250072668175340363611543589725484935034062839436871655645817078609901936209698583<81>

19462871063334167010775754639047856011<38>
12848703943091355957082728142350809363030053<44>

04/24/21 23:06:14 v1.34.5 @ DESKTOP-RJPVCOL, prp44 = 12848703943091355957082728142350809363030053
04/24/21 23:06:14 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 19462871063334167010775754639047856011

70912577535262954860301974929146848289256898976363208930462216862443648611260967783<83>

8428085617467078067269010012876548617<37>
8413841618824769228572223611278361920358729199<46>

P46 = 8413841618824769228572223611278361920358729199
P37 = 8428085617467078067269010012876548617

2358823775415850901926913800368400903292984612754999190862177447808803501740001632833629<88>

131948899086608547840416449897630273081879<42>
17876797697778193763370806553933534025975758251<47>

04/24/21 23:11:16 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 131948899086608547840416449897630273081879
04/24/21 23:11:16 v1.34.5 @ DESKTOP-RJPVCOL, prp47 = 17876797697778193763370806553933534025975758251

17964068871361558245905166297812766879529820943729310287579008069042370370559836221950525243<92>

1979334263468710393654521163832680163654659967<46>
9075813622242960218128959240742058384870018629<46>

04/24/21 23:15:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c92: 17964068871361558245905166297812766879529820943729310287579008069042370370559836221950525243
04/24/21 23:15:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: resuming with filtering
04/24/21 23:15:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
04/24/21 23:25:03 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c92: 17964068871361558245905166297812766879529820943729310287579008069042370370559836221950525243
04/24/21 23:25:03 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 2914370732, 2283898848
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, n = 92 digits, 305 bits
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 78928 primes (max prime = 2132027)
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 255843240 (120 * pmax)
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 43 to 51 bits
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 1362552056092732
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, allocating 9 large prime slices of factor base
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 16 blocks of size 32768
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 12 factors
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 3
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 35
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x128 sieve scanning
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 97 bits
04/24/21 23:25:04 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started (32 threads) ====
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 43867258 sieve locations out of 651875581952
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 1 failures, 772722 attempts, 10480356 outside range, 3926122 prp, 722000 useful
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, 86522 relations found: 23282 full + 63240 from 1025431 partial, using 621677 polys (914 A polys)
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 1.69 rels/poly and 5914.22 rels/sec
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 43867258 sieve locations out of 651875581952
04/24/21 23:28:01 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
04/24/21 23:28:03 v1.34.5 @ DESKTOP-RJPVCOL, begin with 1048713 relations
04/24/21 23:28:03 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 208274 relations in 11 passes
04/24/21 23:28:03 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 66095
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, recovered 208273 relations
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, recovered 176934 polynomials
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, freed 74 duplicate relations
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 86447 cycles
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, found 86447 cycles in 5 passes
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 23280
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 17205
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 15591
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 11631
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 7944
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 4821
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 2804
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 3171
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 18 relations
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 78928 x 86447 (22.8 MB) with weight 5290055 (61.19/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 5290055 (61.19/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 71258 x 71322 (17.4 MB) with weight 3981872 (55.83/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 3981872 (55.83/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 71210 x 71322 (14.9 MB) with weight 3475838 (48.73/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 3201060 (44.88/col)
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, using block size 28528 for processor cache size 12288 kB
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
04/24/21 23:28:04 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 12.0 MB
04/24/21 23:28:11 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 1128 iterations (dim = 71207)
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, recovered 16 nontrivial dependencies
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, prp46 = 1979334263468710393654521163832680163654659967
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, prp46 = 9075813622242960218128959240742058384870018629
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 10.7540 seconds.
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.2310 seconds.
04/24/21 23:28:12 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 188.3052 seconds.

276228406891473149612103783966173889371963561357704722540374009412372057496707664848319240083384720555582043<108>

5328189693901265363050872776370555307352341692893<49>
51842825192137731749433200587554031925988814487223358086551<59>

N=276228406891473149612103783966173889371963561357704722540374009412372057496707664848319240083384720555582043
  ( 108 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=5328189693901265363050872776370555307352341692893 (pp49)
 r2=51842825192137731749433200587554031925988814487223358086551 (pp59)
Version: Msieve v. 1.52 (SVN exported)
Total time: 0.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 276228406891473149612103783966173889371963561357704722540374009412372057496707664848319240083384720555582043
m: 100000000000000000000000000000
deg: 4
c4: 425
c0: -2
skew: 0.26
# Murphy_E = 4.788e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 530001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68773 x 68998
Total sieving time: 0.54 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.55 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

100528424707757955937800106914936395074343726789760766002942526125563550522038196070639550011117261085328526891944953<117>

197803641824542824117273094399790379599200061925059<51>
508223325821924883487443592117895679256341789466686842294835474067<66>

N=100528424707757955937800106914936395074343726789760766002942526125563550522038196070639550011117261085328526891944953
  ( 117 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=197803641824542824117273094399790379599200061925059 (pp51)
 r2=508223325821924883487443592117895679256341789466686842294835474067 (pp66)
Version: Msieve v. 1.52 (SVN exported)
Total time: 0.86 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 100528424707757955937800106914936395074343726789760766002942526125563550522038196070639550011117261085328526891944953
m: 1000000000000000000000000000000
deg: 4
c4: 85
c0: -4
skew: 0.47
# Murphy_E = 3.753e-08
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69031 x 69261
Total sieving time: 0.84 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,75000
total time: 0.86 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

454782391696664332588602876199947808059849626414060588658287314582615944875123048358320840348675423309647112831610469<117>

163092531343052160173893004758861909742644659258970421<54>
2788493059440384580932594133480008192904397264410061126872383089<64>

N=454782391696664332588602876199947808059849626414060588658287314582615944875123048358320840348675423309647112831610469
  ( 117 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=163092531343052160173893004758861909742644659258970421 (pp54)
 r2=2788493059440384580932594133480008192904397264410061126872383089 (pp64)
Version: Msieve v. 1.52 (SVN exported)
Total time: 1.22 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 454782391696664332588602876199947808059849626414060588658287314582615944875123048358320840348675423309647112831610469
m: 10000000000000000000000000000000
deg: 4
c4: 425
c0: -2
skew: 0.26
# Murphy_E = 1.99e-08
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 825001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112010 x 112238
Total sieving time: 1.18 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,75000
total time: 1.22 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

225018450798200961708104068519640981145123724743271234350825788011993892166941796461730037808193092913476139318264596333<120>

23422880581905486264742522798016209<35>
9606779576549221136684826075849176335896934042777686459425645052473995892455436457437<85>

N=225018450798200961708104068519640981145123724743271234350825788011993892166941796461730037808193092913476139318264596333
  ( 120 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=23422880581905486264742522798016209 (pp35)
 r2=9606779576549221136684826075849176335896934042777686459425645052473995892455436457437 (pp85)
Version: Msieve v. 1.52 (SVN exported)
Total time: 1.27 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 225018450798200961708104068519640981145123724743271234350825788011993892166941796461730037808193092913476139318264596333
m: 100000000000000000000000000000000
deg: 4
c4: 17
c0: -8
skew: 0.83
# Murphy_E = 1.594e-08
type: snfs
lss: 1
rlim: 1000000
alim: 1000000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [500000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 139577 x 139805
Total sieving time: 1.23 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1000000,1000000,26,26,47,47,2.3,2.3,100000
total time: 1.27 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

1086802534883804187335093697721601594045242694513360511068252733500163915394084827878607481190644599205125411898160720961787<124>

452098189980940189619299642199694082300738660937<48>
2403908175190044935430578411509015939067119716771671057471323448045482742051<76>

N=1086802534883804187335093697721601594045242694513360511068252733500163915394084827878607481190644599205125411898160720961787
  ( 124 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=452098189980940189619299642199694082300738660937 (pp48)
 r2=2403908175190044935430578411509015939067119716771671057471323448045482742051 (pp76)
Version: Msieve v. 1.52 (SVN exported)
Total time: 1.28 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1086802534883804187335093697721601594045242694513360511068252733500163915394084827878607481190644599205125411898160720961787
m: 100000000000000000000000000000000
deg: 4
c4: 85
c0: -4
skew: 0.47
# Murphy_E = 1.546e-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, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 155077 x 155325
Total sieving time: 1.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 1.28 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

17156067577572663045775254169773505995309221933524294690134195417367214802011769821702558592832574648789784781016688722147969<125>

8343844658971545254125394933241000678340822284413449657<55>
2056134585286886730962997786770908609206945585843862902548972803313417<70>

N=17156067577572663045775254169773505995309221933524294690134195417367214802011769821702558592832574648789784781016688722147969
  ( 125 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=8343844658971545254125394933241000678340822284413449657 (pp55)
 r2=2056134585286886730962997786770908609206945585843862902548972803313417 (pp70)
Version: Msieve v. 1.52 (SVN exported)
Total time: 3.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 17156067577572663045775254169773505995309221933524294690134195417367214802011769821702558592832574648789784781016688722147969
m: 10000000000000000000000000000000000
deg: 4
c4: 85
c0: -4
skew: 0.47
# Murphy_E = 6.245e-09
type: snfs
lss: 1
rlim: 1390000
alim: 1390000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1390000/1390000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [695000, 1595001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 204081 x 204307
Total sieving time: 2.94 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,137.000,4,0,0,0,0,0,0,0,0,1390000,1390000,26,26,48,48,2.3,2.3,100000
total time: 3.00 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

15915797461695038872385334134060773626860729859061831883213532043791787487501596694334494988592965582888722217010116869466330892293473<134>

49796963339069008647626921253694341374081<41>
453376422968064519325550026471945639731943<42>
704963468501414760288643512339408165878262252202231<51>

N=15915797461695038872385334134060773626860729859061831883213532043791787487501596694334494988592965582888722217010116869466330892293473
  ( 134 digits)
SNFS difficulty: 144 digits.
Divisors found:
 r1=49796963339069008647626921253694341374081 (pp41)
 r2=453376422968064519325550026471945639731943 (pp42)
 r3=704963468501414760288643512339408165878262252202231 (pp51)
Version: Msieve v. 1.52 (SVN exported)
Total time: 6.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 15915797461695038872385334134060773626860729859061831883213532043791787487501596694334494988592965582888722217010116869466330892293473
m: 500000000000000000000000000000000000
deg: 4
c4: 17
c0: -5
skew: 0.74
# Murphy_E = 3.385e-09
type: snfs
lss: 1
rlim: 1760000
alim: 1760000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1760000/1760000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [880000, 1580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 199517 x 199742
Total sieving time: 6.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,144.000,4,0,0,0,0,0,0,0,0,1760000,1760000,26,26,49,49,2.3,2.3,100000
total time: 6.63 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

4345954764184224265333929440470358139285432220600449689765500328800029338775994686972191934698575864396337013701231<115>

4606470435115481353294264951978156107790261<43>
943445708682872264681226483820737498646735137838604194153146874436810771<72>

N=4345954764184224265333929440470358139285432220600449689765500328800029338775994686972191934698575864396337013701231
  ( 115 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=4606470435115481353294264951978156107790261 (pp43)
 r2=943445708682872264681226483820737498646735137838604194153146874436810771 (pp72)
Version: Msieve v. 1.52 (SVN exported)
Total time: 10.53 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4345954764184224265333929440470358139285432220600449689765500328800029338775994686972191934698575864396337013701231
m: 10000000000000000000000000000000000000
deg: 4
c4: 85
c0: -4
skew: 0.47
# Murphy_E = 1.549e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 365806 x 366031
Total sieving time: 10.41 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,4,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 10.53 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

171030181295105542201495890001952606920306749209115194208070263508612533577671860201795668709503<96>

383450373964595508654547247924568314120057<42>
446029507095739565050687780276373168631689293997425079<54>

p42 factor: 383450373964595508654547247924568314120057
p54 factor: 446029507095739565050687780276373168631689293997425079

N=171030181295105542201495890001952606920306749209115194208070263508612533577671860201795668709503
  ( 96 digits)
Divisors found:
Version: Msieve v. 1.54 (SVN 1025)
Total time: 3.80 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
name: 96
n:  171030181295105542201495890001952606920306749209115194208070263508612533577671860201795668709503
m:  6965975313009363981841
deg: 4
c4: 72634848
c3: -61171007220
c2: -886241488694235904
c1: 689529726024509
c0: 125825337298211677134150
skew: 1635.250
type: gnfs
# adj. I(F,S) = 55.748
# E(F1,F2) = 3.015771e-05
# GGNFS version 0.77.1-20060513-nocona polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=60.00000000, seed=1619275712.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 1200000
alim: 1200000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.4
alambda: 2.4
qintsize: 60000

type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved algebraic special-q in [600000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153204 x 153429
Total sieving time: 3.75 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,95,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.80 hours.
 --------- CPU info (if available) ----------

236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<153>

168488201401771827902685910448027823764396058394031726731<57>
1401351009428178027254727397895273300551096364739410417798993369800176047962877198760872701148981<97>

04/25/21 01:39:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c153: 236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
04/25/21 01:39:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: continuing with sieving - could not determine last special q; using default startq
04/25/21 01:39:20 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 01:42:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 01:46:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 01:49:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 01:53:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 01:57:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:00:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:04:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:08:04 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:11:40 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:15:25 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:18:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:22:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:26:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:29:59 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:33:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:37:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:40:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:44:37 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:48:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:51:56 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:55:34 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 02:59:15 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 03:02:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 03:06:38 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 03:10:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 03:14:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 16 threads
04/25/21 03:17:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
04/25/21 03:19:17 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
04/25/21 03:21:22 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
04/25/21 03:21:40 v1.34.5 @ DESKTOP-RJPVCOL, prp57 = 168488201401771827902685910448027823764396058394031726731
04/25/21 03:21:40 v1.34.5 @ DESKTOP-RJPVCOL, prp97 = 1401351009428178027254727397895273300551096364739410417798993369800176047962877198760872701148981
04/25/21 03:21:40 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 6140.3986 seconds.

yafu with SNFS

673830222370925173333348469456623633909456707580537881107171409033402249271316920863209572990621619120643473519423511708152758532638097<135>

2509843878075530394322688127389206413583556747<46>
268474955058797148860743419969116673093730719128255953996370837941503780876182056093252051<90>

N=673830222370925173333348469456623633909456707580537881107171409033402249271316920863209572990621619120643473519423511708152758532638097
  ( 135 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=2509843878075530394322688127389206413583556747 (pp46)
 r2=268474955058797148860743419969116673093730719128255953996370837941503780876182056093252051 (pp90)
Version: Msieve v. 1.52 (SVN exported)
Total time: 12.75 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 673830222370925173333348469456623633909456707580537881107171409033402249271316920863209572990621619120643473519423511708152758532638097
m: 5000000000000000000000000000000
deg: 5
c5: 34
c0: -5
skew: 0.68
# Murphy_E = 9.159e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 328803 x 329031
Total sieving time: 12.64 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 12.75 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

1457745850872403745058199757620766102714190374655823554062674489349576919295607197840289077453878424007<103>

5716401847458898944538377362650269308537293<43>
255011087353911742276768197287404692425125610480750797424099<60>

N=1457745850872403745058199757620766102714190374655823554062674489349576919295607197840289077453878424007
  ( 103 digits)
Divisors found:
 r1=5716401847458898944538377362650269308537293 (pp43)
 r2=255011087353911742276768197287404692425125610480750797424099 (pp60)
Version: Msieve v. 1.52 (SVN exported)
Total time: 3.06 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1457745850872403745058199757620766102714190374655823554062674489349576919295607197840289077453878424007
skew: 9976.47
# norm 3.54e+14
c5: 105840
c4: -2263843270
c3: -11461059831311
c2: 284111125687175094
c1: 1034000277750839442264
c0: -1617869374327833532514496
# alpha -6.58
Y1: 140072110277
Y0: -26780341739929006567
# Murphy_E 2.60e-09
# M 1008603586651595469106301231237741838375683233991193586035341015016415015677407442011725304765573396086
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000

Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240684 x 240910
Total sieving time: 2.99 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 3.06 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

588498005843915624775220917421467399448365607725324568394516641500383939305475644726758736291<93>

75077640976090474806458389849437584079193<41>
7838525534270996188027438297683330997896583042250587<52>

P52 = 7838525534270996188027438297683330997896583042250587
P41 = 75077640976090474806458389849437584079193

108311021595768739805423693241813769461007493814005134388582618781320031051793227815518399559086943316524879315233601661493552841441780926204663<144>

1578735213854085133228091901614806880911691828016623758700967282977<67>
68606198585609938850562712085750001716002404939578122551950147073535869655319<77>

108311021595768739805423693241813769461007493814005134388582618781320031051793227815518399559086943316524879315233601661493552841441780926204663=1578735213854085133228091901614806880911691828016623758700967282977*68606198585609938850562712085750001716002404939578122551950147073535869655319

cado polynomial
n: 108311021595768739805423693241813769461007493814005134388582618781320031051793227815518399559086943316524879315233601661493552841441780926204663
skew: 1.36
type: snfs
c0: -80
c5: 17
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
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: 1578735213854085133228091901614806880911691828016623758700967282977 68606198585609938850562712085750001716002404939578122551950147073535869655319
Info:Square Root: Total cpu/real time for sqrt: 78.22/25.3493
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.83255
Info:Generate Free Relations: Total cpu/real time for freerel: 50.23/13.0005
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11635953
Info:Lattice Sieving: Average J: 1894.22 for 252659 special-q, max bucket fill -bkmult 1.0,1s:1.164030
Info:Lattice Sieving: Total time: 46821.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.7/51.7713
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 93.39/82.217
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.88/67.8338
Info:Filtering - Merging: Merged matrix has 418650 rows and total weight 71324854 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.06/16.2294
Info:Filtering - Merging: Total cpu/real time for replay: 13.43/11.2341
Info:Linear Algebra: Total cpu/real time for bwc: 2535.88/653.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 401.11, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 64.17, WCT time 19.1
Info:Linear Algebra: Mksol: WCT time 220.95, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 13.76/5.35281
Info:Square Root: Total cpu/real time for sqrt: 78.22/25.3493
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 94417.2/4952.99
Info:root: Cleaning up computation data in /tmp/cado.nph1f196
1578735213854085133228091901614806880911691828016623758700967282977 68606198585609938850562712085750001716002404939578122551950147073535869655319

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

89628306934917864272623755896355859803863052380781339706914294837595358559108237186849110901796833277117594331989948797532578551760732373369741<143>

2243790710114905777023550576040317001335943497607<49>
39945038782306014874759429203680926400939553506234467812867864008736612134913213456938091231563<95>

89628306934917864272623755896355859803863052380781339706914294837595358559108237186849110901796833277117594331989948797532578551760732373369741=2243790710114905777023550576040317001335943497607*39945038782306014874759429203680926400939553506234467812867864008736612134913213456938091231563

cado polynomial
n: 89628306934917864272623755896355859803863052380781339706914294837595358559108237186849110901796833277117594331989948797532578551760732373369741
skew: 0.86
type: snfs
c0: -8
c5: 17
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
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: 2243790710114905777023550576040317001335943497607 39945038782306014874759429203680926400939553506234467812867864008736612134913213456938091231563
Info:Square Root: Total cpu/real time for sqrt: 62.43/20.0733
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/0.829271
Info:Generate Free Relations: Total cpu/real time for freerel: 49.63/13.005
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11666032
Info:Lattice Sieving: Average J: 1893.61 for 177255 special-q, max bucket fill -bkmult 1.0,1s:1.211710
Info:Lattice Sieving: Total time: 38304.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.62/51.1557
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 94.05/84.1422
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 79.33/76.2639
Info:Filtering - Merging: Merged matrix has 349634 rows and total weight 59485224 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.43/13.3451
Info:Filtering - Merging: Total cpu/real time for replay: 12.09/10.2253
Info:Linear Algebra: Total cpu/real time for bwc: 1703.37/440.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 267.71, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11008 iterations)
Info:Linear Algebra: Lingen CPU time 51.23, WCT time 15.3
Info:Linear Algebra: Mksol: WCT time 147.79, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5504 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 11.53/4.48753
Info:Square Root: Total cpu/real time for sqrt: 62.43/20.0733
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 75981.3/4812.46
Info:root: Cleaning up computation data in /tmp/cado.s17i5j6l
2243790710114905777023550576040317001335943497607 39945038782306014874759429203680926400939553506234467812867864008736612134913213456938091231563

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

6507613841621608625879832382520071592180229631416305965095743969332196111013045356699312032303510449569508082688102326516679019292252116258045589249<148>

223558758871870219755486934721404456966299565645906257592550804957<66>
29109187555256389799655079173388181169514933546087076785144367865037569162533623157<83>

6507613841621608625879832382520071592180229631416305965095743969332196111013045356699312032303510449569508082688102326516679019292252116258045589249=223558758871870219755486934721404456966299565645906257592550804957*29109187555256389799655079173388181169514933546087076785144367865037569162533623157

cado polynomial
n: 6507613841621608625879832382520071592180229631416305965095743969332196111013045356699312032303510449569508082688102326516679019292252116258045589249
skew: 5.43
type: snfs
c0: -80000
c5: 17
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80000
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
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: 29109187555256389799655079173388181169514933546087076785144367865037569162533623157 223558758871870219755486934721404456966299565645906257592550804957
Info:Square Root: Total cpu/real time for sqrt: 95.68/30.0572
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.83/1.01412
Info:Generate Free Relations: Total cpu/real time for freerel: 49.66/12.8499
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11647342
Info:Lattice Sieving: Average J: 1893.99 for 345098 special-q, max bucket fill -bkmult 1.0,1s:1.153280
Info:Lattice Sieving: Total time: 59787.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.61/53.509
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 96.38/86.6502
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 68.53/68.6987
Info:Filtering - Merging: Merged matrix has 496467 rows and total weight 85004200 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 68.89/31.829
Info:Filtering - Merging: Total cpu/real time for replay: 17.82/16.1304
Info:Linear Algebra: Total cpu/real time for bwc: 3670.66/997.04
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 630.41, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15616 iterations)
Info:Linear Algebra: Lingen CPU time 81.87, WCT time 24.12
Info:Linear Algebra: Mksol: WCT time 320.07, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7808 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 16.24/6.41324
Info:Square Root: Total cpu/real time for sqrt: 95.68/30.0572
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 122350/9027.87
Info:root: Cleaning up computation data in /tmp/cado.a135czgx
29109187555256389799655079173388181169514933546087076785144367865037569162533623157 223558758871870219755486934721404456966299565645906257592550804957

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

138532551208456997832260608423192540452629671028092389705739133552258041267214723538051288423541634784328642665515551810291102477<129>

283955434911715739200130159449081516453712285301271820633<57>
487867229065462316362374692013697320156110962939311139886015323216403669<72>

N=138532551208456997832260608423192540452629671028092389705739133552258041267214723538051288423541634784328642665515551810291102477
  ( 129 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=283955434911715739200130159449081516453712285301271820633 (pp57)
 r2=487867229065462316362374692013697320156110962939311139886015323216403669 (pp72)
Version: Msieve v. 1.52 (SVN exported)
Total time: 22.10 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 138532551208456997832260608423192540452629671028092389705739133552258041267214723538051288423541634784328642665515551810291102477
m: 100000000000000000000000000000000
deg: 5
c5: 425
c0: -2
skew: 0.34
# Murphy_E = 4.639e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 496372 x 496599
Total sieving time: 21.91 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 22.10 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

22859674104963771103015312977807439204421953197794821673476296854978179746096739603508598016332617111965534228905323443567644055007324027034168949<146>

7159052365561448148227529365476870909708139900919265573<55>
3193114526571981969989829734950032818678374603944682479503444963111309977900602192542410513<91>

N=22859674104963771103015312977807439204421953197794821673476296854978179746096739603508598016332617111965534228905323443567644055007324027034168949
  ( 146 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=7159052365561448148227529365476870909708139900919265573 (pp55)
 r2=3193114526571981969989829734950032818678374603944682479503444963111309977900602192542410513 (pp91)
Version: Msieve v. 1.52 (SVN exported)
Total time: 24.57 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 22859674104963771103015312977807439204421953197794821673476296854978179746096739603508598016332617111965534228905323443567644055007324027034168949
m: 500000000000000000000000000000000
deg: 5
c5: 34
c0: -5
skew: 0.68
# Murphy_E = 3.75e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1950000, 4150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 546532 x 546759
Total sieving time: 24.34 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 24.57 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

6159989316301498375546252317346570024551944177258532889454357323457430338503486214807174844370891541<100>

113978322216478315956914216622422935967446147583<48>
54045271034976888995255265550674035712721490093179627<53>

N=6159989316301498375546252317346570024551944177258532889454357323457430338503486214807174844370891541
  ( 100 digits)
Divisors found:
 r1=113978322216478315956914216622422935967446147583 (pp48)
 r2=54045271034976888995255265550674035712721490093179627 (pp53)
Version: Msieve v. 1.52 (SVN exported)
Total time: 2.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
name: 100
n: 6159989316301498375546252317346570024551944177258532889454357323457430338503486214807174844370891541
skew: 2622.79
# norm 4.73e+13
c5: 106560
c4: -682475804
c3: -7305595292887
c2: 8399969383124821
c1: 8766644494521541197
c0: 1149042600935832878487
# alpha -5.18
Y1: 36210598259
Y0: -8961885631096518704
# Murphy_E 3.51e-09
# M 3365382286893312296212258238025042836266493981734258454775903524241513281814913639703765023568830798
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 184862 x 185091
Polynomial selection time: 0.38 hours.
Total sieving time: 2.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 2.74 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

13862522214483888861669251888771992193823185044352689119286349026542735862208219081582999869608597988330954578395973329129471966746541578888402981<146>

246794495039399809394178912831756893944733840848306204528430367119<66>
56170305631293718792971881071570576836301490295657292071170944798311413975877899<80>

N=13862522214483888861669251888771992193823185044352689119286349026542735862208219081582999869608597988330954578395973329129471966746541578888402981
  ( 146 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=246794495039399809394178912831756893944733840848306204528430367119 (pp66)
 r2=56170305631293718792971881071570576836301490295657292071170944798311413975877899 (pp80)
Version: Msieve v. 1.52 (SVN exported)
Total time: 24.20 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 13862522214483888861669251888771992193823185044352689119286349026542735862208219081582999869608597988330954578395973329129471966746541578888402981
m: 1000000000000000000000000000000000
deg: 5
c5: 85
c0: -4
skew: 0.54
# Murphy_E = 3.365e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 612995 x 613220
Total sieving time: 23.92 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.14 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 24.20 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

390502180208656590139105335025324679573419705207822915939922324882123717284063559279128101370391075989486215900994851446440390769<129>

640721890305380166196383023690699107512224633<45>
609472200212382112223718245065552898135334863764462968324325051347294446014704670393<84>

390502180208656590139105335025324679573419705207822915939922324882123717284063559279128101370391075989486215900994851446440390769=640721890305380166196383023690699107512224633*609472200212382112223718245065552898135334863764462968324325051347294446014704670393

cado polynomial
# Polynôme pour 18888_167
n: 390502180208656590139105335025324679573419705207822915939922324882123717284063559279128101370391075989486215900994851446440390769
skew: 3.42
type: snfs
c0: -8000
c5: 17
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8000
# 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: 640721890305380166196383023690699107512224633 609472200212382112223718245065552898135334863764462968324325051347294446014704670393
Info:Square Root: Total cpu/real time for sqrt: 197.97/62.9822
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.13/1.16624
Info:Generate Free Relations: Total cpu/real time for freerel: 51.34/13.2891
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11643513
Info:Lattice Sieving: Average J: 1893.71 for 461763 special-q, max bucket fill -bkmult 1.0,1s:1.123230
Info:Lattice Sieving: Total time: 77256.4s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.71/54.1741
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 98.08/87.3574
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.95/52.1261
Info:Filtering - Merging: Merged matrix has 827236 rows and total weight 141124161 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 129.12/36.3833
Info:Filtering - Merging: Total cpu/real time for replay: 30.81/25.775
Info:Linear Algebra: Total cpu/real time for bwc: 10728/2759.25
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1733.9, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 141.6, WCT time 41.66
Info:Linear Algebra: Mksol: WCT time 945.51, 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: 30.18/11.8079
Info:Square Root: Total cpu/real time for sqrt: 197.97/62.9822
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 172382/41934.6
Info:root: Cleaning up computation data in /tmp/cado.a64w0itk
640721890305380166196383023690699107512224633 609472200212382112223718245065552898135334863764462968324325051347294446014704670393

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

320283043003172977846455267721783373692834560735268281089342770037922736535781699893688898187899706852660947127242652181205304983<129>

17791164075114760876024713590723766976054374437<47>
18002365761505519170540704721337798466276522196384190859792947561295197891166523659<83>

320283043003172977846455267721783373692834560735268281089342770037922736535781699893688898187899706852660947127242652181205304983=17791164075114760876024713590723766976054374437*18002365761505519170540704721337798466276522196384190859792947561295197891166523659

cado polynomial
n: 320283043003172977846455267721783373692834560735268281089342770037922736535781699893688898187899706852660947127242652181205304983
skew: 0.88
type: snfs
c0: -8
c6: 17
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 17*x^6-8
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4600000
tasks.lim1 = 4600000
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: 18002365761505519170540704721337798466276522196384190859792947561295197891166523659 17791164075114760876024713590723766976054374437
Info:Square Root: Total cpu/real time for sqrt: 305.6/92.4754
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.1/1.46144
Info:Generate Free Relations: Total cpu/real time for freerel: 81.09/20.578
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620857
Info:Lattice Sieving: Average J: 1894.23 for 556976 special-q, max bucket fill -bkmult 1.0,1s:1.168210
Info:Lattice Sieving: Total time: 82047.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.26/53.0822
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.27/83.8027
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.05/55.9492
Info:Filtering - Merging: Merged matrix has 735996 rows and total weight 125495885 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 104.32/29.8447
Info:Filtering - Merging: Total cpu/real time for replay: 25.68/21.507
Info:Linear Algebra: Total cpu/real time for bwc: 8266.74/2128.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1325.0, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23040 iterations)
Info:Linear Algebra: Lingen CPU time 128.19, WCT time 38.01
Info:Linear Algebra: Mksol: WCT time 732.59, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11520 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 25.18/9.90505
Info:Square Root: Total cpu/real time for sqrt: 305.6/92.4754
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 177259/11106
Info:root: Cleaning up computation data in /tmp/cado.k23bfn1k
18002365761505519170540704721337798466276522196384190859792947561295197891166523659 17791164075114760876024713590723766976054374437

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

67428920628332319408620252196030639993461076455660377541094968183275093626008230142413719849106577748958181132377050352043538787414074969466677504794727755225263<161>

3597879722676096072793614407983596433057606406271491<52>
18741293713448213022249069248075295864180891988533808749352275058390442321369740715713843962664895196887102693<110>

67428920628332319408620252196030639993461076455660377541094968183275093626008230142413719849106577748958181132377050352043538787414074969466677504794727755225263=3597879722676096072793614407983596433057606406271491*18741293713448213022249069248075295864180891988533808749352275058390442321369740715713843962664895196887102693

cado polynomial
n: 67428920628332319408620252196030639993461076455660377541094968183275093626008230142413719849106577748958181132377050352043538787414074969466677504794727755225263
skew: 1.36
type: snfs
c0: -80
c5: 17
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80
# 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: 3597879722676096072793614407983596433057606406271491 18741293713448213022249069248075295864180891988533808749352275058390442321369740715713843962664895196887102693
Info:Square Root: Total cpu/real time for sqrt: 191.03/60.4527
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.17/1.17828
Info:Generate Free Relations: Total cpu/real time for freerel: 51.29/13.2844
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11622025
Info:Lattice Sieving: Average J: 1893.49 for 442977 special-q, max bucket fill -bkmult 1.0,1s:1.172600
Info:Lattice Sieving: Total time: 76218.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.29/53.4862
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 53.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 97.69/86.8262
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.99/54.1778
Info:Filtering - Merging: Merged matrix has 829638 rows and total weight 141294194 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 129.04/56.4531
Info:Filtering - Merging: Total cpu/real time for replay: 30.22/26.6868
Info:Linear Algebra: Total cpu/real time for bwc: 10786.7/2773
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1740.24, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 142.01, WCT time 41.74
Info:Linear Algebra: Mksol: WCT time 953.32, 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: 30.41/11.8173
Info:Square Root: Total cpu/real time for sqrt: 191.03/60.4527
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 169381/11452.7
Info:root: Cleaning up computation data in /tmp/cado.2v79zd82
3597879722676096072793614407983596433057606406271491 18741293713448213022249069248075295864180891988533808749352275058390442321369740715713843962664895196887102693

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

43027988843921408943483545737829728416646541731857603467029379805469784202741115366537766454883889092393507513875877529774331381598600589653896077<146>

10803199003320756711765402854847424993853<41>
3982893292134597290245433817761971189043938509207624439582068684647878083723653011023452113933059704273809<106>

43027988843921408943483545737829728416646541731857603467029379805469784202741115366537766454883889092393507513875877529774331381598600589653896077=10803199003320756711765402854847424993853*3982893292134597290245433817761971189043938509207624439582068684647878083723653011023452113933059704273809

cado polynomial
n: 43027988843921408943483545737829728416646541731857603467029379805469784202741115366537766454883889092393507513875877529774331381598600589653896077
skew: 5.43
type: snfs
c0: -80000
c5: 17
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80000
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
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: 3982893292134597290245433817761971189043938509207624439582068684647878083723653011023452113933059704273809 10803199003320756711765402854847424993853
Info:Square Root: Total cpu/real time for sqrt: 175.81/55.8958
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.61/1.33923
Info:Generate Free Relations: Total cpu/real time for freerel: 102.36/26.3477
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22427290
Info:Lattice Sieving: Average J: 1893.17 for 734863 special-q, max bucket fill -bkmult 1.0,1s:1.136780
Info:Lattice Sieving: Total time: 168879s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 40.51/107.703
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 107.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 199.82/175.941
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 167.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 134.11/111.3
Info:Filtering - Merging: Merged matrix has 829670 rows and total weight 141799167 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 110.5/31.6208
Info:Filtering - Merging: Total cpu/real time for replay: 28.23/23.7676
Info:Linear Algebra: Total cpu/real time for bwc: 10664.4/2744.07
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1721.26, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 142.24, WCT time 41.89
Info:Linear Algebra: Mksol: WCT time 943.04, 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: 27.8/10.9144
Info:Square Root: Total cpu/real time for sqrt: 175.81/55.8958
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 317345/19107.5
Info:root: Cleaning up computation data in /tmp/cado._oxgr7bj
3982893292134597290245433817761971189043938509207624439582068684647878083723653011023452113933059704273809 10803199003320756711765402854847424993853

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

262345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679<171>

179901677504528957809156457202406179859<39>
1458272555606054446789441942549332967247405334941212148906950324846095434101164566643929385221764367747702594629581310386680734256981<133>

N=262345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
  ( 171 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=179901677504528957809156457202406179859 (pp39)
 r2=1458272555606054446789441942549332967247405334941212148906950324846095434101164566643929385221764367747702594629581310386680734256981 (pp133)
Version: Msieve v. 1.52 (SVN exported)
Total time: 38.74 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 262345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679012345679
m: 10000000000000000000000000000000000
deg: 5
c5: 425
c0: -2
skew: 0.34
# Murphy_E = 1.873e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2650000, 5950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1046089 x 1046318
Total sieving time: 38.20 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,172.000,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
total time: 38.74 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

7793618686252385007362245192795053204097218627736516898920029900219190082854316376078250945778247408843373153776880803198089136320430873890591551227552760732646839<163>

39512544763685471152066043384448902138916894650578043<53>
197244159617256890319795613444673394942220455039712464384039663448364698976674056255188550501575706992786377973<111>

N=7793618686252385007362245192795053204097218627736516898920029900219190082854316376078250945778247408843373153776880803198089136320430873890591551227552760732646839
  ( 163 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=39512544763685471152066043384448902138916894650578043 (pp53)
 r2=197244159617256890319795613444673394942220455039712464384039663448364698976674056255188550501575706992786377973 (pp111)
Version: Msieve v. 1.52 (SVN exported)
Total time: 44.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7793618686252385007362245192795053204097218627736516898920029900219190082854316376078250945778247408843373153776880803198089136320430873890591551227552760732646839
m: 10000000000000000000000000000000000
deg: 5
c5: 2125
c0: -1
skew: 0.22
# Murphy_E = 1.703e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 6200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1048226 x 1048454
Total sieving time: 43.71 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 44.23 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

160778915183493278486725426424362565711180877145349989994949315718337222631530457136713630961200792212975332938929<114>

87868358677766721782040801457981090306210259<44>
1829770324641048190984764286266980673563086952838271129597375965905131<70>

04/25/21 09:23:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing nfs on c114: 160778915183493278486725426424362565711180877145349989994949315718337222631530457136713630961200792212975332938929
04/25/21 09:23:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing poly selection with 8 threads
04/25/21 09:23:55 v1.34.5 @ DESKTOP-RJPVCOL, nfs: setting deadline of 750 seconds
04/25/21 09:36:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: completed 179 ranges of size 250 in 772.4455 seconds
04/25/21 09:36:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: best poly = # norm 8.560716e-011 alpha -6.924521 e 6.427e-010 rroots 3
04/25/21 09:36:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 09:42:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 09:47:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 09:52:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 09:58:29 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:03:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:08:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:14:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:19:58 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:25:45 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:31:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:37:02 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:43:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:48:47 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 10:54:24 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:00:09 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:05:50 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:11:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:17:49 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:23:23 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:29:14 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:35:07 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:41:10 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/25/21 11:46:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
04/25/21 11:48:27 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
04/25/21 11:51:21 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
04/25/21 11:52:09 v1.34.5 @ DESKTOP-RJPVCOL, prp70 = 1829770324641048190984764286266980673563086952838271129597375965905131
04/25/21 11:52:09 v1.34.5 @ DESKTOP-RJPVCOL, prp44 = 87868358677766721782040801457981090306210259
04/25/21 11:52:09 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 8893.7666 seconds.
04/25/21 11:52:09 v1.34.5 @ DESKTOP-RJPVCOL, 

643592771009099186239908459427056016526274260353612965072490208994706280057384240524625129925233370714040544263018403051638969159192091830020746265014909617<156>

233078646394059549284192738694669578898115778708906970649349<60>
2761268700355307910641231244229015464428772875868044519026018896929463551417366617919517261983933<97>

643592771009099186239908459427056016526274260353612965072490208994706280057384240524625129925233370714040544263018403051638969159192091830020746265014909617=233078646394059549284192738694669578898115778708906970649349*2761268700355307910641231244229015464428772875868044519026018896929463551417366617919517261983933

cado polynomial
n: 643592771009099186239908459427056016526274260353612965072490208994706280057384240524625129925233370714040544263018403051638969159192091830020746265014909617
skew: 0.86
type: snfs
c0: -8
c5: 17
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6100000
tasks.lim1 = 6100000
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: 233078646394059549284192738694669578898115778708906970649349 2761268700355307910641231244229015464428772875868044519026018896929463551417366617919517261983933
Info:Square Root: Total cpu/real time for sqrt: 144.63/45.9346
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.15/99.2629
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.1s
Info:Linear Algebra: Total cpu/real time for bwc: 7908.54/2035.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4967.88, WCT time 1270.82, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Linear Algebra: Lingen CPU time 126.16, WCT time 32.12
Info:Linear Algebra: Mksol: CPU time 2703.55,  WCT time 691.23, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 147.62/78.5838
Info:Generate Factor Base: Total cpu/real time for makefb: 2.6/1.39417
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.77/155.315
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 135.5s
Info:Quadratic Characters: Total cpu/real time for characters: 23.8/9.37364
Info:Generate Free Relations: Total cpu/real time for freerel: 120.39/32.8883
Info:Square Root: Total cpu/real time for sqrt: 144.63/45.9346
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22410778
Info:Lattice Sieving: Average J: 1892.52 for 524841 special-q, max bucket fill -bkmult 1.0,1s:1.180480
Info:Lattice Sieving: Total time: 86340.7s
Info:Filtering - Merging: Total cpu/real time for merge: 161.51/45.2203
Info:Filtering - Merging: Total cpu/real time for replay: 24.39/20.455
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 173842/10056.6
Info:root: Cleaning up computation data in /tmp/cado.7lbd42cg
233078646394059549284192738694669578898115778708906970649349 2761268700355307910641231244229015464428772875868044519026018896929463551417366617919517261983933

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

342964730477122652434586929672872558333640933083363911646893793555514713634608238856183428625598138759018607279<111>

801012618460018680364263510787116694146464626514789<51>
428163954690860107047843221161188198419807524128101760161411<60>

N=342964730477122652434586929672872558333640933083363911646893793555514713634608238856183428625598138759018607279
  ( 111 digits)
Divisors found:
 r1=801012618460018680364263510787116694146464626514789 (pp51)
 r2=428163954690860107047843221161188198419807524128101760161411 (pp60)
Version: Msieve v. 1.52 (SVN exported)
Total time: 9.07 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 342964730477122652434586929672872558333640933083363911646893793555514713634608238856183428625598138759018607279
skew: 62564.58
c0: -1086395863721796439119828504
c1: 185263263736042837591044
c2: -468465773827389989
c3: -99807542680274
c4: 481228
c5: 9240
Y0: -2060229047165167107725
Y1: 12795265982899
rlim: 3460000
alim: 3460000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 100000
type: gnfs
Factor base limits: 3460000/3460000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1730000, 2430001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 389521 x 389748
Total sieving time: 8.94 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,110,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3460000,3460000,26,26,52,52,2.5,2.5,100000
total time: 9.07 hours.
 --------- CPU info (if available) ----------
[    0.246439] smpboot: CPU0: Intel(R) Xeon(R) CPU E5-2630 v4 @ 2.20GHz (fam: 06, model: 4f, stepping: 01)
[    0.000000] Memory: 4978536k/9437184k available (6886k kernel code, 1049112k absent, 397160k reserved, 4545k data, 1764k init)
[    0.184740] Calibrating delay loop (skipped) preset value.. 4399.99 BogoMIPS (lpj=2199998)
[    0.407628] smpboot: Total of 8 processors activated (35199.96 BogoMIPS)

281339511993430392204977271830969227084092393695110934052106514178952850305759992380229556089009656494741827624153959498932137439003246649896333971146913807387654889<165>

76462350692539158569579732779971922358096534817470197613<56>
3679451513656932293337032809150553302444084111301705148334645405129286928285446464223436659393237613366607853<109>

281339511993430392204977271830969227084092393695110934052106514178952850305759992380229556089009656494741827624153959498932137439003246649896333971146913807387654889=76462350692539158569579732779971922358096534817470197613*3679451513656932293337032809150553302444084111301705148334645405129286928285446464223436659393237613366607853

cado polynomial
n: 281339511993430392204977271830969227084092393695110934052106514178952850305759992380229556089009656494741827624153959498932137439003246649896333971146913807387654889
skew: 3.42
type: snfs
c0: -8000
c5: 17
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8000
# 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: 76462350692539158569579732779971922358096534817470197613 3679451513656932293337032809150553302444084111301705148334645405129286928285446464223436659393237613366607853
Info:Square Root: Total cpu/real time for sqrt: 454.91/144.338
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.8/327.551
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 268.5s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23651545
Info:Lattice Sieving: Average J: 1894.27 for 1471924 special-q, max bucket fill -bkmult 1.0,1s:1.117590
Info:Lattice Sieving: Total time: 255989s
Info:Generate Free Relations: Total cpu/real time for freerel: 119.1/31.9424
Info:Quadratic Characters: Total cpu/real time for characters: 61.81/25.0002
Info:Square Root: Total cpu/real time for sqrt: 454.91/144.338
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.2/116.38
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.8s
Info:Filtering - Merging: Merged matrix has 1707266 rows and total weight 291327079 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 447.62/124.438
Info:Filtering - Merging: Total cpu/real time for replay: 66.63/56.4756
Info:Linear Algebra: Total cpu/real time for bwc: 47833.6/12270.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30603.93, WCT time 7815.7, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53504 iterations)
Info:Linear Algebra: Lingen CPU time 335.54, WCT time 85.29
Info:Linear Algebra: Mksol: CPU time 16582.92,  WCT time 4248.52, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.84/2.11157
Info:Filtering - Singleton removal: Total cpu/real time for purge: 239.78/257.753
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 541528/38665.5
Info:root: Cleaning up computation data in /tmp/cado.ato2yl0s
76462350692539158569579732779971922358096534817470197613 3679451513656932293337032809150553302444084111301705148334645405129286928285446464223436659393237613366607853

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

10265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657<182>

96644754556655581358998278340620700381596452861585355836788249987368322036927<77>
106220979402185517467070855657526936724648779520461677338454303378639704386970550964136625237102368154991<105>

10265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657=96644754556655581358998278340620700381596452861585355836788249987368322036927*106220979402185517467070855657526936724648779520461677338454303378639704386970550964136625237102368154991

cado polynomial
n: 10265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657
skew: 2.16
type: snfs
c0: -800
c5: 17
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-800
# 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: 106220979402185517467070855657526936724648779520461677338454303378639704386970550964136625237102368154991 96644754556655581358998278340620700381596452861585355836788249987368322036927
Info:Square Root: Total cpu/real time for sqrt: 758.04/232.722
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23532940
Info:Lattice Sieving: Average J: 1894.18 for 1380915 special-q, max bucket fill -bkmult 1.0,1s:1.139510
Info:Lattice Sieving: Total time: 246028s
Info:Square Root: Total cpu/real time for sqrt: 758.04/232.722
Info:Quadratic Characters: Total cpu/real time for characters: 59.63/24.0634
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.52/115.287
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 114.9s
Info:Filtering - Merging: Merged matrix has 1644529 rows and total weight 280311756 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 442.84/122.891
Info:Filtering - Merging: Total cpu/real time for replay: 63.56/54.4633
Info:Linear Algebra: Total cpu/real time for bwc: 44157.4/11337.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 28210.41, WCT time 7208.59, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51456 iterations)
Info:Linear Algebra: Lingen CPU time 323.75, WCT time 82.22
Info:Linear Algebra: Mksol: CPU time 15323.43,  WCT time 3930.16, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.77/2.9359
Info:Generate Free Relations: Total cpu/real time for freerel: 120.83/55.8381
Info:Filtering - Singleton removal: Total cpu/real time for purge: 241.71/283.558
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 355.99/343.682
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 283.4s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 509470/53078
Info:root: Cleaning up computation data in /tmp/cado.t6p7bi9t
106220979402185517467070855657526936724648779520461677338454303378639704386970550964136625237102368154991 96644754556655581358998278340620700381596452861585355836788249987368322036927

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4406858911204386709964550866481872130331467269972672305526003544166478172598219723837145525554054206267164762669395346506517874266286729478942087<145>

82298248236681459509771126237537877071792827<44>
53547420578512255260388013930132603934140904365055973336237325410506351004014063926808228677667625381<101>

4406858911204386709964550866481872130331467269972672305526003544166478172598219723837145525554054206267164762669395346506517874266286729478942087=82298248236681459509771126237537877071792827*53547420578512255260388013930132603934140904365055973336237325410506351004014063926808228677667625381

cado polynomial
n: 4406858911204386709964550866481872130331467269972672305526003544166478172598219723837145525554054206267164762669395346506517874266286729478942087
skew: 1.36
type: snfs
c0: -80
c5: 17
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80
# 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: 53547420578512255260388013930132603934140904365055973336237325410506351004014063926808228677667625381 82298248236681459509771126237537877071792827
Info:Square Root: Total cpu/real time for sqrt: 424.62/136.1
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23606865
Info:Lattice Sieving: Average J: 1894.6 for 1405397 special-q, max bucket fill -bkmult 1.0,1s:1.147670
Info:Lattice Sieving: Total time: 233916s
Info:Square Root: Total cpu/real time for sqrt: 424.62/136.1
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 353.83/312.612
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 254.39999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 60.66/24.3565
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.26/116.402
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.7s
Info:Filtering - Merging: Merged matrix has 1682045 rows and total weight 286623033 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 434.96/121.052
Info:Filtering - Merging: Total cpu/real time for replay: 65.25/55.4846
Info:Linear Algebra: Total cpu/real time for bwc: 47008.9/12071.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30096.18, WCT time 7692.4, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (52736 iterations)
Info:Linear Algebra: Lingen CPU time 329.61, WCT time 83.67
Info:Linear Algebra: Mksol: CPU time 16278.93,  WCT time 4175.31, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.78/2.06046
Info:Filtering - Singleton removal: Total cpu/real time for purge: 238.54/260.675
Info:Generate Free Relations: Total cpu/real time for freerel: 117.97/31.9166
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 502671/29709.4
Info:root: Cleaning up computation data in /tmp/cado.isw60ls3
53547420578512255260388013930132603934140904365055973336237325410506351004014063926808228677667625381 82298248236681459509771126237537877071792827

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

58178569429315961139033677843095104082161499483432933735516630255642257888633344644876139988480970735645362511269697013314780247432575860628331404461617813030897716705677559<173>

3185115994054047040693293434421619738470723039614140022334869027<64>
18265761604262865278341912089854015874721629390486973590102218229393851850885658183891867823103351322760748317<110>

58178569429315961139033677843095104082161499483432933735516630255642257888633344644876139988480970735645362511269697013314780247432575860628331404461617813030897716705677559=3185115994054047040693293434421619738470723039614140022334869027*18265761604262865278341912089854015874721629390486973590102218229393851850885658183891867823103351322760748317

cado polynomial
n: 58178569429315961139033677843095104082161499483432933735516630255642257888633344644876139988480970735645362511269697013314780247432575860628331404461617813030897716705677559
skew: 5.43
type: snfs
c0: -80000
c5: 17
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80000
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
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: 18265761604262865278341912089854015874721629390486973590102218229393851850885658183891867823103351322760748317 3185115994054047040693293434421619738470723039614140022334869027
Info:Square Root: Total cpu/real time for sqrt: 900.28/278.231
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 438.75/442.689
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 357.0999999999999s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25340805
Info:Lattice Sieving: Average J: 1893.97 for 2149412 special-q, max bucket fill -bkmult 1.0,1s:1.134780
Info:Lattice Sieving: Total time: 431420s
Info:Quadratic Characters: Total cpu/real time for characters: 68.39/28.9627
Info:Square Root: Total cpu/real time for sqrt: 900.28/278.231
Info:Generate Free Relations: Total cpu/real time for freerel: 118.75/31.9419
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.29/129.719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 129.0s
Info:Filtering - Merging: Merged matrix has 1962746 rows and total weight 333953087 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 520.14/144.662
Info:Filtering - Merging: Total cpu/real time for replay: 75.07/64.2201
Info:Linear Algebra: Total cpu/real time for bwc: 64650.4/16592.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 41454.34, WCT time 10589.12, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61440 iterations)
Info:Linear Algebra: Lingen CPU time 396.01, WCT time 100.66
Info:Linear Algebra: Mksol: CPU time 22426.67,  WCT time 5747.86, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/2.33348
Info:Filtering - Singleton removal: Total cpu/real time for purge: 328.34/371.458
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 902289/46780.4
Info:root: Cleaning up computation data in /tmp/cado.6c3lvq47
18265761604262865278341912089854015874721629390486973590102218229393851850885658183891867823103351322760748317 3185115994054047040693293434421619738470723039614140022334869027

cado-nfs-3.0.0

5 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

1793069694421653356272362421283774319064453148322045495664663824851998571752597763632770702743945844956968244020778569027131726605756927795448911310926711<154>

54532937418164658481908742803989067035672094295257323537124143<62>
32880489834468195870765170124622737609194711291954321737594706642250355818838710147747473977<92>

1793069694421653356272362421283774319064453148322045495664663824851998571752597763632770702743945844956968244020778569027131726605756927795448911310926711=54532937418164658481908742803989067035672094295257323537124143*32880489834468195870765170124622737609194711291954321737594706642250355818838710147747473977

cado polynomial
n: 1793069694421653356272362421283774319064453148322045495664663824851998571752597763632770702743945844956968244020778569027131726605756927795448911310926711
skew: 2.16
type: snfs
c0: -800
c5: 17
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-800
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
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: 54532937418164658481908742803989067035672094295257323537124143 32880489834468195870765170124622737609194711291954321737594706642250355818838710147747473977
Info:Square Root: Total cpu/real time for sqrt: 518.85/166.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 461.98/593.865
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 502.10000000000014s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25617436
Info:Lattice Sieving: Average J: 1893.84 for 2227909 special-q, max bucket fill -bkmult 1.0,1s:1.115640
Info:Lattice Sieving: Total time: 472058s
Info:Quadratic Characters: Total cpu/real time for characters: 70.98/31.6421
Info:Square Root: Total cpu/real time for sqrt: 518.85/166.51
Info:Generate Free Relations: Total cpu/real time for freerel: 119.56/32.4456
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.7/148.859
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 147.8s
Info:Filtering - Merging: Merged matrix has 2026265 rows and total weight 346994230 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 535.88/174.071
Info:Filtering - Merging: Total cpu/real time for replay: 78.4/71.0186
Info:Linear Algebra: Total cpu/real time for bwc: 70019/17985
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 44963.69, WCT time 11471.3, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63488 iterations)
Info:Linear Algebra: Lingen CPU time 403.85, WCT time 102.71
Info:Linear Algebra: Mksol: CPU time 24261.91,  WCT time 6237.15, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.63/2.31831
Info:Filtering - Singleton removal: Total cpu/real time for purge: 327/455.467
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 896371/62127
Info:root: Cleaning up computation data in /tmp/cado.00fat36s
54532937418164658481908742803989067035672094295257323537124143 32880489834468195870765170124622737609194711291954321737594706642250355818838710147747473977

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

38653399973227974204550148373748038434486576230743264996298956807617426362346446716087185208838372780517052795390809999446310297176511865791728006692826015645752227<164>

892643894193230443996987288092300342751498003<45>
43302150190768773126412793839941680283372441194314794251632563027518359287708864053628552683554489314807408643943023409<119>

38653399973227974204550148373748038434486576230743264996298956807617426362346446716087185208838372780517052795390809999446310297176511865791728006692826015645752227=892643894193230443996987288092300342751498003*43302150190768773126412793839941680283372441194314794251632563027518359287708864053628552683554489314807408643943023409

cado polynomial
n: 38653399973227974204550148373748038434486576230743264996298956807617426362346446716087185208838372780517052795390809999446310297176511865791728006692826015645752227
skew: 1.36
type: snfs
c0: -80
c5: 17
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
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: 43302150190768773126412793839941680283372441194314794251632563027518359287708864053628552683554489314807408643943023409 892643894193230443996987288092300342751498003
Info:Square Root: Total cpu/real time for sqrt: 505.94/159.637
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25685768
Info:Lattice Sieving: Average J: 1894.21 for 2231281 special-q, max bucket fill -bkmult 1.0,1s:1.121430
Info:Lattice Sieving: Total time: 440031s
Info:Square Root: Total cpu/real time for sqrt: 505.94/159.637
Info:Quadratic Characters: Total cpu/real time for characters: 70.76/29.7665
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 107.37/131.822
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.80000000000004s
Info:Filtering - Merging: Merged matrix has 2040263 rows and total weight 347319322 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 545.53/151.252
Info:Filtering - Merging: Total cpu/real time for replay: 77.9/66.4122
Info:Linear Algebra: Total cpu/real time for bwc: 69719.8/17884.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 44745.78, WCT time 11424.16, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (64000 iterations)
Info:Linear Algebra: Lingen CPU time 410.71, WCT time 104.42
Info:Linear Algebra: Mksol: CPU time 24174.26,  WCT time 6189.52, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 120.04/32.2114
Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/2.30157
Info:Filtering - Singleton removal: Total cpu/real time for purge: 331.18/366.078
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 442.2/379.35
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 296.09999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 918924/50382.7
Info:root: Cleaning up computation data in /tmp/cado.cn252pdl
43302150190768773126412793839941680283372441194314794251632563027518359287708864053628552683554489314807408643943023409 892643894193230443996987288092300342751498003

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

793075288346738011146179767599399672528364468611015162546050871363003550246314204374857836638357632532738199715116690756168140817947881<135>

659739923767919161201578074340638667629258452770223467856243733<63>
1202102919309947755991289913542152252521761677073360103813674734464474757<73>

793075288346738011146179767599399672528364468611015162546050871363003550246314204374857836638357632532738199715116690756168140817947881=659739923767919161201578074340638667629258452770223467856243733*1202102919309947755991289913542152252521761677073360103813674734464474757

cado polynomial
n: 793075288346738011146179767599399672528364468611015162546050871363003550246314204374857836638357632532738199715116690756168140817947881
skew: 0.86
type: snfs
c0: -8
c5: 17
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10800000
tasks.lim1 = 10800000
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: 659739923767919161201578074340638667629258452770223467856243733 1202102919309947755991289913542152252521761677073360103813674734464474757
Info:Square Root: Total cpu/real time for sqrt: 826.25/263.734
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 362.44/355.558
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 294.29999999999995s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23651503
Info:Lattice Sieving: Average J: 1894.18 for 1419501 special-q, max bucket fill -bkmult 1.0,1s:1.111240
Info:Lattice Sieving: Total time: 282085s
Info:Quadratic Characters: Total cpu/real time for characters: 63.24/26.6716
Info:Square Root: Total cpu/real time for sqrt: 826.25/263.734
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 97.68/114.129
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.49999999999999s
Info:Filtering - Merging: Merged matrix has 1772750 rows and total weight 301818465 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 474.62/131.912
Info:Filtering - Merging: Total cpu/real time for replay: 69.2/59.3752
Info:Linear Algebra: Total cpu/real time for bwc: 51490.4/13219.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32979.0, WCT time 8423.99, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55552 iterations)
Info:Linear Algebra: Lingen CPU time 348.5, WCT time 88.52
Info:Linear Algebra: Mksol: CPU time 17834.54,  WCT time 4576.46, 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: 118.8/32.2497
Info:Generate Factor Base: Total cpu/real time for makefb: 4.6/2.31771
Info:Filtering - Singleton removal: Total cpu/real time for purge: 249.49/290.277
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 595339/40664.8
Info:root: Cleaning up computation data in /tmp/cado.jawvz6m6
659739923767919161201578074340638667629258452770223467856243733 1202102919309947755991289913542152252521761677073360103813674734464474757

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

1207452978793567454915514309617352464617537903915516337324583781508814563730567651756900761447223695752768130336618415053316328751183459<136>

1237863230958047236349281467068929927583<40>
975433269682835887008882255888819335830675245505814179051932239613795819589790044838912739165373<96>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2637966015
Step 1 took 5938ms
Step 2 took 3406ms
********** Factor found in step 2: 1237863230958047236349281467068929927583
Found prime factor of 40 digits: 1237863230958047236349281467068929927583
Prime cofactor 975433269682835887008882255888819335830675245505814179051932239613795819589790044838912739165373 has 96 digits
 

GMP-ECM

185675020093077598156196263980182343391434123645445891237019051951034873088987888956854159719455887172788147672699344744488431413266459462448295327862922664919744694415079933441644099<183>

5094586404360006107391432945774493734304472154088473056177692585209413984883545020591<85>
36445553251226588952066578091380397715951254449725645851359252771711146675338456589942049055676589<98>

185675020093077598156196263980182343391434123645445891237019051951034873088987888956854159719455887172788147672699344744488431413266459462448295327862922664919744694415079933441644099=5094586404360006107391432945774493734304472154088473056177692585209413984883545020591*36445553251226588952066578091380397715951254449725645851359252771711146675338456589942049055676589

cado polynomial
n: 185675020093077598156196263980182343391434123645445891237019051951034873088987888956854159719455887172788147672699344744488431413266459462448295327862922664919744694415079933441644099
skew: 0.86
type: snfs
c0: -8
c5: 17
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-8
# 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: 36445553251226588952066578091380397715951254449725645851359252771711146675338456589942049055676589 5094586404360006107391432945774493734304472154088473056177692585209413984883545020591
Info:Square Root: Total cpu/real time for sqrt: 1963.13/599.959
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27178663
Info:Lattice Sieving: Average J: 1893.55 for 2236965 special-q, max bucket fill -bkmult 1.0,1s:1.128750
Info:Lattice Sieving: Total time: 516124s
Info:Square Root: Total cpu/real time for sqrt: 1963.13/599.959
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 114.24/135.179
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.2s
Info:Filtering - Merging: Merged matrix has 2208053 rows and total weight 378069520 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 612/169.447
Info:Filtering - Merging: Total cpu/real time for replay: 86.2/74.2647
Info:Linear Algebra: Total cpu/real time for bwc: 83497.8/21377
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 53354.99, WCT time 13614.91, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (69120 iterations)
Info:Linear Algebra: Lingen CPU time 487.05, WCT time 123.43
Info:Linear Algebra: Mksol: CPU time 28894.4,  WCT time 7383.62, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34816 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.51/2.56541
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 507.98/467.213
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 363.8s
Info:Quadratic Characters: Total cpu/real time for characters: 77.05/34.0411
Info:Filtering - Singleton removal: Total cpu/real time for purge: 408.33/395.632
Info:Generate Free Relations: Total cpu/real time for freerel: 117.98/32.3447
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.09283e+06/42742.9
Info:root: Cleaning up computation data in /tmp/cado.idjgbuxz
36445553251226588952066578091380397715951254449725645851359252771711146675338456589942049055676589 5094586404360006107391432945774493734304472154088473056177692585209413984883545020591

cado-nfs-3.0.0

6 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

12699359010983731429363378532208708022258634151106534040121319870581377659480350117834884175007078582039698782666647499888865631948237664029083447023788603549<158>

67886227264672007006280161639744546643696955479019<50>
187068268817944430379489046627288549689232530996101647897613252047313064120422143424493017199730369508862871<108>

12699359010983731429363378532208708022258634151106534040121319870581377659480350117834884175007078582039698782666647499888865631948237664029083447023788603549=67886227264672007006280161639744546643696955479019*187068268817944430379489046627288549689232530996101647897613252047313064120422143424493017199730369508862871

cado polynomial
n: 12699359010983731429363378532208708022258634151106534040121319870581377659480350117834884175007078582039698782666647499888865631948237664029083447023788603549
skew: 1.29
type: snfs
c0: -80
c6: 17
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^6-80
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
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: 67886227264672007006280161639744546643696955479019 187068268817944430379489046627288549689232530996101647897613252047313064120422143424493017199730369508862871
Info:Square Root: Total cpu/real time for sqrt: 729.73/223.971
Info:Quadratic Characters: Total cpu/real time for characters: 88.52/38.4835
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.53/143.78
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 142.6s
Info:Filtering - Merging: Merged matrix has 2543154 rows and total weight 435366785 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 708.44/196.38
Info:Filtering - Merging: Total cpu/real time for replay: 100.71/87.6183
Info:Linear Algebra: Total cpu/real time for bwc: 114033/29206.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 73201.52, WCT time 18690.75, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (79872 iterations)
Info:Linear Algebra: Lingen CPU time 536.96, WCT time 136.18
Info:Linear Algebra: Mksol: CPU time 39378.69,  WCT time 10060.51, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.34/3.74093
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28131394
Info:Lattice Sieving: Average J: 1895.04 for 3317232 special-q, max bucket fill -bkmult 1.0,1s:1.172980
Info:Lattice Sieving: Total time: 696237s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.05/477.557
Info:Square Root: Total cpu/real time for sqrt: 729.73/223.971
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 539.01/524.852
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 426.2s
Info:Generate Free Relations: Total cpu/real time for freerel: 184.81/47.5448
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.45544e+06/175048
Info:root: Cleaning up computation data in /tmp/cado.0khqhkbr
67886227264672007006280161639744546643696955479019 187068268817944430379489046627288549689232530996101647897613252047313064120422143424493017199730369508862871

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

32620791599416931942394060477157502725938116555995311699852274698391944180713209408461164346899420390185092524081956303193833081952429895443436885103400839162047782837<167>

5145978501973607698081971605415334271199125993952778613562515277072723793493<76>
6339084313489857437705930499930887216535876426012053917509543489537706775847263758105379809<91>

32620791599416931942394060477157502725938116555995311699852274698391944180713209408461164346899420390185092524081956303193833081952429895443436885103400839162047782837=5145978501973607698081971605415334271199125993952778613562515277072723793493*6339084313489857437705930499930887216535876426012053917509543489537706775847263758105379809

cado polynomial
n: 32620791599416931942394060477157502725938116555995311699852274698391944180713209408461164346899420390185092524081956303193833081952429895443436885103400839162047782837
skew: 0.88
type: snfs
c0: -8
c6: 17
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^6-8
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
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: 5145978501973607698081971605415334271199125993952778613562515277072723793493 6339084313489857437705930499930887216535876426012053917509543489537706775847263758105379809
Info:Square Root: Total cpu/real time for sqrt: 787.86/240.813
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 555.59/569.903
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 469.10000000000014s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29469966
Info:Lattice Sieving: Average J: 1894.89 for 4178082 special-q, max bucket fill -bkmult 1.0,1s:1.169730
Info:Lattice Sieving: Total time: 886923s
Info:Quadratic Characters: Total cpu/real time for characters: 95.44/42.3562
Info:Square Root: Total cpu/real time for sqrt: 787.86/240.813
Info:Generate Free Relations: Total cpu/real time for freerel: 181.87/46.8109
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.98/149.934
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.09999999999997s
Info:Filtering - Merging: Merged matrix has 2759592 rows and total weight 469521154 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 763.92/211.479
Info:Filtering - Merging: Total cpu/real time for replay: 109.69/95.8133
Info:Linear Algebra: Total cpu/real time for bwc: 135645/34735.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 86872.96, WCT time 22171.05, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (86528 iterations)
Info:Linear Algebra: Lingen CPU time 589.31, WCT time 149.56
Info:Linear Algebra: Mksol: CPU time 47161.76,  WCT time 12048.22, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43520 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 9.48/3.82273
Info:Filtering - Singleton removal: Total cpu/real time for purge: 438.57/508.609
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.84573e+06/153512
Info:root: Cleaning up computation data in /tmp/cado.n4ewikob
5145978501973607698081971605415334271199125993952778613562515277072723793493 6339084313489857437705930499930887216535876426012053917509543489537706775847263758105379809

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

92754208344542059119409286037351139479024166177717670197975229047141249026809073305619202257586126405516336398424404443997367749324834453937960664025481072839412995449304934991<176>

362028682137460360828601613520035409<36>

256206794989032887271283289036451393048344535985326139525342518582226714880516945437372540427552992824404047504643775281489320530362646525599<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:617912000
Step 1 took 8344ms
Step 2 took 4172ms
********** Factor found in step 2: 362028682137460360828601613520035409
Found prime factor of 36 digits: 362028682137460360828601613520035409
Composite cofactor 256206794989032887271283289036451393048344535985326139525342518582226714880516945437372540427552992824404047504643775281489320530362646525599 has 141 digits
 

GMP-ECM

256206794989032887271283289036451393048344535985326139525342518582226714880516945437372540427552992824404047504643775281489320530362646525599<141>

2263549830652905951733002792681448691097990668032539551<55>
113188051581409954968262664913228493454002858280540154643613621159511924637801176507649<87>

256206794989032887271283289036451393048344535985326139525342518582226714880516945437372540427552992824404047504643775281489320530362646525599=2263549830652905951733002792681448691097990668032539551*113188051581409954968262664913228493454002858280540154643613621159511924637801176507649

cado polynomial
n: 256206794989032887271283289036451393048344535985326139525342518582226714880516945437372540427552992824404047504643775281489320530362646525599
skew: 1.36
type: snfs
c0: -80
c5: 17
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 17*x^5-80
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15800000
tasks.lim1 = 15800000
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: 2263549830652905951733002792681448691097990668032539551 113188051581409954968262664913228493454002858280540154643613621159511924637801176507649
Info:Square Root: Total cpu/real time for sqrt: 936.4/300.275
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 873.03/717.548
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 555.7s
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48074112
Info:Lattice Sieving: Average J: 1894.13 for 4318186 special-q, max bucket fill -bkmult 1.0,1s:1.139830
Info:Lattice Sieving: Total time: 1.10626e+06s
Info:Quadratic Characters: Total cpu/real time for characters: 123.38/51.7656
Info:Square Root: Total cpu/real time for sqrt: 936.4/300.275
Info:Generate Free Relations: Total cpu/real time for freerel: 235.38/60.846
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 205.95/249.228
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 248.29999999999998s
Info:Filtering - Merging: Merged matrix has 3405082 rows and total weight 582661185 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 982.97/270.474
Info:Filtering - Merging: Total cpu/real time for replay: 139.95/122.577
Info:Linear Algebra: Total cpu/real time for bwc: 214779/54971.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 138258.03, WCT time 35268.97, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (106496 iterations)
Info:Linear Algebra: Lingen CPU time 749.81, WCT time 190.13
Info:Linear Algebra: Mksol: CPU time 74421.51,  WCT time 19007.02, iteration CPU time 0.34, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53248 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.65/2.87237
Info:Filtering - Singleton removal: Total cpu/real time for purge: 633.1/692.264
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.36806e+06/148963
Info:root: Cleaning up computation data in /tmp/cado.khq0ctu7
2263549830652905951733002792681448691097990668032539551 113188051581409954968262664913228493454002858280540154643613621159511924637801176507649

cado-nfs-3.0.0

4 x Linux Ubuntu 20.04.1 LTS [5.4.0-72-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)

152621888075523394985113803293704022265684770266362635534260686764696876077234463750940913042209789521122079626048018863714874457605241728288508108841492919269820602939469841017499574693073379<192>

13381329896140028406006265759025417103999202337801093665694668370237<68>
11405584441913253102279156770283114325465789319188374333822228058722425612409627505051240862526176953304388151921092169777567<125>

Number: n
N=152621888075523394985113803293704022265684770266362635534260686764696876077234463750940913042209789521122079626048018863714874457605241728288508108841492919269820602939469841017499574693073379
  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu May 13 21:34:00 2021  p68 factor: 13381329896140028406006265759025417103999202337801093665694668370237
Thu May 13 21:34:00 2021  p125 factor: 11405584441913253102279156770283114325465789319188374333822228058722425612409627505051240862526176953304388151921092169777567
Thu May 13 21:34:00 2021  elapsed time 01:18:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 17x10^200-8 = 18(200)
#
n: 152621888075523394985113803293704022265684770266362635534260686764696876077234463750940913042209789521122079626048018863714874457605241728288508108841492919269820602939469841017499574693073379
m: 10000000000000000000000000000000000000000
deg: 5
c5: 17
c0: -8
skew: 0.86
# Murphy_E = 1.814e-11
type: snfs
lss: 1
rlim: 15800000
alim: 15800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 15800000/15800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7162233 hash collisions in 59417557 relations (54934578 unique)
Msieve: matrix is 1729940 x 1730173 (597.9 MB)

Sieving start time : 2021/05/13 14:02:32
Sieving end time  : 2021/05/13 20:14:09

Total sieving time: 6hrs 11min 37secs.

Total relation processing time: 0hrs 58min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 58sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15800000,15800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

1716103196462549679887165859629108279332707996671569617037024183817389786700427374616667880968640875786788061569755081726928416552764414528120415593147<151>

2547405266528559931591906541593911317984548909493045781941<58>
673667130633338428296980890432898473314304136719322538966804150761659893302679751597988949167<93>

1716103196462549679887165859629108279332707996671569617037024183817389786700427374616667880968640875786788061569755081726928416552764414528120415593147=2547405266528559931591906541593911317984548909493045781941*673667130633338428296980890432898473314304136719322538966804150761659893302679751597988949167

cado polynomial
n: 1716103196462549679887165859629108279332707996671569617037024183817389786700427374616667880968640875786788061569755081726928416552764414528120415593147
skew: 0.54
type: snfs
c0: -4
c5: 85
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 85*x^5-4
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 16200000
tasks.lim1 = 16200000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 673667130633338428296980890432898473314304136719322538966804150761659893302679751597988949167 2547405266528559931591906541593911317984548909493045781941
Info:Square Root: Total cpu/real time for sqrt: 999.24/328.056
Info:Square Root: Total cpu/real time for sqrt: 999.24/328.056
Info:Generate Factor Base: Total cpu/real time for makefb: 6.78/2.91459
Info:Filtering - Merging: Merged matrix has 3479184 rows and total weight 592272282 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 997.33/274.766
Info:Filtering - Merging: Total cpu/real time for replay: 139.36/127.167
Info:Filtering - Singleton removal: Total cpu/real time for purge: 641.87/751.375
Info:Quadratic Characters: Total cpu/real time for characters: 126.13/53.8322
Info:Linear Algebra: Total cpu/real time for bwc: 225625/57775.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 145412.34, WCT time 37093.64, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (109056 iterations)
Info:Linear Algebra: Lingen CPU time 760.62, WCT time 193.04
Info:Linear Algebra: Mksol: CPU time 78055.92,  WCT time 19957.95, iteration CPU time 0.35, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (54784 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48282956
Info:Lattice Sieving: Average J: 1894.54 for 4383505 special-q, max bucket fill -bkmult 1.0,1s:1.145990
Info:Lattice Sieving: Total time: 1.18649e+06s
Info:Generate Free Relations: Total cpu/real time for freerel: 238.95/62.1131
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 887.6/894.148
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 726.0s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 204.93/240.992
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 240.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.47093e+06/328.881
673667130633338428296980890432898473314304136719322538966804150761659893302679751597988949167 2547405266528559931591906541593911317984548909493045781941

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)

3901303546195696141687088988752869873849944635523489114648909932672651275515441144559580131988328067609374197489159221746750203323728811906490552452209201327204132073337<169>

81493453439840646544840990146632427980415562965624239<53>
47872600577366387358200775895077822620870099393162316311815664734859763009074525364034703494038119909848315717578583<116>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 3901303546195696141687088988752869873849944635523489114648909932672651275515441144559580131988328067609374197489159221746750203323728811906490552452209201327204132073337 (169 digits)
Using B1=26340000, B2=144285831706, polynomial Dickson(12), sigma=1:2805308160
Step 1 took 57337ms
Step 2 took 23694ms
********** Factor found in step 2: 81493453439840646544840990146632427980415562965624239
Found prime factor of 53 digits: 81493453439840646544840990146632427980415562965624239
Prime cofactor 47872600577366387358200775895077822620870099393162316311815664734859763009074525364034703494038119909848315717578583 has 116 digits

2938737769845245138288316373774001275688240101171264348516532440629953965854020016788969273791534656200013851005080128424358556705333739135575044817301489277123882062368372900240123226253225043<193>

172756587787292227109479140434296228914448114610743841917<57>
17010857921456441601627319011820905254037803980046996321141959689893519694634288108055601769242720625088959233299108632508039103593540879<137>

Number: n
N=2938737769845245138288316373774001275688240101171264348516532440629953965854020016788969273791534656200013851005080128424358556705333739135575044817301489277123882062368372900240123226253225043
  ( 193 digits)
SNFS difficulty: 206 digits.
Divisors found:

Thu Jul  8 19:10:04 2021  p57 factor: 172756587787292227109479140434296228914448114610743841917
Thu Jul  8 19:10:04 2021  p137 factor: 17010857921456441601627319011820905254037803980046996321141959689893519694634288108055601769242720625088959233299108632508039103593540879
Thu Jul  8 19:10:04 2021  elapsed time 02:14:12 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 17x10^206-8 = 18(206)
#
n: 2938737769845245138288316373774001275688240101171264348516532440629953965854020016788969273791534656200013851005080128424358556705333739135575044817301489277123882062368372900240123226253225043
m: 100000000000000000000000000000000000000000
deg: 5
c5: 85
c0: -4
skew: 0.54
# Murphy_E = 7.777e-12
type: snfs
lss: 1
rlim: 19700000
alim: 19700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19700000/19700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 37050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8791080 hash collisions in 59712634 relations (53127041 unique)
Msieve: matrix is 2313039 x 2313265 (805.6 MB)

Sieving start time : 2021/07/08 04:32:40
Sieving end time  : 2021/07/08 16:54:21

Total sieving time: 12hrs 21min 41secs.

Total relation processing time: 1hrs 52min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 5sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19700000,19700000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

2111696466415424871634716912783796713919467471053488409922144414505159752436313154974520831899056671600056669784494578424032818199737383067503690676507422622519975597692754279609522420247576943330137<199>

78632412472883537585735471878665823223944667<44>
813794609107700705491249331742320211288427509885582220200213745699421<69>
33000086968255539486570692912985120861359047522066991549630956328341923395320604087191<86>

#
# N = 17x10^207-8 = 18(207)
#
n: 2111696466415424871634716912783796713919467471053488409922144414505159752436313154974520831899056671600056669784494578424032818199737383067503690676507422622519975597692754279609522420247576943330137
m: 100000000000000000000000000000000000000000
deg: 5
c5: 425
c0: -2
skew: 0.34
# Murphy_E = 6.805e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6



GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 2111696466415424871634716912783796713919467471053488409922144414505159752436313154974520831899056671600056669784494578424032818199737383067503690676507422622519975597692754279609522420247
576943330137 (199 digits)
Using B1=49350000, B2=240496876636, polynomial Dickson(12), sigma=1:3920724406
Step 1 took 158312ms
Step 2 took 44350ms
********** Factor found in step 2: 78632412472883537585735471878665823223944667
Found prime factor of 44 digits: 78632412472883537585735471878665823223944667
Composite cofactor 26855292874851644816311562683434782653888302119673470815584046765752832979419484889320412405811388193277150104995903481105896346100169367057348871562216411 has 155 digits



Number: n
N=2111696466415424871634716912783796713919467471053488409922144414505159752436313154974520831899056671600056669784494578424032818199737383067503690676507422622519975597692754279609522420247576943330137
  ( 199 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Apr 28 06:04:19 2021  found factor: 78632412472883537585735471878665823223944667
Wed Apr 28 06:07:57 2021  found factor: 78632412472883537585735471878665823223944667
Wed Apr 28 06:22:26 2021  p44 factor: 78632412472883537585735471878665823223944667
Wed Apr 28 06:22:26 2021  p69 factor: 813794609107700705491249331742320211288427509885582220200213745699421
Wed Apr 28 06:22:26 2021  p86 factor: 33000086968255539486570692912985120861359047522066991549630956328341923395320604087191
Wed Apr 28 06:22:26 2021  elapsed time 03:19:25 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 17x10^207-8 = 18(207)
#
n: 2111696466415424871634716912783796713919467471053488409922144414505159752436313154974520831899056671600056669784494578424032818199737383067503690676507422622519975597692754279609522420247576943330137
m: 100000000000000000000000000000000000000000
deg: 5
c5: 425
c0: -2
skew: 0.34
# Murphy_E = 6.805e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 58800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7215020 hash collisions in 53166771 relations (47950526 unique)
Msieve: matrix is 2743683 x 2743909 (959.0 MB)

Sieving start time : 2021/04/27 05:35:02
Sieving end time  : 2021/04/28 03:01:57

Total sieving time: 21hrs 26min 55secs.

Total relation processing time: 2hrs 39min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 21min 47sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

2672450019646593034467786783325276907024612166410885047883574871392769324957898967218028343073688446331598257910380464789918473118780801027710115521734533230759339072528258283307219816206100239031517<199>

16868634778076095820662431297819250519428181419620026573692588948641181915191042109998830057<92>
158427167035469584293645950341782869384893175338535612103700256445621528645107087160747706760356317181101781<108>

Number: n
N=2672450019646593034467786783325276907024612166410885047883574871392769324957898967218028343073688446331598257910380464789918473118780801027710115521734533230759339072528258283307219816206100239031517
  ( 199 digits)
SNFS difficulty: 210 digits.
Divisors found:

Thu Apr 29 00:16:37 2021  p92 factor: 16868634778076095820662431297819250519428181419620026573692588948641181915191042109998830057
Thu Apr 29 00:16:37 2021  p108 factor: 158427167035469584293645950341782869384893175338535612103700256445621528645107087160747706760356317181101781
Thu Apr 29 00:16:37 2021  elapsed time 02:53:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 17x10^209-8 = 18(209)
#
n: 2672450019646593034467786783325276907024612166410885047883574871392769324957898967218028343073688446331598257910380464789918473118780801027710115521734533230759339072528258283307219816206100239031517
m: 50000000000000000000000000000000000
deg: 6
c6: 68
c0: -5
skew: 0.65
# Murphy_E = 6.671e-12
type: snfs
lss: 1
rlim: 22000000
alim: 22000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 22000000/22000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 38200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7214791 hash collisions in 54740672 relations (48939324 unique)
Msieve: matrix is 2680990 x 2681215 (940.9 MB)

Sieving start time : 2021/04/28 06:24:13
Sieving end time  : 2021/04/28 20:39:17

Total sieving time: 14hrs 15min 4secs.

Total relation processing time: 2hrs 30min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 19sec.

Prototype def-par.txt line would be:
snfs,210,6,0,0,0,0,0,0,0,0,22000000,22000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

185318738879049571092393404158555773785731447720138534069385857016496148271673195959789770075338341640416930580812686749013490597834551501804948984187251966516720289744362001<174>

805569656874933810837762882904823599183<39>

230046821274228617523571191742898015064383917760252483263746724350106946545646949487405458220181086542264685829925324159207472304338847<135>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3249004099
Step 1 took 17522ms
Step 2 took 7286ms
********** Factor found in step 2: 805569656874933810837762882904823599183
Found prime factor of 39 digits: 805569656874933810837762882904823599183
Composite cofactor 230046821274228617523571191742898015064383917760252483263746724350106946545646949487405458220181086542264685829925324159207472304338847 has 135 digits

230046821274228617523571191742898015064383917760252483263746724350106946545646949487405458220181086542264685829925324159207472304338847<135>

295263413313114493466342956339995171269308586002177964437<57>
779124032649021742132399916640031379836304291810803602488988047593956614104931<78>

230046821274228617523571191742898015064383917760252483263746724350106946545646949487405458220181086542264685829925324159207472304338847=295263413313114493466342956339995171269308586002177964437*779124032649021742132399916640031379836304291810803602488988047593956614104931

cado polynomial
n: 230046821274228617523571191742898015064383917760252483263746724350106946545646949487405458220181086542264685829925324159207472304338847
skew: 292681.905
c0: 341256835044739225433303583232824
c1: -5604206163812584220053470190
c2: -11890619736528779087221
c3: 27769082554237901
c4: 141020802828
c5: 247680
Y0: -80689962907293123775806031
Y1: 11886758671003095413
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.348e-07
# f(x) = 247680*x^5+141020802828*x^4+27769082554237901*x^3-11890619736528779087221*x^2-5604206163812584220053470190*x+341256835044739225433303583232824
# g(x) = 11886758671003095413*x-80689962907293123775806031

cado log (extracts)
Info:Square Root: Factors: 295263413313114493466342956339995171269308586002177964437 779124032649021742132399916640031379836304291810803602488988047593956614104931
Info:Square Root: Total cpu/real time for sqrt: 1520.74/675.708
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17019752
Info:Lattice Sieving: Average J: 3815.67 for 545951 special-q, max bucket fill -bkmult 1.0,1s:1.227200
Info:Lattice Sieving: Total time: 182872s
Info:Square Root: Total cpu/real time for sqrt: 1520.74/675.708
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6654.5
Info:Polynomial Selection (root optimized): Rootsieve time: 6652.04
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.66/86.9697
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 86.8s
Info:Filtering - Merging: Merged matrix has 1217083 rows and total weight 207688535 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 314.96/88.1247
Info:Filtering - Merging: Total cpu/real time for replay: 44.34/39.9266
Info:Linear Algebra: Total cpu/real time for bwc: 24997.7/10761.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14420.69, WCT time 5682.39, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (38144 iterations)
Info:Linear Algebra: Lingen CPU time 2540.62, WCT time 1220.31
Info:Linear Algebra: Mksol: CPU time 7831.26,  WCT time 3783.24, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (19200 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 53996/40.230/48.283/55.800/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44049/39.080/43.134/48.970/1.083
Info:Polynomial Selection (size optimized): Total time: 11158.6
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 200.95/169.021
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 156.1s
Info:Quadratic Characters: Total cpu/real time for characters: 40.75/24.2079
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.03894
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.69/61.1503
Info:Generate Free Relations: Total cpu/real time for freerel: 247.25/62.7626
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 395777/48524.1
Info:root: Cleaning up computation data in /tmp/cado.37oen_kn
295263413313114493466342956339995171269308586002177964437 779124032649021742132399916640031379836304291810803602488988047593956614104931

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

133802423205289323474436402061119576668281593785557762371628954562368273840480914680325656297064842672351426929453596746621615481<129>

294558145392337956725407225779414068187023<42>
1507398114059946690881131100207506536804071<43>
301345683090298908461446928048231325278351857<45>

04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, Starting factorization of 133802423205289323474436402061119576668281593785557762371628954562368273840480914680325656297064842672351426929453596746621615481
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, using pretesting plan: custom
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, custom pretest ratio is: 0.5000
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, no tune info: using qs/gnfs crossover of 95 digits
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, input indicated to have been pretested to t50.50
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, ****************************
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 3, starting 1000 iterations on C129
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 2, starting 1000 iterations on C129
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, rho: x^2 + 1, starting 1000 iterations on C129
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, current ECM pretesting depth: 50.78
04/25/21 14:03:37 v1.34.5 @ DESKTOP-RJPVCOL, scheduled 17768 curves at B1=110000000 toward target pretesting depth of 64.50
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 294558145392337956725407225779414068187023 (curve 11 stg2 B1=110000000 sigma=923329937 thread=0)
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, Finished 88 curves using Lenstra ECM method on C129 input, B1=110M, B2=gmp-ecm default
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, final ECM pretested depth: 50.80
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, scheduler: switching to sieve method
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c87: 454247914370422942823621185008012012327826808325222816392109124063322139583127008009847
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 2049687366, 1694824874
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, n = 89 digits, 294 bits
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 65248 primes (max prime = 1732811)
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 190609210 (110 * pmax)
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, double large prime range from 29 to 32 bits
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, double large prime cutoff: 802156277385111
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, allocating 8 large prime slices of factor base
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 14 blocks of size 32768
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 11 factors
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 47
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 20 bits, starting at offset 37
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 94 bits
04/25/21 14:44:18 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 20357905 sieve locations out of 282714177536
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, squfof: 0 failures, 520765 attempts, 4824203 outside range, 2726682 prp, 488832 useful
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, 67131 relations found: 20712 full + 46419 from 743735 partial, using 308134 polys (601 A polys)
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.48 rels/poly and 8300.72 rels/sec
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 20357905 sieve locations out of 282714177536
04/25/21 14:45:50 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, begin with 764447 relations
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 149982 relations in 10 passes
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, failed to read relation 31387
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, recovered 149981 relations
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, recovered 118806 polynomials
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 67130 cycles
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, found 67130 cycles in 5 passes
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 20712
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 15546
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 3 : 12397
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 4 : 8031
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 5 : 4913
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 6 : 2734
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 7 : 1417
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL,    length 9+: 1380
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 16 relations
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 65248 x 67130 (15.6 MB) with weight 3563553 (53.08/col)
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 3563553 (53.08/col)
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 57989 x 58053 (13.4 MB) with weight 3035951 (52.30/col)
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 3035951 (52.30/col)
04/25/21 14:45:52 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 57941 x 58053 (11.5 MB) with weight 2636753 (45.42/col)
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 2439594 (42.02/col)
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, using block size 23221 for processor cache size 12288 kB
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
04/25/21 14:45:53 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 9.4 MB
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 918 iterations (dim = 57938)
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, recovered 15 nontrivial dependencies
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, prp45 = 301345683090298908461446928048231325278351857
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, prp43 = 1507398114059946690881131100207506536804071
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 6.7950 seconds.
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.0500 seconds.
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 98.9398 seconds.
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, 
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, 
04/25/21 14:45:57 v1.34.5 @ DESKTOP-RJPVCOL, Total factoring time = 2539.8321 seconds

465816815812827702600003349054463125954228394804535137965290385843946369170254685819254750589531944196103137725314054914842434530580734197599594457370885533801058775514940592572498703199931<189>

2927288341511833883508870270916050576021762782188400525539<58>
725195038034943039650014273638627743311586531415447802043171<60>
219429410000158257472036881515713390372026789390466556280651527554068899<72>

Number: 18888_216
N = 465816815812827702600003349054463125954228394804535137965290385843946369170254685819254750589531944196103137725314054914842434530580734197599594457370885533801058775514940592572498703199931 (189 digits)
SNFS difficulty: 218 digits.
Divisors found:
r1=2927288341511833883508870270916050576021762782188400525539 (pp58)
r2=725195038034943039650014273638627743311586531415447802043171 (pp60)
r3=219429410000158257472036881515713390372026789390466556280651527554068899 (pp72)
Version: Msieve v. 1.54 (SVN 1018)
Total time: 114.99 hours.
Factorization parameters were as follows:
n: 465816815812827702600003349054463125954228394804535137965290385843946369170254685819254750589531944196103137725314054914842434530580734197599594457370885533801058775514940592572498703199931
m: 1000000000000000000000000000000000000
deg: 6
c6: 17
c0: -8
skew: 0.88
# Murphy_E = 3.328e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 51850426
Relations: 6158636 relations
Pruned matrix : 4285051 x 4285276
Total sieving time: 110.66 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 3.76 hours.
time per square root: 0.36 hours.
Prototype def-par.txt line would be: snfs,218,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 114.99 hours.
Intel64 Family 6 Model 158 Stepping 12, GenuineIntel
processors: 16, speed: 3.60GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

561474058361415010628669490733680942635323511966092138393868159586829992398171318152430572315741531793675212234708005473498966102239359165691892360084421989095345660395492542637683750066810449031686897<201>

6872346822221035900273927503652754752100323597<46>
81700483530014176967682382868870614210583243452428523598299997719904138006925639775841006422532199372002869903885518014392019633706137048750147882109558901<155>

Number: 18888_221
N = 561474058361415010628669490733680942635323511966092138393868159586829992398171318152430572315741531793675212234708005473498966102239359165691892360084421989095345660395492542637683750066810449031686897 (201 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=6872346822221035900273927503652754752100323597 (pp46)
r2=81700483530014176967682382868870614210583243452428523598299997719904138006925639775841006422532199372002869903885518014392019633706137048750147882109558901 (pp155)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 32.54 hours.
Factorization parameters were as follows:
n: 561474058361415010628669490733680942635323511966092138393868159586829992398171318152430572315741531793675212234708005473498966102239359165691892360084421989095345660395492542637683750066810449031686897
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 85
c0: -4
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: 31663016
Relations: 7383442 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.35 hours.
Total relation processing time: 0.36 hours.
Pruned matrix : 6437763 x 6437988
Matrix solve time: 16.71 hours.
time per square root: 0.12 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: 32.54 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

36697163816895033991072976882065081637279817491885825708585828774170204075775457036272953527766734346749583681528972899219360273384176870293477539358129446687939998260250308544962930918671541296104846132587<206>

50897612890020169540937037896176585743403516807492790239<56>
720999703781598936162445274267611035922576463484003394246050724571729920713383157946540719062554001274296564044602652257493183209395865484844314297333<150>

Number: 18888_222
N = 36697163816895033991072976882065081637279817491885825708585828774170204075775457036272953527766734346749583681528972899219360273384176870293477539358129446687939998260250308544962930918671541296104846132587 (206 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=50897612890020169540937037896176585743403516807492790239 (pp56)
r2=720999703781598936162445274267611035922576463484003394246050724571729920713383157946540719062554001274296564044602652257493183209395865484844314297333 (pp150)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 44.60 hours.
Factorization parameters were as follows:
n: 36697163816895033991072976882065081637279817491885825708585828774170204075775457036272953527766734346749583681528972899219360273384176870293477539358129446687939998260250308544962930918671541296104846132587
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 425
c0: -2
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: 31253765
Relations: 8577530 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.84 hours.
Total relation processing time: 0.37 hours.
Pruned matrix : 7314987 x 7315212
Matrix solve time: 32.47 hours.
time per square root: 0.91 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: 44.60 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

336037462373489999849297081580265425949938767648944493679862755026143951775572138569451677156649295032147083138688574980877096361802253196811353961036448331030013964768124583778069031329871657251529512067121087359667<216>

26412762407970816910773358727144903964881937206150155804402956054524781590761061992481860455874887763223492576412330497017488461813396972578039<143>

38015107349022271584453164462842883673707<41>
694796470399816960214500238181005629170397188255891665851529832272335118765094750078474890718106291877<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2096390242
Step 1 took 5907ms
Step 2 took 3343ms
********** Factor found in step 2: 38015107349022271584453164462842883673707
Found prime factor of 41 digits: 38015107349022271584453164462842883673707
Prime cofactor 694796470399816960214500238181005629170397188255891665851529832272335118765094750078474890718106291877 has 102 digits

GMP-ECM

7906262637928761864013361376972700989665939678575429801695560744690914884145192751074105589844364435772530875807613841581743639939261878272061616879895024472811537387099616784759686708416536373754097039771005687<211>

30104734677367839663492666930726872339<38>
262625222333300881215588769592740762315796742968954979782609957139994210547289860485640828257177901303010166779121247164484640233158974405340259637138208207616444298546891533<174>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 7906262637928761864013361376972700989665939678575429801695560744690914884145192751074105589844364435772530875807613841581743639939261878272061616879895024472811537387099616784759686708416536373754097039771005687 (211 digits)
Using B1=36330000, B2=192389627446, polynomial Dickson(12), sigma=1:3081826586
Step 1 took 116671ms
********** Factor found in step 1: 30104734677367839663492666930726872339
Found prime factor of 38 digits: 30104734677367839663492666930726872339
Prime cofactor 262625222333300881215588769592740762315796742968954979782609957139994210547289860485640828257177901303010166779121247164484640233158974405340259637138208207616444298546891533 has 174 digits

1901183380837426929644077599405174270817458756916944896046126586200386087294606827526407187239307408705105547533318082544127596116210597273133710084859711999976710834560127433<175>

9673557278540877262545085740232883<34>
196534049067438222614468924488072227955561887209346649069442816687744704191274416742153912941072500604860735620603677773255529305195787368851<141>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1566918684
Step 1 took 20600ms
Step 2 took 9073ms
********** Factor found in step 2: 9673557278540877262545085740232883
Found prime factor of 34 digits: 9673557278540877262545085740232883
Prime cofactor 196534049067438222614468924488072227955561887209346649069442816687744704191274416742153912941072500604860735620603677773255529305195787368851 has 141 digits

373886680195938669054966126869781741716058434408728477377040298942839952373800318874385010122603590729860442923380454907443975457677440514966523255557369698083038884802417<171>

63238776002421875418684642629002004632644661720573017742306322910030661334032637806080467060433326289131878072841524755504871474702799550789593381083994223919739519131665585897068397128143608810442572073514837<209>

20416932626277087064015872279405509162473721449021486746593410409400559612559444736828483619617231942148260522280869880814751392731753971470007638641<149>

29757483805553525308319245593700252477938686834819361549130529<62>
686110853985132744056031614562323313076966366272234811144313976849607591673928336827729<87>

686110853985132744056031614562323313076966366272234811144313976849607591673928336827729
29757483805553525308319245593700252477938686834819361549130529

cado-nfs

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

163096209687892986841513211074714814241857888655950160350764034514763326994137761450806851530510992071791228804049439756562952278050443371373692206440574039161143<162>

202385830144456540173837338666458547<36>

805867730816332954782676609802887754126202345346164700226077679779216251936895669103103324442510384225353113919590984267996269<126>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3416953650
Step 1 took 18197ms
Step 2 took 7973ms
********** Factor found in step 2: 202385830144456540173837338666458547
Found prime factor of 36 digits: 202385830144456540173837338666458547
Composite cofactor 805867730816332954782676609802887754126202345346164700226077679779216251936895669103103324442510384225353113919590984267996269 has 126 digits

805867730816332954782676609802887754126202345346164700226077679779216251936895669103103324442510384225353113919590984267996269<126>

4551719039431175244893410678337329391444653045991<49>
177046896751571382681337643821012677579765901432607841661076124968594515390859<78>

805867730816332954782676609802887754126202345346164700226077679779216251936895669103103324442510384225353113919590984267996269=4551719039431175244893410678337329391444653045991*177046896751571382681337643821012677579765901432607841661076124968594515390859

cado polynomial
n: 805867730816332954782676609802887754126202345346164700226077679779216251936895669103103324442510384225353113919590984267996269
skew: 413237.096
c0: -911351083736822937606041903268
c1: -64452642951992959950367144
c2: -318154380974226777939
c3: 546976162434831
c4: 35569364
c5: 720
Y0: -5372323170244765467183100
Y1: 40549047630620863
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=1.236e+14) = 2.177e-07
# f(x) = 720*x^5+35569364*x^4+546976162434831*x^3-318154380974226777939*x^2-64452642951992959950367144*x-911351083736822937606041903268
# g(x) = 40549047630620863*x-5372323170244765467183100

cado.parameters (extracts)
tasks.lim0 = 2377918
tasks.lim1 = 9209388
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 57
tasks.sieve.mfb1 = 53

cado log (extracts)
Info:Square Root: Factors: 4551719039431175244893410678337329391444653045991 177046896751571382681337643821012677579765901432607841661076124968594515390859
Info:Square Root: Total cpu/real time for sqrt: 515.72/137.394
Info:Filtering - Merging: Merged matrix has 829501 rows and total weight 141494791 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 172.04/62.9971
Info:Filtering - Merging: Total cpu/real time for replay: 31.26/25.6772
Info:Linear Algebra: Total cpu/real time for bwc: 10531/2709.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6646.26, WCT time 1701.29, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26112 iterations)
Info:Linear Algebra: Lingen CPU time 146.36, WCT time 37.18
Info:Linear Algebra: Mksol: CPU time 3605.96,  WCT time 923.17, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.49/69.3126
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 68.69999999999999s
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): 20201/36.990/44.870/49.330/0.851
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15974/36.950/40.253/45.650/1.007
Info:Polynomial Selection (size optimized): Total time: 1901.17
Info:Square Root: Total cpu/real time for sqrt: 515.72/137.394
Info:Filtering - Singleton removal: Total cpu/real time for purge: 137.96/171.003
Info:Generate Factor Base: Total cpu/real time for makefb: 8.52/2.28392
Info:Quadratic Characters: Total cpu/real time for characters: 30.92/12.2841
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 203.52/220.482
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 176.89999999999998s
Info:Generate Free Relations: Total cpu/real time for freerel: 127.41/33.2875
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12290613
Info:Lattice Sieving: Average J: 3852.34 for 258962 special-q, max bucket fill -bkmult 1.0,1s:1.160490
Info:Lattice Sieving: Total time: 84645.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2893.92
Info:Polynomial Selection (root optimized): Rootsieve time: 2891.54
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 157323/12884.7
Info:root: Cleaning up computation data in /tmp/cado.4mvhfkod
4551719039431175244893410678337329391444653045991 177046896751571382681337643821012677579765901432607841661076124968594515390859

cado-nfs-3.0.0

3 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

4198214889277386093630272112988124821242903059397930665921234569616595928796929482268696864150168920043925781280988493273000639166646136698887255708671382818009925404005277492612126626267080490889563466199741278137<214>

23611111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<236>

7553157186803741007223231084659255753164240487126346991943697181314436530233674676657221724185946146894868491753668550900551922317806553215472069970598143076122422322586726445731237561976013801662387480889132163940465345393<223>

12542468528785381532008639777333887537148575622280214952682717553082561904013923026985265731826216008477953667249698834426514847296184303070305087595678490627<158>

86195732722163434554267047628702849987997913507<47>
145511478731943622033142551450696229721178615842181590005545483456821345083015109898460658992525407456389488161<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]                                                                                                                                                                  
Input number is 12542468528785381532008639777333887537148575622280214952682717553082561904013923026985265731826216008477953667249698834426514847296184303070305087595678490627 (158 digits)                                         Using B1=109840000, B2=776278396540, polynomial Dickson(30), sigma=1:1124230493                                                                                                                                                     
Step 1 took 247921ms                                                                                                                                                                                                                
Step 2 took 69185ms                                                                                                                                                                                                                 
********** Factor found in step 2: 86195732722163434554267047628702849987997913507                                                                                                                                                  
Found prime factor of 47 digits: 86195732722163434554267047628702849987997913507                                                                                                                                                    
Prime cofactor 145511478731943622033142551450696229721178615842181590005545483456821345083015109898460658992525407456389488161 has 111 digits