170604869694788093905091455966925999271538341921934357239589521757174916370543622369273523593<93>

1582381665720719336776169680552977583191307<43>
107815246719939440649887458558344608873910300400699<51>

prp43 = 1582381665720719336776169680552977583191307
prp51 = 107815246719939440649887458558344608873910300400699

Yafu

527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251<102>

3835289234524868701263347127137225203044267007859<49>
137530459633746368734384544271185455248823193661969289<54>

N=527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251
  ( 102 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=3835289234524868701263347127137225203044267007859 (pp49)
 r2=137530459633746368734384544271185455248823193661969289 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.59 hours.
Scaled time: 4.63 units (timescale=7.886).
Factorization parameters were as follows:
n: 527469091252564464825694892018766606420189496332360014234382161653115688656500901177126540505579642251
m: 50000000000000000000000000000
deg: 4
c4: 164
c0: -35
skew: 0.68
# Murphy_E = 4.832e-08
type: snfs
lss: 1
rlim: 620000
alim: 620000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 620000/620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [310000, 770001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 85635 x 85868
Total sieving time: 0.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,117.000,4,0,0,0,0,0,0,0,0,620000,620000,25,25,45,45,2.2,2.2,20000
total time: 0.59 hours.

GNFS, Msieve

37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929<113>

579745854505800208263964968191934611525917<42>
65014729928841618966100079685623221071702906041761823396619633073477037<71>

N=37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929
  ( 113 digits)
SNFS difficulty: 119 digits.
Divisors found:
 r1=579745854505800208263964968191934611525917 (pp42)
 r2=65014729928841618966100079685623221071702906041761823396619633073477037 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.87 hours.
Scaled time: 6.79 units (timescale=7.819).
Factorization parameters were as follows:
n: 37692020158060107556477814936593748236059422481028503073370550985627940781975197915281944584640373081131429867929
m: 100000000000000000000000000000
deg: 4
c4: 2050
c0: -7
skew: 0.24
# Murphy_E = 4.108e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67889 x 68114
Total sieving time: 0.86 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.87 hours.

GNFS, Msieve

656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029<102>

519721338125298253384643296448415871419547<42>
1263040466534284661894912756891602018610399593468901064121607<61>

N=656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029
  ( 102 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=519721338125298253384643296448415871419547 (pp42)
 r2=1263040466534284661894912756891602018610399593468901064121607 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.99 hours.
Scaled time: 7.77 units (timescale=7.849).
Factorization parameters were as follows:
n: 656429081373599411763772554740592700894256515817309735681610271599524010919553761618686287573724852029
m: 1000000000000000000000000000000
deg: 4
c4: 41
c0: -14
skew: 0.76
# Murphy_E = 3.075e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 87085 x 87333
Total sieving time: 0.98 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,75000
total time: 0.99 hours.

GNFS, Msieve

30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547<104>

397036988268649869634828638133907521870765602721853<51>
75659019192113671022847657317213928057266090633164799<53>

N=30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547
  ( 104 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=397036988268649869634828638133907521870765602721853 (pp51)
 r2=75659019192113671022847657317213928057266090633164799 (pp53)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.34 hours.
Scaled time: 10.52 units (timescale=7.862).
Factorization parameters were as follows:
n: 30039429115396790939194648713756591576535114418308544886081834206787887217735004112849285688265907652547
m: 10000000000000000000000000000000
deg: 4
c4: 205
c0: -7
skew: 0.43
# Murphy_E = 2.06e-08
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 745001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123242 x 123468
Total sieving time: 1.32 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,75000
total time: 1.34 hours.

GNFS, Msieve

561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709<105>

5729663128176697386988638049707796458539<40>
98026093554565791837307986512797476068159382884144397850564338031<65>

N=561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709
  ( 105 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=5729663128176697386988638049707796458539 (pp40)
 r2=98026093554565791837307986512797476068159382884144397850564338031 (pp65)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.99 hours.
Scaled time: 15.26 units (timescale=7.686).
Factorization parameters were as follows:
n: 561656493838795028128142494837229378599440455321611050160470510833092886033760944199670423719910672396709
m: 50000000000000000000000000000000
deg: 4
c4: 164
c0: -35
skew: 0.68
# Murphy_E = 1.294e-08
type: snfs
lss: 1
rlim: 990000
alim: 990000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 990000/990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [495000, 995001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153681 x 153906
Total sieving time: 1.96 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,990000,990000,26,26,47,47,2.3,2.3,100000
total time: 1.99 hours.

GNFS, Msieve

3780581977876287608059629222900734418708591301849361665263100629258795273675358395030300172288526012208891899<109>

8794561473410388442697790653509<31>
10734266151373189969233591880331972287<38>
40047195836465754553479827140375099207553<41>

Mon May  9 21:01:53 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 21:01:53 2022  random seeds: 182b061c 769d6c3f
Mon May  9 21:01:53 2022  factoring 3780581977876287608059629222900734418708591301849361665263100629258795273675358395030300172288526012208891899 (109 digits)
Mon May  9 21:01:53 2022  searching for 15-digit factors
Mon May  9 21:01:53 2022  commencing number field sieve (109-digit input)
Mon May  9 21:01:53 2022  R0: -1000000000000000000000000000000000
Mon May  9 21:01:53 2022  R1: 1
Mon May  9 21:01:53 2022  A0: -7
Mon May  9 21:01:53 2022  A1: 0
Mon May  9 21:01:53 2022  A2: 0
Mon May  9 21:01:53 2022  A3: 0
Mon May  9 21:01:53 2022  A4: 2050
Mon May  9 21:01:53 2022  skew 0.24, size 3.265e-14, alpha 0.145, combined = 6.951e-09 rroots = 2
Mon May  9 21:01:53 2022  
Mon May  9 21:01:53 2022  commencing square root phase
Mon May  9 21:01:53 2022  reading relations for dependency 1
Mon May  9 21:01:53 2022  read 90308 cycles
Mon May  9 21:01:53 2022  cycles contain 288468 unique relations
Mon May  9 21:01:56 2022  read 288468 relations
Mon May  9 21:01:56 2022  multiplying 288468 relations
Mon May  9 21:01:59 2022  multiply complete, coefficients have about 8.68 million bits
Mon May  9 21:02:00 2022  initial square root is modulo 97073
Mon May  9 21:02:03 2022  found factor: 10734266151373189969233591880331972287
Mon May  9 21:02:03 2022  reading relations for dependency 2
Mon May  9 21:02:03 2022  read 90228 cycles
Mon May  9 21:02:03 2022  cycles contain 288468 unique relations
Mon May  9 21:02:06 2022  read 288468 relations
Mon May  9 21:02:06 2022  multiplying 288468 relations
Mon May  9 21:02:09 2022  multiply complete, coefficients have about 8.68 million bits
Mon May  9 21:02:09 2022  initial square root is modulo 97213
Mon May  9 21:02:13 2022  sqrtTime: 20
Mon May  9 21:02:13 2022  p31 factor: 8794561473410388442697790653509
Mon May  9 21:02:13 2022  p38 factor: 10734266151373189969233591880331972287
Mon May  9 21:02:13 2022  p41 factor: 40047195836465754553479827140375099207553
Mon May  9 21:02:13 2022  elapsed time 00:00:20
Mon May 09 21:02:13 2022 -> Computing time scale for this machine...
Mon May 09 21:02:13 2022 -> procrels -speedtest> PIPE

566740940102736492871022411700864225223731238819018248625754260657332979814132447437670836828263312223<102>

9141578942179041662679057106355739581202677<43>
61995957556938705211987201886946624905813707279763765933699<59>

starting SIQS on c102: 566740940102736492871022411700864225223731238819018248625754260657332979814132447437670836828263312223

==== sieve params ====
n = 103 digits, 341 bits
factor base: 136304 primes (max prime = 3828113)
single large prime cutoff: 574216950 (150 * pmax)
double large prime range from 44 to 53 bits
double large prime cutoff: 5838977671544046
allocating 11 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 22 blocks of size 32768
polynomial A has ~ 13 factors
using multiplier of 7
using SPV correction of 20 bits, starting at offset 31
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 108 bits

==== sieving in progress (64 threads):  136368 relations needed ====
====            Press ctrl-c to abort and save state            ====
145906 rels found: 34915 full + 110991 from 2034004 partial, (1160.74 rels/sec)

sieving required 4121630 total polynomials
trial division touched 145794175 sieve locations out of 5942533160960
squfof: 2 failures, 1642522 attempts, 40038652 outside range, 8147279 prp, 1530621 useful
QS elapsed time = 1783.8214 seconds.

==== post processing stage (msieve-1.38) ====
begin with 2081374 relations
reduce to 383639 relations in 10 passes
attempting to read 383639 relations
failure to equate relation
Q = 400874357535523284063735491922091693804527598449132380562473279387504992716636338540978853827298945720, RHS = 6853726075344138897029144779301558326119408879746895680508911485989164772811771030444436489202360
failed to read relation 374407
recovered 383638 relations
recovered 366459 polynomials
freed 45 duplicate relations
attempting to build 148053 cycles
found 148053 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 35116
   length 2 : 25356
   length 3 : 25223
   length 4 : 20642
   length 5 : 15699
   length 6 : 10334
   length 7 : 6674
   length 9+: 9009
largest cycle: 21 relations
matrix is 136304 x 148053 (46.6 MB) with weight 11018938 (74.43/col)
sparse part has weight 11018938 (74.43/col)
filtering completed in 4 passes
matrix is 128188 x 128252 (37.0 MB) with weight 8683079 (67.70/col)
sparse part has weight 8683079 (67.70/col)
saving the first 48 matrix rows for later
matrix is 128140 x 128252 (32.0 MB) with weight 7672556 (59.82/col)
sparse part has weight 7099200 (55.35/col)
matrix includes 64 packed rows
using block size 51300 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 25.1 MB
lanczos halted after 2028 iterations (dim = 128135)
recovered 15 nontrivial dependencies
Lanczos elapsed time = 42.5260 seconds.
Sqrt elapsed time = 0.3850 seconds.
SIQS elapsed time = 1826.7340 seconds.


***factors found***

P59 = 61995957556938705211987201886946624905813707279763765933699
P43 = 9141578942179041662679057106355739581202677

1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313<124>

22309652555584874387985257162086323921315840793943647<53>
72360078303671543162269947896489472084070370418950785587500957707357679<71>

N=1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313
  ( 124 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=22309652555584874387985257162086323921315840793943647 (pp53)
 r2=72360078303671543162269947896489472084070370418950785587500957707357679 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.80 hours.
Scaled time: 21.96 units (timescale=7.849).
Factorization parameters were as follows:
n: 1614328205849827465303353701742829508217575748879593138471344571731480907444184283000486308773662208738579186507674398715313
m: 10000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 3.593e-09
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239465 x 239690
Total sieving time: 2.75 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:
snfs,141.000,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 2.80 hours.

GNFS, Msieve

1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763<106>

29773345150969406691907142243804471473<38>
41766105935436873459003519174318445197685542951059517007338119228731<68>

1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763=29773345150969406691907142243804471473*41766105935436873459003519174318445197685542951059517007338119228731

cado polynomial
n: 1243516687627713992120501269634151869900045313005161649657746633095550562797514556333235317968619851490763
skew: 0.76
type: snfs
c0: -14
c4: 41
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 41*x^4-14
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1870000
tasks.lim1 = 1870000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 29773345150969406691907142243804471473 41766105935436873459003519174318445197685542951059517007338119228731
Info:Square Root: Total cpu/real time for sqrt: 43.52/14.7058
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.36/32.5131
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6058380
Info:Lattice Sieving: Average J: 1897.06 for 168371 special-q, max bucket fill -bkmult 1.0,1s:1.307190
Info:Lattice Sieving: Total time: 14121.4s
Info:Linear Algebra: Total cpu/real time for bwc: 952.77/246.59
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 574.19, WCT time 146.67, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 42.01, WCT time 10.71
Info:Linear Algebra: Mksol: CPU time 314.2,  WCT time 80.28, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.31/22.7861
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.03/47.6058
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.4s
Info:Filtering - Merging: Merged matrix has 266839 rows and total weight 45513354 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.1/15.1877
Info:Filtering - Merging: Total cpu/real time for replay: 8.45/7.02822
Info:Generate Factor Base: Total cpu/real time for makefb: 0.96/0.519702
Info:Quadratic Characters: Total cpu/real time for characters: 8.55/3.35133
Info:Square Root: Total cpu/real time for sqrt: 43.52/14.7058
Info:Generate Free Relations: Total cpu/real time for freerel: 36.32/11.0489
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 26905.7/7592.13
Info:root: Cleaning up computation data in /tmp/cado.1nxo496s
29773345150969406691907142243804471473 41766105935436873459003519174318445197685542951059517007338119228731

cado-nfs-3.0.0

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

6710561065508203040931689420773386654435830885084651819743632062485412216041346843<82>

129436661905446301332550152687273552439<39>
51844361301671076445530512160188246393829437<44>

starting SIQS on c82: 6710561065508203040931689420773386654435830885084651819743632062485412216041346843

==== sieve params ====
n = 83 digits, 274 bits
factor base: 53072 primes (max prime = 1389481)
single large prime cutoff: 132000695 (95 * pmax)
double large prime range from 41 to 49 bits
double large prime cutoff: 414035130419252
allocating 7 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 12 blocks of size 32768
polynomial A has ~ 10 factors
using multiplier of 3
using SPV correction of 19 bits, starting at offset 29
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 96 bits

==== sieving in progress ( 8 threads):   53136 relations needed ====
====            Press ctrl-c to abort and save state            ====
46592 rels found: 19766 full + 26826 from 376101 partial, (7387.01 rels/sec)

sieving required 147152 total polynomials
trial division touched 5371253 sieve locations out of 115725041664
squfof: 1 failures, 178646 attempts, 1452536 outside range, 1172807 prp, 173023 useful
QS elapsed time = 57.7714 seconds.

==== post processing stage (msieve-1.38) ====
begin with 431653 relations
reduce to 98350 relations in 7 passes
attempting to read 98350 relations
recovered 98350 relations
recovered 71655 polynomials
freed 23 duplicate relations
attempting to build 54334 cycles
found 54334 cycles in 3 passes
distribution of cycle lengths:
   length 1 : 21508
   length 2 : 17985
   length 3 : 8831
   length 4 : 3723
   length 5 : 1473
   length 6 : 517
   length 7 : 202
   length 9+: 95
largest cycle: 12 relations
matrix is 53072 x 54334 (9.7 MB) with weight 2096814 (38.59/col)
sparse part has weight 2096814 (38.59/col)
filtering completed in 4 passes
matrix is 42681 x 42745 (7.7 MB) with weight 1687895 (39.49/col)
sparse part has weight 1687895 (39.49/col)
saving the first 48 matrix rows for later
matrix is 42633 x 42745 (6.7 MB) with weight 1437966 (33.64/col)
sparse part has weight 1328083 (31.07/col)
matrix includes 64 packed rows
using block size 17098 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 5.8 MB
lanczos halted after 676 iterations (dim = 42626)
recovered 14 nontrivial dependencies
Lanczos elapsed time = 4.8040 seconds.
Sqrt elapsed time = 0.0850 seconds.
SIQS elapsed time = 62.6603 seconds.


***factors found***

P39 = 129436661905446301332550152687273552439
P44 = 51844361301671076445530512160188246393829437

101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543<144>

8361170014946730284770115804473340303705870925151202081<55>
12167187581658626318854338109271536425967073214631583015006374928070653668417205388088303<89>

Number: n
N=101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543  ( 144 digits)
SNFS difficulty: 147 digits.
Divisors found:

Mon May  9 00:11:26 2022  p55 factor: 8361170014946730284770115804473340303705870925151202081
Mon May  9 00:11:26 2022  p89 factor: 12167187581658626318854338109271536425967073214631583015006374928070653668417205388088303
Mon May  9 00:11:26 2022  elapsed time 00:04:33 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 41x10^146-14 = 45(145)4
#
n: 101731923973996327725671182571584536747555952558185697980249119150414371495211155773907002133889137015532727904322366135675648851173639025358543
m: 100000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 2.059e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 13800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 786471 hash collisions in 7720203 relations (7437629 unique)
Msieve: matrix is 317159 x 317385 (104.9 MB)

Sieving start time : 2022/05/08 23:44:17
Sieving end time  : 2022/05/09 00:03:34

Total sieving time: 0hrs 19min 17secs.

Total relation processing time: 0hrs 1min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

23204300618556750779971324800625875256480392027400450500362571328388578309261779504234000243589229379401721797695807851214366458331<131>

185608013843229533292171466901080313087<39>
125017773414438050422361268628765961658960517473918126448360931219732333908671803351166328613<93>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3752083973
Step 1 took 4844ms
Step 2 took 3000ms
********** Factor found in step 2: 185608013843229533292171466901080313087
Found prime factor of 39 digits: 185608013843229533292171466901080313087
Prime cofactor 125017773414438050422361268628765961658960517473918126448360931219732333908671803351166328613 has 93 digits

GMP-ECM

2255351375459420661201737346747859606172381241027007292097299848570780252011634881249260727837488861416571776769591405009363329617887<133>

2274157043510655679523614279026838742246151263225861<52>
991730708261816262998449528534981089076037546092390232756106872239131703120933267<81>

2274157043510655679523614279026838742246151263225861

18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093<119>

38233608804017056910349005395373792301347447782881299<53>
495174456188008256654991779606624372958571222834796976046174156007<66>

N=18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093
  ( 119 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=38233608804017056910349005395373792301347447782881299 (pp53)
 r2=495174456188008256654991779606624372958571222834796976046174156007 (pp66)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.45 hours.
Scaled time: 74.19 units (timescale=7.855).
Factorization parameters were as follows:
n: 18932306447634190907175301652089380793929421606538307505160841987621496358744075214997149799646223582389871363988813093
m: 1000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 1.212e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 376601 x 376826
Total sieving time: 9.38 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:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.45 hours.

GNFS, Msieve

2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339<154>

13258582534472227479285797585016325411898941253<47>
219044342253163454357886950009343169516939191693596621950816670920320156022115368678891512481409543815944863<108>

Number: n
N=2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339  ( 154 digits)
SNFS difficulty: 158 digits.
Divisors found:

Mon May  9 15:32:49 2022  p47 factor: 13258582534472227479285797585016325411898941253
Mon May  9 15:32:49 2022  p108 factor: 219044342253163454357886950009343169516939191693596621950816670920320156022115368678891512481409543815944863
Mon May  9 15:32:49 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 41x10^157-14 = 45(156)4
#
n: 2904217490472749939790613002394208565316559706461529743437176817260968733619505008004306742034652273081445591964526045872469434881777097765877569524133339
m: 10000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 7.793e-10
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1858370 hash collisions in 17322628 relations (16614663 unique)
Msieve: matrix is 592385 x 592630 (81.1 MB)

Sieving start time : 2022/05/09 14:39:52
Sieving end time  : 2022/05/09 15:24:19

Total sieving time: 0hrs 44min 27secs.

Total relation processing time: 0hrs 2min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057<126>

11061241060219165372882905142916008889331455604451<50>
14719182636579624999591273260942110801464377132586634044151428031016003878907<77>

N=162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057
  ( 126 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=11061241060219165372882905142916008889331455604451 (pp50)
 r2=14719182636579624999591273260942110801464377132586634044151428031016003878907 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.71 hours.
Scaled time: 99.72 units (timescale=7.843).
Factorization parameters were as follows:
n: 162812427352599541155959031381625061875786338944717787387601337382226007585004656710179512412065109093526525945660680294215057
m: 10000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 6.426e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 591475 x 591701
Total sieving time: 12.57 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 12.71 hours.

GNFS, Msieve

635704454990893570590417142790372173195676363916076506692747351909129536358503286804353653334935169<99>

713800342343520932312483017418254717<36>
890591412304138092338163472118485124361045539847662602954063957<63>

prp63 = 890591412304138092338163472118485124361045539847662602954063957
prp36 = 713800342343520932312483017418254717

Yafu

60547729795648606474590436928577270927771541083968316919907821004628313373725404564163472939993059<98>

161010812846124495354468922923814302139852129823<48>
376047600315595703152518690002807179370422553894333<51>

prp48 = 161010812846124495354468922923814302139852129823
prp51 = 376047600315595703152518690002807179370422553894333

Yafu

957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583<156>

19134119122186506044414529295635309780646195065618061<53>
50034982523202557732249444887086362587222413881705512146152452962733041827475044919614387112854571871403<104>

Number: n
N=957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583  ( 156 digits)
SNFS difficulty: 162 digits.
Divisors found:

Mon May  9 10:45:09 2022  p53 factor: 19134119122186506044414529295635309780646195065618061
Mon May  9 10:45:09 2022  p104 factor: 50034982523202557732249444887086362587222413881705512146152452962733041827475044919614387112854571871403
Mon May  9 10:45:09 2022  elapsed time 00:07:59 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 41x10^161-14 = 45(160)4
#
n: 957375315875477695256695672803675947603082468309709513648669411765255308646126529523820198377505696383129459092286777339253181871888238340686442771606209583
m: 100000000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 5.487e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1387876 hash collisions in 16740342 relations (16096795 unique)
Msieve: matrix is 473642 x 473868 (158.4 MB)

Sieving start time : 2022/05/09 09:38:50
Sieving end time  : 2022/05/09 10:36:39

Total sieving time: 0hrs 57min 49secs.

Total relation processing time: 0hrs 3min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 47sec.

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

7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991<157>

9686546571552255658509953330013845976463<40>
1846398331832377926075427567634146318876093831658827<52>
417220440562457024134760520857642474921873239850524878650469385091<66>

Number: n
N=7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991  ( 157 digits)
SNFS difficulty: 163 digits.
Divisors found:

Mon May  9 08:27:27 2022  found factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:17 2022  found factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:43 2022  p40 factor: 9686546571552255658509953330013845976463
Mon May  9 08:28:43 2022  p52 factor: 1846398331832377926075427567634146318876093831658827
Mon May  9 08:28:43 2022  p66 factor: 417220440562457024134760520857642474921873239850524878650469385091
Mon May  9 08:28:43 2022  elapsed time 00:09:21 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 41x10^162-14 = 45(161)4
#
n: 7462080799410896021182117359966773720225842605423731528164986970478916345706191306639468292162667537364094578416095089477628863765336851067423358060121074991
m: 100000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 4.987e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1947317 hash collisions in 17601775 relations (16818195 unique)
Msieve: matrix is 483135 x 483360 (162.3 MB)

Sieving start time : 2022/05/09 07:19:06
Sieving end time  : 2022/05/09 08:19:04

Total sieving time: 0hrs 59min 58secs.

Total relation processing time: 0hrs 3min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

3591280143109944347086438590555109025068458728592322835589357902639130954404970611871745956423757758248269307966412423430684194853229<133>

260945566428506481433790644862952950519193817<45>
13762564324287450559630542507803413242110269205533378866486359255034331913233422372346037<89>

Thu May 12 00:24:02 2022  Msieve v. 1.53 (SVN unknown)
Thu May 12 00:24:02 2022  random seeds: bb073dc0 c67d24e0
Thu May 12 00:24:02 2022  factoring 3591280143109944347086438590555109025068458728592322835589357902639130954404970611871745956423757758248269307966412423430684194853229 (133 digits)
Thu May 12 00:24:03 2022  searching for 15-digit factors
Thu May 12 00:24:04 2022  commencing number field sieve (133-digit input)
Thu May 12 00:24:04 2022  R0: -500000000000000000000000000000000
Thu May 12 00:24:04 2022  R1: 1
Thu May 12 00:24:04 2022  A0: -35
Thu May 12 00:24:04 2022  A1: 0
Thu May 12 00:24:04 2022  A2: 0
Thu May 12 00:24:04 2022  A3: 0
Thu May 12 00:24:04 2022  A4: 0
Thu May 12 00:24:04 2022  A5: 328
Thu May 12 00:24:04 2022  skew 0.64, size 1.097e-11, alpha -0.115, combined = 3.471e-10 rroots = 1
Thu May 12 00:24:04 2022  
Thu May 12 00:24:04 2022  commencing square root phase
Thu May 12 00:24:04 2022  reading relations for dependency 1
Thu May 12 00:24:04 2022  read 400548 cycles
Thu May 12 00:24:05 2022  cycles contain 1393138 unique relations
Thu May 12 00:24:20 2022  read 1393138 relations
Thu May 12 00:24:26 2022  multiplying 1393138 relations
Thu May 12 00:25:09 2022  multiply complete, coefficients have about 41.29 million bits
Thu May 12 00:25:09 2022  initial square root is modulo 847871
Thu May 12 00:26:04 2022  sqrtTime: 120
Thu May 12 00:26:04 2022  p45 factor: 260945566428506481433790644862952950519193817
Thu May 12 00:26:04 2022  p89 factor: 13762564324287450559630542507803413242110269205533378866486359255034331913233422372346037
Thu May 12 00:26:04 2022  elapsed time 00:02:02

4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683<163>

163748768766095812356547393088560568498327258195663548150739221<63>
27694872095581308719652098238258988493996311720783656841206915311267844194169642960952068981757749623<101>

Number: n
N=4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683  ( 163 digits)
SNFS difficulty: 171 digits.
Divisors found:

Tue May 10 14:05:04 2022  p63 factor: 163748768766095812356547393088560568498327258195663548150739221
Tue May 10 14:05:04 2022  p101 factor: 27694872095581308719652098238258988493996311720783656841206915311267844194169642960952068981757749623
Tue May 10 14:05:04 2022  elapsed time 00:13:57 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 41x10^170-14 = 45(169)4
#
n: 4535001206785943082845727238335070448954124859126547573862731588160010885418701541064863987316720995649294605670705762173197000932469250573640598380268792884063683
m: 10000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 2.522e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1555404 hash collisions in 14993901 relations (14388310 unique)
Msieve: matrix is 655746 x 655973 (225.0 MB)

Sieving start time : 2022/05/10 12:36:28
Sieving end time  : 2022/05/10 13:50:51

Total sieving time: 1hrs 14min 23secs.

Total relation processing time: 0hrs 5min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 15sec.

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

5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203<127>

6298784911737975895825499116232914353437363729378400535059799<61>
847274934838509300708765209024174482584083410410068354204705289397<66>

5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203=6298784911737975895825499116232914353437363729378400535059799*847274934838509300708765209024174482584083410410068354204705289397

cado polynomial
n: 5336802575654579084085472195615095928730793846747397216831733351318422522157076899459698304495282788334437739951241798995651203
skew: 0.32
type: snfs
c0: -7
c5: 2050
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 2050*x^5-7
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
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: 6298784911737975895825499116232914353437363729378400535059799 847274934838509300708765209024174482584083410410068354204705289397
Info:Square Root: Total cpu/real time for sqrt: 207.97/65.953
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.26/78.503
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11757166
Info:Lattice Sieving: Average J: 1892.91 for 460557 special-q, max bucket fill -bkmult 1.0,1s:1.251630
Info:Lattice Sieving: Total time: 63015.1s
Info:Linear Algebra: Total cpu/real time for bwc: 10978.1/2821.75
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 6916.45, WCT time 1769.52, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (26368 iterations)
Info:Linear Algebra: Lingen CPU time 148.71, WCT time 37.81
Info:Linear Algebra: Mksol: CPU time 3779.04,  WCT time 965.64, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13312 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.56/17.2266
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.98/51.2775
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.01/112.459
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 96.59999999999998s
Info:Filtering - Merging: Merged matrix has 841935 rows and total weight 143739173 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 193.59/54.4848
Info:Filtering - Merging: Total cpu/real time for replay: 31.09/26.0543
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/1.44298
Info:Quadratic Characters: Total cpu/real time for characters: 29.98/11.869
Info:Square Root: Total cpu/real time for sqrt: 207.97/65.953
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 128446/34766.1
Info:root: Cleaning up computation data in /tmp/cado.qd19tpak
6298784911737975895825499116232914353437363729378400535059799 847274934838509300708765209024174482584083410410068354204705289397

cado-nfs-3.0.0

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

422934842263314980483633963742823905569227600627483933314047285631510180682570845785991598083551760196315885567217315158871291857307543<135>

1981266986411171196940740174485354826839<40>
213466859925532295817940574961737858009143401044185306308408214993220706010516355132354534905537<96>

Step 1 took 4985ms
Step 2 took 3172ms
********** Factor found in step 2: 1981266986411171196940740174485354826839
Found prime factor of 40 digits: 1981266986411171196940740174485354826839
Prime cofactor 213466859925532295817940574961737858009143401044185306308408214993220706010516355132354534905537 has 96 digits

GMP-ECM

2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<175>

16367756341332294755137141213532402084089798151<47>
126511357300576744122882501009380548056116057416146269860986623299195530406144916219549468032814783935136513400022416241914111157<129>

Number: n
N=2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707  ( 175 digits)
SNFS difficulty: 176 digits.
Divisors found:

Thu May 12 05:19:59 2022  p47 factor: 16367756341332294755137141213532402084089798151
Thu May 12 05:19:59 2022  p129 factor: 126511357300576744122882501009380548056116057416146269860986623299195530406144916219549468032814783935136513400022416241914111157
Thu May 12 05:19:59 2022  elapsed time 00:17:51 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 41x10^175-14 = 45(174)4
#
n: 2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707
m: 100000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 1.592e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4048157 hash collisions in 31039680 relations (28706755 unique)
Msieve: matrix is 760156 x 760387 (258.0 MB)

Sieving start time : 2022/05/12 03:46:39
Sieving end time  : 2022/05/12 05:01:39

Total sieving time: 1hrs 15min 0secs.

Total relation processing time: 0hrs 8min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251<138>

266174359496673828484184512646965778498280561866393<51>
524233495494277213657474294362738253968428559867572196991603294297006567346600383007507<87>

Number: n
N=139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251  ( 138 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 00:39:00 2022  p51 factor: 266174359496673828484184512646965778498280561866393
Thu Jun 16 00:39:00 2022  p87 factor: 524233495494277213657474294362738253968428559867572196991603294297006567346600383007507
Thu Jun 16 00:39:00 2022  elapsed time 00:18:36 (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 = 41x10^176-14 = 45(175)4
#
n: 139537514889891682740373421190522749842359546454798266415778076953857451214832184235688560855676392886708267533148477286364600806450012251
m: 100000000000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 1.399e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3680250 hash collisions in 28580783 relations (26448744 unique)
Msieve: matrix is 858674 x 858902 (292.9 MB)

Sieving start time : 2022/06/15 22:14:45
Sieving end time  : 2022/06/16 00:19:35

Total sieving time: 2hrs 4min 50secs.

Total relation processing time: 0hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461<147>

103427261745857140563388259695890076899472549655702870357610571<63>
2863021248132042360466929176065044120188794735747397366462532402924815628682653127591<85>

Number: n
N=296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461  ( 147 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sat May 14 15:07:50 2022  p63 factor: 103427261745857140563388259695890076899472549655702870357610571
Sat May 14 15:07:50 2022  p85 factor: 2863021248132042360466929176065044120188794735747397366462532402924815628682653127591
Sat May 14 15:07:50 2022  elapsed time 00:18:54 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 41x10^177-14 = 45(176)4
#
n: 296114448014503349183057181555573555142856597483324097433489893221230551026666528155166737930710023850581715846522672337114361477822448922753364461
m: 100000000000000000000000000000000000
deg: 5
c5: 2050
c0: -7
skew: 0.32
# Murphy_E = 1.27e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4068571 hash collisions in 30201350 relations (27742596 unique)
Msieve: matrix is 853069 x 853294 (293.3 MB)

Sieving start time : 2022/05/14 13:12:54
Sieving end time  : 2022/05/14 14:48:28

Total sieving time: 1hrs 35min 34secs.

Total relation processing time: 0hrs 10min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297<167>

2940913720084146858728891738397147734329<40>
23911560119244007237324332101526588035831133786926447203541465214033946817651612947230658484732718517203692360935658543243197393<128>

Number: n
N=70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297  ( 167 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sat May 14 00:12:18 2022  p40 factor: 2940913720084146858728891738397147734329
Sat May 14 00:12:18 2022  p128 factor: 23911560119244007237324332101526588035831133786926447203541465214033946817651612947230658484732718517203692360935658543243197393
Sat May 14 00:12:18 2022  elapsed time 00:23:33 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 41x10^178-14 = 45(177)4
#
n: 70321835223301619583367851534669752179582973785588270843409638667183504346530919509064438012202644405637968868222355822878211737540770441992545195455447550271669404297
m: 100000000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 1.045e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4222421 hash collisions in 30193668 relations (27532048 unique)
Msieve: matrix is 896745 x 896970 (306.3 MB)

Sieving start time : 2022/05/13 22:00:37
Sieving end time  : 2022/05/13 23:48:13

Total sieving time: 1hrs 47min 36secs.

Total relation processing time: 0hrs 12min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 8sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

261661438962428318178647418788010999599547071712700890943590561015047472595213483316272139817085621447129364048490294683312587327719751415886978977<147>

8028737007046509636591977493996098249<37>
32590610295589240084506955754563753229643539615711039431898008422785720996235611133755315451067431695935093273<110>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4264796787
Step 1 took 5828ms
********** Factor found in step 1: 8028737007046509636591977493996098249
Found prime factor of 37 digits: 8028737007046509636591977493996098249
Prime cofactor 32590610295589240084506955754563753229643539615711039431898008422785720996235611133755315451067431695935093273 has 110 digits
 

GMP-ECM

2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359<166>

3360116241886627324153015668228285707789217904725096259486522912932152566432974821<82>
625785814362690296322111275564529426434644160353991508004597088625954240116811658579<84>

Number: n
N=2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359  ( 166 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sun May 15 16:12:39 2022  p82 factor: 3360116241886627324153015668228285707789217904725096259486522912932152566432974821
Sun May 15 16:12:39 2022  p84 factor: 625785814362690296322111275564529426434644160353991508004597088625954240116811658579
Sun May 15 16:12:39 2022  elapsed time 00:23:31 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 41x10^185-14 = 45(184)4
#
n: 2102713078782325531206336561854931339094552560877040292274278832458952106816354168791712258905172209532561964014752573515050676512219734996814662399898310677955639359
m: 10000000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 6.265e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2945557 hash collisions in 28962351 relations (27818199 unique)
Msieve: matrix is 969460 x 969688 (335.2 MB)

Sieving start time : 2022/05/15 12:55:07
Sieving end time  : 2022/05/15 15:48:40

Total sieving time: 2hrs 53min 33secs.

Total relation processing time: 0hrs 15min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 5sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

20058438918763295605641369275781475540465550671164024204098678636369615367343451<80>

71603296480560167108851551979951849777<38>
280132897571399276592559898799826253247563<42>

05/07/22 23:39:52 v1.34.5 @ DESKTOP-RJPVCOL, starting SIQS on c80: 20058438918763295605641369275781475540465550671164024204098678636369615367343451
05/07/22 23:39:52 v1.34.5 @ DESKTOP-RJPVCOL, random seeds: 1647777551, 2355858868
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieve params ====
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, n = 81 digits, 267 bits
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, factor base: 45952 primes (max prime = 1185077)
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, single large prime cutoff: 100731545 (85 * pmax)
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, allocating 7 large prime slices of factor base
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, buckets hold 2048 elements
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using 32k sieve core
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, sieve interval: 10 blocks of size 32768
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, polynomial A has ~ 10 factors
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using multiplier of 11
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SPV correction of 21 bits, starting at offset 36
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for trial division and x64 sieve scanning
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE4.1 enabled 32k sieve core
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, using SSE2 for resieving 13-16 bit primes
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, trial factoring cutoff at 92 bits
05/07/22 23:39:53 v1.34.5 @ DESKTOP-RJPVCOL, ==== sieving started ( 8 threads) ====
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 3790127 sieve locations out of 59660697600
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, 47481 relations found: 24512 full + 22969 from 240502 partial, using 91035 polys (356 A polys)
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, on average, sieving found 2.91 rels/poly and 8659.42 rels/sec
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, trial division touched 3790127 sieve locations out of 59660697600
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, ==== post processing stage (msieve-1.38) ====
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, begin with 265014 relations
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, reduce to 67546 relations in 2 passes
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, recovered 67546 relations
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, recovered 47770 polynomials
05/07/22 23:40:23 v1.34.5 @ DESKTOP-RJPVCOL, freed 25 duplicate relations
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, attempting to build 47456 cycles
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, found 47456 cycles in 1 passes
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, distribution of cycle lengths:
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 1 : 24510
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL,    length 2 : 22946
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, largest cycle: 2 relations
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 45952 x 47456 (6.8 MB) with weight 1412617 (29.77/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 1412617 (29.77/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, filtering completed in 4 passes
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 32108 x 32172 (5.1 MB) with weight 1077094 (33.48/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 1077094 (33.48/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, saving the first 48 matrix rows for later
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix is 32060 x 32172 (4.3 MB) with weight 880532 (27.37/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, sparse part has weight 804286 (25.00/col)
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, matrix includes 64 packed rows
05/07/22 23:40:24 v1.34.5 @ DESKTOP-RJPVCOL, using block size 12868 for processor cache size 12288 kB
05/07/22 23:40:25 v1.34.5 @ DESKTOP-RJPVCOL, commencing Lanczos iteration
05/07/22 23:40:25 v1.34.5 @ DESKTOP-RJPVCOL, memory use: 3.9 MB
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, lanczos halted after 509 iterations (dim = 32055)
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, recovered 14 nontrivial dependencies
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 71603296480560167108851551979951849777
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, prp42 = 280132897571399276592559898799826253247563
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, Lanczos elapsed time = 3.3510 seconds.
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, Sqrt elapsed time = 0.1050 seconds.
05/07/22 23:40:26 v1.34.5 @ DESKTOP-RJPVCOL, SIQS elapsed time = 34.1636 seconds.

1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691<175>

3439181554821303187610663442813720901788008417514471704863739218441873066584872197<82>
319083612622035488998075981073825122371984825994075689232277156404603182082180131357925477303<93>

Number: n
N=1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691  ( 175 digits)
SNFS difficulty: 191 digits.
Divisors found:

Wed May 18 03:39:03 2022  p82 factor: 3439181554821303187610663442813720901788008417514471704863739218441873066584872197
Wed May 18 03:39:03 2022  p93 factor: 319083612622035488998075981073825122371984825994075689232277156404603182082180131357925477303
Wed May 18 03:39:03 2022  elapsed time 00:39:52 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 41x10^190-14 = 45(189)4
#
n: 1097386474975450415856356726569987554973903668390150735894592514763041732851893085125162031773276435603730143157978002056827500690970820317601646804974971086448488270479244691
m: 100000000000000000000000000000000000000
deg: 5
c5: 41
c0: -14
skew: 0.81
# Murphy_E = 3.904e-11
type: snfs
lss: 1
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3252589 hash collisions in 29173350 relations (27659399 unique)
Msieve: matrix is 1194093 x 1194319 (410.8 MB)

Sieving start time : 2022/05/17 22:57:38
Sieving end time  : 2022/05/18 02:58:38

Total sieving time: 4hrs 1min 0secs.

Total relation processing time: 0hrs 24min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 13sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10900000,10900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

66085126843532854945893550842740571438153405590295318946633194091195831041779909054387662396213466039148320899345049563899681842114160391<137>

23163931698274195400352867121420303918737650347<47>

2852932209623829035713475760497568059880889192056793216256352890238923759021973362834636053<91>

23163931698274195400352867121420303918737650347

2852932209623829035713475760497568059880889192056793216256352890238923759021973362834636053<91>

867719556997451053781544484962351409<36>
3287850534907569900376551445105777268108537450480666917<55>

prp36 = 867719556997451053781544484962351409
prp55 = 3287850534907569900376551445105777268108537450480666917

Yafu

10327330368038904546856635622211384181563127225200086686179789921123232493924607291512379568183536492615919358717378210784200919152648538376089351215434596080661899036391351<173>

20174930119755710675583976670826081653<38>
192422521072391444593137321044350987201<39>
2660235781827324331137360086969783163595853712782739187677227122041558025050457306804357290727867<97>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 10327330368038904546856635622211384181563127225200086686179789921123232493924607291512379568183536492615919358717378210784200919152648538376089351215434596080661899036391351 (173 digits)
Using B1=15810000, B2=58558142380, polynomial Dickson(12), sigma=1:1358244469
Step 1 took 36990ms
********** Factor found in step 1: 192422521072391444593137321044350987201
Found prime factor of 39 digits: 192422521072391444593137321044350987201
Composite cofactor 53670071000439967085342051183966815049100323252915712330478177188581259483102965354521193214039951940077174704420578265189967944524151 has 134 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 53670071000439967085342051183966815049100323252915712330478177188581259483102965354521193214039951940077174704420578265189967944524151 (134 digits)
Using B1=16940000, B2=58559441860, polynomial Dickson(12), sigma=1:2761953313
Step 1 took 25685ms
Step 2 took 12390ms
********** Factor found in step 2: 20174930119755710675583976670826081653
Found prime factor of 38 digits: 20174930119755710675583976670826081653
Prime cofactor 2660235781827324331137360086969783163595853712782739187677227122041558025050457306804357290727867 has 97 digits

83416347274088210672701171574301642770060578664291447589677206571573717962155648187979016080758644328189930685514370413383912224861939557726325967<146>

30205230819151978039610728510168380130547667458915404129749422129129641<71>
2761652369866914082046051039769046636370651838820094132640717080084125359287<76>

83416347274088210672701171574301642770060578664291447589677206571573717962155648187979016080758644328189930685514370413383912224861939557726325967=30205230819151978039610728510168380130547667458915404129749422129129641*2761652369866914082046051039769046636370651838820094132640717080084125359287

cado polynomial
n: 83416347274088210672701171574301642770060578664291447589677206571573717962155648187979016080758644328189930685514370413383912224861939557726325967
skew: 0.20
type: snfs
c0: -7
c5: 20500
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 20500*x^5-7
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12100000
tasks.lim1 = 12100000
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: 30205230819151978039610728510168380130547667458915404129749422129129641 2761652369866914082046051039769046636370651838820094132640717080084125359287
Info:Square Root: Total cpu/real time for sqrt: 697.52/223.482
Info:Generate Factor Base: Total cpu/real time for makefb: 5.21/2.49118
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 521.99/538.091
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.30000000000007s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.84/31.3942
Info:Square Root: Total cpu/real time for sqrt: 697.52/223.482
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 119.89/117.813
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.69999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 420.12/397.223
Info:Filtering - Merging: Merged matrix has 2229554 rows and total weight 381375628 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 607.9/166.481
Info:Filtering - Merging: Total cpu/real time for replay: 84.32/75.4628
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27365237
Info:Lattice Sieving: Average J: 1895.95 for 2410000 special-q, max bucket fill -bkmult 1.0,1s:1.148770
Info:Lattice Sieving: Total time: 640412s
Info:Linear Algebra: Total cpu/real time for bwc: 84622.9/21718.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 54145.32, WCT time 13832.21, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70144 iterations)
Info:Linear Algebra: Lingen CPU time 495.4, WCT time 125.53
Info:Linear Algebra: Mksol: CPU time 29210.69,  WCT time 7499.91, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 77.03/34.1878
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.32152e+06/128616
Info:root: Cleaning up computation data in /tmp/cado.lv640ldf
30205230819151978039610728510168380130547667458915404129749422129129641 2761652369866914082046051039769046636370651838820094132640717080084125359287

cado-nfs-3.0.0

Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

160005796692542335665700586542345739467657338462410108755702813675610165530447651226338400867203332728892445440094885057648281825486303744792258206213635951019196490558757051<174>

1893854259297838086220926263177423089186917200955651118183376116055111<70>
84486858430102108210883530255687367310539049447070195180900806409333645083752133454052573376800955522541<104>

Number: n
N=160005796692542335665700586542345739467657338462410108755702813675610165530447651226338400867203332728892445440094885057648281825486303744792258206213635951019196490558757051  ( 174 digits)
SNFS difficulty: 199 digits.
Divisors found:

Mon Aug 29 21:24:57 2022  p70 factor: 1893854259297838086220926263177423089186917200955651118183376116055111
Mon Aug 29 21:24:57 2022  p104 factor: 84486858430102108210883530255687367310539049447070195180900806409333645083752133454052573376800955522541
Mon Aug 29 21:24:57 2022  elapsed time 01:26:09 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 41x10^198-14 = 45(197)4
#
n: 160005796692542335665700586542345739467657338462410108755702813675610165530447651226338400867203332728892445440094885057648281825486303744792258206213635951019196490558757051
m: 1000000000000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 1.582e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3401496 hash collisions in 27752506 relations (25891235 unique)
Msieve: matrix is 1821928 x 1822153 (637.4 MB)

Sieving start time : 2022/08/29 13:29:47
Sieving end time  : 2022/08/29 19:58:19

Total sieving time: 6hrs 28min 32secs.

Total relation processing time: 1hrs 3min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 51sec.

Prototype def-par.txt line would be:
snfs,199,5,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

456802269445371251683074034873011676483247163378792222866046025689788640509005543665438142643220285222390207357279189063932621745475742862490722485176549096881747157532837325841990031589570443<192>

35462452557494370651345299267101381817003<41>
8309548205337418426514386965678099053679546281<46>
1550179800233667411140588218260340941735166504185428393772120003918078169462406712129559187398315474502201<106>

Number: n
N=456802269445371251683074034873011676483247163378792222866046025689788640509005543665438142643220285222390207357279189063932621745475742862490722485176549096881747157532837325841990031589570443  ( 192 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Sep  8 23:39:05 2022  found factor: 294676959005990691885781860775720701336024539163846655301012645394786923261864411215843
Thu Sep  8 23:48:11 2022  found factor: 294676959005990691885781860775720701336024539163846655301012645394786923261864411215843
Thu Sep  8 23:51:12 2022  p41 factor: 35462452557494370651345299267101381817003
Thu Sep  8 23:51:12 2022  p46 factor: 8309548205337418426514386965678099053679546281
Thu Sep  8 23:51:12 2022  p106 factor: 1550179800233667411140588218260340941735166504185428393772120003918078169462406712129559187398315474502201
Thu Sep  8 23:51:12 2022  elapsed time 01:47:03 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.334).
Factorization parameters were as follows:
#
# N = 41x10^199-14 = 45(198)4
#
n: 456802269445371251683074034873011676483247163378792222866046025689788640509005543665438142643220285222390207357279189063932621745475742862490722485176549096881747157532837325841990031589570443
m: 5000000000000000000000000000000000000000
deg: 5
c5: 328
c0: -35
skew: 0.64
# Murphy_E = 1.318e-11
type: snfs
lss: 1
rlim: 13700000
alim: 13700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 13700000/13700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3720392 hash collisions in 27944148 relations (25685910 unique)
Msieve: matrix is 2033562 x 2033789 (710.9 MB)

Sieving start time : 2022/09/08 14:00:21
Sieving end time  : 2022/09/08 22:03:37

Total sieving time: 8hrs 3min 16secs.

Total relation processing time: 1hrs 20min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 11sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

1000341580051724979261211145269116283609037232225638022739472014834333674913385058312594544478602449616942370565558971356072805348167667008246718391645927877811935782950275703898892304689406138681501<199>

1064734255044424049280236167306722350056784156141582045918214694421714722933921<79>
939522303628699908922277299363086573279411743469482542308313433184477568041018862434890431799665961465980393891902905981<120>

1064734255044424049280236167306722350056784156141582045918214694421714722933921

209495766485164814016651509997922735071735659112298980995589436472739264443812590347560249565867963203318237431186116377162784622406534075732403256712047668293798231392923057<174>

92610502144991024478361401994131527395773533113<47>
19572559843053683128909574198564430496950084173881425139<56>
115575926215017348152366919495430922029128776468224293189231249362630051<72>

Number: n
N=209495766485164814016651509997922735071735659112298980995589436472739264443812590347560249565867963203318237431186116377162784622406534075732403256712047668293798231392923057  ( 174 digits)
SNFS difficulty: 204 digits.
Divisors found:

Thu Aug 24 04:23:24 2023  prp47 factor: 92610502144991024478361401994131527395773533113
Thu Aug 24 04:23:24 2023  prp56 factor: 19572559843053683128909574198564430496950084173881425139
Thu Aug 24 04:23:24 2023  prp72 factor: 115575926215017348152366919495430922029128776468224293189231249362630051
Thu Aug 24 04:23:24 2023  elapsed time 02:42:21 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.096).
Factorization parameters were as follows:
#
# N = 41x10^203-14 = 45(202)4
#
n: 209495766485164814016651509997922735071735659112298980995589436472739264443812590347560249565867963203318237431186116377162784622406534075732403256712047668293798231392923057
m: 10000000000000000000000000000000000000000
deg: 5
c5: 20500
c0: -7
skew: 0.20
# Murphy_E = 9.765e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2716384 hash collisions in 17418562 relations (15181988 unique)
Msieve: matrix is 2229455 x 2229680 (631.9 MB)

Sieving start time: 2023/08/23 12:30:51
Sieving end time  : 2023/08/24 01:40:40

Total sieving time: 13hrs 9min 49secs.

Total relation processing time: 2hrs 28min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 36sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

8617149012869748851832137116730429908313601098915536067935846237280099121982814752603188978059144478077275697522553263391886586778985383026550567764362960345132530163885446287952344177736682807<193>

92585474338874677312245438390847300081808274029584518421297837902125466065327<77>
93072364476201540786750679137568541141261714339874394783794698094835235569221776004407657467806119009421989911957241<116>

Number: n
N=8617149012869748851832137116730429908313601098915536067935846237280099121982814752603188978059144478077275697522553263391886586778985383026550567764362960345132530163885446287952344177736682807  ( 193 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Oct 25 14:37:57 2023  prp77 factor: 92585474338874677312245438390847300081808274029584518421297837902125466065327
Wed Oct 25 14:37:57 2023  prp116 factor: 93072364476201540786750679137568541141261714339874394783794698094835235569221776004407657467806119009421989911957241
Wed Oct 25 14:37:57 2023  elapsed time 02:44:07 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 41x10^204-14 = 45(203)4
#
n: 8617149012869748851832137116730429908313601098915536067935846237280099121982814752603188978059144478077275697522553263391886586778985383026550567764362960345132530163885446287952344177736682807
m: 10000000000000000000000000000000000
deg: 6
c6: 41
c0: -14
skew: 0.84
# Murphy_E = 8.529e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3318377 hash collisions in 19399265 relations (16777659 unique)
Msieve: matrix is 2269871 x 2270096 (643.1 MB)

Sieving start time: 2023/10/24 15:30:35
Sieving end time  : 2023/10/25 11:53:26

Total sieving time: 20hrs 22min 51secs.

Total relation processing time: 2hrs 35min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 12sec.

Prototype def-par.txt line would be:
snfs,205,6,0,0,0,0,0,0,0,0,18700000,18700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

16589618055946019527865734803903806262119923676190021670826761094499367862627250575296701773567461584883596771345231959752216814589194334383883722579599541261240912651536344541<176>

247530466939591741695918187497919644950036324614583170631477<60>
67020509681317782139384059038178300284853950686726344566411364552087133003054188550758427692265581253322497653895433<116>

Number: n
N=16589618055946019527865734803903806262119923676190021670826761094499367862627250575296701773567461584883596771345231959752216814589194334383883722579599541261240912651536344541  ( 176 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Jun 17 23:17:26 2024  prp60 factor: 247530466939591741695918187497919644950036324614583170631477
Mon Jun 17 23:17:26 2024  prp116 factor: 67020509681317782139384059038178300284853950686726344566411364552087133003054188550758427692265581253322497653895433
Mon Jun 17 23:17:26 2024  elapsed time 02:47:47 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.947).
Factorization parameters were as follows:
#
# N = 41x10^206-14 = 45(205)4
#
n: 16589618055946019527865734803903806262119923676190021670826761094499367862627250575296701773567461584883596771345231959752216814589194334383883722579599541261240912651536344541
m: 100000000000000000000000000000000000000000
deg: 5
c5: 205
c0: -7
skew: 0.51
# Murphy_E = 8.077e-12
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42800000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4541682 hash collisions in 21730468 relations (17360553 unique)
Msieve: matrix is 2300296 x 2300521 (647.2 MB)

Sieving start time: 2024/06/17 02:25:36
Sieving end time  : 2024/06/17 20:29:17

Total sieving time: 18hrs 3min 41secs.

Total relation processing time: 2hrs 39min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 49sec.

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

3599005817372234710783184884987922771103155932350147528105486545681781986589848721677297462126420095773780647699809288156241154759368844913487347610930514662685012451247122770071568989<184>

813396404385019452096533042284027106459<39>

4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=848913723
Step 1 took 41628ms
Step 2 took 14884ms
********** Factor found in step 2: 813396404385019452096533042284027106459
Found probable prime factor of 39 digits: 813396404385019452096533042284027106459
Composite cofactor 4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671 has 145 digits

4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671<145>

63080138615746493546294458967928472856206467080465076112154057<62>
70143536982425912590518964101872095739197078958058241476852870958276419548703075503<83>

CADO:



STA:Wed 03 Apr 2024 21:48:35 AEDT (4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671 - C145)



/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671 2>&1 | tee -a log-57



Debug:root: Looking for parameter file for c145 in directory /home/vboxuser/Math/cado-nfs/parameters/factor

Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145

Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c145

Info:root: No database exists yet

Info:root: Created temporary directory /tmp/cado.d3nzw8yo

Info:Database: Opened connection to database /tmp/cado.d3nzw8yo/c145.db

Info:root: Set tasks.threads=20 based on --server-threads 20

Info:root: tasks.threads = 20 [via tasks.threads]

Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]

Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]

Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]

Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]

Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu

Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671

Debug:root: Root parameter dictionary:

N = 4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671

name = c145

===

Info:Polynomial Selection (root optimized): Best polynomial is:

n: 4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671

skew: 608555.875

c0: -1064585707362602472081240723854610

c1: 25071746979086381999260514885

c2: 28242109620994217915788

c3: -79695597000611405

c4: -52409552378

c5: 55440

Y0: -11040776112258426043838152196

Y1: 303407833568615935963

# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=2.684e+14) = 5.166e-07

# f(x) = 55440*x^5-52409552378*x^4-79695597000611405*x^3+28242109620994217915788*x^2+25071746979086381999260514885*x-1064585707362602472081240723854610

# g(x) = 303407833568615935963*x-11040776112258426043838152196

===

Debug:Command: Process with PID 594593 finished successfully

Info:Square Root: finished

Info:Square Root: Factors: 70143536982425912590518964101872095739197078958058241476852870958276419548703075503 63080138615746493546294458967928472856206467080465076112154057

Debug:Square Root: Exit SqrtTask.run(sqrt)

Info:Complete Factorization / Discrete logarithm: Square Root

Info:Square Root: Total cpu/real time for sqrt: 5591.89/1545.66

Info:HTTP server: Got notification to stop serving Workunits

Info:Polynomial Selection (root optimized): Aggregate statistics:

Info:Polynomial Selection (root optimized): Total time: 10782.8

Info:Polynomial Selection (root optimized): Rootsieve time: 10780.9

Info:Lattice Sieving: Aggregate statistics:

Info:Lattice Sieving: Total number of relations: 85076651

Info:Lattice Sieving: Average J: 7949.55 for 419752 special-q, max bucket fill -bkmult 1.0,1s:1.366150

Info:Lattice Sieving: Total time: 2.16927e+06s

Info:Polynomial Selection (size optimized): Aggregate statistics:

Info:Polynomial Selection (size optimized): potential collisions: 133692

Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 92418/44.080/54.033/65.950/2.329

Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 78626/42.440/46.889/57.590/1.248

Info:Polynomial Selection (size optimized): Total time: 141317

Info:Generate Free Relations: Total cpu/real time for freerel: 1610.86/125.94

Info:Square Root: Total cpu/real time for sqrt: 5591.89/1545.66

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1877.42/3306.44

Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2325.7000000000003s

Info:Generate Factor Base: Total cpu/real time for makefb: 21.03/12.6572

Info:Quadratic Characters: Total cpu/real time for characters: 142.62/36.9451

Info:Filtering - Singleton removal: Total cpu/real time for purge: 801.81/198.558

Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 989.7/4039.78

Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:

Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4039.1s

Info:Filtering - Merging: Total cpu/real time for merge: 840.21/460.322

Info:Filtering - Merging: Total cpu/real time for replay: 60.3/59.4322

Info:Linear Algebra: Total cpu/real time for bwc: 114436/22298.7

Info:Linear Algebra: Aggregate statistics:

Info:Linear Algebra: Krylov: CPU time 58013.19, WCT time 12631.1, iteration CPU time 0.06, COMM 0.07, cpu-wait 0.03, comm-wait 0.01 (72000 iterations)

Info:Linear Algebra: Lingen CPU time 16290.01, WCT time 1594.53

Info:Linear Algebra: Mksol: CPU time 34160.88,  WCT time 7083.74, iteration CPU time 0.09, COMM 0.07, cpu-wait 0.03, comm-wait 0.01 (36000 iterations)

Info:HTTP server: Shutting down HTTP server

Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 2.39524e+06/262643 [3d 00:57:23]

Info:root: Cleaning up computation data in /tmp/cado.d3nzw8yo

70143536982425912590518964101872095739197078958058241476852870958276419548703075503 63080138615746493546294458967928472856206467080465076112154057



END:Sat 06 Apr 2024 22:46:02 AEDT (4424664035850167082849457643010981129223689283793146776428000673755739963181642707852174924994065203801200544914842122520334752603792234038765671 - C145)

836157062960853048531184037711143973286342181876411467686990510202353782508170526565258872736819001696700491536372328529611222720932432571278632243444148167580909578998801067760190351275646343<192>

248299347545604440992940464363966801<36>
3367536287252138021134381352443770419259395025217718048378035773746594707603981592570861926308392784178229957750460748866167787535702452528247058687214553943<157>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3290344519
Step 1 took 49114ms
Step 2 took 21021ms
********** Factor found in step 2: 248299347545604440992940464363966801
Found prime factor of 36 digits: 248299347545604440992940464363966801
Prime cofactor 3367536287252138021134381352443770419259395025217718048378035773746594707603981592570861926308392784178229957750460748866167787535702452528247058687214553943 has 157 digits

51134734200069829292888869578272043136513306060839852594210152720125682362580217225881807347699908318860203788058045712581604390788640093588145338857<149>

2722010401834150645277864311515109288622528199441888360518829374526457180632197735279527022123463621977044396972946930166509329502707758322361656843002155103584824581316594732108421171<184>

102270450326102693696426133351627456321707120188960340694811702039796048456654296909043898778232821165162712099590783825151801562490500634944972609538300842613256039540488558960874685794892010549830551<201>

846757538207352333746385790995456422965716646014043783560512185047501032631144155307724080958281701776125567947129285419248244527054935976869062370921106980586534489880214787277984304006608839322593969434118133<210>

1886521020605731527963492037721322927418275615238455989517192440464513228315048770304802348660024249968964594891432756329411048768483673671611103479503407926610222298618892493003375733<184>

4297704137864986110014305101808178803687135728696070255139004755032722636680179089699434698475467367362680291413932370336812516885858806135361135537007915664179616779883349<172>

20707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<215>

9610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421<214>

7928639576246535189146781150630848753<37>
1212172227916323095516563803739850465033967971500784914810102681977243738527729782478364283528820266938873264167170698908547137778909578890731725307613414033875702058599751763557<178>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 10:09:19 2022 
Input number is 9610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421003281762775433661509610876699484294421 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2171253509
Step 1 took 0ms
Step 2 took 5489ms
********** Factor found in step 2: 7928639576246535189146781150630848753
Found prime factor of 37 digits: 7928639576246535189146781150630848753
Prime cofactor 1212172227916323095516563803739850465033967971500784914810102681977243738527729782478364283528820266938873264167170698908547137778909578890731725307613414033875702058599751763557 has 178 digits

372306649079198699847447126697962513350649644871909838252398177547368628082818503977256344223392506647248315124237291835457961232409328089898578272590113849126268923593717381520652070041327972847697795171<204>

1201179106707961541759339212908101279884578972825576712779169109604496951075959456933434377667530892043374942605578601956601510476485124246773129229972996247730344392894175902066266995464466586950601227674979<208>

1681490709521995573040945221202479419167854256915573987431400756125885463607137699261730812013956405628164845140039084267838312002189340461468869699355305116265232253703318908612700228441448544620377839<202>

266764699241925647207645004611139529189105116491894668581245518403417105692062688676266350066265433742098734559379844309155905024923610148642176963063249536618663696464580461514283633785356199780767375862471<207>

3261649105338750075342209881192204768763<40>
81788288876715283015874043911431579578435458920206942749550354884987785950604535972434463611854269734234954666677843658603598415681287187357425755469158641719802724517<167>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1767444374
Step 1 took 59137ms
Step 2 took 23810ms
********** Factor found in step 2: 3261649105338750075342209881192204768763
Found prime factor of 40 digits: 3261649105338750075342209881192204768763
Prime cofactor 81788288876715283015874043911431579578435458920206942749550354884987785950604535972434463611854269734234954666677843658603598415681287187357425755469158641719802724517 has 167 digits

1213842865685856439106797371599452032819652825893912103632376877202341147207253885406026012200760676941032596003890922531775834844865508683504417149076580385734444869<166>

7108781638963846916726189102176924039180029890498751554554870743039925316984916573594422903778430384044885149651714762430965810929530322689615009459636654628208506156787646052168441823589926426006867727361594451479<214>

40117882274660096461937058662220370589459862655616078052234383276478321934359205527682555433239726083883797459457417597900349787634552618376987613518643774744400618795219063071467623829194535989361287878416209603<212>

22223663862270877413999644383556497339<38>

1805187592976882648413737877072119281293422568733814762186886900965374055081026360053152862734153501769632075832832658340778422269768779129988994865550047849663806605652455577<175>

Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 10:26:52 2022 
Input number is 40117882274660096461937058662220370589459862655616078052234383276478321934359205527682555433239726083883797459457417597900349787634552618376987613518643774744400618795219063071467623829194535989361287878416209603 (212 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1744161621
Step 1 took 0ms
Step 2 took 5174ms
********** Factor found in step 2: 22223663862270877413999644383556497339
Found prime factor of 38 digits: 22223663862270877413999644383556497339
Composite cofactor 1805187592976882648413737877072119281293422568733814762186886900965374055081026360053152862734153501769632075832832658340778422269768779129988994865550047849663806605652455577 has 175 digits

1550512098808601313309311261520295392883380060437887540032513117954342534323405736920197290661563986445655296451198825389641614516787548949201112287471146288829983651551632835819359177<184>

3083462574992491310187410435364581047009<40>
502847711330622211556001610530793857306663305236812444797626563061071747891340131079087743451166788764947572502976015509389303117808409746085353<144>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3583883120
Step 1 took 42464ms
Step 2 took 14792ms
********** Factor found in step 2: 3083462574992491310187410435364581047009
Found probable prime factor of 40 digits: 3083462574992491310187410435364581047009
Probable prime cofactor 502847711330622211556001610530793857306663305236812444797626563061071747891340131079087743451166788764947572502976015509389303117808409746085353 has 144 digits

15703072516788882531059528432902303142835913616249079838250693041700466572754632980895105773598462477699722017316275966562413585225936573375095846192617717508619454804642287838085236277621130054378591120333793701459313339109<224>

17848335491094392309191322501549153086406637911139636405709068179583243997913417551550761675944033591194315908177574055764880617513571762375785237434451<152>

4025424322832243396185763030621770359640376134398602092005140810067925713326604700305225562295305794532284640596948294960736306864300001181611<142>

10397834795344320589253169305656443491584205469615713<53>
387140630916221717679718706707461261237408171158253369860276171418162912634471396543588747<90>

Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 970.86/338.693
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 241.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 612.7/161.369
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5902.18
Info:Polynomial Selection (root optimized): Rootsieve time: 5900.46
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 237.15/80.6515
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.2s
Info:Filtering - Merging: Total cpu/real time for merge: 1316.47/34.4232
Info:Filtering - Merging: Total cpu/real time for replay: 83.41/63.2475
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48016/42.730/50.976/58.160/0.926
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39460/41.820/45.603/51.700/1.111
Info:Polynomial Selection (size optimized): Total time: 24359.8
Info:Generate Factor Base: Total cpu/real time for makefb: 16.65/0.513352
Info:Generate Free Relations: Total cpu/real time for freerel: 672.12/15.2405
Info:Quadratic Characters: Total cpu/real time for characters: 119.96/16.4497
Info:Square Root: Total cpu/real time for sqrt: 3447.12/131.093
Info:Linear Algebra: Total cpu/real time for bwc: 130718/2869.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 75831.99, WCT time 1758.04, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 13995.25, WCT time 120.66
Info:Linear Algebra: Mksol: CPU time 39953.95,  WCT time 933.0, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (33280 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34934048
Info:Lattice Sieving: Average J: 3806.49 for 1239768 special-q, max bucket fill -bkmult 1.0,1s:1.082880
Info:Lattice Sieving: Total time: 574071s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.29412e+06/13008.5
Info:root: Cleaning up computation data in /tmp/cado.wikmfp62
10397834795344320589253169305656443491584205469615713 387140630916221717679718706707461261237408171158253369860276171418162912634471396543588747

Cado-NFS

2132645638862934162176987839304142877359649349136069776940268541037955553236872353103662125069534205142913457593260889863624143358297282658951192164622605644194481305510675754904835873198787324404763862792883706977<214>

617977778175684400288825286502756009945861215949457548726959363475370110633579045490039226324892046324068548704478669381781316509735984618489774367441388601420872755206855915397592407650750950948140759330591<207>

378910268484911026046680007635134327109612031188418417264453065484806724063994136760988892217754223236814537230697151088288513886017026305189227880498503221264059812076402579332766372671113520610750120525811376730906004579934623746447<234>

3298224636489808292795076032321088894265369331793260828141533654373898346974757965078193704682054290789373824403385645143922214549607049586709843641945250806687783980919839658684848841551019137282054130271586208069007082477<223>

142750689073411322621981851173452674145170905543814750014764355210203806267715742503706266501765037918874488248662325565106334550992891094667801234456067975809847281123984337763846128580671509122455800370673015077194489<219>

645080084332420781018911860033355360458164196481953491299285691809056295037603448818402089430126813304383397841341766575411435224519336668869379149752981528682463261902514238962837093678215173542276346014663771673117467509990874476855785267<240>

862758745824277772771337288056847367256111552047715017888760990929997368660893414364129532764666040878509868195510950032093546186704966201409917499727254761045702196436568771195120357825527144966373<198>

253086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<246>

6706494522439820879031994344745249835689173211405069268595334056772361202390799102172273673727089197267851749829358686738853138876011778131<139>

5131923924419445337045030822546727037982200791417930795333<58>
1306818772298636638680698282104379362479244378674055729771223020189149405204967607<82>

Number: 45554_247
N = 6706494522439820879031994344745249835689173211405069268595334056772361202390799102172273673727089197267851749829358686738853138876011778131 (139 digits)
Divisors found:
r1=5131923924419445337045030822546727037982200791417930795333 (pp58)
r2=1306818772298636638680698282104379362479244378674055729771223020189149405204967607 (pp82)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 39.22 hours.
Factorization parameters were as follows:
n: 6706494522439820879031994344745249835689173211405069268595334056772361202390799102172273673727089197267851749829358686738853138876011778131
# norm 2.148159e-13 alpha -7.679570 e 2.264e-11 rroots 5
skew: 13741835.71
c0: -9071903578166751705937511217578744400
c1: 3831045641077570197608512570238
c2: 1867046629107987252072199
c3: 31133092017164396
c4: -9284788266
c5: 108
Y0: -2283573783566976443575413629
Y1: 209395783211441
type: gnfs
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 25277198
Relations: 3951018 relations
Pruned matrix : 2396676 x 2396905
Total sieving time: 36.23 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.62 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,56,56,2.5,2.5,100000
total time: 39.22 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

60498035317704303058292432736273733568179969956862802204392802743572612676979121920378435472763140894865614292533800081806563678767071562785941083240408610622722012950690102907449727247755656370144636586079191027879455708779377177<230>

920716025247837597963045989273782680469<39>

65707594588048460053316506622399127375881755482499906696749204110887851944255595989665861344184862715936267687520736958403635113232947050836705574468773697251423005088433150946531075590249333<191>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2926054104
Step 1 took 9547ms
Step 2 took 4438ms
********** Factor found in step 2: 920716025247837597963045989273782680469
Found prime factor of 39 digits: 920716025247837597963045989273782680469
Composite cofactor 65707594588048460053316506622399127375881755482499906696749204110887851944255595989665861344184862715936267687520736958403635113232947050836705574468773697251423005088433150946531075590249333 has 191 digits

GMP-ECM

3654953487058583300381255767185651510207073821821310514531816807752612313062964830513492024310209794092683385107471838357019454342930606832517808890861775570632515869593203122254218510622468114414433506672569950361555670512501425859<232>

1339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<250>

351793017324449924027537558402889462805699951023259174937125366790911461137970162966244582899011739932883457212552309207276443219573619735900016742422441428712731567789343285705644119928620154918737518826299552141<213>

9414660002967295891875524877033683500105275277<46>
37366513205317284203538633339407598626839194995225023925018475837417318632991327681837870027630582414544879866973057658758462791594498429636878343037244823484168684033<167>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2595602406
Step 1 took 9515ms
Step 2 took 4282ms
********** Factor found in step 2: 9414660002967295891875524877033683500105275277
Found prime factor of 46 digits: 9414660002967295891875524877033683500105275277
Prime cofactor 37366513205317284203538633339407598626839194995225023925018475837417318632991327681837870027630582414544879866973057658758462791594498429636878343037244823484168684033 has 167 digits

GMP-ECM

2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707<253>

27182726049730952287140395378666229343<38>

76177314479743507524451135883075367692969692732496707126030486392223588627676102724700820611057890775365371123723086610908494664956905701817041380024588610799853287701580731735955272755861837289294344255004417210349<215>

Resuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 12:19:57 2022 
Input number is 2070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1315107837
Step 1 took 0ms
Step 2 took 4577ms
********** Factor found in step 2: 27182726049730952287140395378666229343
Found prime factor of 38 digits: 27182726049730952287140395378666229343
Composite cofactor 76177314479743507524451135883075367692969692732496707126030486392223588627676102724700820611057890775365371123723086610908494664956905701817041380024588610799853287701580731735955272755861837289294344255004417210349 has 215 digits

513470945718938410632314836058867557866309056678081013370271916354297257928416414604663634755909689620548024133866421340751343414607383074259585932178814711321416270236967604887818061994139151968740779778456036736814164033151758817<231>

22777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<257>

382176754254813281181135506566308475306866116966777665020534630122669646037597498750011227374294660151874406053396864741482810672347159988489648986551634207851491103592851701782723257580156803054418663138036524594745740134808196828367726332012242067<249>

8212011495811852924078783758246531676149450457758568649241876616340372580221425997862903402350609750735338149508553937179892502869096389590994335635033102046984077849938993111876042292464045960218615929401331707874358103<220>

28188899374840441624524397259490417759901349590057558101027697305189244818365705082072963147727322555842305421319372978527612401500092127358757646892031008573910320473361078776076779508838872408302917232527738534387367034823753575138033256529921<245>

258882159198388820604475252653310265352822940291061557459690516899793651493919246318725512364446069357022088439272037799969570060440945465737189990959283592492479692813662857649681130618050833992839614216782748139628903183442251<228>

83469726206182783382609680322617941061711806445552773677646459327120205281967333971932690357843127986402365659027379363695811486510822183442841818066681203659381712057859409069321030738031109535566998936158690467389476168463<224>

35172127200399565837711877177133473919527274762395332514202525594976446383062163247312987257974571222981041015765393654050039273469172559387572007876072208338230037630369107693634636759645219324605315100035748447382424181299265451983325638496302233215254451<257>

75453671730531892626914896474694387076803<41>
466142023227311914042252235860740893003877639301185700866161777834827019770119960821431224720618601978908834890765002780701898073055371928050995595524758296368421463930367876399299624172139013813965735672267837889617<216>

esuming ECM residue saved by @e183e8cb073f with GMP-ECM 7.0.5-dev on Wed Jun  8 12:11:00 2022 
Input number is 35172127200399565837711877177133473919527274762395332514202525594976446383062163247312987257974571222981041015765393654050039273469172559387572007876072208338230037630369107693634636759645219324605315100035748447382424181299265451983325638496302233215254451 (257 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3119476323
Step 1 took 0ms
Step 2 took 4984ms
********** Factor found in step 2: 75453671730531892626914896474694387076803
Found prime factor of 41 digits: 75453671730531892626914896474694387076803
Prime cofactor 466142023227311914042252235860740893003877639301185700866161777834827019770119960821431224720618601978908834890765002780701898073055371928050995595524758296368421463930367876399299624172139013813965735672267837889617 has 216 digits

67838364470702477654770748174547288957338329561815574388227081981972529773230392375220495997701480276197190808717468225189361949904551083310370239771721070556565126170837771299029862893633193091911<197>

23364722049150323128219169535121964785395060461216643081170789002652643737658388383687237917706196345634812420844118464811692169101789230056240626359161854722960945494057112225774071420749644179987110973034037895421175198513810468518831060617129319340896996943<260>

10025161203475405134095522948750839614781476981164148070076114858922526741981064079414982296462603717282454707966320476875220846937519255904970770620260954954957884466698404017984409307975754816515827815291115645602686393409<224>

45060924549045102531731889566618557134719262813649846382012793240154731136889440975836873049930835075900539833654713920177937750958189086604521140648956861817271309320673186409753660841429036022887570065727218701194430638003576727656406942525452469193521431<257>

7618512298276311747497451358533151033598351490421769241681864469728818772589167026465715467953830046767776815771933201293619274736991798388396321302345773659919327791119575671342181146318042995528115380545666413317313<217>

36148569320813397678981140330246364842819073792816502664785466172290684249023806526350633862851993038629052908132150085384039694181603653187090079283261664358939791410996432169978750385194532023380449555252268806418262528981589876106494346919284277678174651153<260>

491270561862762619552698249281625242265584254311665442600159637051034333861909304154718517269333307720163747044519295385826561030842653652530845123185769867449426984772551303642392818057662237555806927918072787859045120092922125302688268700783691335731658701744976021<267>

134537790780596619041121504934810640818744986570116050836384828172716343353351432391829481473554184074427396636556918177215831537020833067195565615968863039395143885053275186583412625854526529389052126651638481907944746183481479532187<234>

2692697225303697355968747491163437035047741797<46>
49963950464361138631671280348506191912066172038096220201885387745979709098327139879607143891610100706973312831355406507102552373859330400609294453076801815257532011541471969475075955791871<188>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1579503645
Step 1 took 11609ms
Step 2 took 2469ms
********** Factor found in step 2: 2692697225303697355968747491163437035047741797
Found prime factor of 46 digits: 2692697225303697355968747491163437035047741797
Prime cofactor 49963950464361138631671280348506191912066172038096220201885387745979709098327139879607143891610100706973312831355406507102552373859330400609294453076801815257532011541471969475075955791871 has 188 digits
 

GMP-ECM

83539103388984598213364273609178556206553375335734996979124144498964508363024251324287336161021955938681368994652490838786103802356457173130549617249705018332085727762696524569137599714464159632093462668654701723570223457280627037826909447275421655168568605508601893111<269>

788930693231588761612311931009659467206053950065613319751485561673918280554099159152132415112462549850152823527450450242303073691246986810927839037449670322922730396088924679480196664037473018064953036492306025059481625899939256317589690899110591902395126267305151<264>

227777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<279>

65354778708617430880976778663771587196041710837972599894713844972089449183797007673831726528877546670110502202065371765369483774661589130386027357370936075840465688014151041533766086190096896867722561557728468293236167058434671714921<233>

36079394395428314620223389121913517015602286687107254411719806092473594077952017455883227857051118111625335171696874617446139647498856931232493505551364675962204851579222703930778700912985478515174732393716763767832491480431799839608064592111809157<248>

95423134373715458964645263252548201<35>

378099028419322956636591474007394239789311350575535190533923570835511820551604754272379979864788623844110054816112102214746945566085825127622753282950416906615381685482809927183332398672544682877614454977500621757<213>

Resuming ECM residue saved by @83c9c4a75368 with GMP-ECM 7.0.5-dev on Mon Aug 22 16:33:27 2022 
Input number is 36079394395428314620223389121913517015602286687107254411719806092473594077952017455883227857051118111625335171696874617446139647498856931232493505551364675962204851579222703930778700912985478515174732393716763767832491480431799839608064592111809157 (248 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1777597545
Step 1 took 0ms
Step 2 took 8796ms
********** Factor found in step 2: 95423134373715458964645263252548201
Found prime factor of 35 digits: 95423134373715458964645263252548201
Composite cofactor 378099028419322956636591474007394239789311350575535190533923570835511820551604754272379979864788623844110054816112102214746945566085825127622753282950416906615381685482809927183332398672544682877614454977500621757 has 213 digits