1601259295445910003799598328176735602236335016012592954459100037995983281767356022363350160125929544591<103>

11540848062700171179067164732174210781<38>
138747108249449482911355717080423930076589914934333315761543346011<66>

N=1601259295445910003799598328176735602236335016012592954459100037995983281767356022363350160125929544591
  ( 103 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=11540848062700171179067164732174210781 (pp38)
 r2=138747108249449482911355717080423930076589914934333315761543346011 (pp66)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1601259295445910003799598328176735602236335016012592954459100037995983281767356022363350160125929544591
m: 100000000000000000000000000
deg: 4
c4: 295
c0: -7
skew: 0.39
# Murphy_E = 1.933e-07
type: snfs
lss: 1
rlim: 420000
alim: 420000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 420000/420000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [210000, 350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 31050 x 31275
Total sieving time: 0.23 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,106.000,4,0,0,0,0,0,0,0,0,420000,420000,25,25,44,44,2.2,2.2,20000
total time: 0.23 hours.
 --------- CPU info (if available) ----------
[    0.117346] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071557] Memory: 15863944K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 625324K reserved, 0K cma-reserved)
[    0.134106] x86/mm: Memory block size: 128MB
[    0.113352] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130780] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

734322691392200064242707221249960039160845023686840620759941655569625174481671584640936686143933041999217<105>

196069234745441517504339135454401099135795566299<48>
3745221387463351592337632694147365548417276326992712683683<58>

Number: 1
N=734322691392200064242707221249960039160845023686840620759941655569625174481671584640936686143933041999217
  ( 105 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=196069234745441517504339135454401099135795566299 (pp48)
 r2=3745221387463351592337632694147365548417276326992712683683 (pp58)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.01 hours.
Scaled time: 31.00 units (timescale=7.734).
Factorization parameters were as follows:
n: 734322691392200064242707221249960039160845023686840620759941655569625174481671584640936686143933041999217
m: 1000000000000000000000000000000000
deg: 4
c4: 2950
c0: -7
skew: 0.22
# Murphy_E = 5.81e-09
type: snfs
lss: 1
rlim: 1270000
alim: 1270000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1270000/1270000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [635000, 1735001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 213374 x 213600
Total sieving time: 3.97 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135.000,4,0,0,0,0,0,0,0,0,1270000,1270000,26,26,47,47,2.3,2.3,100000
total time: 4.01 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

1308554950977779386864245679368419822833193185205248492278184072588634908953302355180095071651797462218811931<109>

361994626397906311335158489994957611822761<42>
3614846341778038475532381984253937831305901304248046902149582151971<67>

n: 1308554950977779386864245679368419822833193185205248492278184072588634908953302355180095071651797462218811931
skew: 10683033.10
c0: -3807244756971359571063115051500
c1: -815294770237939711355600
c2: 85742898133754747
c3: 4324393752
c4: 756
Y0: -203970326170953175873911679
Y1: 181284660981521
rlim: 3060000
alim: 3060000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5

nfs: commencing nfs on c109: 1308554950977779386864245679368419822833193185205248492278184072588634908953302355180095071651797462218811931
nfs: commencing poly selection with 6 threads
nfs: setting deadline of 511 seconds
nfs: completed 6 ranges of size 250 in 587.6708 seconds
nfs: best poly = # norm 8.334072e-015 alpha -5.751944 e 3.661e-009 rroots 2
nfs: commencing lattice sieving with 6 threads
nfs: commencing msieve filtering
nfs: commencing msieve linear algebra
nfs: commencing msieve sqrt
prp67 = 3614846341778038475532381984253937831305901304248046902149582151971
prp42 = 361994626397906311335158489994957611822761
NFS elapsed time = 8126.8874 seconds.

YAFU v1.34

Windows 7 SP!.

32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<140>

63214426923341381498142427834138053278671425110033045717<56>
518517360246365948765053181158446583591758319067328858444606150868575169176457659181<84>

Number: n
N=32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 140 digits)
SNFS difficulty: 141 digits.
Divisors found:

Tue Nov  8 23:37:36 2022  p56 factor: 63214426923341381498142427834138053278671425110033045717
Tue Nov  8 23:37:36 2022  p84 factor: 518517360246365948765053181158446583591758319067328858444606150868575169176457659181
Tue Nov  8 23:37:36 2022  elapsed time 00:02:45 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 59x10^139-14 = 65(138)4
#
n: 32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 50000000000000000000000000000000000
deg: 4
c4: 236
c0: -35
skew: 0.62
# Murphy_E = 3.172e-09
type: snfs
lss: 1
rlim: 1580000
alim: 1580000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1580000/1580000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 13590000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 723834 hash collisions in 6708950 relations (6662853 unique)
Msieve: matrix is 207608 x 207833 (70.0 MB)

Sieving start time : 2022/11/08 22:40:35
Sieving end time  : 2022/11/08 23:31:08

Total sieving time: 0hrs 50min 33secs.

Total relation processing time: 0hrs 1min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1580000,1580000,26,26,48,48,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

180026577390112766141807571910414251134589629891205302685228462210001902531641550635485062673840442314723691857705780282078319181497<132>

379339585568706314763725693764987431945211477006466194913981<60>
474578937287066224983598405898720472730626009155358695740077607835128237<72>

Number: n
N=180026577390112766141807571910414251134589629891205302685228462210001902531641550635485062673840442314723691857705780282078319181497  ( 132 digits)
SNFS difficulty: 145 digits.
Divisors found:

Wed Nov  9 05:41:24 2022  p60 factor: 379339585568706314763725693764987431945211477006466194913981
Wed Nov  9 05:41:24 2022  p72 factor: 474578937287066224983598405898720472730626009155358695740077607835128237
Wed Nov  9 05:41:24 2022  elapsed time 00:03:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 59x10^143-14 = 65(142)4
#
n: 180026577390112766141807571910414251134589629891205302685228462210001902531641550635485062673840442314723691857705780282078319181497
m: 500000000000000000000000000000000000
deg: 4
c4: 236
c0: -35
skew: 0.62
# Murphy_E = 1.996e-09
type: snfs
lss: 1
rlim: 1840000
alim: 1840000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1840000/1840000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 28120000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 588377 hash collisions in 7556959 relations (7787897 unique)
Msieve: matrix is 297731 x 297956 (99.2 MB)

Sieving start time : 2022/11/09 03:31:47
Sieving end time  : 2022/11/09 05:36:58

Total sieving time: 2hrs 5min 11secs.

Total relation processing time: 0hrs 1min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 11sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1840000,1840000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

105734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767<144>

633543363043979862413037881528658842401658219903680768475563<60>
166894285684040254104691326256481854642029330454366238984864993026590366590039896909<84>

Number: n
N=105734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:

Tue Nov  8 22:29:32 2022  p60 factor: 633543363043979862413037881528658842401658219903680768475563
Tue Nov  8 22:29:32 2022  p84 factor: 166894285684040254104691326256481854642029330454366238984864993026590366590039896909
Tue Nov  8 22:29:32 2022  elapsed time 00:05:06 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 59x10^144-14 = 65(143)4
#
n: 105734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767025089605734767
m: 1000000000000000000000000000000000000
deg: 4
c4: 59
c0: -14
skew: 0.70
# Murphy_E = 2.55e-09
type: snfs
lss: 1
rlim: 1880000
alim: 1880000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1880000/1880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6540000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1751890 hash collisions in 14459155 relations (13647909 unique)
Msieve: matrix is 501389 x 501637 (47.4 MB)

Sieving start time : 2022/11/08 21:55:47
Sieving end time  : 2022/11/08 22:24:07

Total sieving time: 0hrs 28min 20secs.

Total relation processing time: 0hrs 1min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,145,4,0,0,0,0,0,0,0,0,1880000,1880000,26,26,49,49,2.3,2.3,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<146>

268278910342926752022519381795468332924723<42>
3360579618546956445911076428411675148709067<43>
36356225099937813090570989314871383033910337962232259380964097<62>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 32777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (146 digits)
Using B1=26120000, B2=96191014936, polynomial Dickson(12), sigma=1:3079484263
Step 1 took 51319ms
Step 2 took 17638ms
********** Factor found in step 2: 268278910342926752022519381795468332924723
Found prime factor of 42 digits: 268278910342926752022519381795468332924723
Composite cofactor 122177989078156299407071510357327965598231392775044239237681170898185969303971111089904440477643425367499 has 105 digits

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 122177989078156299407071510357327965598231392775044239237681170898185969303971111089904440477643425367499 (105 digits)
Using B1=26230000, B2=144285141016, polynomial Dickson(12), sigma=1:3546228717
Step 1 took 33155ms
Step 2 took 15947ms
********** Factor found in step 2: 3360579618546956445911076428411675148709067
Found prime factor of 43 digits: 3360579618546956445911076428411675148709067
Prime cofactor 36356225099937813090570989314871383033910337962232259380964097 has 62 digits

1087269561148632363904454147591351103343182585132390751833576256822154447367668503127206289425978982537682403333289052293<121>

391716877206099152155461163844556362461008376381724719<54>
2775651559625226285020932479644299088944809046428283178336697649547<67>

1087269561148632363904454147591351103343182585132390751833576256822154447367668503127206289425978982537682403333289052293=391716877206099152155461163844556362461008376381724719*2775651559625226285020932479644299088944809046428283178336697649547

cado polynomial
n: 1087269561148632363904454147591351103343182585132390751833576256822154447367668503127206289425978982537682403333289052293
skew: 13696.868
c0: -265553897614887449237553580
c1: 37686543301509900851938
c2: 1144913800512210265
c3: -300967837608397
c4: 14010961764
c5: 702000
Y0: -113079271096067283145168
Y1: 29812251138952379
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.396e-06
# f(x) = 702000*x^5+14010961764*x^4-300967837608397*x^3+1144913800512210265*x^2+37686543301509900851938*x-265553897614887449237553580
# g(x) = 29812251138952379*x-113079271096067283145168

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

cado log (extracts)
Info:Square Root: Factors: 391716877206099152155461163844556362461008376381724719 2775651559625226285020932479644299088944809046428283178336697649547
Info:Square Root: Total cpu/real time for sqrt: 1528.66/201.261
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19900/35.340/42.903/47.770/1.042
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15840/35.040/37.996/43.400/0.849
Info:Polynomial Selection (size optimized): Total time: 3548.26
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2148.33
Info:Polynomial Selection (root optimized): Rootsieve time: 2099.23
Info:Generate Factor Base: Total cpu/real time for makefb: 5.87/0.958226
Info:Generate Free Relations: Total cpu/real time for freerel: 149.64/18.8205
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13421793
Info:Lattice Sieving: Average J: 1901.24 for 270913 special-q, max bucket fill -bkmult 1.0,1s:1.155380
Info:Lattice Sieving: Total time: 70035.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 36.03/56.8771
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 169.06/121.734
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 115.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.19/48.504
Info:Filtering - Merging: Merged matrix has 771265 rows and total weight 78026703 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.83/12.199
Info:Filtering - Merging: Total cpu/real time for replay: 18.7/15.0018
Info:Linear Algebra: Total cpu/real time for bwc: 4909.56/1303.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 815.42, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Linear Algebra: Lingen CPU time 83.98, WCT time 22.78
Info:Linear Algebra: Mksol: WCT time 443.25, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12288 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 30.56/7.62426
Info:Square Root: Total cpu/real time for sqrt: 1528.66/201.261
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 163935/20254.1
Info:root: Cleaning up computation data in /tmp/cado.9x5h6pn0
391716877206099152155461163844556362461008376381724719 2775651559625226285020932479644299088944809046428283178336697649547

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)

103072503994496277685012524182731127861266506013319762702637922365789991345403647648566785566914494894067670767554732373116874086978518641972591099497111<153>

11843483685502525575532291668259627727<38>
8702887320279434675946566113848540307468777084487082885738590815987917722562428969486675966447199163859753094065593<115>

Number: n
N=103072503994496277685012524182731127861266506013319762702637922365789991345403647648566785566914494894067670767554732373116874086978518641972591099497111  ( 153 digits)
SNFS difficulty: 158 digits.
Divisors found:

Wed Nov  9 18:05:53 2022  p38 factor: 11843483685502525575532291668259627727
Wed Nov  9 18:05:53 2022  p115 factor: 8702887320279434675946566113848540307468777084487082885738590815987917722562428969486675966447199163859753094065593
Wed Nov  9 18:05:53 2022  elapsed time 00:07:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 59x10^157-14 = 65(156)4
#
n: 103072503994496277685012524182731127861266506013319762702637922365789991345403647648566785566914494894067670767554732373116874086978518641972591099497111
m: 1000000000000000000000000000000000000000
deg: 4
c4: 295
c0: -7
skew: 0.39
# Murphy_E = 5.552e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 35950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1180806 hash collisions in 13595523 relations (13832296 unique)
Msieve: matrix is 527213 x 527438 (178.7 MB)

Sieving start time : 2022/11/09 14:19:36
Sieving end time  : 2022/11/09 17:57:42

Total sieving time: 3hrs 38min 6secs.

Total relation processing time: 0hrs 3min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 21sec.

Prototype def-par.txt line would be:
snfs,158,4,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

296400620141116185817769498854973920798518569131921381543915857716368328161578061389110124269741832216211220972326487<117>

1572425400979026327708844735730588348093018654481207770741<58>
188499002850355062491617933363967787071145606511655764449307<60>

296400620141116185817769498854973920798518569131921381543915857716368328161578061389110124269741832216211220972326487=1572425400979026327708844735730588348093018654481207770741*188499002850355062491617933363967787071145606511655764449307

cado polynomial
n: 296400620141116185817769498854973920798518569131921381543915857716368328161578061389110124269741832216211220972326487
skew: 68461.277
c0: 6749598956566853294822468358
c1: 229464945540565204132959
c2: -10048729964636579190
c3: -21312851776397
c4: 1033349714
c5: 5040
Y0: -40784144855522996778212
Y1: 8467893535147651
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.003e-06
# f(x) = 5040*x^5+1033349714*x^4-21312851776397*x^3-10048729964636579190*x^2+229464945540565204132959*x+6749598956566853294822468358
# g(x) = 8467893535147651*x-40784144855522996778212

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

cado log (extracts)
Info:Square Root: Factors: 1572425400979026327708844735730588348093018654481207770741 188499002850355062491617933363967787071145606511655764449307
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21901/33.830/41.622/47.300/1.061
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17445/33.650/36.830/42.000/0.852
Info:Polynomial Selection (size optimized): Total time: 2211.25
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 476.27
Info:Polynomial Selection (root optimized): Rootsieve time: 454.18
Info:Generate Factor Base: Total cpu/real time for makefb: 4.55/0.742377
Info:Generate Free Relations: Total cpu/real time for freerel: 64.96/8.18451
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7453696
Info:Lattice Sieving: Average J: 1918.25 for 176083 special-q, max bucket fill -bkmult 1.0,1s:1.240520
Info:Lattice Sieving: Total time: 32938s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.29/30.5413
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 29.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 154.66/120.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 101.89999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.73/94.1443
Info:Filtering - Merging: Merged matrix has 458029 rows and total weight 71061047 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.51/12.0553
Info:Filtering - Merging: Total cpu/real time for replay: 14.06/11.3633
Info:Linear Algebra: Total cpu/real time for bwc: 1876.86/492.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 300.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14336 iterations)
Info:Linear Algebra: Lingen CPU time 45.77, WCT time 12.46
Info:Linear Algebra: Mksol: WCT time 169.78, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 21.45/5.12025
Info:Square Root: Total cpu/real time for sqrt: 650.35/87.4105
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 81894.2/9418.7
Info:root: Cleaning up computation data in /tmp/cado.oga0wg3x
1572425400979026327708844735730588348093018654481207770741 188499002850355062491617933363967787071145606511655764449307

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)

28300034510988023937165494513191423793049492677774771005048968320487871500574292396469883755667679028290136842159<113>

388894433605574512384805845304605172195189<42>
72770479763900544542207527709043916142108923868807116256715737511731731<71>

Number: 1
N=28300034510988023937165494513191423793049492677774771005048968320487871500574292396469883755667679028290136842159
  ( 113 digits)
Divisors found:
 r1=388894433605574512384805845304605172195189 (pp42)
 r2=72770479763900544542207527709043916142108923868807116256715737511731731 (pp71)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.68 hours.
Scaled time: 106.70 units (timescale=7.800).
Factorization parameters were as follows:
name: 1
n: 28300034510988023937165494513191423793049492677774771005048968320487871500574292396469883755667679028290136842159
skew: 35432.10
# norm 5.13e+015
c5: 22680
c4: 3823440672
c3: -222350759268065
c2: -3028549281688000489
c1: 85875598264225497868377
c0: 1047816853357834581691505145
# alpha -5.54
Y1: 565341088517
Y0: -4161278606200715628286
# Murphy_E 6.49e-010
# M 576032712847173523658018520149336714434933501543974562079080169498368082167908090018219953529076996111396198012
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 429788 x 430016
Total sieving time: 13.57 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 13.68 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

34742179478967885424943864127931729979373314048040477073921923223643901330208530791027717743349126065105351553561<113>

1746108983670036915965207022002883559773504682745123<52>
19896913539695259009832424690160100846986834354831087260949907<62>

Number: 1
N=34742179478967885424943864127931729979373314048040477073921923223643901330208530791027717743349126065105351553561
  ( 113 digits)
Divisors found:
 r1=1746108983670036915965207022002883559773504682745123 (pp52)
 r2=19896913539695259009832424690160100846986834354831087260949907 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.67 hours.
Scaled time: 105.51 units (timescale=7.716).
Factorization parameters were as follows:
name: 1
n: 34742179478967885424943864127931729979373314048040477073921923223643901330208530791027717743349126065105351553561
skew: 64181.65
# norm 3.37e+015
c5: 7980
c4: -128266480
c3: 55569919261823
c2: -78462367863417427
c1: -219751051154359051380951
c0: 4445507718183063455616689190
# alpha -6.05
Y1: 709759901359
Y0: -5342825856835560845183
# Murphy_E 6.87e-010
# M 20032879801894731184720493620377955146091706013007506293086212852233070999663004276720163827441753492688837933262
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 412501 x 412733
Total sieving time: 13.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 13.67 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

375461372024945908107420134911543846251750031818760341097110856561028382334224258622884052437317042128038691612574774086801578210512918416698485427007763777523227695049<168>

7106496274307948316298268928831060352234418723<46>
52833542371977033093129087861701233509908351113481087608503145495211769883492066262648825497160560393161804864443783798563<122>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 375461372024945908107420134911543846251750031818760341097110856561028382334224258622884052437317042128038691612574774086801578210512918416698485427007763777523227695049 (168 digits)
Using B1=26470000, B2=144285831706, polynomial Dickson(12), sigma=1:1930122678
Step 1 took 62484ms
Step 2 took 25276ms
********** Factor found in step 2: 7106496274307948316298268928831060352234418723
Found prime factor of 46 digits: 7106496274307948316298268928831060352234418723
Prime cofactor 52833542371977033093129087861701233509908351113481087608503145495211769883492066262648825497160560393161804864443783798563 has 122 digits

21732121135763557935784217533900994074368733897709738126494854779478384416764977935162559508834607701781746661293891<116>

7411323942153232841597087080986727<34>
2932285959349074614482411765549131759288541865436228738634828556006052849789249733<82>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3420059681
Step 1 took 3641ms
Step 2 took 2156ms
********** Factor found in step 2: 7411323942153232841597087080986727
Found prime factor of 34 digits: 7411323942153232841597087080986727
Prime cofactor 2932285959349074614482411765549131759288541865436228738634828556006052849789249733 has 82 digits
 

GMP-ECM

7760759338346925787654372427691983660104047603143274236275705247906198236337789620879568175544309689217321826229473114411775773769847291701101536380443<151>

1334257157939053214360384956747622480857553495241016704721<58>
5816539407091886231471710940997016830586981779437480967429247289314036944735934396834085136683<94>

7760759338346925787654372427691983660104047603143274236275705247906198236337789620879568175544309689217321826229473114411775773769847291701101536380443=1334257157939053214360384956747622480857553495241016704721*5816539407091886231471710940997016830586981779437480967429247289314036944735934396834085136683

cado polynomial
n: 7760759338346925787654372427691983660104047603143274236275705247906198236337789620879568175544309689217321826229473114411775773769847291701101536380443
skew: 0.35
type: snfs
c0: -14
c5: 59
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 59*x^5-14
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6300000
tasks.lim1 = 6300000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5816539407091886231471710940997016830586981779437480967429247289314036944735934396834085136683 1334257157939053214360384956747622480857553495241016704721
Info:Square Root: Total cpu/real time for sqrt: 306.08/100.321
Info:Quadratic Characters: Total cpu/real time for characters: 44.12/19.3641
Info:Generate Free Relations: Total cpu/real time for freerel: 117.33/32.4784
Info:Square Root: Total cpu/real time for sqrt: 306.08/100.321
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22414291
Info:Lattice Sieving: Average J: 1946.18 for 1369479 special-q, max bucket fill -bkmult 1.0,1s:1.197880
Info:Lattice Sieving: Total time: 207313s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.71/1.57688
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 238.08/248.571
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 233.60000000000002s
Info:Filtering - Merging: Merged matrix has 1284423 rows and total weight 219583051 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 311.19/87.3007
Info:Filtering - Merging: Total cpu/real time for replay: 46.14/41.0822
Info:Linear Algebra: Total cpu/real time for bwc: 26464.6/7079.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16821.1, WCT time 4456.59, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40192 iterations)
Info:Linear Algebra: Lingen CPU time 248.98, WCT time 64.63
Info:Linear Algebra: Mksol: CPU time 9173.78,  WCT time 2474.23, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (20224 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.49/92.5486
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.13/90.0465
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.9s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 409991/52135.3
5816539407091886231471710940997016830586981779437480967429247289314036944735934396834085136683 1334257157939053214360384956747622480857553495241016704721

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)

24192474447817114859536206086937291294694202123510534221503388594024316299355470109432482014799379941581737747629323433475646185775845717966624695843049163649<158>

144980537536287432132636008444949932326605589289810885473376059<63>
166867048908284935466621255603944288909119454067675096305733889825041931789903829722087395153011<96>

Number: n
N=24192474447817114859536206086937291294694202123510534221503388594024316299355470109432482014799379941581737747629323433475646185775845717966624695843049163649  ( 158 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Nov 24 23:39:05 2022  p63 factor: 144980537536287432132636008444949932326605589289810885473376059
Thu Nov 24 23:39:05 2022  p96 factor: 166867048908284935466621255603944288909119454067675096305733889825041931789903829722087395153011
Thu Nov 24 23:39:05 2022  elapsed time 00:19:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 59x10^181-14 = 65(180)4
#
n: 24192474447817114859536206086937291294694202123510534221503388594024316299355470109432482014799379941581737747629323433475646185775845717966624695843049163649
m: 1000000000000000000000000000000000000
deg: 5
c5: 295
c0: -7
skew: 0.47
# Murphy_E = 7.359e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1403242 hash collisions in 13232894 relations (12628951 unique)
Msieve: matrix is 972400 x 972626 (338.9 MB)

Sieving start time : 2022/11/24 20:38:49
Sieving end time  : 2022/11/24 23:19:22

Total sieving time: 2hrs 40min 33secs.

Total relation processing time: 0hrs 14min 35sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3287640699877410007801181321743006798172294661763066978713919536386938593558453137189345815223448122144210409004792154240499275604591552435083026858352836286637690850328764069987741<181>

21981651312061942464563596607127362329472965904082618412082650637635880081663<77>
149562953811090173380269613866294635290714144788435941534300008743718267508881900765713724087201311204707<105>

Number: n
N=3287640699877410007801181321743006798172294661763066978713919536386938593558453137189345815223448122144210409004792154240499275604591552435083026858352836286637690850328764069987741  ( 181 digits)
SNFS difficulty: 184 digits.
Divisors found:

Tue Nov 15 19:15:14 2022  p77 factor: 21981651312061942464563596607127362329472965904082618412082650637635880081663
Tue Nov 15 19:15:14 2022  p105 factor: 149562953811090173380269613866294635290714144788435941534300008743718267508881900765713724087201311204707
Tue Nov 15 19:15:14 2022  elapsed time 00:28:46 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 59x10^183-14 = 65(182)4
#
n: 3287640699877410007801181321743006798172294661763066978713919536386938593558453137189345815223448122144210409004792154240499275604591552435083026858352836286637690850328764069987741
m: 1000000000000000000000000000000000000
deg: 5
c5: 29500
c0: -7
skew: 0.19
# Murphy_E = 5.052e-11
type: snfs
lss: 1
rlim: 8300000
alim: 8300000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8300000/8300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1802757 hash collisions in 14846575 relations (13904049 unique)
Msieve: matrix is 1104973 x 1105199 (385.9 MB)

Sieving start time : 2022/11/15 15:05:58
Sieving end time  : 2022/11/15 18:46:05

Total sieving time: 3hrs 40min 7secs.

Total relation processing time: 0hrs 20min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 34sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8300000,8300000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

33344636599977393466711879733242907200180852266304962134056742398553181869560302927546060811574545043517576579631513507403639651859387362947891940770882785124901096416864473832937719<182>

14685964306330298491110250172955149908420574518595745794011<59>
2270510529948951604419064051935187947462708823152889210091493976039091996790467030248825483808042771006514639466885809937429<124>

Number: n
N=33344636599977393466711879733242907200180852266304962134056742398553181869560302927546060811574545043517576579631513507403639651859387362947891940770882785124901096416864473832937719
  ( 182 digits)
SNFS difficulty: 186 digits.
Divisors found:

Tue Nov 15 14:30:24 2022  p59 factor: 14685964306330298491110250172955149908420574518595745794011
Tue Nov 15 14:30:24 2022  p124 factor: 2270510529948951604419064051935187947462708823152889210091493976039091996790467030248825483808042771006514639466885809937429
Tue Nov 15 14:30:24 2022  elapsed time 00:34:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 59x10^184-14 = 65(183)4
#
n: 33344636599977393466711879733242907200180852266304962134056742398553181869560302927546060811574545043517576579631513507403639651859387362947891940770882785124901096416864473832937719
m: 5000000000000000000000000000000000000
deg: 5
c5: 472
c0: -35
skew: 0.59
# Murphy_E = 4.576e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 24450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1558871 hash collisions in 13944705 relations (13216312 unique)
Msieve: matrix is 1246548 x 1246773 (435.0 MB)

Sieving start time : 2022/11/15 06:20:48
Sieving end time  : 2022/11/15 13:55:27

Total sieving time: 7hrs 34min 39secs.

Total relation processing time: 0hrs 27min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,27,27,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

26312104370752713491509217709919306573477220407132988510975715265569407317619209441674983967455048668473728478705480142388621754134345145238356447848071233556049687956280877700446949<182>

161550771848862406534073947628394438934487993<45>
162872043690195440339477440693823856446182337000865248087742882533475680338438351306132895281028216167114477339655722558849994684363505293<138>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 26312104370752713491509217709919306573477220407132988510975715265569407317619209441674983967455048668473728478705480142388621754134345145238356447848071233556049687956280877700446949 (182 digits)
Using B1=26190000, B2=144285141016, polynomial Dickson(12), sigma=1:4093062178
Step 1 took 71077ms
Step 2 took 27205ms
********** Factor found in step 2: 161550771848862406534073947628394438934487993
Found prime factor of 45 digits: 161550771848862406534073947628394438934487993
Prime cofactor 162872043690195440339477440693823856446182337000865248087742882533475680338438351306132895281028216167114477339655722558849994684363505293 has 138 digits

1440897291866484406464944529845584168780480973027597194344924256693493973850413839251454778895403014068955431673003681005465202189575871824108851843<148>

86061116270942245332013624821327017821036576973041<50>
16742721385697274495671221262902021858097469819791747780636142395371680726330993429742246234335923<98>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1440897291866484406464944529845584168780480973027597194344924256693493973850413839251454778895403014068955431673003681005465202189575871824108851843 (148 digits)
Using B1=30240000, B2=144289285156, polynomial Dickson(12), sigma=1:1257534355
Step 1 took 63940ms
Step 2 took 24469ms
********** Factor found in step 2: 86061116270942245332013624821327017821036576973041
Found prime factor of 50 digits: 86061116270942245332013624821327017821036576973041
Prime cofactor 16742721385697274495671221262902021858097469819791747780636142395371680726330993429742246234335923 has 98 digits

257370553651357939160600761488689602954110924259382732985253016497891788161211809397173907162792221418626321326334435396370524198615648743914177997453963<153>

1338000192278670234223209279749252662153504373777928668176705321303<67>
192354646237415805123963343554154335683793851668715584452605310520390812353472038282221<87>

Number: n
N=257370553651357939160600761488689602954110924259382732985253016497891788161211809397173907162792221418626321326334435396370524198615648743914177997453963  ( 153 digits)
SNFS difficulty: 191 digits.
Divisors found:

Fri Apr  7 23:36:26 2023  prp67 factor: 1338000192278670234223209279749252662153504373777928668176705321303
Fri Apr  7 23:36:26 2023  prp87 factor: 192354646237415805123963343554154335683793851668715584452605310520390812353472038282221
Fri Apr  7 23:36:26 2023  elapsed time 02:01:22 (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 = 59x10^189-14 = 65(188)4
#
n: 257370553651357939160600761488689602954110924259382732985253016497891788161211809397173907162792221418626321326334435396370524198615648743914177997453963
m: 50000000000000000000000000000000000000
deg: 5
c5: 472
c0: -35
skew: 0.59
# Murphy_E = 2.855e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 23750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1505371 hash collisions in 12963174 relations (12202999 unique)
Msieve: matrix is 1926084 x 1926310 (549.3 MB)

Sieving start time: 2023/04/07 14:15:02
Sieving end time  : 2023/04/07 21:34:50

Total sieving time: 7hrs 19min 48secs.

Total relation processing time: 1hrs 54min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 51sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

14273172184016537548260125368740738887558757603815093885732880444994630788887637182274238358295186748374282988297213524004625555894403992912464714186168873<155>

7367489849995974865077434545086333352483654403<46>
1937318201262854202019450379532850219302960970783410095181690396928783617144227176578703721929419610639419491<109>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 14273172184016537548260125368740738887558757603815093885732880444994630788887637182274238358295186748374282988297213524004625555894403992912464714186168873 (155 digits)
Using B1=41610000, B2=192395152966, polynomial Dickson(12), sigma=1:2136493014
Step 1 took 98299ms
Step 2 took 29636ms
********** Factor found in step 2: 7367489849995974865077434545086333352483654403
Found prime factor of 46 digits: 7367489849995974865077434545086333352483654403
Prime cofactor 1937318201262854202019450379532850219302960970783410095181690396928783617144227176578703721929419610639419491 has 109 digits

2431207698690978684315625841391021138394115664439244445556371707859315102369407964852839603739814225617810073578226379442338660077259775352732984568429987903274733011136997374479468233<184>

8824190214956880605714438359728023457600286193<46>
43846209378835045609939259852447620726851165417833<50>
6283695733953818857066730249699960218985473307397642657460959811446743316802243195340657<88>

Number: n
N=2431207698690978684315625841391021138394115664439244445556371707859315102369407964852839603739814225617810073578226379442338660077259775352732984568429987903274733011136997374479468233  ( 184 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sun Nov 20 00:46:34 2022  found factor: 6283695733953818857066730249699960218985473307397642657460959811446743316802243195340657
Sun Nov 20 00:48:52 2022  p46 factor: 8824190214956880605714438359728023457600286193
Sun Nov 20 00:48:52 2022  p50 factor: 43846209378835045609939259852447620726851165417833
Sun Nov 20 00:48:52 2022  p88 factor: 6283695733953818857066730249699960218985473307397642657460959811446743316802243195340657
Sun Nov 20 00:48:52 2022  elapsed time 01:02:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 59x10^191-14 = 65(190)4
#
n: 2431207698690978684315625841391021138394115664439244445556371707859315102369407964852839603739814225617810073578226379442338660077259775352732984568429987903274733011136997374479468233
m: 100000000000000000000000000000000000000
deg: 5
c5: 295
c0: -7
skew: 0.47
# Murphy_E = 2.867e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18486197)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1662821 hash collisions in 13540034 relations (12636328 unique)
Msieve: matrix is 1666351 x 1666575 (581.6 MB)

Sieving start time : 2022/11/19 18:45:09
Sieving end time  : 2022/11/19 23:46:04

Total sieving time: 5hrs 0min 55secs.

Total relation processing time: 0hrs 53min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 36sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

205497970377184325979014800664294839158096564884499597949111305582544021655434849584025676219242397730091951437737626445552002248409503540663962046688885669544732318355870761448941<180>

2437775357964412559444884199657418894012445669<46>
84297336793484911599105400805186411693850250048504269695065073319874506344996471748040127420665088461662486961901304076039644014307689<134>

Number: n
N=205497970377184325979014800664294839158096564884499597949111305582544021655434849584025676219242397730091951437737626445552002248409503540663962046688885669544732318355870761448941  ( 180 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Nov 23 05:11:33 2022  p46 factor: 2437775357964412559444884199657418894012445669
Wed Nov 23 05:11:33 2022  p134 factor: 84297336793484911599105400805186411693850250048504269695065073319874506344996471748040127420665088461662486961901304076039644014307689
Wed Nov 23 05:11:33 2022  elapsed time 01:03:16 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 59x10^192-14 = 65(191)4
#
n: 205497970377184325979014800664294839158096564884499597949111305582544021655434849584025676219242397730091951437737626445552002248409503540663962046688885669544732318355870761448941
m: 100000000000000000000000000000000
deg: 6
c6: 59
c0: -14
skew: 0.79
# Murphy_E = 2.299e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18806629)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1583921 hash collisions in 13125092 relations (12537798 unique)
Msieve: matrix is 1632911 x 1633137 (578.4 MB)

Sieving start time : 2022/11/22 22:41:37
Sieving end time  : 2022/11/23 04:07:55

Total sieving time: 5hrs 26min 18secs.

Total relation processing time: 0hrs 53min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 38sec.

Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,11900000,11900000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

35472510539309296067101048868281375998624374677459255366415063819732193603916155012359316611525384620142414644594630216101877388711317785469618280006951854120282232285831<170>

28467320523336442312298376211868332087978762932022403329134341627548108285939459<80>
1246078306183761185329586357485325145046397277464889900576919211696375686005843474592427309<91>

Number: n
N=35472510539309296067101048868281375998624374677459255366415063819732193603916155012359316611525384620142414644594630216101877388711317785469618280006951854120282232285831  ( 170 digits)
SNFS difficulty: 194 digits.
Divisors found:

Thu Nov 24 00:57:09 2022  p80 factor: 28467320523336442312298376211868332087978762932022403329134341627548108285939459
Thu Nov 24 00:57:09 2022  p91 factor: 1246078306183761185329586357485325145046397277464889900576919211696375686005843474592427309
Thu Nov 24 00:57:09 2022  elapsed time 01:13:00 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 59x10^193-14 = 65(192)4
#
n: 35472510539309296067101048868281375998624374677459255366415063819732193603916155012359316611525384620142414644594630216101877388711317785469618280006951854120282232285831
m: 100000000000000000000000000000000000000
deg: 5
c5: 29500
c0: -7
skew: 0.19
# Murphy_E = 1.965e-11
type: snfs
lss: 1
rlim: 12200000
alim: 12200000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 12200000/12200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1973340 hash collisions in 14126367 relations (12878322 unique)
Msieve: matrix is 1815811 x 1816035 (637.7 MB)

Sieving start time : 2022/11/23 16:39:28
Sieving end time  : 2022/11/23 23:43:49

Total sieving time: 7hrs 4min 21secs.

Total relation processing time: 1hrs 5min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 59sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12200000,12200000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

109259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<195>

367711870128413798608077055385273812395991279808730732524412185086676551<72>
297132804608954579378554888714322794559515431537062216471823944030127071979559631474099195590286317143808090235092870955309<123>

Number: n
N=109259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259  ( 195 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Nov 23 14:24:51 2022  p72 factor: 367711870128413798608077055385273812395991279808730732524412185086676551
Wed Nov 23 14:24:51 2022  p123 factor: 297132804608954579378554888714322794559515431537062216471823944030127071979559631474099195590286317143808090235092870955309
Wed Nov 23 14:24:51 2022  elapsed time 01:29:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 59x10^194-14 = 65(193)4
#
n: 109259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259
m: 500000000000000000000000000000000000000
deg: 5
c5: 472
c0: -35
skew: 0.59
# Murphy_E = 1.773e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 26521459)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1950460 hash collisions in 13803282 relations (12551895 unique)
Msieve: matrix is 2044918 x 2045143 (715.0 MB)

Sieving start time : 2022/11/23 05:17:59
Sieving end time  : 2022/11/23 12:54:35

Total sieving time: 7hrs 36min 36secs.

Total relation processing time: 1hrs 22min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 4sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

2393722253429258584214595343571139112476631953190358906236342497525398274474716445703864306009814301621230676185108436498226300338682164862082783003<148>

9291475584327052098956686359590902897455389<43>
257625630256943435895706141850880068788351066950670322556303935641305127788642767830829915982107869637527<105>

GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]
Input number is 2393722253429258584214595343571139112476631953190358906236342497525398274474716445703864306009814301621230676185108436498226300338682164862082783003 (148 digits)
Using B1=47840000, B2=240495495256, polynomial Dickson(12), sigma=1:801698264
Step 1 took 91898ms
Step 2 took 29102ms
********** Factor found in step 2: 9291475584327052098956686359590902897455389
Found prime factor of 43 digits: 9291475584327052098956686359590902897455389
Prime cofactor 257625630256943435895706141850880068788351066950670322556303935641305127788642767830829915982107869637527 has 105 digits

242199111546451845375683059476710155523771039369356974293336655924298373461886767643523414252326464342763923031893999338019864683572704675675779829368423672576042604843478360866172115280349<189>

4470115003492259702333220931893837030805803511<46>
54181852448367602505189311281903004687759273862559713325337123487957877857687992902314671490522768742181503945821747706169165022496534218061259<143>

Number: n
N=242199111546451845375683059476710155523771039369356974293336655924298373461886767643523414252326464342763923031893999338019864683572704675675779829368423672576042604843478360866172115280349  ( 189 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Jun  4 23:26:43 2023  prp46 factor: 4470115003492259702333220931893837030805803511
Sun Jun  4 23:26:43 2023  prp143 factor: 54181852448367602505189311281903004687759273862559713325337123487957877857687992902314671490522768742181503945821747706169165022496534218061259
Sun Jun  4 23:26:43 2023  elapsed time 03:45:43 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
#
# N = 59x10^200-14 = 65(199)4
#
n: 242199111546451845375683059476710155523771039369356974293336655924298373461886767643523414252326464342763923031893999338019864683572704675675779829368423672576042604843478360866172115280349
m: 10000000000000000000000000000000000000000
deg: 5
c5: 59
c0: -14
skew: 0.75
# Murphy_E = 1.122e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2223515 hash collisions in 14764180 relations (13251642 unique)
Msieve: matrix is 2622629 x 2622854 (742.0 MB)

Sieving start time: 2023/06/03 23:40:41
Sieving end time  : 2023/06/04 19:40:45

Total sieving time: 20hrs 0min 4secs.

Total relation processing time: 3hrs 31min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 7sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<202>

28477827537257730217227095559815915344829199662170364569347434471481643817972192557<83>
115099291667857719154412336021980684017397655613760601727099425341836955149570024108718296270420226538143173025973237461<120>

Number: n
N=3277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jun 23 11:00:34 2023  prp83 factor: 28477827537257730217227095559815915344829199662170364569347434471481643817972192557
Fri Jun 23 11:00:34 2023  prp120 factor: 115099291667857719154412336021980684017397655613760601727099425341836955149570024108718296270420226538143173025973237461
Fri Jun 23 11:00:34 2023  elapsed time 03:37:16 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 59x10^201-14 = 65(200)4
#
n: 3277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000000000000000000
deg: 5
c5: 295
c0: -7
skew: 0.47
# Murphy_E = 1.099e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 48300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2379268 hash collisions in 15432042 relations (13783900 unique)
Msieve: matrix is 2554442 x 2554667 (723.6 MB)

Sieving start time: 2023/06/22 09:54:32
Sieving end time  : 2023/06/23 07:23:02

Total sieving time: 21hrs 28min 30secs.

Total relation processing time: 3hrs 22min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 3sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

299267320326020103317206354892835215421937710645131147230899969518089816089394632519356185692289014834231139143000152834567627685856862521026269135300288875040815112067497<171>

754733684314207679608536132493995896263095111287<48>
97384609057398515933330618721128605354504165071827229618287<59>
4071694979241860652670455544599685517847324351882144873182023313<64>

Number: n
N=299267320326020103317206354892835215421937710645131147230899969518089816089394632519356185692289014834231139143000152834567627685856862521026269135300288875040815112067497  ( 171 digits)
SNFS difficulty: 205 digits.
Divisors found:

Tue Nov 21 03:14:31 2023  prp48 factor: 754733684314207679608536132493995896263095111287
Tue Nov 21 03:14:31 2023  prp59 factor: 97384609057398515933330618721128605354504165071827229618287
Tue Nov 21 03:14:31 2023  prp64 factor: 4071694979241860652670455544599685517847324351882144873182023313
Tue Nov 21 03:14:31 2023  elapsed time 02:37:39 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.083).
Factorization parameters were as follows:
#
# N = 59x10^204-14 = 65(203)4
#
n: 299267320326020103317206354892835215421937710645131147230899969518089816089394632519356185692289014834231139143000152834567627685856862521026269135300288875040815112067497
m: 10000000000000000000000000000000000
deg: 6
c6: 59
c0: -14
skew: 0.79
# Murphy_E = 9.297e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3247784 hash collisions in 19420475 relations (16898735 unique)
Msieve: matrix is 2186711 x 2186936 (623.4 MB)

Sieving start time: 2023/11/20 06:06:35
Sieving end time  : 2023/11/21 00:36:27

Total sieving time: 18hrs 29min 52secs.

Total relation processing time: 2hrs 22min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 26sec.

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

172857231242442970326356096080092761272554226228091974713273383707956398341392815916254383721150326093896769280392695329387220268212980333350209919118715197038389622938619565680913492944173247<192>

13502835970416903992064536545503870007918125837819180724502210555979333636482451372164783323469696235608631957233004312801108693642401763950287<143>

12558164433393734327613321194669114939680245533<47>
1075223695471861282746273849053451597588953472785066841211976886589969089535287435186164866776539<97>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2753929525
Step 1 took 20641ms
Step 2 took 9078ms
********** Factor found in step 2: 12558164433393734327613321194669114939680245533
Found prime factor of 47 digits: 12558164433393734327613321194669114939680245533
Prime cofactor 1075223695471861282746273849053451597588953472785066841211976886589969089535287435186164866776539 has 97 digits
 

GMP-ECM

1421752747254736846394600167659710410107094869648335239618419642336823764016652449057489434856572272532676032297059925543838243097383363231394169617977614115634912496174271614076241401093722672191033<199>

1844276441816519906965045170602275019<37>

770900020744385593535347367570646868964242986285786552239764252400783587523134418734664806912915101646415660553071410809219739696045306980859954104038400438356107<162>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3350401720
Step 1 took 34372ms
Step 2 took 15109ms
********** Factor found in step 2: 1844276441816519906965045170602275019
Found prime factor of 37 digits: 1844276441816519906965045170602275019
Composite cofactor 770900020744385593535347367570646868964242986285786552239764252400783587523134418734664806912915101646415660553071410809219739696045306980859954104038400438356107 has 162 digits

51945765099489346715971121676351470329283324528966367318189822151787286494101074132769853847508364148617714386335622468744497270646240535305511533720725479837999647825321359394259552738158126430709631977460820567<212>

6473348083577280080613487754340233847703<40>

8024559227901622561024943103140344302810529726552733407885716840389139812429674504208490486502318861192484803385708410291620904392649307870697825747054558125408507078625089<172>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2985314369
Step 1 took 11377ms
Step 2 took 5345ms
********** Factor found in step 2: 6473348083577280080613487754340233847703
Found prime factor of 40 digits: 6473348083577280080613487754340233847703
Composite cofactor 8024559227901622561024943103140344302810529726552733407885716840389139812429674504208490486502318861192484803385708410291620904392649307870697825747054558125408507078625089 has 172 digits

107335940786272878383465912510333830113797706799210248243393786314807290060787462356531798054923248154349088199940795053782940616416116113764827108266643986003187212305042853600675667311760962609884661<201>

121357696411524733425268491731959728669670300810807366296717267731525117976950549045822375237104633906855256770182889661667834686207779411694381373344913410490531108478532945600181425409901<189>

77611214693780621089555938564626222375940389<44>

1563661861115668622918190097163523960929552903790464635843498672861538737025643807076100980868608234301559308211057067594683462516777722769917609<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3428156349
Step 1 took 58496ms
Step 2 took 17304ms
********** Factor found in step 2: 77611214693780621089555938564626222375940389
Found probable prime factor of 44 digits: 77611214693780621089555938564626222375940389
Composite cofactor 1563661861115668622918190097163523960929552903790464635843498672861538737025643807076100980868608234301559308211057067594683462516777722769917609 has 145 digits

1563661861115668622918190097163523960929552903790464635843498672861538737025643807076100980868608234301559308211057067594683462516777722769917609<145>

7672105683329452214475082154739385922817711955121<49>
203811303657262529603406604468785905800498597069108054606007804524371665225390891794887222667129<96>

Msieve v. 1.53 (SVN 1005)
Mon Jul 17 15:58:06 2023
random seeds: e7b058ac 93280fe0
factoring 1563661861115668622918190097163523960929552903790464635843498672861538737025643807076100980868608234301559308211057067594683462516777722769917609 (145 digits)
searching for 15-digit factors
commencing number field sieve (145-digit input)
R0: -9504174850506882983743140603
R1: 1072054602504492318967
A0: 559568459541985326118331278270560
A1: 1470341240286241229557762636
A2: -99555845032205526459195
A3: -313514358865345297
A4: 1463663737536
A5: -1854720
skew 218279.55, size 4.910e-014, alpha -6.877, combined = 1.136e-011 rroots = 3

commencing relation filtering
setting target matrix density to 110.0
estimated available RAM is 16335.2 MB
commencing duplicate removal, pass 1
error -5 reading relation 5088021
read 10M relations
error -15 reading relation 19981426
read 20M relations
error -9 reading relation 28513824
read 30M relations
error -9 reading relation 36169605
read 40M relations
error -9 reading relation 40059928
error -15 reading relation 40506153
read 50M relations
skipped 8 relations with composite factors
found 7359084 hash collisions in 54113129 relations
added 121693 free relations
commencing duplicate removal, pass 2
found 6079293 duplicates and 48155529 unique relations
memory use: 213.2 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 1378.0 MB
reading all ideals from disk
memory use: 1648.6 MB
keeping 42284892 ideals with weight <= 200, target excess is 263801
commencing in-memory singleton removal
begin with 48155529 relations and 42284892 unique ideals
reduce to 30381209 relations and 22809040 ideals in 12 passes
max relations containing the same ideal: 156
removing 3875402 relations and 2875402 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 26505807 relations and 22809040 unique ideals
reduce to 26134020 relations and 19546984 ideals in 8 passes
max relations containing the same ideal: 139
removing 3130452 relations and 2130452 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 23003568 relations and 19546984 unique ideals
reduce to 22739772 relations and 17143036 ideals in 6 passes
max relations containing the same ideal: 126
removing 2932979 relations and 1932979 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 19806793 relations and 17143036 unique ideals
reduce to 19562652 relations and 14956221 ideals in 7 passes
max relations containing the same ideal: 113
removing 2836785 relations and 1836785 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 16725867 relations and 14956221 unique ideals
reduce to 16478210 relations and 12860785 ideals in 7 passes
max relations containing the same ideal: 101
removing 2782236 relations and 1782236 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 13695974 relations and 12860785 unique ideals
reduce to 13428265 relations and 10797071 ideals in 7 passes
max relations containing the same ideal: 87
removing 2748895 relations and 1748895 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 10679370 relations and 10797071 unique ideals
reduce to 10372761 relations and 8722448 ideals in 8 passes
max relations containing the same ideal: 77
removing 2725464 relations and 1725464 ideals in 1000000 cliques
commencing in-memory singleton removal
begin with 7647297 relations and 8722448 unique ideals
reduce to 7268720 relations and 6587461 ideals in 8 passes
max relations containing the same ideal: 57
removing 1203591 relations and 828342 ideals in 375249 cliques
commencing in-memory singleton removal
begin with 6065129 relations and 6587461 unique ideals
reduce to 5927259 relations and 5614584 ideals in 7 passes
max relations containing the same ideal: 53
relations with 0 large ideals: 871
relations with 1 large ideals: 5466
relations with 2 large ideals: 71506
relations with 3 large ideals: 383739
relations with 4 large ideals: 1050104
relations with 5 large ideals: 1628723
relations with 6 large ideals: 1531378
relations with 7+ large ideals: 1255472
commencing 2-way merge
reduce to 3871600 relation sets and 3558925 unique ideals
commencing full merge
memory use: 477.0 MB
found 1822789 cycles, need 1783125
weight of 1783125 cycles is about 196376474 (110.13/cycle)
distribution of cycle lengths:
1 relations: 45649
2 relations: 97963
3 relations: 127834
4 relations: 140498
5 relations: 151855
6 relations: 152934
7 relations: 149613
8 relations: 142172
9 relations: 131262
10+ relations: 643345
heaviest cycle: 24 relations
commencing cycle optimization
start with 14845200 relations
pruned 719809 relations
memory use: 396.7 MB
distribution of cycle lengths:
1 relations: 45649
2 relations: 100864
3 relations: 134186
4 relations: 147458
5 relations: 161369
6 relations: 161972
7 relations: 159234
8 relations: 150204
9 relations: 137802
10+ relations: 584387
heaviest cycle: 24 relations
RelProcTime: 1235

commencing linear algebra
read 1783125 cycles
cycles contain 5747002 unique relations
read 5747002 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 789.8 MB
read 1783125 cycles
matrix is 1782946 x 1783125 (768.9 MB) with weight 238465013 (133.73/col)
sparse part has weight 181961025 (102.05/col)
filtering completed in 2 passes
matrix is 1782828 x 1783007 (768.9 MB) with weight 238456137 (133.74/col)
sparse part has weight 181956220 (102.05/col)
matrix starts at (0, 0)
matrix is 1782828 x 1783007 (768.9 MB) with weight 238456137 (133.74/col)
sparse part has weight 181956220 (102.05/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 1782780 x 1783007 (748.0 MB) with weight 201245601 (112.87/col)
sparse part has weight 178265263 (99.98/col)
using block size 8192 and superblock size 589824 for processor cache size 6144 kB
commencing Lanczos iteration (4 threads)
memory use: 609.1 MB
linear algebra at 0.1%, ETA 1h57m1783007 dimensions (0.1%, ETA 1h57m)
checkpointing every 910000 dimensions007 dimensions (0.1%, ETA 1h57m)
linear algebra completed 1782621 of 1783007 dimensions (100.0%, ETA 0h 0m)
lanczos halted after 28192 iterations (dim = 1782780)
recovered 33 nontrivial dependencies
BLanczosTime: 5500

commencing square root phase
handling dependencies 1 to 64
reading relations for dependency 1
read 891135 cycles
cycles contain 2871972 unique relations
read 2871972 relations
multiplying 2871972 relations
multiply complete, coefficients have about 155.76 million bits
initial square root is modulo 389047
GCD is 1, no factor found
reading relations for dependency 2
read 890492 cycles
cycles contain 2870964 unique relations
read 2870964 relations
multiplying 2870964 relations
multiply complete, coefficients have about 155.71 million bits
initial square root is modulo 387403
GCD is N, no factor found
reading relations for dependency 3
read 890914 cycles
cycles contain 2872490 unique relations
read 2872490 relations
multiplying 2872490 relations
multiply complete, coefficients have about 155.78 million bits
initial square root is modulo 389783
sqrtTime: 1530
p49 factor: 7672105683329452214475082154739385922817711955121
p96 factor: 203811303657262529603406604468785905800498597069108054606007804524371665225390891794887222667129

14844720259036481761641280358708550709327541944323010315842459157765686376877420368282905475346105053214805633915113045114494444828548972594927253269476545744721101865368542828674123<182>

28678388250515453381334285658006189489114207713911257720325046554168644774347677352266329258773489187232131908861446501385729098416726820775839557178340879986419901<164>

499141920611005576271398015903665145041968440888903064929880353112243918440082285852635411576844880759032147390867969472183669191561223411775785600772708935522012591311026533273935653648109<189>

3754165874566557239701274478365857926899980818006255333266406992415336498803507219979339322778067208074569693601970725476265539206200661582058876319667694873875367070715418598413059873943989090187<196>

1788301477318881432581034305078169991695006698552991313098247464552227496196070586381023393408138893435418068513163717484738817053727850825346597074460023884433290292857099556864955959287346706191160334867029176593255375513<223>

1536336450787371720490160651684802030409516801956650430156233952061033767445854269811268692618168339326395429522152077961506508802393901381703213058428828881718937050945066688254345463560177220646381<199>

673019017659578192617759242445837501502557158305075230649479691571987912249390735847797991311384497360635500419709658668569217601381498783140875916396036907401227374694406203334909558290946270658170703<201>

13867887280295668717026066542406833872270796400552135879646434770679373380739861402910083092437597248988081119852566206221540077313568514800974419498383321792476299775362003841707398815232179491572323<200>

228669951614827351671579610960953561651937245195026036552171967083411815521599521037507571963270295273033740218791165892257768488604532410463719522955470529243587645099983797180866990172193078339741517430386626076343<216>

286151546634232063127553097261371492418552175668173763743744431372510919102723941497271372613770681947518875559322543085656444295946250218885897071154954365459194966023143979813872497337514510951933517060786854551<213>

150575860664363647471904714699204730623971329779990144960182020101573119744255321523690799723639471424472714898305164708166423860851254223198613591816507625173504020530828309875184229974800569820622730121647744423837425233<222>

28241382370816067282838110917726274112434426424965964768547698831269954285575180795904037366332280956191035178625548141533640020590142070377196673764340616725621323837393443171339985476742782938776024458081211134937309124461<224>

82715856141120000923381780860947945413159924330814936287663679422922538376876400791675615396280606960080841922836878848838393621517967883119499979413977466921995860332371913295756133790575478595042261109205196551315651<218>

36419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753<242>

16795408193414087327311948593179399<35>

2168435126256763289881581157531821188058926498343643986706679139594012060903305853820670387285052644301564840293532043639808232442713819420970050865408188185963910764536021471276772024408824964600113465812047<208>

Resuming ECM residue saved by @6369760d5fbd with GMP-ECM 7.0.5-dev on Wed Jan 11 23:22:37 2023 
Input number is 36419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753086419753 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4253780020
Step 1 took 0ms
Step 2 took 7850ms
********** Factor found in step 2: 16795408193414087327311948593179399
Found prime factor of 35 digits: 16795408193414087327311948593179399
Composite cofactor 2168435126256763289881581157531821188058926498343643986706679139594012060903305853820670387285052644301564840293532043639808232442713819420970050865408188185963910764536021471276772024408824964600113465812047 has 208 digits

96723879494093276768320843912608106486497353860526972880111845746946837681993090235621188233578351707750698644302282623491187190615021690495997351711668281344634722080249477436477579537322035311390559926541818341255511749111511003243<233>

104739740148819500968427135139265394897<39>

923468774666264347825977961762190474306387610884014655614970383636075663735044787994640275700698665266366917639868520836831320643510887841383849759782220453138957109007571880802584825322547946619<195>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4190544548
Step 1 took 17125ms
Step 2 took 6263ms
********** Factor found in step 2: 104739740148819500968427135139265394897
Found prime factor of 39 digits: 104739740148819500968427135139265394897
Composite cofactor 923468774666264347825977961762190474306387610884014655614970383636075663735044787994640275700698665266366917639868520836831320643510887841383849759782220453138957109007571880802584825322547946619 has 195 digits

42759902959433000068305010579410832142152854717292770499067050132549240765808784363878912068880405175152942942042301397552212820686971464766400016652531943078542580258162257405345913543297340205185097220472462048639408560078863<227>

25075205470937308537409412405817192607719606892992660147767268859085772628655208480505739025041994080336161661052396326539207632011771471398239860998626487843910936572833828419238706752744699178198627303684492730527081<218>

1783192363448624979584139203317871390084533<43>

14061974459358289396547349902512681777858906304588877615617392413241757121932786720713573213901993254761414276173045032103018382840362152384557694570540495310460901291477913957<176>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3880435061
Step 1 took 12549ms
Step 2 took 5453ms
********** Factor found in step 2: 1783192363448624979584139203317871390084533
Found prime factor of 43 digits: 1783192363448624979584139203317871390084533
Composite cofactor 14061974459358289396547349902512681777858906304588877615617392413241757121932786720713573213901993254761414276173045032103018382840362152384557694570540495310460901291477913957 has 176 digits

5159003266807080496740139010245762247741888036746397091415922175439035760336913008324338908873352196590810823005805946631013208509550144605841135244438550246487009353977362757136113503394701980555801085199929238194813588725632074866273489<238>

1791555842548679136642771454199303282196211262900343262302872305702665488716692132623821128368163676780134977816549861732800947522611371247212966679506464016889299383276118128625759080013283<190>

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42981420131629984473826830340320165300376530665813791786159319170159830495036536624869624339201752453257975253590866171572237973121103684042849903007524802573490528146237702687383100167930576093347395513781809522679569<218>

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5849827741785454039809697298835893438050612199050506317398799834968246498355421490936440271468788788919890286424250763177310302261538346042142726622956174064450404662152242016170666202333<187>

877620718694543430335080169006155040847186889<45>

6665553373087003325489275391007377973586983489723297446357718549932497639372044026411632722275752792927635555980973507170887814110889575866997<142>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=797173993
Step 1 took 41960ms
Step 2 took 14748ms
********** Factor found in step 2: 877620718694543430335080169006155040847186889
Found probable prime factor of 45 digits: 877620718694543430335080169006155040847186889
Composite cofactor 6665553373087003325489275391007377973586983489723297446357718549932497639372044026411632722275752792927635555980973507170887814110889575866997 has 142 digits

6665553373087003325489275391007377973586983489723297446357718549932497639372044026411632722275752792927635555980973507170887814110889575866997<142>

19937381155382466596948371917318678378675494227<47>
334324419096914005035007688654057735723967971518662672056756947241982634498743060905828836671511<96>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:1606346942
Step 1 took 81094ms
Step 2 took 27547ms
********** Factor found in step 2: 19937381155382466596948371917318678378675494227
Found prime factor of 47 digits: 19937381155382466596948371917318678378675494227
Prime cofactor 334324419096914005035007688654057735723967971518662672056756947241982634498743060905828836671511 has 96 digits
 

GMP-ECM

1777217862631150025892231285893611680574239906087221962172088879004582815020215486979593367181155960166777183509356844892135557067782154674664859741459983818084677567304162539498366031451345217370691450564105329<211>

885194025513518589715106469796217<33>

2007715609693762604704979983367691112763283840761405032653587812046204538910427934728520221470293013940154014819286894742569747191193124296399067938704260071434468517439672650937<178>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1767689884
Step 1 took 11492ms
********** Factor found in step 1: 885194025513518589715106469796217
Found prime factor of 33 digits: 885194025513518589715106469796217
Composite cofactor 2007715609693762604704979983367691112763283840761405032653587812046204538910427934728520221470293013940154014819286894742569747191193124296399067938704260071434468517439672650937 has 178 digits

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5118158618854475879211317816241931085999627870383284367758707172552230978868836220744068453943695993999939779699053370544856024493413537905276112596333044576697145625391407732126483348736724412087303399549605216906377969649188279720230093<238>

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363547185343749268284266786945328665141000851563068042477099608231694166854602076039282813830567293816370468137862022135710315743811379396610261396588078856465409409587047368349705280307203533432168873213227202202479761513046414500480005520987763864395667503441374627364135022657<279>

21514292191146979821865542915762013<35>

16897938454761112633449363711498105181469876223117736338793306342531638931903888517161360241018017961325055145576839357173151564516966189292695560037556622997455418533111517539887270344189320456486392754792738774042316723321811763362643767169589<245>

Resuming ECM residue saved by @32f0fb8df3c5 with GMP-ECM 7.0.5-dev on Sun Jan  8 12:34:49 2023 
Input number is 363547185343749268284266786945328665141000851563068042477099608231694166854602076039282813830567293816370468137862022135710315743811379396610261396588078856465409409587047368349705280307203533432168873213227202202479761513046414500480005520987763864395667503441374627364135022657 (279 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:669669096
Step 1 took 0ms
Step 2 took 8179ms
********** Factor found in step 2: 21514292191146979821865542915762013
Found prime factor of 35 digits: 21514292191146979821865542915762013
Composite cofactor 16897938454761112633449363711498105181469876223117736338793306342531638931903888517161360241018017961325055145576839357173151564516966189292695560037556622997455418533111517539887270344189320456486392754792738774042316723321811763362643767169589 has 245 digits

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25354686276582669599215465842940180989485970263680142467552447672654670032393834771674603972692573139675099033685634550444222698374635687537441136302496018454773685789257004554389239986832752753991644126780307230039200923426269002048142962613440734065439156058523772811697191130501<281>

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3277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<292>

154789048489808716691665018208302013<36>
21175773155512265334964171668175147441516624642921927817054139682261339673471000476960172008867689589638900497138856953968967245097879711639756818222944538644956175495458019619689646489569404168993339835526325057282046766257613198791194840016106340631493829<257>

Resuming ECM residue saved by @47cd6a8467bc with GMP-ECM 7.0.5-dev on Thu Nov 10 19:13:10 2022 
Input number is 3277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777 (292 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:759637560
Step 1 took 0ms
Step 2 took 4608ms
********** Factor found in step 2: 154789048489808716691665018208302013
Found prime factor of 36 digits: 154789048489808716691665018208302013
Prime cofactor 21175773155512265334964171668175147441516624642921927817054139682261339673471000476960172008867689589638900497138856953968967245097879711639756818222944538644956175495458019619689646489569404168993339835526325057282046766257613198791194840016106340631493829 has 257 digits

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486249573863090478106722718700070693476148014016357596208988370919660499448994452766129002688765248223107424154774689474352606385419364994408954949624040160663914174726062701278103496488771983924759339071330459830141542788459127710194537886676568178209903996623<261>

675423480975981454427323683927815952408697656376806101911240629190995325039531646625696586101316767795135482433287304918807227778352018875002328715454681904853465965375294087085329344367205154373927197805155879659034659164483376125696744193981558196212760556739572437054321<273>

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