13542532867918738062037126560960092689946352525579494948395548618672154388711802721517699766176814515849975722387923468489049454778495007<137>

20225875690514659836508282385728931252294405561401<50>
669564723680655628058788245420020351152552018746999385916531154584743319511168628285207<87>

Number: n
N=13542532867918738062037126560960092689946352525579494948395548618672154388711802721517699766176814515849975722387923468489049454778495007  ( 137 digits)
SNFS difficulty: 157 digits.
Divisors found:

Thu May 19 18:01:32 2022  p50 factor: 20225875690514659836508282385728931252294405561401
Thu May 19 18:01:32 2022  p87 factor: 669564723680655628058788245420020351152552018746999385916531154584743319511168628285207
Thu May 19 18:01:32 2022  elapsed time 00:07:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 2x10^157-15x10^78-2 = 6(78)16(78)
#
n: 13542532867918738062037126560960092689946352525579494948395548618672154388711802721517699766176814515849975722387923468489049454778495007
m: 1000000000000000000000000000000000000000
deg: 4
c4: 20
c2: -15
c0: -2
skew: 0.56
# Murphy_E = 5.988e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1758588 hash collisions in 14901409 relations (14553127 unique)
Msieve: matrix is 469991 x 470216 (154.7 MB)

Sieving start time : 2022/05/19 16:36:06
Sieving end time  : 2022/05/19 17:54:01

Total sieving time: 1hrs 17min 55secs.

Total relation processing time: 0hrs 3min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 15sec.

Prototype def-par.txt line would be:
snfs,157,4,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

103997275452480015152883360019600145335689121694398661933100192404362543555177669033545905547227253070907538333049429224948491209<129>

53972173718576674986515542930961168695169<41>
1926868389528754654156481671052027135195941425173401845950349490049898161965315568601161<88>

103997275452480015152883360019600145335689121694398661933100192404362543555177669033545905547227253070907538333049429224948491209=
53972173718576674986515542930961168695169*1926868389528754654156481671052027135195941425173401845950349490049898161965315568601161

cado polynomial
n: 103997275452480015152883360019600145335689121694398661933100192404362543555177669033545905547227253070907538333049429224948491209
skew: 0.89
type: snfs
c0: -5
c2: -15
c4: 8
Y0: 50000000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4-15*x^2-5
# g(x) = -x+50000000000000000000000000000000000000000

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

cado log (extracts)
Info:Square Root: Factors: 1926868389528754654156481671052027135195941425173401845950349490049898161965315568601161 53972173718576674986515542930961168695169
Info:Square Root: Total cpu/real time for sqrt: 112.12/37.2392
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11627968
Info:Lattice Sieving: Average J: 1888.24 for 672836 special-q, max bucket fill -bkmult 1.0,1s:1.244420
Info:Lattice Sieving: Total time: 69412.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.27/24.4946
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.74/50.9264
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.44/88.6993
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 79.80000000000001s
Info:Filtering - Merging: Merged matrix has 631583 rows and total weight 107664172 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 132.65/37.3535
Info:Filtering - Merging: Total cpu/real time for replay: 21.37/17.8725
Info:Linear Algebra: Total cpu/real time for bwc: 6105.05/1569
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3829.53, WCT time 978.5, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Linear Algebra: Lingen CPU time 105.51, WCT time 26.84
Info:Linear Algebra: Mksol: CPU time 2073.7,  WCT time 528.88, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.27/1.27105
Info:Quadratic Characters: Total cpu/real time for characters: 20.92/8.29078
Info:Square Root: Total cpu/real time for sqrt: 112.12/37.2392
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.91/55.9345
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 134402/36799.6
Info:root: Cleaning up computation data in /tmp/cado.fh5ocsin
1926868389528754654156481671052027135195941425173401845950349490049898161965315568601161 53972173718576674986515542930961168695169

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)

13259166693678437679848160781525159370676859033721552508454580851084273149554254791533425122460894617153314016696571117331898241523758552223<140>

2066578224375002261916441555584902961476987498478399<52>
6416000390059477865241981413368706319170951011556699112495191741331537727897016649084577<88>

13259166693678437679848160781525159370676859033721552508454580851084273149554254791533425122460894617153314016696571117331898241523758552223=2066578224375002261916441555584902961476987498478399*6416000390059477865241981413368706319170951011556699112495191741331537727897016649084577

cado polynomial
n: 13259166693678437679848160781525159370676859033721552508454580851084273149554254791533425122460894617153314016696571117331898241523758552223
skew: 0.56
type: snfs
c0: -2
c2: -15
c4: 20
Y0: 100000000000000000000000000000000000000000
Y1: -1
# f(x) = 20*x^4-15*x^2-2
# g(x) = -x+100000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4000000
tasks.lim1 = 4000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2066578224375002261916441555584902961476987498478399 6416000390059477865241981413368706319170951011556699112495191741331537727897016649084577
Info:Square Root: Total cpu/real time for sqrt: 175.48/66.9788
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11743151
Info:Lattice Sieving: Average J: 1888.86 for 997556 special-q, max bucket fill -bkmult 1.0,1s:1.318370
Info:Lattice Sieving: Total time: 139521s
Info:Generate Free Relations: Total cpu/real time for freerel: 87.38/30.272
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.71/62.9121
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 120.73/146.259
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 123.20000000000002s
Info:Filtering - Merging: Merged matrix has 871629 rows and total weight 148933989 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 195.55/70.9826
Info:Filtering - Merging: Total cpu/real time for replay: 32.13/27.6101
Info:Linear Algebra: Total cpu/real time for bwc: 12436.7/4880.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7365.78, WCT time 2887.94, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 909.28, WCT time 324.09
Info:Linear Algebra: Mksol: CPU time 4029.1,  WCT time 1604.03, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.48/2.0117
Info:Quadratic Characters: Total cpu/real time for characters: 30.03/14.9907
Info:Square Root: Total cpu/real time for sqrt: 175.48/66.9788
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.7/106.211
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 203112/75264.6
Info:root: Cleaning up computation data in /tmp/cado.a21qnf7x
2066578224375002261916441555584902961476987498478399 6416000390059477865241981413368706319170951011556699112495191741331537727897016649084577

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)

14947683109118086696562032884902840059790732436472346786248131539611360239162929745878176382660687593423019431988041853512705530642750373692077727952167414050822122571<167>

402692268070937810921217836047315230193549267657<48>
37119369539235652467687612374391774264468574255503838480244626859393016065215168431940609564141948603954304334649842803<119>

Number: n
N=14947683109118086696562032884902840059790732436472346786248131539611360239162929745878176382660687593423019431988041853512705530642750373692077727952167414050822122571  ( 167 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri May 20 17:19:04 2022  p48 factor: 402692268070937810921217836047315230193549267657
Fri May 20 17:19:04 2022  p119 factor: 37119369539235652467687612374391774264468574255503838480244626859393016065215168431940609564141948603954304334649842803
Fri May 20 17:19:04 2022  elapsed time 00:10:27 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 2x10^169-15x10^84-2 = 6(84)16(84)
#
n: 14947683109118086696562032884902840059790732436472346786248131539611360239162929745878176382660687593423019431988041853512705530642750373692077727952167414050822122571
m: 1000000000000000000000000000000000000000000
deg: 4
c4: 20
c2: -15
c0: -2
skew: 0.56
# Murphy_E = 1.395e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1794457 hash collisions in 15039278 relations (14683807 unique)
Msieve: matrix is 624409 x 624637 (213.0 MB)

Sieving start time : 2022/05/20 14:50:21
Sieving end time  : 2022/05/20 17:08:19

Total sieving time: 2hrs 17min 58secs.

Total relation processing time: 0hrs 5min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
snfs,169,4,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

8047257949848697244323212211620074574401245285758196357709556818352004016929981252487246471586599255546040601108428490567331059151367847408711<142>

3113059565790182962538823824344081879691<40>
2584999669868531586232149195697720352277143716247210872516223470599558145027412925727240275168919767221<103>

8047257949848697244323212211620074574401245285758196357709556818352004016929981252487246471586599255546040601108428490567331059151367847408711=3113059565790182962538823824344081879691*2584999669868531586232149195697720352277143716247210872516223470599558145027412925727240275168919767221

cado polynomial
n: 8047257949848697244323212211620074574401245285758196357709556818352004016929981252487246471586599255546040601108428490567331059151367847408711
skew: 0.89
type: snfs
c0: -5
c2: -15
c4: 8
Y0: 5000000000000000000000000000000000000000000
Y1: -1
# f(x) = 8*x^4-15*x^2-5
# g(x) = -x+5000000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5100000
tasks.lim1 = 5100000
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: 2584999669868531586232149195697720352277143716247210872516223470599558145027412925727240275168919767221 3113059565790182962538823824344081879691
Info:Square Root: Total cpu/real time for sqrt: 387.91/210.65
Info:Filtering - Singleton removal: Total cpu/real time for purge: 165.89/273.996
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13456347
Info:Lattice Sieving: Average J: 1888.76 for 1492736 special-q, max bucket fill -bkmult 1.0,1s:1.235510
Info:Lattice Sieving: Total time: 329397s
Info:Linear Algebra: Total cpu/real time for bwc: 20109.7/14164.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12352.48, WCT time 8577.43, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (34560 iterations)
Info:Linear Algebra: Lingen CPU time 862.05, WCT time 674.88
Info:Linear Algebra: Mksol: CPU time 6713.68,  WCT time 4771.12, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (17408 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 89.09/57.7507
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.29/93.8474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 92.40000000000003s
Info:Filtering - Merging: Merged matrix has 1103871 rows and total weight 188167028 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 265.38/135.094
Info:Filtering - Merging: Total cpu/real time for replay: 45.36/49.452
Info:Generate Factor Base: Total cpu/real time for makefb: 3.2/3.43646
Info:Quadratic Characters: Total cpu/real time for characters: 37.81/31.438
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.98/356.564
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 291.40000000000003s
Info:Square Root: Total cpu/real time for sqrt: 387.91/210.65
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 338000/180117
Info:root: Cleaning up computation data in /tmp/cado.vfy28hic
2584999669868531586232149195697720352277143716247210872516223470599558145027412925727240275168919767221 3113059565790182962538823824344081879691

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)

730021736746012682841034869429551419537808272534328744943970802336236280402936822004109563257794342752257399247561337323765953157595511329034141<144>

163936212883597823566442894911251355683067<42>
4453084061813489369049349533873064586247456732305129367333815116854275238699796093834234608341193610823<103>

Number: n
N=730021736746012682841034869429551419537808272534328744943970802336236280402936822004109563257794342752257399247561337323765953157595511329034141  ( 144 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed May 25 08:50:56 2022  p42 factor: 163936212883597823566442894911251355683067
Wed May 25 08:50:56 2022  p103 factor: 4453084061813489369049349533873064586247456732305129367333815116854275238699796093834234608341193610823
Wed May 25 08:50:56 2022  elapsed time 00:19:52 (Msieve 1.54 - dependency 10)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 2x10^175-15x10^87-2 = 6(87)16(87)
#
n: 730021736746012682841034869429551419537808272534328744943970802336236280402936822004109563257794342752257399247561337323765953157595511329034141
m: 50000000000000000000000000000000000000000000
deg: 4
c4: 8
c2: -15
c0: -5
skew: 0.89
# Murphy_E = 8.058e-11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4288716 hash collisions in 29162926 relations (27336921 unique)
Msieve: matrix is 760004 x 760229 (257.6 MB)

Sieving start time : 2022/05/25 04:04:09
Sieving end time  : 2022/05/25 08:30:36

Total sieving time: 4hrs 26min 27secs.

Total relation processing time: 0hrs 8min 34sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 38sec.

Prototype def-par.txt line would be:
snfs,175,4,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

16561210763544324384183515558572039407019861146604131254273095479230944095014619869720169504301020959934989305499879809523580995224566498247<140>

37480286556286561875690834559450354664537<41>
441864571624159992287802004690931399611700934821258917237233516648186669861683666516750099382764831<99>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:211817786
Step 1 took 5907ms
Step 2 took 3390ms
********** Factor found in step 2: 37480286556286561875690834559450354664537
Found prime factor of 41 digits: 37480286556286561875690834559450354664537
Prime cofactor 441864571624159992287802004690931399611700934821258917237233516648186669861683666516750099382764831 has 99 digits

GMP-ECM

2327751409481257515324945143948217026507496508314273191894736683902015032531424016277844273757975643733861569981373<115>

4680823555817182474649967754868020137171094392478180451<55>
497295269031963444036651747312785017676604895620578820381023<60>

2327751409481257515324945143948217026507496508314273191894736683902015032531424016277844273757975643733861569981373=4680823555817182474649967754868020137171094392478180451*497295269031963444036651747312785017676604895620578820381023

cado polynomial
n: 2327751409481257515324945143948217026507496508314273191894736683902015032531424016277844273757975643733861569981373
skew: 25421.995
c0: -646352381092917657130080030
c1: 12943544749497541913072
c2: 3169551927659590737
c3: 433365761971
c4: -1156773810
c5: 63000
Y0: -11760429363078847855258
Y1: 9342805703515177
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.065e-06
# f(x) = 63000*x^5-1156773810*x^4+433365761971*x^3+3169551927659590737*x^2+12943544749497541913072*x-646352381092917657130080030
# g(x) = 9342805703515177*x-11760429363078847855258

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: 4680823555817182474649967754868020137171094392478180451 497295269031963444036651747312785017676604895620578820381023
Info:Square Root: Total cpu/real time for sqrt: 145.46/44.1384
Info:Filtering - Singleton removal: Total cpu/real time for purge: 87.32/103.125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7081698
Info:Lattice Sieving: Average J: 1898.56 for 144531 special-q, max bucket fill -bkmult 1.0,1s:1.258130
Info:Lattice Sieving: Total time: 16428.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.12878
Info:Linear Algebra: Total cpu/real time for bwc: 2717.16/701.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1680.84, WCT time 430.85, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14080 iterations)
Info:Linear Algebra: Lingen CPU time 69.92, WCT time 17.81
Info:Linear Algebra: Mksol: CPU time 927.56,  WCT time 236.68, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.87/16.6423
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.75/31.1005
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 30.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 345.75
Info:Polynomial Selection (root optimized): Rootsieve time: 344.62
Info:Filtering - Merging: Merged matrix has 450012 rows and total weight 69829212 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.8/21.6632
Info:Filtering - Merging: Total cpu/real time for replay: 15.44/12.5199
Info:Quadratic Characters: Total cpu/real time for characters: 16.57/6.45076
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): 21793/32.970/40.781/46.440/1.072
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17167/32.480/36.089/41.450/0.826
Info:Polynomial Selection (size optimized): Total time: 1791.68
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 117.54/122.315
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 93.3s
Info:Square Root: Total cpu/real time for sqrt: 145.46/44.1384
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35539.8/9735.29
Info:root: Cleaning up computation data in /tmp/cado.d49xtk9_
4680823555817182474649967754868020137171094392478180451 497295269031963444036651747312785017676604895620578820381023

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)

466462700800521234305695001065653925812461357348969500797887106053344080999809559697649036860250794788103085898364000152969476465897592461679253472580884248515692767167817<171>

55819410665946235352828518331373529<35>
8356639656983986655126896618771071574051082327018750060597262931472512185527387911072558283892017836153998642057771401170667934631813873<136>

Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3688641108 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 466462700800521234305695001065653925812461357348969500797887106053344080999809559697649036860250794788103085898364000152969476465897592461679253472580884248515692767167817 (171 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3688641108
Step 1 took 7609ms
Step 2 took 6219ms
********** Factor found in step 2: 55819410665946235352828518331373529
Found probable prime factor of 35 digits: 55819410665946235352828518331373529
Probable prime cofactor 8356639656983986655126896618771071574051082327018750060597262931472512185527387911072558283892017836153998642057771401170667934631813873 has 136 digits

54297767740495658627382745719465008914697893989193609790023415804843166467570037567108802065631595964154262454665296550354829237098794378757103388489531<152>

20868664439951100767296863716704571359845296688479<50>
2601880340581243663891245329760542004433884889498200085744508582946834489128474659311777667477192673189<103>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 54297767740495658627382745719465008914697893989193609790023415804843166467570037567108802065631595964154262454665296550354829237098794378757103388489531 (152 digits)
Using B1=17530000, B2=58559766730, polynomial Dickson(12), sigma=1:1346334724
Step 1 took 35613ms
Step 2 took 15295ms
********** Factor found in step 2: 20868664439951100767296863716704571359845296688479
Found prime factor of 50 digits: 20868664439951100767296863716704571359845296688479
Prime cofactor 2601880340581243663891245329760542004433884889498200085744508582946834489128474659311777667477192673189 has 103 digits

140120784115907912620679025319825689744559810556699875292502136841957767595667465355136127341768499446522902742163745148317849986688525508988748301035492594616559474266817997113511847212297<189>

34335893670755505457345524207159521845217857330225240668404547246565455322316938739729<86>
4080883563407912394602097389678019252766057266460231907007126818696825580603745848539891725374690057593<103>

Number: n
N=140120784115907912620679025319825689744559810556699875292502136841957767595667465355136127341768499446522902742163745148317849986688525508988748301035492594616559474266817997113511847212297  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Jun 27 10:49:30 2022  p86 factor: 34335893670755505457345524207159521845217857330225240668404547246565455322316938739729
Mon Jun 27 10:49:30 2022  p103 factor: 4080883563407912394602097389678019252766057266460231907007126818696825580603745848539891725374690057593
Mon Jun 27 10:49:30 2022  elapsed time 00:59:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 2x10^193-15x10^96-2 = 6(96)16(96)
#
n: 140120784115907912620679025319825689744559810556699875292502136841957767595667465355136127341768499446522902742163745148317849986688525508988748301035492594616559474266817997113511847212297
m: 100000000000000000000000000000000
deg: 6
c6: 20
c3: -15
c0: -2
skew: 0.68
# Murphy_E = 1.92e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3618310 hash collisions in 27943831 relations (25498368 unique)
Msieve: matrix is 1596044 x 1596270 (554.8 MB)

Sieving start time : 2022/06/27 02:45:25
Sieving end time  : 2022/06/27 09:49:35

Total sieving time: 7hrs 4min 10secs.

Total relation processing time: 0hrs 49min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 29sec.

Prototype def-par.txt line would be:
snfs,193,6,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

1399638076313971277268161128189829992674896396274537015572571947977140576321688874346695474317230915765567845073643171608190001619865127999786566091527813419103739<163>

2235203821999124041423720710525746252967989341431045562440854367367162499<73>
626179171017237006264971003991399944478441210462251644072310014215980269521441854666558761<90>

Number: n
N=1399638076313971277268161128189829992674896396274537015572571947977140576321688874346695474317230915765567845073643171608190001619865127999786566091527813419103739  ( 163 digits)
SNFS difficulty: 195 digits.
Divisors found:

Fri Jul 22 03:29:45 2022  p73 factor: 2235203821999124041423720710525746252967989341431045562440854367367162499
Fri Jul 22 03:29:45 2022  p90 factor: 626179171017237006264971003991399944478441210462251644072310014215980269521441854666558761
Fri Jul 22 03:29:45 2022  elapsed time 01:02:17 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 2x10^195-15x10^97-2 = 6(97)16(97)
#
n: 1399638076313971277268161128189829992674896396274537015572571947977140576321688874346695474317230915765567845073643171608190001619865127999786566091527813419103739
m: 100000000000000000000000000000000
deg: 6
c6: 1000
c3: -75
c0: -1
skew: 0.32
# Murphy_E = 1.662e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3711355 hash collisions in 28298378 relations (26580059 unique)
Msieve: matrix is 1611934 x 1612160 (560.2 MB)

Sieving start time : 2022/07/21 18:51:08
Sieving end time  : 2022/07/22 02:26:58

Total sieving time: 7hrs 35min 50secs.

Total relation processing time: 0hrs 51min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 45sec.

Prototype def-par.txt line would be:
snfs,195,6,0,0,0,0,0,0,0,0,12400000,12400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119387] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153505] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.16 BogoMIPS (lpj=12798328)
[    0.152037] smpboot: Total of 16 processors activated (102386.62 BogoMIPS)

3946398722242034589288223887469141746312482442840167820510828224106455596912547174657768486838595745451173301293839096474722136891753185616518587030554384504849465138845598999306569077<184>

414588482789125002578136049879929161403112323497823380178999351536017125283<75>
9518833460333529261822763112468887419782873688111767449324033193610281143277093538248350915544210527592998919<109>

Number: n
N=3946398722242034589288223887469141746312482442840167820510828224106455596912547174657768486838595745451173301293839096474722136891753185616518587030554384504849465138845598999306569077  ( 184 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Aug 22 11:48:34 2022  p75 factor: 414588482789125002578136049879929161403112323497823380178999351536017125283
Mon Aug 22 11:48:34 2022  p109 factor: 9518833460333529261822763112468887419782873688111767449324033193610281143277093538248350915544210527592998919
Mon Aug 22 11:48:34 2022  elapsed time 01:36:53 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 2x10^197-15x10^98-2 = 6(98)16(98)
#
n: 3946398722242034589288223887469141746312482442840167820510828224106455596912547174657768486838595745451173301293839096474722136891753185616518587030554384504849465138845598999306569077
m: 1000000000000000000000000000000000
deg: 6
c6: 2
c3: -15
c0: -20
skew: 1.47
# Murphy_E = 1.319e-11
type: snfs
lss: 1
rlim: 14100000
alim: 14100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14100000/14100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3746832 hash collisions in 27671026 relations (25029403 unique)
Msieve: matrix is 1934901 x 1935126 (673.1 MB)

Sieving start time : 2022/08/22 01:19:56
Sieving end time  : 2022/08/22 10:11:11

Total sieving time: 8hrs 51min 15secs.

Total relation processing time: 1hrs 15min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 13min 41sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14100000,14100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030302803030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303<198>

2265229346220895738598259661998077771<37>

133774667689102406798021980440778806052369200904680529636978919463921986253347127347623737388436204422343267025016874254740731355410001911351633040504953422685693<162>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:242429970
Step 1 took 10489ms
Step 2 took 4762ms
********** Factor found in step 2: 2265229346220895738598259661998077771
Found prime factor of 37 digits: 2265229346220895738598259661998077771
Composite cofactor 133774667689102406798021980440778806052369200904680529636978919463921986253347127347623737388436204422343267025016874254740731355410001911351633040504953422685693 has 162 digits

133774667689102406798021980440778806052369200904680529636978919463921986253347127347623737388436204422343267025016874254740731355410001911351633040504953422685693<162>

115880319364870007910473422581504074949611358933541<51>
1154420944145733908236409430373461762525684426373724414525746741389869330407701185530195146370294842180189569273<112>

Number: n
N=133774667689102406798021980440778806052369200904680529636978919463921986253347127347623737388436204422343267025016874254740731355410001911351633040504953422685693  ( 162 digits)
SNFS difficulty: 199 digits.
Divisors found:

Sat Sep 10 19:42:51 2022  p51 factor: 115880319364870007910473422581504074949611358933541
Sat Sep 10 19:42:51 2022  p112 factor: 1154420944145733908236409430373461762525684426373724414525746741389869330407701185530195146370294842180189569273
Sat Sep 10 19:42:51 2022  elapsed time 01:30:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 2x10^199-15x10^99-2 = 6(99)16(99)
#
n: 133774667689102406798021980440778806052369200904680529636978919463921986253347127347623737388436204422343267025016874254740731355410001911351633040504953422685693
m: 1000000000000000000000000000000000
deg: 6
c6: 20
c3: -15
c0: -2
skew: 0.68
# Murphy_E = 1.223e-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, 34550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3990362 hash collisions in 28524728 relations (25656439 unique)
Msieve: matrix is 1989950 x 1990175 (690.4 MB)

Sieving start time : 2022/09/10 08:15:50
Sieving end time  : 2022/09/10 18:11:23

Total sieving time: 9hrs 55min 33secs.

Total relation processing time: 1hrs 19min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14700000,14700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

176460208223045703193929768837127227810128815952002823363331568731251102876301394035644962061055232031939297688371272278101288159520028233633315687312511028763013940356449620610552320451738133050997<198>

879968094184438378301434000841096222349313141<45>
200530234436045623211128764519054582784778706132085561902836124818396444782497226341877723500268014190873228829028932247099610823786958368977365720623617<153>

Number: n
N=176460208223045703193929768837127227810128815952002823363331568731251102876301394035644962061055232031939297688371272278101288159520028233633315687312511028763013940356449620610552320451738133050997  ( 198 digits)
SNFS difficulty: 201 digits.
Divisors found:

Thu Sep  8 03:54:18 2022  p45 factor: 879968094184438378301434000841096222349313141
Thu Sep  8 03:54:18 2022  p153 factor: 200530234436045623211128764519054582784778706132085561902836124818396444782497226341877723500268014190873228829028932247099610823786958368977365720623617
Thu Sep  8 03:54:18 2022  elapsed time 01:45:31 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 2x10^201-15x10^100-2 = 6(100)16(100)
#
n: 176460208223045703193929768837127227810128815952002823363331568731251102876301394035644962061055232031939297688371272278101288159520028233633315687312511028763013940356449620610552320451738133050997
m: 1000000000000000000000000000000000
deg: 6
c6: 1000
c3: -75
c0: -1
skew: 0.32
# Murphy_E = 1.059e-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, 34050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4049611 hash collisions in 27792444 relations (25575660 unique)
Msieve: matrix is 2143599 x 2143824 (746.8 MB)

Sieving start time : 2022/09/07 15:11:47
Sieving end time  : 2022/09/08 02:08:15

Total sieving time: 10hrs 56min 28secs.

Total relation processing time: 1hrs 29min 28sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 58sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,13700000,13700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

3030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030280303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303<202>

955271283335806931984832290065690030508606983945951845392681019341284827557<75>
3172191065684727124360776172683054641673324754699279768473121752785600547250879517797732889681799458706984786321593973906436979<127>

Number: 1
N=3030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030280303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303
  ( 202 digits)
SNFS difficulty: 204 digits.
Divisors found:
 r1=955271283335806931984832290065690030508606983945951845392681019341284827557 (pp75)
 r2=3172191065684727124360776172683054641673324754699279768473121752785600547250879517797732889681799458706984786321593973906436979 (pp127)
Version: Msieve v. 1.52 (SVN 927)
Total time: 551.72 hours.
Scaled time: 4276.92 units (timescale=7.752).
Factorization parameters were as follows:
n: 3030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030280303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303030303
m: 10000000000000000000000000000000000
deg: 6
c6: 2
c3: -15
c0: -20
skew: 1.47
# Murphy_E = 8.376e-12
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8900000, 20800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3580519 x 3580749
Total sieving time: 548.63 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.87 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,204.000,6,0,0,0,0,0,0,0,0,17800000,17800000,29,29,56,56,2.6,2.6,100000
total time: 551.72 hours.
 --------- CPU info (if available) ----------

GNFS, Msieve

7772000590672044891075411721731290851578104719935958715132862350097538607412934163382996417107727700186722314190895878508086766614594262709163965896461408131067017961093365043095743275276488921013157997<202>

28665432681867803827483867490742146887724814316434162011995619350643175926186674364044806523914969723319466736053616653899141694126685693179272345207<149>

1436970287345974431156472887816908754307618637985404204379831555278132524646982364095267484687565807363644685787407307485799887368889413470018882147817<151>

36015235570586857501318169197443449303460371006003581074823940376043542444534803710674574069879296421554643372644600026272539061152458731136705238920431103619301337827723<170>

236073516167136389510310486670697551086942475911113060067304032852088302857282812050001925675228089179025023796350308576349583752434776729229109621189872485115116250158505661132537718559284709517708341497771<207>

243563866020082685000073249139699227945543819240515488577159043319240763125006647740447<87>
969246875674371623822217217872285515583922575411106599234046854007895632237871409948621721453973797927534033380239144693<120>

Number: 66166_110
N = 236073516167136389510310486670697551086942475911113060067304032852088302857282812050001925675228089179025023796350308576349583752434776729229109621189872485115116250158505661132537718559284709517708341497771 (207 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=243563866020082685000073249139699227945543819240515488577159043319240763125006647740447 (pp87)
r2=969246875674371623822217217872285515583922575411106599234046854007895632237871409948621721453973797927534033380239144693 (pp120)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 25.75 hours.
Factorization parameters were as follows:
n: 236073516167136389510310486670697551086942475911113060067304032852088302857282812050001925675228089179025023796350308576349583752434776729229109621189872485115116250158505661132537718559284709517708341497771
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 20
c2: -15
c0: -2
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31036911
Relations: 7564622 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.09 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6566861 x 6567086
Matrix solve time: 15.95 hours.
time per square root: 0.46 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 25.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

15948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015937001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437<221>

1516400954926322095382904073460502029718181952602222230024175763<64>
10517642623193473183968889433751574265933769181520945721265638225621636201137187590938057283080081067814591808007409363965661990403830930772408547731090643399<158>

Number: 66166_111
N = 15948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015937001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437 (221 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=1516400954926322095382904073460502029718181952602222230024175763 (pp64)
r2=10517642623193473183968889433751574265933769181520945721265638225621636201137187590938057283080081067814591808007409363965661990403830930772408547731090643399 (pp158)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 26.41 hours.
Factorization parameters were as follows:
n: 15948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015948963317384370015937001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437001594896331738437
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -75
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30262535
Relations: 8095626 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.38 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6881309 x 6881534
Matrix solve time: 16.48 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 26.41 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

1486277490264097903447787859147467646315591051136283792489920445299879412222913985323225713653418182899322082530738115086361542886496662847687229152976665310803407943069732147508908539309187148061128035356082721<211>

160373895865477117136293988515422239892680039040436765525192537526134574071931615307864169186991137366849741605104901149501781698883246627890175263921509901645567000532503731623134839071216599828230639101284951447<213>

678071700054767056018398729887636460956281895823532031465198993050724862485891926766417507844884265327827327179404134804785293865571498569664534967808286886659782534023230042746285165490049422965629166747274073315884607371<222>

5830848545891900297897046790194918713<37>

116290398338763164546831773051203704015510561554764513824976253582973619985960875751422266424992478063404518384897141195446449170535670189551695486909649190391505269224509858934218647267<186>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 11:13:33 2022 
Input number is 678071700054767056018398729887636460956281895823532031465198993050724862485891926766417507844884265327827327179404134804785293865571498569664534967808286886659782534023230042746285165490049422965629166747274073315884607371 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3414421588
Step 1 took 0ms
Step 2 took 3793ms
********** Factor found in step 2: 5830848545891900297897046790194918713
Found prime factor of 37 digits: 5830848545891900297897046790194918713
Composite cofactor 116290398338763164546831773051203704015510561554764513824976253582973619985960875751422266424992478063404518384897141195446449170535670189551695486909649190391505269224509858934218647267 has 186 digits

2100467884234892178569729530739617954927742459594259061700517766578906122955269903469359838165377241014422608570597059953781116261298210081632691914260706910515105774791736385762925521202408988625462433012349<208>

350683499246506807219267006816574466971<39>
401988374529739928424295626736380254478449<42>

14900032671124612846287306560159477720912367732703248321543489372071248333296865402816243730774176588739121336266535845356335031<128>

Resuming ECM residue saved by @15051e7e3575 with GMP-ECM 7.0.5-dev on Sat Jul 30 10:12:59 2022 
Input number is 2100467884234892178569729530739617954927742459594259061700517766578906122955269903469359838165377241014422608570597059953781116261298210081632691914260706910515105774791736385762925521202408988625462433012349 (208 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1299804264
Step 1 took 0ms
Step 2 took 7417ms
********** Factor found in step 2: 401988374529739928424295626736380254478449
Found prime factor of 42 digits: 401988374529739928424295626736380254478449
Composite cofactor 5225195595997254979178076800918508137945782855974940819736910681767669246639242384828234769820680162846790725754666532892583650272147013653758361486801349496919761101 has 166 digits
Resuming ECM residue saved by @15051e7e3575 with GMP-ECM 7.0.5-dev on Sat Jul 30 10:12:59 2022 
Input number is 5225195595997254979178076800918508137945782855974940819736910681767669246639242384828234769820680162846790725754666532892583650272147013653758361486801349496919761101 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1299804265
--
Resuming ECM residue saved by @15051e7e3575 with GMP-ECM 7.0.5-dev on Sat Jul 30 10:12:59 2022 
Input number is 5225195595997254979178076800918508137945782855974940819736910681767669246639242384828234769820680162846790725754666532892583650272147013653758361486801349496919761101 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1299804955
Step 1 took 0ms
Step 2 took 6084ms
********** Factor found in step 2: 350683499246506807219267006816574466971
Found prime factor of 39 digits: 350683499246506807219267006816574466971
Composite cofactor 14900032671124612846287306560159477720912367732703248321543489372071248333296865402816243730774176588739121336266535845356335031 has 128 digits

14900032671124612846287306560159477720912367732703248321543489372071248333296865402816243730774176588739121336266535845356335031<128>

26587833043629296527410166087036466031519200876291<50>
560407937219795565024445036518577281558888897807381494384325544690388806958141<78>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3743320690
Step 1 took 17875ms
Step 2 took 9453ms
********** Factor found in step 2: 26587833043629296527410166087036466031519200876291
Found prime factor of 50 digits: 26587833043629296527410166087036466031519200876291
Prime cofactor 560407937219795565024445036518577281558888897807381494384325544690388806958141 has 78 digits
 

GMP-ECM

447590126772178781942906126007369970137577198318366647799494807812034120778633532578354527393734050315228307446894509180566766621852017969351193968510566606767052343339183545749741235311040995322618329765875093<210>

282175029093979434663541557028304497<36>

1586214514478200828384218073739361950570839320773588138248814503056261562527374131591368015227728150009306602014882233069357890811980452941207701979716235938384273836269978469<175>

GPU: factor 282175029093979434663541557028304497 found in Step 1 with curve 1623 (-sigma 3:-635293507)
Computing 1792 Step 1 took 260ms of CPU time / 175359ms of GPU time
Throughput: 10.219 curves per second (on average 97.86ms per Step 1)
********** Factor found in step 1: 282175029093979434663541557028304497
Found prime factor of 36 digits: 282175029093979434663541557028304497
Composite cofactor 1586214514478200828384218073739361950570839320773588138248814503056261562527374131591368015227728150009306602014882233069357890811980452941207701979716235938384273836269978469 has 175 digits
Peak memory usage: 9428MB

1586214514478200828384218073739361950570839320773588138248814503056261562527374131591368015227728150009306602014882233069357890811980452941207701979716235938384273836269978469<175>

303575806321354335453374279871281223143<39>

5225101873892716233200888176000406672894710184184621968663764782349434693216891643581848262881559168616487907277960685072159090500803283<136>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2130563465
Step 1 took 33505ms
Step 2 took 14801ms
********** Factor found in step 2: 303575806321354335453374279871281223143
Found prime factor of 39 digits: 303575806321354335453374279871281223143
Composite cofactor 5225101873892716233200888176000406672894710184184621968663764782349434693216891643581848262881559168616487907277960685072159090500803283 has 136 digits

5225101873892716233200888176000406672894710184184621968663764782349434693216891643581848262881559168616487907277960685072159090500803283<136>

1547897590572582420165134210413635770855313064143507455219<58>
3375612124287821956966414852124988309800524488168561578418297929601676199748257<79>

PID2915 2022-08-22 10:51:22,804 Info:root: Command line parameters: ./cado-nfs.py workdir=temp 5225101873892716233200888176000406672894710184184621968663764782349434693216891643581848262881559168616487907277960685072159090500803283
PID291Info:Square Root: finished
Square Root: Factor: 3375612124287821956966414852124988309800524488168561578418297929601676199748257 
Square Root: Factor:1547897590572582420165134210413635770855313064143507455219

CADO-NFS.

Ubuntu 20.04.4.

40494974067192806111091846118940271069322879507641323132452231778289170874990716532881800990297025626015916937036855212803784142976488755192337145589212486658203001725737968287933889771152487167678069760639997952306406453531<224>

5671055857880593211086077673491113767166850109261273419257361360408820730483222033294119543675114129473229986397571599736701188054771306854885926805391485175908994770820891878699680501477106740483946973796053969779<214>

943092260333408819782589533243030614841131972686517373188111662697763753494886809421788824932392585882963979667549460157809355615487364604512419006418101273568468305942753663707192282829781121283360945428000349581003<216>

783684690765001351919573141751911708356155786046930002818880559638613679246408468659016645181860834390603992092730599064604929602007403553542792910929494256443113015235164227240909527781275133005854639395948487560025511<219>

4495389365184608019493539185106798739275883412772590107371412257285587751335413759303660905399824684084092567073798834303802352422700032803140251250877237731906097257612298961193007170599035937289042418343952969991629<217>

295322937850184755053538699228555430467260904417231130551647904079624495295624047283448016613226295685839091750819895847938021367675364481685669035783693240266709633590114216512307002781969859270802874581703923721066790986181445937955229761021<243>

8499400475841016764230702247424147670687842842919251413426236775593113763219278971201456729791238431594362927086806376358480630857209542169391434306922014315054221781717621423323543721669568007431831050163<205>

1501327386406969952701644217596288902215490516427313886174800784519786135132237727432427692295642823611382283597315091625289013276637170500705971747908550076928539377220351502520612341273832015710014037781759<208>

14980007246537773388815335717481170806027872176735484294174902259756006288621639242974661595100581198790127065105365975859256125015464693518399799128628585802523105294301141703474704636943931220567906904288274209848584771163309631<230>

18432377858318869318601934655610373397<38>

812700746571176766700205576885066507724038078761005025087726469467615761548142933939930490671521443891810208137520497807919608233169456026168237780784667810614953520382892829810993347270859523<192>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 11:26:48 2022 
Input number is 14980007246537773388815335717481170806027872176735484294174902259756006288621639242974661595100581198790127065105365975859256125015464693518399799128628585802523105294301141703474704636943931220567906904288274209848584771163309631 (230 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2376542029
Step 1 took 0ms
Step 2 took 3984ms
********** Factor found in step 2: 18432377858318869318601934655610373397
Found prime factor of 38 digits: 18432377858318869318601934655610373397
Composite cofactor 812700746571176766700205576885066507724038078761005025087726469467615761548142933939930490671521443891810208137520497807919608233169456026168237780784667810614953520382892829810993347270859523 has 192 digits

3722266946931667969961059484645444835085687318667820513255836348088266082131714830872679784877373558657021076121829727722301577953388356540166040596217761727306826240540560928034324042534271250072143060057763967570404526893<223>

5000506595099232804714916429283567422639<40>

744377969740044159716933582292176918550289041883069376421484634868808685153827993818347390498149355343368033340652493003121198695358945394614460835301977412622673920597626913498690787<183>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 11:29:43 2022 
Input number is 3722266946931667969961059484645444835085687318667820513255836348088266082131714830872679784877373558657021076121829727722301577953388356540166040596217761727306826240540560928034324042534271250072143060057763967570404526893 (223 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1694647424
Step 1 took 0ms
Step 2 took 3934ms
********** Factor found in step 2: 5000506595099232804714916429283567422639
Found prime factor of 40 digits: 5000506595099232804714916429283567422639
Composite cofactor 744377969740044159716933582292176918550289041883069376421484634868808685153827993818347390498149355343368033340652493003121198695358945394614460835301977412622673920597626913498690787 has 183 digits

514065502132772569521433113282584012540410908021182260603787144713449214642089299339953118215974862297651996450203852509116009683760999117813202490642745994438177410920591561752433585598533369727647695915912939751854496272741858172321519607918965256630051<255>

354750357817836522732598001434553741600812734779641436057278272627629695787184226484867387699117556310259293165375467156202657549115360700947187097469281970514498080650373579765329797459236333079697<198>

1847627220634570094272377597887224822043948989831293472476934988654847515858840318802775561387381150881451049844160996996360040690428694003275366059718795633697531365883933849694988363783427554641588726604058450951398913086026369949<232>

188950330406963702740070052890176539798127234391593119016758774683569144499563389780022330556810684841920909071300994353058792965713838313232365968630745376588316564130929406512627913311875030244611141974700093465875773<219>

315764854412513772398999180172880040099608604526204680839170891460624151106697255774593657055404403163391890604296600166360182861697948675064546043303603603661920146330856926025942341101778295048544154074994802536822850397519445426063080454779651923841745361934413<264>

3076081800770087554318097237721043377703<40>

102651644157662848498662487571623238386846566636650217920857374617719949864110914588409573450121950448893039687927554663649692598998288140460537454090229665468082357614376148587252568197173300530761224445320760961240954622571<225>

Resuming ECM residue saved by @7903756bfe05 with GMP-ECM 7.0.5-dev on Mon Jun 27 23:31:58 2022 
Input number is 315764854412513772398999180172880040099608604526204680839170891460624151106697255774593657055404403163391890604296600166360182861697948675064546043303603603661920146330856926025942341101778295048544154074994802536822850397519445426063080454779651923841745361934413 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3911777443
Step 1 took 0ms
Step 2 took 4560ms
********** Factor found in step 2: 3076081800770087554318097237721043377703
Found prime factor of 40 digits: 3076081800770087554318097237721043377703
Composite cofactor 102651644157662848498662487571623238386846566636650217920857374617719949864110914588409573450121950448893039687927554663649692598998288140460537454090229665468082357614376148587252568197173300530761224445320760961240954622571 has 225 digits

91474950296137438535004344881481104875796886699142227641268011861284555914261698059261590069995831648345799827260252835017175520166517030682838275346685373704572291405717940081973704732047908557<194>

167410960442428395336592305951962244848186177<45>

546409566341357405166509469052972574291021466599616710249536740009604766908804081526817695603414612406603137158613079822155313685583177502320728908941<150>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:696532789
Step 1 took 36781ms
Step 2 took 8812ms
********** Factor found in step 2: 167410960442428395336592305951962244848186177
Found prime factor of 45 digits: 167410960442428395336592305951962244848186177
Composite cofactor 546409566341357405166509469052972574291021466599616710249536740009604766908804081526817695603414612406603137158613079822155313685583177502320728908941 has 150 digits

GMP-ECM

109071638743105095779640849146652886857268901011814340846894072244157092208790152132070073785283474304318257380812199394309505321175824488178764291367668366971757946872329603008309498293415337398240241042125505495458491905127931156054574620164199707<249>

162762880362609655387036294657454938689664410610381960534233346956586419683761489228271196162311701658244501422303430048664473599616660864169981727425236091627037974370380280821308004824942825469200624293303918825594202516411788134162838076813337181047825105425586682871339035568083957<285>

2205378486140726804574396192311272072693125139013<49>

73802697081458532763518814655392278363407320960919865612481908532556468475967114549783708409952746192123529279272157956812805882478912133611930851692375968113399843143682243224328533826559940034275438581505965857330223142136963510408689<236>

Resuming ECM residue saved by @2188b51b7a09 with GMP-ECM 7.0.5-dev on Fri Aug  5 05:30:03 2022 
Input number is 162762880362609655387036294657454938689664410610381960534233346956586419683761489228271196162311701658244501422303430048664473599616660864169981727425236091627037974370380280821308004824942825469200624293303918825594202516411788134162838076813337181047825105425586682871339035568083957 (285 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4265751224
Step 1 took 0ms
Step 2 took 36453ms
********** Factor found in step 2: 2205378486140726804574396192311272072693125139013
Found prime factor of 49 digits: 2205378486140726804574396192311272072693125139013
Composite cofactor 73802697081458532763518814655392278363407320960919865612481908532556468475967114549783708409952746192123529279272157956812805882478912133611930851692375968113399843143682243224328533826559940034275438581505965857330223142136963510408689 has 236 digits

558637059885821921125621464834990594583502945546164815841754184071982082136214275272830170133346895494427839615756828585134974271138220448277288341419807087020246310776275871585584218010492759088058851264618130459802364442668788976142522548499039421832650413<258>

6959467246152579829478533911716991557<37>
29311380002287896079214461791571946615509<41>
2738529870006420937205544480286461994548643602343567650015597690418140439168664664971379344693188013459637540108535496719127313191021162388354097301704482199473095436834107954203301<181>

Resuming ECM residue saved by @7903756bfe05 with GMP-ECM 7.0.5-dev on Mon Jun 27 23:40:52 2022 
Input number is 558637059885821921125621464834990594583502945546164815841754184071982082136214275272830170133346895494427839615756828585134974271138220448277288341419807087020246310776275871585584218010492759088058851264618130459802364442668788976142522548499039421832650413 (258 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1477321122
Step 1 took 0ms
Step 2 took 8191ms
********** Factor found in step 2: 6959467246152579829478533911716991557
Found prime factor of 37 digits: 6959467246152579829478533911716991557
Composite cofactor 80270089667374278282787232557829933917594184098477068832058206120463751182567808905459454670674935682233826545131276390013522700065200309014714601416629703900539326851336349756590467781845787246703584848871804977465595209 has 221 digits
Resuming ECM residue saved by @7903756bfe05 with GMP-ECM 7.0.5-dev on Mon Jun 27 23:40:52 2022 
Input number is 80270089667374278282787232557829933917594184098477068832058206120463751182567808905459454670674935682233826545131276390013522700065200309014714601416629703900539326851336349756590467781845787246703584848871804977465595209 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1477321123
--
Resuming ECM residue saved by @7903756bfe05 with GMP-ECM 7.0.5-dev on Mon Jun 27 23:40:52 2022 
Input number is 80270089667374278282787232557829933917594184098477068832058206120463751182567808905459454670674935682233826545131276390013522700065200309014714601416629703900539326851336349756590467781845787246703584848871804977465595209 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1477321445
Step 1 took 0ms
Step 2 took 6867ms
********** Factor found in step 2: 29311380002287896079214461791571946615509
Found prime factor of 41 digits: 29311380002287896079214461791571946615509
Prime cofactor 2738529870006420937205544480286461994548643602343567650015597690418140439168664664971379344693188013459637540108535496719127313191021162388354097301704482199473095436834107954203301 has 181 digits

978009665686971871048796615066984657825213040140662518603852034667279446954736782899343118965197107539141055304862623868296115307529876038109151353915568998437921265836134453841971351319435192542697526721335843228669061674516698026534227268370559834995631599424551<264>

144100671868854762415032097572754501047886778314438267315695346903788500573406717468344875260532915786201357951185315329623081620149748873731268622577287974723931740093102213253824594575292106390023999485986717625143127258957844376204199792781548542414402921261591727262356913049<279>

6795444434993572579846337624479066109428251852084341116328858377116215210532439957438560770175609922081850068553829706241618343674420512281781687733521880814778685369435186608624047463238249774969993960239484897376668141329642462764634389858254535052108687012383297033779<271>

90562495452606228368407484997103554769<38>
75035967163137748028727442832548702178740836342046595923589115254954455275524375366188084695677909113239788394031157288671963496144658344851684626060729717622993496341483270355967018033086917687194751635999103914308844459505898084291<233>

Resuming ECM residue saved by @2188b51b7a09 with GMP-ECM 7.0.5-dev on Fri Aug  5 06:18:56 2022 
Input number is 6795444434993572579846337624479066109428251852084341116328858377116215210532439957438560770175609922081850068553829706241618343674420512281781687733521880814778685369435186608624047463238249774969993960239484897376668141329642462764634389858254535052108687012383297033779 (271 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3333919876
Step 1 took 0ms
Step 2 took 35056ms
********** Factor found in step 2: 90562495452606228368407484997103554769
Found prime factor of 38 digits: 90562495452606228368407484997103554769
Prime cofactor 75035967163137748028727442832548702178740836342046595923589115254954455275524375366188084695677909113239788394031157288671963496144658344851684626060729717622993496341483270355967018033086917687194751635999103914308844459505898084291 has 233 digits

2360023606574811037991253451822277020548607796988234369171521150882091388817475281660774406921328604878136314643106461473249199827611433473903549041756394597289704540911128996150200344352357386805872199636991085749881060106113787579656919870462626602831087503<259>