2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683<112>

5224399501303614415461314915094260749047631323132286937<55>
410541560397224370922664434600555656085991560566628077259<57>

N=2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683
  ( 112 digits)
SNFS difficulty: 118 digits.
Divisors found:
p55 factor: 5224399501303614415461314915094260749047631323132286937
p57 factor: 410541560397224370922664434600555656085991560566628077259
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2144833123403666701115986371796328758437278545980008571413109774407112029055691350990127564115001596415792465683
m: 100000000000000000000000000000
deg: 4
c4: 325
c0: 2
skew: 0.28
# Murphy_E = 4.949e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 580001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56380 x 56608
Total sieving time: 0.50 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,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.51 hours.
 --------- CPU info (if available) ----------
[    0.116401] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071049] Memory: 15875048K/16489528K available (16393K kernel code, 3512K rwdata, 10500K rodata, 2900K init, 5728K bss, 614220K reserved, 0K cma-reserved)
[    0.133045] x86/mm: Memory block size: 128MB
[    0.112404] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.129790] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

2624377274916419206093038064591037594409728285690482331507027823006341216000639786820430710539<94>

829533642274419350801218836041580930126756631<45>
3163677928385024754477015742711078352935789313069<49>

prp49 = 3163677928385024754477015742711078352935789313069
prp45 = 829533642274419350801218836041580930126756631

Yafu

183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189<129>

92442684389721629999523162891373724321456565822286815181<56>
1989037595554061820678670846893611980389073116227479063821173048525584769<73>

Number: n
N=183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189  ( 129 digits)
SNFS difficulty: 137 digits.
Divisors found:

Thu Jun 30 08:25:43 2022  p56 factor: 92442684389721629999523162891373724321456565822286815181
Thu Jun 30 08:25:43 2022  p73 factor: 1989037595554061820678670846893611980389073116227479063821173048525584769
Thu Jun 30 08:25:43 2022  elapsed time 00:02:44 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^136+8 = 43(135)6
#
n: 183871974685094915675124313579044904240550527854573086671512060943568287884537542578101657983213654176690376646634352496651578189
m: 10000000000000000000000000000000000
deg: 4
c4: 13
c0: 8
skew: 0.89
# Murphy_E = 6.168e-09
type: snfs
lss: 1
rlim: 1350000
alim: 1350000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1350000/1350000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6275000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 513843 hash collisions in 6258486 relations (6412742 unique)
Msieve: matrix is 217937 x 218185 (70.8 MB)

Sieving start time : 2022/06/30 08:12:49
Sieving end time  : 2022/06/30 08:22:48

Total sieving time: 0hrs 9min 59secs.

Total relation processing time: 0hrs 1min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,137,4,0,0,0,0,0,0,0,0,1350000,1350000,26,26,48,48,2.3,2.3,100000
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)

931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689<126>

1574627067098529861676127880902758693880407423249612294741937<61>
591401627966405792970735847130664233744551256423695174497539892497<66>

931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689=1574627067098529861676127880902758693880407423249612294741937*591401627966405792970735847130664233744551256423695174497539892497

cado polynomial
n: 931237010922037448915885808729487189471208423236009530913819544874682461767456246906941504851098557014269161834870813337546689
skew: 0.50
type: snfs
c0: 4
c4: 65
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 65*x^4+4
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1390000
tasks.lim1 = 1390000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 591401627966405792970735847130664233744551256423695174497539892497 1574627067098529861676127880902758693880407423249612294741937
Info:Square Root: Total cpu/real time for sqrt: 21.13/6.82805
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.09/40.9326
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6094161
Info:Lattice Sieving: Average J: 1890.53 for 80268 special-q, max bucket fill -bkmult 1.0,1s:1.321200
Info:Lattice Sieving: Total time: 7321.17s
Info:Linear Algebra: Total cpu/real time for bwc: 275.63/72.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 157.96, WCT time 40.84, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 19.33, WCT time 4.95
Info:Linear Algebra: Mksol: CPU time 86.52,  WCT time 22.49, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.4/11.2271
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.43/23.4828
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.4s
Info:Filtering - Merging: Merged matrix has 143510 rows and total weight 24398427 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.02/8.14838
Info:Filtering - Merging: Total cpu/real time for replay: 4.43/3.69071
Info:Generate Factor Base: Total cpu/real time for makefb: 0.72/0.38377
Info:Quadratic Characters: Total cpu/real time for characters: 4.53/1.76333
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.62/46.8273
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.9s
Info:Square Root: Total cpu/real time for sqrt: 21.13/6.82805
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 13626.4/3996.97
Info:root: Cleaning up computation data in /tmp/cado.cxh7d8od
591401627966405792970735847130664233744551256423695174497539892497 1574627067098529861676127880902758693880407423249612294741937

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)

1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787<130>

6003420752219193808379527231507897<34>
38204078999834221766712110758290717115851871381<47>
4970259857788332509359210569777387011742253262791<49>

Number: n
N=1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787  ( 130 digits)
SNFS difficulty: 141 digits.
Divisors found:

Thu Jun 30 08:06:18 2022  found factor: 4970259857788332509359210569777387011742253262791
Thu Jun 30 08:06:34 2022  p34 factor: 6003420752219193808379527231507897
Thu Jun 30 08:06:34 2022  p47 factor: 38204078999834221766712110758290717115851871381
Thu Jun 30 08:06:34 2022  p49 factor: 4970259857788332509359210569777387011742253262791
Thu Jun 30 08:06:34 2022  elapsed time 00:03:10 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 13x10^141+8 = 43(140)6
#
n: 1139954748339319335299802361014116437059291786595961719275065999847244157016681371365239809862374713514992791577632841725477777787
m: 100000000000000000000000000000000000
deg: 4
c4: 65
c0: 4
skew: 0.50
# Murphy_E = 3.633e-09
type: snfs
lss: 1
rlim: 1620000
alim: 1620000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6410000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 380675 hash collisions in 5952937 relations (6250179 unique)
Msieve: matrix is 243084 x 243309 (82.2 MB)

Sieving start time : 2022/06/30 07:47:04
Sieving end time  : 2022/06/30 08:03:12

Total sieving time: 0hrs 16min 8secs.

Total relation processing time: 0hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,141,4,0,0,0,0,0,0,0,0,1620000,1620000,26,26,48,48,2.3,2.3,100000
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)

22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351<128>

3346594592636300955381400369207075211551820224748976413255711689<64>
6674239120126893483689910832914490522300939840974514788880541359<64>

Number: n
N=22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351  ( 128 digits)
SNFS difficulty: 142 digits.
Divisors found:

Thu Jun 30 08:53:02 2022  p64 factor: 3346594592636300955381400369207075211551820224748976413255711689
Thu Jun 30 08:53:02 2022  p64 factor: 6674239120126893483689910832914490522300939840974514788880541359
Thu Jun 30 08:53:02 2022  elapsed time 00:02:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 13x10^142+8 = 43(141)6
#
n: 22335972549378324814857355107841718746466654840458318343448313077949056938617357628688916748454472794978829151182086917144245351
m: 100000000000000000000000000000000000
deg: 4
c4: 325
c0: 2
skew: 0.28
# Murphy_E = 3.351e-09
type: snfs
lss: 1
rlim: 1660000
alim: 1660000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1660000/1660000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6430000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 390399 hash collisions in 5952904 relations (6240949 unique)
Msieve: matrix is 248284 x 248509 (83.0 MB)

Sieving start time : 2022/06/30 08:33:11
Sieving end time  : 2022/06/30 08:49:55

Total sieving time: 0hrs 16min 44secs.

Total relation processing time: 0hrs 1min 18sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 9sec.

Prototype def-par.txt line would be:
snfs,142,4,0,0,0,0,0,0,0,0,1660000,1660000,26,26,48,48,2.3,2.3,100000
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)

5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109<115>

79586518518405247057479583689328826920125008359562089<53>
72075452486262157573511591883875198214527456739998665442890181<62>

5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109=79586518518405247057479583689328826920125008359562089*72075452486262157573511591883875198214527456739998665442890181

cado polynomial
n: 5736234334020340709363481537454233978475613421876463343948861020997178156367885744404269969577207339604151677948109
skew: 0.72
type: snfs
c0: 5
c5: 26
Y0: 50000000000000000000000000000
Y1: -1
# f(x) = 26*x^5+5
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1820000
tasks.lim1 = 1820000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 72075452486262157573511591883875198214527456739998665442890181 79586518518405247057479583689328826920125008359562089
Info:Square Root: Total cpu/real time for sqrt: 51.5/41.0424
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.19/63.4996
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6124923
Info:Lattice Sieving: Average J: 1892.82 for 61645 special-q, max bucket fill -bkmult 1.0,1s:1.237460
Info:Lattice Sieving: Total time: 12975s
Info:Linear Algebra: Total cpu/real time for bwc: 494.24/492.21
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 232.21, WCT time 240.09, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 119.62, WCT time 102.9
Info:Linear Algebra: Mksol: CPU time 127.38,  WCT time 134.46, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.54/38.5115
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 38.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 30.43/21.864
Info:Filtering - Merging: Merged matrix has 170003 rows and total weight 28969885 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.14/30.3282
Info:Filtering - Merging: Total cpu/real time for replay: 5.8/6.42752
Info:Generate Factor Base: Total cpu/real time for makefb: 0.8/0.913535
Info:Quadratic Characters: Total cpu/real time for characters: 5.69/4.733
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.67/77.2658
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 72.2s
Info:Square Root: Total cpu/real time for sqrt: 51.5/41.0424
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12569.8/7515.95
Info:root: Cleaning up computation data in /tmp/cado.9gulrpbu
72075452486262157573511591883875198214527456739998665442890181 79586518518405247057479583689328826920125008359562089

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)

24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549<137>

16575565845523810521908945456183336019523029551880327529<56>
1468918525807607415932795660221107120448184104914496913983748713365765684992714381<82>

N=24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549
  ( 137 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=16575565845523810521908945456183336019523029551880327529 (pp56)
 r2=1468918525807607415932795660221107120448184104914496913983748713365765684992714381 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.91 hours.
Scaled time: 46.44 units (timescale=7.855).
Factorization parameters were as follows:
n: 24348155746233763504349358166764778896023398556239760197858279538354370539140407881168319151183770737703138210603749858628301565028494549
m: 100000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 1.69e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343043 x 343268
Total sieving time: 5.85 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,148.000,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 5.91 hours.

GNFS, Msieve

28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151<101>

106390691655926268402058599548829455973523<42>
264016654005800110821298743312044417925026679587635145958637<60>

N=28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151
  ( 101 digits)
Divisors found:
p42 factor: 106390691655926268402058599548829455973523
p60 factor: 264016654005800110821298743312044417925026679587635145958637
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.77 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 28088914428360450456176434030540780876304867949741883444698711226033575574173274257080527451925168151
skew: 2087946.59
c0: 76992603011645690442002458072
c1: 14880231371177197633674
c2: -68318905060471741
c3: -7029687870
c4: 10080
Y0: -1292019200198068696113477
Y1: 6174229438501
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248148 x 248374
Total sieving time: 1.72 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.77 hours.
 --------- CPU info (if available) ----------

5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377<103>

323868602280013865127593217722496129793318460689<48>
18264843677245799892571270112165423373377763379845312793<56>

N=5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377
  ( 103 digits)
Divisors found:
p48 factor: 323868602280013865127593217722496129793318460689
p56 factor: 18264843677245799892571270112165423373377763379845312793
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.19 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 5915409392612545895595686595505045168861880191894490082461911275721393106344349139737235848874479294377
skew: 481723.13
c0: 276182855684791324592365204
c1: 2134818960408074576980
c2: -20390507138567413
c3: -24209102254
c4: 31920
Y0: -3689611117022159017884987
Y1: 5071938886177
rlim: 2220000
alim: 2220000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 50000
type: gnfs
Factor base limits: 2220000/2220000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1110000, 1610001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 248589 x 248816
Total sieving time: 2.14 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2220000,2220000,26,26,52,52,2.5,2.5,100000
total time: 2.19 hours.
 --------- CPU info (if available) ----------

3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297<106>

5776487211920225100542145622465956057636714661352831<52>
672509086640825308767702281649081164839419072129596087<54>

3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297=5776487211920225100542145622465956057636714661352831*672509086640825308767702281649081164839419072129596087

cado polynomial
n: 3884740138880878088451318391035628857847875757100450377471785749866027582784229090120536350239689023972297
skew: 14142.07
c0: 3044502550684149668090180
c1: 231292193747730871109
c2: -64181352086227408
c3: 4631205933493
c4: 135327890
c5: 4800
Y0: -363146024668855430046
Y1: 2912390294406203
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.942e-06
# f(x) = 4800*x^5+135327890*x^4+4631205933493*x^3-64181352086227408*x^2+231292193747730871109*x+3044502550684149668090180
# g(x) = 2912390294406203*x-363146024668855430046

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.sieve.ncurves0 = 13
tasks.sieve.ncurves1 = 16
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 5776487211920225100542145622465956057636714661352831 672509086640825308767702281649081164839419072129596087
Info:Square Root: Total cpu/real time for sqrt: 63.03/19.3697
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.15/51.3725
Info:Generate Free Relations: Total cpu/real time for freerel: 62.1/16.0634
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5071306
Info:Lattice Sieving: Average J: 1895.5 for 59621 special-q, max bucket fill -bkmult 1.0,1s:1.339710
Info:Lattice Sieving: Total time: 5470.15s
Info:Linear Algebra: Total cpu/real time for bwc: 634.84/166.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 373.93, WCT time 97.14, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Linear Algebra: Lingen CPU time 32.54, WCT time 8.32
Info:Linear Algebra: Mksol: CPU time 211.76,  WCT time 54.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.56/0.4349
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.79/21.0353
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 140.24
Info:Polynomial Selection (root optimized): Rootsieve time: 139.62
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 68.22/73.3323
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 52.400000000000006s
Info:Filtering - Merging: Merged matrix has 229678 rows and total weight 33303850 (145.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.54/9.36361
Info:Filtering - Merging: Total cpu/real time for replay: 7.25/5.79479
Info:Quadratic Characters: Total cpu/real time for characters: 8.55/3.27154
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11569/29.790/37.426/42.050/0.999
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9216/29.490/33.151/37.780/0.816
Info:Polynomial Selection (size optimized): Total time: 504.22
Info:Square Root: Total cpu/real time for sqrt: 63.03/19.3697
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11395.2/3258.45
Info:root: Cleaning up computation data in /tmp/cado.l7fxvi6v
5776487211920225100542145622465956057636714661352831 672509086640825308767702281649081164839419072129596087

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)

15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379<116>

5671302238767864449726591751710564508023<40>
2794478012844808866002987667315619845369486589030146086989971599694209776973<76>

15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379=5671302238767864449726591751710564508023*2794478012844808866002987667315619845369486589030146086989971599694209776973

cado polynomial
n: 15848329410434337590051124829206740298505884437882902929083315501560968444635442651539720209960590017139576299154379
skew: 0.91
type: snfs
c0: 8
c5: 13
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 13*x^5+8
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3400000
tasks.lim1 = 3400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2794478012844808866002987667315619845369486589030146086989971599694209776973 5671302238767864449726591751710564508023
Info:Square Root: Total cpu/real time for sqrt: 127.34/40.0652
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.37/71.4222
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633816
Info:Lattice Sieving: Average J: 1893.89 for 213851 special-q, max bucket fill -bkmult 1.0,1s:1.246910
Info:Lattice Sieving: Total time: 26832s
Info:Linear Algebra: Total cpu/real time for bwc: 2228.82/574.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1382.69, WCT time 352.58, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12160 iterations)
Info:Linear Algebra: Lingen CPU time 57.89, WCT time 14.76
Info:Linear Algebra: Mksol: CPU time 752.62,  WCT time 192.45, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.34/47.1021
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 47.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.52/85.0241
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.0s
Info:Filtering - Merging: Merged matrix has 386745 rows and total weight 65948197 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 79.03/22.1445
Info:Filtering - Merging: Total cpu/real time for replay: 12.48/10.4263
Info:Generate Factor Base: Total cpu/real time for makefb: 1.45/0.792844
Info:Quadratic Characters: Total cpu/real time for characters: 12.75/5.02303
Info:Square Root: Total cpu/real time for sqrt: 127.34/40.0652
Info:Generate Free Relations: Total cpu/real time for freerel: 59.75/16.8427
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 51982.5/14478.6
Info:root: Cleaning up computation data in /tmp/cado.js07_zps
2794478012844808866002987667315619845369486589030146086989971599694209776973 5671302238767864449726591751710564508023

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)

10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529<134>

188231813889632579595743214250879440580921901792146230844807<60>
53281140925778335002506230384333909951305101000309099252224569506684232847<74>

Number: n
N=10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:

Mon Jul  4 03:25:43 2022  p60 factor: 188231813889632579595743214250879440580921901792146230844807
Mon Jul  4 03:25:43 2022  p74 factor: 53281140925778335002506230384333909951305101000309099252224569506684232847
Mon Jul  4 03:25:43 2022  elapsed time 00:08:14 (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 = 13x10^165+8 = 43(164)6
#
n: 10029205802568393279247613193721711442830330094576822404050457061631397211366277257774460851070432516328243492272838888426603508775529
m: 1000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 4.016e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1044997 hash collisions in 11967241 relations (11685061 unique)
Msieve: matrix is 565605 x 565832 (194.0 MB)

Sieving start time : 2022/07/04 02:21:56
Sieving end time  : 2022/07/04 03:17:03

Total sieving time: 0hrs 55min 7secs.

Total relation processing time: 0hrs 4min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723<110>

966802984011725862940750809020176789894977229309949<51>
16367232407495720106277783931560205775820939456042290700927<59>

15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723=966802984011725862940750809020176789894977229309949*16367232407495720106277783931560205775820939456042290700927

cado polynomial
n: 15823889131580286089907868346269351911231706420266317117755251796787250050087766189047687185191966151744622723
skew: 6115.77
c0: 635245712308894328950875
c1: -391946793472782141475
c2: 23833399054727533
c3: 46691325747
c4: -1611928920
c5: -115200
Y0: -768907692010773149628
Y1: 29599174683090241
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.593e-06
# f(x) = -115200*x^5-1611928920*x^4+46691325747*x^3+23833399054727533*x^2-391946793472782141475*x+635245712308894328950875
# g(x) = 29599174683090241*x-768907692010773149628

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
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: 966802984011725862940750809020176789894977229309949 16367232407495720106277783931560205775820939456042290700927
Info:Square Root: Total cpu/real time for sqrt: 91.14/27.0991
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.97/69.8367
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5191709
Info:Lattice Sieving: Average J: 1898.75 for 86709 special-q, max bucket fill -bkmult 1.0,1s:1.298730
Info:Lattice Sieving: Total time: 8209.11s
Info:Linear Algebra: Total cpu/real time for bwc: 1179.38/305.08
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 718.52, WCT time 183.77, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 45.28, WCT time 11.52
Info:Linear Algebra: Mksol: CPU time 391.27,  WCT time 100.09, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.13/16.2975
Info:Generate Factor Base: Total cpu/real time for makefb: 2.36/0.637704
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.48/21.8412
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 258.76
Info:Polynomial Selection (root optimized): Rootsieve time: 257.77
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 83.21/92.0071
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 66.1s
Info:Filtering - Merging: Merged matrix has 299419 rows and total weight 46646349 (155.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.98/13.7751
Info:Filtering - Merging: Total cpu/real time for replay: 10.08/8.13068
Info:Quadratic Characters: Total cpu/real time for characters: 11.35/4.35954
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11775/31.430/38.755/44.560/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9143/30.910/34.350/39.230/0.880
Info:Polynomial Selection (size optimized): Total time: 697.55
Info:Square Root: Total cpu/real time for sqrt: 91.14/27.0991
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 17351.4/4880.61
Info:root: Cleaning up computation data in /tmp/cado.ap48pm6r
966802984011725862940750809020176789894977229309949 16367232407495720106277783931560205775820939456042290700927

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)

1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839<154>

290441120748613415079184718662491304471107482681250305987339761853<66>
3886174474638995950065158919959226073149963540745351060118277197858153207697648293065763<88>

Number: n
N=1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839  ( 154 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jul  2 20:23:52 2022  p66 factor: 290441120748613415079184718662491304471107482681250305987339761853
Sat Jul  2 20:23:52 2022  p88 factor: 3886174474638995950065158919959226073149963540745351060118277197858153207697648293065763
Sat Jul  2 20:23:52 2022  elapsed time 00:11:37 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 13x10^167+8 = 43(166)6
#
n: 1128704869838803924465444112488039909822226151029929107019855297918276754518317902160469809854365183733404259794480706319422064535130540911417391687738839
m: 1000000000000000000000000000000000
deg: 5
c5: 325
c0: 2
skew: 0.36
# Murphy_E = 2.972e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1358123 hash collisions in 13190186 relations (12639606 unique)
Msieve: matrix is 623470 x 623696 (212.6 MB)

Sieving start time : 2022/07/02 19:05:16
Sieving end time  : 2022/07/02 20:12:00

Total sieving time: 1hrs 6min 44secs.

Total relation processing time: 0hrs 6min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 25sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977<158>

1627097004018832866088838677591518833997332015464993157968790203994478606329<76>
14777767485470464942832505266907383128016193249567933001323401410172759081644377313<83>

Number: n
N=24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977  ( 158 digits)
SNFS difficulty: 168 digits.
Divisors found:

Thu Jul  7 21:27:34 2022  p76 factor: 1627097004018832866088838677591518833997332015464993157968790203994478606329
Thu Jul  7 21:27:34 2022  p83 factor: 14777767485470464942832505266907383128016193249567933001323401410172759081644377313
Thu Jul  7 21:27:34 2022  elapsed time 00:10:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 13x10^168+8 = 43(167)6
#
n: 24044861201695914755115660127989426285396552390534179718017162725728616366924013620938714709714872333257601534914608242145911335849835746504242814831265813977
m: 1000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 2.86e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1103300 hash collisions in 12286064 relations (11962659 unique)
Msieve: matrix is 684334 x 684559 (236.9 MB)

Sieving start time : 2022/07/07 20:25:28
Sieving end time  : 2022/07/07 21:16:39

Total sieving time: 0hrs 51min 11secs.

Total relation processing time: 0hrs 6min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 50sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239<162>

763109953935369498481259322284197938147126055221624554790221464653025517<72>
589299777077902529995639112683541887763420075882535710070362519837554801737630240465380867<90>

Number: n
N=449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239  ( 162 digits)
SNFS difficulty: 169 digits.
Divisors found:

Tue Jul  5 06:11:08 2022  p72 factor: 763109953935369498481259322284197938147126055221624554790221464653025517
Tue Jul  5 06:11:08 2022  p90 factor: 589299777077902529995639112683541887763420075882535710070362519837554801737630240465380867
Tue Jul  5 06:11:08 2022  elapsed time 00:10:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 13x10^169+8 = 43(168)6
#
n: 449700525740041713944028861198590547228531635906182120300065650741982344674337810441072087160319399729222168359630021276508012597924365020782114173068949274583239
m: 5000000000000000000000000000000000
deg: 5
c5: 26
c0: 5
skew: 0.72
# Murphy_E = 2.963e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1101369 hash collisions in 12460246 relations (12156949 unique)
Msieve: matrix is 677794 x 678020 (235.7 MB)

Sieving start time : 2022/07/05 05:06:30
Sieving end time  : 2022/07/05 06:00:24

Total sieving time: 0hrs 53min 54secs.

Total relation processing time: 0hrs 6min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481<133>

228824894748057637668820451946106386421843672291372929308671<60>
4572139419942693047719889804014296500689143505867357391773650833602321111<73>

1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481=228824894748057637668820451946106386421843672291372929308671*4572139419942693047719889804014296500689143505867357391773650833602321111

cado polynomial
n: 1046219321541832036293862715995601839095518894217283195433982129630085682375028361782842751363479132862851193073524091769466178653481
skew: 0.23
type: snfs
c0: 1
c5: 1625
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 1625*x^5+1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 5400000
tasks.lim1 = 5400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 228824894748057637668820451946106386421843672291372929308671 4572139419942693047719889804014296500689143505867357391773650833602321111
Info:Square Root: Total cpu/real time for sqrt: 384.22/117.949
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12031354
Info:Lattice Sieving: Average J: 1892.36 for 531073 special-q, max bucket fill -bkmult 1.0,1s:1.178310
Info:Lattice Sieving: Total time: 71312.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.66/54.2026
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 157.3/152.38
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 124.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.82/17.4048
Info:Filtering - Merging: Merged matrix has 872085 rows and total weight 148311870 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 198.77/56.104
Info:Filtering - Merging: Total cpu/real time for replay: 32.21/27.045
Info:Linear Algebra: Total cpu/real time for bwc: 11732.1/3019.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 7404.92, WCT time 1896.95, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Linear Algebra: Lingen CPU time 155.32, WCT time 39.48
Info:Linear Algebra: Mksol: CPU time 4034.08,  WCT time 1032.89, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.37/1.38576
Info:Quadratic Characters: Total cpu/real time for characters: 30.76/12.1359
Info:Square Root: Total cpu/real time for sqrt: 384.22/117.949
Info:Filtering - Singleton removal: Total cpu/real time for purge: 103.86/122.827
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 144576/39238.1
Info:root: Cleaning up computation data in /tmp/cado.59ixzxk6
228824894748057637668820451946106386421843672291372929308671 4572139419942693047719889804014296500689143505867357391773650833602321111

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)

54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667<176>

2585395810120141325173295133105904780509740984049242700795766269391<67>
20951015103621438896194337743660783136131516408578117336732089882543482864041336211290864469041828441696731237<110>

Number: n
N=54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667  ( 176 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Jul  9 05:17:13 2022  p67 factor: 2585395810120141325173295133105904780509740984049242700795766269391
Sat Jul  9 05:17:13 2022  p110 factor: 20951015103621438896194337743660783136131516408578117336732089882543482864041336211290864469041828441696731237
Sat Jul  9 05:17:13 2022  elapsed time 00:22:48 (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 = 13x10^176+8 = 43(175)6
#
n: 54166666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666667
m: 100000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 1.421e-10
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1231673 hash collisions in 11802147 relations (11276813 unique)
Msieve: matrix is 1031683 x 1031909 (360.5 MB)

Sieving start time : 2022/07/09 03:09:12
Sieving end time  : 2022/07/09 04:54:11

Total sieving time: 1hrs 44min 59secs.

Total relation processing time: 0hrs 17min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6200000,6200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043<116>

21216974848941718407718839488671760718296737699<47>
877563509399178324020305557177580553821976818404615842919580696107857<69>

18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043=21216974848941718407718839488671760718296737699*877563509399178324020305557177580553821976818404615842919580696107857

cado polynomial
n: 18619242907271395803349168290690185692377763505373688483763595355009843235427497416867213819540471641569189742001043
skew: 8921.99
c0: -22078866760528161121873608
c1: 1428222239565679525482
c2: 82653617042014157
c3: -102638430243613
c4: -1633330570
c5: 538200
Y0: -12817883450639564165891
Y1: 613402963570717
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.018e-06
# f(x) = 538200*x^5-1633330570*x^4-102638430243613*x^3+82653617042014157*x^2+1428222239565679525482*x-22078866760528161121873608
# g(x) = 613402963570717*x-12817883450639564165891

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: 877563509399178324020305557177580553821976818404615842919580696107857 21216974848941718407718839488671760718296737699
Info:Square Root: Total cpu/real time for sqrt: 141.32/42.9863
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): 21984/33.800/41.128/46.860/1.062
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17420/32.760/36.404/41.640/0.837
Info:Polynomial Selection (size optimized): Total time: 1768.43
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 129.46/140.505
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 103.50000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 15.85/6.25982
Info:Square Root: Total cpu/real time for sqrt: 141.32/42.9863
Info:Linear Algebra: Total cpu/real time for bwc: 2609.53/673.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1612.65, WCT time 412.72, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 67.87, WCT time 17.28
Info:Linear Algebra: Mksol: CPU time 891.08,  WCT time 227.89, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.3/116.753
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7360115
Info:Lattice Sieving: Average J: 1902.61 for 165923 special-q, max bucket fill -bkmult 1.0,1s:1.253660
Info:Lattice Sieving: Total time: 18566.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/1.136
Info:Generate Free Relations: Total cpu/real time for freerel: 63.49/16.9062
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.98/33.3609
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 374.28
Info:Polynomial Selection (root optimized): Rootsieve time: 373.19
Info:Filtering - Merging: Merged matrix has 441785 rows and total weight 68739160 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 72.84/21.5308
Info:Filtering - Merging: Total cpu/real time for replay: 14.81/12.0852
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39406.1/10812.9
Info:root: Cleaning up computation data in /tmp/cado.y2ndhgu1
877563509399178324020305557177580553821976818404615842919580696107857 21216974848941718407718839488671760718296737699

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)

6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723<160>

1957304031174855363458534265890395950181231<43>
552299601360622037705827593786619885997965720693<48>
5626894932180635551078299264566617009137995040041511592113935436938081<70>

Number: n
N=6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723  ( 160 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Jul 10 01:08:52 2022  found factor: 552299601360622037705827593786619885997965720693
Sun Jul 10 01:10:18 2022  p43 factor: 1957304031174855363458534265890395950181231
Sun Jul 10 01:10:18 2022  p48 factor: 552299601360622037705827593786619885997965720693
Sun Jul 10 01:10:18 2022  p70 factor: 5626894932180635551078299264566617009137995040041511592113935436938081
Sun Jul 10 01:10:18 2022  elapsed time 00:28:26 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 13x10^178+8 = 43(177)6
#
n: 6082776034640240049738881843985532658967401717234719989240200123562932382731010447670252310759462530591871629139701779843501741798723796335353484985482689813723
m: 100000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 1.143e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1457550 hash collisions in 11777151 relations (10965558 unique)
Msieve: matrix is 1060085 x 1060311 (367.7 MB)

Sieving start time : 2022/07/09 23:36:58
Sieving end time  : 2022/07/10 00:41:36

Total sieving time: 1hrs 4min 38secs.

Total relation processing time: 0hrs 18min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 10sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116860] 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)
[    0.154123] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6398.87 BogoMIPS (lpj=12797740)
[    0.152024] smpboot: Total of 16 processors activated (102381.92 BogoMIPS)

31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377<167>

756260718782908756433022804109811253344095748501219<51>
42010134666015191907421129785402399048848638307310976740465548069845583218315598942529521334548292648724130539042883<116>

Number: n
N=31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377  ( 167 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri Jul 15 03:40:51 2022  p51 factor: 756260718782908756433022804109811253344095748501219
Fri Jul 15 03:40:51 2022  p116 factor: 42010134666015191907421129785402399048848638307310976740465548069845583218315598942529521334548292648724130539042883
Fri Jul 15 03:40:51 2022  elapsed time 00:19:57 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 13x10^180+8 = 43(179)6
#
n: 31770614638687441519767868827328635559187706979810719259279675299920271273655567369549548507117547948460346755329903934572388035498071453598388039544863014610018774377
m: 1000000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 1.012e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2974586 hash collisions in 29202201 relations (28044311 unique)
Msieve: matrix is 836010 x 836235 (284.0 MB)

Sieving start time : 2022/07/15 01:32:49
Sieving end time  : 2022/07/15 03:20:23

Total sieving time: 1hrs 47min 34secs.

Total relation processing time: 0hrs 10min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] 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)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449<168>

26049278030472232422509957329215447222540083670513796110884071369<65>
14583113010025070310659277505712499190667230844250192840039293119976546569003782152411624837575541737321<104>

Number: n
N=379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449  ( 168 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Jul 14 19:37:08 2022  p65 factor: 26049278030472232422509957329215447222540083670513796110884071369
Thu Jul 14 19:37:08 2022  p104 factor: 14583113010025070310659277505712499190667230844250192840039293119976546569003782152411624837575541737321
Thu Jul 14 19:37:08 2022  elapsed time 00:20:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^181+8 = 43(180)6
#
n: 379879565347939852577122606940992153969792475937187706559755093322202224660183318876729737414977015298454828722872250602828994769348762269978508645517983445940014862449
m: 1000000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 8.929e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3098491 hash collisions in 28806988 relations (27449560 unique)
Msieve: matrix is 887357 x 887584 (304.5 MB)

Sieving start time : 2022/07/14 16:36:35
Sieving end time  : 2022/07/14 19:15:25

Total sieving time: 2hrs 38min 50secs.

Total relation processing time: 0hrs 12min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 48sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] 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)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

201786742755045683711412771322609529005776353506928791743328554650735522611458707919377143805638115307849021246753235787014179945569236862282957092948673412354015207865863299627<177>

3496887380213425177660393363604106421109047<43>
57704672989134140667370281505309389591149036930439023139545399653635386864788381820329701590955073994953466669146635090797641111892141<134>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 201786742755045683711412771322609529005776353506928791743328554650735522611458707919377143805638115307849021246753235787014179945569236862282957092948673412354015207865863299627 (177 digits)
Using B1=21260000, B2=96186180106, polynomial Dickson(12), sigma=1:2301772049
Step 1 took 57404ms
Step 2 took 21427ms
********** Factor found in step 2: 3496887380213425177660393363604106421109047
Found prime factor of 43 digits: 3496887380213425177660393363604106421109047
Prime cofactor 57704672989134140667370281505309389591149036930439023139545399653635386864788381820329701590955073994953466669146635090797641111892141 has 134 digits

517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271<177>

2664829454630910321658189936622618746964317415685895037841271816852303<70>
194212042601940296461881854589924712758997692725862012214231843450387529358959332772184182332153589149133057<108>

Number: n
N=517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271  ( 177 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Jul 11 07:59:05 2022  p70 factor: 2664829454630910321658189936622618746964317415685895037841271816852303
Mon Jul 11 07:59:05 2022  p108 factor: 194212042601940296461881854589924712758997692725862012214231843450387529358959332772184182332153589149133057
Mon Jul 11 07:59:05 2022  elapsed time 00:31:07 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 13x10^187+8 = 43(186)6
#
n: 517541971569683681828998994054497927160339122865581654662866175132303428765522762434475981222037193939431492528930460296261399437311061905910610893191931937588671180595063880271
m: 10000000000000000000000000000000000000
deg: 5
c5: 325
c0: 2
skew: 0.36
# Murphy_E = 4.669e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3189444 hash collisions in 28587843 relations (27091234 unique)
Msieve: matrix is 1123959 x 1124185 (389.2 MB)

Sieving start time : 2022/07/11 03:17:32
Sieving end time  : 2022/07/11 07:27:30

Total sieving time: 4hrs 9min 58secs.

Total relation processing time: 0hrs 21min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 42sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

863376713217083041019611861529324643907771429237005835111328562611275374572912655845751434904582937200670736762240402873985638491261744217<138>

27322248878466199214739735446655245257<38>
31599767539543428289194523645132675521441439734248975694266385362601775679165501708425354841920011281<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1483727349
Step 1 took 5937ms
Step 2 took 3329ms
********** Factor found in step 2: 27322248878466199214739735446655245257
Found prime factor of 38 digits: 27322248878466199214739735446655245257
Prime cofactor 31599767539543428289194523645132675521441439734248975694266385362601775679165501708425354841920011281 has 101 digits
 

GMP-ECM

106044085456947289471602573026611192972619133760196428397194587840124567843138525135958939974012235477568157596105022462188485670437134181897888040846545157533<159>

27564830672622737722387644914666161147286609131<47>
3847079153737366667962355508107911237975517834883262438831511408200165954057436993426148932595646437860607937943<112>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 106044085456947289471602573026611192972619133760196428397194587840124567843138525135958939974012235477568157596105022462188485670437134181897888040846545157533 (159 digits)
Using B1=25630000, B2=96191014936, polynomial Dickson(12), sigma=1:1262816148
Step 1 took 58785ms
Step 2 took 18802ms
********** Factor found in step 2: 27564830672622737722387644914666161147286609131
Found prime factor of 47 digits: 27564830672622737722387644914666161147286609131
Prime cofactor 3847079153737366667962355508107911237975517834883262438831511408200165954057436993426148932595646437860607937943 has 112 digits

258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341<183>

114643735851693234015693418614369452560260821848894819971986535571969055461<75>
2253760873926789759598414670490156820636055753701232694553382191866082170993794767242450932559958904256049081<109>

Number: n
N=258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341  ( 183 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Jul 13 17:26:02 2022  p75 factor: 114643735851693234015693418614369452560260821848894819971986535571969055461
Wed Jul 13 17:26:02 2022  p109 factor: 2253760873926789759598414670490156820636055753701232694553382191866082170993794767242450932559958904256049081
Wed Jul 13 17:26:02 2022  elapsed time 00:49:25 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 13x10^193+8 = 43(192)6
#
n: 258379566303344182012857420345462438047882800769360365070404770539456068703237727621744923727537472702997212911564503864033269930760899174750056571454753839803543247433260755227081341
m: 100000000000000000000000000000000000000
deg: 5
c5: 1625
c0: 1
skew: 0.23
# Murphy_E = 2.792e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3219699 hash collisions in 28211603 relations (26631336 unique)
Msieve: matrix is 1449350 x 1449575 (502.9 MB)

Sieving start time : 2022/07/13 11:34:54
Sieving end time  : 2022/07/13 16:36:04

Total sieving time: 5hrs 1min 10secs.

Total relation processing time: 0hrs 39min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118884] 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)
[    0.153519] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.06 BogoMIPS (lpj=12798120)
[    0.152037] smpboot: Total of 16 processors activated (102384.96 BogoMIPS)

6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243<190>

49201934510052148553755654521212114135136596279712461647536667<62>
136981326463109094176557364627153946010220516523924828488358904101449641673140015130146089269022087772339325535857836009844929729<129>

Number: n
N=6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243  ( 190 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Jul 20 15:33:57 2022  p62 factor: 49201934510052148553755654521212114135136596279712461647536667
Wed Jul 20 15:33:57 2022  p129 factor: 136981326463109094176557364627153946010220516523924828488358904101449641673140015130146089269022087772339325535857836009844929729
Wed Jul 20 15:33:57 2022  elapsed time 00:59:17 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 13x10^195+8 = 43(194)6
#
n: 6739746253737966960726980137449348214693061586764382618505476821494191375613316909090154993426155192507890687537068604395558818283998390755971415180811838727204104401780122518218052565873243
m: 1000000000000000000000000000000000000000
deg: 5
c5: 13
c0: 8
skew: 0.91
# Murphy_E = 2.449e-11
type: snfs
lss: 1
rlim: 13000000
alim: 13000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13000000/13000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3263612 hash collisions in 28302616 relations (26675987 unique)
Msieve: matrix is 1563238 x 1563464 (543.0 MB)

Sieving start time : 2022/07/20 09:37:22
Sieving end time  : 2022/07/20 14:34:08

Total sieving time: 4hrs 56min 46secs.

Total relation processing time: 0hrs 47min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 39sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13000000,13000000,28,28,55,55,2.5,2.5,100000
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)

6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557<178>

1969439320921919576608053801875228416360785502375797447232769741252443334605051<79>
3084933004742656369503094962795788673370252666357560838432441441475131660296879683785975164845267207<100>

Number: n
N=6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557  ( 178 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Jul 26 04:37:36 2022  p79 factor: 1969439320921919576608053801875228416360785502375797447232769741252443334605051
Tue Jul 26 04:37:36 2022  p100 factor: 3084933004742656369503094962795788673370252666357560838432441441475131660296879683785975164845267207
Tue Jul 26 04:37:36 2022  elapsed time 01:08:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 13x10^196+8 = 43(195)6
#
n: 6075588361949994064944405072774100243167693887014722331854195776832703683085306784283407301736348623922373608084847338820491315928863263079181442342970344458310294320741906862557
m: 1000000000000000000000000000000000000000
deg: 5
c5: 65
c0: 4
skew: 0.57
# Murphy_E = 2.159e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3345944 hash collisions in 28519167 relations (26812635 unique)
Msieve: matrix is 1651440 x 1651665 (577.7 MB)

Sieving start time : 2022/07/25 19:42:22
Sieving end time  : 2022/07/26 03:27:49

Total sieving time: 7hrs 45min 27secs.

Total relation processing time: 0hrs 54min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 19sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

972606583088700034303564816608887859907322821945376800587882163639295152017536232707852408150163882538792055702529241324224585562947824340696092037535080584235471826440896036371443979<183>

9946817593402149127523510203885650905867<40>
97780679494297992939607422216075129381704099180143170317748413099610357695110043048442393036447737151980042265495688192048812149101960865460737<143>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 972606583088700034303564816608887859907322821945376800587882163639295152017536232707852408150163882538792055702529241324224585562947824340696092037535080584235471826440896036371443979 (183 digits)
Using B1=23390000, B2=96188942866, polynomial Dickson(12), sigma=1:450169888
Step 1 took 64015ms
Step 2 took 22283ms
********** Factor found in step 2: 9946817593402149127523510203885650905867
Found prime factor of 40 digits: 9946817593402149127523510203885650905867
Prime cofactor 97780679494297992939607422216075129381704099180143170317748413099610357695110043048442393036447737151980042265495688192048812149101960865460737 has 143 digits

1657153660171622594949414980383927994776009846794947684691741688435618361019991657954438604192645562289156032867524958309996269321877779486773367303741<151>

32071018231841074823703579712121314051357160637026818607629557598533167480848511487137042462589648289369047290907718775137660985237894555730168660677880685599310247<164>

291123810580468846963576848767243873615865857947<48>
110162814123293430143321507482301612372876629211757915080087432638858202481233892900486158179276123285237528447900901<117>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 32071018231841074823703579712121314051357160637026818607629557598533167480848511487137042462589648289369047290907718775137660985237894555730168660677880685599310247 (164 digits)
Using B1=46700000, B2=240494804566, polynomial Dickson(12), sigma=1:2241639979
Step 1 took 108587ms
Step 2 took 34684ms
********** Factor found in step 2: 291123810580468846963576848767243873615865857947
Found prime factor of 48 digits: 291123810580468846963576848767243873615865857947
Prime cofactor 110162814123293430143321507482301612372876629211757915080087432638858202481233892900486158179276123285237528447900901 has 117 digits

77380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381<203>

210075627686227827582899763935924044317435649691349077057<57>
368348071755043167752000088097004285141779222315770175126985621835478813968405505438603259355953729335414326661228223901267529380546843269540033533<147>

Number: n
N=77380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381  ( 203 digits)
SNFS difficulty: 204 digits.
Divisors found:

Tue Sep 12 20:28:27 2023  prp57 factor: 210075627686227827582899763935924044317435649691349077057
Tue Sep 12 20:28:27 2023  prp147 factor: 368348071755043167752000088097004285141779222315770175126985621835478813968405505438603259355953729335414326661228223901267529380546843269540033533
Tue Sep 12 20:28:27 2023  elapsed time 02:20:33 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.085).
Factorization parameters were as follows:
#
# N = 13x10^204+8 = 43(203)6
#
n: 77380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952380952381
m: 50000000000000000000000000000000000000000
deg: 5
c5: 26
c0: 5
skew: 0.72
# Murphy_E = 1.092e-11
type: snfs
lss: 1
rlim: 18200000
alim: 18200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18200000/18200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3236862 hash collisions in 19707550 relations (16964022 unique)
Msieve: matrix is 2084813 x 2085038 (589.2 MB)

Sieving start time: 2023/09/12 04:03:59
Sieving end time  : 2023/09/12 18:07:29

Total sieving time: 14hrs 3min 30secs.

Total relation processing time: 2hrs 10min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 32sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,18200000,18200000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

172435355666201182225175599656763939268703578317237161658184075872952847324223099082810721447343129357841442074246270101907100765611010866699<141>

7479283184040678962452115513698661543263<40>

23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573<101>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4195788268
Step 1 took 3500ms
Step 2 took 2704ms
********** Factor found in step 2: 7479283184040678962452115513698661543263
Found prime factor of 40 digits: 7479283184040678962452115513698661543263
Composite cofactor 23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573 has 101 digits
 

GMP-ECM

23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573<101>

657191959673361101857904335583028806388763549<45>
35081172382526917620112555640320153769235219928049498777<56>

N=23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573
  ( 101 digits)
Divisors found:
p45 factor: 657191959673361101857904335583028806388763549
p56 factor: 35081172382526917620112555640320153769235219928049498777
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.65 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23055064425711859250958796536879246394060236644038112458056785852935366855717214590876818054217679573
skew: 505596.53
c0: 120308940673924353569933733
c1: -799594950994639975068
c2: -7612755821231552
c3: 8160584311
c4: 10920
Y0: -1205412486653743361674330
Y1: 3558317951899
rlim: 1940000
alim: 1940000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 50000
Factor base limits: 1940000/1940000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [970000, 1320001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 202634 x 202860
Total sieving time: 1.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,100,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1940000,1940000,26,26,52,52,2.5,2.5,100000
total time: 1.65 hours.
 --------- CPU info (if available) ----------

30482085912586756706058900769086475332958169199024573250797223785406115175389232789345338585631213655974488838867004314387544550740949165259801163008816357156255861939598574376289626711686362783717876571<203>

68266591270448366877047149180618073316277664364812185022606483738155693288050457360270035854695868871252758404578409393770283249213<131>

3521594805813354799982628928338581989397978963<46>
19385135154605435690020225517678697087911826169607710383559899168812962843134956296751<86>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4160390634
Step 1 took 17672ms
Step 2 took 9422ms
********** Factor found in step 2: 3521594805813354799982628928338581989397978963
Found prime factor of 46 digits: 3521594805813354799982628928338581989397978963
Prime cofactor 19385135154605435690020225517678697087911826169607710383559899168812962843134956296751 has 86 digits
 
-

GMP-ECM

51841604398611795544687461477757445118476180792483375043461052344911929992019990898708309075371723299830599444180943991344202660838381273455313077483760106703000785180798557749891510407444621<191>

738420006083698256592038724711499844454524201179044360532839962015964219451645032142491715500561692275037684894638598502905779976164673012904171049015378793095419817<165>

721111100016327496989250591676457988784506540520029682875322930757381430125272786266062594707442908775980308601884146895816935055687359974709136188232030942940178721343621601272801381316779<189>

18322204999952756986164354565237151280181283901208498715781961548099339876691864222447779058966012931319684952291541210347479480264432917986006192739<149>

46873434188018252782483118888634044450071000334909063289178240483068559044155829074709581086882884659478109337716117902878515062998783850753477657259504376408915697643647318727512563460799448324018024767<203>

78763811388858875797787229579338301980865826176087044112155695323748780921000305353626870541794076954843420098868085198167065242987160923500658491269469149762180424839825447639717339433340412878485671<200>

17221785295661650590692651063498537637473669022846626780398661283418856358656092107610936466005066461380615610133706915558595543460735332136904346678102487256450542665574077410777<179>

18365679476581101742048688346943236527010029555194284596875756753392053134115804472590039763921918478683446066955696442870565488070416108488232991968022469495498860107736603907804746123<185>

421381790843509465813030625092062235849025782993021357547045678309180637773277364232177554814283427485452658822522103314057417003768738814168071799112209074361290808558441123768527003778719266891<195>

31252970755769939456162813864232582652430585155027841285195334001704907778148037094283320878613483415770514834687023350518714454513204268176224694467141975014481889873610797<173>

32655392200224047873835500287962905406694916464336854131499482504876822106798299293082896551077757539649838233262815743533801955528920341991467771627267821421970466707939509831881692504143863911167542981339221<209>

227837822877336424009670656229733020225967606105788822352414378565174918538427606688254554429860280901361295779425401515595157435873502670432679854222995391338068922761657788868368457515626034444063727310027451<210>

271711092367060390078657336111972370321859265956082132166670319497595718334632788595780258906845670937099372767068525968134117270044479446516783324393365842535640864530467729813915380309287622801373707699<204>

260749999774380669203508221449442359<36>
1042036788503026013292561853091074720693814462904813358896431427988296557938340717898054887539063333776640614301433279248333092691773704651681536934572587786639044828261<169>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3418357787 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 271711092367060390078657336111972370321859265956082132166670319497595718334632788595780258906845670937099372767068525968134117270044479446516783324393365842535640864530467729813915380309287622801373707699 (204 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3418357787
Step 1 took 10407ms
Step 2 took 7187ms
********** Factor found in step 2: 260749999774380669203508221449442359
Found probable prime factor of 36 digits: 260749999774380669203508221449442359
Probable prime cofactor 1042036788503026013292561853091074720693814462904813358896431427988296557938340717898054887539063333776640614301433279248333092691773704651681536934572587786639044828261 has 169 digits

3968489193947172841945423601781945574678603718303496339530874051670950655383709576602333711687655913145345000850480602614572047148625971907855939836738455323<157>

345956754041938542395585115225590768098132394332813094023325709675400367342063693790655357328885250726851546127541773158483815882509925904595925683613483441586695500943881222677783982458958488738290428271<204>

2076489892691416457257806647960795505941516841997469507033119455828663994553027152152027406873602106122731096693024506177325719784329259727092791369227277054643578726252282977482218371019830151<193>

160542793688344418521951475457865950641637030956881259545314421365384289087235794357820396827558389950960254977486774320879706137216393970176511142163765111049134447931217<171>

5732080564800533257619543044447521647101<40>

28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517<131>

C:\MYDATA\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4039852946 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 160542793688344418521951475457865950641637030956881259545314421365384289087235794357820396827558389950960254977486774320879706137216393970176511142163765111049134447931217 (171 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4039852946
Step 1 took 4656ms
Step 2 took 4110ms
********** Factor found in step 2: 5732080564800533257619543044447521647101
Found probable prime factor of 40 digits: 5732080564800533257619543044447521647101
Composite cofactor 28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517 has 131 digits

28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517<131>

2462895196969975846989761183532462028427617625559150949<55>
11371888647986226158707011804389416734472060148580265949986853595820256360833<77>

28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517=2462895196969975846989761183532462028427617625559150949*11371888647986226158707011804389416734472060148580265949986853595820256360833

cado polynomial
n: 28007769931602668803652722826415366896774997418841629589726209171534234751741312985989651763214374795282942626861509259208058380517
skew: 463559.641
c0: 83524529160273818630967886285452
c1: 385167228928485300612301820
c2: -331834940313520820871
c3: -5440228384688921
c4: 4783177200
c5: 5400
Y0: -31508709679161939135299115
Y1: 72582137227188721
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.576e-07
# f(x) = 5400*x^5+4783177200*x^4-5440228384688921*x^3-331834940313520820871*x^2+385167228928485300612301820*x+83524529160273818630967886285452
# g(x) = 72582137227188721*x-31508709679161939135299115

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2462895196969975846989761183532462028427617625559150949 11371888647986226158707011804389416734472060148580265949986853595820256360833
Info:Square Root: Total cpu/real time for sqrt: 628.73/187.088
Info:Generate Free Relations: Total cpu/real time for freerel: 250.24/63.2509
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.46/124.78
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.39999999999999s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38634/38.710/46.586/50.750/0.839
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30629/37.350/41.844/47.410/1.008
Info:Polynomial Selection (size optimized): Total time: 4818.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 391.13/368.561
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 317.09999999999997s
Info:Linear Algebra: Total cpu/real time for bwc: 43628.4/11185.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27847.62, WCT time 7109.89, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (51712 iterations)
Info:Linear Algebra: Lingen CPU time 323.73, WCT time 82.21
Info:Linear Algebra: Mksol: CPU time 15157.25,  WCT time 3881.87, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (25856 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 40.41/10.6949
Info:Filtering - Singleton removal: Total cpu/real time for purge: 262.17/290.353
Info:Quadratic Characters: Total cpu/real time for characters: 63.19/25.568
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5289.37
Info:Polynomial Selection (root optimized): Rootsieve time: 5286.87
Info:Filtering - Merging: Merged matrix has 1652900 rows and total weight 283122613 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 408.25/115.561
Info:Filtering - Merging: Total cpu/real time for replay: 65.14/54.6678
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24391251
Info:Lattice Sieving: Average J: 8192 for 58615 special-q, max bucket fill -bkmult 1.0,1s:1.064250
Info:Lattice Sieving: Total time: 88966.2s
Info:Square Root: Total cpu/real time for sqrt: 628.73/187.088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 223332/56264.8
2462895196969975846989761183532462028427617625559150949 11371888647986226158707011804389416734472060148580265949986853595820256360833

cado-nfs-3.0.0

Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

8470068447926096779039422027192453904555563871682582554301580696224051792355214859808844547614321891866140310658471313707082489236680645874492608023290572169058950022342163408369614314616850421<193>

4551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232492997198879551820728291316526610644257703081232493<232>

1099079107499984190338850439842798078126573098188075883621829617398916498854246587493272865661279379458512851698353847462596777786710168409826726213225207632450121485586395930167879870394911574369230453255801238664900159359997857<229>

1950916041509075991582941346897584171477948267583288473295456284261920506524876581109843795790416479288922645450575507866140961513414960811886672247571685290906242408908480898052191425928108289085933535053041<208>

191615127457477574844118976543960814358049038473339726265174989430382776202878949056957250280183479812606186644990361578060472867147153288981322114694109900061292558107600459416549824891203370784523<198>

5758294954533812822251386026011744261<37>

33276365481523096059201716692733831959273912965118037301880412953805417872814580702668843686973034272286014464089503542675289049545795077616213204931609054523343<161>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 12:35:52 2022 
Input number is 191615127457477574844118976543960814358049038473339726265174989430382776202878949056957250280183479812606186644990361578060472867147153288981322114694109900061292558107600459416549824891203370784523 (198 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:805047596
Step 1 took 0ms
Step 2 took 10448ms
********** Factor found in step 2: 5758294954533812822251386026011744261
Found prime factor of 37 digits: 5758294954533812822251386026011744261
Composite cofactor 33276365481523096059201716692733831959273912965118037301880412953805417872814580702668843686973034272286014464089503542675289049545795077616213204931609054523343 has 161 digits

33276365481523096059201716692733831959273912965118037301880412953805417872814580702668843686973034272286014464089503542675289049545795077616213204931609054523343<161>

925348963127691035165089626369074187181999<42>
35960882658849657917694001113584141975492741062450652765500034729783911423367604738400177723784754695541089859024050657<119>

Number: 43336_240
N = 33276365481523096059201716692733831959273912965118037301880412953805417872814580702668843686973034272286014464089503542675289049545795077616213204931609054523343 (161 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=925348963127691035165089626369074187181999 (pp42)
r2=35960882658849657917694001113584141975492741062450652765500034729783911423367604738400177723784754695541089859024050657 (pp119)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 77.76 hours.
Factorization parameters were as follows:
n: 33276365481523096059201716692733831959273912965118037301880412953805417872814580702668843686973034272286014464089503542675289049545795077616213204931609054523343 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 13
c0: 8
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 66473052
Relations: 14376064 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.90 hours.
Total relation processing time: 0.64 hours.
Pruned matrix : 11529241 x 11529466
Matrix solve time: 57.54 hours.
time per square root: 0.68 hours.
Prototype def-par.txt line would be: snfs,242,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 77.76 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

2886944586004310503899847785913673161754413984719564113347478186081428225684774032588073486158148283508259535950404929837149416710984988771413498012562106080627927263179283665933072913389904766264621672809342863635890753672597<226>

34499026157833299647168248697478616382353366521261060346899790592516611111184582313939409884856296850518950312575115143830061913321335406624958220402362220610499073507822929159171559172150510815311129799<203>

6632135954723023915471375924637843174429373261852266960950076188327680214132927655188688108303201246212519276257594757480399289411645728781094050603051105079748644830475941075123704238206079373227409604572262202746589<217>

23961178937014452530160384578091226975807771506741804298930405060574696707305278935799990837911800001534712924738334523520607108613023906834890777997499302521192310755734760442030809<182>

133110097925868108615396381688178038867<39>

180010226950317106088819342018118159583059318335670456587770588525014444925995853468588249350282151901390594444184227756084090567863584163224227<144>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 12:18:16 2022 
Input number is 23961178937014452530160384578091226975807771506741804298930405060574696707305278935799990837911800001534712924738334523520607108613023906834890777997499302521192310755734760442030809 (182 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1550958120
Step 1 took 0ms
Step 2 took 10004ms
********** Factor found in step 2: 133110097925868108615396381688178038867
Found prime factor of 39 digits: 133110097925868108615396381688178038867
Composite cofactor 180010226950317106088819342018118159583059318335670456587770588525014444925995853468588249350282151901390594444184227756084090567863584163224227 has 144 digits

180010226950317106088819342018118159583059318335670456587770588525014444925995853468588249350282151901390594444184227756084090567863584163224227<144>

328026535441184976334221494757454824754274900715865681048234247<63>
548767271855641892635888984643866380304384776797043445968396912512203140658718341<81>

Sat Dec 23 22:01:52 2023  
Sat Dec 23 22:01:52 2023  commencing relation filtering
Sat Dec 23 22:01:52 2023  estimated available RAM is 31996.9 MB
Sat Dec 23 22:01:52 2023  commencing duplicate removal, pass 1
Sat Dec 23 22:05:06 2023  found 6672202 hash collisions in 43271930 relations
Sat Dec 23 22:05:33 2023  added 122237 free relations
Sat Dec 23 22:05:33 2023  commencing duplicate removal, pass 2
Sat Dec 23 22:05:44 2023  found 6351808 duplicates and 37042359 unique relations
Sat Dec 23 22:05:44 2023  memory use: 197.2 MB
Sat Dec 23 22:05:44 2023  reading ideals above 720000
Sat Dec 23 22:05:44 2023  commencing singleton removal, initial pass
Sat Dec 23 22:08:06 2023  memory use: 1378.0 MB
Sat Dec 23 22:08:06 2023  reading all ideals from disk
Sat Dec 23 22:08:07 2023  memory use: 1252.1 MB
Sat Dec 23 22:08:09 2023  keeping 42108868 ideals with weight <= 200, target excess is 173508
Sat Dec 23 22:08:11 2023  commencing in-memory singleton removal
Sat Dec 23 22:08:12 2023  begin with 37042359 relations and 42108868 unique ideals
Sat Dec 23 22:08:35 2023  reduce to 11845117 relations and 12703059 ideals in 34 passes
Sat Dec 23 22:08:35 2023  max relations containing the same ideal: 92
Sun Dec 24 00:34:11 2023  
Sun Dec 24 00:34:11 2023  commencing relation filtering
Sun Dec 24 00:34:11 2023  estimated available RAM is 31996.9 MB
Sun Dec 24 00:34:11 2023  commencing duplicate removal, pass 1
Sun Dec 24 00:37:36 2023  found 7195797 hash collisions in 45581108 relations
Sun Dec 24 00:38:03 2023  added 1 free relations
Sun Dec 24 00:38:03 2023  commencing duplicate removal, pass 2
Sun Dec 24 00:38:15 2023  found 6859146 duplicates and 38721963 unique relations
Sun Dec 24 00:38:15 2023  memory use: 213.2 MB
Sun Dec 24 00:38:15 2023  reading ideals above 720000
Sun Dec 24 00:38:15 2023  commencing singleton removal, initial pass
Sun Dec 24 00:40:44 2023  memory use: 1378.0 MB
Sun Dec 24 00:40:45 2023  reading all ideals from disk
Sun Dec 24 00:40:45 2023  memory use: 1309.1 MB
Sun Dec 24 00:40:47 2023  keeping 42771217 ideals with weight <= 200, target excess is 181636
Sun Dec 24 00:40:49 2023  commencing in-memory singleton removal
Sun Dec 24 00:40:51 2023  begin with 38721963 relations and 42771217 unique ideals
Sun Dec 24 00:41:15 2023  reduce to 14841914 relations and 15118672 ideals in 29 passes
Sun Dec 24 00:41:15 2023  max relations containing the same ideal: 107
Sun Dec 24 04:05:51 2023  
Sun Dec 24 04:05:51 2023  commencing relation filtering
Sun Dec 24 04:05:51 2023  estimated available RAM is 31996.9 MB
Sun Dec 24 04:05:51 2023  commencing duplicate removal, pass 1
Sun Dec 24 04:09:29 2023  found 7751054 hash collisions in 47870915 relations
Sun Dec 24 04:09:55 2023  commencing duplicate removal, pass 2
Sun Dec 24 04:10:07 2023  found 7407181 duplicates and 40463734 unique relations
Sun Dec 24 04:10:07 2023  memory use: 213.2 MB
Sun Dec 24 04:10:07 2023  reading ideals above 720000
Sun Dec 24 04:10:07 2023  commencing singleton removal, initial pass
Sun Dec 24 04:12:44 2023  memory use: 1378.0 MB
Sun Dec 24 04:12:44 2023  reading all ideals from disk
Sun Dec 24 04:12:44 2023  memory use: 1368.2 MB
Sun Dec 24 04:12:46 2023  keeping 43417464 ideals with weight <= 200, target excess is 190351
Sun Dec 24 04:12:49 2023  commencing in-memory singleton removal
Sun Dec 24 04:12:51 2023  begin with 40463734 relations and 43417464 unique ideals
Sun Dec 24 04:13:11 2023  reduce to 17699819 relations and 17271175 ideals in 22 passes
Sun Dec 24 04:13:11 2023  max relations containing the same ideal: 120
Sun Dec 24 04:13:17 2023  removing 1410512 relations and 1306594 ideals in 103918 cliques
Sun Dec 24 04:13:17 2023  commencing in-memory singleton removal
Sun Dec 24 04:13:18 2023  begin with 16289307 relations and 17271175 unique ideals
Sun Dec 24 04:13:28 2023  reduce to 16169260 relations and 15843323 ideals in 14 passes
Sun Dec 24 04:13:28 2023  max relations containing the same ideal: 113
Sun Dec 24 04:13:33 2023  removing 1029156 relations and 925238 ideals in 103918 cliques
Sun Dec 24 04:13:33 2023  commencing in-memory singleton removal
Sun Dec 24 04:13:34 2023  begin with 15140104 relations and 15843323 unique ideals
Sun Dec 24 04:13:40 2023  reduce to 15068459 relations and 14845847 ideals in 9 passes
Sun Dec 24 04:13:40 2023  max relations containing the same ideal: 108
Sun Dec 24 04:13:46 2023  relations with 0 large ideals: 693
Sun Dec 24 04:13:46 2023  relations with 1 large ideals: 1951
Sun Dec 24 04:13:46 2023  relations with 2 large ideals: 35864
Sun Dec 24 04:13:46 2023  relations with 3 large ideals: 279361
Sun Dec 24 04:13:46 2023  relations with 4 large ideals: 1178802
Sun Dec 24 04:13:46 2023  relations with 5 large ideals: 2934478
Sun Dec 24 04:13:46 2023  relations with 6 large ideals: 4399360
Sun Dec 24 04:13:46 2023  relations with 7+ large ideals: 6237950
Sun Dec 24 04:13:46 2023  commencing 2-way merge
Sun Dec 24 04:13:53 2023  reduce to 8750773 relation sets and 8528172 unique ideals
Sun Dec 24 04:13:53 2023  ignored 11 oversize relation sets
Sun Dec 24 04:13:53 2023  commencing full merge
Sun Dec 24 04:17:07 2023  memory use: 410.7 MB
Sun Dec 24 04:17:07 2023  found 343286 cycles, need 1858100
Sun Dec 24 04:17:07 2023  too few cycles, matrix probably cannot build
Sun Dec 24 07:44:22 2023  
Sun Dec 24 07:44:22 2023  commencing relation filtering
Sun Dec 24 07:44:22 2023  estimated available RAM is 31996.9 MB
Sun Dec 24 07:44:22 2023  commencing duplicate removal, pass 1
Sun Dec 24 07:48:05 2023  found 8348830 hash collisions in 50277325 relations
Sun Dec 24 07:48:31 2023  added 1 free relations
Sun Dec 24 07:48:31 2023  commencing duplicate removal, pass 2
Sun Dec 24 07:48:44 2023  found 7999121 duplicates and 42278205 unique relations
Sun Dec 24 07:48:44 2023  memory use: 213.2 MB
Sun Dec 24 07:48:44 2023  reading ideals above 720000
Sun Dec 24 07:48:44 2023  commencing singleton removal, initial pass
Sun Dec 24 07:51:27 2023  memory use: 1378.0 MB
Sun Dec 24 07:51:27 2023  reading all ideals from disk
Sun Dec 24 07:51:28 2023  memory use: 1429.8 MB
Sun Dec 24 07:51:30 2023  keeping 44049209 ideals with weight <= 200, target excess is 199535
Sun Dec 24 07:51:32 2023  commencing in-memory singleton removal
Sun Dec 24 07:51:34 2023  begin with 42278205 relations and 44049209 unique ideals
Sun Dec 24 07:51:58 2023  reduce to 20522838 relations and 19266551 ideals in 22 passes
Sun Dec 24 07:51:58 2023  max relations containing the same ideal: 128
Sun Dec 24 07:52:04 2023  removing 3119430 relations and 2719431 ideals in 400000 cliques
Sun Dec 24 07:52:05 2023  commencing in-memory singleton removal
Sun Dec 24 07:52:06 2023  begin with 17403408 relations and 19266551 unique ideals
Sun Dec 24 07:52:14 2023  reduce to 16935191 relations and 16065647 ideals in 10 passes
Sun Dec 24 07:52:14 2023  max relations containing the same ideal: 113
Sun Dec 24 07:52:19 2023  removing 2393396 relations and 1993396 ideals in 400000 cliques
Sun Dec 24 07:52:19 2023  commencing in-memory singleton removal
Sun Dec 24 07:52:20 2023  begin with 14541795 relations and 16065647 unique ideals
Sun Dec 24 07:52:26 2023  reduce to 14206804 relations and 13728410 ideals in 10 passes
Sun Dec 24 07:52:26 2023  max relations containing the same ideal: 100
Sun Dec 24 07:52:31 2023  removing 1529238 relations and 1282305 ideals in 246933 cliques
Sun Dec 24 07:52:31 2023  commencing in-memory singleton removal
Sun Dec 24 07:52:32 2023  begin with 12677566 relations and 13728410 unique ideals
Sun Dec 24 07:52:36 2023  reduce to 12523446 relations and 12289251 ideals in 8 passes
Sun Dec 24 07:52:36 2023  max relations containing the same ideal: 93
Sun Dec 24 07:52:41 2023  relations with 0 large ideals: 717
Sun Dec 24 07:52:41 2023  relations with 1 large ideals: 2319
Sun Dec 24 07:52:41 2023  relations with 2 large ideals: 40544
Sun Dec 24 07:52:41 2023  relations with 3 large ideals: 295603
Sun Dec 24 07:52:41 2023  relations with 4 large ideals: 1157711
Sun Dec 24 07:52:41 2023  relations with 5 large ideals: 2655347
Sun Dec 24 07:52:41 2023  relations with 6 large ideals: 3665238
Sun Dec 24 07:52:41 2023  relations with 7+ large ideals: 4705967
Sun Dec 24 07:52:41 2023  commencing 2-way merge
Sun Dec 24 07:52:47 2023  reduce to 7427831 relation sets and 7193638 unique ideals
Sun Dec 24 07:52:47 2023  ignored 2 oversize relation sets
Sun Dec 24 07:52:47 2023  commencing full merge
Sun Dec 24 07:54:15 2023  memory use: 836.2 MB
Sun Dec 24 07:54:15 2023  found 3396466 cycles, need 3385838
Sun Dec 24 07:54:16 2023  weight of 3385838 cycles is about 304733343 (90.00/cycle)
Sun Dec 24 07:54:16 2023  distribution of cycle lengths:
Sun Dec 24 07:54:16 2023  1 relations: 401567
Sun Dec 24 07:54:16 2023  2 relations: 330058
Sun Dec 24 07:54:16 2023  3 relations: 314128
Sun Dec 24 07:54:16 2023  4 relations: 280184
Sun Dec 24 07:54:16 2023  5 relations: 260777
Sun Dec 24 07:54:16 2023  6 relations: 236333
Sun Dec 24 07:54:16 2023  7 relations: 211354
Sun Dec 24 07:54:16 2023  8 relations: 186879
Sun Dec 24 07:54:16 2023  9 relations: 170542
Sun Dec 24 07:54:16 2023  10+ relations: 994016
Sun Dec 24 07:54:16 2023  heaviest cycle: 28 relations
Sun Dec 24 07:54:16 2023  commencing cycle optimization
Sun Dec 24 07:54:20 2023  start with 24649247 relations
Sun Dec 24 07:54:49 2023  pruned 704466 relations
Sun Dec 24 07:54:49 2023  memory use: 755.2 MB
Sun Dec 24 07:54:49 2023  distribution of cycle lengths:
Sun Dec 24 07:54:49 2023  1 relations: 401567
Sun Dec 24 07:54:49 2023  2 relations: 338179
Sun Dec 24 07:54:49 2023  3 relations: 325166
Sun Dec 24 07:54:49 2023  4 relations: 288174
Sun Dec 24 07:54:49 2023  5 relations: 267765
Sun Dec 24 07:54:49 2023  6 relations: 240837
Sun Dec 24 07:54:49 2023  7 relations: 214809
Sun Dec 24 07:54:49 2023  8 relations: 189458
Sun Dec 24 07:54:49 2023  9 relations: 172567
Sun Dec 24 07:54:49 2023  10+ relations: 947316
Sun Dec 24 07:54:49 2023  heaviest cycle: 28 relations
Sun Dec 24 07:54:52 2023  RelProcTime: 630
Sun Dec 24 07:54:52 2023  
Sun Dec 24 07:54:52 2023  commencing linear algebra
Sun Dec 24 07:54:53 2023  read 3385838 cycles
Sun Dec 24 07:54:57 2023  cycles contain 12255551 unique relations
Sun Dec 24 07:55:26 2023  read 12255551 relations
Sun Dec 24 07:55:41 2023  using 20 quadratic characters above 4294917295
Sun Dec 24 07:56:16 2023  building initial matrix
Sun Dec 24 07:57:34 2023  memory use: 1612.1 MB
Sun Dec 24 07:57:36 2023  read 3385838 cycles
Sun Dec 24 07:57:36 2023  matrix is 3385659 x 3385838 (1259.9 MB) with weight 392700993 (115.98/col)
Sun Dec 24 07:57:36 2023  sparse part has weight 289648274 (85.55/col)
Sun Dec 24 07:58:00 2023  filtering completed in 2 passes
Sun Dec 24 07:58:00 2023  matrix is 3384465 x 3384644 (1259.8 MB) with weight 392644270 (116.01/col)
Sun Dec 24 07:58:00 2023  sparse part has weight 289632770 (85.57/col)
Sun Dec 24 07:58:05 2023  matrix starts at (0, 0)
Sun Dec 24 07:58:06 2023  matrix is 3384465 x 3384644 (1259.8 MB) with weight 392644270 (116.01/col)
Sun Dec 24 07:58:06 2023  sparse part has weight 289632770 (85.57/col)
Sun Dec 24 07:58:06 2023  saving the first 48 matrix rows for later
Sun Dec 24 07:58:06 2023  matrix includes 64 packed rows
Sun Dec 24 07:58:06 2023  matrix is 3384417 x 3384644 (1220.4 MB) with weight 323848108 (95.68/col)
Sun Dec 24 07:58:06 2023  sparse part has weight 286081479 (84.52/col)
Sun Dec 24 07:58:06 2023  using block size 8192 and superblock size 3145728 for processor cache size 32768 kB
Sun Dec 24 07:58:15 2023  commencing Lanczos iteration (16 threads)
Sun Dec 24 07:58:15 2023  memory use: 1148.3 MB
Sun Dec 24 07:58:22 2023  linear algebra at 0.0%, ETA 3h43m
Sun Dec 24 07:58:24 2023  checkpointing every 910000 dimensions
Sun Dec 24 11:41:36 2023  lanczos halted after 53525 iterations (dim = 3384416)
Sun Dec 24 11:41:37 2023  recovered 29 nontrivial dependencies
Sun Dec 24 11:41:37 2023  BLanczosTime: 13605
Sun Dec 24 11:41:37 2023  
Sun Dec 24 11:41:37 2023  commencing square root phase
Sun Dec 24 11:41:37 2023  reading relations for dependency 1
Sun Dec 24 11:41:38 2023  read 1692695 cycles
Sun Dec 24 11:41:40 2023  cycles contain 6131828 unique relations
Sun Dec 24 11:41:56 2023  read 6131828 relations
Sun Dec 24 11:42:14 2023  multiplying 6131828 relations
Sun Dec 24 11:45:20 2023  multiply complete, coefficients have about 311.72 million bits
Sun Dec 24 11:45:22 2023  initial square root is modulo 392279
Sun Dec 24 11:48:57 2023  GCD is N, no factor found
Sun Dec 24 11:48:57 2023  reading relations for dependency 2
Sun Dec 24 11:48:57 2023  read 1693299 cycles
Sun Dec 24 11:48:59 2023  cycles contain 6132206 unique relations
Sun Dec 24 11:49:16 2023  read 6132206 relations
Sun Dec 24 11:49:33 2023  multiplying 6132206 relations
Sun Dec 24 11:52:39 2023  multiply complete, coefficients have about 311.75 million bits
Sun Dec 24 11:52:40 2023  initial square root is modulo 392503
Sun Dec 24 11:56:14 2023  GCD is N, no factor found
Sun Dec 24 11:56:14 2023  reading relations for dependency 3
Sun Dec 24 11:56:14 2023  read 1693796 cycles
Sun Dec 24 11:56:16 2023  cycles contain 6132832 unique relations
Sun Dec 24 11:56:32 2023  read 6132832 relations
Sun Dec 24 11:56:49 2023  multiplying 6132832 relations
Sun Dec 24 11:59:49 2023  multiply complete, coefficients have about 311.78 million bits
Sun Dec 24 11:59:51 2023  initial square root is modulo 393059
Sun Dec 24 12:03:26 2023  GCD is 1, no factor found
Sun Dec 24 12:03:26 2023  reading relations for dependency 4
Sun Dec 24 12:03:26 2023  read 1690785 cycles
Sun Dec 24 12:03:28 2023  cycles contain 6124338 unique relations
Sun Dec 24 12:03:44 2023  read 6124338 relations
Sun Dec 24 12:04:01 2023  multiplying 6124338 relations
Sun Dec 24 12:07:02 2023  multiply complete, coefficients have about 311.36 million bits
Sun Dec 24 12:07:04 2023  initial square root is modulo 386249
Sun Dec 24 12:10:40 2023  GCD is N, no factor found
Sun Dec 24 12:10:40 2023  reading relations for dependency 5
Sun Dec 24 12:10:40 2023  read 1691620 cycles
Sun Dec 24 12:10:42 2023  cycles contain 6123324 unique relations
Sun Dec 24 12:10:58 2023  read 6123324 relations
Sun Dec 24 12:11:15 2023  multiplying 6123324 relations
Sun Dec 24 12:14:15 2023  multiply complete, coefficients have about 311.29 million bits
Sun Dec 24 12:14:17 2023  initial square root is modulo 385223
Sun Dec 24 12:17:50 2023  GCD is 1, no factor found
Sun Dec 24 12:17:50 2023  reading relations for dependency 6
Sun Dec 24 12:17:50 2023  read 1693138 cycles
Sun Dec 24 12:17:52 2023  cycles contain 6127124 unique relations
Sun Dec 24 12:18:08 2023  read 6127124 relations
Sun Dec 24 12:18:25 2023  multiplying 6127124 relations
Sun Dec 24 12:21:26 2023  multiply complete, coefficients have about 311.49 million bits
Sun Dec 24 12:21:27 2023  initial square root is modulo 388301
Sun Dec 24 12:25:03 2023  sqrtTime: 2606

yafu log:
12/21/23 18:40:24, ****************************
12/21/23 18:40:24, Starting factorization of 180010226950317106088819342018118159583059318335670456587770588525014444925995853468588249350282151901390594444184227756084090567863584163224227
12/21/23 18:40:24, using pretesting plan: none
12/21/23 18:40:24, no tune info: using qs/gnfs crossover of 100 digits
12/21/23 18:40:24, no tune info: using qs/snfs crossover of 75 digits
12/21/23 18:40:24, ****************************
12/21/23 18:40:24, rho: x^2 + 3, starting 1000 iterations on C144
12/21/23 18:40:24, rho: x^2 + 2, starting 1000 iterations on C144
12/21/23 18:40:24, rho: x^2 + 1, starting 1000 iterations on C144
12/21/23 18:40:24, final ECM pretested depth: 0.000000
12/21/23 18:40:24, scheduler: switching to sieve method
12/21/23 18:40:24, nfs: commencing nfs on c144: 180010226950317106088819342018118159583059318335670456587770588525014444925995853468588249350282151901390594444184227756084090567863584163224227
12/23/23 22:01:52, nfs: commencing msieve filtering
12/23/23 22:08:36, nfs: raising min_rels by 5.00 percent to 45436977
12/24/23 00:34:11, nfs: commencing msieve filtering
12/24/23 00:41:16, nfs: raising min_rels by 5.00 percent to 47733349
12/24/23 04:05:51, nfs: commencing msieve filtering
12/24/23 04:17:07, nfs: raising min_rels by 5.00 percent to 50137735
12/24/23 07:44:22, nfs: commencing msieve filtering
12/24/23 07:54:52, nfs: commencing msieve linear algebra
12/24/23 11:41:37, nfs: commencing msieve sqrt
12/24/23 12:25:03, prp63 = 328026535441184976334221494757454824754274900715865681048234247
12/24/23 12:25:03, prp81 = 548767271855641892635888984643866380304384776797043445968396912512203140658718341
12/24/23 12:25:04, NFS elapsed time = 236680.1795 seconds.
12/24/23 12:25:04, 
12/24/23 12:25:04, 
12/24/23 12:25:04, Total factoring time = 236680.6428 seconds

CADO-NFS revision 47e5d02416c63e33ecb60f3ac62387d50d6b0b8b, yafu r591(fork by NyanCatTW1), msieve

Arch Linux (kernel 6.6.7-lqx1-1-lqx), AMD Ryzen 7 3700X, 32 GB ram

27796134663601082608061061549997971134047435268716244206915435989445928688084000710835172760717258890504149316999119251755530155007605151635100876840558297560550004255549307828007248437869701<191>

1547430508129437264169809789282977237121242270945330582040224253278327111527866773187711416873225485505979031587492659839217876478705919457946722477134022909181578973621564831803744333137065702632504227<202>

57171162973036222159750914059912312963<38>
27066626383991099933943450765850709299765287287212572417762639123712434171225571226419418123412698052010078561702403122613326330257543608404495451130935644691564129<164>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 12:24:07 2022 
Input number is 1547430508129437264169809789282977237121242270945330582040224253278327111527866773187711416873225485505979031587492659839217876478705919457946722477134022909181578973621564831803744333137065702632504227 (202 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3516152419
Step 1 took 0ms
Step 2 took 11007ms
********** Factor found in step 2: 57171162973036222159750914059912312963
Found prime factor of 38 digits: 57171162973036222159750914059912312963
Prime cofactor 27066626383991099933943450765850709299765287287212572417762639123712434171225571226419418123412698052010078561702403122613326330257543608404495451130935644691564129 has 164 digits

510611717739539806891106606292245525000972526862440432327129827537710697893038937704610100493510626453078145724032986635159136314549232175467486221302545576390831041851715926607<177>

78715041657468093782177337587318589848609542425991354895559735171899349778199560468131146133325869772029484364351290188846142538243032197822582678153052625573987551242824670808317552095219360210621505109908838905977<215>

2179911257012675105989059699041219043280703<43>

36109287203433348176743886049236578234019951537453654801458164200832339976380209160863425890899377677308227443111244800012008206078864532304970604625187451240649973954431559<173>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 12:27:03 2022 
Input number is 78715041657468093782177337587318589848609542425991354895559735171899349778199560468131146133325869772029484364351290188846142538243032197822582678153052625573987551242824670808317552095219360210621505109908838905977 (215 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:386783704
Step 1 took 0ms
Step 2 took 11507ms
********** Factor found in step 2: 2179911257012675105989059699041219043280703
Found prime factor of 43 digits: 2179911257012675105989059699041219043280703
Composite cofactor 36109287203433348176743886049236578234019951537453654801458164200832339976380209160863425890899377677308227443111244800012008206078864532304970604625187451240649973954431559 has 173 digits
---

6432617136645885368652651157864837297923399046212662553145871963175729902475853575915231280375587722312005340677482214613489178375910577421946462620759949754674996028475780610620422639866717320947414805703<205>

1602815054372844369579011155018972990703641430498718229860318459383402020168192456342655186017495748057284874332905051276035456086141489227721389098458285707305353712014123098662899<181>

9180790960451977401129943502824858757062146892655367231638418079096045197740112994350282485875706214689265536723163841807909604519774011299435028248587570621468926553672316384180790960451977401129943502824858757062146892655367231638418079096045197740113<253>

134380637120538992206737358603556604767173399088345361023306058086226979327887225267668658543217396994588689217800203845901811575465907132580803988621138680200301442148644513905111542398112825607757863523796498044983124777<222>

233861575997332270541789386140897486579049621698394536601004553070946903843975101173660465538890692174149962358483932291646994902121467568411794773544222861036980703319321535274416850199445263861953764103704697706005983168588844753876421430887447<246>

4368446125423066095539572377216650352858632959274465696172079238167650657044156653620631757981296331689639555120750916717449662474038141<136>

5670326849847004142232387687289064117149159<43>
770404641760806930297839376104811421293692514465642799668142636654238316556673168636103464699<93>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1910678512
Step 1 took 21781ms
Step 2 took 10609ms
********** Factor found in step 2: 5670326849847004142232387687289064117149159
Found prime factor of 43 digits: 5670326849847004142232387687289064117149159
Prime cofactor 770404641760806930297839376104811421293692514465642799668142636654238316556673168636103464699 has 93 digits
 

GMP-ECM

3361652924797738541030474853902943728080510344106939742556066575025326218690072957644994664757439393270727966216210754760560829188876602062834177085339337351666811369837654986118769701221400631062994659756357553008053163157699<226>

12203546416493014082386029037094352505569789073179497576492310351622204145616355989539587161770106115486151469182766689567465430329683816701604874991336006823443776802342397890594201580428820627<194>

964010354627531272927475968667067399649387543<45>
12659144539176811575556478195473450036198263187036760130937837462568792681807459395990317724133755510560726010094673609616340474980773124826442025189<149>

Resuming ECM residue saved by @5e9fa7fd2646 with GMP-ECM 7.0.5-dev on Wed Sep  7 12:53:26 2022 
Input number is 12203546416493014082386029037094352505569789073179497576492310351622204145616355989539587161770106115486151469182766689567465430329683816701604874991336006823443776802342397890594201580428820627 (194 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4226977822
Step 1 took 0ms
Step 2 took 11306ms
********** Factor found in step 2: 964010354627531272927475968667067399649387543
Found prime factor of 45 digits: 964010354627531272927475968667067399649387543
Prime cofactor 12659144539176811575556478195473450036198263187036760130937837462568792681807459395990317724133755510560726010094673609616340474980773124826442025189 has 149 digits

5426559284241839540148357121699524900560388254454537288142951266826090629884946924910779016814319170514514626831380272904170970345606707694794276632968568366799341866890007149700570807248280281620060036112499753717694022870359331728407553636946820720840759371<259>

192583547480511929398239593801956190246197940881984178538479907800393593526435315095228224455236404073288025106301933243870223018755274334792578957456995740368465448044999<171>

6699501373896676294309296903709540439143<40>

28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993<131>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2174668630
Step 1 took 3922ms
********** Factor found in step 2: 6699501373896676294309296903709540439143
Found prime factor of 40 digits: 6699501373896676294309296903709540439143
Composite cofactor 28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993 has 131 digits

GMP-ECM

28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993<131>

83103893554682454249575409406773530068233780896579495033<56>
345903797679261011389078806461744478161287784103508205402225935107358998121<75>

28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993=83103893554682454249575409406773530068233780896579495033*345903797679261011389078806461744478161287784103508205402225935107358998121

cado polynomial
n: 28745952382497722840530871125740029455232115611966531923319038049239733751593209789322537197175362501652118941540884557574975832993
skew: 96785.112
c0: -270310347614869372254214146825
c1: -73140460034472296171518578
c2: -2596533281923239599917
c3: 8991832278067060
c4: -24548110428
c5: 452880
Y0: -11375169080126218340896612
Y1: 36032688911770573
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 4.235e-07
# f(x) = 452880*x^5-24548110428*x^4+8991832278067060*x^3-2596533281923239599917*x^2-73140460034472296171518578*x-270310347614869372254214146825
# g(x) = 36032688911770573*x-11375169080126218340896612

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 83103893554682454249575409406773530068233780896579495033 345903797679261011389078806461744478161287784103508205402225935107358998121
Info:Square Root: Total cpu/real time for sqrt: 2677.09/1648.16
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 387/361.697
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 311.79999999999995s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 253.54/282.296
Info:Linear Algebra: Total cpu/real time for bwc: 50421.8/12949.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 32273.97, WCT time 8246.51, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 343.6, WCT time 87.27
Info:Linear Algebra: Mksol: CPU time 17476.71,  WCT time 4484.09, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24351844
Info:Lattice Sieving: Average J: 7738 for 70937 special-q, max bucket fill -bkmult 1.0,1s:1.077570
Info:Lattice Sieving: Total time: 99567.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 39.62/38.7978
Info:Generate Free Relations: Total cpu/real time for freerel: 256.31/125.416
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5682.15
Info:Polynomial Selection (root optimized): Rootsieve time: 5679.57
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.66/122.205
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 121.79999999999998s
Info:Filtering - Merging: Merged matrix has 1755060 rows and total weight 299645065 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 439.64/124.395
Info:Filtering - Merging: Total cpu/real time for replay: 70.2/59.1451
Info:Quadratic Characters: Total cpu/real time for characters: 68.47/29.1665
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38610/38.200/46.596/50.020/0.831
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30624/37.960/41.850/47.420/1.024
Info:Polynomial Selection (size optimized): Total time: 4932.49
Info:Square Root: Total cpu/real time for sqrt: 2677.09/1648.16
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 248988/71223.5
Info:root: Cleaning up computation data in /tmp/cado.nfbm06ky
83103893554682454249575409406773530068233780896579495033 345903797679261011389078806461744478161287784103508205402225935107358998121

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)

361733357205652412602423313203012716415125001375300915605172507327642674970554106349004245095336869717666156148218101512593683700617389487644186386028031760613965286580785631160667647400402831432337642578841508724877<216>

58557789922519431728507708181617469445633940780005264531287519744494275999151994339525991366984229277588152812956221815708762618660149097800518068686202648726750813510293499630543015286559510813172231539325427126853147576377168474286129223<239>

174635167760005720430377925058121271070391915457967916337604244031966844341941813293164767287515733988109086806872160954737515338470788386104869223224806932855197110942968891914233251806808789615443353137023397713<213>

1109979270896890037977471398827668018674878778021002544107859919419444394025678425848999895899544709092463681727877086379083189205757121872034896392353484610593639657843197810704726139942829454313450967016579783301568556065628140103888645738300928517<250>

64553102133385935375961079302375464407267227912176361659440703158019213492266186970687901321827599717587368922087484883345458952243374527897563713071689364271291099<164>

36691434457969583866828959021041466875802629<44>

1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431<121>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1664124032
Step 1 took 26079ms
Step 2 took 11921ms
********** Factor found in step 2: 36691434457969583866828959021041466875802629
Found prime factor of 44 digits: 36691434457969583866828959021041466875802629
Composite cofactor 1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431 has 121 digits

GMP-ECM

1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431<121>

969449384156355413045694767953774816198172313343309127<54>
1814793801958671813808764234168023536596918679753166634457813178153<67>

1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431=969449384156355413045694767953774816198172313343309127*1814793801958671813808764234168023536596918679753166634457813178153

cado polynomial
n: 1759350733679605217853084102659400881966527700876463341096831658861587714188117523995702852967235346045701038409801902431
skew: 42683.584
c0: 4678830302366315938787245840
c1: -230188134974425067925266
c2: 23208742583922442457
c3: 111205809704195
c4: -930772650
c5: 75600
Y0: -169498953133194814066541
Y1: 27574757754377171
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.372e-06
# f(x) = 75600*x^5-930772650*x^4+111205809704195*x^3+23208742583922442457*x^2-230188134974425067925266*x+4678830302366315938787245840
# g(x) = 27574757754377171*x-169498953133194814066541

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: 969449384156355413045694767953774816198172313343309127 1814793801958671813808764234168023536596918679753166634457813178153
Info:Square Root: Total cpu/real time for sqrt: 433.46/126.897
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13748645
Info:Lattice Sieving: Average J: 1885.74 for 292168 special-q, max bucket fill -bkmult 1.0,1s:1.261190
Info:Lattice Sieving: Total time: 35095.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.16/1.37179
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1998.58
Info:Polynomial Selection (root optimized): Rootsieve time: 1996.15
Info:Generate Free Relations: Total cpu/real time for freerel: 126.07/32.2775
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.16/62.0779
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.800000000000004s
Info:Filtering - Merging: Merged matrix has 766332 rows and total weight 77311865 (100.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.45/19.7313
Info:Filtering - Merging: Total cpu/real time for replay: 19.31/15.3021
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 172.13/161.208
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 137.0s
Info:Linear Algebra: Total cpu/real time for bwc: 5662.91/1470.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3456.12, WCT time 894.98, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (24064 iterations)
Info:Linear Algebra: Lingen CPU time 130.77, WCT time 33.25
Info:Linear Algebra: Mksol: CPU time 1996.92,  WCT time 514.55, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12032 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 24.38/9.40784
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): 20049/35.000/42.994/50.790/1.039
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16083/34.760/38.058/43.460/0.843
Info:Polynomial Selection (size optimized): Total time: 2245.7
Info:Square Root: Total cpu/real time for sqrt: 433.46/126.897
Info:Filtering - Singleton removal: Total cpu/real time for purge: 85.66/100.088
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 75737.3/20722.4
Info:root: Cleaning up computation data in /tmp/cado.ek43z0pt
969449384156355413045694767953774816198172313343309127 1814793801958671813808764234168023536596918679753166634457813178153

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)

6710800727309569902845549563224098204083575690858123439415293501901381231477740039255597594387138387673670075108087637688864761318391467667008141014297708125837265867154203102352081027538380634498547710699<205>

102700448490398234316065680558760268405437503808678172683252357354671760538359877400311073658885862091490389412782363315969404790011819853189190666434870830631556496413276902008708423164098043277288963626377167296394683662461536670491932092633972897988187<255>

5508926189791957292365445988749550470784543933283032070885950076226381746039649082645425749810903119806719818244511088938284758960052700984277235487936126444311049584850601096541170744111086589492273384737598682689780556760950857094330223<238>

27616590432530126023219849794715297<35>

199478867720864071128655171724714070310617413073213346323889738398581318552304287442898020143245185364143138748018535642483433348617451116550854260775328261241051803643898232427985651175330752523878534159<204>

Resuming ECM residue saved by @70a4ce2a5261 with GMP-ECM 7.0.5-dev on Mon Oct 31 11:20:28 2022 
Input number is 5508926189791957292365445988749550470784543933283032070885950076226381746039649082645425749810903119806719818244511088938284758960052700984277235487936126444311049584850601096541170744111086589492273384737598682689780556760950857094330223 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:100069223
Step 1 took 0ms
Step 2 took 8285ms
********** Factor found in step 2: 27616590432530126023219849794715297
Found prime factor of 35 digits: 27616590432530126023219849794715297
Composite cofactor 199478867720864071128655171724714070310617413073213346323889738398581318552304287442898020143245185364143138748018535642483433348617451116550854260775328261241051803643898232427985651175330752523878534159 has 204 digits

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495661844307794316395660205516705727<36>

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GPU: factor 495661844307794316395660205516705727 found in Step 1 with curve 1528 (-sigma 3:660792976)
Computing 1792 Step 1 took 254ms of CPU time / 267484ms of GPU time
Throughput: 6.699 curves per second (on average 149.27ms per Step 1)
********** Factor found in step 1: 495661844307794316395660205516705727
Found prime factor of 36 digits: 495661844307794316395660205516705727
Composite cofactor 102960699818404502576344447120968585725392294839674635381386098160769475756449357467023212645982924285067871440611002117269057581910874880667813359532172581666445414688652631606585675726217987492300628971059 has 207 digits
Peak memory usage: 9428MB

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152645257819352642766684158476876537783<39>

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Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Nov 24 22:06:11 2023
Input number is 2238786360258292566992690715878999156181770095974934714009983588562776502417522743252766490369202416965566055768336207877822355771800728304168650598682296515689007869369982777642231321444930100927163590039470407390955140378007 (226 digits)
Using mpz_mod
Using lmax = 67108864 with NTT which takes about 21504MB of memory
Using B1=10000000000-10000000000, B2=13494038602573560, polynomial x^1
P = 198843645, l = 67108864, s_1 = 33177600, k = s_2 = 2, m_1 = 20
Probability of finding a factor of n digits (assuming one exists):
20     25      30      35      40      45      50      55      60      65
0.82    0.56    0.31    0.14    0.057   0.02    0.0066  0.002   0.00053 0.00014
Step 1 took 0ms
Computing F from factored S_1 took 227528ms
Computing h took 27870ms
Computing DCT-I of h took 75416ms
Multi-point evaluation 1 of 2:
Computing g_i took 95275ms
Computing g*h took 148853ms
Computing gcd of coefficients and N took 27840ms
Step 2 took 604256ms
********** Factor found in step 2: 152645257819352642766684158476876537783
Found prime factor of 39 digits: 152645257819352642766684158476876537783
Composite cofactor 14666596212951301850926163737510976664364443932323528482837375473350120383723708654699498252654179358202826550442086493965906907659196562778503349046967388011771462984696140003051418788129 has 188 digits

GMP-ECM 7.0.6, ecm-db 0.1

1080 Ti for PM1 stage1

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