111111111111111111111111111111111111111111111111109111111111111111111111111111111111111111111111111<99>

194662932018247164119027405314559941039<39>
570787206167714885148897715974339288136395978912864956671849<60>

N=111111111111111111111111111111111111111111111111109111111111111111111111111111111111111111111111111
  ( 99 digits)
SNFS difficulty: 99 digits.
Divisors found:
p39 factor: 194662932018247164119027405314559941039
p60 factor: 570787206167714885148897715974339288136395978912864956671849
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.12 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 111111111111111111111111111111111111111111111111109111111111111111111111111111111111111111111111111
m: 1000000000000000000000000
deg: 4
c4: 1000
c2: -18
c0: -1
skew: 0.18
# Murphy_E = 3.841e-07
type: snfs
lss: 1
rlim: 310000
alim: 310000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 310000/310000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [155000, 235001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 21561 x 21787
Total sieving time: 0.12 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,99.0000,4,0,0,0,0,0,0,0,0,310000,310000,24,24,43,43,2.1,2.1,10000
total time: 0.12 hours.
 --------- CPU info (if available) ----------

2089061473069550134384047395866877256213827173101775250866405205991275185523745629803106757448418351779013042593849286311781<124>

47905578212145969282326953022067193433803697921<47>
43607896011990728231216714000846702511345255853115877196568494850090995266661<77>

Thu May 19 08:01:23 2022  Msieve v. 1.53 (SVN unknown)
Thu May 19 08:01:23 2022  random seeds: 919949cc 92a4c168
Thu May 19 08:01:23 2022  factoring 2089061473069550134384047395866877256213827173101775250866405205991275185523745629803106757448418351779013042593849286311781 (124 digits)
Thu May 19 08:01:24 2022  searching for 15-digit factors
Thu May 19 08:01:25 2022  commencing number field sieve (124-digit input)
Thu May 19 08:01:25 2022  R0: -10000000000000000000000000000000000
Thu May 19 08:01:25 2022  R1: 1
Thu May 19 08:01:25 2022  A0: -5
Thu May 19 08:01:25 2022  A1: 0
Thu May 19 08:01:25 2022  A2: -9
Thu May 19 08:01:25 2022  A3: 0
Thu May 19 08:01:25 2022  A4: 50
Thu May 19 08:01:25 2022  skew 0.56, size 3.925e-14, alpha -0.168, combined = 7.086e-09 rroots = 2
Thu May 19 08:01:25 2022  
Thu May 19 08:01:25 2022  commencing square root phase
Thu May 19 08:01:25 2022  reading relations for dependency 1
Thu May 19 08:01:25 2022  read 111441 cycles
Thu May 19 08:01:25 2022  cycles contain 381116 unique relations
Thu May 19 08:01:34 2022  read 381116 relations
Thu May 19 08:01:36 2022  multiplying 381116 relations
Thu May 19 08:01:47 2022  multiply complete, coefficients have about 9.64 million bits
Thu May 19 08:01:47 2022  initial square root is modulo 347057
Thu May 19 08:02:03 2022  GCD is N, no factor found
Thu May 19 08:02:03 2022  reading relations for dependency 2
Thu May 19 08:02:03 2022  read 111316 cycles
Thu May 19 08:02:04 2022  cycles contain 380290 unique relations
Thu May 19 08:02:12 2022  read 380290 relations
Thu May 19 08:02:14 2022  multiplying 380290 relations
Thu May 19 08:02:25 2022  multiply complete, coefficients have about 9.62 million bits
Thu May 19 08:02:25 2022  initial square root is modulo 337741
Thu May 19 08:02:42 2022  sqrtTime: 77
Thu May 19 08:02:42 2022  p47 factor: 47905578212145969282326953022067193433803697921
Thu May 19 08:02:42 2022  p77 factor: 43607896011990728231216714000846702511345255853115877196568494850090995266661
Thu May 19 08:02:42 2022  elapsed time 00:01:19

117685559639344304555875280338043125418540469920328372351344148406562389729290672212119<87>

8157575696980902379658727045645462572328329<43>
14426536021345094612813205184399194623284511<44>

Thu May 19 07:54:38 2022  Msieve v. 1.53 (SVN 1005)
Thu May 19 07:54:38 2022  random seeds: 577cd098 c43a8041
Thu May 19 07:54:38 2022  factoring 117685559639344304555875280338043125418540469920328372351344148406562389729290672212119 (87 digits)
Thu May 19 07:54:39 2022  searching for 15-digit factors
Thu May 19 07:54:39 2022  commencing quadratic sieve (87-digit input)
Thu May 19 07:54:39 2022  using multiplier of 1
Thu May 19 07:54:39 2022  using generic 32kb sieve core
Thu May 19 07:54:39 2022  sieve interval: 17 blocks of size 32768
Thu May 19 07:54:39 2022  processing polynomials in batches of 12
Thu May 19 07:54:39 2022  using a sieve bound of 1468387 (56000 primes)
Thu May 19 07:54:39 2022  using large prime bound of 117470960 (26 bits)
Thu May 19 07:54:39 2022  using double large prime bound of 335640846215040 (41-49 bits)
Thu May 19 07:54:39 2022  using trial factoring cutoff of 49 bits
Thu May 19 07:54:39 2022  polynomial 'A' values have 11 factors
Thu May 19 08:23:26 2022  56139 relations (15587 full + 40552 combined from 589827 partial), need 56096
Thu May 19 08:23:26 2022  begin with 605414 relations
Thu May 19 08:23:26 2022  reduce to 134826 relations in 10 passes
Thu May 19 08:23:26 2022  attempting to read 134826 relations
Thu May 19 08:23:27 2022  recovered 134826 relations
Thu May 19 08:23:27 2022  recovered 114672 polynomials
Thu May 19 08:23:28 2022  attempting to build 56139 cycles
Thu May 19 08:23:28 2022  found 56139 cycles in 5 passes
Thu May 19 08:23:28 2022  distribution of cycle lengths:
Thu May 19 08:23:28 2022     length 1 : 15587
Thu May 19 08:23:28 2022     length 2 : 10878
Thu May 19 08:23:28 2022     length 3 : 9954
Thu May 19 08:23:28 2022     length 4 : 7284
Thu May 19 08:23:28 2022     length 5 : 5230
Thu May 19 08:23:28 2022     length 6 : 3186
Thu May 19 08:23:28 2022     length 7 : 1913
Thu May 19 08:23:28 2022     length 9+: 2107
Thu May 19 08:23:28 2022  largest cycle: 18 relations
Thu May 19 08:23:28 2022  matrix is 56000 x 56139 (13.5 MB) with weight 3088403 (55.01/col)
Thu May 19 08:23:28 2022  sparse part has weight 3088403 (55.01/col)
Thu May 19 08:23:28 2022  filtering completed in 3 passes
Thu May 19 08:23:28 2022  matrix is 51807 x 51871 (12.6 MB) with weight 2885439 (55.63/col)
Thu May 19 08:23:28 2022  sparse part has weight 2885439 (55.63/col)
Thu May 19 08:23:28 2022  saving the first 48 matrix rows for later
Thu May 19 08:23:28 2022  matrix includes 64 packed rows
Thu May 19 08:23:28 2022  matrix is 51759 x 51871 (7.8 MB) with weight 2196615 (42.35/col)
Thu May 19 08:23:28 2022  sparse part has weight 1518702 (29.28/col)
Thu May 19 08:23:28 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Thu May 19 08:23:29 2022  commencing Lanczos iteration
Thu May 19 08:23:29 2022  memory use: 4.9 MB
Thu May 19 08:23:37 2022  lanczos halted after 819 iterations (dim = 51756)
Thu May 19 08:23:37 2022  recovered 15 nontrivial dependencies
Thu May 19 08:23:37 2022  p43 factor: 8157575696980902379658727045645462572328329
Thu May 19 08:23:37 2022  p44 factor: 14426536021345094612813205184399194623284511
Thu May 19 08:23:37 2022  elapsed time 00:28:59

Msieve v. 1.53

Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

819871380877541344261165601774538709809026735369222383664540144700993937352065886948104879200194788262753452160870419657<120>

289111108861726180729597903559794042157<39>
2835834929019151148277229517148051311072570292645710199626716676047818720538607501<82>

819871380877541344261165601774538709809026735369222383664540144700993937352065886948104879200194788262753452160870419657=289111108861726180729597903559794042157*2835834929019151148277229517148051311072570292645710199626716676047818720538607501

cado polynomial
n: 819871380877541344261165601774538709809026735369222383664540144700993937352065886948104879200194788262753452160870419657
skew: 0.18
type: snfs
c0: -1
c2: -18
c4: 1000
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4-18*x^2-1
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1690000
tasks.lim1 = 1690000
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: 289111108861726180729597903559794042157 2835834929019151148277229517148051311072570292645710199626716676047818720538607501
Info:Square Root: Total cpu/real time for sqrt: 28.99/9.56507
Info:Filtering - Singleton removal: Total cpu/real time for purge: 40.61/36.6581
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6042292
Info:Lattice Sieving: Average J: 1897.69 for 137489 special-q, max bucket fill -bkmult 1.0,1s:1.315000
Info:Lattice Sieving: Total time: 21783.1s
Info:Linear Algebra: Total cpu/real time for bwc: 548.66/143.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 326.56, WCT time 83.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6016 iterations)
Info:Linear Algebra: Lingen CPU time 24.65, WCT time 6.3
Info:Linear Algebra: Mksol: CPU time 180.45,  WCT time 46.57, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3072 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.76/24.4919
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 48.51/47.1041
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 37.3s
Info:Filtering - Merging: Merged matrix has 191912 rows and total weight 32718411 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.4/10.6625
Info:Filtering - Merging: Total cpu/real time for replay: 5.85/4.86952
Info:Generate Factor Base: Total cpu/real time for makefb: 1.05/0.57959
Info:Quadratic Characters: Total cpu/real time for characters: 5.83/2.27389
Info:Square Root: Total cpu/real time for sqrt: 28.99/9.56507
Info:Generate Free Relations: Total cpu/real time for freerel: 44.32/12.8674
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 22160.2/11291.5
Info:root: Cleaning up computation data in /tmp/cado.oar2s_tp
289111108861726180729597903559794042157 2835834929019151148277229517148051311072570292645710199626716676047818720538607501

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)

84924480383445008555320776311855557677005969301502193397568738397156778629114317066523778861155230549210984049318075598817056552421<131>

31090124577558837273528022976643474560443597939<47>
2731558060231908735476447147614750253192713313885383934394859044851281117275850055239<85>

84924480383445008555320776311855557677005969301502193397568738397156778629114317066523778861155230549210984049318075598817056552421=31090124577558837273528022976643474560443597939*2731558060231908735476447147614750253192713313885383934394859044851281117275850055239

cado polynomial
n: 84924480383445008555320776311855557677005969301502193397568738397156778629114317066523778861155230549210984049318075598817056552421
skew: 0.18
type: snfs
c0: -1
c2: -18
c4: 1000
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4-18*x^2-1
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1970000
tasks.lim1 = 1970000
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: 31090124577558837273528022976643474560443597939 2731558060231908735476447147614750253192713313885383934394859044851281117275850055239
Info:Square Root: Total cpu/real time for sqrt: 46.45/14.8145
Info:Filtering - Singleton removal: Total cpu/real time for purge: 33.43/33.5457
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6070941
Info:Lattice Sieving: Average J: 1898.55 for 171427 special-q, max bucket fill -bkmult 1.0,1s:1.315330
Info:Lattice Sieving: Total time: 14568.1s
Info:Linear Algebra: Total cpu/real time for bwc: 954.59/246.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 574.41, WCT time 146.56, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 41.94, WCT time 10.67
Info:Linear Algebra: Mksol: CPU time 315.55,  WCT time 80.59, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 43.81/12.624
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.08/24.6884
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 24.6s
Info:Filtering - Merging: Merged matrix has 267470 rows and total weight 45616924 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 53.21/14.975
Info:Filtering - Merging: Total cpu/real time for replay: 8.52/7.04968
Info:Generate Factor Base: Total cpu/real time for makefb: 1.25/0.712755
Info:Quadratic Characters: Total cpu/real time for characters: 8.54/3.34571
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.96/48.5962
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.5s
Info:Square Root: Total cpu/real time for sqrt: 46.45/14.8145
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27696.1/7785.09
Info:root: Cleaning up computation data in /tmp/cado.dfvr1zeg
31090124577558837273528022976643474560443597939 2731558060231908735476447147614750253192713313885383934394859044851281117275850055239

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)

1435105196009322615565900080829429954833077676518190252555983346063433974534027011521297183550083729060003369914021269091365871846569803667419939033<148>

300780452986911780382403060529315302769906683740218093849694879<63>
4771271476447208038830958017134779657750800262476115576919497857781047966240772878727<85>

Number: n
N=1435105196009322615565900080829429954833077676518190252555983346063433974534027011521297183550083729060003369914021269091365871846569803667419939033  ( 148 digits)
SNFS difficulty: 155 digits.
Divisors found:

Thu May 19 12:00:21 2022  p63 factor: 300780452986911780382403060529315302769906683740218093849694879
Thu May 19 12:00:21 2022  p85 factor: 4771271476447208038830958017134779657750800262476115576919497857781047966240772878727
Thu May 19 12:00:21 2022  elapsed time 00:06:04 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 5x10^155-9x10^77-5 = 5(77)45(77)
#
n: 1435105196009322615565900080829429954833077676518190252555983346063433974534027011521297183550083729060003369914021269091365871846569803667419939033
m: 100000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -18
c0: -1
skew: 0.18
# Murphy_E = 7.729e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2322708 hash collisions in 16395351 relations (15500831 unique)
Msieve: matrix is 370297 x 370523 (121.8 MB)

Sieving start time : 2022/05/19 11:16:46
Sieving end time  : 2022/05/19 11:53:57

Total sieving time: 0hrs 37min 11secs.

Total relation processing time: 0hrs 2min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,155,4,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

5170021863521657060634926664206342680718901777112403887361287268804894619719788011403248574401882129562300274613771362028622678229093<133>

261416732338322228592895487633333663329357818138434093<54>
19776935536133471958911260841188621667993723330749527855274694922607775578815001<80>

5170021863521657060634926664206342680718901777112403887361287268804894619719788011403248574401882129562300274613771362028622678229093=261416732338322228592895487633333663329357818138434093*19776935536133471958911260841188621667993723330749527855274694922607775578815001

cado polynomial
n: 5170021863521657060634926664206342680718901777112403887361287268804894619719788011403248574401882129562300274613771362028622678229093
skew: 0.56
type: snfs
c0: -5
c2: -9
c4: 50
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^4-9*x^2-5
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
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: 261416732338322228592895487633333663329357818138434093 19776935536133471958911260841188621667993723330749527855274694922607775578815001
Info:Square Root: Total cpu/real time for sqrt: 105.56/34.1627
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.01/57.1787
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633557
Info:Lattice Sieving: Average J: 1896.93 for 586266 special-q, max bucket fill -bkmult 1.0,1s:1.304490
Info:Lattice Sieving: Total time: 60147s
Info:Linear Algebra: Total cpu/real time for bwc: 5076.6/1304.36
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3166.5, WCT time 808.56, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 100.89, WCT time 25.62
Info:Linear Algebra: Mksol: CPU time 1722.09,  WCT time 438.95, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 87.57/24.3126
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.64/51.8264
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.8s
Info:Filtering - Merging: Merged matrix has 576337 rows and total weight 98456077 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 120.61/33.9668
Info:Filtering - Merging: Total cpu/real time for replay: 19.39/16.1083
Info:Generate Factor Base: Total cpu/real time for makefb: 2.18/1.19011
Info:Quadratic Characters: Total cpu/real time for characters: 18.86/7.4465
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.04/87.2999
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 78.8s
Info:Square Root: Total cpu/real time for sqrt: 105.56/34.1627
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 116285/31870.9
Info:root: Cleaning up computation data in /tmp/cado.qh4bdcpp
261416732338322228592895487633333663329357818138434093 19776935536133471958911260841188621667993723330749527855274694922607775578815001

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)

518313227904019557918529153801755401027699934888509784888390342478370469036561925082948886361107448026578036766859918983488197451<129>

2241031659781240052702902311450872779949413<43>
231283313487242337034942384733965968632630525168812460279591398130597681139513534694127<87>

518313227904019557918529153801755401027699934888509784888390342478370469036561925082948886361107448026578036766859918983488197451=
2241031659781240052702902311450872779949413=231283313487242337034942384733965968632630525168812460279591398130597681139513534694127

cado polynomial
n: 518313227904019557918529153801755401027699934888509784888390342478370469036561925082948886361107448026578036766859918983488197451
skew: 0.18
type: snfs
c0: -1
c2: -18
c4: 1000
Y0: 100000000000000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^4-18*x^2-1
# g(x) = -x+100000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
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: 231283313487242337034942384733965968632630525168812460279591398130597681139513534694127 2241031659781240052702902311450872779949413
Info:Square Root: Total cpu/real time for sqrt: 354.06/110.537
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.27/110.953
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 12059452
Info:Lattice Sieving: Average J: 1897.64 for 1170693 special-q, max bucket fill -bkmult 1.0,1s:1.228610
Info:Lattice Sieving: Total time: 135391s
Info:Linear Algebra: Total cpu/real time for bwc: 13355.5/3432.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8438.05, WCT time 2158.94, iteration CPU time 0.07, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Linear Algebra: Lingen CPU time 166.49, WCT time 42.38
Info:Linear Algebra: Mksol: CPU time 4599.35,  WCT time 1175.07, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14592 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 88.3/59.663
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.84/54.2522
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: 154.28/148.747
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 121.7s
Info:Filtering - Merging: Merged matrix has 930283 rows and total weight 158517270 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 211.53/59.3392
Info:Filtering - Merging: Total cpu/real time for replay: 33.31/27.8593
Info:Generate Factor Base: Total cpu/real time for makefb: 2.7/3.32333
Info:Quadratic Characters: Total cpu/real time for characters: 31.61/12.5098
Info:Square Root: Total cpu/real time for sqrt: 354.06/110.537
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 244368/71713.6
Info:root: Cleaning up computation data in /tmp/cado.didmhjik
231283313487242337034942384733965968632630525168812460279591398130597681139513534694127 2241031659781240052702902311450872779949413

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)

192316462641083508442713191646837296028758262251067683834514775576801059043527023645161959627296934147628237387035716204366343698149660675458253364373956591479259<162>

346431293922711557437845937036271931458741<42>
10878039190877246135722152174328726665163580788110565279<56>
51032721257722158259069428156855683994103962833470111926917497681<65>

Number: n
N=192316462641083508442713191646837296028758262251067683834514775576801059043527023645161959627296934147628237387035716204366343698149660675458253364373956591479259  ( 162 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 21 22:53:36 2022  found factor: 346431293922711557437845937036271931458741
Sat May 21 22:54:08 2022  found factor: 346431293922711557437845937036271931458741
Sat May 21 22:54:41 2022  p42 factor: 346431293922711557437845937036271931458741
Sat May 21 22:54:41 2022  p56 factor: 10878039190877246135722152174328726665163580788110565279
Sat May 21 22:54:41 2022  p65 factor: 51032721257722158259069428156855683994103962833470111926917497681
Sat May 21 22:54:41 2022  elapsed time 00:12:15 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 5x10^171-9x10^85-5 = 5(85)45(85)
#
n: 192316462641083508442713191646837296028758262251067683834514775576801059043527023645161959627296934147628237387035716204366343698149660675458253364373956591479259
m: 1000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -18
c0: -1
skew: 0.18
# Murphy_E = 1.113e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1858989 hash collisions in 14905219 relations (14451224 unique)
Msieve: matrix is 691234 x 691460 (237.3 MB)

Sieving start time : 2022/05/21 19:13:40
Sieving end time  : 2022/05/21 22:41:51

Total sieving time: 3hrs 28min 11secs.

Total relation processing time: 0hrs 6min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,171,4,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

1422844085700390601566409674713502271630400475779101477094085011628048416575005878285873041074594808153481458374237307309980577970867440703<139>

167547249939256906094214040373856659301309401<45>
88708578245899660380534380501919466020462410171<47>
95731395628870200076008026874769578615013484693<47>

Number: n
N=1422844085700390601566409674713502271630400475779101477094085011628048416575005878285873041074594808153481458374237307309980577970867440703  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:

Thu Jun  9 03:37:09 2022  found factor: 167547249939256906094214040373856659301309401
Thu Jun  9 03:38:39 2022  p45 factor: 167547249939256906094214040373856659301309401
Thu Jun  9 03:38:39 2022  p47 factor: 88708578245899660380534380501919466020462410171
Thu Jun  9 03:38:39 2022  p47 factor: 95731395628870200076008026874769578615013484693
Thu Jun  9 03:38:39 2022  elapsed time 00:16:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 5x10^173-9x10^86-5 = 5(86)45(86)
#
n: 1422844085700390601566409674713502271630400475779101477094085011628048416575005878285873041074594808153481458374237307309980577970867440703
m: 10000000000000000000000000000000000000000000
deg: 4
c4: 50
c2: -9
c0: -5
skew: 0.56
# Murphy_E = 9.667e-11
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1232911 hash collisions in 11557979 relations (11546861 unique)
Msieve: matrix is 868386 x 868611 (301.2 MB)

Sieving start time : 2022/06/09 01:03:22
Sieving end time  : 2022/06/09 03:21:47

Total sieving time: 2hrs 18min 25secs.

Total relation processing time: 0hrs 11min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,173,4,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

4150819993951847685114370023737082867703121238183991937077544275925749485863572127184817788746911582756299123993108184004957184014613826568140837<145>

39200190266358491022948735634005716452209815462400863<53>
105887751200893313461771465619961972652934571456503588407140908207078308172857357613272155899<93>

Number: n
N=4150819993951847685114370023737082867703121238183991937077544275925749485863572127184817788746911582756299123993108184004957184014613826568140837  ( 145 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon May 23 17:22:53 2022  p53 factor: 39200190266358491022948735634005716452209815462400863
Mon May 23 17:22:53 2022  p93 factor: 105887751200893313461771465619961972652934571456503588407140908207078308172857357613272155899
Mon May 23 17:22:53 2022  elapsed time 00:14:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 5x10^175-9x10^87-5 = 5(87)45(87)
#
n: 4150819993951847685114370023737082867703121238183991937077544275925749485863572127184817788746911582756299123993108184004957184014613826568140837
m: 100000000000000000000000000000
deg: 6
c6: 50
c3: -9
c0: -5
skew: 0.68
# Murphy_E = 8.389e-11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3858599 hash collisions in 29883452 relations (27350305 unique)
Msieve: matrix is 697914 x 698141 (233.5 MB)

Sieving start time : 2022/05/23 13:33:29
Sieving end time  : 2022/05/23 17:07:42

Total sieving time: 3hrs 34min 13secs.

Total relation processing time: 0hrs 6min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 45sec.

Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

141131914100615413346672286353192026559613785539501832786950795428916652717505823768565593621233442350384003334098080602312915055172546051226784371891115764622665729601<168>

6295282423367887013799536437307550064891055753<46>
96246111060478155115902558039811464397744509765113458458521<59>
232930748815692179659713609952752663601933678420968337835764577<63>

Number: n
N=141131914100615413346672286353192026559613785539501832786950795428916652717505823768565593621233442350384003334098080602312915055172546051226784371891115764622665729601  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed May 25 21:23:51 2022  found factor: 6295282423367887013799536437307550064891055753
Wed May 25 21:24:57 2022  p46 factor: 6295282423367887013799536437307550064891055753
Wed May 25 21:24:57 2022  p59 factor: 96246111060478155115902558039811464397744509765113458458521
Wed May 25 21:24:57 2022  p63 factor: 232930748815692179659713609952752663601933678420968337835764577
Wed May 25 21:24:57 2022  elapsed time 00:18:50 (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 = 5x10^177-9x10^88-5 = 5(88)45(88)
#
n: 141131914100615413346672286353192026559613785539501832786950795428916652717505823768565593621233442350384003334098080602312915055172546051226784371891115764622665729601
m: 100000000000000000000000000000
deg: 6
c6: 1000
c3: -18
c0: -1
skew: 0.32
# Murphy_E = 6.526e-11
type: snfs
lss: 1
rlim: 6200000
alim: 6200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3542413 hash collisions in 28841611 relations (27405317 unique)
Msieve: matrix is 813548 x 813777 (275.2 MB)

Sieving start time : 2022/05/25 17:16:58
Sieving end time  : 2022/05/25 21:05:20

Total sieving time: 3hrs 48min 22secs.

Total relation processing time: 0hrs 9min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,177,6,0,0,0,0,0,0,0,0,6200000,6200000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

140014235493080594768706584518067744888200979088872691540881035495254731236649741897244668929976731260675897498103952993098711928152898698103<141>

501832996318503258280531288351443869039<39>
279005638370212686989506410155746184720944166740319334879117071783225188064387152120706752675769273977<102>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:840770910
Step 1 took 5906ms
Step 2 took 3375ms
********** Factor found in step 2: 501832996318503258280531288351443869039
Found prime factor of 39 digits: 501832996318503258280531288351443869039
Prime cofactor 279005638370212686989506410155746184720944166740319334879117071783225188064387152120706752675769273977 has 102 digits
 

GMP-ECM

112341639254348470874473906148580918416613017440908206394334623504848570298267466771167127869509963416990427361812079076812864200372324142654660621085512550670706976427<168>

112570473458072278916534420164320203623033526350099<51>
997967191602787039306937038504770841623640538111872072111483848018355319565713149700009341536891941788188195062660873<117>

Number: n
N=112341639254348470874473906148580918416613017440908206394334623504848570298267466771167127869509963416990427361812079076812864200372324142654660621085512550670706976427  ( 168 digits)
SNFS difficulty: 181 digits.
Divisors found:

Fri May 27 04:15:15 2022  p51 factor: 112570473458072278916534420164320203623033526350099
Fri May 27 04:15:15 2022  p117 factor: 997967191602787039306937038504770841623640538111872072111483848018355319565713149700009341536891941788188195062660873
Fri May 27 04:15:15 2022  elapsed time 00:20:08 (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 = 5x10^181-9x10^90-5 = 5(90)45(90)
#
n: 112341639254348470874473906148580918416613017440908206394334623504848570298267466771167127869509963416990427361812079076812864200372324142654660621085512550670706976427
m: 1000000000000000000000000000000
deg: 6
c6: 50
c3: -9
c0: -5
skew: 0.68
# Murphy_E = 5.426e-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, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3577969 hash collisions in 29235274 relations (26991266 unique)
Msieve: matrix is 912939 x 913165 (309.8 MB)

Sieving start time : 2022/05/27 00:03:23
Sieving end time  : 2022/05/27 03:54:39

Total sieving time: 3hrs 51min 16secs.

Total relation processing time: 0hrs 12min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 8sec.

Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

3881772107492214512806602036296883439947250403189974079377859639476019021571631440929631121453653474921548561801452529473648229645157781665155940547632546783775108735481176789<175>

47956540020087211184342911529324578712759<41>
80943539835573720166658387166270443998107168573269619838013457595592867453302190814047148614141490868935213253769344663784941342505171<134>

Number: n
N=3881772107492214512806602036296883439947250403189974079377859639476019021571631440929631121453653474921548561801452529473648229645157781665155940547632546783775108735481176789  ( 175 digits)
SNFS difficulty: 186 digits.
Divisors found:

Sat May 28 14:09:54 2022  p41 factor: 47956540020087211184342911529324578712759
Sat May 28 14:09:54 2022  p134 factor: 80943539835573720166658387166270443998107168573269619838013457595592867453302190814047148614141490868935213253769344663784941342505171
Sat May 28 14:09:54 2022  elapsed time 00:29:33 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 5x10^185-9x10^92-5 = 5(92)45(92)
#
n: 3881772107492214512806602036296883439947250403189974079377859639476019021571631440929631121453653474921548561801452529473648229645157781665155940547632546783775108735481176789
m: 10000000000000000000000000000000
deg: 6
c6: 5
c3: -9
c0: -50
skew: 1.47
# Murphy_E = 3.76e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3357785 hash collisions in 28963069 relations (26967497 unique)
Msieve: matrix is 1091295 x 1091523 (376.1 MB)

Sieving start time : 2022/05/28 07:35:40
Sieving end time  : 2022/05/28 13:39:27

Total sieving time: 6hrs 3min 47secs.

Total relation processing time: 0hrs 19min 43sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

2496778338855555171093233303994475839895240511947765174576363662050346915880244944305815916411478024773768692176060882596571872270519909018446127119<148>

7947263285022895623721818410181820219329110881955299710762712183<64>
314168317987009045151986071414042320480768228594320347161339133564111943724777002793<84>

2496778338855555171093233303994475839895240511947765174576363662050346915880244944305815916411478024773768692176060882596571872270519909018446127119=7947263285022895623721818410181820219329110881955299710762712183*314168317987009045151986071414042320480768228594320347161339133564111943724777002793

cado polynomial
n: 2496778338855555171093233303994475839895240511947765174576363662050346915880244944305815916411478024773768692176060882596571872270519909018446127119
skew: 0.32
type: snfs
c0: -1
c3: -18
c6: 1000
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 1000*x^6-18*x^3-1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9900000
tasks.lim1 = 9900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 314168317987009045151986071414042320480768228594320347161339133564111943724777002793 7947263285022895623721818410181820219329110881955299710762712183
Info:Square Root: Total cpu/real time for sqrt: 574.46/173.601
Info:Filtering - Singleton removal: Total cpu/real time for purge: 288.45/340.938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24153889
Info:Lattice Sieving: Average J: 1894.38 for 2036885 special-q, max bucket fill -bkmult 1.0,1s:1.208670
Info:Lattice Sieving: Total time: 348193s
Info:Linear Algebra: Total cpu/real time for bwc: 57382.5/14718.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36743.15, WCT time 9385.73, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58112 iterations)
Info:Linear Algebra: Lingen CPU time 373.72, WCT time 95.11
Info:Linear Algebra: Mksol: CPU time 19919.35,  WCT time 5101.64, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 100.6/116.746
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.99999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 415.17/409.258
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 336.19999999999993s
Info:Filtering - Merging: Merged matrix has 1857852 rows and total weight 316035740 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 481.64/134.196
Info:Filtering - Merging: Total cpu/real time for replay: 72.18/63.7963
Info:Generate Free Relations: Total cpu/real time for freerel: 239.52/61.1937
Info:Generate Factor Base: Total cpu/real time for makefb: 8.31/3.38081
Info:Quadratic Characters: Total cpu/real time for characters: 65.77/28.3664
Info:Square Root: Total cpu/real time for sqrt: 574.46/173.601
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 714063/143929
Info:root: Cleaning up computation data in /tmp/cado.lvf_ns65
314168317987009045151986071414042320480768228594320347161339133564111943724777002793 7947263285022895623721818410181820219329110881955299710762712183

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)

126073017572772123196408382918263360040675461088365994438486543672324772588555037488839600576068839600631499236870544718011032690816105426777315639751<150>

606170935513126646783552322727124556511<39>
207982617091416137098395327037318813693421069386149230617775801334584269344617530409202304950675572061243874841<111>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3446859267
Step 1 took 5938ms
Step 2 took 3406ms
********** Factor found in step 2: 606170935513126646783552322727124556511
Found prime factor of 39 digits: 606170935513126646783552322727124556511
Prime cofactor 207982617091416137098395327037318813693421069386149230617775801334584269344617530409202304950675572061243874841 has 111 digits
 

GMP-ECM

83080193860073271042420367142276693787330988736242645586313155548702352303058612562565992432238989002841841885638120946596889702462648843460793<143>

38127485589650669976322637124057047150008081367799577194572233063<65>
2179010563513912139260109701157879710115800540587452916227482823811694221631711<79>

83080193860073271042420367142276693787330988736242645586313155548702352303058612562565992432238989002841841885638120946596889702462648843460793=38127485589650669976322637124057047150008081367799577194572233063*2179010563513912139260109701157879710115800540587452916227482823811694221631711

cado polynomial
n: 83080193860073271042420367142276693787330988736242645586313155548702352303058612562565992432238989002841841885638120946596889702462648843460793
skew: 0.68
type: snfs
c0: -5
c3: -9
c6: 50
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 50*x^6+9*x^3-5
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 38127485589650669976322637124057047150008081367799577194572233063 2179010563513912139260109701157879710115800540587452916227482823811694221631711
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1308.52/389.466
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 108.22/103.623
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 102.89999999999998s
Info:Quadratic Characters: Total cpu/real time for characters: 77.31/33.781
Info:Filtering - Singleton removal: Total cpu/real time for purge: 350.9/332.143
Info:Filtering - Merging: Merged matrix has 2157083 rows and total weight 368952065 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 638.67/179.725
Info:Filtering - Merging: Total cpu/real time for replay: 92.91/141.698
Info:Generate Factor Base: Total cpu/real time for makefb: 9.2/3.39719
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26299845
Info:Lattice Sieving: Average J: 1894.63 for 2253819 special-q, max bucket fill -bkmult 1.0,1s:1.182040
Info:Lattice Sieving: Total time: 422498s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 514.95/544.499
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 402.29999999999995s
Info:Linear Algebra: Total cpu/real time for bwc: 90573.5/23744.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 57959.36, WCT time 14924.18, iteration CPU time 0.2, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (67584 iterations)
Info:Linear Algebra: Lingen CPU time 378.82, WCT time 382.95
Info:Linear Algebra: Mksol: CPU time 31302.21,  WCT time 8080.01, iteration CPU time 0.22, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (33792 iterations)
Info:Square Root: Total cpu/real time for sqrt: 1308.52/389.466
Info:Generate Free Relations: Total cpu/real time for freerel: 225.31/58.3882
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 888553/236543
Info:root: Cleaning up computation data in /tmp/cado.h4gnmpqv
38127485589650669976322637124057047150008081367799577194572233063 2179010563513912139260109701157879710115800540587452916227482823811694221631711

cado-nfs-3.0.0

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

40926673581932361683658089360949455689401361134498721828205354139456152056284949808642828065968934076563314894925563404351969959491220275264729196767329949307063570015423004112053983<182>

482992179552330961328871301473757<33>
2109034187195989048500232099684833117576747136497437<52>
40177483294629645823624880427116335792875434191718549302108460856374615586999445297465933469560487<98>

Number: n
N=84735685823869663267775079710649824536397761656627853729627280397868244165201383330409469607387136575083337232268867001398334188819094603312991971819  ( 149 digits)
SNFS difficulty: 195 digits.
Divisors found:

Mon Jul 18 15:25:41 2022  p52 factor: 2109034187195989048500232099684833117576747136497437
Mon Jul 18 15:25:41 2022  p98 factor: 40177483294629645823624880427116335792875434191718549302108460856374615586999445297465933469560487
Mon Jul 18 15:25:41 2022  elapsed time 01:08:22 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 5x10^195-9x10^97-5 = 5(97)45(97)
#
# n: 40926673581932361683658089360949455689401361134498721828205354139456152056284949808642828065968934076563314894925563404351969959491220275264729196767329949307063570015423004112053983
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 40926673581932361683658089360949455689401361134498721828205354139456152056284949808642828065968934076563314894925563404351969959491220275264729196767329949307063570015423004112053983 (182 digits)
# Using B1=15340000, B2=46847878360, polynomial Dickson(12), sigma=1:3313114994
# Step 1 took 43287ms
# Step 2 took 17065ms
# ********** Factor found in step 2: 482992179552330961328871301473757
# Found prime factor of 33 digits: 482992179552330961328871301473757
# Composite cofactor 84735685823869663267775079710649824536397761656627853729627280397868244165201383330409469607387136575083337232268867001398334188819094603312991971819 has 149 digits
#
n: 84735685823869663267775079710649824536397761656627853729627280397868244165201383330409469607387136575083337232268867001398334188819094603312991971819
m: 100000000000000000000000000000000
deg: 6
c6: 1000
c3: -18
c0: -1
skew: 0.32
# Murphy_E = 1.736e-11
type: snfs
lss: 1
rlim: 12400000
alim: 12400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12400000/12400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3646568 hash collisions in 28033531 relations (26373437 unique)
Msieve: matrix is 1612697 x 1612922 (559.7 MB)

Sieving start time : 2022/07/18 07:12:50
Sieving end time  : 2022/07/18 14:16:49

Total sieving time: 7hrs 3min 59secs.

Total relation processing time: 0hrs 54min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 34sec.

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

20462451401677921014937589523224882340904440351954164108860241456926539799467976263556374053611622635563740536116226723961530591364845508491917331696337221199099652138326171475342746060978105177<194>

4006960420809439941641499644064696245587573846042448719615998913381<67>
5106726608880337412134057423595551385191382957105689812590163587060831626288321733097874724457538801533645562439162929890431717<127>

Number: n
N=20462451401677921014937589523224882340904440351954164108860241456926539799467976263556374053611622635563740536116226723961530591364845508491917331696337221199099652138326171475342746060978105177  ( 194 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Aug 22 01:17:53 2022  p67 factor: 4006960420809439941641499644064696245587573846042448719615998913381
Mon Aug 22 01:17:53 2022  p127 factor: 5106726608880337412134057423595551385191382957105689812590163587060831626288321733097874724457538801533645562439162929890431717
Mon Aug 22 01:17:53 2022  elapsed time 01:11:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 5x10^197-9x10^98-5 = 5(98)45(98)
#
n: 20462451401677921014937589523224882340904440351954164108860241456926539799467976263556374053611622635563740536116226723961530591364845508491917331696337221199099652138326171475342746060978105177
m: 1000000000000000000000000000000000
deg: 6
c6: 5
c3: -9
c0: -50
skew: 1.47
# Murphy_E = 1.537e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3221710 hash collisions in 28918007 relations (26480451 unique)
Msieve: matrix is 1742424 x 1742649 (603.7 MB)

Sieving start time : 2022/08/21 15:20:02
Sieving end time  : 2022/08/22 00:05:40

Total sieving time: 8hrs 45min 38secs.

Total relation processing time: 1hrs 0min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 37sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

255017468696605717491648177900186162752148522173768903169867135898809068421186851299314003009206130574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723<195>

69466438854164053322429650500654116177047<41>
3671088843808193973580297379732325434577373160951224535998130600140816571802828328787572196767884589884772815231497872232145287801859221081080781879954909<154>

Number: n
N=255017468696605717491648177900186162752148522173768903169867135898809068421186851299314003009206130574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723  ( 195 digits)
SNFS difficulty: 199 digits.
Divisors found:

Tue Aug 30 07:02:23 2022  p41 factor: 69466438854164053322429650500654116177047
Tue Aug 30 07:02:23 2022  p154 factor: 3671088843808193973580297379732325434577373160951224535998130600140816571802828328787572196767884589884772815231497872232145287801859221081080781879954909
Tue Aug 30 07:02:23 2022  elapsed time 01:31:19 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 5x10^199-9x10^99-5 = 5(99)45(99)
#
n: 255017468696605717491648177900186162752148522173768903169867135898809068421186851299314003009206130574044322036059470073700048453319052355086323413153801035370922908219213016091602274755820773723
m: 1000000000000000000000000000000000
deg: 6
c6: 50
c3: -9
c0: -5
skew: 0.68
# Murphy_E = 1.426e-11
type: snfs
lss: 1
rlim: 14900000
alim: 14900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14900000/14900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3634946 hash collisions in 27981271 relations (25518615 unique)
Msieve: matrix is 1878025 x 1878250 (652.9 MB)

Sieving start time : 2022/08/29 21:29:26
Sieving end time  : 2022/08/30 05:30:33

Total sieving time: 8hrs 1min 7secs.

Total relation processing time: 1hrs 8min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 14min 32sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,14900000,14900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

18294366398547753696700925162085707652062933307359113012423339393340591390630214392140860673109649342547410621513233191861919666449453799353808648210958545660381978589796958672017<179>

1515549059950723854895381056805671025705445815103545414045559232300688039<73>
12071114609211378278812637465787910147469672640159347955882278273121446582415867952854305434648199805636103<107>

Number: n
N=18294366398547753696700925162085707652062933307359113012423339393340591390630214392140860673109649342547410621513233191861919666449453799353808648210958545660381978589796958672017  ( 179 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sat Sep 10 08:13:33 2022  p73 factor: 1515549059950723854895381056805671025705445815103545414045559232300688039
Sat Sep 10 08:13:33 2022  p107 factor: 12071114609211378278812637465787910147469672640159347955882278273121446582415867952854305434648199805636103
Sat Sep 10 08:13:33 2022  elapsed time 01:57:31 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 5x10^201-9x10^100-5 = 5(100)45(100)
#
n: 18294366398547753696700925162085707652062933307359113012423339393340591390630214392140860673109649342547410621513233191861919666449453799353808648210958545660381978589796958672017
m: 1000000000000000000000000000000000
deg: 6
c6: 1000
c3: -18
c0: -1
skew: 0.32
# Murphy_E = 1.105e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3818155 hash collisions in 27486283 relations (25541423 unique)
Msieve: matrix is 2133671 x 2133896 (741.8 MB)

Sieving start time : 2022/09/09 20:36:56
Sieving end time  : 2022/09/10 06:15:34

Total sieving time: 9hrs 38min 38secs.

Total relation processing time: 1hrs 29min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 9sec.

Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,14700000,14700000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

4287575340828148948172399696125127987490093760861106650154895120998644405867249953068360878272657275404931976538479026557034909447411223318317512214331938143191916338541793940921528750935311<190>

218984039728467369166175718326022120925992471860543654840856718741401255842328023<81>
19579396499144841741543208110735286692487357579864776538155063839937999849152768189064953000511093683398706057<110>

Number: n
N=4287575340828148948172399696125127987490093760861106650154895120998644405867249953068360878272657275404931976538479026557034909447411223318317512214331938143191916338541793940921528750935311  ( 190 digits)
SNFS difficulty: 204 digits.
Divisors found:

Fri Sep  1 17:12:13 2023  prp81 factor: 218984039728467369166175718326022120925992471860543654840856718741401255842328023
Fri Sep  1 17:12:13 2023  prp110 factor: 19579396499144841741543208110735286692487357579864776538155063839937999849152768189064953000511093683398706057
Fri Sep  1 17:12:13 2023  elapsed time 02:42:51 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 5x10^203-9x10^101-5 = 5(101)45(101)
#
n: 4287575340828148948172399696125127987490093760861106650154895120998644405867249953068360878272657275404931976538479026557034909447411223318317512214331938143191916338541793940921528750935311
m: 10000000000000000000000000000000000
deg: 6
c6: 5
c3: -9
c0: -50
skew: 1.47
# Murphy_E = 9.759e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3170259 hash collisions in 18025868 relations (15441813 unique)
Msieve: matrix is 2277275 x 2277500 (640.1 MB)

Sieving start time: 2023/08/31 22:08:05
Sieving end time  : 2023/09/01 14:28:58

Total sieving time: 16hrs 20min 53secs.

Total relation processing time: 2hrs 34min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,204,6,0,0,0,0,0,0,0,0,18100000,18100000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

27102464503538494103652189022471366871241223589425749310539659660352942589900051157268773447714482260942248516431517004967344065798587462719845281685183555610076373151196813797094979<182>

68983699457874340228235136466053925884491288738778752828256681351287<68>
392882155009516619154078140179060309730430617480951058677992391551796609259422014437312554358346748642449061351317<114>

Number: n
N=27102464503538494103652189022471366871241223589425749310539659660352942589900051157268773447714482260942248516431517004967344065798587462719845281685183555610076373151196813797094979  ( 182 digits)
SNFS difficulty: 205 digits.
Divisors found:

Sun Nov  5 20:38:12 2023  prp68 factor: 68983699457874340228235136466053925884491288738778752828256681351287
Sun Nov  5 20:38:12 2023  prp114 factor: 392882155009516619154078140179060309730430617480951058677992391551796609259422014437312554358346748642449061351317
Sun Nov  5 20:38:12 2023  elapsed time 02:44:15 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.099).
Factorization parameters were as follows:
#
# N = 5x10^205-9x10^102-5 = 5(102)45(102)
#
n: 27102464503538494103652189022471366871241223589425749310539659660352942589900051157268773447714482260942248516431517004967344065798587462719845281685183555610076373151196813797094979
m: 10000000000000000000000000000000000
deg: 6
c6: 50
c3: -9
c0: -5
skew: 0.68
# Murphy_E = 9.042e-12
type: snfs
lss: 1
rlim: 18800000
alim: 18800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18800000/18800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 49400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3691336 hash collisions in 20326194 relations (16863373 unique)
Msieve: matrix is 2251005 x 2251230 (630.6 MB)

Sieving start time: 2023/11/04 21:32:05
Sieving end time  : 2023/11/05 17:53:30

Total sieving time: 20hrs 21min 25secs.

Total relation processing time: 2hrs 35min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 13sec.

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

1528665413054048869377876793427315056895336355833811354084988286653036730064163296394407276695817076655942105796076735201941906252735241878632809530577771<154>

424912594462715637141392853629226065890322997916730755967719106527019429737409029315918612902990573468632478775412692139052131033964090087909831412354207085545062928389067312682937574147069801594947419<201>

34632359030576905704027062238886682310473906719410512862180498157281392360952798697789419441625663148269415529436896205519338587974249933046264576629001211693385790802334936013<176>

582372551502149676822850644827474500668552776656716409287095717527700481791678785293409083142344482586599904816777397858951796984568882846673797149973991208034451792460770505483182296892835551674994068589<204>

15858438586344622488984132451072747368084865996461672860731564426388352369008120913320706915046701594175875633857400991615717950204039607828854718183275086330738832953109517566171761190266699344221146661451<206>

6384025896533604154917395276534267983962315232984700281240725054218923630720595986820544148199901520299303404210287311092783039114997226172028817<145>

656979586168553863987134759696693161862047680896475861654141<60>
9717236320483976842811206024199001653798675825265839252425325744930734403041176201637<85>

Number: 55455_111
N = 6384025896533604154917395276534267983962315232984700281240725054218923630720595986820544148199901520299303404210287311092783039114997226172028817 (145 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=656979586168553863987134759696693161862047680896475861654141 (pp60)
r2=9717236320483976842811206024199001653798675825265839252425325744930734403041176201637 (pp85)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 32.75 hours.
Factorization parameters were as follows:
n: 6384025896533604154917395276534267983962315232984700281240725054218923630720595986820544148199901520299303404210287311092783039114997226172028817
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -18
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31200310
Relations: 8932822 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 11.28 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 7586813 x 7587038
Matrix solve time: 20.86 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 32.75 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

12216302571742966087353381238270587646062958541499539716226988845588734224669063422708716736458755249801257740314590362665523940264672938153587814108987009635463514888679559229234154639234763996758257<200>

3593155103193720644411586247806747697<37>

3399881781024340823678085006116099051628166492258062329410455701772315827072264060995734278252751937956029503951535999170411541598625860156521708650834565314828481<163>

Resuming ECM residue saved by @cd939720376c with GMP-ECM 7.0.5-dev on Wed Aug 17 13:04:31 2022 
Input number is 12216302571742966087353381238270587646062958541499539716226988845588734224669063422708716736458755249801257740314590362665523940264672938153587814108987009635463514888679559229234154639234763996758257 (200 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:611022182
Step 1 took 0ms
Step 2 took 16395ms
********** Factor found in step 2: 3593155103193720644411586247806747697
Found prime factor of 37 digits: 3593155103193720644411586247806747697
Composite cofactor 3399881781024340823678085006116099051628166492258062329410455701772315827072264060995734278252751937956029503951535999170411541598625860156521708650834565314828481 has 163 digits

2070899754407682505090123207092711256134499180582977504123585838702053855405963332464890077921542179125978041803192613080090499048292139763800790435343341065860655874034818945996809349<184>

1405253509320101411192584727269198683964444003149138475541921681929735401307251534517157748494808420510680214141543202834607644546906072147491838228937929357515036930898524761833<178>

7270450781653869083957461463544379784961865524961472613638088737708545064800981379305845770629175194686849582410478914339112853752373533679656766876260085051425498101282164490597248100200390261<193>

19223564840081063301998798675732336047498355683726336001298853677240164774893499484178504862726145379355857390746254138367924796981817410303778754582340823007138022123072097176823244091592447315925641<200>

106362495120887711106610414043292848225721902169051776804038370839146739577833314053741407362001441295781944306658901068804075198587831463847396997521117461818183956013670611030334821686648089978800477<201>

578789995127009507587470267540839759<36>

183766989782792558851101514647767965345020872915980299915775332169462461078166394117426568467955028653028154939229031482584773238330027616264401856812043178462886803<165>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 15:38:21 2022 
Input number is 106362495120887711106610414043292848225721902169051776804038370839146739577833314053741407362001441295781944306658901068804075198587831463847396997521117461818183956013670611030334821686648089978800477 (201 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1227127608
Step 1 took 0ms
Step 2 took 3585ms
********** Factor found in step 2: 578789995127009507587470267540839759
Found prime factor of 36 digits: 578789995127009507587470267540839759
Composite cofactor 183766989782792558851101514647767965345020872915980299915775332169462461078166394117426568467955028653028154939229031482584773238330027616264401856812043178462886803 has 165 digits

183766989782792558851101514647767965345020872915980299915775332169462461078166394117426568467955028653028154939229031482584773238330027616264401856812043178462886803<165>

116136020963034201883242012458521916074771<42>
1582342741372938213374909283257048714962168078098441856143106190514229487140324623991151804399191135777151516794304399736193<124>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3822078958
Step 1 took 7235ms
Step 2 took 3781ms
********** Factor found in step 2: 116136020963034201883242012458521916074771
Found prime factor of 42 digits: 116136020963034201883242012458521916074771
Prime cofactor 1582342741372938213374909283257048714962168078098441856143106190514229487140324623991151804399191135777151516794304399736193 has 124 digits
 

GMP-ECM

1045551732462654992144845632158290381820575512922487552841301776126353371599860746825956973824658659640519019037755935624479066838567728347502382397503817863441<160>

4174371653337055025375870753434187560256632888407501513408049<61>
250469248857328102672261899292556748527684628665011285259292110042800839878588733576613788112759009<99>

Number: 55455_120
N = 1045551732462654992144845632158290381820575512922487552841301776126353371599860746825956973824658659640519019037755935624479066838567728347502382397503817863441 (160 digits)
SNFS difficulty: 242 digits.
Divisors found:
r1=4174371653337055025375870753434187560256632888407501513408049 (pp61)
r2=250469248857328102672261899292556748527684628665011285259292110042800839878588733576613788112759009 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 28.01 hours.
Factorization parameters were as follows:
# Murphy_E = 1.561e-11, selected by Dmitry Domanov
n: 1045551732462654992144845632158290381820575512922487552841301776126353371599860746825956973824658659640519019037755935624479066838567728347502382397503817863441 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 50
c2: -9
c0: -5
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: 0
Relations: 13789672 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 18.92 hours.
Total relation processing time: 0.63 hours.
Pruned matrix : 11096711 x 11096936
Matrix solve time: 8.18 hours.
time per square root: 0.29 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: 28.01 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz

GGNFS, NFS_factory, Msieve

726805750738757499131829097118210835087863105959403091816675309121516501902382734862301296286303820757036585696703161371420272627109489359852679220429957986188212361786652887406052577596959501820649787621722565072616487454146312173<231>

221798725440980041348040525040412946633174311<45>

3276870727249324405887537879156920608103772443376851356369499895376798594777944091712354716394164072319916105201259540891739944458865241996673114832712053944963382283515598131645431088843<187>

Resuming ECM residue saved by @89fe656b90a6 with GMP-ECM 7.0.5-dev on Thu Aug 11 15:49:13 2022 
Input number is 726805750738757499131829097118210835087863105959403091816675309121516501902382734862301296286303820757036585696703161371420272627109489359852679220429957986188212361786652887406052577596959501820649787621722565072616487454146312173 (231 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3987459823
Step 1 took 0ms
Step 2 took 18433ms
********** Factor found in step 2: 221798725440980041348040525040412946633174311
Found prime factor of 45 digits: 221798725440980041348040525040412946633174311
Composite cofactor 3276870727249324405887537879156920608103772443376851356369499895376798594777944091712354716394164072319916105201259540891739944458865241996673114832712053944963382283515598131645431088843 has 187 digits

203530369634874259213181415223657433929598407180214511983183449150228562649483182606209279170983034206992576005428143166849613077123790987637012365335942211803465672514050556603331313<183>

2221358863143289055028210998946670219487<40>

91624263423548194648261710276670772773619903989046967582830045994794023893866611635060776031284317382191970401701275807852668624395573290788399<143>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1981221587
Step 1 took 42392ms
Step 2 took 14576ms
********** Factor found in step 2: 2221358863143289055028210998946670219487
Found probable prime factor of 40 digits: 2221358863143289055028210998946670219487
Composite cofactor 91624263423548194648261710276670772773619903989046967582830045994794023893866611635060776031284317382191970401701275807852668624395573290788399 has 143 digits

91624263423548194648261710276670772773619903989046967582830045994794023893866611635060776031284317382191970401701275807852668624395573290788399<143>

33707752012754737226208835437209055422617360043<47>
2718195606425439583122299453980771794057803538135672841210963248775408031223765200086923850890893<97>

Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3926099346
Step 1 took 81375ms
Step 2 took 27703ms
********** Factor found in step 2: 33707752012754737226208835437209055422617360043
Found prime factor of 47 digits: 33707752012754737226208835437209055422617360043
Prime cofactor 2718195606425439583122299453980771794057803538135672841210963248775408031223765200086923850890893 has 97 digits
 

GMP-ECM

718653111068481830667615808142897699302078092316182358126765414329758567050625348323891942910261222957695934767649093451150436055843382129264843974347848327666604698806841128252882339174880313<192>

485364558256753504576241387001527537197240831073<48>
1480646039854275414353796756751575177339626064041460883375094935533765938711318067140907941404518529260944885641019340879048154443109259025585881<145>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2193926419
Step 1 took 42216ms
Step 2 took 14876ms
********** Factor found in step 2: 485364558256753504576241387001527537197240831073
Found probable prime factor of 48 digits: 485364558256753504576241387001527537197240831073
Probable prime cofactor 1480646039854275414353796756751575177339626064041460883375094935533765938711318067140907941404518529260944885641019340879048154443109259025585881 has 145 digits

7439847276216084015637264384249777773825701448027878401306428491483542152798434308104449666077657916789343530358130508218219890847043905012112077874763530543848703331157652053936311389121049<190>

3651275331496501021564855833931832820401<40>

2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449<151>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1165482532
Step 1 took 42584ms
Step 2 took 14852ms
********** Factor found in step 2: 3651275331496501021564855833931832820401
Found probable prime factor of 40 digits: 3651275331496501021564855833931832820401
Composite cofactor 2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449 has 151 digits

2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449<151>

54247954515736007074342049497206417556950841107974374866225825576104261<71>
37560906953473991716297042918375174239506825230346078972447426394632209630977109<80>

Mon Dec  2 18:10:44 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Dec  2 18:10:44 2024  random seeds: b0f0319d 7a2a417e
Mon Dec  2 18:10:44 2024  Using 20 OpenMP threads
Mon Dec  2 18:10:44 2024  factoring 2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449 (151 digits)
Mon Dec  2 18:10:45 2024  searching for 15-digit factors
Mon Dec  2 18:10:45 2024  commencing number field sieve (151-digit input)
Mon Dec  2 18:10:45 2024  R0: -90038582634987613803343160731
Mon Dec  2 18:10:45 2024  R1: 4132121360795009093447
Mon Dec  2 18:10:45 2024  A0: 45773807165804605790764884962844632
Mon Dec  2 18:10:45 2024  A1: -60667414694239788099057762602
Mon Dec  2 18:10:45 2024  A2: -1397068584609674301105179
Mon Dec  2 18:10:45 2024  A3: -160108700736366358
Mon Dec  2 18:10:45 2024  A4: 115609943352
Mon Dec  2 18:10:45 2024  A5: 1028160
Mon Dec  2 18:10:45 2024  skew 1.00, size 1.694e-14, alpha -7.585, combined = 8.820e-14 rroots = 3
Mon Dec  2 18:10:45 2024
Mon Dec  2 18:10:45 2024  commencing relation filtering
Mon Dec  2 18:10:45 2024  setting target matrix density to 70.0
Mon Dec  2 18:10:45 2024  estimated available RAM is 64320.1 MB
Mon Dec  2 18:10:45 2024  commencing duplicate removal, pass 1
Mon Dec  2 18:16:41 2024  found 3262937 hash collisions in 85965100 relations
Mon Dec  2 18:17:30 2024  added 122175 free relations
Mon Dec  2 18:17:30 2024  commencing duplicate removal, pass 2
Mon Dec  2 18:18:04 2024  found 0 duplicates and 86087275 unique relations
Mon Dec  2 18:18:04 2024  memory use: 261.2 MB
Mon Dec  2 18:18:04 2024  reading ideals above 720000
Mon Dec  2 18:18:04 2024  commencing singleton removal, initial pass
Mon Dec  2 18:28:10 2024  memory use: 2756.0 MB
Mon Dec  2 18:28:10 2024  reading all ideals from disk
Mon Dec  2 18:28:12 2024  memory use: 3631.0 MB
Mon Dec  2 18:28:25 2024  keeping 93976867 ideals with weight <= 200, target excess is 682754
Mon Dec  2 18:28:41 2024  commencing in-memory singleton removal
Mon Dec  2 18:28:45 2024  begin with 86087275 relations and 93976867 unique ideals
Mon Dec  2 18:29:05 2024  reduce to 27853260 relations and 25342637 ideals in 23 passes
Mon Dec  2 18:29:05 2024  max relations containing the same ideal: 94
Mon Dec  2 18:29:20 2024  removing 3767329 relations and 3367329 ideals in 400000 cliques
Mon Dec  2 18:29:22 2024  commencing in-memory singleton removal
Mon Dec  2 18:29:23 2024  begin with 24085931 relations and 25342637 unique ideals
Mon Dec  2 18:29:29 2024  reduce to 23666273 relations and 21547085 ideals in 12 passes
Mon Dec  2 18:29:29 2024  max relations containing the same ideal: 84
Mon Dec  2 18:29:43 2024  removing 2772588 relations and 2372589 ideals in 400000 cliques
Mon Dec  2 18:29:44 2024  commencing in-memory singleton removal
Mon Dec  2 18:29:45 2024  begin with 20893685 relations and 21547085 unique ideals
Mon Dec  2 18:29:50 2024  reduce to 20620911 relations and 18896896 ideals in 11 passes
Mon Dec  2 18:29:50 2024  max relations containing the same ideal: 78
Mon Dec  2 18:30:00 2024  removing 2456348 relations and 2056348 ideals in 400000 cliques
Mon Dec  2 18:30:02 2024  commencing in-memory singleton removal
Mon Dec  2 18:30:03 2024  begin with 18164563 relations and 18896896 unique ideals
Mon Dec  2 18:30:06 2024  reduce to 17916557 relations and 16587974 ideals in 10 passes
Mon Dec  2 18:30:06 2024  max relations containing the same ideal: 73
Mon Dec  2 18:30:16 2024  removing 2300779 relations and 1900779 ideals in 400000 cliques
Mon Dec  2 18:30:17 2024  commencing in-memory singleton removal
Mon Dec  2 18:30:18 2024  begin with 15615778 relations and 16587974 unique ideals
Mon Dec  2 18:30:21 2024  reduce to 15363765 relations and 14429980 ideals in 9 passes
Mon Dec  2 18:30:21 2024  max relations containing the same ideal: 64
Mon Dec  2 18:30:30 2024  removing 995830 relations and 854040 ideals in 141790 cliques
Mon Dec  2 18:30:31 2024  commencing in-memory singleton removal
Mon Dec  2 18:30:31 2024  begin with 14367935 relations and 14429980 unique ideals
Mon Dec  2 18:30:34 2024  reduce to 14318231 relations and 13525783 ideals in 8 passes
Mon Dec  2 18:30:34 2024  max relations containing the same ideal: 63
Mon Dec  2 18:30:43 2024  relations with 0 large ideals: 13033
Mon Dec  2 18:30:43 2024  relations with 1 large ideals: 152823
Mon Dec  2 18:30:43 2024  relations with 2 large ideals: 810531
Mon Dec  2 18:30:43 2024  relations with 3 large ideals: 2316299
Mon Dec  2 18:30:43 2024  relations with 4 large ideals: 3836190
Mon Dec  2 18:30:43 2024  relations with 5 large ideals: 3810827
Mon Dec  2 18:30:43 2024  relations with 6 large ideals: 2324753
Mon Dec  2 18:30:43 2024  relations with 7+ large ideals: 1053775
Mon Dec  2 18:30:43 2024  commencing 2-way merge
Mon Dec  2 18:30:54 2024  reduce to 7935291 relation sets and 7142843 unique ideals
Mon Dec  2 18:30:54 2024  commencing full merge
Mon Dec  2 18:32:39 2024  memory use: 711.8 MB
Mon Dec  2 18:32:40 2024  found 4139553 cycles, need 4031043
Mon Dec  2 18:32:42 2024  weight of 4031043 cycles is about 282398796 (70.06/cycle)
Mon Dec  2 18:32:42 2024  distribution of cycle lengths:
Mon Dec  2 18:32:42 2024  1 relations: 482731
Mon Dec  2 18:32:42 2024  2 relations: 476434
Mon Dec  2 18:32:42 2024  3 relations: 491478
Mon Dec  2 18:32:42 2024  4 relations: 448286
Mon Dec  2 18:32:42 2024  5 relations: 392192
Mon Dec  2 18:32:42 2024  6 relations: 351888
Mon Dec  2 18:32:42 2024  7 relations: 304694
Mon Dec  2 18:32:42 2024  8 relations: 259201
Mon Dec  2 18:32:42 2024  9 relations: 215691
Mon Dec  2 18:32:42 2024  10+ relations: 608448
Mon Dec  2 18:32:42 2024  heaviest cycle: 17 relations
Mon Dec  2 18:32:44 2024  commencing cycle optimization
Mon Dec  2 18:32:54 2024  start with 22017820 relations
Mon Dec  2 18:33:26 2024  pruned 354837 relations
Mon Dec  2 18:33:27 2024  memory use: 789.9 MB
Mon Dec  2 18:33:27 2024  distribution of cycle lengths:
Mon Dec  2 18:33:27 2024  1 relations: 482731
Mon Dec  2 18:33:27 2024  2 relations: 485429
Mon Dec  2 18:33:27 2024  3 relations: 504722
Mon Dec  2 18:33:27 2024  4 relations: 454639
Mon Dec  2 18:33:27 2024  5 relations: 398619
Mon Dec  2 18:33:27 2024  6 relations: 354737
Mon Dec  2 18:33:27 2024  7 relations: 305653
Mon Dec  2 18:33:27 2024  8 relations: 257799
Mon Dec  2 18:33:27 2024  9 relations: 214255
Mon Dec  2 18:33:27 2024  10+ relations: 572459
Mon Dec  2 18:33:27 2024  heaviest cycle: 17 relations
Mon Dec  2 18:33:34 2024  RelProcTime: 1369
Mon Dec  2 18:33:35 2024  elapsed time 00:22:51
Mon Dec  2 18:33:36 2024
Mon Dec  2 18:33:36 2024
Mon Dec  2 18:33:36 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Dec  2 18:33:36 2024  random seeds: 6ba82dc3 2fc7d493
Mon Dec  2 18:33:36 2024  factoring 2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449 (151 digits)
Mon Dec  2 18:33:36 2024  searching for 15-digit factors
Mon Dec  2 18:33:37 2024  commencing number field sieve (151-digit input)
Mon Dec  2 18:33:37 2024  R0: -90038582634987613803343160731
Mon Dec  2 18:33:37 2024  R1: 4132121360795009093447
Mon Dec  2 18:33:37 2024  A0: 45773807165804605790764884962844632
Mon Dec  2 18:33:37 2024  A1: -60667414694239788099057762602
Mon Dec  2 18:33:37 2024  A2: -1397068584609674301105179
Mon Dec  2 18:33:37 2024  A3: -160108700736366358
Mon Dec  2 18:33:37 2024  A4: 115609943352
Mon Dec  2 18:33:37 2024  A5: 1028160
Mon Dec  2 18:33:37 2024  skew 1.00, size 1.694e-14, alpha -7.585, combined = 8.820e-14 rroots = 3
Mon Dec  2 18:33:37 2024
Mon Dec  2 18:33:37 2024  commencing linear algebra
Mon Dec  2 18:33:37 2024  using VBITS=64
Mon Dec  2 18:33:38 2024  read 4031043 cycles
Mon Dec  2 18:33:47 2024  cycles contain 13630746 unique relations
Mon Dec  2 18:34:48 2024  read 13630746 relations
Mon Dec  2 18:35:06 2024  using 20 quadratic characters above 4294917295
Mon Dec  2 18:36:18 2024  building initial matrix
Mon Dec  2 18:38:07 2024  memory use: 1800.2 MB
Mon Dec  2 18:38:09 2024  read 4031043 cycles
Mon Dec  2 18:38:10 2024  matrix is 4030848 x 4031043 (1234.3 MB) with weight 390460630 (96.86/col)
Mon Dec  2 18:38:10 2024  sparse part has weight 275201674 (68.27/col)
Mon Dec  2 18:38:49 2024  filtering completed in 2 passes
Mon Dec  2 18:38:50 2024  matrix is 4015964 x 4016158 (1233.0 MB) with weight 389874511 (97.08/col)
Mon Dec  2 18:38:50 2024  sparse part has weight 275030409 (68.48/col)
Mon Dec  2 18:39:22 2024  matrix starts at (0, 0)
Mon Dec  2 18:39:23 2024  matrix is 4015964 x 4016158 (1233.0 MB) with weight 389874511 (97.08/col)
Mon Dec  2 18:39:23 2024  sparse part has weight 275030409 (68.48/col)
Mon Dec  2 18:39:23 2024  saving the first 48 matrix rows for later
Mon Dec  2 18:39:23 2024  matrix includes 64 packed rows
Mon Dec  2 18:39:24 2024  matrix is 4015916 x 4016158 (1191.6 MB) with weight 310234137 (77.25/col)
Mon Dec  2 18:39:24 2024  sparse part has weight 272207127 (67.78/col)
Mon Dec  2 18:39:24 2024  using block size 8192 and superblock size 2457600 for processor cache size 25600 kB
Mon Dec  2 18:39:35 2024  commencing Lanczos iteration (8 threads)
Mon Dec  2 18:39:35 2024  memory use: 1142.3 MB
Mon Dec  2 18:39:43 2024  checkpointing every 880000 dimensions
Mon Dec  2 18:40:03 2024  linear algebra at 0.2%, ETA 4h 7m
Mon Dec  2 19:44:37 2024  lanczos halted after 17288 iterations (dim = 1093191)
Mon Dec  2 19:44:37 2024  BLanczosTime: 4260
Mon Dec  2 19:44:37 2024  elapsed time 01:11:01
Mon Dec  2 19:44:37 2024
Mon Dec  2 19:44:37 2024
Mon Dec  2 19:44:37 2024  Msieve v. 1.54 (SVN Unversioned directory)
Mon Dec  2 19:44:37 2024  random seeds: 6c6a6c4a aaa6703b
Mon Dec  2 19:44:37 2024  factoring 2037602371981849417097629104581284146442507235650751616289235709526555657717776631995646827816838132032606574649050102926718656202341295891075088361449 (151 digits)
Mon Dec  2 19:44:37 2024  searching for 15-digit factors
Mon Dec  2 19:44:38 2024  commencing number field sieve (151-digit input)
Mon Dec  2 19:44:38 2024  R0: -90038582634987613803343160731
Mon Dec  2 19:44:38 2024  R1: 4132121360795009093447
Mon Dec  2 19:44:38 2024  A0: 45773807165804605790764884962844632
Mon Dec  2 19:44:38 2024  A1: -60667414694239788099057762602
Mon Dec  2 19:44:38 2024  A2: -1397068584609674301105179
Mon Dec  2 19:44:38 2024  A3: -160108700736366358
Mon Dec  2 19:44:38 2024  A4: 115609943352
Mon Dec  2 19:44:38 2024  A5: 1028160
Mon Dec  2 19:44:38 2024  skew 1.00, size 1.694e-14, alpha -7.585, combined = 8.820e-14 rroots = 3
Mon Dec  2 19:44:38 2024
Mon Dec  2 19:44:38 2024  commencing square root phase
Mon Dec  2 19:44:38 2024  reading relations for dependency 1
Mon Dec  2 19:44:38 2024  read 2007674 cycles
Mon Dec  2 19:44:41 2024  cycles contain 6816226 unique relations
Mon Dec  2 19:44:49 2024  read 6816226 relations
Mon Dec  2 19:45:19 2024  multiplying 6816226 relations
Mon Dec  2 19:48:55 2024  multiply complete, coefficients have about 363.56 million bits
Mon Dec  2 19:48:56 2024  initial square root is modulo 3337969
Mon Dec  2 19:51:21 2024  sqrtTime: 403
Mon Dec  2 19:51:21 2024  p71 factor: 54247954515736007074342049497206417556950841107974374866225825576104261
Mon Dec  2 19:51:21 2024  p80 factor: 37560906953473991716297042918375174239506825230346078972447426394632209630977109
Mon Dec  2 19:51:21 2024  elapsed time 00:06:44

CADO-NFS (poly + sieving) / Msieve (LA + SR)

16672386713841876828818207163050666707327331413435138617225853040713884227791108077403966413942238023172673524764173176581119845551851290580923760511243001794699394176540810100676001296803575677<194>

45748496223177440568974149565895005179532276544885567126796897900953496301228994261777269258122022641575113995157864859958467600546834350798551541910785869118788971264736081491268881560592767332671522317060831524736160436031<224>

2710178205456797298026428267828966320270977205400584248297286118221289902050723386604245047615572169848065783920734630868814243119209789406887224317393962532196643729578839620954571159404527291561226036194954465151831<217>

1950137909825944543691408656005482485319596349<46>

1389736690826490600296583547449699031289413310308888125388486533245500639399600031836988655804819831257006856323179333948089463820073342643611747436678356372291867997558819<172>

Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 15:41:17 2022 
Input number is 2710178205456797298026428267828966320270977205400584248297286118221289902050723386604245047615572169848065783920734630868814243119209789406887224317393962532196643729578839620954571159404527291561226036194954465151831 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2658835022
Step 1 took 0ms
Step 2 took 3836ms
********** Factor found in step 2: 1950137909825944543691408656005482485319596349
Found prime factor of 46 digits: 1950137909825944543691408656005482485319596349
Composite cofactor 1389736690826490600296583547449699031289413310308888125388486533245500639399600031836988655804819831257006856323179333948089463820073342643611747436678356372291867997558819 has 172 digits

11457890603479776781163878603752895120643775552345322665715977519470182198153812016123890646221920196048594913413629511758488112201110261571686924438501508818669729615235370835567618618802035779858519161199955090051071195334830873534767<236>

134826704186120012486754125392006820903<39>

84982353255945944744102542651911608245695988109003483158091765959647760304531653306016804130297236967825337618797677506367565994006230682571600767606592518562165508746032035436556125632297561384889<197>

Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 14:40:02 2022 
Input number is 11457890603479776781163878603752895120643775552345322665715977519470182198153812016123890646221920196048594913413629511758488112201110261571686924438501508818669729615235370835567618618802035779858519161199955090051071195334830873534767 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1361209354
Step 1 took 0ms
Step 2 took 4447ms
********** Factor found in step 2: 134826704186120012486754125392006820903
Found prime factor of 39 digits: 134826704186120012486754125392006820903
Composite cofactor 84982353255945944744102542651911608245695988109003483158091765959647760304531653306016804130297236967825337618797677506367565994006230682571600767606592518562165508746032035436556125632297561384889 has 197 digits

15652881843548252325622295063038022067910551461878330526878154024720454165650536782794749029768604574639503628902857735904678147778714597162597933140542591459746196104773447917228021593751434128632320316064128212140696937523849809<230>

995801555717742460564425773097002391311<39>
15718876671432941381738718888808223755490739947207193654952232338007636003163646318198524758803149289671963048312217761787010348654296374838587433884358457466117673927020503894304016656885919<191>

Resuming ECM residue saved by @7b48917c7e85 with GMP-ECM 7.0.5-dev on Mon Nov  7 08:56:26 2022 
Input number is 15652881843548252325622295063038022067910551461878330526878154024720454165650536782794749029768604574639503628902857735904678147778714597162597933140542591459746196104773447917228021593751434128632320316064128212140696937523849809 (230 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2878194529
Step 1 took 0ms
Step 2 took 18441ms
********** Factor found in step 2: 995801555717742460564425773097002391311
Found prime factor of 39 digits: 995801555717742460564425773097002391311
Prime cofactor 15718876671432941381738718888808223755490739947207193654952232338007636003163646318198524758803149289671963048312217761787010348654296374838587433884358457466117673927020503894304016656885919 has 191 digits

342566119946966128616395177008170235199925760621624484620468885212276150839622297074421925636408718344679907753776448057587792433258556784218401016086319338245206867062773636945109307072713573711869462342066849757640283998426143939552225417466152757199219900247067030959<270>

18832391713747645951035781544256120527306967984934086629001883239171374764595103578154425612052730696798493408662900188323917137476459510357812052730696798493408662900188323917137476459510357815442561205273069679849340866290018832391713747645951035781544256120527306967984934086629<281>

663990007149973035212049528531130515531063101<45>
28362462553587860480837196027738196094309824933976726465534868077285080843069230996288082027185477419424114575551800212501993843005417485301019900491813939112732415370448072829848544113247667625268268384367140619707506868434187922486729<236>

Resuming ECM residue saved by @1a589f80a68b with GMP-ECM 7.0.5-dev on Sat Aug 27 08:58:23 2022 
Input number is 18832391713747645951035781544256120527306967984934086629001883239171374764595103578154425612052730696798493408662900188323917137476459510357812052730696798493408662900188323917137476459510357815442561205273069679849340866290018832391713747645951035781544256120527306967984934086629 (281 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2250187279
Step 1 took 0ms
Step 2 took 17777ms
********** Factor found in step 2: 663990007149973035212049528531130515531063101
Found prime factor of 45 digits: 663990007149973035212049528531130515531063101
Prime cofactor 28362462553587860480837196027738196094309824933976726465534868077285080843069230996288082027185477419424114575551800212501993843005417485301019900491813939112732415370448072829848544113247667625268268384367140619707506868434187922486729 has 236 digits

66854090663710514748317159601954765355144327465832955775931010306446348559554154657470347184972923045987874126742095757486145192519378339340339705798492256830380072057955781719743550771982859080703444106261366713056503435756114814377816659<239>

429124592939951167519405244963442730454090527278790814859546844385707768044875861862417677475475888986526507131241990484481517843236545859585534278619714132159168253099496739034492124654487090511540078459991163146880465178781<225>

2276106229301826195038548113549918474171625616406911247538894140147226447231096206732726989382065527327732472966410770395954368918974717668883428667946568914649379693865633056565129455915382964953842131241725774873692553603299398447377268149<241>

1517386786869099409276204598084449690486536167<46>

1500017167012657879626270329279793645236017885204679879352210612137550135249152334697852130736876573802959360904983817692207535324873048136126121461578040861239782345421182962031361591926273554947<196>

Resuming ECM residue saved by @89fe656b90a6 with GMP-ECM 7.0.5-dev on Thu Aug 11 16:54:04 2022 
Input number is 2276106229301826195038548113549918474171625616406911247538894140147226447231096206732726989382065527327732472966410770395954368918974717668883428667946568914649379693865633056565129455915382964953842131241725774873692553603299398447377268149 (241 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:1865825762
Step 1 took 0ms
Step 2 took 20606ms
********** Factor found in step 2: 1517386786869099409276204598084449690486536167
Found prime factor of 46 digits: 1517386786869099409276204598084449690486536167
Composite cofactor 1500017167012657879626270329279793645236017885204679879352210612137550135249152334697852130736876573802959360904983817692207535324873048136126121461578040861239782345421182962031361591926273554947 has 196 digits

1764260981925797017122314973758644068750921825270905612615893947691693580837264611390374637228268158588732185646107891412282237576956405944845174701283320075663950756186964505015031720892940573734549198661349130582687140409661857819728686881579967491590327171<259>

3314582261064211123409160211308476963<37>
532272498604197170663352805807568161136898097185034698379560632308000955930644512948719805416386614970764194512650099457773875688595687241295090911351310316857799362842483130366231972684901727889979228038861516045075107617<222>

Resuming ECM residue saved by @2188b51b7a09 with GMP-ECM 7.0.5-dev on Fri Aug  5 00:52:20 2022 
Input number is 1764260981925797017122314973758644068750921825270905612615893947691693580837264611390374637228268158588732185646107891412282237576956405944845174701283320075663950756186964505015031720892940573734549198661349130582687140409661857819728686881579967491590327171 (259 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2400153142
Step 1 took 0ms
Step 2 took 36804ms
********** Factor found in step 2: 3314582261064211123409160211308476963
Found prime factor of 37 digits: 3314582261064211123409160211308476963
Prime cofactor 532272498604197170663352805807568161136898097185034698379560632308000955930644512948719805416386614970764194512650099457773875688595687241295090911351310316857799362842483130366231972684901727889979228038861516045075107617 has 222 digits

50709086202741791182519869804895519338839749424568642542221901607670381708357326208216917439848678332240024019641059545840321674477411526338981414108330362069513250022464762065889988757594218596380750394133182651313025502302144633380703417551262862872845497124827453<266>

7073086199701515762372596034827876447330263613922662875492463626654218034955191998924890897645369604119365402706162780005799930683755242925145528748431543135216188879693876829276918397804514043612649507359546190789427150748686174238405443447139290286530721949908403533713865370877274881348979<292>

63293208864045218251501701623318477044822460616100465062505016115344803355795314376498674681469915514057845975538947289227346253291232977474882289346249933862511588729638892266348921078355714910884248663793008682108290988323788228623687008525570331<248>

1589186197750875222559545994487242028598271628401500839510886574023019595745444561571782580239578179915812782545872052928525704364260374731690699234821273239627893963035751851021367637147497345762192202903673370457341765516030931913510247507071854890722234704578264407736953<274>

5032023220059786495354471741195477123941<40>

315814559721366662702301673447983084913052443841858633332807609809004860283368814303410649741362100324208149559231454310358519116175089453366473676540194837816043307721319165868530393634484151637532870869122182255135041461372477100933<234>

Resuming ECM residue saved by @2979057e70bc with GMP-ECM 7.0.5-dev on Sat May 21 07:57:11 2022 
Input number is 1589186197750875222559545994487242028598271628401500839510886574023019595745444561571782580239578179915812782545872052928525704364260374731690699234821273239627893963035751851021367637147497345762192202903673370457341765516030931913510247507071854890722234704578264407736953 (274 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1548251012
Step 1 took 0ms
Step 2 took 7224ms
********** Factor found in step 2: 5032023220059786495354471741195477123941
Found prime factor of 40 digits: 5032023220059786495354471741195477123941
Composite cofactor 315814559721366662702301673447983084913052443841858633332807609809004860283368814303410649741362100324208149559231454310358519116175089453366473676540194837816043307721319165868530393634484151637532870869122182255135041461372477100933 has 234 digits