95089522081579080981111955902302837190768395420232860955837038714984483189767011709<83>

16432084410424214043546185435518525721<38>
5786820448734795081257644123740616419813709829<46>

Sun May 29 19:57:47 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 19:57:47 2022  random seeds: 580e89d4 fd8c8f8a
Sun May 29 19:57:47 2022  factoring 95089522081579080981111955902302837190768395420232860955837038714984483189767011709 (83 digits)
Sun May 29 19:57:47 2022  searching for 15-digit factors
Sun May 29 19:57:47 2022  commencing quadratic sieve (83-digit input)
Sun May 29 19:57:47 2022  using multiplier of 1
Sun May 29 19:57:47 2022  using generic 32kb sieve core
Sun May 29 19:57:47 2022  sieve interval: 12 blocks of size 32768
Sun May 29 19:57:47 2022  processing polynomials in batches of 17
Sun May 29 19:57:47 2022  using a sieve bound of 1384247 (52877 primes)
Sun May 29 19:57:47 2022  using large prime bound of 121813736 (26 bits)
Sun May 29 19:57:47 2022  using trial factoring cutoff of 27 bits
Sun May 29 19:57:47 2022  polynomial 'A' values have 11 factors
Sun May 29 20:04:35 2022  53048 relations (26789 full + 26259 combined from 281987 partial), need 52973
Sun May 29 20:04:35 2022  begin with 308776 relations
Sun May 29 20:04:35 2022  reduce to 76048 relations in 2 passes
Sun May 29 20:04:35 2022  attempting to read 76048 relations
Sun May 29 20:04:35 2022  recovered 76048 relations
Sun May 29 20:04:35 2022  recovered 69250 polynomials
Sun May 29 20:04:35 2022  attempting to build 53048 cycles
Sun May 29 20:04:35 2022  found 53048 cycles in 1 passes
Sun May 29 20:04:35 2022  distribution of cycle lengths:
Sun May 29 20:04:35 2022     length 1 : 26789
Sun May 29 20:04:35 2022     length 2 : 26259
Sun May 29 20:04:35 2022  largest cycle: 2 relations
Sun May 29 20:04:35 2022  matrix is 52877 x 53048 (8.0 MB) with weight 1673826 (31.55/col)
Sun May 29 20:04:35 2022  sparse part has weight 1673826 (31.55/col)
Sun May 29 20:04:36 2022  filtering completed in 4 passes
Sun May 29 20:04:36 2022  matrix is 38287 x 38351 (6.3 MB) with weight 1343031 (35.02/col)
Sun May 29 20:04:36 2022  sparse part has weight 1343031 (35.02/col)
Sun May 29 20:04:36 2022  saving the first 48 matrix rows for later
Sun May 29 20:04:36 2022  matrix includes 64 packed rows
Sun May 29 20:04:36 2022  matrix is 38239 x 38351 (4.2 MB) with weight 1021738 (26.64/col)
Sun May 29 20:04:36 2022  sparse part has weight 726785 (18.95/col)
Sun May 29 20:04:36 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 20:04:36 2022  commencing Lanczos iteration
Sun May 29 20:04:36 2022  memory use: 2.5 MB
Sun May 29 20:04:37 2022  lanczos halted after 606 iterations (dim = 38237)
Sun May 29 20:04:37 2022  recovered 15 nontrivial dependencies
Sun May 29 20:04:37 2022  p38 factor: 16432084410424214043546185435518525721
Sun May 29 20:04:37 2022  p46 factor: 5786820448734795081257644123740616419813709829
Sun May 29 20:04:37 2022  elapsed time 00:06:50

Msieve 1.53

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

48347906036452045621202299740596943742274860735574468182748100005141884469501926893449989<89>

1249994658768813122830456488769279037<37>
38678490101767710802245176634281566315219651957448297<53>

Sun May 29 20:47:05 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 20:47:05 2022  random seeds: 9b384c6c f45ecf35
Sun May 29 20:47:05 2022  factoring 48347906036452045621202299740596943742274860735574468182748100005141884469501926893449989 (89 digits)
Sun May 29 20:47:06 2022  searching for 15-digit factors
Sun May 29 20:47:06 2022  commencing quadratic sieve (89-digit input)
Sun May 29 20:47:06 2022  using multiplier of 1
Sun May 29 20:47:06 2022  using generic 32kb sieve core
Sun May 29 20:47:06 2022  sieve interval: 32 blocks of size 32768
Sun May 29 20:47:06 2022  processing polynomials in batches of 7
Sun May 29 20:47:06 2022  using a sieve bound of 1556189 (58889 primes)
Sun May 29 20:47:06 2022  using large prime bound of 124495120 (26 bits)
Sun May 29 20:47:06 2022  using double large prime bound of 372626841652480 (42-49 bits)
Sun May 29 20:47:06 2022  using trial factoring cutoff of 49 bits
Sun May 29 20:47:06 2022  polynomial 'A' values have 11 factors
Sun May 29 20:59:12 2022  59370 relations (16491 full + 42879 combined from 620743 partial), need 58985
Sun May 29 20:59:12 2022  begin with 637234 relations
Sun May 29 20:59:12 2022  reduce to 142240 relations in 9 passes
Sun May 29 20:59:12 2022  attempting to read 142240 relations
Sun May 29 20:59:13 2022  recovered 142240 relations
Sun May 29 20:59:13 2022  recovered 112780 polynomials
Sun May 29 20:59:13 2022  attempting to build 59370 cycles
Sun May 29 20:59:13 2022  found 59370 cycles in 5 passes
Sun May 29 20:59:13 2022  distribution of cycle lengths:
Sun May 29 20:59:13 2022     length 1 : 16491
Sun May 29 20:59:13 2022     length 2 : 11850
Sun May 29 20:59:13 2022     length 3 : 10581
Sun May 29 20:59:13 2022     length 4 : 7773
Sun May 29 20:59:13 2022     length 5 : 5223
Sun May 29 20:59:13 2022     length 6 : 3307
Sun May 29 20:59:13 2022     length 7 : 1926
Sun May 29 20:59:13 2022     length 9+: 2219
Sun May 29 20:59:13 2022  largest cycle: 16 relations
Sun May 29 20:59:13 2022  matrix is 58889 x 59370 (15.0 MB) with weight 3453018 (58.16/col)
Sun May 29 20:59:13 2022  sparse part has weight 3453018 (58.16/col)
Sun May 29 20:59:13 2022  filtering completed in 3 passes
Sun May 29 20:59:13 2022  matrix is 54226 x 54290 (13.7 MB) with weight 3167778 (58.35/col)
Sun May 29 20:59:13 2022  sparse part has weight 3167778 (58.35/col)
Sun May 29 20:59:13 2022  saving the first 48 matrix rows for later
Sun May 29 20:59:13 2022  matrix includes 64 packed rows
Sun May 29 20:59:13 2022  matrix is 54178 x 54290 (9.9 MB) with weight 2570829 (47.35/col)
Sun May 29 20:59:13 2022  sparse part has weight 2045767 (37.68/col)
Sun May 29 20:59:13 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 20:59:13 2022  commencing Lanczos iteration
Sun May 29 20:59:13 2022  memory use: 6.0 MB
Sun May 29 20:59:16 2022  lanczos halted after 859 iterations (dim = 54172)
Sun May 29 20:59:16 2022  recovered 14 nontrivial dependencies
Sun May 29 20:59:16 2022  p37 factor: 1249994658768813122830456488769279037
Sun May 29 20:59:16 2022  p53 factor: 38678490101767710802245176634281566315219651957448297
Sun May 29 20:59:16 2022  elapsed time 00:12:11

Msieve 1.53

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

527777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779<123>

3052657091498667070936496571338566704649234577076430534688423<61>
172891275357322009773310212106992831855361413633326917467052373<63>

527777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779=3052657091498667070936496571338566704649234577076430534688423*172891275357322009773310212106992831855361413633326917467052373

cado polynomial
n: 527777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779
skew: 1.10
type: snfs
c0: 55
c4: 38
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 38*x^4+55
# g(x) = -x+5000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 830000
tasks.lim1 = 830000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 46
tasks.sieve.mfb1 = 46
tasks.sieve.lambda0 = 2.2
tasks.sieve.lambda1 = 2.2
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3052657091498667070936496571338566704649234577076430534688423 172891275357322009773310212106992831855361413633326917467052373
Info:Square Root: Total cpu/real time for sqrt: 9.08/7.73881
Info:Quadratic Characters: Total cpu/real time for characters: 2.22/1.89133
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 25.03/44.0626
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.8s
Info:Square Root: Total cpu/real time for sqrt: 9.08/7.73881
Info:Linear Algebra: Total cpu/real time for bwc: 110.2/104.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33.69, WCT time 35.49, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2240 iterations)
Info:Linear Algebra: Lingen CPU time 53.67, WCT time 45.21
Info:Linear Algebra: Mksol: CPU time 18.7,  WCT time 19.95, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1088 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 27.63/38.0622
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3304888
Info:Lattice Sieving: Average J: 1889.84 for 23028 special-q, max bucket fill -bkmult 1.0,1s:1.380060
Info:Lattice Sieving: Total time: 3958.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.46/13.9883
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.85/21.2533
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.1s
Info:Filtering - Merging: Merged matrix has 69464 rows and total weight 11832611 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 22.17/18.1623
Info:Filtering - Merging: Total cpu/real time for replay: 2.29/2.5334
Info:Generate Factor Base: Total cpu/real time for makefb: 0.44/0.545157
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3848.62/2403.53
Info:root: Cleaning up computation data in /tmp/cado.9kb8ez0l
3052657091498667070936496571338566704649234577076430534688423 172891275357322009773310212106992831855361413633326917467052373

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)

2602497640392661711502158138819085079333087985792559919140787507839702687751788897995842393156782436383425957<109>

10313894826667492437726815922157286372619655195849<50>
252329278524701704794159037891449936867479669663031859588093<60>

N=2602497640392661711502158138819085079333087985792559919140787507839702687751788897995842393156782436383425957
  ( 109 digits)
SNFS difficulty: 128 digits.
Divisors found:
p50 factor: 10313894826667492437726815922157286372619655195849
p60 factor: 252329278524701704794159037891449936867479669663031859588093
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.45 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2602497640392661711502158138819085079333087985792559919140787507839702687751788897995842393156782436383425957
m: 50000000000000000000000000000000
deg: 4
c4: 38
c0: 55
skew: 1.10
# Murphy_E = 1.733e-08
type: snfs
lss: 1
rlim: 970000
alim: 970000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 970000/970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [485000, 860001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 106281 x 106507
Total sieving time: 1.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,970000,970000,26,26,47,47,2.3,2.3,75000
total time: 1.45 hours.
 --------- CPU info (if available) ----------

13666345075571045140886653309604942905793384106443905973720542528456048609743332051<83>

7709799783645538832323501796505603929<37>
1772594030854194863081495282707586306890500619<46>

Sun May 29 19:45:32 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 19:45:32 2022  random seeds: 713ff5fc fedbf285
Sun May 29 19:45:32 2022  factoring 13666345075571045140886653309604942905793384106443905973720542528456048609743332051 (83 digits)
Sun May 29 19:45:33 2022  searching for 15-digit factors
Sun May 29 19:45:33 2022  commencing quadratic sieve (83-digit input)
Sun May 29 19:45:33 2022  using multiplier of 29
Sun May 29 19:45:33 2022  using generic 32kb sieve core
Sun May 29 19:45:33 2022  sieve interval: 12 blocks of size 32768
Sun May 29 19:45:33 2022  processing polynomials in batches of 17
Sun May 29 19:45:33 2022  using a sieve bound of 1352849 (52059 primes)
Sun May 29 19:45:33 2022  using large prime bound of 124462108 (26 bits)
Sun May 29 19:45:33 2022  using trial factoring cutoff of 27 bits
Sun May 29 19:45:33 2022  polynomial 'A' values have 11 factors
Sun May 29 19:52:07 2022  52185 relations (26755 full + 25430 combined from 278383 partial), need 52155
Sun May 29 19:52:07 2022  begin with 305138 relations
Sun May 29 19:52:07 2022  reduce to 74466 relations in 2 passes
Sun May 29 19:52:07 2022  attempting to read 74466 relations
Sun May 29 19:52:07 2022  recovered 74466 relations
Sun May 29 19:52:07 2022  recovered 67430 polynomials
Sun May 29 19:52:07 2022  attempting to build 52185 cycles
Sun May 29 19:52:07 2022  found 52185 cycles in 1 passes
Sun May 29 19:52:07 2022  distribution of cycle lengths:
Sun May 29 19:52:07 2022     length 1 : 26755
Sun May 29 19:52:07 2022     length 2 : 25430
Sun May 29 19:52:07 2022  largest cycle: 2 relations
Sun May 29 19:52:07 2022  matrix is 52059 x 52185 (8.1 MB) with weight 1709337 (32.76/col)
Sun May 29 19:52:07 2022  sparse part has weight 1709337 (32.76/col)
Sun May 29 19:52:07 2022  filtering completed in 3 passes
Sun May 29 19:52:07 2022  matrix is 37739 x 37803 (6.4 MB) with weight 1370028 (36.24/col)
Sun May 29 19:52:07 2022  sparse part has weight 1370028 (36.24/col)
Sun May 29 19:52:07 2022  saving the first 48 matrix rows for later
Sun May 29 19:52:07 2022  matrix includes 64 packed rows
Sun May 29 19:52:07 2022  matrix is 37691 x 37803 (4.3 MB) with weight 1029204 (27.23/col)
Sun May 29 19:52:07 2022  sparse part has weight 737991 (19.52/col)
Sun May 29 19:52:07 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 19:52:07 2022  commencing Lanczos iteration
Sun May 29 19:52:07 2022  memory use: 2.5 MB
Sun May 29 19:52:09 2022  lanczos halted after 598 iterations (dim = 37691)
Sun May 29 19:52:09 2022  recovered 19 nontrivial dependencies
Sun May 29 19:52:09 2022  p37 factor: 7709799783645538832323501796505603929
Sun May 29 19:52:09 2022  p46 factor: 1772594030854194863081495282707586306890500619
Sun May 29 19:52:09 2022  elapsed time 00:06:37

Msieve 1.53

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)

5090981927443762483096988850270583205120049489048621350390109316403360129458711176127040222219456265315497<106>

6724887330862696488591645892523235695392159476559<49>
757036018147038631278323157398921914896933821836334862983<57>

5090981927443762483096988850270583205120049489048621350390109316403360129458711176127040222219456265315497=6724887330862696488591645892523235695392159476559*757036018147038631278323157398921914896933821836334862983

cado polynomial
n: 5090981927443762483096988850270583205120049489048621350390109316403360129458711176127040222219456265315497
skew: 1.10
type: snfs
c0: 55
c4: 38
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 38*x^4+55
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1130000
tasks.lim1 = 1130000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 757036018147038631278323157398921914896933821836334862983 6724887330862696488591645892523235695392159476559
Info:Square Root: Total cpu/real time for sqrt: 24.94/19.1947
Info:Quadratic Characters: Total cpu/real time for characters: 3.37/2.94542
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 47.82/73.3281
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 67.7s
Info:Square Root: Total cpu/real time for sqrt: 24.94/19.1947
Info:Linear Algebra: Total cpu/real time for bwc: 234.83/221.23
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 79.83, WCT time 79.72, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (3264 iterations)
Info:Linear Algebra: Lingen CPU time 103.99, WCT time 89.18
Info:Linear Algebra: Mksol: CPU time 44.63,  WCT time 46.11, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (1664 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 54.04/76.4702
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6053823
Info:Lattice Sieving: Average J: 1891.46 for 56406 special-q, max bucket fill -bkmult 1.0,1s:1.365410
Info:Lattice Sieving: Total time: 10951s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.49/25.4093
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.54/37.7673
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.5s
Info:Filtering - Merging: Merged matrix has 103269 rows and total weight 17583038 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 26.78/21.8361
Info:Filtering - Merging: Total cpu/real time for replay: 3.33/3.75225
Info:Generate Factor Base: Total cpu/real time for makefb: 0.6/0.792499
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10612.8/6130.3
Info:root: Cleaning up computation data in /tmp/cado.918elvwk
757036018147038631278323157398921914896933821836334862983 6724887330862696488591645892523235695392159476559

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)

4685883482069529919467347240590700379537237760102404445121764377343202520932123602123956271714671047776569923665846911071<121>

1849291852139162368353235241024075932470929<43>
2533879915519634912283677337598083005711053369474147011433554121574284169557999<79>

4685883482069529919467347240590700379537237760102404445121764377343202520932123602123956271714671047776569923665846911071=1849291852139162368353235241024075932470929*2533879915519634912283677337598083005711053369474147011433554121574284169557999

cado polynomial
n: 4685883482069529919467347240590700379537237760102404445121764377343202520932123602123956271714671047776569923665846911071
skew: 1.23
type: snfs
c0: 44
c4: 19
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^4+44
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1170000
tasks.lim1 = 1170000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 47
tasks.sieve.mfb1 = 47
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: 1849291852139162368353235241024075932470929 2533879915519634912283677337598083005711053369474147011433554121574284169557999
Info:Square Root: Total cpu/real time for sqrt: 25.16/8.23768
Info:Filtering - Singleton removal: Total cpu/real time for purge: 53.52/45.8916
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6138686
Info:Lattice Sieving: Average J: 1891.61 for 67625 special-q, max bucket fill -bkmult 1.0,1s:1.375870
Info:Lattice Sieving: Total time: 11936.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.52/26.2675
Info:Linear Algebra: Total cpu/real time for bwc: 168.5/46.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 96.66, WCT time 26.36, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3456 iterations)
Info:Linear Algebra: Lingen CPU time 12.48, WCT time 3.21
Info:Linear Algebra: Mksol: CPU time 52.97,  WCT time 14.43, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1728 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.01/23.1609
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 23.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.35/46.1479
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.5s
Info:Filtering - Merging: Merged matrix has 109577 rows and total weight 18631087 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 21.7/6.05357
Info:Filtering - Merging: Total cpu/real time for replay: 3.29/2.72191
Info:Generate Factor Base: Total cpu/real time for makefb: 0.59/0.737368
Info:Quadratic Characters: Total cpu/real time for characters: 3.38/1.32144
Info:Square Root: Total cpu/real time for sqrt: 25.16/8.23768
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12132.8/6278.08
Info:root: Cleaning up computation data in /tmp/cado.0r2alyhr
1849291852139162368353235241024075932470929 2533879915519634912283677337598083005711053369474147011433554121574284169557999

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)

17592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<134>

182507533119378141714425940644371210419924334397620858447759<60>
96393788748902113640074896393786165100072488551107690282259777351521280927<74>

Number: n
N=17592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593  ( 134 digits)
SNFS difficulty: 134 digits.
Divisors found:

Mon May 30 15:41:00 2022  p60 factor: 182507533119378141714425940644371210419924334397620858447759
Mon May 30 15:41:00 2022  p74 factor: 96393788748902113640074896393786165100072488551107690282259777351521280927
Mon May 30 15:41:00 2022  elapsed time 00:02:20 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^134+44 = 21(133)6
#
n: 17592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593
m: 1000000000000000000000000000000000
deg: 4
c4: 475
c0: 11
skew: 0.39
# Murphy_E = 6.621e-09
type: snfs
lss: 1
rlim: 1230000
alim: 1230000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1230000/1230000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved  special-q in [100000, 6215000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 457331 hash collisions in 5803802 relations (5977120 unique)
Msieve: matrix is 213363 x 213588 (70.3 MB)

Sieving start time : 2022/05/30 15:20:21
Sieving end time  : 2022/05/30 15:31:28

Total sieving time: 0hrs 11min 7secs.

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

Prototype def-par.txt line would be:
snfs,134,4,0,0,0,0,0,0,0,0,1230000,1230000,26,26,47,47,2.3,2.3,100000
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)

186684729042256273158792892844378765840634341350952840264975283790692558851647416502169<87>

1473102979787428456142722663067693929<37>
126728905992163041009455262537475177526028747152561<51>

Sun May 29 22:31:37 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 22:31:37 2022  random seeds: 17b85730 3a689ab9
Sun May 29 22:31:37 2022  factoring 186684729042256273158792892844378765840634341350952840264975283790692558851647416502169 (87 digits)
Sun May 29 22:31:37 2022  searching for 15-digit factors
Sun May 29 22:31:37 2022  commencing quadratic sieve (87-digit input)
Sun May 29 22:31:37 2022  using multiplier of 5
Sun May 29 22:31:37 2022  using generic 32kb sieve core
Sun May 29 22:31:37 2022  sieve interval: 19 blocks of size 32768
Sun May 29 22:31:37 2022  processing polynomials in batches of 11
Sun May 29 22:31:37 2022  using a sieve bound of 1474873 (56333 primes)
Sun May 29 22:31:37 2022  using large prime bound of 117989840 (26 bits)
Sun May 29 22:31:37 2022  using double large prime bound of 338314156069440 (41-49 bits)
Sun May 29 22:31:37 2022  using trial factoring cutoff of 49 bits
Sun May 29 22:31:37 2022  polynomial 'A' values have 11 factors
Sun May 29 22:45:52 2022  56471 relations (15510 full + 40961 combined from 593503 partial), need 56429
Sun May 29 22:45:52 2022  begin with 609013 relations
Sun May 29 22:45:52 2022  reduce to 135850 relations in 9 passes
Sun May 29 22:45:52 2022  attempting to read 135850 relations
Sun May 29 22:45:52 2022  recovered 135850 relations
Sun May 29 22:45:52 2022  recovered 116197 polynomials
Sun May 29 22:45:52 2022  attempting to build 56471 cycles
Sun May 29 22:45:52 2022  found 56471 cycles in 5 passes
Sun May 29 22:45:52 2022  distribution of cycle lengths:
Sun May 29 22:45:52 2022     length 1 : 15510
Sun May 29 22:45:52 2022     length 2 : 11167
Sun May 29 22:45:52 2022     length 3 : 10106
Sun May 29 22:45:52 2022     length 4 : 7229
Sun May 29 22:45:52 2022     length 5 : 5206
Sun May 29 22:45:52 2022     length 6 : 3117
Sun May 29 22:45:52 2022     length 7 : 1953
Sun May 29 22:45:52 2022     length 9+: 2183
Sun May 29 22:45:52 2022  largest cycle: 20 relations
Sun May 29 22:45:52 2022  matrix is 56333 x 56471 (13.9 MB) with weight 3184398 (56.39/col)
Sun May 29 22:45:52 2022  sparse part has weight 3184398 (56.39/col)
Sun May 29 22:45:53 2022  filtering completed in 3 passes
Sun May 29 22:45:53 2022  matrix is 52143 x 52207 (12.9 MB) with weight 2976853 (57.02/col)
Sun May 29 22:45:53 2022  sparse part has weight 2976853 (57.02/col)
Sun May 29 22:45:53 2022  saving the first 48 matrix rows for later
Sun May 29 22:45:53 2022  matrix includes 64 packed rows
Sun May 29 22:45:53 2022  matrix is 52095 x 52207 (8.5 MB) with weight 2337374 (44.77/col)
Sun May 29 22:45:53 2022  sparse part has weight 1712395 (32.80/col)
Sun May 29 22:45:53 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 22:45:53 2022  commencing Lanczos iteration
Sun May 29 22:45:53 2022  memory use: 5.3 MB
Sun May 29 22:45:56 2022  lanczos halted after 826 iterations (dim = 52093)
Sun May 29 22:45:56 2022  recovered 16 nontrivial dependencies
Sun May 29 22:45:56 2022  p37 factor: 1473102979787428456142722663067693929
Sun May 29 22:45:56 2022  p51 factor: 126728905992163041009455262537475177526028747152561
Sun May 29 22:45:56 2022  elapsed time 00:14:19

Msieve 1.53

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

10727269512685687237143286436578474173663165519311785607680710777662233813149094189696733279678249587789<104>

11199649542978745117454282207237556915979307621<47>
957821891793998042689743928707273822890278773853984395209<57>

10727269512685687237143286436578474173663165519311785607680710777662233813149094189696733279678249587789=11199649542978745117454282207237556915979307621*957821891793998042689743928707273822890278773853984395209

cado polynomial
n: 10727269512685687237143286436578474173663165519311785607680710777662233813149094189696733279678249587789
skew: 1.23
type: snfs
c0: 44
c4: 19
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 19*x^4+44
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1360000
tasks.lim1 = 1360000
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: 11199649542978745117454282207237556915979307621 957821891793998042689743928707273822890278773853984395209
Info:Square Root: Total cpu/real time for sqrt: 20/10.6529
Info:Quadratic Characters: Total cpu/real time for characters: 4.54/2.46427
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.84/75.1361
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.5s
Info:Square Root: Total cpu/real time for sqrt: 20/10.6529
Info:Linear Algebra: Total cpu/real time for bwc: 396.89/379.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 158.97, WCT time 160.87, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4608 iterations)
Info:Linear Algebra: Lingen CPU time 138.54, WCT time 118.49
Info:Linear Algebra: Mksol: CPU time 86.83,  WCT time 88.63, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (2304 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 45.76/66.153
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6096699
Info:Lattice Sieving: Average J: 1890.76 for 82778 special-q, max bucket fill -bkmult 1.0,1s:1.328410
Info:Lattice Sieving: Total time: 14673.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.69/39.6908
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.48/25.1302
Info:Filtering - Merging: Merged matrix has 144355 rows and total weight 24623671 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 34.33/27.544
Info:Filtering - Merging: Total cpu/real time for replay: 4.73/5.4023
Info:Generate Factor Base: Total cpu/real time for makefb: 0.69/0.874414
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14102.1/8229.5
Info:root: Cleaning up computation data in /tmp/cado.pw5q1zph
11199649542978745117454282207237556915979307621 957821891793998042689743928707273822890278773853984395209

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)

39184357545764888410704806077477303241235542983306269402780680017932307907407978700219923945745600099617649113<110>

5559307481988666829485195851459067226913<40>
7048424227786717231327804742702823777994493610969922235497716518889401<70>

39184357545764888410704806077477303241235542983306269402780680017932307907407978700219923945745600099617649113=5559307481988666829485195851459067226913*7048424227786717231327804742702823777994493610969922235497716518889401

cado polynomial
n: 39184357545764888410704806077477303241235542983306269402780680017932307907407978700219923945745600099617649113
skew: 0.69
type: snfs
c0: 22
c4: 95
Y0: 10000000000000000000000000000000000
Y1: -1
# f(x) = 95*x^4+22
# g(x) = -x+10000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 1400000
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: 5559307481988666829485195851459067226913 7048424227786717231327804742702823777994493610969922235497716518889401
Info:Square Root: Total cpu/real time for sqrt: 22.72/18.9282
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.31/64.8784
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6102123
Info:Lattice Sieving: Average J: 1891.84 for 88267 special-q, max bucket fill -bkmult 1.0,1s:1.353980
Info:Lattice Sieving: Total time: 14884.9s
Info:Linear Algebra: Total cpu/real time for bwc: 390.39/394.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 170.45, WCT time 179.7, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Linear Algebra: Lingen CPU time 112.31, WCT time 98.84
Info:Linear Algebra: Mksol: CPU time 94.44,  WCT time 102.76, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2432 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.21/41.0629
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.72/76.935
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.0s
Info:Filtering - Merging: Merged matrix has 150398 rows and total weight 25620929 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 35.69/29.0316
Info:Filtering - Merging: Total cpu/real time for replay: 4.97/5.6138
Info:Generate Factor Base: Total cpu/real time for makefb: 0.71/0.395323
Info:Quadratic Characters: Total cpu/real time for characters: 4.81/3.94784
Info:Square Root: Total cpu/real time for sqrt: 22.72/18.9282
Info:Generate Free Relations: Total cpu/real time for freerel: 35.94/10.9185
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 14855.3/8345.14
Info:root: Cleaning up computation data in /tmp/cado.gq5kqn68
5559307481988666829485195851459067226913 7048424227786717231327804742702823777994493610969922235497716518889401

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)

7150936187689903201346913184466738247623260874946824424871072942203544779955576962207772737209790920448154184784687236672017<124>

35980982345287170786928404452189498991328998515513<50>
198742105456343684341039828394524105963316984194853963207060217923313894809<75>

Wed Jun  1 13:54:02 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 13:54:03 2022  random seeds: b7fd05e0 c148e544
Wed Jun  1 13:54:03 2022  factoring 7150936187689903201346913184466738247623260874946824424871072942203544779955576962207772737209790920448154184784687236672017 (124 digits)
Wed Jun  1 13:54:03 2022  searching for 15-digit factors
Wed Jun  1 13:54:04 2022  commencing number field sieve (124-digit input)
Wed Jun  1 13:54:04 2022  R0: -1000000000000000000000000000000000000
Wed Jun  1 13:54:04 2022  R1: 1
Wed Jun  1 13:54:04 2022  A0: 44
Wed Jun  1 13:54:04 2022  A1: 0
Wed Jun  1 13:54:04 2022  A2: 0
Wed Jun  1 13:54:04 2022  A3: 0
Wed Jun  1 13:54:04 2022  A4: 19
Wed Jun  1 13:54:04 2022  skew 1.23, size 3.334e-15, alpha 0.679, combined = 2.230e-09 rroots = 0
Wed Jun  1 13:54:04 2022  
Wed Jun  1 13:54:04 2022  commencing square root phase
Wed Jun  1 13:54:04 2022  reading relations for dependency 1
Wed Jun  1 13:54:04 2022  read 130488 cycles
Wed Jun  1 13:54:04 2022  cycles contain 420034 unique relations
Wed Jun  1 13:54:10 2022  read 420034 relations
Wed Jun  1 13:54:12 2022  multiplying 420034 relations
Wed Jun  1 13:54:19 2022  multiply complete, coefficients have about 10.72 million bits
Wed Jun  1 13:54:19 2022  initial square root is modulo 1441301
Wed Jun  1 13:54:30 2022  GCD is 1, no factor found
Wed Jun  1 13:54:30 2022  reading relations for dependency 2
Wed Jun  1 13:54:30 2022  read 130115 cycles
Wed Jun  1 13:54:30 2022  cycles contain 419120 unique relations
Wed Jun  1 13:54:36 2022  read 419120 relations
Wed Jun  1 13:54:38 2022  multiplying 419120 relations
Wed Jun  1 13:54:45 2022  multiply complete, coefficients have about 10.69 million bits
Wed Jun  1 13:54:45 2022  initial square root is modulo 1399261
Wed Jun  1 13:54:56 2022  GCD is N, no factor found
Wed Jun  1 13:54:56 2022  reading relations for dependency 3
Wed Jun  1 13:54:56 2022  read 129662 cycles
Wed Jun  1 13:54:56 2022  cycles contain 418324 unique relations
Wed Jun  1 13:55:02 2022  read 418324 relations
Wed Jun  1 13:55:04 2022  multiplying 418324 relations
Wed Jun  1 13:55:11 2022  multiply complete, coefficients have about 10.67 million bits
Wed Jun  1 13:55:11 2022  initial square root is modulo 1361929
Wed Jun  1 13:55:22 2022  sqrtTime: 78
Wed Jun  1 13:55:22 2022  p50 factor: 35980982345287170786928404452189498991328998515513
Wed Jun  1 13:55:22 2022  p75 factor: 198742105456343684341039828394524105963316984194853963207060217923313894809
Wed Jun  1 13:55:22 2022  elapsed time 00:01:19

37622224101465189249715704922026695045526917823137483386416785682958584051065012745090671<89>

2069067168909650940185512784776097480737<40>
18183181612847882664785824740275238057760313533583<50>

Sun May 29 22:32:59 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 22:32:59 2022  random seeds: 4f922034 477230be
Sun May 29 22:32:59 2022  factoring 37622224101465189249715704922026695045526917823137483386416785682958584051065012745090671 (89 digits)
Sun May 29 22:32:59 2022  searching for 15-digit factors
Sun May 29 22:33:00 2022  commencing quadratic sieve (89-digit input)
Sun May 29 22:33:00 2022  using multiplier of 6
Sun May 29 22:33:00 2022  using generic 32kb sieve core
Sun May 29 22:33:00 2022  sieve interval: 32 blocks of size 32768
Sun May 29 22:33:00 2022  processing polynomials in batches of 7
Sun May 29 22:33:00 2022  using a sieve bound of 1556173 (58946 primes)
Sun May 29 22:33:00 2022  using large prime bound of 124493840 (26 bits)
Sun May 29 22:33:00 2022  using double large prime bound of 372619898133360 (42-49 bits)
Sun May 29 22:33:00 2022  using trial factoring cutoff of 49 bits
Sun May 29 22:33:00 2022  polynomial 'A' values have 11 factors
Sun May 29 22:52:14 2022  59334 relations (16054 full + 43280 combined from 628267 partial), need 59042
Sun May 29 22:52:14 2022  begin with 644321 relations
Sun May 29 22:52:14 2022  reduce to 143814 relations in 9 passes
Sun May 29 22:52:14 2022  attempting to read 143814 relations
Sun May 29 22:52:14 2022  recovered 143814 relations
Sun May 29 22:52:14 2022  recovered 122618 polynomials
Sun May 29 22:52:14 2022  attempting to build 59334 cycles
Sun May 29 22:52:14 2022  found 59334 cycles in 5 passes
Sun May 29 22:52:14 2022  distribution of cycle lengths:
Sun May 29 22:52:14 2022     length 1 : 16054
Sun May 29 22:52:14 2022     length 2 : 11534
Sun May 29 22:52:14 2022     length 3 : 10430
Sun May 29 22:52:14 2022     length 4 : 7898
Sun May 29 22:52:14 2022     length 5 : 5430
Sun May 29 22:52:14 2022     length 6 : 3501
Sun May 29 22:52:14 2022     length 7 : 2065
Sun May 29 22:52:14 2022     length 9+: 2422
Sun May 29 22:52:14 2022  largest cycle: 20 relations
Sun May 29 22:52:14 2022  matrix is 58946 x 59334 (15.6 MB) with weight 3623630 (61.07/col)
Sun May 29 22:52:14 2022  sparse part has weight 3623630 (61.07/col)
Sun May 29 22:52:15 2022  filtering completed in 4 passes
Sun May 29 22:52:15 2022  matrix is 54869 x 54933 (14.5 MB) with weight 3372186 (61.39/col)
Sun May 29 22:52:15 2022  sparse part has weight 3372186 (61.39/col)
Sun May 29 22:52:15 2022  saving the first 48 matrix rows for later
Sun May 29 22:52:15 2022  matrix includes 64 packed rows
Sun May 29 22:52:15 2022  matrix is 54821 x 54933 (10.8 MB) with weight 2766551 (50.36/col)
Sun May 29 22:52:15 2022  sparse part has weight 2276214 (41.44/col)
Sun May 29 22:52:15 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 22:52:15 2022  commencing Lanczos iteration
Sun May 29 22:52:15 2022  memory use: 6.5 MB
Sun May 29 22:52:18 2022  lanczos halted after 869 iterations (dim = 54819)
Sun May 29 22:52:19 2022  recovered 17 nontrivial dependencies
Sun May 29 22:52:19 2022  p40 factor: 2069067168909650940185512784776097480737
Sun May 29 22:52:19 2022  p50 factor: 18183181612847882664785824740275238057760313533583
Sun May 29 22:52:19 2022  elapsed time 00:19:20

Msieve 1.53

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

229513777336042339258782831945935308626284662983172050786646186070815277367261395533080995820595338707729916083612550262325561341<129>

109468652786571852766532114428328443265838545050123890765069827<63>
2096616442183857893759858935451511705140351329548366061239206429183<67>

Fri Jun  3 14:47:55 2022  Msieve v. 1.53 (SVN unknown)
Fri Jun  3 14:47:55 2022  random seeds: 6ff96200 77a36e93
Fri Jun  3 14:47:55 2022  factoring 229513777336042339258782831945935308626284662983172050786646186070815277367261395533080995820595338707729916083612550262325561341 (129 digits)
Fri Jun  3 14:47:56 2022  searching for 15-digit factors
Fri Jun  3 14:47:56 2022  commencing number field sieve (129-digit input)
Fri Jun  3 14:47:56 2022  R0: -10000000000000000000000000000000000000
Fri Jun  3 14:47:56 2022  R1: 1
Fri Jun  3 14:47:56 2022  A0: 22
Fri Jun  3 14:47:56 2022  A1: 0
Fri Jun  3 14:47:56 2022  A2: 0
Fri Jun  3 14:47:56 2022  A3: 0
Fri Jun  3 14:47:56 2022  A4: 95
Fri Jun  3 14:47:56 2022  skew 0.69, size 1.198e-15, alpha 0.190, combined = 1.323e-09 rroots = 0
Fri Jun  3 14:47:56 2022  
Fri Jun  3 14:47:56 2022  commencing square root phase
Fri Jun  3 14:47:56 2022  reading relations for dependency 1
Fri Jun  3 14:47:56 2022  read 145493 cycles
Fri Jun  3 14:47:56 2022  cycles contain 428294 unique relations
Fri Jun  3 14:48:00 2022  read 428294 relations
Fri Jun  3 14:48:01 2022  multiplying 428294 relations
Fri Jun  3 14:48:05 2022  multiply complete, coefficients have about 11.85 million bits
Fri Jun  3 14:48:05 2022  initial square root is modulo 6433981
Fri Jun  3 14:48:10 2022  GCD is N, no factor found
Fri Jun  3 14:48:10 2022  reading relations for dependency 2
Fri Jun  3 14:48:10 2022  read 145604 cycles
Fri Jun  3 14:48:10 2022  cycles contain 429274 unique relations
Fri Jun  3 14:48:13 2022  read 429274 relations
Fri Jun  3 14:48:14 2022  multiplying 429274 relations
Fri Jun  3 14:48:18 2022  multiply complete, coefficients have about 11.88 million bits
Fri Jun  3 14:48:18 2022  initial square root is modulo 6677813
Fri Jun  3 14:48:23 2022  sqrtTime: 27
Fri Jun  3 14:48:23 2022  p63 factor: 109468652786571852766532114428328443265838545050123890765069827
Fri Jun  3 14:48:23 2022  p67 factor: 2096616442183857893759858935451511705140351329548366061239206429183
Fri Jun  3 14:48:23 2022  elapsed time 00:00:28
Fri Jun 03 14:48:23 2022 -> Computing time scale for this machine...
Fri Jun 03 14:48:23 2022 -> procrels -speedtest> PIPE

33886213281100595393510356905676492256308334542713535615488837623230403104632794094815136921664140501352407561004965667<119>

56615698215676435702840494160096371629216677463<47>
598530343156975726439261151411760881581352063477228127798697043827199509<72>

33886213281100595393510356905676492256308334542713535615488837623230403104632794094815136921664140501352407561004965667=56615698215676435702840494160096371629216677463*598530343156975726439261151411760881581352063477228127798697043827199509

cado polynomial
n: 33886213281100595393510356905676492256308334542713535615488837623230403104632794094815136921664140501352407561004965667
skew: 1.10
type: snfs
c0: 55
c4: 38
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 38*x^4+55
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 598530343156975726439261151411760881581352063477228127798697043827199509 56615698215676435702840494160096371629216677463
Info:Square Root: Total cpu/real time for sqrt: 49.91/41.3253
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.13/118.229
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11649881
Info:Lattice Sieving: Average J: 1892.2 for 312169 special-q, max bucket fill -bkmult 1.0,1s:1.299930
Info:Lattice Sieving: Total time: 66819s
Info:Linear Algebra: Total cpu/real time for bwc: 1707.15/1596.57
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 878.42, WCT time 825.96, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 322.02, WCT time 286.55
Info:Linear Algebra: Mksol: CPU time 477.16,  WCT time 457.19, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 71.55/20.4682
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46/78.4225
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 78.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.71/155.718
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.39999999999998s
Info:Filtering - Merging: Merged matrix has 311866 rows and total weight 53290783 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.79/53.2145
Info:Filtering - Merging: Total cpu/real time for replay: 10.88/11.7484
Info:Generate Factor Base: Total cpu/real time for makefb: 1.23/0.67806
Info:Quadratic Characters: Total cpu/real time for characters: 10.01/8.62161
Info:Square Root: Total cpu/real time for sqrt: 49.91/41.3253
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58944.1/35818.1
Info:root: Cleaning up computation data in /tmp/cado.kyex0ov5
598530343156975726439261151411760881581352063477228127798697043827199509 56615698215676435702840494160096371629216677463

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)

1564683202242660749545877056325763006889002832933176344047521599789085957481909082118524086248963348763066275438744075743<121>

7145820216959373613082247115052981332428835128704203629293<58>
218964815057780860881654149318842591277700321215433773622742651<63>

1564683202242660749545877056325763006889002832933176344047521599789085957481909082118524086248963348763066275438744075743= 7145820216959373613082247115052981332428835128704203629293*218964815057780860881654149318842591277700321215433773622742651

cado polynomial
n: 1564683202242660749545877056325763006889002832933176344047521599789085957481909082118524086248963348763066275438744075743
skew: 0.30
type: snfs
c0: 11
c5: 4750
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 4750*x^5+11
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
ttasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
asks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 218964815057780860881654149318842591277700321215433773622742651 7145820216959373613082247115052981332428835128704203629293
Info:Square Root: Total cpu/real time for sqrt: 68.37/52.1945
Info:Quadratic Characters: Total cpu/real time for characters: 10.7/8.62179
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.27/160.134
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.2s
Info:Square Root: Total cpu/real time for sqrt: 68.37/52.1945
Info:Linear Algebra: Total cpu/real time for bwc: 1810.07/1558.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 941.69, WCT time 791.62, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (10624 iterations)
Info:Linear Algebra: Lingen CPU time 320.51, WCT time 271.95
Info:Linear Algebra: Mksol: CPU time 516.94,  WCT time 466.89, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.02/124.727
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11664783
Info:Lattice Sieving: Average J: 1894.14 for 257969 special-q, max bucket fill -bkmult 1.0,1s:1.226890
Info:Lattice Sieving: Total time: 60193.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 60.53/40.2824
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.08/77.6392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.4s
Info:Filtering - Merging: Merged matrix has 338454 rows and total weight 57701893 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 74.28/55.2164
Info:Filtering - Merging: Total cpu/real time for replay: 11.87/13.2503
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/1.76268
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58962.3/32440.3
Info:root: Cleaning up computation data in /tmp/cado.phboghgo
218964815057780860881654149318842591277700321215433773622742651 7145820216959373613082247115052981332428835128704203629293

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)

209850178283153879411404368276102606339335055543155035165944166215870216560556987708252343557608702799673543997231586513261052634569<132>

1369908853275962788322082821483324651091984078036597779<55>
153185504116805923411903601020200809347525273308503731217034891723093897321011<78>

209850178283153879411404368276102606339335055543155035165944166215870216560556987708252343557608702799673543997231586513261052634569=1369908853275962788322082821483324651091984078036597779*153185504116805923411903601020200809347525273308503731217034891723093897321011

cado polynomial
n: 209850178283153879411404368276102606339335055543155035165944166215870216560556987708252343557608702799673543997231586513261052634569
skew: 0.75
type: snfs
c0: 22
c5: 95
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 95*x^5+22
# g(x) = -x+100000000000000000000000000000000

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: 1369908853275962788322082821483324651091984078036597779 153185504116805923411903601020200809347525273308503731217034891723093897321011
Info:Square Root: Total cpu/real time for sqrt: 94.59/71.5728
Info:Quadratic Characters: Total cpu/real time for characters: 16.06/12.7996
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.95/118.615
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 105.4s
Info:Square Root: Total cpu/real time for sqrt: 94.59/71.5728
Info:Linear Algebra: Total cpu/real time for bwc: 3864.3/3154.74
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2122.29, WCT time 1712.23, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (15104 iterations)
Info:Linear Algebra: Lingen CPU time 538.62, WCT time 461.0
Info:Linear Algebra: Mksol: CPU time 1157.16,  WCT time 941.75, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7552 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 66.56/80.1536
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11620941
Info:Lattice Sieving: Average J: 1893.56 for 320854 special-q, max bucket fill -bkmult 1.0,1s:1.233050
Info:Lattice Sieving: Total time: 73825.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 59.66/24.9075
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.91/58.8946
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 58.7s
Info:Filtering - Merging: Merged matrix has 482163 rows and total weight 82294208 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 106.08/77.9297
Info:Filtering - Merging: Total cpu/real time for replay: 17.97/19.6899
Info:Generate Factor Base: Total cpu/real time for makefb: 1.51/1.26819
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 73897.1/40779.9
Info:root: Cleaning up computation data in /tmp/cado.0ul97eq1
1369908853275962788322082821483324651091984078036597779 153185504116805923411903601020200809347525273308503731217034891723093897321011

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)

3470419339695099989684085653905836271368501945498386756055654599562904985748420233340933311635729663048485223948685021815869986123763312941726628469<148>

226486797284098767007169232253026899906103346549<48>
15322832859620960895167914042638346980214089492181395282019752569292161899849517360732642066174542081<101>

Number: n
N=3470419339695099989684085653905836271368501945498386756055654599562904985748420233340933311635729663048485223948685021815869986123763312941726628469  ( 148 digits)
SNFS difficulty: 162 digits.
Divisors found:

Wed Jun  1 07:35:24 2022  p48 factor: 226486797284098767007169232253026899906103346549
Wed Jun  1 07:35:24 2022  p101 factor: 15322832859620960895167914042638346980214089492181395282019752569292161899849517360732642066174542081
Wed Jun  1 07:35:24 2022  elapsed time 00:07:01 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 19x10^162+44 = 21(161)6
#
n: 3470419339695099989684085653905836271368501945498386756055654599562904985748420233340933311635729663048485223948685021815869986123763312941726628469
m: 100000000000000000000000000000000
deg: 5
c5: 475
c0: 11
skew: 0.47
# Murphy_E = 5.141e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1123954 hash collisions in 12714007 relations (12404337 unique)
Msieve: matrix is 447189 x 447416 (155.0 MB)

Sieving start time : 2022/06/01 07:07:26
Sieving end time  : 2022/06/01 07:28:08

Total sieving time: 0hrs 20min 42secs.

Total relation processing time: 0hrs 3min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)

91893311895842463538431447754733662934716764509151574645971294576166349041786939776994510140714255218142853694025145418892924823801393890762767632088708843<155>

4442180053417815756283627108307536179512891<43>
73333909679738758106709804825078303421451116676893681<53>
282086892785519224336405632291446399066190158528196571782433<60>

Number: n
N=91893311895842463538431447754733662934716764509151574645971294576166349041786939776994510140714255218142853694025145418892924823801393890762767632088708843  ( 155 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Jun  1 05:11:02 2022  found factor: 73333909679738758106709804825078303421451116676893681
Wed Jun  1 05:11:37 2022  found factor: 73333909679738758106709804825078303421451116676893681
Wed Jun  1 05:12:46 2022  p43 factor: 4442180053417815756283627108307536179512891
Wed Jun  1 05:12:46 2022  p53 factor: 73333909679738758106709804825078303421451116676893681
Wed Jun  1 05:12:46 2022  p60 factor: 282086892785519224336405632291446399066190158528196571782433
Wed Jun  1 05:12:46 2022  elapsed time 00:09:26 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 19x10^163+44 = 21(162)6
#
n: 91893311895842463538431447754733662934716764509151574645971294576166349041786939776994510140714255218142853694025145418892924823801393890762767632088708843
m: 100000000000000000000000000000000
deg: 5
c5: 4750
c0: 11
skew: 0.30
# Murphy_E = 3.887e-10
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1188607 hash collisions in 12364810 relations (11943374 unique)
Msieve: matrix is 510442 x 510668 (176.2 MB)

Sieving start time : 2022/06/01 04:34:01
Sieving end time  : 2022/06/01 05:03:06

Total sieving time: 0hrs 29min 5secs.

Total relation processing time: 0hrs 4min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 19sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)

111146443980671282402990798712385995922446457248046805990489140290445547485153759990602860652076297470938714786759112428956947951407242676677802370390961711571<159>

62756696927263192879879980192288756563123223706078609<53>
1771069055936662675555867544277117133421378189719336454047052885657245356873952144810049024973226421002019<106>

Number: n
N=111146443980671282402990798712385995922446457248046805990489140290445547485153759990602860652076297470938714786759112428956947951407242676677802370390961711571  ( 159 digits)
SNFS difficulty: 165 digits.
Divisors found:

Wed Jun  1 04:31:28 2022  p53 factor: 62756696927263192879879980192288756563123223706078609
Wed Jun  1 04:31:28 2022  p106 factor: 1771069055936662675555867544277117133421378189719336454047052885657245356873952144810049024973226421002019
Wed Jun  1 04:31:28 2022  elapsed time 00:09:25 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 19x10^164+44 = 21(163)6
#
n: 111146443980671282402990798712385995922446457248046805990489140290445547485153759990602860652076297470938714786759112428956947951407242676677802370390961711571
m: 500000000000000000000000000000000
deg: 5
c5: 76
c0: 55
skew: 0.94
# Murphy_E = 3.169e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1328200 hash collisions in 12394795 relations (11801961 unique)
Msieve: matrix is 567465 x 567691 (195.9 MB)

Sieving start time : 2022/06/01 03:42:11
Sieving end time  : 2022/06/01 04:21:48

Total sieving time: 0hrs 39min 37secs.

Total relation processing time: 0hrs 4min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 41sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
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)

43835836913336919566222706539005635258335661246988362646588192212854273158910999685027976031118091622067163331313193396421869819007827973041052584270243597130017<161>

11369362556218738956822979423813530577199362689837628678682281<62>
3855610787023401110787286348238170486730010375537980864954926163469652943221466529216211260141040057<100>

Number: n
N=43835836913336919566222706539005635258335661246988362646588192212854273158910999685027976031118091622067163331313193396421869819007827973041052584270243597130017  ( 161 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Jun  4 18:55:58 2022  p62 factor: 11369362556218738956822979423813530577199362689837628678682281
Sat Jun  4 18:55:58 2022  p100 factor: 3855610787023401110787286348238170486730010375537980864954926163469652943221466529216211260141040057
Sat Jun  4 18:55:58 2022  elapsed time 00:09:16 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 19x10^167+44 = 21(166)6
#
n: 43835836913336919566222706539005635258335661246988362646588192212854273158910999685027976031118091622067163331313193396421869819007827973041052584270243597130017
m: 1000000000000000000000000000000000
deg: 5
c5: 475
c0: 11
skew: 0.47
# Murphy_E = 3.275e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1275787 hash collisions in 12622727 relations (12118016 unique)
Msieve: matrix is 552167 x 552393 (191.2 MB)

Sieving start time : 2022/06/04 18:09:40
Sieving end time  : 2022/06/04 18:46:26

Total sieving time: 0hrs 36min 46secs.

Total relation processing time: 0hrs 4min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
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)

815730722995019749270135668899192855916194401511248497338141851279409239223767817276318049115576163489610166580800274772454061480336596256225313412330413876008930104757<168>

9390273087118017549750012117472672486860421028981<49>
86869755056865642104721534523051323087581057492321042702849682914380496248849878949849196928048945773557030440088005697<119>

Number: n
N=815730722995019749270135668899192855916194401511248497338141851279409239223767817276318049115576163489610166580800274772454061480336596256225313412330413876008930104757  ( 168 digits)
SNFS difficulty: 171 digits.
Divisors found:

Fri Jun  3 09:25:20 2022  p49 factor: 9390273087118017549750012117472672486860421028981
Fri Jun  3 09:25:20 2022  p119 factor: 86869755056865642104721534523051323087581057492321042702849682914380496248849878949849196928048945773557030440088005697
Fri Jun  3 09:25:20 2022  elapsed time 00:13:58 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 19x10^171+44 = 21(170)6
#
n: 815730722995019749270135668899192855916194401511248497338141851279409239223767817276318049115576163489610166580800274772454061480336596256225313412330413876008930104757
m: 10000000000000000000000000000000000
deg: 5
c5: 95
c0: 22
skew: 0.75
# Murphy_E = 1.711e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1618104 hash collisions in 12987822 relations (12087123 unique)
Msieve: matrix is 788667 x 788894 (273.6 MB)

Sieving start time : 2022/06/03 08:07:13
Sieving end time  : 2022/06/03 09:06:25

Total sieving time: 0hrs 59min 12secs.

Total relation processing time: 0hrs 9min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 46sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] 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)

759023840359442187128106171536487864418276727436027682378614830389320977966385794427187415773525312801<102>

235732229989550594912254840775494327253<39>
3219856022204039587748913049238902214017485277074440055617791517<64>

759023840359442187128106171536487864418276727436027682378614830389320977966385794427187415773525312801=235732229989550594912254840775494327253*3219856022204039587748913049238902214017485277074440055617791517

cado polynomial
n: 759023840359442187128106171536487864418276727436027682378614830389320977966385794427187415773525312801
skew: 93378.185
c0: 31148815835875802137320000
c1: -918161573711224782002
c2: 6001694591466263
c3: 127801079164
c4: 602880
Y0: -1059268022046394182813503
Y1: 12581166225407
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.035e-06
# f(x) = 602880*x^4+127801079164*x^3+6001694591466263*x^2-918161573711224782002*x+31148815835875802137320000
# g(x) = 12581166225407*x-1059268022046394182813503

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 235732229989550594912254840775494327253 3219856022204039587748913049238902214017485277074440055617791517
Info:Square Root: Total cpu/real time for sqrt: 97.4/71.4677
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5799/33.290/38.901/39.720/0.693
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3371/33.050/37.383/39.680/0.996
Info:Polynomial Selection (size optimized): Total time: 105.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 30.79/44.5998
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 31.3s
Info:Quadratic Characters: Total cpu/real time for characters: 7.46/6.19454
Info:Square Root: Total cpu/real time for sqrt: 97.4/71.4677
Info:Linear Algebra: Total cpu/real time for bwc: 893.04/818.34
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 396.73, WCT time 372.78, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7040 iterations)
Info:Linear Algebra: Lingen CPU time 264.2, WCT time 226.85
Info:Linear Algebra: Mksol: CPU time 212.59,  WCT time 201.31, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3456 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 20.96/33.2365
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2505490
Info:Lattice Sieving: Average J: 959.15 for 136423 special-q, max bucket fill -bkmult 1.0,1s:1.363940
Info:Lattice Sieving: Total time: 9453.2s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.77/0.669931
Info:Generate Free Relations: Total cpu/real time for freerel: 24.09/16.0131
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.73/12.834
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 12.200000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 63.37
Info:Polynomial Selection (root optimized): Rootsieve time: 62.99
Info:Filtering - Merging: Merged matrix has 220974 rows and total weight 37667433 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.67/38.7136
Info:Filtering - Merging: Total cpu/real time for replay: 8.19/8.73951
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 9527/5880.33
Info:root: Cleaning up computation data in /tmp/cado.ut6p6ehs
235732229989550594912254840775494327253 3219856022204039587748913049238902214017485277074440055617791517

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)

129206518403473424271789557716796915378539954123294331116867943954651493698243808833801487583268972614931990291861915921426319602849<132>

818142616719457232452395898729752046142396879<45>
157926644771981853948122481772856842389379921128522587616910441471570714832526296012431<87>

Number: n
N=129206518403473424271789557716796915378539954123294331116867943954651493698243808833801487583268972614931990291861915921426319602849  ( 132 digits)
SNFS difficulty: 173 digits.
Divisors found:

Mon Jun  6 23:22:27 2022  p45 factor: 818142616719457232452395898729752046142396879
Mon Jun  6 23:22:27 2022  p87 factor: 157926644771981853948122481772856842389379921128522587616910441471570714832526296012431
Mon Jun  6 23:22:27 2022  elapsed time 00:19:30 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^173+44 = 21(172)6
#
n: 129206518403473424271789557716796915378539954123294331116867943954651493698243808833801487583268972614931990291861915921426319602849
m: 10000000000000000000000000000000000
deg: 5
c5: 4750
c0: 11
skew: 0.30
# Murphy_E = 1.569e-10
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, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1162638 hash collisions in 11308800 relations (10825408 unique)
Msieve: matrix is 896781 x 897005 (314.5 MB)

Sieving start time : 2022/06/06 21:35:03
Sieving end time  : 2022/06/06 22:49:54

Total sieving time: 1hrs 14min 51secs.

Total relation processing time: 0hrs 12min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 55sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
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)

22564196396482175299970889938383828622658438830355696773450674379909573641507493034591913318117653126036640347251543<116>

691770072337766027585033944263045223279847359713269<51>
32618058078501122834434561071458567331011897809199684364433429147<65>

22564196396482175299970889938383828622658438830355696773450674379909573641507493034591913318117653126036640347251543=691770072337766027585033944263045223279847359713269*32618058078501122834434561071458567331011897809199684364433429147

cado polynomial
n: 22564196396482175299970889938383828622658438830355696773450674379909573641507493034591913318117653126036640347251543
skew: 39785.337
c0: 1458212774095590473159347810
c1: 8017511728443788983699
c2: -3305438953214715030
c3: -4601022323149
c4: 548633930
c5: 14880
Y0: -19773199877153860941072
Y1: 1810058432392111
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.456e-07
# f(x) = 14880*x^5+548633930*x^4-4601022323149*x^3-3305438953214715030*x^2+8017511728443788983699*x+1458212774095590473159347810
# g(x) = 1810058432392111*x-19773199877153860941072

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

cado log (extracts)
Info:Square Root: Factors: 32618058078501122834434561071458567331011897809199684364433429147 691770072337766027585033944263045223279847359713269
Info:Square Root: Total cpu/real time for sqrt: 281.29/119.582
Info:Filtering - Singleton removal: Total cpu/real time for purge: 98.45/161.4
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7621252
Info:Lattice Sieving: Average J: 1903.94 for 195216 special-q, max bucket fill -bkmult 1.0,1s:1.322110
Info:Lattice Sieving: Total time: 43904.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/3.39289
Info:Linear Algebra: Total cpu/real time for bwc: 2956.24/1974.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1804.95, WCT time 1360.04, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (14848 iterations)
Info:Linear Algebra: Lingen CPU time 101.52, WCT time 43.28
Info:Linear Algebra: Mksol: CPU time 1008.97,  WCT time 534.82, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (7424 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.68/50.1452
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.78/56.7204
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 278.28
Info:Polynomial Selection (root optimized): Rootsieve time: 277.11
Info:Filtering - Merging: Merged matrix has 470970 rows and total weight 73014931 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 81.09/62.6953
Info:Filtering - Merging: Total cpu/real time for replay: 17.8/20.1331
Info:Quadratic Characters: Total cpu/real time for characters: 17.55/9.51517
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21827/34.190/41.182/46.130/1.068
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17166/32.940/36.430/41.510/0.819
Info:Polynomial Selection (size optimized): Total time: 1783.85
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 135.64/222.934
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 180.9s
Info:Square Root: Total cpu/real time for sqrt: 281.29/119.582
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 45181.9/25250
Info:root: Cleaning up computation data in /tmp/cado.1bzg4q1o
32618058078501122834434561071458567331011897809199684364433429147 691770072337766027585033944263045223279847359713269

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)

302715808998181040036028493773907351842497370408619394430699206148267236887299467233922647412086936660539662366646402634612645629263528996492298789911761089061983050321<168>

85922333496496840881287845246782921043168068078457<50>
3523133004884267203340381448994071725419332346963474611637622119323087766832551391470140737844204973768015962778515353<118>

Number: n
N=302715808998181040036028493773907351842497370408619394430699206148267236887299467233922647412086936660539662366646402634612645629263528996492298789911761089061983050321  ( 168 digits)
SNFS difficulty: 177 digits.
Divisors found:

Sun Jun  5 15:21:17 2022  p50 factor: 85922333496496840881287845246782921043168068078457
Sun Jun  5 15:21:17 2022  p118 factor: 3523133004884267203340381448994071725419332346963474611637622119323087766832551391470140737844204973768015962778515353
Sun Jun  5 15:21:17 2022  elapsed time 00:19:53 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 19x10^177+44 = 21(176)6
#
n: 302715808998181040036028493773907351842497370408619394430699206148267236887299467233922647412086936660539662366646402634612645629263528996492298789911761089061983050321
m: 100000000000000000000000000000000000
deg: 5
c5: 475
c0: 11
skew: 0.47
# Murphy_E = 1.311e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 30400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3420358 hash collisions in 28901086 relations (27138627 unique)
Msieve: matrix is 884700 x 884932 (303.0 MB)

Sieving start time : 2022/06/05 11:41:44
Sieving end time  : 2022/06/05 15:00:08

Total sieving time: 3hrs 18min 24secs.

Total relation processing time: 0hrs 12min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 56sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
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)

4212171593927667299347698504586698174295753465624295923088091018370866294278364965570941159694974745140578201076194857318471075620950435503<139>

228210311791004331358889009445855673959957183861824556961<57>
18457411327605504176974382077163534346899973582446209159386566771177323603409081423<83>

4212171593927667299347698504586698174295753465624295923088091018370866294278364965570941159694974745140578201076194857318471075620950435503=228210311791004331358889009445855673959957183861824556961*18457411327605504176974382077163534346899973582446209159386566771177323603409081423

cado polynomial
n: 4212171593927667299347698504586698174295753465624295923088091018370866294278364965570941159694974745140578201076194857318471075620950435503
skew: 0.30
type: snfs
c0: 11
c5: 4750
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 4750*x^5+11
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18457411327605504176974382077163534346899973582446209159386566771177323603409081423 228210311791004331358889009445855673959957183861824556961
Info:Square Root: Total cpu/real time for sqrt: 257.31/81.0062
Info:Generate Free Relations: Total cpu/real time for freerel: 118.92/32.1413
Info:Filtering - Singleton removal: Total cpu/real time for purge: 124.05/124.388
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412005
Info:Lattice Sieving: Average J: 1894.26 for 921827 special-q, max bucket fill -bkmult 1.0,1s:1.167690
Info:Lattice Sieving: Total time: 148973s
Info:Linear Algebra: Total cpu/real time for bwc: 16134.1/4144.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 10224.3, WCT time 2616.5, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (32000 iterations)
Info:Linear Algebra: Lingen CPU time 183.77, WCT time 46.78
Info:Linear Algebra: Mksol: CPU time 5558.63,  WCT time 1419.85, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.65/99.3806
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 99.3s
Info:Filtering - Merging: Merged matrix has 1017846 rows and total weight 173838074 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 241.69/67.2476
Info:Filtering - Merging: Total cpu/real time for replay: 35.56/30.1661
Info:Generate Factor Base: Total cpu/real time for makefb: 2.88/1.55487
Info:Quadratic Characters: Total cpu/real time for characters: 34/13.487
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 216.05/186.745
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.7s
Info:Square Root: Total cpu/real time for sqrt: 257.31/81.0062
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 294539/79628.7
Info:root: Cleaning up computation data in /tmp/cado.6hejy3x4
18457411327605504176974382077163534346899973582446209159386566771177323603409081423 228210311791004331358889009445855673959957183861824556961

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)

5561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409671<178>

9624235563605527558625089612800333448243809976707533<52>
577854691340830094987029569138380747726083505248078170816473264706609501101601924672335980691375545800628771756451372220897187<126>

Number: n
N=5561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409671  ( 178 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Jun 12 03:54:59 2022  p52 factor: 9624235563605527558625089612800333448243809976707533
Sun Jun 12 03:54:59 2022  p126 factor: 577854691340830094987029569138380747726083505248078170816473264706609501101601924672335980691375545800628771756451372220897187
Sun Jun 12 03:54:59 2022  elapsed time 00:21:29 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 19x10^181+44 = 21(180)6
#
n: 5561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409670998712094602505561409671
m: 1000000000000000000000000000000000000
deg: 5
c5: 95
c0: 22
skew: 0.75
# Murphy_E = 6.789e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3358414 hash collisions in 28833727 relations (27148927 unique)
Msieve: matrix is 937322 x 937548 (320.8 MB)

Sieving start time : 2022/06/12 00:27:04
Sieving end time  : 2022/06/12 03:33:00

Total sieving time: 3hrs 5min 56secs.

Total relation processing time: 0hrs 13min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 58sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] 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)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

25607849479756321095476845112944094021241037252682085287616583104210469567092565636961561270149334195913526335651517602027063453555447733031430265782521968839290527791255593293439<179>

340057195527556820153328849567588170627<39>
75304536461958698731504578504450938371104985762892757467966904688088913824871684675014487617696599643783020383718035732643092234186189315157<140>

Number: n
N=25607849479756321095476845112944094021241037252682085287616583104210469567092565636961561270149334195913526335651517602027063453555447733031430265782521968839290527791255593293439  ( 179 digits)
SNFS difficulty: 182 digits.
Divisors found:

Tue Jun  7 22:11:35 2022  p39 factor: 340057195527556820153328849567588170627
Tue Jun  7 22:11:35 2022  p140 factor: 75304536461958698731504578504450938371104985762892757467966904688088913824871684675014487617696599643783020383718035732643092234186189315157
Tue Jun  7 22:11:35 2022  elapsed time 00:20:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^182+44 = 21(181)6
#
n: 25607849479756321095476845112944094021241037252682085287616583104210469567092565636961561270149334195913526335651517602027063453555447733031430265782521968839290527791255593293439
m: 1000000000000000000000000000000000000
deg: 5
c5: 475
c0: 11
skew: 0.47
# Murphy_E = 8.234e-11
type: snfs
lss: 1
rlim: 7800000
alim: 7800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7800000/7800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2832679 hash collisions in 28745920 relations (27719718 unique)
Msieve: matrix is 895606 x 895831 (306.6 MB)

Sieving start time : 2022/06/07 15:00:20
Sieving end time  : 2022/06/07 21:50:06

Total sieving time: 6hrs 49min 46secs.

Total relation processing time: 0hrs 12min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 57sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000
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)

101945089304067905518810623525310862776044128724372109902261289035060562863334239053413692892976176445476025647107293424672090360114610213977955652870438349761<159>

171797760170178518621151838811050084581732395153<48>
593401737037105006273759346064773004684425673380484487447824936451495404623111735768109812517272231552610674737<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 101945089304067905518810623525310862776044128724372109902261289035060562863334239053413692892976176445476025647107293424672090360114610213977955652870438349761 (159 digits)
Using B1=18400000, B2=58560741340, polynomial Dickson(12), sigma=1:104019367
Step 1 took 41932ms
Step 2 took 15733ms
********** Factor found in step 2: 171797760170178518621151838811050084581732395153
Found prime factor of 48 digits: 171797760170178518621151838811050084581732395153
Prime cofactor 593401737037105006273759346064773004684425673380484487447824936451495404623111735768109812517272231552610674737 has 111 digits

96389632624530736016041584287678278061429682252211376937356152526040830608674116821466246708367123456274953032391492492698993284133524413244764143421894251<155>

345083314193449928309903985189927889884716071<45>
279322785715729399608151030502568511874350900949212298916240767099153142597904385120016521826711490121758167581<111>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 96389632624530736016041584287678278061429682252211376937356152526040830608674116821466246708367123456274953032391492492698993284133524413244764143421894251 (155 digits)
Using B1=16270000, B2=58558792120, polynomial Dickson(12), sigma=1:3031981774
Step 1 took 37331ms
Step 2 took 15941ms
********** Factor found in step 2: 345083314193449928309903985189927889884716071
Found prime factor of 45 digits: 345083314193449928309903985189927889884716071
Prime cofactor 279322785715729399608151030502568511874350900949212298916240767099153142597904385120016521826711490121758167581 has 111 digits

126867217096808442332823303447815154694909860670579396801869677162339559506100435888327837563192594287542342224239737536920875397947964453584879189215274766063909801<165>

376488003298243068079836080591025652398008429<45>
336975457346267280836214617689452855565076241906253815841120719342613231300818514839542781831208599713177662111942365869<120>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 126867217096808442332823303447815154694909860670579396801869677162339559506100435888327837563192594287542342224239737536920875397947964453584879189215274766063909801 (165 digits)
Using B1=15470000, B2=46847878360, polynomial Dickson(12), sigma=1:4091984670
Step 1 took 35972ms
Step 2 took 14003ms
********** Factor found in step 2: 376488003298243068079836080591025652398008429
Found prime factor of 45 digits: 376488003298243068079836080591025652398008429
Prime cofactor 336975457346267280836214617689452855565076241906253815841120719342613231300818514839542781831208599713177662111942365869 has 120 digits

2042187912674296173680573841142213190317794603789367295156573497128720160772485591456029131214754152119013004052478324827259940672652008226474509085192159032911198958553397715888691899<184>

43209631263596562937121718601181465354492966175967533404253925478119<68>
47262331405146877067491520805280036107139576531518725746602534894071116294226124622108083134681652366845967107620621<116>

Number: n
N=2042187912674296173680573841142213190317794603789367295156573497128720160772485591456029131214754152119013004052478324827259940672652008226474509085192159032911198958553397715888691899  ( 184 digits)
SNFS difficulty: 195 digits.
Divisors found:

Sat Jul 23 18:38:07 2022  p68 factor: 43209631263596562937121718601181465354492966175967533404253925478119
Sat Jul 23 18:38:07 2022  p116 factor: 47262331405146877067491520805280036107139576531518725746602534894071116294226124622108083134681652366845967107620621
Sat Jul 23 18:38:07 2022  elapsed time 01:10:08 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 19x10^194+44 = 21(193)6
#
n: 2042187912674296173680573841142213190317794603789367295156573497128720160772485591456029131214754152119013004052478324827259940672652008226474509085192159032911198958553397715888691899
m: 500000000000000000000000000000000000000
deg: 5
c5: 76
c0: 55
skew: 0.94
# Murphy_E = 1.949e-11
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3457413 hash collisions in 27722452 relations (25786119 unique)
Msieve: matrix is 1720826 x 1721052 (597.9 MB)

Sieving start time : 2022/07/23 11:10:08
Sieving end time  : 2022/07/23 17:27:18

Total sieving time: 6hrs 17min 10secs.

Total relation processing time: 0hrs 57min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

10411248597848966582614302283958765765877642991245638871796167732884455606165307151020176663928267321248428827087286106496671278933280692432299544340051180920804747286661<170>

2199490831452670663130084515181031721254999074518683335626690924380211939<73>
4733481244371806380497113815155928611237204025137096069813949127181430336313211705139433649857399<97>

Number: n
N=10411248597848966582614302283958765765877642991245638871796167732884455606165307151020176663928267321248428827087286106496671278933280692432299544340051180920804747286661  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Wed Jul 27 18:56:11 2022  p73 factor: 2199490831452670663130084515181031721254999074518683335626690924380211939
Wed Jul 27 18:56:11 2022  p97 factor: 4733481244371806380497113815155928611237204025137096069813949127181430336313211705139433649857399
Wed Jul 27 18:56:11 2022  elapsed time 01:16:59 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 19x10^197+44 = 21(196)6
#
n: 10411248597848966582614302283958765765877642991245638871796167732884455606165307151020176663928267321248428827087286106496671278933280692432299544340051180920804747286661
m: 1000000000000000000000000000000000000000
deg: 5
c5: 475
c0: 11
skew: 0.47
# Murphy_E = 1.99e-11
type: snfs
lss: 1
rlim: 13800000
alim: 13800000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13800000/13800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3464895 hash collisions in 28873755 relations (27048132 unique)
Msieve: matrix is 1617795 x 1618020 (566.4 MB)

Sieving start time : 2022/07/27 11:27:44
Sieving end time  : 2022/07/27 17:38:25

Total sieving time: 6hrs 10min 41secs.

Total relation processing time: 0hrs 51min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 16min 49sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13800000,13800000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

75396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397<197>

7253391631538903086536702974978394446287347373<46>
1388804740510090872329786802147581051504608371104775392959<58>
7484637014280393400126602005404352248414688630136536557371875603973295928961448601181154955671<94>

Number: n
N=75396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397  ( 197 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Aug 26 02:27:49 2022  found factor: 7253391631538903086536702974978394446287347373
Fri Aug 26 02:30:33 2022  p46 factor: 7253391631538903086536702974978394446287347373
Fri Aug 26 02:30:33 2022  p58 factor: 1388804740510090872329786802147581051504608371104775392959
Fri Aug 26 02:30:33 2022  p94 factor: 7484637014280393400126602005404352248414688630136536557371875603973295928961448601181154955671
Fri Aug 26 02:30:33 2022  elapsed time 01:21:20 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 19x10^198+44 = 21(197)6
#
n: 75396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825396825397
m: 1000000000000000000000000000000000
deg: 6
c6: 19
c0: 44
skew: 1.15
# Murphy_E = 1.519e-11
type: snfs
lss: 1
rlim: 14700000
alim: 14700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14700000/14700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3548692 hash collisions in 27946432 relations (26405592 unique)
Msieve: matrix is 1777053 x 1777278 (622.0 MB)

Sieving start time : 2022/08/25 17:34:52
Sieving end time  : 2022/08/26 01:08:43

Total sieving time: 7hrs 33min 51secs.

Total relation processing time: 1hrs 2min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 59sec.

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

31352458077009066090004314408960985109185245225821675138357009462028216062609109987198874120193096585023814891045483784368395282871992265313282529570824160161062306489399419<173>

8455946671096801188822693865197855231693884730479952215448500581<64>
3707740752927715853764584540745199139895089204525400340014435238196874214108054051524496222844604876715899999<109>

Number: n
N=31352458077009066090004314408960985109185245225821675138357009462028216062609109987198874120193096585023814891045483784368395282871992265313282529570824160161062306489399419  ( 173 digits)
SNFS difficulty: 199 digits.
Divisors found:

Fri Sep  2 03:40:21 2022  p64 factor: 8455946671096801188822693865197855231693884730479952215448500581
Fri Sep  2 03:40:21 2022  p109 factor: 3707740752927715853764584540745199139895089204525400340014435238196874214108054051524496222844604876715899999
Fri Sep  2 03:40:21 2022  elapsed time 01:20:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 19x10^199+44 = 21(198)6
#
n: 31352458077009066090004314408960985109185245225821675138357009462028216062609109987198874120193096585023814891045483784368395282871992265313282529570824160161062306489399419
m: 1000000000000000000000000000000000
deg: 6
c6: 95
c0: 22
skew: 0.78
# Murphy_E = 1.21e-11
type: snfs
lss: 1
rlim: 15100000
alim: 15100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 15100000/15100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 34750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3821882 hash collisions in 28393824 relations (26544450 unique)
Msieve: matrix is 1883419 x 1883644 (660.6 MB)

Sieving start time : 2022/09/01 16:10:59
Sieving end time  : 2022/09/02 02:19:48

Total sieving time: 10hrs 8min 49secs.

Total relation processing time: 1hrs 8min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,199,6,0,0,0,0,0,0,0,0,15100000,15100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

5541534307119741111650214901283749504309756228139157562888277080168606839492305392952355999643615178918118207413282600411755831878622245774326346881871393168440838457240115486508271416603881082967<196>

370633519935614380836670197937755213378137<42>
14951519517399300401136353913926833671035120909164715136629531257255306423630105965696626803478099558890771012416958995435046427003901869077099152978092591<155>

GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 5541534307119741111650214901283749504309756228139157562888277080168606839492305392952355999643615178918118207413282600411755831878622245774326346881871393168440838457240115486508271416603881082967 (196 digits)
Using B1=41670000, B2=192395152966, polynomial Dickson(12), sigma=1:469315612
Step 1 took 129604ms
Step 2 took 36746ms
********** Factor found in step 2: 370633519935614380836670197937755213378137
Found prime factor of 42 digits: 370633519935614380836670197937755213378137
Prime cofactor 14951519517399300401136353913926833671035120909164715136629531257255306423630105965696626803478099558890771012416958995435046427003901869077099152978092591 has 155 digits

201486079684939612236835559599547959010540458738650812447391083798935188450040677634795358082908219682271455381728681159354178291716852318831920728281<150>

4547895552852074364397999139540676631<37>
44303145783236764504470351944069937209110652765337230966650701269792378411834700805029136141498081384064939947151<113>

Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 19:44:26 2022 
Input number is 201486079684939612236835559599547959010540458738650812447391083798935188450040677634795358082908219682271455381728681159354178291716852318831920728281 (150 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2701759003
Step 1 took 0ms
Step 2 took 3501ms
********** Factor found in step 2: 4547895552852074364397999139540676631
Found prime factor of 37 digits: 4547895552852074364397999139540676631
Prime cofactor 44303145783236764504470351944069937209110652765337230966650701269792378411834700805029136141498081384064939947151 has 113 digits

8313560679945479566269605344019945964596605834933826246926510861081645232393777532119679815939087806113669201005950007695302661780651804679572468324415115111868668217<166>

128463825440159950470779378897393516213<39>

64715188508986443439987728820224241531785809464550687930174213830022709567246287067755041203081979033063838652311114588879077109<128>

Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 19:47:25 2022 
Input number is 8313560679945479566269605344019945964596605834933826246926510861081645232393777532119679815939087806113669201005950007695302661780651804679572468324415115111868668217 (166 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1627107570
Step 1 took 0ms
Step 2 took 4039ms
********** Factor found in step 2: 128463825440159950470779378897393516213
Found prime factor of 39 digits: 128463825440159950470779378897393516213
Composite cofactor 64715188508986443439987728820224241531785809464550687930174213830022709567246287067755041203081979033063838652311114588879077109 has 128 digits

64715188508986443439987728820224241531785809464550687930174213830022709567246287067755041203081979033063838652311114588879077109<128>

748747909419592158804473950650317465899787934589<48>
86431210952097076305173927655965079725639804341828360581852029019968550323198681<80>

64715188508986443439987728820224241531785809464550687930174213830022709567246287067755041203081979033063838652311114588879077109=748747909419592158804473950650317465899787934589*86431210952097076305173927655965079725639804341828360581852029019968550323198681

cado polynomial
n: 64715188508986443439987728820224241531785809464550687930174213830022709567246287067755041203081979033063838652311114588879077109
skew: 6291.488
c0: 138252829136204251350992430
c1: -124390670207267632441971
c2: -24068887881580606987
c3: 2705102679027538
c4: 729059749320
c5: -6123600
Y0: -3748834231689166026977564
Y1: 27809115620674789
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.569e-07
# f(x) = -6123600*x^5+729059749320*x^4+2705102679027538*x^3-24068887881580606987*x^2-124390670207267632441971*x+138252829136204251350992430
# g(x) = 27809115620674789*x-3748834231689166026977564

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

cado log (extracts)
Info:Square Root: Factors: 748747909419592158804473950650317465899787934589 86431210952097076305173927655965079725639804341828360581852029019968550323198681
Info:Square Root: Total cpu/real time for sqrt: 1368.58/902.202
Info:Filtering - Merging: Merged matrix has 1636492 rows and total weight 280493253 (171.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 420.18/291.048
Info:Filtering - Merging: Total cpu/real time for replay: 73.57/82.117
Info:Generate Factor Base: Total cpu/real time for makefb: 40.56/11.1336
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23229716
Info:Lattice Sieving: Average J: 7555.81 for 51797 special-q, max bucket fill -bkmult 1.0,1s:1.070630
Info:Lattice Sieving: Total time: 96376.2s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5311.66
Info:Polynomial Selection (root optimized): Rootsieve time: 5309.2
Info:Linear Algebra: Total cpu/real time for bwc: 44873.1/30882.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 27908.08, WCT time 18963.71, iteration CPU time 0.32, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (51200 iterations)
Info:Linear Algebra: Lingen CPU time 1521.8, WCT time 1133.07
Info:Linear Algebra: Mksol: CPU time 15155.18,  WCT time 10552.89, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (25600 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38647/37.970/45.602/49.040/0.849
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30407/37.100/40.856/46.380/0.898
Info:Polynomial Selection (size optimized): Total time: 4848.03
Info:Generate Free Relations: Total cpu/real time for freerel: 253.71/64.8948
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 296.08/408.052
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 391.0s
Info:Quadratic Characters: Total cpu/real time for characters: 64.8/56.1764
Info:Square Root: Total cpu/real time for sqrt: 1368.58/902.202
Info:Filtering - Singleton removal: Total cpu/real time for purge: 118.72/176.974
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.15/175.847
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 175.6s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 195604/85942.5
Info:root: Cleaning up computation data in /tmp/cado.ob1ouwol
748747909419592158804473950650317465899787934589 86431210952097076305173927655965079725639804341828360581852029019968550323198681

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)

6256636952586203813465678680779185290589131681511868580230374171326848995796851325342367654861382021859140203590344688947214847831564645077558881658812283842530725968377<169>

522090868029432383578787441248008332572737301319<48>
11983808443539931379571074434458747969638233357702237465115570478294135519671594308142766067567032960396372686667307733183<122>

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3505348530
Step 1 took 23734ms
Step 2 took 10282ms
********** Factor found in step 2: 522090868029432383578787441248008332572737301319
Found prime factor of 48 digits: 522090868029432383578787441248008332572737301319
Prime cofactor 11983808443539931379571074434458747969638233357702237465115570478294135519671594308142766067567032960396372686667307733183 has 122 digits
 

GMP-ECM

9465157319130293193249022281685630904595498067240343902099957347746883659938783287765403655727297580090193957840354372796976066997234739307463238901092238498082170048964332135287271<181>

522664497931885518858591084462084955488642823475584177213324723525993083495487806925171555642656276449189406975347036539066297522525467857121725042758443887745635873263130123722660500369880460035763<198>

1018461883022473907772847480696569637887602514155082633071477838955783033563064998698103484933563707854491578678419971042846514352672289821805451102284014857736849554887001<172>

488312072032499019634923811645108736085345761963372065299027185949847594388448440908240569881864097410722486687331030887125370112066988759490700599991648986567797221704235666999385216841<186>

41813981406120605154433412730096928656473224777083615857624785965627990817863334909330411040771010025805294754287093593102894604804041957591120066832101926529136933364497<170>

9030850021284456436040907519762105318621248934350295530473867303169909423799986767786742819009875764668121099353256844464317290253883141041272819653963267492931680941368222734690245317552107023<193>

1496837263880771464965605483952826845502100930783002011797432142944372711585008215465800163755309658502910179989804532522406326115485627356297872752067342824846806133356422457314204387827<187>

146143013089407267017198652201692134814187624383145302179109762611685986497632882696798963527660796218437606147035542006319912450329747264694373911903541355676450040229033348722131077747670378763502063370588101<210>

261335195270914643915577496015034307028292621089167367693377432864957988196904552262572660407117635930428886522508554170301692483812995189133086699756754845472381176802805769370729452108321121<192>

7806774149002494269920910558191584777289<40>
6368734183492644302577894328345423433439642290520251<52>
5256215517656425277264450905963250311568018353078865887456271034441797827411802471990330448388306939<100>

Number: 21116_219
N = 261335195270914643915577496015034307028292621089167367693377432864957988196904552262572660407117635930428886522508554170301692483812995189133086699756754845472381176802805769370729452108321121 (192 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=7806774149002494269920910558191584777289 (pp40)
r2=6368734183492644302577894328345423433439642290520251 (pp52)
r3=5256215517656425277264450905963250311568018353078865887456271034441797827411802471990330448388306939 (pp100)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.65 hours.
Factorization parameters were as follows:
n: 261335195270914643915577496015034307028292621089167367693377432864957988196904552262572660407117635930428886522508554170301692483812995189133086699756754845472381176802805769370729452108321121
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 19
c0: 440
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31125849
Relations: 7546654 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.31 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6488786 x 6489011
Matrix solve time: 33.43 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 54.65 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_factory, Msieve

25384752771081089844173067679910610140823101080807344016034971690768111053286654843821008298541237769940263369775202317378697274454567647495019989182183049<155>

191418434597871548459693084174491847272769<42>
132613939845495697041414326116129207581639008272471182920422053203785928212305799422219927657553437620678414562121<114>

Number: 21116_221
N = 25384752771081089844173067679910610140823101080807344016034971690768111053286654843821008298541237769940263369775202317378697274454567647495019989182183049 (155 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=191418434597871548459693084174491847272769 (pp42)
r2=132613939845495697041414326116129207581639008272471182920422053203785928212305799422219927657553437620678414562121 (pp114)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 70.54 hours.
Factorization parameters were as follows:
n: 25384752771081089844173067679910610140823101080807344016034971690768111053286654843821008298541237769940263369775202317378697274454567647495019989182183049
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 95
c0: 22
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
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: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30388954
Relations: 8179686 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 21.98 hours.
Total relation processing time: 0.48 hours.
Pruned matrix : 6990833 x 6991058
Matrix solve time: 47.65 hours.
time per square root: 0.43 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 70.54 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz

GGNFS, NFS_Factory, Msieve

19335615368192142987225948553333810714028580804821782395946020623114032431164497064911070432432705019539460433038153923380840109732989890540004995440226232749385175011987<170>

766081837552162378837109414431041771732386421262222857056956178187420554863137061283120150467929805906882278902236047340024285460970811614618315818094253416215267972140920932401249972990787861776177655401<204>

45130325800577965776166680140326907103007631159059613263458835042353047347667817891260991954733492254438727263009108532088249480148572722820390797786701318427142123383189274428167796501391014723955998635643652369261<215>

26811401869673713688472131933396594092864379997357319578947435098719043242730417656122127068382388634928299990382096652489737350249524054378582538846500199950603869366241719531957157213389781<191>

341637840632333930317381708165283198948665546208889043168129505136243001441135215240886411484280210614047491898590672199873201840142299644834415636872662514226752935146651856848566100717477878666106172548861<207>

17592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592592593<230>

7523084369640943649644682677636170989501704286352182271283812218459625013917741761992950777242057922359013002875939579249248629695313694845444308903943614057591669421556981966864640038457<187>

21765148228964650925552474752435250829830397427954671196145710638615405301497619654285323451179511291<101>

75065677546450931216111077318811389<35>
289948068682871651040785628272249044196243259539027981648458604119<66>

21765148228964650925552474752435250829830397427954671196145710638615405301497619654285323451179511291=75065677546450931216111077318811389*289948068682871651040785628272249044196243259539027981648458604119

cado polynomial
n: 21765148228964650925552474752435250829830397427954671196145710638615405301497619654285323451179511291
skew: 766838.395
c0: -1455809960032110505103434722
c1: 2126273591819454714613
c2: 17204811709249923
c3: -4359840462
c4: -6120
Y0: -1633068045604478572299575
Y1: 121857264188321
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=2.206e+12) = 2.546e-06
# f(x) = -6120*x^4-4359840462*x^3+17204811709249923*x^2+2126273591819454714613*x-1455809960032110505103434722
# g(x) = 121857264188321*x-1633068045604478572299575

cado parameters (extracts)
tasks.lim0 = 919082
tasks.lim1 = 1051872
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 50
tasks.I = 11
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 289948068682871651040785628272249044196243259539027981648458604119 75065677546450931216111077318811389
Info:Square Root: Total cpu/real time for sqrt: 81.59/62.3443
Info:Filtering - Singleton removal: Total cpu/real time for purge: 12.69/22.2436
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2427194
Info:Lattice Sieving: Average J: 1024 for 91144 special-q, max bucket fill -bkmult 1.0,1s:1.346250
Info:Lattice Sieving: Total time: 5482.57s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.76/0.584502
Info:Linear Algebra: Total cpu/real time for bwc: 723.03/665.02
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 311.34, WCT time 278.56, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6400 iterations)
Info:Linear Algebra: Lingen CPU time 215.88, WCT time 188.26
Info:Linear Algebra: Mksol: CPU time 178.17,  WCT time 179.94, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (3200 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 24.17/14.9798
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.35/15.9082
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 15.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 62.64
Info:Polynomial Selection (root optimized): Rootsieve time: 62.22
Info:Filtering - Merging: Merged matrix has 203072 rows and total weight 34604483 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.71/39.6949
Info:Filtering - Merging: Total cpu/real time for replay: 7.47/8.83935
Info:Quadratic Characters: Total cpu/real time for characters: 7.17/5.86092
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 5781.44
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 5929/33.690/38.295/39.130/0.689
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 3468/33.110/36.793/39.120/1.006
Info:Polynomial Selection (size optimized): Total time: 105.6
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.88/42.5744
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.0s
Info:Square Root: Total cpu/real time for sqrt: 81.59/62.3443
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7191.06/3722.3
Info:root: Cleaning up computation data in /tmp/cado.aeriat7j
289948068682871651040785628272249044196243259539027981648458604119 75065677546450931216111077318811389

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)

885824475105907795779133579764009452972912096402597986587775780481856288048156820376345189096796953113225512671482685189979508060638374489731251779026848685997696372730123701047<177>

37341664865929484276370278599694925839633825373012390555660812384264996620888035313643030220990904029750658539799752781989985846593541959841400245778060168986747879051871121318989<179>

305647837899495843888601882323273683115382913197343276798512111584727484561554370546973762805608935666251160052318035914925852324247645316456895464129178034267256973547888905694513447825027107479<195>

2880446330525160316591294346091175374828710031543860902454800625542238527500080553810510529626458437172365673734076889729060305473542320424884880225553648418919346556679315635988800492980823237929086755506729120070866542979<223>

338326808354210760684688853313109610846406945575343575409019218195405952079025135201814056746383698628321571616359831798778483053241501189639241624130625539188756720837438052788880832645825127594974555037415463798843207031<222>

468677539985594332455179626834009215680470453581189750268872904518051485461129364867931602679848839159735172522669192591934799554016319845287077326860649833742809499847063118531016586251467700717323308567425430936664397280683578525688462639<240>

2483756710314527668477632613116096443159839902583670807499070838011327855487070144451718265917832083072153471207403447389755382887366273793228599221116505951344560666914412083660709048626280699356567408694717663818185742589<223>

1092839591656712467667228436440477895565660397066018431438391988801851231942114367622686739012594001263932736962442555822989611215759189530382684711816463841556431807142974662114252894263161804162613<199>

20740310593919639072777731937988879383744134351<47>
52691573094237858226834291106665498876076668521593450499891587324594975687303256396419714201231523046319505036457385079835957351498151246571920083973563<152>

Resuming ECM residue saved by @885646f7034b with GMP-ECM 7.0.5-dev on Sun Feb 11 13:34:23 2024 
Input number is 1092839591656712467667228436440477895565660397066018431438391988801851231942114367622686739012594001263932736962442555822989611215759189530382684711816463841556431807142974662114252894263161804162613 (199 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2627524010
Step 1 took 0ms
Step 2 took 8669ms
********** Factor found in step 2: 20740310593919639072777731937988879383744134351
Found prime factor of 47 digits: 20740310593919639072777731937988879383744134351
Prime cofactor 52691573094237858226834291106665498876076668521593450499891587324594975687303256396419714201231523046319505036457385079835957351498151246571920083973563 has 152 digits

2380983339979705721022406584855991363472231412831761841731976815141796394118705595859880046039663396258590955770680809981091555482490290327530875398394354977130866577884838154785790548306110641880990590786842371216250990958150781471817<235>

73464639094752936932980032668626952059885151665407171934832604026714241790794615648002217061660952869715595318768452753328748255207574065461788282136599113929852407427033903493214338883566849472477707667409928018164789403205917445311<233>

503124668996928291494545069378243830102743353458320093210464993115136108463086537443067471666137061751933057938777671856794831056032199978815803410655650884440207605126575574621332485965469759559368710941637538396356318186632771952123715708081771<246>

111775019747314054740752323907406767<36>

4501226393288276195418862633755686301522834207297350515856636484409129945289862964495069666421663306415375076467402526971437144901995070616760144577616309788966770582591264822463964292083922562363261190738961413<211>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2273105225
Step 1 took 8906ms
Step 2 took 3641ms
********** Factor found in step 2: 111775019747314054740752323907406767
Found prime factor of 36 digits: 111775019747314054740752323907406767
Composite cofactor 4501226393288276195418862633755686301522834207297350515856636484409129945289862964495069666421663306415375076467402526971437144901995070616760144577616309788966770582591264822463964292083922562363261190738961413 has 211 digits

GMP-ECM

432120976580993720150070671060505774387836347347790872087939752750628021551315386369828774701028418323048054100376841971756883660674777596452591918439657312361081154902452211892160042731389320292736268756452836054659756061581<225>

17264565841602151710100679678697343074183113437284192926979973103623741504016283211572711082033947588412750336204703231199796459855341111474575655144840620797441209610002544251808236106567804310689492240031984879874968196852397048667902446116381347<248>

78329713676038198515528247343798183080452036655007907178464770592881725430442389732376226684542331850840436601578797218388188868605615663304260641709995366179043585950782555065788714254853556416357882690122705557781768470558746460733726795852977601<248>

316482165545833660708398593352554651656179428828504843397857866024749618783101504199538271766581963335239337447670765040904513666810750675989696721937928181811219470994032204361016388097239283976483118895254991544926861069718456984544162570092083<246>

1356468568906203178209272397972907680568893811611940894997757336888189237022307236019060232065768466375075702992179166611798762478021804830178548923476997156484245157694462448154399753440887991892226824103189843151189131528993231<229>

323065909341991683401415580991354723<36>

4198736324946840102160174023794062577661458354015502443853208242653044114153477301219039046346551280634279161945313608108585555480201133776221505183681746227232623168146312408177903746281573797<193>

GPU: factor 323065909341991683401415580991354723 found in Step 1 with curve 1326 (-sigma 3:-387957226)
Computing 1792 Step 1 took 317ms of CPU time / 175507ms of GPU time
Throughput: 10.210 curves per second (on average 97.94ms per Step 1)
********** Factor found in step 1: 323065909341991683401415580991354723
Found prime factor of 36 digits: 323065909341991683401415580991354723
Composite cofactor 4198736324946840102160174023794062577661458354015502443853208242653044114153477301219039046346551280634279161945313608108585555480201133776221505183681746227232623168146312408177903746281573797 has 193 digits
Peak memory usage: 9428MB

4198736324946840102160174023794062577661458354015502443853208242653044114153477301219039046346551280634279161945313608108585555480201133776221505183681746227232623168146312408177903746281573797<193>

32218686057608541106577372388482505757681<41>
130319911787814689491877924989083256171352435521420249785027547254792747722415073693867554642177518983438442370352882549096810678926747722709270856251637<153>

Resuming ECM residue saved by @885646f7034b with GMP-ECM 7.0.5-dev on Sun Feb 11 13:45:07 2024 
Input number is 4198736324946840102160174023794062577661458354015502443853208242653044114153477301219039046346551280634279161945313608108585555480201133776221505183681746227232623168146312408177903746281573797 (193 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:4231080676
Step 1 took 0ms
Step 2 took 12644ms
********** Factor found in step 2: 32218686057608541106577372388482505757681
Found prime factor of 41 digits: 32218686057608541106577372388482505757681
Prime cofactor 130319911787814689491877924989083256171352435521420249785027547254792747722415073693867554642177518983438442370352882549096810678926747722709270856251637 has 153 digits

2754996444600153541692102859692302090593490399021307500809995788017611340732974096413857353152373191449056208283008182170167825848134501958752525701981850068510220175291102160530980235821<187>

121025639772717665622025085597285355518202859523031281166520826588964985804650555196596924128488785631300077054077559979341026074112256432379610944669641053684084729504951226830746516019341144179784982342848991<210>

7443974298699263438332549757091364989813508854411534242281774016611816329728882620278953142140730293057514496160476414355116752860053283184453847359348064566682338191506033537063156245102648487697853001097006738755680927754270490518727472183043410123805046231<259>

305602039234154855952066159302944266551888974457459874452248555467413493713283523417801736977653735518484419764667128608275445873375242631934834064526422995684899206013733433956825830642426956287327680660666572734250396800121468768436649340639473875529254479<258>

6344292422521570311217688370370888557038182818848591292110749661557519007788753162545558823296376318841828572232714633611618622452879697902033043349903588937695608363189062557833753730832554057721076751356015146017376573504623416514746775574899528314101<253>

679061855327526000566693582598987676992319242349373570078497441509753811247686407920881807105306875535849043079099338985711050325290910237150003370486190466254797452489982573998590784664155375028661613021776617394313602197991302785037985495923064153197<252>

1394954709253134502377521861367386467668720220146634316039522115232436637553742346838488842903384931556834966157204575462587858978967397700286342167775714139191307737165112871480031701500093074944345879294197998649013628708422631840522581479<241>

167719167174378602351243335791706673413553332887239638949817346900657498361796763818628303947289021922418881692092750883434288204937194613480114945531872080472465832597432854914740554316914171776663254881402685443355066649751491872921017721<240>

15657122285991538739489781718652383507952933081845009315839429532782472260993377297675690967182998015952537573047356357365687659113239068952882085773664773713989817748162940777534868238278498943182152412684588283493235567756640036406797760817916992866328313946701<263>

51481203802494914092221760524780559334827<41>
304132792738478146250725253499545208939005260775781754643698862533214167782713474135415782231314704482871666250361993567709833932567417438694240344585873799679186129643923244700322274147128231313015370909431699315988133863<222>

Resuming ECM residue saved by @f345dc7defbd with GMP-ECM 7.0.5-dev on Fri Aug 26 22:09:43 2022 
Input number is 15657122285991538739489781718652383507952933081845009315839429532782472260993377297675690967182998015952537573047356357365687659113239068952882085773664773713989817748162940777534868238278498943182152412684588283493235567756640036406797760817916992866328313946701 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4219510689
Step 1 took 0ms
Step 2 took 14187ms
********** Factor found in step 2: 51481203802494914092221760524780559334827
Found prime factor of 41 digits: 51481203802494914092221760524780559334827
Prime cofactor 304132792738478146250725253499545208939005260775781754643698862533214167782713474135415782231314704482871666250361993567709833932567417438694240344585873799679186129643923244700322274147128231313015370909431699315988133863 has 222 digits

2324992030730696064980920747293867115890279926075766238524572792251490037186878941899358057677895830913763029415839100692692198147235699952423290825435117660893719893405992059116094195766048143192431984829216355555304768267<223>

335172983150750181860672072783965154074566080728753806407010443974101604101100024435892397836405432671062565966146478326616859113509359764594289694813513850604983244647704224515455655069145777916588130169650256489745994562030758768717990616765069<246>

24092035235767479471510283446310521831860300857387100344572643918574357321098894947343562555787742576462775782764420098158021716614110557882135504239918348816008595334803559504013133212825078168788223451223435720602278501559021<227>

59089864078690489347307916871507263381769744747523607220396815789091961352360056509760392367897214691271456758467110128782678395830740098657401781915122305477971723588665193206598622397056056979074513541563<206>

29387722076587560735567665762348508024024188716317699550233488672048905917237707034350082292862133802641358886576852850791588016076160691337961410189466179314146568090271030132469436823867597239177930176886170662783750934301733825003<233>

57479036668425485808582952790642745013336631653454659485323550231243881819520607375323264572888168666140791027887436338543614041273344278305932554296701569622911846908066791158264286896969057877175896727188642018936827519650090494173109645276808095029<251>

69837467357626177820808576344365008917013798147333151407080062875503065137297408088448152003080618038742981204676699646023581852290504151275364609157945887191709687246501636136891839336547860565427671555090190421879197269816830784667201272334794839963721050973879091<266>

8785933287983120206013303604694559063880449306339468892737312636042084657442842463610467749585660010314130779042415766899238644315326368844244509896872934669853204441657361438479609596776897945169968318664431599225010396533584932867978515637102334093233327586408127909427127<274>

2397267598461480704939278544881763473101242584305966205805098350284967756988102427496854549873871145630903793810365033581425348824773555354666492021722971705648096449500705042904368344122453400598999825294038021995447029431408018605324049216748516803333547436426570124907<271>

876897233779472540188154486999612019071155588608186380583118546166428626718893609203252860907468929597356487832187395988467259439704058272011101645105161831439969289815340460400373762259884510549326536454801879236163882428958193358531624434549417538892858106988509045734369<273>

71467411310377068586194268960674577491829943744191845711304446932939840974243515620760484820787461179383307119562814226360155971096841824576900407068570634517266559138565916403<176>

101558050695129784749414024486746272111<39>
703709955254234586665443123495692727377691458270859589207924470809434208183017848574736761182912773876875309966539948565200931213963229373<138>

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3590256745
Step 1 took 8500ms
Step 2 took 4234ms
********** Factor found in step 2: 101558050695129784749414024486746272111
Found prime factor of 39 digits: 101558050695129784749414024486746272111
Prime cofactor 703709955254234586665443123495692727377691458270859589207924470809434208183017848574736761182912773876875309966539948565200931213963229373 has 138 digits

GMP-ECM

27688470382005926135172146578877038763412622401232800219219875664887467229609835906919833541849874288480102075907299948536767420902124962041157481217692117696405543307838711984131580994616763994946163364391804949<212>

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20740291295804770117066251000898496748088624839798923197077873326220072130523851942678527264156937484995654308007214690536361975696689342054517554532297951753413400314347367667681003617932610525717015862137463606287081664860225435106169895715874641057353462722693665043964802221<278>

2704437129036985471716313856416380077656335432970871661357150762213463486372999856716973193531456660748981325206508140730779824685766373731010798952588763163395243765009388988472312971335938155225430593186203105304195551113179<226>

176181202291714012974884387948363907782589368638754298910865752681782145024149256189648657841990838626336351370093877727822086981596989370873574644380738327542679029940014332467787652710679076530657<198>

421629479858691664761002241732245950347051877984474569525081208332777951395086956634571883128948335667413151539057409038823077234984591709385001734979289360872064774552695125785497269071116254945724927176753887221653357341876159969<231>

7774013518600350239766943257884486342285723637910999819970213253465573394870787712148737336541136806271583116479272025007774013518600350239766943257884486342285723637910999819970213253465573394870787712148737336541136806271583116479272025007774013518600350239766943257884486342285723637911<289>

1603804957351462794959556770849626443598312683911652415206203376808493982716889080071018880726018062540115897692861309879860444641447819345294080122873962013231202874334111409776198457350248081580774060172784797367<214>

128991378238135185898370543692642778355169038270730544453113802675222824892486683855103030983253092909508424750092588711332652168317352486306370187511100456211574199267495470593037761883200090475446996244999359667772484599255829006059094759853135633911181473227785938779851611<276>

2105855959343779343839545979160108932934009<43>

61253656816267291503911185227502212635816361042166001437080447349329821979160857732584952537016682093939039225967299644906147321746970250187118436636883511587520901366808319021986879354487218476378701479096602239398720424513702296179<233>

GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 128991378238135185898370543692642778355169038270730544453113802675222824892486683855103030983253092909508424750092588711332652168317352486306370187511100456211574199267495470593037761883200090475446996244999359667772484599255829006059094759853135633911181473227785938779851611 (276 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1337009359
Step 1 took 17724ms
Step 2 took 5748ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3547602731
Step 1 took 15016ms
Step 2 took 5813ms
Run 3 out of 0:
...
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2690018724
Step 1 took 15478ms
Step 2 took 5775ms
Run 39 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1191088543
Step 1 took 15650ms
Step 2 took 5683ms
** Factor found in step 2: 2105855959343779343839545979160108932934009
Found prime factor of 43 digits: 2105855959343779343839545979160108932934009
Composite cofactor 61253656816267291503911185227502212635816361042166001437080447349329821979160857732584952537016682093939039225967299644906147321746970250187118436636883511587520901366808319021986879354487218476378701479096602239398720424513702296179 has 233 digits

2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

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