Table of contents 目次

3×10116-2

c115

name 名前Eric Jeancolas
date 日付May 30, 2022 18:05:46 UTC 2022 年 5 月 31 日 (火) 3 時 5 分 46 秒 (日本時間)
composite number 合成数
3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093<115>
prime factors 素因数
368643715422801214772616190585684322916518831<45>
9462719550291007926278807807837446473664075618651176411307198994707603<70>
factorization results 素因数分解の結果
3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093=368643715422801214772616190585684322916518831*9462719550291007926278807807837446473664075618651176411307198994707603

cado polynomial
n: 3488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093023255813953488372093
skew: 0.90
type: snfs
c0: -2
c4: 3
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 3*x^4-2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 610000
tasks.lim1 = 610000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
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: 368643715422801214772616190585684322916518831 9462719550291007926278807807837446473664075618651176411307198994707603
Info:Square Root: Total cpu/real time for sqrt: 5.42/1.92184
Info:Filtering - Singleton removal: Total cpu/real time for purge: 31.58/26.8688
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3507455
Info:Lattice Sieving: Average J: 1896.99 for 13596 special-q, max bucket fill -bkmult 1.0,1s:1.345470
Info:Lattice Sieving: Total time: 2449.18s
Info:Linear Algebra: Total cpu/real time for bwc: 32.97/9.82
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 16.67, WCT time 4.81, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1472 iterations)
Info:Linear Algebra: Lingen CPU time 4.24, WCT time 1.12
Info:Linear Algebra: Mksol: CPU time 9.48,  WCT time 2.9, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 18.3/14.0424
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 11.57/11.6057
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 11.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 23.57/24.8432
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.299999999999997s
Info:Filtering - Merging: Merged matrix has 46448 rows and total weight 7899649 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 9.79/2.73102
Info:Filtering - Merging: Total cpu/real time for replay: 1.43/1.17998
Info:Generate Factor Base: Total cpu/real time for makefb: 0.31/0.434374
Info:Quadratic Characters: Total cpu/real time for characters: 1.48/0.578131
Info:Square Root: Total cpu/real time for sqrt: 5.42/1.92184
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2723.1/1429.58
Info:root: Cleaning up computation data in /tmp/cado.f11t9m4t
368643715422801214772616190585684322916518831 9462719550291007926278807807837446473664075618651176411307198994707603
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10117-2

c113

name 名前Eric Jeancolas
date 日付May 30, 2022 19:15:57 UTC 2022 年 5 月 31 日 (火) 4 時 15 分 57 秒 (日本時間)
composite number 合成数
26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003<113>
prime factors 素因数
5850422646632603156141105239489849302870707270326550881<55>
4551359466085457119955242111026724211215472821893494081563<58>
factorization results 素因数分解の結果
26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003=5850422646632603156141105239489849302870707270326550881*4551359466085457119955242111026724211215472821893494081563

cado polynomial
n: 26627376493352031668826442760016331457582589246090213551559476683293983988070935330978289812365753643512683507003
skew: 0.51
type: snfs
c0: -1
c4: 15
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 15*x^4-1
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 630000
tasks.lim1 = 630000
tasks.lpb0 = 25
tasks.lpb1 = 25
tasks.sieve.mfb0 = 45
tasks.sieve.mfb1 = 45
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: 5850422646632603156141105239489849302870707270326550881 4551359466085457119955242111026724211215472821893494081563
Info:Square Root: Total cpu/real time for sqrt: 6.06/2.88199
Info:Filtering - Singleton removal: Total cpu/real time for purge: 29.52/41.2655
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3213105
Info:Lattice Sieving: Average J: 1897.17 for 12809 special-q, max bucket fill -bkmult 1.0,1s:1.375930
Info:Lattice Sieving: Total time: 2609.94s
Info:Generate Free Relations: Total cpu/real time for freerel: 18.21/6.0853
Info:Linear Algebra: Total cpu/real time for bwc: 85.34/84.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 17.25, WCT time 20.52, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1536 iterations)
Info:Linear Algebra: Lingen CPU time 55.47, WCT time 55.02
Info:Linear Algebra: Mksol: CPU time 9.78,  WCT time 6.13, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (768 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.87/18.5114
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.07/45.0749
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 39.5s
Info:Filtering - Merging: Merged matrix has 48445 rows and total weight 8254007 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 18.95/16.0312
Info:Filtering - Merging: Total cpu/real time for replay: 1.56/1.8097
Info:Generate Factor Base: Total cpu/real time for makefb: 0.33/0.179999
Info:Quadratic Characters: Total cpu/real time for characters: 1.63/0.8743
Info:Square Root: Total cpu/real time for sqrt: 6.06/2.88199
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2618.19/1812.31
Info:root: Cleaning up computation data in /tmp/cado.0msekrjz
5850422646632603156141105239489849302870707270326550881 4551359466085457119955242111026724211215472821893494081563
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10127-2

c120

name 名前Dmitry Domanov
date 日付May 31, 2022 13:15:27 UTC 2022 年 5 月 31 日 (火) 22 時 15 分 27 秒 (日本時間)
composite number 合成数
208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349<120>
prime factors 素因数
2954270438145512959293364454882837173515816240816427739<55>
70451036362969877416636447726923458775428932163931748802605747991<65>
factorization results 素因数分解の結果
N=208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349
  ( 120 digits)
SNFS difficulty: 127 digits.
Divisors found:
p55 factor: 2954270438145512959293364454882837173515816240816427739
p65 factor: 70451036362969877416636447726923458775428932163931748802605747991
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.84 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 208131414063836485522913041682297914005677630719674999744345246391587516949355147133577395629692643599332541980695922349
m: 50000000000000000000000000000000
deg: 4
c4: 12
c0: -5
skew: 0.80
# Murphy_E = 1.968e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [475000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102761 x 102988
Total sieving time: 1.80 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,46,46,2.3,2.3,75000
total time: 1.84 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10128-2

c111

name 名前Dmitry Domanov
date 日付May 31, 2022 14:10:13 UTC 2022 年 5 月 31 日 (火) 23 時 10 分 13 秒 (日本時間)
composite number 合成数
861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207<111>
prime factors 素因数
23286626237421506245032231765517511015429884891<47>
36974193790058242609198593234805230941804996882669060862947877677<65>
factorization results 素因数分解の結果
N=861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207
  ( 111 digits)
SNFS difficulty: 128 digits.
Divisors found:
p47 factor: 23286626237421506245032231765517511015429884891
p65 factor: 36974193790058242609198593234805230941804996882669060862947877677
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.46 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 861004231219077595689016810483048663113052677950832109891232519476160846720326396089976270991860826488858478207
m: 100000000000000000000000000000000
deg: 4
c4: 3
c0: -2
skew: 0.90
# Murphy_E = 1.803e-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 : 124671 x 124896
Total sieving time: 1.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 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: 1.46 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10129-2

c111

name 名前Eric Jeancolas
date 日付May 31, 2022 14:22:01 UTC 2022 年 5 月 31 日 (火) 23 時 22 分 1 秒 (日本時間)
composite number 合成数
180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589<111>
prime factors 素因数
489580414549563014776663209645541319431264424832181<51>
368253532783221548878444218024073666145075645984501584623169<60>
factorization results 素因数分解の結果
180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589=489580414549563014776663209645541319431264424832181*368253532783221548878444218024073666145075645984501584623169

cado polynomial
n: 180289717239350699832133969702244792473975032385588551927044183569274688277109694252760819190537749032949401589
skew: 0.51
type: snfs
c0: -1
c4: 15
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 15*x^4-1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1000000
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: 489580414549563014776663209645541319431264424832181 368253532783221548878444218024073666145075645984501584623169
Info:Square Root: Total cpu/real time for sqrt: 20.4/6.66023
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.12/60.4577
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6141932
Info:Lattice Sieving: Average J: 1895.89 for 39865 special-q, max bucket fill -bkmult 1.0,1s:1.375690
Info:Lattice Sieving: Total time: 8687.3s
Info:Linear Algebra: Total cpu/real time for bwc: 109.08/45.45
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 60.1, WCT time 30.26, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2880 iterations)
Info:Linear Algebra: Lingen CPU time 9.94, WCT time 2.56
Info:Linear Algebra: Mksol: CPU time 33.73,  WCT time 9.16, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1408 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.08/11.1114
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.87/46.7445
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 46.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 46.19/58.2152
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 49.9s
Info:Filtering - Merging: Merged matrix has 89976 rows and total weight 15308408 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 20.78/9.55035
Info:Filtering - Merging: Total cpu/real time for replay: 2.82/2.96586
Info:Generate Factor Base: Total cpu/real time for makefb: 0.51/0.281604
Info:Quadratic Characters: Total cpu/real time for characters: 2.92/1.12733
Info:Square Root: Total cpu/real time for sqrt: 20.4/6.66023
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8215.12/4770.38
Info:root: Cleaning up computation data in /tmp/cado.e7kvge0n
489580414549563014776663209645541319431264424832181 368253532783221548878444218024073666145075645984501584623169
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10134-2

c87

name 名前Eric Jeancolas
date 日付May 29, 2022 20:52:05 UTC 2022 年 5 月 30 日 (月) 5 時 52 分 5 秒 (日本時間)
composite number 合成数
287980773535202468364531733019115768825317352038337824637300918946825457493248255091053<87>
prime factors 素因数
5512723179068084647821826013075760540653<40>
52239295205075954775786453892199530202650876801<47>
factorization results 素因数分解の結果
Sun May 29 21:37:05 2022  Msieve v. 1.53 (SVN 1005)
Sun May 29 21:37:05 2022  random seeds: 176a44a8 1701ca2e
Sun May 29 21:37:05 2022  factoring 287980773535202468364531733019115768825317352038337824637300918946825457493248255091053 (87 digits)
Sun May 29 21:37:05 2022  searching for 15-digit factors
Sun May 29 21:37:05 2022  commencing quadratic sieve (87-digit input)
Sun May 29 21:37:06 2022  using multiplier of 5
Sun May 29 21:37:06 2022  using generic 32kb sieve core
Sun May 29 21:37:06 2022  sieve interval: 20 blocks of size 32768
Sun May 29 21:37:06 2022  processing polynomials in batches of 11
Sun May 29 21:37:06 2022  using a sieve bound of 1481047 (56667 primes)
Sun May 29 21:37:06 2022  using large prime bound of 118483760 (26 bits)
Sun May 29 21:37:06 2022  using double large prime bound of 340867706400400 (41-49 bits)
Sun May 29 21:37:06 2022  using trial factoring cutoff of 49 bits
Sun May 29 21:37:06 2022  polynomial 'A' values have 11 factors
Sun May 29 22:40:26 2022  56826 relations (16177 full + 40649 combined from 590571 partial), need 56763
Sun May 29 22:40:26 2022  begin with 606748 relations
Sun May 29 22:40:26 2022  reduce to 134715 relations in 10 passes
Sun May 29 22:40:26 2022  attempting to read 134715 relations
Sun May 29 22:40:27 2022  recovered 134715 relations
Sun May 29 22:40:27 2022  recovered 112546 polynomials
Sun May 29 22:40:27 2022  attempting to build 56826 cycles
Sun May 29 22:40:27 2022  found 56826 cycles in 5 passes
Sun May 29 22:40:27 2022  distribution of cycle lengths:
Sun May 29 22:40:27 2022     length 1 : 16177
Sun May 29 22:40:27 2022     length 2 : 11217
Sun May 29 22:40:27 2022     length 3 : 10148
Sun May 29 22:40:27 2022     length 4 : 7296
Sun May 29 22:40:27 2022     length 5 : 5067
Sun May 29 22:40:27 2022     length 6 : 3118
Sun May 29 22:40:27 2022     length 7 : 1822
Sun May 29 22:40:27 2022     length 9+: 1981
Sun May 29 22:40:27 2022  largest cycle: 17 relations
Sun May 29 22:40:27 2022  matrix is 56667 x 56826 (13.6 MB) with weight 3115294 (54.82/col)
Sun May 29 22:40:27 2022  sparse part has weight 3115294 (54.82/col)
Sun May 29 22:40:27 2022  filtering completed in 3 passes
Sun May 29 22:40:27 2022  matrix is 52129 x 52193 (12.6 MB) with weight 2896627 (55.50/col)
Sun May 29 22:40:27 2022  sparse part has weight 2896627 (55.50/col)
Sun May 29 22:40:27 2022  saving the first 48 matrix rows for later
Sun May 29 22:40:27 2022  matrix includes 64 packed rows
Sun May 29 22:40:27 2022  matrix is 52081 x 52193 (8.1 MB) with weight 2195520 (42.07/col)
Sun May 29 22:40:27 2022  sparse part has weight 1613121 (30.91/col)
Sun May 29 22:40:27 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun May 29 22:40:27 2022  commencing Lanczos iteration
Sun May 29 22:40:27 2022  memory use: 5.0 MB
Sun May 29 22:40:31 2022  lanczos halted after 824 iterations (dim = 52077)
Sun May 29 22:40:31 2022  recovered 16 nontrivial dependencies
Sun May 29 22:40:31 2022  p40 factor: 5512723179068084647821826013075760540653
Sun May 29 22:40:31 2022  p47 factor: 52239295205075954775786453892199530202650876801
Sun May 29 22:40:31 2022  elapsed time 01:03:26
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10136-2

c137

name 名前Bob Backstrom
date 日付May 29, 2022 21:06:28 UTC 2022 年 5 月 30 日 (月) 6 時 6 分 28 秒 (日本時間)
composite number 合成数
14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<137>
prime factors 素因数
5971372929039820532593026294876332533978897<43>
2511985129425161617515268736302554457761430468510429576468158010992684726298208329977043338767<94>
factorization results 素因数分解の結果
Number: n
N=14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 137 digits)
SNFS difficulty: 136 digits.
Divisors found:

Mon May 30 06:42:15 2022  p43 factor: 5971372929039820532593026294876332533978897
Mon May 30 06:42:15 2022  p94 factor: 2511985129425161617515268736302554457761430468510429576468158010992684726298208329977043338767
Mon May 30 06:42:15 2022  elapsed time 00:02:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 3x10^136-2 = 29(135)8
#
n: 14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000000
deg: 4
c4: 3
c0: -2
skew: 0.90
# Murphy_E = 7.293e-09
type: snfs
lss: 1
rlim: 1320000
alim: 1320000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1320000/1320000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6260000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 486588 hash collisions in 6133024 relations (6306987 unique)
Msieve: matrix is 205718 x 205966 (67.0 MB)

Sieving start time : 2022/05/30 06:23:23
Sieving end time  : 2022/05/30 06:34:30

Total sieving time: 0hrs 11min 7secs.

Total relation processing time: 0hrs 0min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 5sec.

Prototype def-par.txt line would be:
snfs,136,4,0,0,0,0,0,0,0,0,1320000,1320000,26,26,48,48,2.3,2.3,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10138-2

c137

name 名前Bob Backstrom
date 日付May 29, 2022 21:05:05 UTC 2022 年 5 月 30 日 (月) 6 時 5 分 5 秒 (日本時間)
composite number 合成数
78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421<137>
prime factors 素因数
176727571866127010539458483305709570728062609<45>
446717892332363912468583241149150445012375381258425531105097647510512034321390411204258587669<93>
factorization results 素因数分解の結果
Number: n
N=78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421  ( 137 digits)
SNFS difficulty: 138 digits.
Divisors found:

Mon May 30 06:18:49 2022  p45 factor: 176727571866127010539458483305709570728062609
Mon May 30 06:18:49 2022  p93 factor: 446717892332363912468583241149150445012375381258425531105097647510512034321390411204258587669
Mon May 30 06:18:49 2022  elapsed time 00:02:36 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 3x10^138-2 = 29(137)8
#
n: 78947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421
m: 10000000000000000000000000000000000
deg: 4
c4: 150
c0: -1
skew: 0.29
# Murphy_E = 5.43e-09
type: snfs
lss: 1
rlim: 1410000
alim: 1410000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1410000/1410000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6305000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 443410 hash collisions in 6614257 relations (6903160 unique)
Msieve: matrix is 208924 x 209172 (57.0 MB)

Sieving start time : 2022/05/30 05:58:17
Sieving end time  : 2022/05/30 06:15:55

Total sieving time: 0hrs 17min 38secs.

Total relation processing time: 0hrs 0min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 7sec.

Prototype def-par.txt line would be:
snfs,138,4,0,0,0,0,0,0,0,0,1410000,1410000,26,26,48,48,2.3,2.3,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10140-2

c131

name 名前Taiyo Kodama
date 日付May 31, 2022 11:51:30 UTC 2022 年 5 月 31 日 (火) 20 時 51 分 30 秒 (日本時間)
composite number 合成数
37234795827635293562130188460500927319061444772945341524769640301612877632689745269560533633892075692464763264895330957149824861831<131>
prime factors 素因数
33913238314992412493036495357617696661<38>
157078175035619753019938305127780060466071587<45>
6989785815908194007873822032149442508427671759833<49>
factorization results 素因数分解の結果
Tue May 31 20:48:02 2022  Msieve v. 1.53 (SVN unknown)
Tue May 31 20:48:02 2022  random seeds: fee61210 614bcc21
Tue May 31 20:48:02 2022  factoring 37234795827635293562130188460500927319061444772945341524769640301612877632689745269560533633892075692464763264895330957149824861831 (131 digits)
Tue May 31 20:48:02 2022  searching for 15-digit factors
Tue May 31 20:48:02 2022  commencing number field sieve (131-digit input)
Tue May 31 20:48:02 2022  R0: -10000000000000000000000000000
Tue May 31 20:48:02 2022  R1: 1
Tue May 31 20:48:02 2022  A0: -2
Tue May 31 20:48:02 2022  A1: 0
Tue May 31 20:48:02 2022  A2: 0
Tue May 31 20:48:02 2022  A3: 0
Tue May 31 20:48:02 2022  A4: 0
Tue May 31 20:48:02 2022  A5: 3
Tue May 31 20:48:02 2022  skew 0.92, size 1.063e-09, alpha 0.945, combined = 4.688e-09 rroots = 1
Tue May 31 20:48:02 2022  
Tue May 31 20:48:02 2022  commencing square root phase
Tue May 31 20:48:02 2022  reading relations for dependency 1
Tue May 31 20:48:02 2022  read 85073 cycles
Tue May 31 20:48:02 2022  cycles contain 259248 unique relations
Tue May 31 20:48:05 2022  read 259248 relations
Tue May 31 20:48:05 2022  multiplying 259248 relations
Tue May 31 20:48:08 2022  multiply complete, coefficients have about 5.51 million bits
Tue May 31 20:48:08 2022  initial square root is modulo 2200981
Tue May 31 20:48:11 2022  GCD is N, no factor found
Tue May 31 20:48:11 2022  reading relations for dependency 2
Tue May 31 20:48:11 2022  read 85143 cycles
Tue May 31 20:48:11 2022  cycles contain 259636 unique relations
Tue May 31 20:48:13 2022  read 259636 relations
Tue May 31 20:48:13 2022  multiplying 259636 relations
Tue May 31 20:48:16 2022  multiply complete, coefficients have about 5.52 million bits
Tue May 31 20:48:16 2022  initial square root is modulo 2243621
Tue May 31 20:48:19 2022  found factor: 157078175035619753019938305127780060466071587
Tue May 31 20:48:19 2022  reading relations for dependency 3
Tue May 31 20:48:19 2022  read 85383 cycles
Tue May 31 20:48:19 2022  cycles contain 259474 unique relations
Tue May 31 20:48:21 2022  read 259474 relations
Tue May 31 20:48:21 2022  multiplying 259474 relations
Tue May 31 20:48:24 2022  multiply complete, coefficients have about 5.52 million bits
Tue May 31 20:48:24 2022  initial square root is modulo 2228591
Tue May 31 20:48:27 2022  sqrtTime: 25
Tue May 31 20:48:27 2022  p38 factor: 33913238314992412493036495357617696661
Tue May 31 20:48:27 2022  p45 factor: 157078175035619753019938305127780060466071587
Tue May 31 20:48:27 2022  p49 factor: 6989785815908194007873822032149442508427671759833
Tue May 31 20:48:27 2022  elapsed time 00:00:25
Tue May 31 20:48:27 2022 -> Computing time scale for this machine...
Tue May 31 20:48:27 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10142-2

c123

name 名前Eric Jeancolas
date 日付June 2, 2022 04:34:09 UTC 2022 年 6 月 2 日 (木) 13 時 34 分 9 秒 (日本時間)
composite number 合成数
167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713<123>
prime factors 素因数
4521950844976586850594202205389228103789<40>
37101505591364316619815226779935831436905114653897866975889280145898149545644601717<83>
factorization results 素因数分解の結果
167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713=4521950844976586850594202205389228103789*37101505591364316619815226779935831436905114653897866975889280145898149545644601717

cado polynomial
n: 167771184558773433148230353477379689697864061278829786671581989702406955895738433423094542416951533950563386215012043605713
skew: 0.37
type: snfs
c0: -1
c5: 150
Y0: 10000000000000000000000000000
Y1: -1
# f(x) = 150*x^5-1
# g(x) = -x+10000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1640000
tasks.lim1 = 1640000
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: 37101505591364316619815226779935831436905114653897866975889280145898149545644601717 4521950844976586850594202205389228103789
Info:Square Root: Total cpu/real time for sqrt: 22.27/16.4915
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.63/73.5631
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6130314
Info:Lattice Sieving: Average J: 1892.04 for 59919 special-q, max bucket fill -bkmult 1.0,1s:1.225890
Info:Lattice Sieving: Total time: 12195.5s
Info:Linear Algebra: Total cpu/real time for bwc: 385.2/319.37
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 139.73, WCT time 137.05, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Linear Algebra: Lingen CPU time 154.56, WCT time 136.93
Info:Linear Algebra: Mksol: CPU time 78.9,  WCT time 33.99, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2176 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.4/20.9063
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.03/40.4827
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.3s
Info:Filtering - Merging: Merged matrix has 138682 rows and total weight 23591055 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 32.61/25.6078
Info:Filtering - Merging: Total cpu/real time for replay: 4.57/4.76803
Info:Generate Factor Base: Total cpu/real time for makefb: 0.73/0.954097
Info:Quadratic Characters: Total cpu/real time for characters: 4.48/3.80895
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.3/75.8382
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.8s
Info:Square Root: Total cpu/real time for sqrt: 22.27/16.4915
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12129.7/6963.67
Info:root: Cleaning up computation data in /tmp/cado.hbfxuccr
37101505591364316619815226779935831436905114653897866975889280145898149545644601717 4521950844976586850594202205389228103789
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10144-2

c128

name 名前Taiyo Kodama
date 日付June 1, 2022 14:06:42 UTC 2022 年 6 月 1 日 (水) 23 時 6 分 42 秒 (日本時間)
composite number 合成数
26268385137572164196056207201073059114756124821424526520134970161758906220404417864987546202479557107495702531754009071631454233<128>
prime factors 素因数
241276462564498833938702531002597524637675061<45>
108872555815717048230579685455479490003623638362618107572277013972236903307631716053<84>
factorization results 素因数分解の結果
Wed Jun  1 23:05:08 2022  Msieve v. 1.53 (SVN unknown)
Wed Jun  1 23:05:08 2022  random seeds: 9908d350 d8cca76e
Wed Jun  1 23:05:08 2022  factoring 26268385137572164196056207201073059114756124821424526520134970161758906220404417864987546202479557107495702531754009071631454233 (128 digits)
Wed Jun  1 23:05:09 2022  searching for 15-digit factors
Wed Jun  1 23:05:09 2022  commencing number field sieve (128-digit input)
Wed Jun  1 23:05:09 2022  R0: -1000000000000000000000000000000000000
Wed Jun  1 23:05:09 2022  R1: 1
Wed Jun  1 23:05:09 2022  A0: -2
Wed Jun  1 23:05:09 2022  A1: 0
Wed Jun  1 23:05:09 2022  A2: 0
Wed Jun  1 23:05:09 2022  A3: 0
Wed Jun  1 23:05:09 2022  A4: 3
Wed Jun  1 23:05:09 2022  skew 0.90, size 6.522e-15, alpha 1.813, combined = 2.895e-09 rroots = 2
Wed Jun  1 23:05:09 2022  
Wed Jun  1 23:05:09 2022  commencing square root phase
Wed Jun  1 23:05:09 2022  reading relations for dependency 1
Wed Jun  1 23:05:09 2022  read 108670 cycles
Wed Jun  1 23:05:09 2022  cycles contain 309658 unique relations
Wed Jun  1 23:05:11 2022  read 309658 relations
Wed Jun  1 23:05:12 2022  multiplying 309658 relations
Wed Jun  1 23:05:15 2022  multiply complete, coefficients have about 7.04 million bits
Wed Jun  1 23:05:15 2022  initial square root is modulo 123211573
Wed Jun  1 23:05:17 2022  GCD is 1, no factor found
Wed Jun  1 23:05:17 2022  reading relations for dependency 2
Wed Jun  1 23:05:17 2022  read 108219 cycles
Wed Jun  1 23:05:18 2022  cycles contain 309482 unique relations
Wed Jun  1 23:05:20 2022  read 309482 relations
Wed Jun  1 23:05:21 2022  multiplying 309482 relations
Wed Jun  1 23:05:23 2022  multiply complete, coefficients have about 7.03 million bits
Wed Jun  1 23:05:23 2022  initial square root is modulo 121489573
Wed Jun  1 23:05:26 2022  sqrtTime: 17
Wed Jun  1 23:05:26 2022  p45 factor: 241276462564498833938702531002597524637675061
Wed Jun  1 23:05:26 2022  p84 factor: 108872555815717048230579685455479490003623638362618107572277013972236903307631716053
Wed Jun  1 23:05:26 2022  elapsed time 00:00:18
Wed Jun 01 23:05:26 2022 -> Computing time scale for this machine...
Wed Jun 01 23:05:26 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10145-2

c118

name 名前Eric Jeancolas
date 日付June 3, 2022 12:31:05 UTC 2022 年 6 月 3 日 (金) 21 時 31 分 5 秒 (日本時間)
composite number 合成数
2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639<118>
prime factors 素因数
20125531545653963777287322219148120409<38>
115412676681058256158288871396029538914257275087179540614251593203578927976812471<81>
factorization results 素因数分解の結果
2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639=115412676681058256158288871396029538914257275087179540614251593203578927976812471*20125531545653963777287322219148120409

cado polynomial
n: 2322741465312999548285518502439374959667357665312215987758188599537359241392128354312977620498017637790300154720820639
skew: 0.92
type: snfs
c0: -2
c5: 3
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 3*x^5-2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1860000
tasks.lim1 = 1860000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 115412676681058256158288871396029538914257275087179540614251593203578927976812471 20125531545653963777287322219148120409
Info:Square Root: Total cpu/real time for sqrt: 27.69/20.9952
Info:Filtering - Singleton removal: Total cpu/real time for purge: 46.85/68.1888
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6249456
Info:Lattice Sieving: Average J: 1890.54 for 61598 special-q, max bucket fill -bkmult 1.0,1s:1.253730
Info:Lattice Sieving: Total time: 12867.7s
Info:Linear Algebra: Total cpu/real time for bwc: 549.91/515.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 233.68, WCT time 227.67, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5376 iterations)
Info:Linear Algebra: Lingen CPU time 172.74, WCT time 146.7
Info:Linear Algebra: Mksol: CPU time 128.42,  WCT time 127.62, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 30.16/21.8351
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.81/37.6577
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 170280 rows and total weight 29073653 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 38.61/30.1663
Info:Filtering - Merging: Total cpu/real time for replay: 5.71/6.17652
Info:Generate Factor Base: Total cpu/real time for makefb: 0.83/1.07473
Info:Quadratic Characters: Total cpu/real time for characters: 5.61/4.60456
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 53.03/80.3011
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 75.2s
Info:Square Root: Total cpu/real time for sqrt: 27.69/20.9952
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12738.3/7355.7
Info:root: Cleaning up computation data in /tmp/cado.wqprl9yy
115412676681058256158288871396029538914257275087179540614251593203578927976812471 20125531545653963777287322219148120409
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10151-2

c117

name 名前Eric Jeancolas
date 日付June 3, 2022 22:16:01 UTC 2022 年 6 月 4 日 (土) 7 時 16 分 1 秒 (日本時間)
composite number 合成数
439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957<117>
prime factors 素因数
101325782881185813451902841030048127503<39>
4341789443019934112866668456672578913904723272320285129998699535722567509914819<79>
factorization results 素因数分解の結果
439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957=101325782881185813451902841030048127503*4341789443019934112866668456672578913904723272320285129998699535722567509914819

cado polynomial
n: 439935214419262527759096244014909669014892947486743091134825470519032723975402946973058440681227985873224697981166957
skew: 0.58
type: snfs
c0: -1
c5: 15
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 15*x^5-1
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 4341789443019934112866668456672578913904723272320285129998699535722567509914819 101325782881185813451902841030048127503
Info:Square Root: Total cpu/real time for sqrt: 32.52/10.3059
Info:Filtering - Singleton removal: Total cpu/real time for purge: 116.12/123.27
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11687993
Info:Lattice Sieving: Average J: 1893.78 for 146280 special-q, max bucket fill -bkmult 1.0,1s:1.240610
Info:Lattice Sieving: Total time: 37157.3s
Info:Linear Algebra: Total cpu/real time for bwc: 583.36/294.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 343.85, WCT time 198.48, iteration CPU time 0.02, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (6656 iterations)
Info:Linear Algebra: Lingen CPU time 32.77, WCT time 12.6
Info:Linear Algebra: Mksol: CPU time 187.14,  WCT time 71.26, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.84/55.5442
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 55.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.45/110.728
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 98.0s
Info:Filtering - Merging: Merged matrix has 209477 rows and total weight 35742951 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.57/18.6617
Info:Filtering - Merging: Total cpu/real time for replay: 7.52/7.2981
Info:Generate Factor Base: Total cpu/real time for makefb: 0.99/0.537795
Info:Quadratic Characters: Total cpu/real time for characters: 6.56/2.56931
Info:Square Root: Total cpu/real time for sqrt: 32.52/10.3059
Info:Generate Free Relations: Total cpu/real time for freerel: 59.69/17.0792
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35632.3/19395.6
Info:root: Cleaning up computation data in /tmp/cado.zswuic72
4341789443019934112866668456672578913904723272320285129998699535722567509914819 101325782881185813451902841030048127503
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10153-2

c154

name 名前Bob Backstrom
date 日付May 30, 2022 19:35:28 UTC 2022 年 5 月 31 日 (火) 4 時 35 分 28 秒 (日本時間)
composite number 合成数
1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<154>
prime factors 素因数
539948253138661398552619348326566045044770547963<48>
2778043990846642363316442671131883138026762770644754969832933319091784850710277009208333312274478054464973<106>
factorization results 素因数分解の結果
Number: n
N=1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 154 digits)
SNFS difficulty: 153 digits.
Divisors found:

Tue May 31 05:32:27 2022  p48 factor: 539948253138661398552619348326566045044770547963
Tue May 31 05:32:27 2022  p106 factor: 2778043990846642363316442671131883138026762770644754969832933319091784850710277009208333312274478054464973
Tue May 31 05:32:27 2022  elapsed time 00:05:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 3x10^153-2 = 29(152)8
#
n: 1499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 100000000000000000000000000000000000000
deg: 4
c4: 15
c0: -1
skew: 0.51
# Murphy_E = 1.124e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1664373 hash collisions in 14588491 relations (14328858 unique)
Msieve: matrix is 348862 x 349088 (115.4 MB)

Sieving start time : 2022/05/31 04:56:27
Sieving end time  : 2022/05/31 05:26:38

Total sieving time: 0hrs 30min 11secs.

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

Prototype def-par.txt line would be:
snfs,153,4,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10154-2

c83

name 名前Eric Jeancolas
date 日付May 29, 2022 17:59:37 UTC 2022 年 5 月 30 日 (月) 2 時 59 分 37 秒 (日本時間)
composite number 合成数
96711271533503713884726957231662263790239591180049910024140311895966629592506397041<83>
prime factors 素因数
29820773560742547701333597448949264229<38>
3243083930620060325719233401614513017587193629<46>
factorization results 素因数分解の結果
96711271533503713884726957231662263790239591180049910024140311895966629592506397041 = 29820773560742547701333597448949264229 * 3243083930620060325719233401614513017587193629

Time elapsed: 0d 0h 6m 23.3s

Modular multiplications:

ECM: 78622512
Probable prime checking: 1383
SIQS: 148019
Sum of squares: 1271
SIQS:

862918 polynomials sieved
487152 sets of trial divisions
17945 smooth congruences found (1 out of every 4152393 values)
194992 partial congruences found (1 out of every 382142 values)
18429 useful partial congruences
Size of binary matrix: 33280 × 32319
Timings:

Probable prime test of 3 numbers: 0d 0h 0m 0.0s
Factoring 1 number using ECM: 0d 0h 0m 14.6s
Factoring 1 number using SIQS: 0d 0h 6m 8.7s
software ソフトウェア
Dario Alpern's calculator
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10156-2

c119

name 名前Eric Jeancolas
date 日付June 4, 2022 08:31:42 UTC 2022 年 6 月 4 日 (土) 17 時 31 分 42 秒 (日本時間)
composite number 合成数
25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601<119>
prime factors 素因数
830551586018365857628705325286671015400157675517716919<54>
30763177302784968016248659404570038904223883499837218249059368079<65>
factorization results 素因数分解の結果
25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601=830551586018365857628705325286671015400157675517716919*30763177302784968016248659404570038904223883499837218249059368079

cado polynomial
n: 25550405699792249537404165656174416011145556341615318575547169809687311276548319307607341702227359485895447014946828601
skew: 0.58
type: snfs
c0: -1
c5: 15
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 15*x^5-1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
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: 30763177302784968016248659404570038904223883499837218249059368079 830551586018365857628705325286671015400157675517716919
Info:Square Root: Total cpu/real time for sqrt: 46.13/64.4595
Info:Filtering - Singleton removal: Total cpu/real time for purge: 96.83/191.904
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11681872
Info:Lattice Sieving: Average J: 1894.55 for 168143 special-q, max bucket fill -bkmult 1.0,1s:1.237260
Info:Lattice Sieving: Total time: 43011.4s
Info:Linear Algebra: Total cpu/real time for bwc: 4384.92/6254.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 587.79, WCT time 904.29, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8576 iterations)
Info:Linear Algebra: Lingen CPU time 3448.39, WCT time 4817.94
Info:Linear Algebra: Mksol: CPU time 324.45,  WCT time 497.5, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4352 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.71/94.7303
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 94.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 106.6/227.124
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 214.9s
Info:Filtering - Merging: Merged matrix has 272211 rows and total weight 46511224 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.44/85.8761
Info:Filtering - Merging: Total cpu/real time for replay: 9.38/13.6362
Info:Generate Factor Base: Total cpu/real time for makefb: 1.22/0.662024
Info:Quadratic Characters: Total cpu/real time for characters: 8.84/12.1732
Info:Square Root: Total cpu/real time for sqrt: 46.13/64.4595
Info:Generate Free Relations: Total cpu/real time for freerel: 59.52/17.0195
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 44005.3/28825.7
Info:root: Cleaning up computation data in /tmp/cado.1e63ij5x
30763177302784968016248659404570038904223883499837218249059368079 830551586018365857628705325286671015400157675517716919
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10158-2

c116

name 名前Eric Jeancolas
date 日付June 4, 2022 16:46:40 UTC 2022 年 6 月 5 日 (日) 1 時 46 分 40 秒 (日本時間)
composite number 合成数
11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791<116>
prime factors 素因数
67770433105189320575551243202290080239506620167<47>
162347772493553740286847021824176512490086387162308431086930859708873<69>
factorization results 素因数分解の結果
11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791=67770433105189320575551243202290080239506620167*162347772493553740286847021824176512490086387162308431086930859708873

cado polynomial
n: 11002378855550878573560251487802343923413481424449509799704611736298333333763843389210514227354940253923809810641791
skew: 0.23
type: snfs
c0: -1
c5: 1500
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 1500*x^5-1
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
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: 162347772493553740286847021824176512490086387162308431086930859708873 67770433105189320575551243202290080239506620167
Info:Square Root: Total cpu/real time for sqrt: 68.52/51.9295
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.62/109.585
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11660442
Info:Lattice Sieving: Average J: 1895.28 for 269206 special-q, max bucket fill -bkmult 1.0,1s:1.233910
Info:Lattice Sieving: Total time: 61174.8s
Info:Linear Algebra: Total cpu/real time for bwc: 2034.85/1738.18
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1048.57, WCT time 880.27, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (11008 iterations)
Info:Linear Algebra: Lingen CPU time 386.48, WCT time 329.58
Info:Linear Algebra: Mksol: CPU time 568.34,  WCT time 500.83, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.74/66.7465
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 66.4s
Info:Generate Free Relations: Total cpu/real time for freerel: 61.3/48.4065
Info:Filtering - Merging: Merged matrix has 348016 rows and total weight 59277321 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 75.28/55.6339
Info:Filtering - Merging: Total cpu/real time for replay: 11.96/13.1481
Info:Generate Factor Base: Total cpu/real time for makefb: 1.33/1.9183
Info:Quadratic Characters: Total cpu/real time for characters: 11.07/9.064
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.15/114.187
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 99.30000000000001s
Info:Square Root: Total cpu/real time for sqrt: 68.52/51.9295
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 60005.7/33131.7
Info:root: Cleaning up computation data in /tmp/cado.4tbyoozy
162347772493553740286847021824176512490086387162308431086930859708873 67770433105189320575551243202290080239506620167
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10159-2

c145

name 名前Bob Backstrom
date 日付June 1, 2022 14:39:14 UTC 2022 年 6 月 1 日 (水) 23 時 39 分 14 秒 (日本時間)
composite number 合成数
2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121<145>
prime factors 素因数
10509276302034851011960286033908258397244593<44>
201949727995390058802373546066037004307646360745448452018280008977522062695807669361809291496773566297<102>
factorization results 素因数分解の結果
Number: n
N=2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121  ( 145 digits)
SNFS difficulty: 159 digits.
Divisors found:

Thu Jun  2 00:33:46 2022  p44 factor: 10509276302034851011960286033908258397244593
Thu Jun  2 00:33:46 2022  p102 factor: 201949727995390058802373546066037004307646360745448452018280008977522062695807669361809291496773566297
Thu Jun  2 00:33:46 2022  elapsed time 00:08:18 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^159-2 = 29(158)8
#
n: 2122345490624336862603914659257664881833518790295270710156330775104250697207955330227963070340976720817438568227321901932386939832956782810282121
m: 50000000000000000000000000000000
deg: 5
c5: 24
c0: -5
skew: 0.73
# Murphy_E = 6.236e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 14400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1178855 hash collisions in 12672773 relations (12287860 unique)
Msieve: matrix is 474028 x 474259 (159.3 MB)

Sieving start time : 2022/06/01 23:14:59
Sieving end time  : 2022/06/02 00:25:15

Total sieving time: 1hrs 10min 16secs.

Total relation processing time: 0hrs 3min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10161-2

c134

name 名前ebina
date 日付May 31, 2022 20:57:16 UTC 2022 年 6 月 1 日 (水) 5 時 57 分 16 秒 (日本時間)
composite number 合成数
11576340855634793830774774998097998941173848960449687909096228399466048579822118997865539942751064277606975941852020393243285096622327<134>
prime factors 素因数
246860629579230769898106343807573227857<39>
46894236944005392054292748848650189364634581787442987755244358934332977585289711480571638688711<95>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1780002148 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 11576340855634793830774774998097998941173848960449687909096228399466048579822118997865539942751064277606975941852020393243285096622327 (134 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1780002148
Step 1 took 2266ms
Step 2 took 2813ms
********** Factor found in step 2: 246860629579230769898106343807573227857
Found probable prime factor of 39 digits: 246860629579230769898106343807573227857
Probable prime cofactor 46894236944005392054292748848650189364634581787442987755244358934332977585289711480571638688711 has 95 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10165-2

c113

name 名前Eric Jeancolas
date 日付May 30, 2022 16:43:35 UTC 2022 年 5 月 31 日 (火) 1 時 43 分 35 秒 (日本時間)
composite number 合成数
20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333<113>
prime factors 素因数
27962751791453108494042842427170034190425013612474906521<56>
744967831548637101027686678022459893488536658397445880373<57>
factorization results 素因数分解の結果
20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333=27962751791453108494042842427170034190425013612474906521*744967831548637101027686678022459893488536658397445880373

cado polynomial
n: 20831350566211589652634358471125702471935188098909650736117150146237531206768639227267640055882345095609723612333
skew: 15421.475
c0: 80040115918070367682171536
c1: 21273756058867759453164
c2: -2167584802902553706
c3: -151517257665239
c4: 5020298470
c5: 69000
Y0: -969961183830365348897
Y1: 243313920014979463
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.307e-06
# f(x) = 69000*x^5+5020298470*x^4-151517257665239*x^3-2167584802902553706*x^2+21273756058867759453164*x+80040115918070367682171536
# g(x) = 243313920014979463*x-969961183830365348897

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: 27962751791453108494042842427170034190425013612474906521 744967831548637101027686678022459893488536658397445880373
Info:Square Root: Total cpu/real time for sqrt: 125.04/37.6754
Info:Filtering - Singleton removal: Total cpu/real time for purge: 65.74/91.0198
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6513269
Info:Lattice Sieving: Average J: 1897.06 for 95631 special-q, max bucket fill -bkmult 1.0,1s:1.300070
Info:Lattice Sieving: Total time: 22821.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/3.43138
Info:Linear Algebra: Total cpu/real time for bwc: 2080.85/976.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1268.31, WCT time 670.04, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 79.65, WCT time 33.42
Info:Linear Algebra: Mksol: CPU time 696.24,  WCT time 249.88, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.9/42.9397
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.49/44.6941
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 43.8s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 341.81
Info:Polynomial Selection (root optimized): Rootsieve time: 340.65
Info:Filtering - Merging: Merged matrix has 402601 rows and total weight 62414864 (155.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.28/29.8457
Info:Filtering - Merging: Total cpu/real time for replay: 16.77/16.4895
Info:Quadratic Characters: Total cpu/real time for characters: 14.89/5.76943
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): 21416/32.370/39.966/45.290/1.075
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16491/31.960/35.384/40.450/0.813
Info:Polynomial Selection (size optimized): Total time: 1848.39
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.19/155.033
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.49999999999997s
Info:Square Root: Total cpu/real time for sqrt: 125.04/37.6754
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25632.4/13870
Info:root: Cleaning up computation data in /tmp/cado.7bc1pc1w
27962751791453108494042842427170034190425013612474906521 744967831548637101027686678022459893488536658397445880373
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10169-2

c133

name 名前Bob Backstrom
date 日付June 6, 2022 08:05:58 UTC 2022 年 6 月 6 日 (月) 17 時 5 分 58 秒 (日本時間)
composite number 合成数
1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077<133>
prime factors 素因数
4629630489549618102203991683047408687982222321576412431323<58>
297142246217659904068781300213007420264625708391184653501704173420525202799<75>
factorization results 素因数分解の結果
Number: n
N=1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077  ( 133 digits)
SNFS difficulty: 169 digits.
Divisors found:

Mon Jun  6 18:02:09 2022  p58 factor: 4629630489549618102203991683047408687982222321576412431323
Mon Jun  6 18:02:09 2022  p75 factor: 297142246217659904068781300213007420264625708391184653501704173420525202799
Mon Jun  6 18:02:09 2022  elapsed time 00:11:33 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 3x10^169-2 = 29(168)8
#
n: 1375658802822537979560426522805414955106391926150977918305454001551564388244761755414625548411530319009766696970450441935969234873077
m: 5000000000000000000000000000000000
deg: 5
c5: 24
c0: -5
skew: 0.73
# Murphy_E = 2.529e-10
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1270811 hash collisions in 12204405 relations (11666034 unique)
Msieve: matrix is 718884 x 719110 (249.5 MB)

Sieving start time : 2022/06/06 16:53:19
Sieving end time  : 2022/06/06 17:50:20

Total sieving time: 0hrs 57min 1secs.

Total relation processing time: 0hrs 7min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10170-2

c145

name 名前Bob Backstrom
date 日付June 7, 2022 23:33:15 UTC 2022 年 6 月 8 日 (水) 8 時 33 分 15 秒 (日本時間)
composite number 合成数
3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123<145>
prime factors 素因数
76124611298897733976996970551947952330948494424043516350304643708001<68>
46024758769590050790229670998080043205138817326245172138075298785755448128123<77>
factorization results 素因数分解の結果
Number: n
N=3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123  ( 145 digits)
SNFS difficulty: 170 digits.
Divisors found:

Wed Jun  8 09:28:36 2022  p68 factor: 76124611298897733976996970551947952330948494424043516350304643708001
Wed Jun  8 09:28:36 2022  p77 factor: 46024758769590050790229670998080043205138817326245172138075298785755448128123
Wed Jun  8 09:28:36 2022  elapsed time 00:09:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 3x10^170-2 = 29(169)8
#
n: 3503616871460577348944861714215011370117945140008467668910117768478368934991638591798132891595049055864222196356619204358740757908788805248212123
m: 10000000000000000000000000000000000
deg: 5
c5: 3
c0: -2
skew: 0.92
# Murphy_E = 3.294e-10
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1161309 hash collisions in 12555630 relations (12186667 unique)
Msieve: matrix is 648114 x 648340 (225.7 MB)

Sieving start time : 2022/06/08 08:43:40
Sieving end time  : 2022/06/08 09:18:42

Total sieving time: 0hrs 35min 2secs.

Total relation processing time: 0hrs 6min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 12:58:16 UTC 2022 年 6 月 7 日 (火) 21 時 58 分 16 秒 (日本時間)

3×10171-2

c140

name 名前Bob Backstrom
date 日付June 8, 2022 04:25:12 UTC 2022 年 6 月 8 日 (水) 13 時 25 分 12 秒 (日本時間)
composite number 合成数
34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733<140>
prime factors 素因数
54952610994248249803294770919531966549<38>
626002971595791739564180121539787467538929949631489473558795446458267803541937576398291339003147810617<102>
factorization results 素因数分解の結果
Number: n
N=34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733  ( 140 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Jun  8 14:21:50 2022  p38 factor: 54952610994248249803294770919531966549
Wed Jun  8 14:21:50 2022  p102 factor: 626002971595791739564180121539787467538929949631489473558795446458267803541937576398291339003147810617
Wed Jun  8 14:21:50 2022  elapsed time 00:13:14 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 3x10^171-2 = 29(170)8
#
n: 34400497779346979986269546682066451086199488757120141458250206495676922293533432642061406321946022043166493340981272875585504687973831050733
m: 10000000000000000000000000000000000
deg: 5
c5: 15
c0: -1
skew: 0.58
# Murphy_E = 2.732e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1189250 hash collisions in 12192481 relations (11755198 unique)
Msieve: matrix is 703985 x 704214 (243.2 MB)

Sieving start time : 2022/06/08 13:36:43
Sieving end time  : 2022/06/08 14:08:21

Total sieving time: 0hrs 31min 38secs.

Total relation processing time: 0hrs 7min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 53sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] 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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 14:57:18 UTC 2022 年 6 月 7 日 (火) 23 時 57 分 18 秒 (日本時間)

3×10172-2

c173

name 名前Bob Backstrom
date 日付June 2, 2022 19:41:27 UTC 2022 年 6 月 3 日 (金) 4 時 41 分 27 秒 (日本時間)
composite number 合成数
14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<173>
prime factors 素因数
14484130137814952810894024376008868861460786489602277582827667<62>
1035616212867227820622033699432550633456990046893008221975889896196157466801162215227948942786014624855378448997<112>
factorization results 素因数分解の結果
Number: n
N=14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 173 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jun  3 05:37:56 2022  p62 factor: 14484130137814952810894024376008868861460786489602277582827667
Fri Jun  3 05:37:56 2022  p112 factor: 1035616212867227820622033699432550633456990046893008221975889896196157466801162215227948942786014624855378448997
Fri Jun  3 05:37:56 2022  elapsed time 00:14:59 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 3x10^172-2 = 29(171)8
#
n: 14999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 10000000000000000000000000000000000
deg: 5
c5: 150
c0: -1
skew: 0.37
# Murphy_E = 2.558e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1199405 hash collisions in 12211999 relations (11763778 unique)
Msieve: matrix is 714279 x 714504 (249.2 MB)

Sieving start time : 2022/06/03 04:49:57
Sieving end time  : 2022/06/03 05:22:41

Total sieving time: 0hrs 32min 44secs.

Total relation processing time: 0hrs 7min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10173-2

c170

name 名前Bob Backstrom
date 日付June 2, 2022 21:39:47 UTC 2022 年 6 月 3 日 (金) 6 時 39 分 47 秒 (日本時間)
composite number 合成数
25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287<170>
prime factors 素因数
18022721498011364323864350523851018140559193379<47>
490299909278220491587406848653459196167712031495665341109<57>
2938371526537814270449121766627383395200218650783362005170976532017<67>
factorization results 素因数分解の結果
Number: n
N=25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287  ( 170 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Jun  3 07:34:17 2022  found factor: 18022721498011364323864350523851018140559193379
Fri Jun  3 07:35:24 2022  p47 factor: 18022721498011364323864350523851018140559193379
Fri Jun  3 07:35:24 2022  p57 factor: 490299909278220491587406848653459196167712031495665341109
Fri Jun  3 07:35:24 2022  p67 factor: 2938371526537814270449121766627383395200218650783362005170976532017
Fri Jun  3 07:35:24 2022  elapsed time 00:16:49 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 3x10^173-2 = 29(172)8
#
n: 25965033754543880907045179158732906352778258611736195257053834169984420979747273671455772892504760256188333044832958282845767699498009347412151635797126536264497143846287
m: 10000000000000000000000000000000000
deg: 5
c5: 1500
c0: -1
skew: 0.23
# Murphy_E = 1.692e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1386724 hash collisions in 11974981 relations (11271493 unique)
Msieve: matrix is 855866 x 856092 (297.4 MB)

Sieving start time : 2022/06/03 06:30:23
Sieving end time  : 2022/06/03 07:18:20

Total sieving time: 0hrs 47min 57secs.

Total relation processing time: 0hrs 11min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10175-2

c169

name 名前Bob Backstrom
date 日付June 3, 2022 20:40:37 UTC 2022 年 6 月 4 日 (土) 5 時 40 分 37 秒 (日本時間)
composite number 合成数
1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583<169>
prime factors 素因数
79140212626561086871339686466405879797459986988161450034551<59>
12773970506102240453738694064037604680787050162983796070454977743151619393658790269155678476205584711430570433<110>
factorization results 素因数分解の結果
Number: n
N=1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583  ( 169 digits)
SNFS difficulty: 175 digits.
Divisors found:

Sat Jun  4 06:36:42 2022  p59 factor: 79140212626561086871339686466405879797459986988161450034551
Sat Jun  4 06:36:42 2022  p110 factor: 12773970506102240453738694064037604680787050162983796070454977743151619393658790269155678476205584711430570433
Sat Jun  4 06:36:42 2022  elapsed time 00:15:46 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 3x10^175-2 = 29(174)8
#
n: 1010934741938351447149713302276968756657426498473185259250507809369787999571094086820288759355948302953958055508809184247776600675317886744711278048637148765045489030583
m: 100000000000000000000000000000000000
deg: 5
c5: 3
c0: -2
skew: 0.92
# Murphy_E = 2.08e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1243203 hash collisions in 12183124 relations (11677177 unique)
Msieve: matrix is 778828 x 779053 (271.8 MB)

Sieving start time : 2022/06/04 05:45:36
Sieving end time  : 2022/06/04 06:20:41

Total sieving time: 0hrs 35min 5secs.

Total relation processing time: 0hrs 8min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 45sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,27,27,52,52,2.5,2.5,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10178-2

c140

name 名前Bob Backstrom
date 日付June 15, 2022 22:15:51 UTC 2022 年 6 月 16 日 (木) 7 時 15 分 51 秒 (日本時間)
composite number 合成数
56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103<140>
prime factors 素因数
17975143746349503518158162777197848212060062187<47>
3170406481893633162584424490015085218963947662488684478836622209393895281100450358380966156669<94>
factorization results 素因数分解の結果
Number: n
N=56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103  ( 140 digits)
SNFS difficulty: 178 digits.
Divisors found:

Thu Jun 16 05:05:10 2022  p47 factor: 17975143746349503518158162777197848212060062187
Thu Jun 16 05:05:10 2022  p94 factor: 3170406481893633162584424490015085218963947662488684478836622209393895281100450358380966156669
Thu Jun 16 05:05:10 2022  elapsed time 00:26:37 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 3x10^178-2 = 29(177)8
#
n: 56988512246396270599060887454850977344142404898622831472377085519284955509048683468773488569430937373370864283656092293951768132370524775103
m: 100000000000000000000000000000000000
deg: 5
c5: 1500
c0: -1
skew: 0.23
# Murphy_E = 1.067e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4038317 hash collisions in 28622224 relations (26028928 unique)
Msieve: matrix is 998784 x 999009 (340.1 MB)

Sieving start time : 2022/06/16 02:29:54
Sieving end time  : 2022/06/16 04:37:45

Total sieving time: 2hrs 7min 51secs.

Total relation processing time: 0hrs 15min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 29sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 13:53:55 UTC 2022 年 6 月 9 日 (木) 22 時 53 分 55 秒 (日本時間)

3×10179-2

c158

name 名前Erik Branger
date 日付June 9, 2022 16:34:19 UTC 2022 年 6 月 10 日 (金) 1 時 34 分 19 秒 (日本時間)
composite number 合成数
57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721<158>
prime factors 素因数
12375486171211763327897401709522151209939220377117812790554489<62>
4639527845044424918166627225679330404451068960901426902857404572781507940728065764007948740304889<97>
factorization results 素因数分解の結果
Number: 29998_179
N = 57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721 (158 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=12375486171211763327897401709522151209939220377117812790554489 (pp62)
r2=4639527845044424918166627225679330404451068960901426902857404572781507940728065764007948740304889 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 15.60 hours.
Factorization parameters were as follows:
n: 57416412687299193311758170008097806402824242254473970638285510765337058596736588925265824165007114703419157990583721186429238082334256422214460912793227596721
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 3
c0: -20
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 0
Relations: 4411096 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 2.60 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 3582899 x 3583124
Matrix solve time: 12.64 hours.
time per square root: 0.06 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 15.60 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 13:14:23 UTC 2022 年 6 月 9 日 (木) 22 時 14 分 23 秒 (日本時間)

3×10182-2

c170

name 名前Bob Backstrom
date 日付June 12, 2022 17:32:07 UTC 2022 年 6 月 13 日 (月) 2 時 32 分 7 秒 (日本時間)
composite number 合成数
97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947<170>
prime factors 素因数
3544404689035189762493239032127803687598897<43>
27570634599433592842491248606718208711079325357061544896636279881357443093847944028619298404363190229590728152536234784176950651<128>
factorization results 素因数分解の結果
Number: n
N=97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947  ( 170 digits)
SNFS difficulty: 182 digits.
Divisors found:

Mon Jun 13 02:41:53 2022  p43 factor: 3544404689035189762493239032127803687598897
Mon Jun 13 02:41:53 2022  p128 factor: 27570634599433592842491248606718208711079325357061544896636279881357443093847944028619298404363190229590728152536234784176950651
Mon Jun 13 02:41:53 2022  elapsed time 00:24:00 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^182-2 = 29(181)8
#
n: 97721486553908267298384766595022868235945315970007957466845626997723891618261426914284902873238370780475029742804437408150169756591404686006630642695966789154073451031947
m: 1000000000000000000000000000000000000
deg: 5
c5: 150
c0: -1
skew: 0.37
# Murphy_E = 1.014e-10
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, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3000217 hash collisions in 29268868 relations (28088509 unique)
Msieve: matrix is 850388 x 850614 (290.0 MB)

Sieving start time : 2022/06/13 01:47:41
Sieving end time  : 2022/06/13 02:17:17

Total sieving time: 0hrs 29min 36secs.

Total relation processing time: 0hrs 10min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 0sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 7, 2022 22:35:55 UTC 2022 年 6 月 8 日 (水) 7 時 35 分 55 秒 (日本時間)

3×10183-2

c138

name 名前Eric Jeancolas
date 日付June 29, 2022 12:17:27 UTC 2022 年 6 月 29 日 (水) 21 時 17 分 27 秒 (日本時間)
composite number 合成数
177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881<138>
prime factors 素因数
22876256267255754603335454525134684528433827435259208340983<59>
7764798237837012077960432433916701320638178865905328167303361117716196045315007<79>
factorization results 素因数分解の結果
177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881=22876256267255754603335454525134684528433827435259208340983*7764798237837012077960432433916701320638178865905328167303361117716196045315007

cado polynomial
n: 177629514352295386966294876352762227492139377450353681601720309990725830234037477441289357433664604008039827817610813000552733454103031881
skew: 0.23
type: snfs
c0: -1
c5: 1500
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 1500*x^5-1
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7900000
tasks.lim1 = 7900000
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: 22876256267255754603335454525134684528433827435259208340983 7764798237837012077960432433916701320638178865905328167303361117716196045315007
Info:Square Root: Total cpu/real time for sqrt: 375.92/119.003
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22417903
Info:Lattice Sieving: Average J: 1894.86 for 1375057 special-q, max bucket fill -bkmult 1.0,1s:1.168630
Info:Lattice Sieving: Total time: 334161s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.86/31.036
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.12/106.628
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.36/182.306
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.0s
Info:Filtering - Merging: Merged matrix has 1403283 rows and total weight 239392178 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 353.76/98.243
Info:Filtering - Merging: Total cpu/real time for replay: 51.2/43.7977
Info:Linear Algebra: Total cpu/real time for bwc: 31833.5/8163.33
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20299.95, WCT time 5191.52, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (44032 iterations)
Info:Linear Algebra: Lingen CPU time 275.22, WCT time 69.85
Info:Linear Algebra: Mksol: CPU time 11013.49,  WCT time 2811.05, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22016 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.39/1.84703
Info:Quadratic Characters: Total cpu/real time for characters: 48.04/19.4809
Info:Square Root: Total cpu/real time for sqrt: 375.92/119.003
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.97/106.734
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 669908/101700
Info:root: Cleaning up computation data in /tmp/cado.1arxg0yy
22876256267255754603335454525134684528433827435259208340983 7764798237837012077960432433916701320638178865905328167303361117716196045315007
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 9, 2022 11:21:17 UTC 2022 年 6 月 9 日 (木) 20 時 21 分 17 秒 (日本時間)

3×10184-2

c167

name 名前Bob Backstrom
date 日付June 26, 2022 16:47:49 UTC 2022 年 6 月 27 日 (月) 1 時 47 分 49 秒 (日本時間)
composite number 合成数
24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179<167>
prime factors 素因数
77420512573896477803402688128208754438873188941<47>
312049193549060251206911389088677380324764581414497242108146246312434589926532345712441717584212072120048132986357050319<120>
factorization results 素因数分解の結果
Number: n
N=24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179  ( 167 digits)
SNFS difficulty: 184 digits.
Divisors found:

Mon Jun 27 02:43:21 2022  p47 factor: 77420512573896477803402688128208754438873188941
Mon Jun 27 02:43:21 2022  p120 factor: 312049193549060251206911389088677380324764581414497242108146246312434589926532345712441717584212072120048132986357050319
Mon Jun 27 02:43:21 2022  elapsed time 00:28:39 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^184-2 = 29(183)8
#
n: 24159008512839274846485663435812764558897920859713350916866731196051964221921681053506070609345489787962955768526521922997157314862524073397996594650064845937931322179
m: 5000000000000000000000000000000000000
deg: 5
c5: 24
c0: -5
skew: 0.73
# Murphy_E = 6.306e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3143449 hash collisions in 28914309 relations (27511186 unique)
Msieve: matrix is 1041683 x 1041909 (359.7 MB)

Sieving start time : 2022/06/26 22:44:34
Sieving end time  : 2022/06/27 02:13:53

Total sieving time: 3hrs 29min 19secs.

Total relation processing time: 0hrs 17min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 20sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:32:36 UTC 2022 年 6 月 9 日 (木) 4 時 32 分 36 秒 (日本時間)

3×10188-2

c146

name 名前Eric Jeancolas
date 日付October 23, 2022 07:17:18 UTC 2022 年 10 月 23 日 (日) 16 時 17 分 18 秒 (日本時間)
composite number 合成数
89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051<146>
prime factors 素因数
3627271134920279501290012842698866067992919527045803408805147<61>
24540963704800750101265055785355007647151393125927494002351992980381342831806096052633<86>
factorization results 素因数分解の結果
89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051=3627271134920279501290012842698866067992919527045803408805147*24540963704800750101265055785355007647151393125927494002351992980381342831806096052633

cado polynomial
n: 89016729269550003903296653987334785577475893099473791329838220617248774309510329767609538582443230975281035279700841886196112495977121591753302051
skew: 0.23
type: snfs
c0: -1
c5: 1500
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 1500*x^5-1
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 9600000
tasks.lim1 = 9600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 24540963704800750101265055785355007647151393125927494002351992980381342831806096052633 3627271134920279501290012842698866067992919527045803408805147
Info:Square Root: Total cpu/real time for sqrt: 535.79/167.051
Info:Generate Free Relations: Total cpu/real time for freerel: 119.09/32.7368
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 431.38/435.929
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.6s
Info:Square Root: Total cpu/real time for sqrt: 535.79/167.051
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.27/116.117
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 115.30000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 326.87/353.005
Info:Filtering - Merging: Merged matrix has 1900971 rows and total weight 323171554 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 496.3/136.584
Info:Filtering - Merging: Total cpu/real time for replay: 72.34/62.0074
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25220697
Info:Lattice Sieving: Average J: 1895.38 for 1969829 special-q, max bucket fill -bkmult 1.0,1s:1.159290
Info:Lattice Sieving: Total time: 416219s
Info:Linear Algebra: Total cpu/real time for bwc: 60044/15419.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38472.88, WCT time 9821.75, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (59648 iterations)
Info:Linear Algebra: Lingen CPU time 378.79, WCT time 96.26
Info:Linear Algebra: Mksol: CPU time 20833.94,  WCT time 5360.35, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29952 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 66.64/29.2183
Info:Generate Factor Base: Total cpu/real time for makefb: 4.08/2.11072
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 860577/126052
Info:root: Cleaning up computation data in /tmp/cado.iagt6cqv
24540963704800750101265055785355007647151393125927494002351992980381342831806096052633 3627271134920279501290012842698866067992919527045803408805147
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 16:49:30 UTC 2022 年 6 月 11 日 (土) 1 時 49 分 30 秒 (日本時間)

3×10189-2

c129

name 名前Eric Jeancolas
date 日付June 5, 2022 13:32:03 UTC 2022 年 6 月 5 日 (日) 22 時 32 分 3 秒 (日本時間)
composite number 合成数
242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191<129>
prime factors 素因数
13320180932011102332391485358489582433816607560179229728590390317<65>
18204895313255296371879902073765255727991567243973532518992470723<65>
factorization results 素因数分解の結果
242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191=13320180932011102332391485358489582433816607560179229728590390317*18204895313255296371879902073765255727991567243973532518992470723

cado polynomial
n: 242492499420881482379643406866049291729429067908438774305947339150709269884059027293465874750428797265554991445229026654765189191
skew: 14908.418
c0: -1543414433409827932768235456
c1: 1268895244571694704551748
c2: 75433291235272092341
c3: -5227031550046523
c4: 17085255870
c5: -6080400
Y0: -3312498729760919929846719
Y1: 33879984507514561
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.281e-07
# f(x) = -6080400*x^5+17085255870*x^4-5227031550046523*x^3+75433291235272092341*x^2+1268895244571694704551748*x-1543414433409827932768235456
# g(x) = 33879984507514561*x-3312498729760919929846719

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.ncurves0 = 16
tasks.sieve.ncurves1 = 21
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 13320180932011102332391485358489582433816607560179229728590390317 18204895313255296371879902073765255727991567243973532518992470723
Info:Square Root: Total cpu/real time for sqrt: 1475.17/430.758
Info:Filtering - Singleton removal: Total cpu/real time for purge: 157.18/180.135
Info:Linear Algebra: Total cpu/real time for bwc: 49732.8/12760
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 31844.62, WCT time 8130.08, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (54528 iterations)
Info:Linear Algebra: Lingen CPU time 342.98, WCT time 87.11
Info:Linear Algebra: Mksol: CPU time 17227.52,  WCT time 4422.56, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27392 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23640297
Info:Lattice Sieving: Average J: 7572.82 for 59052 special-q, max bucket fill -bkmult 1.0,1s:1.068320
Info:Lattice Sieving: Total time: 82130.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.56/10.7421
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4821.39
Info:Polynomial Selection (root optimized): Rootsieve time: 4818.93
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 102.22/120.812
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 120.6s
Info:Filtering - Merging: Merged matrix has 1739763 rows and total weight 296559193 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 456.52/128.863
Info:Filtering - Merging: Total cpu/real time for replay: 71.14/59.8362
Info:Quadratic Characters: Total cpu/real time for characters: 68.29/28.785
Info:Generate Free Relations: Total cpu/real time for freerel: 251.84/64.4921
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): 38793/37.900/45.806/50.070/0.855
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30699/36.930/41.079/46.620/0.936
Info:Polynomial Selection (size optimized): Total time: 4857.76
Info:Square Root: Total cpu/real time for sqrt: 1475.17/430.758
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 316.73/283.048
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 256.1s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 217150/58569.2
Info:root: Cleaning up computation data in /tmp/cado.2p24kwpk
13320180932011102332391485358489582433816607560179229728590390317 18204895313255296371879902073765255727991567243973532518992470723
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 11:23:06 UTC 2022 年 6 月 3 日 (金) 20 時 23 分 6 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 10:13:12 UTC 2022 年 6 月 5 日 (日) 19 時 13 分 12 秒 (日本時間)

3×10190-2

c183

name 名前Bob Backstrom
date 日付June 22, 2022 16:03:02 UTC 2022 年 6 月 23 日 (木) 1 時 3 分 2 秒 (日本時間)
composite number 合成数
577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857<183>
prime factors 素因数
11313773223615178747718991069523619745561287537387129486424467887148889017659<77>
51077446249890897968016792786670915800027080967331495573170015033154209194861494333069893208321457127548323<107>
factorization results 素因数分解の結果
Number: n
N=577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857  ( 183 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Jun 22 21:40:41 2022  p77 factor: 11313773223615178747718991069523619745561287537387129486424467887148889017659
Wed Jun 22 21:40:41 2022  p107 factor: 51077446249890897968016792786670915800027080967331495573170015033154209194861494333069893208321457127548323
Wed Jun 22 21:40:41 2022  elapsed time 00:30:29 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.333).
Factorization parameters were as follows:
#
# N = 3x10^190-2 = 29(189)8
#
n: 577878643712659167522665459850590632425379397555349890686549493167683007520859396462774001640481893771496844763342707423856687329167033780127269680976701204418521750215654678522835857
m: 100000000000000000000000000000000000000
deg: 5
c5: 3
c0: -2
skew: 0.92
# Murphy_E = 5.102e-11
type: snfs
lss: 1
rlim: 10500000
alim: 10500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10500000/10500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3104497 hash collisions in 28917297 relations (27564084 unique)
Msieve: matrix is 1128985 x 1129211 (392.0 MB)

Sieving start time : 2022/06/22 17:54:21
Sieving end time  : 2022/06/22 21:09:38

Total sieving time: 3hrs 15min 17secs.

Total relation processing time: 0hrs 21min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 10sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10500000,10500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10192-2

c122

name 名前Ignacio Santos
date 日付June 3, 2022 10:46:24 UTC 2022 年 6 月 3 日 (金) 19 時 46 分 24 秒 (日本時間)
composite number 合成数
24227675445645218715505765107203050216542850280373913836766998721856378207518707213086613149474588350242781430752381694971<122>
prime factors 素因数
374976061042956567430935706464459289801<39>
64611259124805145377302933803424985840531844638845267582302467656806689400720939171<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1211987477
Step 1 took 4797ms
Step 2 took 2859ms
********** Factor found in step 2: 374976061042956567430935706464459289801
Found prime factor of 39 digits: 374976061042956567430935706464459289801
Prime cofactor 64611259124805145377302933803424985840531844638845267582302467656806689400720939171 has 83 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10193-2

c163

name 名前Bob Backstrom
date 日付July 22, 2022 00:16:48 UTC 2022 年 7 月 22 日 (金) 9 時 16 分 48 秒 (日本時間)
composite number 合成数
4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731<163>
prime factors 素因数
1292430861558377123588244635462487185115463930668437<52>
3498059202276962939381395233276230483037266513362799603604807133503074509398085279758467632773944601364034110663<112>
factorization results 素因数分解の結果
Number: n
N=4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731  ( 163 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Jul 22 10:12:24 2022  p52 factor: 1292430861558377123588244635462487185115463930668437
Fri Jul 22 10:12:24 2022  p112 factor: 3498059202276962939381395233276230483037266513362799603604807133503074509398085279758467632773944601364034110663
Fri Jul 22 10:12:24 2022  elapsed time 00:54:28 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 3x10^193-2 = 29(192)8
#
n: 4520999668581024607718587624263512071122249506534138740491387319069253518467168938445464629114624072132411378009755344878301743938092613413801300228175754419243731
m: 100000000000000000000000000000000000000
deg: 5
c5: 1500
c0: -1
skew: 0.23
# Murphy_E = 2.607e-11
type: snfs
lss: 1
rlim: 11600000
alim: 11600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3402716 hash collisions in 28908155 relations (26438344 unique)
Msieve: matrix is 1520461 x 1520686 (529.5 MB)

Sieving start time : 2022/07/22 03:31:53
Sieving end time  : 2022/07/22 08:27:23

Total sieving time: 4hrs 55min 30secs.

Total relation processing time: 0hrs 44min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 6sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11600000,11600000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] 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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 26, 2022 16:45:55 UTC 2022 年 6 月 27 日 (月) 1 時 45 分 55 秒 (日本時間)

3×10196-2

c144

name 名前Ignacio Santos
date 日付July 20, 2022 09:14:56 UTC 2022 年 7 月 20 日 (水) 18 時 14 分 56 秒 (日本時間)
composite number 合成数
657463820177109541691153372035692800405588565814124119426295207056456894460232746970140255992154172726551625028927031022483446718414886084729421<144>
prime factors 素因数
321951791044521772479690796185023591<36>
composite cofactor 合成数の残り
2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3589017804
Step 1 took 3438ms
Step 2 took 2656ms
********** Factor found in step 1: 321951791044521772479690796185023591
Found prime factor of 36 digits: 321951791044521772479690796185023591
Composite cofactor 2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131 has 109 digits
 
software ソフトウェア
GMP-ECM

c109

name 名前Bob Backstrom
date 日付July 22, 2022 04:00:38 UTC 2022 年 7 月 22 日 (金) 13 時 0 分 38 秒 (日本時間)
composite number 合成数
2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131<109>
prime factors 素因数
132117202113537649511930769145890760671645281848565353<54>
15456873245084613213727016711120167095137217497446298227<56>
factorization results 素因数分解の結果
Number: n
N=2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131  ( 109 digits)
Divisors found:

Fri Jul 22 13:57:08 2022  p54 factor: 132117202113537649511930769145890760671645281848565353
Fri Jul 22 13:57:08 2022  p56 factor: 15456873245084613213727016711120167095137217497446298227
Fri Jul 22 13:57:08 2022  elapsed time 00:04:31 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.323).
Factorization parameters were as follows:
#
# N = 3x10^196-2 = 29(195)8
#
# Murphy_E = 1.874e-06, selected by Eric Jeancolas
# From cado-nfs-3.0.0
n: 2042118846564176408100598238988045275447722404545764979212106124077679110028158866658215824241511440537529131
Y0: -823371861299551408708
Y1: 438014894304427
c0: -2559149570366331698793301
c1: -257108988687518247754
c2: 158648206137742420
c3: -442894692398
c4: -20336847
c5: 16200
skew: 11372.651
type: gnfs
# selected mechanically
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.5
alambda: 2.5
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1298605 hash collisions in 11543884 relations (10598820 unique)
Msieve: matrix is 268269 x 268504 (90.6 MB)

Sieving start time : 2022/07/22 13:49:16
Sieving end time  : 2022/07/22 13:52:04

Total sieving time: 0hrs 2min 48secs.

Total relation processing time: 0hrs 1min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 54sec.

Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,27,27,49,49,2.5,2.5,100000
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10199-2

c142

name 名前Eric Jeancolas
date 日付October 24, 2022 17:55:52 UTC 2022 年 10 月 25 日 (火) 2 時 55 分 52 秒 (日本時間)
composite number 合成数
3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379<142>
prime factors 素因数
370686853697135701762218126153729334435986682991474863<54>
10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333<89>
factorization results 素因数分解の結果
3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379=370686853697135701762218126153729334435986682991474863*10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333

cado polynomial
n: 3721124879984633018273537651074665210341285520920576888841156460015871295099489869222896223709961754500198275447404656238472672360070185592379
skew: 0.64
type: snfs
c0: -1
c6: 15
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 15*x^6-1
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14600000
tasks.lim1 = 14600000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 370686853697135701762218126153729334435986682991474863 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333
Info:Square Root: Total cpu/real time for sqrt: 724.32/219.71
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 120.04/133.916
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 132.70000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 426.88/490.418
Info:Filtering - Merging: Merged matrix has 2571314 rows and total weight 440123696 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 717.9/197.263
Info:Filtering - Merging: Total cpu/real time for replay: 101.49/100.739
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28300270
Info:Lattice Sieving: Average J: 1894.48 for 3350458 special-q, max bucket fill -bkmult 1.0,1s:1.222800
Info:Lattice Sieving: Total time: 1.00945e+06s
Info:Linear Algebra: Total cpu/real time for bwc: 116250/29762.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 74468.25, WCT time 18990.22, iteration CPU time 0.22, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (80384 iterations)
Info:Linear Algebra: Lingen CPU time 543.21, WCT time 137.85
Info:Linear Algebra: Mksol: CPU time 40306.61,  WCT time 10316.69, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40448 iterations)
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 527.85/541.091
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.19999999999993s
Info:Quadratic Characters: Total cpu/real time for characters: 88.49/38.8314
Info:Generate Factor Base: Total cpu/real time for makefb: 9.43/3.61533
Info:Generate Free Relations: Total cpu/real time for freerel: 183.2/47.2737
Info:Square Root: Total cpu/real time for sqrt: 724.32/219.71
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.07327e+06/118780
Info:root: Cleaning up computation data in /tmp/cado.wjs_3y2m
370686853697135701762218126153729334435986682991474863 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 26, 2022 15:05:50 UTC 2022 年 8 月 27 日 (土) 0 時 5 分 50 秒 (日本時間)

3×10200-2

c164

name 名前Bob Backstrom
date 日付September 3, 2022 05:24:22 UTC 2022 年 9 月 3 日 (土) 14 時 24 分 22 秒 (日本時間)
composite number 合成数
81400462766030817512668790810441340815132182738481161429309776163405095025614588781859798908659711676904961907936106844462511934624918378994222832437428786329247111<164>
prime factors 素因数
50577595931303881732135727758381630867<38>
1609417396520616466753525982043110709598913658410859473827679415831205350024763025183911787794520632195373055496706122748985533<127>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 81400462766030817512668790810441340815132182738481161429309776163405095025614588781859798908659711676904961907936106844462511934624918378994222832437428786329247111 (164 digits)
Using B1=19530000, B2=70271979970, polynomial Dickson(12), sigma=1:1744797731
Step 1 took 45635ms
Step 2 took 18747ms
********** Factor found in step 2: 50577595931303881732135727758381630867
Found prime factor of 38 digits: 50577595931303881732135727758381630867
Prime cofactor 1609417396520616466753525982043110709598913658410859473827679415831205350024763025183911787794520632195373055496706122748985533 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10202-2

c189

composite cofactor 合成数の残り
346347804078935242734658002843597508029268673189957421847229613688283300051547906876620061055635430598682911850289869413903295519713056696431068087117873668853373613144150598505375578514383<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10203-2

c204

composite cofactor 合成数の残り
149999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10204-2

c177

composite cofactor 合成数の残り
454189212105818844941952153485799370183086317294447006158786409581465928914971228912685128220370789060125194726524259928993241864123375352223319367560178546998332720109839458961<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10206-2

c199

composite cofactor 合成数の残り
3566903614488486641506045628163947540740043565209573065178909583773023560278209921361427185669531944487280314703625621981790196108598518151294782445155706162380053056977884793341095074127509813086879<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10208-2

c189

composite cofactor 合成数の残り
775273850200015226626191083664029689459508101127687069549042628047480646303682796310795487267763635942912142094364971541650126933681724443620198813019727633935553698518844435926961106034131<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10209-2

c169

composite cofactor 合成数の残り
1379045652240576125474706604801116722573905858777957608269203979343002311182361759921124001878635799773951065958970578877548956304991607390648458568115424716076917544569<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10211-2

c140

name 名前Ignacio Santos
date 日付June 4, 2022 20:05:03 UTC 2022 年 6 月 5 日 (日) 5 時 5 分 3 秒 (日本時間)
composite number 合成数
36048698987178349700790677313376281813224715163516372209538375209178533907164448694403457047766398092068935096290130523464777035031571698431<140>
prime factors 素因数
797057579055878847840313678124381489841599<42>
45227220635525886795008860203105824641213315338759121615268277947304243196383042351238928182411969<98>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1140982004
Step 1 took 21532ms
Step 2 took 10593ms
********** Factor found in step 2: 797057579055878847840313678124381489841599
Found prime factor of 42 digits: 797057579055878847840313678124381489841599
Prime cofactor 45227220635525886795008860203105824641213315338759121615268277947304243196383042351238928182411969 has 98 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:47:38 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 38 秒 (日本時間)

3×10215-2

c95

name 名前Eric Jeancolas
date 日付May 30, 2022 05:17:50 UTC 2022 年 5 月 30 日 (月) 14 時 17 分 50 秒 (日本時間)
composite number 合成数
31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727<95>
prime factors 素因数
8127535664154781564976217874215781<34>
3874173832360249792279097983949902672515211452695155950302467<61>
factorization results 素因数分解の結果
31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727=8127535664154781564976217874215781*3874173832360249792279097983949902672515211452695155950302467

cado polynomial
n: 31487485991643138171459591723552096028709476206537849300108392288483331669695125437807374631727
skew: 249241.664
c0: 7370579409751695040341655
c1: -184431191664055060870
c2: -393116332840177
c3: 1884443104
c4: 4380
Y0: -50230293587027556605622
Y1: 16374954169546937
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 9.983e-06
# f(x) = 4380*x^4+1884443104*x^3-393116332840177*x^2-184431191664055060870*x+7370579409751695040341655
# g(x) = 16374954169546937*x-50230293587027556605622

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
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: 3874173832360249792279097983949902672515211452695155950302467 8127535664154781564976217874215781
Info:Square Root: Total cpu/real time for sqrt: 26.24/22.7615
Info:Quadratic Characters: Total cpu/real time for characters: 4.54/2.86689
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 24.6/25.0833
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 17.599999999999998s
Info:Square Root: Total cpu/real time for sqrt: 26.24/22.7615
Info:Linear Algebra: Total cpu/real time for bwc: 201.07/53.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 115.62, WCT time 30.37, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3968 iterations)
Info:Linear Algebra: Lingen CPU time 14.93, WCT time 3.86
Info:Linear Algebra: Mksol: CPU time 63.99,  WCT time 16.95, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (1984 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 15.23/16.6301
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2566877
Info:Lattice Sieving: Average J: 1024 for 35429 special-q, max bucket fill -bkmult 1.0,1s:1.354660
Info:Lattice Sieving: Total time: 2167.96s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.61/0.449613
Info:Generate Free Relations: Total cpu/real time for freerel: 24.17/14.9315
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 9.31/8.78039
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 8.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 49.2
Info:Polynomial Selection (root optimized): Rootsieve time: 48.83
Info:Filtering - Merging: Merged matrix has 125525 rows and total weight 18297929 (145.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 16.63/5.03279
Info:Filtering - Merging: Total cpu/real time for replay: 3.84/3.12184
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7381/30.870/36.481/45.350/1.357
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4929/29.990/34.455/38.410/1.140
Info:Polynomial Selection (size optimized): Total time: 126.9
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3213.75/1345.04
Info:root: Cleaning up computation data in /tmp/cado.wuro1kf3
3874173832360249792279097983949902672515211452695155950302467 8127535664154781564976217874215781
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10217-2

c196

composite cofactor 合成数の残り
2710784694874625680924093415327234455142186425565726110430548142028789022021977295872895676960842471391062803437272647862741552886370482208325850340006464052378197921793925015017313660714385447531<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10219-2

c201

name 名前Erik Branger
date 日付September 1, 2022 18:23:57 UTC 2022 年 9 月 2 日 (金) 3 時 23 分 57 秒 (日本時間)
composite number 合成数
170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823<201>
prime factors 素因数
1508345418894473657832669224702100368055346585284720866595803107<64>
112760370981672421636398957393902845657658063584074686426692865943146340294215074977695455961292288627098062965262637204185951477221017989<138>
factorization results 素因数分解の結果
Number: 29998_219
N = 170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823 (201 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1508345418894473657832669224702100368055346585284720866595803107 (pp64)
r2=112760370981672421636398957393902845657658063584074686426692865943146340294215074977695455961292288627098062965262637204185951477221017989 (pp138)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 46.71 hours.
Factorization parameters were as follows:
n: 170081589003046940642771731044656669630471964659134600907125022705527056934531956548599840724524411733495209092073870794840904956317698505716402629623531621881227293256163834810848376109180717549091823
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -20
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: 30180859
Relations: 7105804 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 16.60 hours.
Total relation processing time: 0.38 hours.
Pruned matrix : 6168638 x 6168864
Matrix solve time: 29.42 hours.
time per square root: 0.31 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 46.71 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10220-2

c200

name 名前Erik Branger
date 日付September 23, 2022 20:01:05 UTC 2022 年 9 月 24 日 (土) 5 時 1 分 5 秒 (日本時間)
composite number 合成数
95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833<200>
prime factors 素因数
1567431514481246997429357114427794476329<40>
60801251745841847222223335211938173734592398709437892790681831952615028979290638464305634196070738229028717492007018416626093995503563769463766191092189151314577<161>
factorization results 素因数分解の結果
Number: 29998_220
N = 95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833 (200 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1567431514481246997429357114427794476329 (pp40)
r2=60801251745841847222223335211938173734592398709437892790681831952615028979290638464305634196070738229028717492007018416626093995503563769463766191092189151314577 (pp161)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 27.94 hours.
Factorization parameters were as follows:
n: 95301798106340449638719062973198090939799640247200156883001881951440687990834545323231562424435028383046170560362348140565427934820695319645013597633438879367729019394820764384183089399612409659147833
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 3
c0: -2
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: 30470986
Relations: 7072218 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 15.54 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6220050 x 6220276
Matrix solve time: 11.87 hours.
time per square root: 0.29 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 27.94 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10221-2

c139

name 名前Erik Branger
date 日付June 17, 2022 16:01:20 UTC 2022 年 6 月 18 日 (土) 1 時 1 分 20 秒 (日本時間)
composite number 合成数
1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137<139>
prime factors 素因数
8403335413365235244839934272369771008565865733913916067652245765883<67>
184132635109769335690054195361697099633280115579715936364305872675582939<72>
factorization results 素因数分解の結果
Number: 29998_221
N = 1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137 (139 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=8403335413365235244839934272369771008565865733913916067652245765883 (pp67)
r2=184132635109769335690054195361697099633280115579715936364305872675582939 (pp72)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.23 hours.
Factorization parameters were as follows:
n: 1547328293374183528933056092767097090799064451869580805930387836691255348458237385160548416559612626980461206773717987970141189441543070137
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 15
c0: -1
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: 30509218
Relations: 7036994 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.60 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6216076 x 6216301
Matrix solve time: 34.06 hours.
time per square root: 0.17 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: 52.23 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:47:21 UTC 2022 年 6 月 3 日 (金) 21 時 47 分 21 秒 (日本時間)
4511e64480Ignacio SantosJune 4, 2022 19:38:48 UTC 2022 年 6 月 5 日 (日) 4 時 38 分 48 秒 (日本時間)

3×10222-2

c180

composite cofactor 合成数の残り
329564871249593668667249395094416901996471758236926221167224129663447793520709973593996573563046681362276078528176003419289561378681404235031040496609719285053591310083000446819961<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10223-2

c187

composite cofactor 合成数の残り
1065312437845142012001623027828222032828544276523660263274656518688358377519601177705460418475298247392734792137707850245458387916915241126844650402643914622341244770550225891070014982751<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10224-2

c196

composite cofactor 合成数の残り
3595086807995642853677216127434454876417108031330086965044689954936929547837800236485495912214088332448180876508230187175572699217652635694679154591578882912809848866643330100788728880424654767411<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10227-2

c185

composite cofactor 合成数の残り
12107324285703399154864213227952060337064785831898562587120112572787138221188256533069772489803434113238442338322394131833568679311276727281362622440217179467469683003470111236687816031<185>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10228-2

c214

composite cofactor 合成数の残り
3943665939343001592872037694982801518029695246740728078663410870560616550020588424644352829336833834085692441217426201219795238705144384312729168441412623262875648239376090385132437729419726398526279613055111392233<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10229-2

c160

composite cofactor 合成数の残り
8385148634655722534292166663774780523313103805595453552582583916657130879533353584174659005658003729032280477465313132369865034688635070396349684118742803306033<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10230-2

c216

composite cofactor 合成数の残り
429081343930728822405512452341099965435825474213543349300241191537831975227832759155899246012652580224296667988947260241297660664506510302214395058182599752454203207099446446159001765480289737410566325082192933475137<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10235-2

c134

name 名前Ignacio Santos
date 日付June 3, 2022 11:38:36 UTC 2022 年 6 月 3 日 (金) 20 時 38 分 36 秒 (日本時間)
composite number 合成数
12614120583853676147443009125827105604348033205183487120254793171318732145475027804544414905341024791925359897587816856547490196957707<134>
prime factors 素因数
2813013936306426969352165404237642667<37>
composite cofactor 合成数の残り
4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1485683562
Step 1 took 3187ms
Step 2 took 1797ms
********** Factor found in step 2: 2813013936306426969352165404237642667
Found prime factor of 37 digits: 2813013936306426969352165404237642667
Composite cofactor 4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121 has 97 digits
software ソフトウェア
GMP-ECM

c97

name 名前Eric Jeancolas
date 日付June 3, 2022 16:29:22 UTC 2022 年 6 月 4 日 (土) 1 時 29 分 22 秒 (日本時間)
composite number 合成数
4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121<97>
prime factors 素因数
9775376352360291121810639895502598788084487<43>
458724153348537332112692564610548618116625577497452183<54>
factorization results 素因数分解の結果
4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121=9775376352360291121810639895502598788084487*458724153348537332112692564610548618116625577497452183

cado polynomial
n: 4484201240899787689935165613972396758560910399332903831653340777740558422393479670429781446585121
skew: 620994.564
c0: 80565887118680936980983936
c1: -200220729688854310200
c2: -186623193886986
c3: 573000929
c4: 660
Y0: -266118727975772803571351
Y1: 147862873728669769
# MurphyE (Bf=3.355e+07,Bg=1.678e+07,area=4.194e+11) = 8.000e-06
# f(x) = 660*x^4+573000929*x^3-186623193886986*x^2-200220729688854310200*x+80565887118680936980983936
# g(x) = 147862873728669769*x-266118727975772803571351

cado parameters (extracts)
tasks.lim0 = 600000
tasks.lim1 = 850000
tasks.lpb0 = 24
tasks.lpb1 = 25
tasks.sieve.mfb0 = 48
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: 458724153348537332112692564610548618116625577497452183 9775376352360291121810639895502598788084487
Info:Square Root: Total cpu/real time for sqrt: 29.48/9.50376
Info:Generate Free Relations: Total cpu/real time for freerel: 23.91/6.67155
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.76/24.1467
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2732781
Info:Lattice Sieving: Average J: 1023.76 for 50445 special-q, max bucket fill -bkmult 1.0,1s:1.390730
Info:Lattice Sieving: Total time: 2020.77s
Info:Generate Factor Base: Total cpu/real time for makefb: 0.63/0.182306
Info:Linear Algebra: Total cpu/real time for bwc: 227.4/61.06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 126.71, WCT time 33.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Linear Algebra: Lingen CPU time 19.12, WCT time 4.89
Info:Linear Algebra: Mksol: CPU time 71.52,  WCT time 18.98, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (2304 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10/9.97833
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 54.35
Info:Polynomial Selection (root optimized): Rootsieve time: 53.98
Info:Filtering - Merging: Merged matrix has 140300 rows and total weight 20489626 (146.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 19.04/5.77771
Info:Filtering - Merging: Total cpu/real time for replay: 4.41/3.52834
Info:Quadratic Characters: Total cpu/real time for characters: 5.01/1.93315
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 7181.67
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 7086/31.320/37.298/43.400/1.347
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 4627/30.830/35.361/38.990/1.156
Info:Polynomial Selection (size optimized): Total time: 124.33
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 31.94/35.3166
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 23.7s
Info:Square Root: Total cpu/real time for sqrt: 29.48/9.50376
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4023.52/1193.86
Info:root: Cleaning up computation data in /tmp/cado.62oed2lr
458724153348537332112692564610548618116625577497452183 9775376352360291121810639895502598788084487
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
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)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10238-2

c231

composite cofactor 合成数の残り
124720276324922827042485554710515632950787698759325096013618190342548146828392058720767240559812115389170872657047501721077453145772551772779412227760476904394849029306662439924217631993152158396214317227536105127286312863457230927<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10240-2

c184

composite cofactor 合成数の残り
8197057166018589793734433110769978863923524362362328504469181349367189344907516058741109932748368804573047746901350538782950604126287034395415869215583875500851485845343037830614110689<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10243-2

c239

composite cofactor 合成数の残り
68141552718847953482033343933130422931903874982964611820288011629491664016717394267024031254258847044927997092627083995820651433243992186435288238768000726843229001044837141689001953391177940307999818289192749738790714577749511652205514923<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10244-2

c217

composite cofactor 合成数の残り
3157555871700679641034765808282792255271657030833948487982583905859451919775715780645368421325955054472262575474842525133760180001427616447640380089338504188581068150558706216774919630965790522684302440700694304144539<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10245-2

c218

composite cofactor 合成数の残り
48557680157763961890590829283188559829959430430171650789541196668968228449471743787439950305201326940050165740896080034871560453725242763474232385738733844584875816200299668344834459675483695661423732130387118618411357<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10248-2

c246

composite cofactor 合成数の残り
213980028530670470756062767475035663338088445078459343794579172610556348074179743223965763195435092724679029957203994293865905848787446504992867332382310984308131241084165477888730385164051355206847360912981455064194008559201141226818830242510699<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10249-2

c218

composite cofactor 合成数の残り
96539373900298333870542276545077313779295372004587873866933396766677734589619540843767055857119810926766284091352357276343430759179288029681938086543618049786776622909726339027237495651099418434368281535993618633644997<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10251-2

c204

composite cofactor 合成数の残り
256375208949432307192765587082984547407220913561179991296867466578908342994185325656781392166821127287242743805776212682193539386022544768030820754242079613704603202986335441228688343676744030105202217677<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10252-2

c180

composite cofactor 合成数の残り
410014659721629744202746384665203043248654751119672616791637428490008817627070031860925129803491046533163821666125197491360064435776281325624942116097057245945475080603120540586333<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10253-2

c247

composite cofactor 合成数の残り
1794571993981244808452769078423872880176786876271080388570299187453692565171975628755216671238837313554438161980221663139933904717080341432874812212995596479241168821489018595235363500726622200363006022942526199853826129183581006202160449332114141<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10256-2

c247

composite cofactor 合成数の残り
3132109857402682628581160734768575498953416035918746855357788030384887551228895841431738331396608167533258787211620258534917456749539082732925604891154036398761066049245905619704776641824012289276532275233513098391235224549200434379620637889381551<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10257-2

c251

composite cofactor 合成数の残り
18930805759457862108768080339310714217653531674330067180381425446763860788912302789908567994342970417587071925577197112471576972719320641532193791377219905161711359985299598300922321477137960013847253386184777537160225165527810426406303302049966473543<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10259-2

c207

composite cofactor 合成数の残り
777125824903310591398323974605843589858104275574922256211990151684148193329422410008869035757118168716079215303164040914411330115901706479130469587377540870627571031236337113785730565667896386703099793952211<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10260-2

c220

composite cofactor 合成数の残り
1023304792284528077392075615976989278856637856173463896221591795107257116910534342667508284864854358067702038774911833371818683988622241353024025388422233112593165864095923803858922049078892729140241653018005466668902383<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10262-2

c199

composite cofactor 合成数の残り
5174784734828930595852878216758001912318390374536780154504142054117625181155801171350181544320685064960317975014125697647545659400071411151589282441965073991403217685057152710316919703154862741954313<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10263-2

c216

composite cofactor 合成数の残り
703245046101606227542116820063601451835583620691779091471484390436315944536099508637797609976464659210197257292424846960267232018530351132302867241039553678360824277493828726343669887114640422270351299459216396787069<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10266-2

c221

composite cofactor 合成数の残り
46259103781004979352895750790963707007040599109434672439656440876536380705624805318440265590753068658937901597628162731444808323493332649375509554154469418605097250015748246665786029751660406355168217322293078158413865417<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10268-2

c259

composite cofactor 合成数の残り
2087258407403915341632229253429386401161066822056579958473195260481871046622734403294711903704397940280434741578337883326831131453524746753379232712518761842270169937857167249341572352488947871762538731387909301836660367968770898348670005545496320565364140883<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10269-2

c244

composite cofactor 合成数の残り
5244719174672748676289234793260955372048408845641100469739363742130709241748566166121204766270711743272816326450703010426528039565119460587033640600696345099841639612047648848599866863449793661491506164095093552589838308772759175951026405172397<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10270-2

c252

composite cofactor 合成数の残り
421219589924178157987065894010713707487900529466095823847463974153250538169351096796486465464039476263075840342871818020970874786484097493830891175811072774232336616724789348790070187299847359490005989757579855313553804117154344112049366030595525338989<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10271-2

c197

composite cofactor 合成数の残り
53467781613997208450932093900272047512632004305846457223523662116728103866856741754035621749458916793810762491762449770494712607450891485682740254752685581330474863333928991751418708642101385622017<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10272-2

c195

composite cofactor 合成数の残り
147540786039738535177426467330476310295029451200680216451516796724970772113876284042607919902376006639673298477471289602336016240104887930205049704425175966730675914184342436578459090537898431997<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10273-2

c200

composite cofactor 合成数の残り
18648049751096134091543987852268260510131961442743971907873011971100231805560071970922522132330471125356909020071111681335750075126981142026902371069421873610091081381790799539681262840283127653491197<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10276-2

c245

composite cofactor 合成数の残り
77646790124554184092625238888370242341236122981383411104516119163103495233850703892709999005494703809567079579332808314677769016029360819001365477281323273476035452491520170210994856816402639007636849186402188733718894628305582615250877711048869<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10277-2

c261

composite cofactor 合成数の残り
342580029449791651648798576933736902237465249222874439272227776379053524829467447231457942566025569828582632051430477652842430691999469770013368792915126514822890061105497209059691522670576982057428808705545223687092050550978164296100256328220634103620763072399<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10278-2

c272

composite cofactor 合成数の残り
75573489424497801567192641358952410366062868074382451231167716214493685331135320378693717273530183799764513006953264850316627729525504289299348103080224281963681396275637676508182341699990376975679947279933777470333626726413387994798528634543231310802021137401168769205113<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10281-2

c177

composite cofactor 合成数の残り
101987335770609476930206464832293553809235099315176344041300390721794688913735049291309692083374625677604363950214291101927774742393165590932718152817928407101862866312850017557<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 11:00:59 UTC 2022 年 6 月 4 日 (土) 20 時 0 分 59 秒 (日本時間)
4511e64480Ignacio SantosJune 7, 2022 19:19:23 UTC 2022 年 6 月 8 日 (水) 4 時 19 分 23 秒 (日本時間)

3×10282-2

c234

composite cofactor 合成数の残り
911732393520720225636971733692904609559909397483885369709295329284145823349787017601251661570004363398597557886066995261025935274946872594159339084538693966226973352048292458364146434535438079134532198983279868325005583542159516030041<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10283-2

c267

composite cofactor 合成数の残り
217656465549885326995822024544523140949407819810461540448542757593711005907861136635266368116193198188128300869363925717185116565808080378838047090362180970179410727495210034773058075224705870928390107652885635316501637124401058029236861694563107225078586743990254307<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10286-2

c249

composite cofactor 合成数の残り
416105430367640135062193694478124174205367562806143472795779413951774803831579124425086613628673603357698095954919704133292471868600909008311195818218490963464319863339373615135191527157005824697674282091470764573460255417967742471950933769831199781<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10287-2

c286

composite cofactor 合成数の残り
8823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10288-2

c270

composite cofactor 合成数の残り
120456227640830288433656753771604638172680457631977670306550193532366484210338341349180682826100772506359228632034623376708875834368929465329165473453852902973892813282445487265915125319327138330224594616160262183114010825660157865228042320078670235119596015202308639337<270>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10289-2

c239

composite cofactor 合成数の残り
81440209895930992596234330143083077452937017372115862968913587145581704137717903882711046600393861960274171009203572577942484681434366987661721158965965544445430322321977072868075035642395957547418735055059066018647704877687800749408351827<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10290-2

c279

composite cofactor 合成数の残り
243224859194678400131858181446770223357550764928423180203784652276921564626090114732042410669665770021783516923667573064077540573104648969674395564798453165662335583203300021441052738408540408430122310917056512772339953197963382500551790370184245136465699138134308782382373650707<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10291-2

c259

composite cofactor 合成数の残り
3071339672702483498649824283083462128260058224661618452711304025188682620848842359957447633189572838259312977580512934618884729580261057839692461286381785733085316912529016410450980285979478786648852108381377859106457420759218919322028507520454674019654903723<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10292-2

c234

composite cofactor 合成数の残り
106369308348236547840580682571267305022318798218268920673157333869471048462462032939272240373825694358422113164247043537635069279726593112542377678688228229484614976716058482236959185654977347192713752453877141613490651986245069599531<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10293-2

c278

composite cofactor 合成数の残り
11536733567310303274994121190462162502959239426869675681891885161319912440752315095457482970193285072311408410033209984073833146424299359761317297184336116123804714378341606395659043008363765011561184503138143441000268091369540933546183430724787447711756008006688817844564812139<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10296-2

c273

composite cofactor 合成数の残り
590427337304092417781648458580373419615583566443764853046433133060738965627883961244536234997682995129712852639984989560374513950548128193296208326236634826519935319881261679015865189997517122503282806240891240953198844886838586170668373879052993062172061740347947362246467<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10297-2

c276

composite cofactor 合成数の残り
856096931331608455652074059481543892097818285958828885257070089668317994852231494461984993365759339868245027213973734642808775715586898675653944302771615328611139803227541619735786113189063866378556593476898311884553241347329611687757205154814874723195169524089135762264146209<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

3×10298-2

c281

composite cofactor 合成数の残り
12011434258069082637048762735575815562025729500051415819699881211298300339002751602424629552315370369164543314147631037934989083260397934596426624347754631192638237903203938835107696789018573630749518640663441367096082994040164937953587998589850795176417041115786223299510025319853<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)