Table of contents 目次

10139-739

c136

name 名前ebina
date 日付December 29, 2021 02:37:48 UTC 2021 年 12 月 29 日 (水) 11 時 37 分 48 秒 (日本時間)
composite number 合成数
1541069502234550778240098628448143011249807366312220681152719987671443982123593774079210972414855910001541069502234550778240098628448143<136>
prime factors 素因数
3513792908663337681660475879631297793853999845883<49>
438577213368211962449358166720653393500410514357352813094150753404973787796104943876221<87>
factorization results 素因数分解の結果
 3513792908663337681660475879631297793853999845883 * 438577213368211962449358166720653393500410514357352813094150753404973787796104943876221

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10143-739

c124

name 名前Ignacio Santos
date 日付December 29, 2021 12:52:14 UTC 2021 年 12 月 29 日 (水) 21 時 52 分 14 秒 (日本時間)
composite number 合成数
1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233<124>
prime factors 素因数
5210545657013541247884529704938305440810226607<46>
363681360986934156146364737982504367680785631303822199065761137708732260225119<78>
factorization results 素因数分解の結果
N=1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233
  ( 124 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=5210545657013541247884529704938305440810226607 (pp46)
 r2=363681360986934156146364737982504367680785631303822199065761137708732260225119 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 7.66 hours.
Scaled time: 59.37 units (timescale=7.752).
Factorization parameters were as follows:
n: 1894978336027243700513507847939129784810702291998709790293255392932519314623663444344783236068591314185706675820999223541233
m: 500000000000000000000000000000000000
deg: 4
c4: 8
c0: -365
skew: 2.60
# Murphy_E = 2.669e-09
type: snfs
lss: 1
rlim: 1740000
alim: 1740000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1740000/1740000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [870000, 1670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 274668 x 274892
Total sieving time: 7.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,4,0,0,0,0,0,0,0,0,1740000,1740000,26,26,48,48,2.3,2.3,100000
total time: 7.66 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10145-739

c127

name 名前Ignacio Santos
date 日付December 29, 2021 16:16:43 UTC 2021 年 12 月 30 日 (木) 1 時 16 分 43 秒 (日本時間)
composite number 合成数
1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629<127>
prime factors 素因数
525515083904563070158671970792649483119994209<45>
2052427969306528902387038206442566306209614965400528150724420645720409540190000381<82>
factorization results 素因数分解の結果
N=1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629
  ( 127 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=525515083904563070158671970792649483119994209 (pp45)
 r2=2052427969306528902387038206442566306209614965400528150724420645720409540190000381 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.68 hours.
Scaled time: 28.88 units (timescale=7.849).
Factorization parameters were as follows:
n: 1078581856498192533775265626969608419183259308953595258069847102150088358084542714854388045820489621700381871700605828427793629
m: 100000000000000000000000000000
deg: 5
c5: 1
c0: -73
skew: 2.36
# Murphy_E = 2.718e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 1715001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 284396 x 284621
Total sieving time: 3.63 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 3.68 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10146-739

c140

name 名前ebina
date 日付December 29, 2021 02:46:10 UTC 2021 年 12 月 29 日 (水) 11 時 46 分 10 秒 (日本時間)
composite number 合成数
44831972010503234402620697755845977070239595508015732435617925795016567655256481470273488478855672880826307042519987213921582604477548372577<140>
prime factors 素因数
9336875141944479072626231278157585933609<40>
4801603462501332855430816543277310318915454004403122283413001625417778374144099600060456469060485753<100>
factorization results 素因数分解の結果
Wed Sep 21 15:27:41 2016  Msieve v. 1.50 (SVN Official Release)
Wed Sep 21 15:27:41 2016  random seeds: cb3f39fc fddb0ee5
Wed Sep 21 15:27:41 2016  factoring 44831972010503234402620697755845977070239595508015732435617925795016567655256481470273488478855672880826307042519987213921582604477548372577 (140 digits)
Wed Sep 21 15:27:41 2016  searching for 15-digit factors
Wed Sep 21 15:27:42 2016  commencing number field sieve (140-digit input)
Wed Sep 21 15:27:42 2016  R0: -100000000000000000000000000000
Wed Sep 21 15:27:42 2016  R1: 1
Wed Sep 21 15:27:42 2016  A0: -73
Wed Sep 21 15:27:42 2016  A1: 0
Wed Sep 21 15:27:42 2016  A2: 0
Wed Sep 21 15:27:42 2016  A3: 0
Wed Sep 21 15:27:42 2016  A4: 0
Wed Sep 21 15:27:42 2016  A5: 10
Wed Sep 21 15:27:42 2016  skew 1.49, size 2.887e-010, alpha 0.961, combined = 2.272e-009 rroots = 1
Wed Sep 21 15:27:42 2016  
Wed Sep 21 15:27:42 2016  commencing square root phase
Wed Sep 21 15:27:42 2016  reading relations for dependency 1
Wed Sep 21 15:27:42 2016  read 121152 cycles
Wed Sep 21 15:27:42 2016  cycles contain 371042 unique relations
Wed Sep 21 15:27:44 2016  read 371042 relations
Wed Sep 21 15:27:46 2016  multiplying 371042 relations
Wed Sep 21 15:27:55 2016  multiply complete, coefficients have about 8.74 million bits
Wed Sep 21 15:27:55 2016  initial square root is modulo 106261
Wed Sep 21 15:28:07 2016  GCD is N, no factor found
Wed Sep 21 15:28:07 2016  reading relations for dependency 2
Wed Sep 21 15:28:07 2016  read 120873 cycles
Wed Sep 21 15:28:08 2016  cycles contain 370864 unique relations
Wed Sep 21 15:28:10 2016  read 370864 relations
Wed Sep 21 15:28:11 2016  multiplying 370864 relations
Wed Sep 21 15:28:21 2016  multiply complete, coefficients have about 8.74 million bits
Wed Sep 21 15:28:21 2016  initial square root is modulo 105691
Wed Sep 21 15:28:33 2016  GCD is 1, no factor found
Wed Sep 21 15:28:33 2016  reading relations for dependency 3
Wed Sep 21 15:28:33 2016  read 120673 cycles
Wed Sep 21 15:28:33 2016  cycles contain 369966 unique relations
Wed Sep 21 15:28:35 2016  read 369966 relations
Wed Sep 21 15:28:37 2016  multiplying 369966 relations
Wed Sep 21 15:28:47 2016  multiply complete, coefficients have about 8.72 million bits
Wed Sep 21 15:28:47 2016  initial square root is modulo 102701
Wed Sep 21 15:28:59 2016  sqrtTime: 77
Wed Sep 21 15:28:59 2016  prp40 factor: 9336875141944479072626231278157585933609
Wed Sep 21 15:28:59 2016  prp100 factor: 4801603462501332855430816543277310318915454004403122283413001625417778374144099600060456469060485753
Wed Sep 21 15:28:59 2016  elapsed time 00:01:18

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10148-739

c117

name 名前ebina
date 日付December 29, 2021 03:03:24 UTC 2021 年 12 月 29 日 (水) 12 時 3 分 24 秒 (日本時間)
composite number 合成数
490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071<117>
prime factors 素因数
41063909903735567524888551508812981835742352536624341<53>
11946893125657302082500078055508411745485621781264304143872812531<65>
factorization results 素因数分解の結果
10/11/21 02:07:05 v1.34.5   nfs: commencing nfs on c117: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071
10/11/21 02:07:05 v1.34.5   nfs: input divides 10^148 - 73
10/11/21 02:07:05 v1.34.5   nfs: using supplied cofactor: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071
10/11/21 02:07:05 v1.34.5   nfs: commencing snfs on c117: 490586142941549256976385270739639715281677147007702677662402418721920155794648517559951801942079002542330124264417071
10/11/21 02:07:06 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:11:30 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:15:59 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:20:20 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:24:13 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:28:00 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:32:21 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:36:49 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:40:41 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:45:02 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:49:26 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:53:20 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 02:57:01 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:00:45 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:05:17 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:09:05 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:13:35 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:17:25 v1.34.5   nfs: commencing msieve filtering
10/11/21 03:19:26 v1.34.5   nfs: raising min_rels by 5.00 percent to 4802556
10/11/21 03:19:26 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:23:30 v1.34.5   nfs: commencing msieve filtering
10/11/21 03:25:40 v1.34.5   nfs: raising min_rels by 5.00 percent to 5090117
10/11/21 03:25:40 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:30:42 v1.34.5   nfs: commencing msieve filtering
10/11/21 03:32:55 v1.34.5   nfs: raising min_rels by 5.00 percent to 5375498
10/11/21 03:32:55 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:38:05 v1.34.5   nfs: commencing msieve filtering
10/11/21 03:40:25 v1.34.5   nfs: raising min_rels by 5.00 percent to 5665650
10/11/21 03:40:25 v1.34.5   nfs: commencing lattice sieving with 8 threads
10/11/21 03:45:29 v1.34.5   nfs: commencing msieve filtering
10/11/21 03:48:26 v1.34.5   nfs: commencing msieve linear algebra
10/11/21 04:02:05 v1.34.5   nfs: commencing msieve sqrt
10/11/21 04:03:05 v1.34.5   prp53 = 41063909903735567524888551508812981835742352536624341
10/11/21 04:03:05 v1.34.5   prp65 = 11946893125657302082500078055508411745485621781264304143872812531
10/11/21 04:03:05 v1.34.5   NFS elapsed time = 6960.4469 seconds.
execution environment 実行環境
core i7 4790s

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10150-739

c123

name 名前Ignacio Santos
date 日付December 30, 2021 09:26:33 UTC 2021 年 12 月 30 日 (木) 18 時 26 分 33 秒 (日本時間)
composite number 合成数
363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023<123>
prime factors 素因数
82527924165042515981363775462749632351<38>
4409840341362150580338598173682947187030212090421106814924171014103773099212687355473<85>
factorization results 素因数分解の結果
N=363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023
  ( 123 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=82527924165042515981363775462749632351 (pp38)
 r2=4409840341362150580338598173682947187030212090421106814924171014103773099212687355473 (pp85)
Version: Msieve v. 1.52 (SVN 927)
Total time: 6.49 hours.
Scaled time: 51.11 units (timescale=7.880).
Factorization parameters were as follows:
n: 363934969271880764585265148519137592037754546993786114160554759576362836846989457714760916214747163079345111874837197707023
m: 1000000000000000000000000000000
deg: 5
c5: 1
c0: -73
skew: 2.36
# Murphy_E = 1.761e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 356584 x 356812
Total sieving time: 6.43 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 6.49 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10153-739

c128

name 名前Bob Backstrom
date 日付December 29, 2021 23:14:14 UTC 2021 年 12 月 30 日 (木) 8 時 14 分 14 秒 (日本時間)
composite number 合成数
10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827<128>
prime factors 素因数
242697971297185497019527534431731704935108017568923391<54>
43015046082550379505164228411671926042825580632979463484510975803570359997<74>
factorization results 素因数分解の結果
CADO

STA:Thu 30 Dec 2021 04:18:56 AEDT (10,439,664,419,489,923,460,543,957,611,533,702,980,981,781,591,898,863,164,725,467,028,294,209,225,455,888,744,093,033,681,595,429,800,778,566,075,656,995,065,583,989,827 - C128)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827 2>&1 | tee -a log128

Debug:root: Looking for parameter file for c128 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c130
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.bj5oeajq
Info:Database: Opened connection to database /tmp/cado.bj5oeajq/c130.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1043966441948992346054395761153370298098178159189886316472546702829420922545588874409
3033681595429800778566075656995065583989827
Debug:root: Root parameter dictionary:
N = 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827
lim0 = 11872741
lim1 = 45278470
lpb0 = 27
lpb1 = 28
name = c130
...
n: 10439664419489923460543957611533702980981781591898863164725467028294209225455888744093033681595429800778566075656995065583989827
skew: 34843.711
c0: 99389899353616180049391597496
c1: 13013678701868851708320911
c2: -606394214217264664938
c3: -8571827818172471
c4: 285894633962
c5: 1580040
Y0: 32917238492234023144170
Y1: 84116138185037381501
# MurphyE (Bf=4.53e+07,Bg=1.19e+07,area=6.08e+15) = 2.16e-09
# f(x) = 1580040*x^5+285894633962*x^4-8571827818172471*x^3-606394214217264664938*x^2+13013678701868851708320911*x+99389899353616180049391597496
# g(x) = 84116138185037381501*x+32917238492234023144170
...
Info:Square Root: finished
Info:Square Root: Factors: 242697971297185497019527534431731704935108017568923391 43015046082550379505164228411671926042825580632979463484510975803570359997
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 1715.81/236.777
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): 38585/37.750/45.312/50.110/0.871
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 38585/36.810/40.663/46.080/1.012
Info:Polynomial Selection (size optimized): Total time: 5825.71
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1854.61
Info:Polynomial Selection (root optimized): Rootsieve time: 1853.69
Info:Generate Factor Base: Total cpu/real time for makefb: 60.25/5.44591
Info:Generate Free Relations: Total cpu/real time for freerel: 303.19/20.3005
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 19270627
Info:Lattice Sieving: Average J: 7586.6 for 70543 special-q, max bucket fill: 0.64881
Info:Lattice Sieving: Total CPU time: 227749s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 50.49/69.1107
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 69.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 330.15/102.694
Info:Filtering - Singleton removal: Total cpu/real time for purge: 195.9/83.2426
Info:Filtering - Merging: Total cpu/real time for merge: 937.94/830.197
Info:Filtering - Merging: Total cpu/real time for replay: 63.06/50.5749
Info:Linear Algebra: Total cpu/real time for bwc: 56784.7/0.00016427
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 2489.8
Info:Linear Algebra: Lingen CPU time 363.68, WCT time 35.68
Info:Linear Algebra: Mksol: WCT time 1387.28
Info:Quadratic Characters: Total cpu/real time for characters: 57.82/13.8609
Info:Square Root: Total cpu/real time for sqrt: 1715.81/236.777
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 295929/21115.7
Info:root: Cleaning up computation data in /tmp/cado.bj5oeajq
242697971297185497019527534431731704935108017568923391 43015046082550379505164228411671926042825580632979463484510975803570359997

END:Thu 30 Dec 2021 10:10:53 AEDT (10,439,664,419,489,923,460,543,957,611,533,702,980,981,781,591,898,863,164,725,467,028,294,209,225,455,888,744,093,033,681,595,429,800,778,566,075,656,995,065,583,989,827 - C128)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10154-739

c95

name 名前Ignacio Santos
date 日付December 28, 2021 19:58:46 UTC 2021 年 12 月 29 日 (水) 4 時 58 分 46 秒 (日本時間)
composite number 合成数
27581682058919565747574210667375397956427620727606836753976427892006062211562335111721970448341<95>
prime factors 素因数
690297360893701679576672189462449<33>
39956232808438689925043346329022753754997473991459279957028709<62>
factorization results 素因数分解の結果
prp33 = 690297360893701679576672189462449
prp62 = 39956232808438689925043346329022753754997473991459279957028709
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10155-739

c131

name 名前Ignacio Santos
date 日付January 1, 2022 12:43:57 UTC 2022 年 1 月 1 日 (土) 21 時 43 分 57 秒 (日本時間)
composite number 合成数
54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487<131>
prime factors 素因数
12642754506743496451433107124881992097391134449587<50>
4273134707052979431206366926046818762717730214013291258314045788969748457662165701<82>
factorization results 素因数分解の結果
N=54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487
  ( 131 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=12642754506743496451433107124881992097391134449587 (pp50)
 r2=4273134707052979431206366926046818762717730214013291258314045788969748457662165701 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.32 hours.
Scaled time: 72.39 units (timescale=7.770).
Factorization parameters were as follows:
n: 54024193075516106175799152433450888617223971319340428694033391695510270654093921333432163659759354350367320886967998351255025015487
m: 10000000000000000000000000000000
deg: 5
c5: 1
c0: -73
skew: 2.36
# Murphy_E = 1.135e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 448562 x 448788
Total sieving time: 9.23 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,155.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 9.32 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10156-739

c146

name 名前ebina
date 日付December 29, 2021 03:13:39 UTC 2021 年 12 月 29 日 (水) 12 時 13 分 39 秒 (日本時間)
composite number 合成数
39960857478543679228793672425068068342590878767987410094004361101566989783722544031063523968543235139388819046520994043341915019786431363883615793<146>
prime factors 素因数
951686201336283640090657328822248234302186671463896741027<57>
41989531236697301675824911428894655467756966257100109141806849054480583824425900528677659<89>
factorization results 素因数分解の結果
01/25/17 12:15:28 v1.34.5   nfs: commencing snfs on c146: 39960857478543679228793672425068068342590878767987410094004361101566989783722544031063523968543235139388819046520994043341915019786431363883615793
01/25/17 12:15:28 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:21:42 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:28:04 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:34:17 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:40:42 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:46:54 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:53:17 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 12:59:31 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:05:24 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:11:17 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:17:15 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:23:04 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:28:54 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:34:51 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:40:46 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:46:30 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:52:26 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 13:58:16 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 14:04:06 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 14:10:05 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 14:15:42 v1.34.5   nfs: commencing lattice sieving with 4 threads
01/25/17 14:21:05 v1.34.5   nfs: commencing msieve filtering
01/25/17 14:24:30 v1.34.5   nfs: commencing msieve linear algebra
01/25/17 14:44:35 v1.34.5   nfs: commencing msieve sqrt
01/25/17 14:51:25 v1.34.5   prp89 = 41989531236697301675824911428894655467756966257100109141806849054480583824425900528677659
01/25/17 14:51:25 v1.34.5   prp57 = 951686201336283640090657328822248234302186671463896741027
01/25/17 14:51:25 v1.34.5   NFS elapsed time = 9357.3100 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10159-739

c149

name 名前Ignacio Santos
date 日付January 3, 2022 12:26:10 UTC 2022 年 1 月 3 日 (月) 21 時 26 分 10 秒 (日本時間)
composite number 合成数
19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599<149>
prime factors 素因数
26575654196096183549763329182836031048697<41>
724991359425223904763220588717527792418147544305668823178033353892755128104857412421883629586547640146420767<108>
factorization results 素因数分解の結果
N=19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599
  ( 149 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=26575654196096183549763329182836031048697 (pp41)
 r2=724991359425223904763220588717527792418147544305668823178033353892755128104857412421883629586547640146420767 (pp108)
Version: Msieve v. 1.52 (SVN 927)
Total time: 14.67 hours.
Scaled time: 114.41 units (timescale=7.800).
Factorization parameters were as follows:
n: 19267119663242428055357447322257561736122969625879493771204104978190609618797483991379591405762728206640522256150157574809697927417285326466029090599
m: 50000000000000000000000000000000
deg: 5
c5: 16
c0: -365
skew: 1.87
# Murphy_E = 5.929e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1600000, 2800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 547107 x 547332
Total sieving time: 14.55 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,159.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,50,50,2.4,2.4,100000
total time: 14.67 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10166-739

c113

name 名前Bob Backstrom
date 日付December 30, 2021 12:53:27 UTC 2021 年 12 月 30 日 (木) 21 時 53 分 27 秒 (日本時間)
composite number 合成数
38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069<113>
prime factors 素因数
3162997522967594707241823394191202905311007671<46>
12068699281052738510972913422240582406835041446141188495471805323939<68>
factorization results 素因数分解の結果
CADO

STA:Thu 30 Dec 2021 22:43:31 AEDT (38,173,265,931,410,603,009,161,123,958,357,057,773,965,404,857,100,137,175,997,191,256,644,241,899,835,479,387,454,829,923,646,283,062,758,668,936,069 - C113)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069 2>&1 | tee -a log131

Debug:root: Looking for parameter file for c113 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c115
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.y_7ao87c
Info:Database: Opened connection to database /tmp/cado.y_7ao87c/c115.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3817326593141060300916112395835705777396540485710013717599719125664424189983547938745
4829923646283062758668936069
Debug:root: Root parameter dictionary:
N = 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 38173265931410603009161123958357057773965404857100137175997191256644241899835479387454829923646283062758668936069
skew: 1258458.329
c0: 301134907715670866449553298705
c1: -1661305805499345217878043
c2: -9102168919815917
c3: 1254102732471
c4: 172260
Y0: -685916433064833482174848852
Y1: 106369921629401261
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 2.96e-09
# f(x) = 172260*x^4+1254102732471*x^3-9102168919815917*x^2-1661305805499345217878043*x+301134907715670866449553298705
# g(x) = 106369921629401261*x-685916433064833482174848852
...
Info:Square Root: finished
Info:Square Root: Factors: 3162997522967594707241823394191202905311007671 12068699281052738510972913422240582406835041446141188495471805323939
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 255.38/37.0131
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 55681.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 56232/38.230/42.996/48.970/0.652
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56232/37.060/42.151/44.010/1.022
Info:Polynomial Selection (size optimized): Total time: 1115.95
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 147.7
Info:Polynomial Selection (root optimized): Rootsieve time: 147
Info:Generate Factor Base: Total cpu/real time for makefb: 2.84/0.289623
Info:Generate Free Relations: Total cpu/real time for freerel: 53.09/3.42076
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6782443
Info:Lattice Sieving: Average J: 4096 for 56880 special-q, max bucket fill: 0.650973
Info:Lattice Sieving: Total CPU time: 51191.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.34/19.2413
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 88.83/26.7871
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.12/30.7041
Info:Filtering - Merging: Total cpu/real time for merge: 110.38/87.2742
Info:Filtering - Merging: Total cpu/real time for replay: 11.48/8.85752
Info:Linear Algebra: Total cpu/real time for bwc: 3061.08/0.000349283
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 121.35
Info:Linear Algebra: Lingen CPU time 74.08, WCT time 7.56
Info:Linear Algebra: Mksol: WCT time 73.08
Info:Quadratic Characters: Total cpu/real time for characters: 13.13/3.00252
Info:Square Root: Total cpu/real time for sqrt: 255.38/37.0131
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 56148.9/3906.93
Info:root: Cleaning up computation data in /tmp/cado.y_7ao87c
3162997522967594707241823394191202905311007671 12068699281052738510972913422240582406835041446141188495471805323939

END:Thu 30 Dec 2021 23:48:38 AEDT (38,173,265,931,410,603,009,161,123,958,357,057,773,965,404,857,100,137,175,997,191,256,644,241,899,835,479,387,454,829,923,646,283,062,758,668,936,069 - C113)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 29, 2021 21:07:47 UTC 2021 年 12 月 30 日 (木) 6 時 7 分 47 秒 (日本時間)

10167-739

c92

name 名前Ignacio Santos
date 日付December 28, 2021 19:54:43 UTC 2021 年 12 月 29 日 (水) 4 時 54 分 43 秒 (日本時間)
composite number 合成数
22203888869427135156907665561806268204885146675068148025315894443942979112882444100972069177<92>
prime factors 素因数
1822727702054622745377041283502675246090313599<46>
12181681797230806696673219575295902033994103623<47>
factorization results 素因数分解の結果
prp46 = 1822727702054622745377041283502675246090313599
prp47 = 12181681797230806696673219575295902033994103623
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10169-739

c148

name 名前Bob Backstrom
date 日付January 7, 2022 01:46:39 UTC 2022 年 1 月 7 日 (金) 10 時 46 分 39 秒 (日本時間)
composite number 合成数
1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261<148>
prime factors 素因数
13902426613088683824330841380756166679871016717829<50>
85763560981874170760242114499745138549981879011706486765663406115691962085324983075604583687856209<98>
factorization results 素因数分解の結果
Number: n
N=1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261  ( 148 digits)
SNFS difficulty: 169 digits.
Divisors found:

Fri Jan  7 12:42:18 2022  p50 factor: 13902426613088683824330841380756166679871016717829
Fri Jan  7 12:42:18 2022  p98 factor: 85763560981874170760242114499745138549981879011706486765663406115691962085324983075604583687856209
Fri Jan  7 12:42:18 2022  elapsed time 00:11:20 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.300).
Factorization parameters were as follows:
#
# N = 10^169-73 = 5(167)15
#
n: 1192321612627661722770600346028306206576576967942740813337189103642914817392183361707217272905202182269183698534647054596880300432684378808478650261
m: 5000000000000000000000000000000000
deg: 5
c5: 16
c0: -365
skew: 1.87
# Murphy_E = 2.409e-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 3031142 hash collisions in 22213572 relations (19960337 unique)
Msieve: matrix is 556906 x 557132 (186.2 MB)

Sieving start time : 2022/01/07 11:28:06
Sieving end time  : 2022/01/07 12:30:30

Total sieving time: 1hrs 2min 24secs.

Total relation processing time: 0hrs 4min 33sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

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) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 10:09:10 UTC 2022 年 1 月 5 日 (水) 19 時 9 分 10 秒 (日本時間)

10172-739

c144

name 名前Bob Backstrom
date 日付January 7, 2022 03:17:05 UTC 2022 年 1 月 7 日 (金) 12 時 17 分 5 秒 (日本時間)
composite number 合成数
502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403<144>
prime factors 素因数
8844760205016268692398266473103817865817<40>
1634391098746381707921091677038470834581248131<46>
34732865020637385070361639191398184402547040949081266924089<59>
factorization results 素因数分解の結果
Number: n
N=502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403  ( 144 digits)
SNFS difficulty: 172 digits.
Divisors found:

Fri Jan  7 14:12:12 2022  found factor: 34732865020637385070361639191398184402547040949081266924089
Fri Jan  7 14:12:43 2022  p40 factor: 8844760205016268692398266473103817865817
Fri Jan  7 14:12:43 2022  p46 factor: 1634391098746381707921091677038470834581248131
Fri Jan  7 14:12:43 2022  p59 factor: 34732865020637385070361639191398184402547040949081266924089
Fri Jan  7 14:12:43 2022  elapsed time 00:12:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.302).
Factorization parameters were as follows:
#
# N = 10^172-73 = 5(170)15
#
n: 502091258110206242663581644619018285867095615896928104363743443811909655928802333040467877831778791275864070825534744407330052225055817382332403
m: 10000000000000000000000000000000000
deg: 5
c5: 100
c0: -73
skew: 0.94
# Murphy_E = 1.947e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3044224 hash collisions in 21218888 relations (18864765 unique)
Msieve: matrix is 640648 x 640873 (215.2 MB)

Sieving start time : 2022/01/07 12:44:17
Sieving end time  : 2022/01/07 13:59:30

Total sieving time: 1hrs 15min 13secs.

Total relation processing time: 0hrs 6min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 4, 2022 17:37:56 UTC 2022 年 1 月 5 日 (水) 2 時 37 分 56 秒 (日本時間)

10174-739

c174

name 名前Bob Backstrom
date 日付January 3, 2022 20:55:31 UTC 2022 年 1 月 4 日 (火) 5 時 55 分 31 秒 (日本時間)
composite number 合成数
111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103<174>
prime factors 素因数
1282922164841570346333241269370298956075788800275993642060351354046689<70>
86607834953753691212952197730405367866944036445925568773914731766989464590995993402847642990081925754527<104>
factorization results 素因数分解の結果
Number: n
N=111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103  ( 174 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue Jan  4 07:32:34 2022  p70 factor: 1282922164841570346333241269370298956075788800275993642060351354046689
Tue Jan  4 07:32:34 2022  p104 factor: 86607834953753691212952197730405367866944036445925568773914731766989464590995993402847642990081925754527
Tue Jan  4 07:32:34 2022  elapsed time 00:13:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 10^174-73 = 5(172)15
#
n: 111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111103
m: 50000000000000000000000000000000000
deg: 5
c5: 16
c0: -365
skew: 1.87
# Murphy_E = 1.524e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2870356 hash collisions in 20585468 relations (18398410 unique)
Msieve: matrix is 748905 x 749130 (251.3 MB)

Sieving start time : 2022/01/04 04:45:14
Sieving end time  : 2022/01/04 07:18:04

Total sieving time: 2hrs 32min 50secs.

Total relation processing time: 0hrs 8min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 37sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239956K/16727236K available (14339K kernel code, 2400K rwdata, 5020K rodata, 2736K init, 4964K bss, 487280K reserved, 0K cma-reserved)
[    0.153541] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798280)
[    0.152035] smpboot: Total of 16 processors activated (102386.24 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10176-739

c107

name 名前Ignacio Santos
date 日付December 29, 2021 14:16:13 UTC 2021 年 12 月 29 日 (水) 23 時 16 分 13 秒 (日本時間)
composite number 合成数
13570075010736803082609885831053385978758951308395191011282027077257154868946029200749025128547053186573893<107>
prime factors 素因数
1679844328425801526069393795840897<34>
8078174138584289226201670296660503072100842907211107952898417467473616069<73>
factorization results 素因数分解の結果
prp73 = 8078174138584289226201670296660503072100842907211107952898417467473616069
prp34 = 1679844328425801526069393795840897
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10178-739

c107

name 名前Bob Backstrom
date 日付December 30, 2021 10:42:56 UTC 2021 年 12 月 30 日 (木) 19 時 42 分 56 秒 (日本時間)
composite number 合成数
29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587<107>
prime factors 素因数
770206609670988956595726051362890489081596977<45>
38675118032378174412743926125765397384089707886659100656026931<62>
factorization results 素因数分解の結果
CADO

STA:Thu 30 Dec 2021 21:09:53 AEDT (29,787,831,538,343,323,014,812,046,524,487,606,814,757,042,602,125,874,232,969,561,327,301,799,309,202,774,628,009,756,030,829,773,400,187,587 - C107)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587 2>&1 | tee -a log129

Debug:root: Looking for parameter file for c107 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.q9flqksy
Info:Database: Opened connection to database /tmp/cado.q9flqksy/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 2978783153834332301481204652448760681475704260212587423296956132730179930920277462800
9756030829773400187587
Debug:root: Root parameter dictionary:
N = 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 29787831538343323014812046524487606814757042602125874232969561327301799309202774628009756030829773400187587
skew: 2819050.843
c0: 177618910249768030735411363888
c1: -201987749819149268028834
c2: -99732949587780331
c3: -33950132256
c4: 5040
Y0: -49306751405144415235155813
Y1: 289994868526357
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 3.06e-09
# f(x) = 5040*x^4-33950132256*x^3-99732949587780331*x^2-201987749819149268028834*x+177618910249768030735411363888
# g(x) = 289994868526357*x-49306751405144415235155813
...
Info:Square Root: finished
Info:Square Root: Factors: 770206609670988956595726051362890489081596977 38675118032378174412743926125765397384089707886659100656026931
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11761/35.580/40.538/43.150/0.669
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11761/33.950/39.440/41.370/1.017
Info:Polynomial Selection (size optimized): Total time: 231.42
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 80.84
Info:Polynomial Selection (root optimized): Rootsieve time: 80.49
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/0.132184
Info:Generate Free Relations: Total cpu/real time for freerel: 12.86/0.859853
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2230214
Info:Lattice Sieving: Average J: 1024 for 300129 special-q, max bucket fill: 0.824219
Info:Lattice Sieving: Total CPU time: 20647.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.19/5.58212
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 5.099999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 36.56/19.1581
Info:Filtering - Singleton removal: Total cpu/real time for purge: 28.67/17.0608
Info:Filtering - Merging: Total cpu/real time for merge: 93.24/71.9999
Info:Filtering - Merging: Total cpu/real time for replay: 9.63/7.47627
Info:Linear Algebra: Total cpu/real time for bwc: 1972.21/0.000316381
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 77.82
Info:Linear Algebra: Lingen CPU time 56.84, WCT time 5.87
Info:Linear Algebra: Mksol: WCT time 47.29
Info:Quadratic Characters: Total cpu/real time for characters: 9.05/2.12433
Info:Square Root: Total cpu/real time for sqrt: 140.26/21.2724
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 23269.8/1757.11
Info:root: Cleaning up computation data in /tmp/cado.q9flqksy
770206609670988956595726051362890489081596977 38675118032378174412743926125765397384089707886659100656026931

END:Thu 30 Dec 2021 21:39:11 AEDT (29,787,831,538,343,323,014,812,046,524,487,606,814,757,042,602,125,874,232,969,561,327,301,799,309,202,774,628,009,756,030,829,773,400,187,587 - C107)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 29, 2021 21:07:35 UTC 2021 年 12 月 30 日 (木) 6 時 7 分 35 秒 (日本時間)

10179-739

c171

name 名前Bob Backstrom
date 日付January 15, 2022 16:07:34 UTC 2022 年 1 月 16 日 (日) 1 時 7 分 34 秒 (日本時間)
composite number 合成数
210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523<171>
prime factors 素因数
90984528544593902126339796376384140491590905780050720589593<59>
2308503220863082148247069208818834563292919481784014981380439857708711611481720211947200890864351717336348645011<112>
factorization results 素因数分解の結果
Number: n
N=210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523  ( 171 digits)
SNFS difficulty: 179 digits.
Divisors found:

Sun Jan 16 03:02:23 2022  p59 factor: 90984528544593902126339796376384140491590905780050720589593
Sun Jan 16 03:02:23 2022  p112 factor: 2308503220863082148247069208818834563292919481784014981380439857708711611481720211947200890864351717336348645011
Sun Jan 16 03:02:23 2022  elapsed time 00:25:41 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 10^179-73 = 5(177)15
#
n: 210038077193904059004535161066197723893391233605905837212101253921229743368609039363780045529491909552756281483276886965334973377852248038275339625322189746344764577970523
m: 500000000000000000000000000000000000
deg: 5
c5: 16
c0: -365
skew: 1.87
# Murphy_E = 9.604e-11
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4254688 hash collisions in 29641996 relations (26873540 unique)
Msieve: matrix is 977826 x 978051 (333.6 MB)

Sieving start time : 2022/01/15 23:56:05
Sieving end time  : 2022/01/16 02:35:41

Total sieving time: 2hrs 39min 36secs.

Total relation processing time: 0hrs 14min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 38sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 13:13:46 UTC 2022 年 1 月 5 日 (水) 22 時 13 分 46 秒 (日本時間)

10180-739

c119

name 名前Ignacio Santos
date 日付December 29, 2021 22:13:34 UTC 2021 年 12 月 30 日 (木) 7 時 13 分 34 秒 (日本時間)
composite number 合成数
42073644928982557536327617713350159975659609886561846219907831151762119351772710719553191057413415925866469780775183833<119>
prime factors 素因数
3730534203474263248976137455638639159<37>
11278182328364442593138245632425995721773723144693701300218737379085084070667903087<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1916037935
Step 1 took 4812ms
Step 2 took 2907ms
********** Factor found in step 2: 3730534203474263248976137455638639159
Found prime factor of 37 digits: 3730534203474263248976137455638639159
Prime cofactor 11278182328364442593138245632425995721773723144693701300218737379085084070667903087 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10181-739

c115

name 名前Ignacio Santos
date 日付December 29, 2021 21:21:20 UTC 2021 年 12 月 30 日 (木) 6 時 21 分 20 秒 (日本時間)
composite number 合成数
2397622565743917305694844969133197437092988024585086924005327311026931989792804851075982657956194122451413870660869<115>
prime factors 素因数
1193063321971470457040664932146359588031<40>
2009635634244442301156109433703295967906438727556943064932870164437564291899<76>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3874001393
Step 1 took 3531ms
Step 2 took 2735ms
********** Factor found in step 2: 1193063321971470457040664932146359588031
Found prime factor of 40 digits: 1193063321971470457040664932146359588031
Prime cofactor 2009635634244442301156109433703295967906438727556943064932870164437564291899 has 76 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10184-739

c142

name 名前Ray Chandler
date 日付January 30, 2022 18:12:50 UTC 2022 年 1 月 31 日 (月) 3 時 12 分 50 秒 (日本時間)
composite number 合成数
9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017<142>
prime factors 素因数
6831267159650074602251830066935461385806503286529505967<55>
1405764180590498673403483321381793066698773280927783701868931946602397238642233768831151<88>
factorization results 素因数分解の結果
01/30/22 08:51:58, 
01/30/22 08:51:58, ****************************
01/30/22 08:51:58, Starting factorization of 5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555515
01/30/22 08:51:58, using pretesting plan: normal
01/30/22 08:51:58, using specified qs/gnfs crossover of 100 digits
01/30/22 08:51:58, using specified qs/snfs crossover of 75 digits
01/30/22 08:51:58, ****************************
01/30/22 08:51:58, div: found prime factor = 5
01/30/22 08:51:58, div: found prime factor = 67
01/30/22 08:51:59, rho: x^2 + 3, starting 1000 iterations on C182
01/30/22 08:51:59, rho: x^2 + 2, starting 1000 iterations on C182
01/30/22 08:51:59, rho: x^2 + 1, starting 1000 iterations on C182
01/30/22 08:51:59, nfs: input divides 10^185 - 730
01/30/22 08:51:59, nfs: using supplied cofactor: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509
01/30/22 08:51:59, nfs: input divides 10^185 - 730
01/30/22 08:51:59, nfs: using supplied cofactor: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509
01/30/22 08:51:59, nfs: commencing snfs on c182: 16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509
01/30/22 08:51:59, pm1: starting B1 = 150K, B2 = gmp-ecm default on C182
01/30/22 08:51:59, prp14 = 14408480360971
01/30/22 08:51:59, nfs: input divides 10^185 - 730
01/30/22 08:51:59, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:51:59, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:51:59, current ECM pretesting depth: 0.00
01/30/22 08:51:59, scheduled 30 curves at B1=2000 toward target pretesting depth of 40.44
01/30/22 08:51:59, ecm: commencing 48 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=2k, B2=200k
01/30/22 08:51:59, ecm: finished 384 curves using AVX-ECM method on C169 input, B1=2k, B2=200k
01/30/22 08:51:59, nfs: input divides 10^185 - 730
01/30/22 08:52:00, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:52:00, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:52:00, current ECM pretesting depth: 17.27
01/30/22 08:52:00, scheduled 74 curves at B1=11000 toward target pretesting depth of 40.44
01/30/22 08:52:00, ecm: commencing 96 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=11k, B2=1100k
01/30/22 08:52:00, ecm: finished 384 curves using AVX-ECM method on C169 input, B1=11k, B2=1100k
01/30/22 08:52:00, nfs: input divides 10^185 - 730
01/30/22 08:52:00, nfs: using supplied cofactor: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:52:00, nfs: commencing snfs on c169: 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879
01/30/22 08:52:00, current ECM pretesting depth: 21.28
01/30/22 08:52:00, scheduled 214 curves at B1=50000 toward target pretesting depth of 40.44
01/30/22 08:52:01, ecm: commencing 240 curves using AVX-ECM method on 1150971338514835297409771726512949783227788831992754168941026549171410812727900446675715219293619562434524728179425134740520135011446240584098122885039750579116154078879, B1=50k, B2=5M
01/30/22 08:52:02, ecm: finished 0 curves using AVX-ECM method on C169 input, B1=50k, B2=5M
01/30/22 08:52:02, prp27 = 119853512325119644486964287 (curve=325 stg=2 B1=50000 B2=5000000 sigma=4260291199 thread=40 vecpos=5)
01/30/22 08:52:02, nfs: input divides 10^185 - 730
01/30/22 08:52:02, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:02, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:02, current ECM pretesting depth: 21.28
01/30/22 08:52:02, scheduled 214 curves at B1=50000 toward target pretesting depth of 33.98
01/30/22 08:52:02, ecm: commencing 240 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=50k, B2=5M
01/30/22 08:52:03, ecm: finished 384 curves using AVX-ECM method on C142 input, B1=50k, B2=5M
01/30/22 08:52:03, nfs: input divides 10^185 - 730
01/30/22 08:52:03, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:03, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:03, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C142
01/30/22 08:52:04, nfs: input divides 10^185 - 730
01/30/22 08:52:04, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:04, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:04, current ECM pretesting depth: 25.62
01/30/22 08:52:04, scheduled 430 curves at B1=250000 toward target pretesting depth of 33.98
01/30/22 08:52:06, ecm: commencing 432 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=250k, B2=25M
01/30/22 08:52:13, ecm: finished 768 curves using AVX-ECM method on C142 input, B1=250k, B2=25M
01/30/22 08:52:13, nfs: input divides 10^185 - 730
01/30/22 08:52:13, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:13, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:13, pm1: starting B1 = 15M, B2 = gmp-ecm default on C142
01/30/22 08:52:17, nfs: input divides 10^185 - 730
01/30/22 08:52:17, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:17, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:17, current ECM pretesting depth: 30.81
01/30/22 08:52:17, scheduled 575 curves at B1=1000000 toward target pretesting depth of 33.98
01/30/22 08:52:19, ecm: commencing 576 curves using AVX-ECM method on 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017, B1=1M, B2=100M
01/30/22 08:52:46, ecm: finished 768 curves using AVX-ECM method on C142 input, B1=1M, B2=100M
01/30/22 08:52:47, nfs: input divides 10^185 - 730
01/30/22 08:52:47, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:47, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:47, final ECM pretested depth: 35.50
01/30/22 08:52:47, scheduler: switching to sieve method
01/30/22 08:52:47, nfs: commencing nfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:47, nfs: input divides 10^185 - 730
01/30/22 08:52:47, nfs: using supplied cofactor: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:47, nfs: commencing snfs on c142: 9603150681080270405611520607347562191022576765517070800845436376991281406535907951979905247824762259569677446155706772912008419467179069978017
01/30/22 08:52:48, test: fb generation took 1.1916 seconds
01/30/22 08:52:48, test: commencing test sieving of polynomial 0 on the algebraic side over range 10500000-10501000
skew: 2.0000
c5: 1
c0: -730
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 08:53:56, nfs: parsing special-q from .dat file
01/30/22 08:53:56, test: new best estimated total sieving time = 2h 2m 33s (with 48 threads)
01/30/22 08:53:58, test: fb generation took 1.8898 seconds
01/30/22 08:53:58, test: commencing test sieving of polynomial 1 on the algebraic side over range 10500000-10501000
skew: 2.5766
c6: 16
c0: -1825
Y1: -1
Y0: 5000000000000000000000000000000
rlim: 10500000
alim: 10500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 08:54:48, nfs: parsing special-q from .dat file
01/30/22 08:54:48, test: estimated total sieving time = 2h 9m 41s (with 48 threads)
01/30/22 08:54:48, nfs: commencing lattice sieving with 48 threads
01/30/22 08:57:22, nfs: commencing lattice sieving with 48 threads
01/30/22 09:00:04, nfs: commencing lattice sieving with 48 threads
01/30/22 09:02:41, nfs: commencing lattice sieving with 48 threads
01/30/22 09:05:30, nfs: commencing lattice sieving with 48 threads
01/30/22 09:08:10, nfs: commencing lattice sieving with 48 threads
01/30/22 09:11:03, nfs: commencing lattice sieving with 48 threads
01/30/22 09:13:39, nfs: commencing lattice sieving with 48 threads
01/30/22 09:16:26, nfs: commencing lattice sieving with 48 threads
01/30/22 09:19:07, nfs: commencing lattice sieving with 48 threads
01/30/22 09:21:51, nfs: commencing lattice sieving with 48 threads
01/30/22 09:24:40, nfs: commencing lattice sieving with 48 threads
01/30/22 09:27:25, nfs: commencing lattice sieving with 48 threads
01/30/22 09:30:11, nfs: commencing lattice sieving with 48 threads
01/30/22 09:32:55, nfs: commencing lattice sieving with 48 threads
01/30/22 09:35:27, nfs: commencing lattice sieving with 48 threads
01/30/22 09:38:03, nfs: commencing lattice sieving with 48 threads
01/30/22 09:40:44, nfs: commencing lattice sieving with 48 threads
01/30/22 09:43:39, nfs: commencing lattice sieving with 48 threads
01/30/22 09:46:31, nfs: commencing lattice sieving with 48 threads
01/30/22 09:49:12, nfs: commencing lattice sieving with 48 threads
01/30/22 09:52:20, nfs: commencing lattice sieving with 48 threads
01/30/22 09:55:03, nfs: commencing lattice sieving with 48 threads
01/30/22 09:57:50, nfs: commencing lattice sieving with 48 threads
01/30/22 10:00:37, nfs: commencing lattice sieving with 48 threads
01/30/22 10:03:26, nfs: commencing lattice sieving with 48 threads
01/30/22 10:06:14, nfs: commencing lattice sieving with 48 threads
01/30/22 10:09:15, nfs: commencing lattice sieving with 48 threads
01/30/22 10:12:20, nfs: commencing lattice sieving with 48 threads
01/30/22 10:15:07, nfs: commencing lattice sieving with 48 threads
01/30/22 10:17:57, nfs: commencing lattice sieving with 48 threads
01/30/22 10:20:50, nfs: commencing lattice sieving with 48 threads
01/30/22 10:23:34, nfs: commencing lattice sieving with 48 threads
01/30/22 10:26:16, nfs: commencing lattice sieving with 48 threads
01/30/22 10:29:03, nfs: commencing lattice sieving with 48 threads
01/30/22 10:31:44, nfs: commencing lattice sieving with 48 threads
01/30/22 10:34:41, nfs: commencing lattice sieving with 48 threads
01/30/22 10:37:28, nfs: commencing lattice sieving with 48 threads
01/30/22 10:40:15, nfs: commencing lattice sieving with 48 threads
01/30/22 10:43:04, nfs: commencing lattice sieving with 48 threads
01/30/22 10:46:00, nfs: commencing lattice sieving with 48 threads
01/30/22 10:48:48, nfs: commencing lattice sieving with 48 threads
01/30/22 10:51:42, nfs: commencing lattice sieving with 48 threads
01/30/22 10:54:24, nfs: commencing lattice sieving with 48 threads
01/30/22 10:57:11, nfs: commencing msieve filtering
01/30/22 10:59:11, nfs: raising min_rels by 5.00 percent to 10659406
01/30/22 10:59:11, nfs: commencing lattice sieving with 48 threads
01/30/22 11:01:59, nfs: commencing lattice sieving with 48 threads
01/30/22 11:04:47, nfs: commencing lattice sieving with 48 threads
01/30/22 11:07:29, nfs: commencing msieve filtering
01/30/22 11:09:35, nfs: raising min_rels by 5.00 percent to 11326894
01/30/22 11:09:35, nfs: commencing lattice sieving with 48 threads
01/30/22 11:12:27, nfs: commencing lattice sieving with 48 threads
01/30/22 11:15:12, nfs: commencing lattice sieving with 48 threads
01/30/22 11:17:53, nfs: commencing msieve filtering
01/30/22 11:20:04, nfs: raising min_rels by 5.00 percent to 11999368
01/30/22 11:20:04, nfs: commencing lattice sieving with 48 threads
01/30/22 11:22:48, nfs: commencing lattice sieving with 48 threads
01/30/22 11:25:37, nfs: commencing lattice sieving with 48 threads
01/30/22 11:28:28, nfs: commencing msieve filtering
01/30/22 11:32:18, nfs: raising min_rels by 5.00 percent to 12660056
01/30/22 11:32:18, nfs: commencing lattice sieving with 48 threads
01/30/22 11:35:12, nfs: commencing lattice sieving with 48 threads
01/30/22 11:37:58, nfs: commencing lattice sieving with 48 threads
01/30/22 11:40:48, nfs: commencing msieve filtering
01/30/22 11:44:18, nfs: commencing msieve linear algebra
01/30/22 11:58:47, nfs: commencing msieve sqrt
01/30/22 12:01:01, prp88 = 1405764180590498673403483321381793066698773280927783701868931946602397238642233768831151
01/30/22 12:01:01, prp55 = 6831267159650074602251830066935461385806503286529505967
01/30/22 12:01:01, NFS elapsed time = 11294.2134 seconds.
01/30/22 12:01:01, 
01/30/22 12:01:01, 
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 22:25:07 UTC 2022 年 1 月 6 日 (木) 7 時 25 分 7 秒 (日本時間)

10185-739

c170

name 名前Bob Backstrom
date 日付January 6, 2022 13:45:03 UTC 2022 年 1 月 6 日 (木) 22 時 45 分 3 秒 (日本時間)
composite number 合成数
58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787<170>
prime factors 素因数
252067205798178234508659656946572960381<39>
231543754646687575805039840072126865138589731465425191565040289734907462709544203579718083414203093896979987580661922609146333677527<132>
factorization results 素因数分解の結果
Number: n
N=58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787  ( 170 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Jan  7 00:38:00 2022  p39 factor: 252067205798178234508659656946572960381
Fri Jan  7 00:38:00 2022  p132 factor: 231543754646687575805039840072126865138589731465425191565040289734907462709544203579718083414203093896979987580661922609146333677527
Fri Jan  7 00:38:00 2022  elapsed time 00:22:09 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 10^185-73 = 5(183)15
#
n: 58364587253809485036801367413141406291421376555237976412469957437935451450136145288527958065949794420093608626500362305043748039002121550744993001052859407081171001057787
m: 10000000000000000000000000000000000000
deg: 5
c5: 1
c0: -73
skew: 2.36
# Murphy_E = 7.351e-11
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3714898 hash collisions in 33292575 relations (31672291 unique)
Msieve: matrix is 914000 x 914234 (312.1 MB)

Sieving start time : 2022/01/06 21:42:59
Sieving end time  : 2022/01/07 00:15:12

Total sieving time: 2hrs 32min 13secs.

Total relation processing time: 0hrs 12min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 5, 2022 22:26:54 UTC 2022 年 1 月 6 日 (木) 7 時 26 分 54 秒 (日本時間)

10186-739

c157

name 名前Ray Chandler
date 日付January 31, 2022 20:35:03 UTC 2022 年 2 月 1 日 (火) 5 時 35 分 3 秒 (日本時間)
composite number 合成数
1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803<157>
prime factors 素因数
205647808516644598178587509306112028183707469<45>
5958512960553462952112138441459780972866649180015320852401584077267544431758714466555694423446657045086969809087<112>
factorization results 素因数分解の結果
01/31/22 11:31:02, 
01/31/22 11:31:02, ****************************
01/31/22 11:31:02, Starting factorization of 555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555515
01/31/22 11:31:02, using pretesting plan: normal
01/31/22 11:31:02, using specified qs/gnfs crossover of 100 digits
01/31/22 11:31:02, using specified qs/snfs crossover of 75 digits
01/31/22 11:31:02, ****************************
01/31/22 11:31:02, div: found prime factor = 5
01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C186
01/31/22 11:31:02, prp10 = 5781678589
01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C176
01/31/22 11:31:02, prp9 = 542069387
01/31/22 11:31:02, rho: x^2 + 3, starting 1000 iterations on C167
01/31/22 11:31:03, prp11 = 28932548507
01/31/22 11:31:03, rho: x^2 + 3, starting 1000 iterations on C157
01/31/22 11:31:03, rho: x^2 + 2, starting 1000 iterations on C157
01/31/22 11:31:03, rho: x^2 + 1, starting 1000 iterations on C157
01/31/22 11:31:03, nfs: input divides 10^187 - 730
01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:03, nfs: input divides 10^187 - 730
01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:03, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:03, pm1: starting B1 = 150K, B2 = gmp-ecm default on C157
01/31/22 11:31:03, nfs: input divides 10^187 - 730
01/31/22 11:31:03, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:03, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:03, current ECM pretesting depth: 0.00
01/31/22 11:31:03, scheduled 30 curves at B1=2000 toward target pretesting depth of 37.57
01/31/22 11:31:03, ecm: commencing 48 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=2k, B2=200k
01/31/22 11:31:04, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=2k, B2=200k
01/31/22 11:31:04, nfs: input divides 10^187 - 730
01/31/22 11:31:04, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:04, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:04, current ECM pretesting depth: 17.27
01/31/22 11:31:04, scheduled 74 curves at B1=11000 toward target pretesting depth of 37.57
01/31/22 11:31:04, ecm: commencing 96 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=11k, B2=1100k
01/31/22 11:31:04, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=11k, B2=1100k
01/31/22 11:31:04, nfs: input divides 10^187 - 730
01/31/22 11:31:04, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:04, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:04, current ECM pretesting depth: 21.28
01/31/22 11:31:04, scheduled 214 curves at B1=50000 toward target pretesting depth of 37.57
01/31/22 11:31:05, ecm: commencing 240 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=50k, B2=5M
01/31/22 11:31:06, ecm: finished 384 curves using AVX-ECM method on C157 input, B1=50k, B2=5M
01/31/22 11:31:06, nfs: input divides 10^187 - 730
01/31/22 11:31:06, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:06, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:06, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C157
01/31/22 11:31:07, nfs: input divides 10^187 - 730
01/31/22 11:31:07, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:07, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:07, current ECM pretesting depth: 25.62
01/31/22 11:31:07, scheduled 430 curves at B1=250000 toward target pretesting depth of 37.57
01/31/22 11:31:08, ecm: commencing 432 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=250k, B2=25M
01/31/22 11:31:15, ecm: finished 768 curves using AVX-ECM method on C157 input, B1=250k, B2=25M
01/31/22 11:31:15, nfs: input divides 10^187 - 730
01/31/22 11:31:15, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:15, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:15, pm1: starting B1 = 15M, B2 = gmp-ecm default on C157
01/31/22 11:31:19, nfs: input divides 10^187 - 730
01/31/22 11:31:19, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:19, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:31:19, current ECM pretesting depth: 30.81
01/31/22 11:31:19, scheduled 904 curves at B1=1000000 toward target pretesting depth of 37.57
01/31/22 11:31:21, ecm: commencing 912 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=1M, B2=100M
01/31/22 11:32:01, ecm: finished 1152 curves using AVX-ECM method on C157 input, B1=1M, B2=100M
01/31/22 11:32:02, nfs: input divides 10^187 - 730
01/31/22 11:32:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:32:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:32:02, current ECM pretesting depth: 35.72
01/31/22 11:32:02, scheduled 869 curves at B1=3000000 toward target pretesting depth of 37.57
01/31/22 11:32:03, ecm: commencing 912 curves using AVX-ECM method on 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803, B1=3M, B2=300M
01/31/22 11:34:01, ecm: finished 1152 curves using AVX-ECM method on C157 input, B1=3M, B2=300M
01/31/22 11:34:02, nfs: input divides 10^187 - 730
01/31/22 11:34:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:34:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:34:02, final ECM pretested depth: 38.18
01/31/22 11:34:02, scheduler: switching to sieve method
01/31/22 11:34:02, nfs: commencing nfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:34:02, nfs: input divides 10^187 - 730
01/31/22 11:34:02, nfs: using supplied cofactor: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:34:02, nfs: commencing snfs on c157: 1225355132355843657158119953874039990493889928674218720408775834381839596841748946922339170607183628898066406386013547663451196549912281181340506942785970803
01/31/22 11:34:03, test: fb generation took 1.3881 seconds
01/31/22 11:34:03, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000
skew: 1.9942
c5: 10
c0: -73
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 11:35:12, nfs: parsing special-q from .dat file
01/31/22 11:35:12, test: new best estimated total sieving time = 1h 42m 57s (with 48 threads)
01/31/22 11:35:13, test: fb generation took 1.3870 seconds
01/31/22 11:35:13, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000
skew: 4.0479
c5: 5
c0: -1168
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 11:36:21, nfs: parsing special-q from .dat file
01/31/22 11:36:21, test: estimated total sieving time = 1h 49m 15s (with 48 threads)
01/31/22 11:36:23, test: fb generation took 1.9302 seconds
01/31/22 11:36:23, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000
skew: 2.4123
c6: 1
c0: -73
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 11:37:45, nfs: parsing special-q from .dat file
01/31/22 11:37:45, test: estimated total sieving time = 2h 8m 53s (with 48 threads)
01/31/22 11:37:45, nfs: commencing lattice sieving with 48 threads
01/31/22 11:40:23, nfs: commencing lattice sieving with 48 threads
01/31/22 11:43:01, nfs: commencing lattice sieving with 48 threads
01/31/22 11:45:35, nfs: commencing lattice sieving with 48 threads
01/31/22 11:48:14, nfs: commencing lattice sieving with 48 threads
01/31/22 11:50:42, nfs: commencing lattice sieving with 48 threads
01/31/22 11:53:17, nfs: commencing lattice sieving with 48 threads
01/31/22 11:55:56, nfs: commencing lattice sieving with 48 threads
01/31/22 11:58:34, nfs: commencing lattice sieving with 48 threads
01/31/22 12:01:07, nfs: commencing lattice sieving with 48 threads
01/31/22 12:03:44, nfs: commencing lattice sieving with 48 threads
01/31/22 12:06:24, nfs: commencing lattice sieving with 48 threads
01/31/22 12:09:06, nfs: commencing lattice sieving with 48 threads
01/31/22 12:11:42, nfs: commencing lattice sieving with 48 threads
01/31/22 12:14:22, nfs: commencing lattice sieving with 48 threads
01/31/22 12:16:58, nfs: commencing lattice sieving with 48 threads
01/31/22 12:19:29, nfs: commencing lattice sieving with 48 threads
01/31/22 12:22:13, nfs: commencing lattice sieving with 48 threads
01/31/22 12:24:47, nfs: commencing lattice sieving with 48 threads
01/31/22 12:27:25, nfs: commencing lattice sieving with 48 threads
01/31/22 12:30:08, nfs: commencing lattice sieving with 48 threads
01/31/22 12:32:47, nfs: commencing lattice sieving with 48 threads
01/31/22 12:35:30, nfs: commencing lattice sieving with 48 threads
01/31/22 12:38:14, nfs: commencing lattice sieving with 48 threads
01/31/22 12:40:50, nfs: commencing lattice sieving with 48 threads
01/31/22 12:43:28, nfs: commencing lattice sieving with 48 threads
01/31/22 12:46:13, nfs: commencing lattice sieving with 48 threads
01/31/22 12:48:58, nfs: commencing lattice sieving with 48 threads
01/31/22 12:51:36, nfs: commencing lattice sieving with 48 threads
01/31/22 12:54:18, nfs: commencing lattice sieving with 48 threads
01/31/22 12:57:02, nfs: commencing lattice sieving with 48 threads
01/31/22 12:59:39, nfs: commencing lattice sieving with 48 threads
01/31/22 13:02:22, nfs: commencing lattice sieving with 48 threads
01/31/22 13:05:01, nfs: commencing lattice sieving with 48 threads
01/31/22 13:07:41, nfs: commencing lattice sieving with 48 threads
01/31/22 13:10:23, nfs: commencing lattice sieving with 48 threads
01/31/22 13:13:06, nfs: commencing lattice sieving with 48 threads
01/31/22 13:15:46, nfs: commencing lattice sieving with 48 threads
01/31/22 13:18:22, nfs: commencing msieve filtering
01/31/22 13:20:19, nfs: raising min_rels by 5.00 percent to 10784556
01/31/22 13:20:20, nfs: commencing lattice sieving with 48 threads
01/31/22 13:22:57, nfs: commencing lattice sieving with 48 threads
01/31/22 13:25:37, nfs: commencing msieve filtering
01/31/22 13:27:42, nfs: raising min_rels by 5.00 percent to 11334083
01/31/22 13:27:42, nfs: commencing lattice sieving with 48 threads
01/31/22 13:30:21, nfs: commencing lattice sieving with 48 threads
01/31/22 13:33:02, nfs: commencing lattice sieving with 48 threads
01/31/22 13:35:38, nfs: commencing msieve filtering
01/31/22 13:37:53, nfs: raising min_rels by 5.00 percent to 12155488
01/31/22 13:37:53, nfs: commencing lattice sieving with 48 threads
01/31/22 13:40:33, nfs: commencing lattice sieving with 48 threads
01/31/22 13:43:15, nfs: commencing lattice sieving with 48 threads
01/31/22 13:45:54, nfs: commencing msieve filtering
01/31/22 13:49:47, nfs: raising min_rels by 5.00 percent to 12975787
01/31/22 13:49:47, nfs: commencing lattice sieving with 48 threads
01/31/22 13:52:24, nfs: commencing lattice sieving with 48 threads
01/31/22 13:55:08, nfs: commencing lattice sieving with 48 threads
01/31/22 13:57:46, nfs: commencing msieve filtering
01/31/22 14:01:23, nfs: commencing msieve linear algebra
01/31/22 14:16:21, nfs: commencing msieve sqrt
01/31/22 14:19:56, prp112 = 5958512960553462952112138441459780972866649180015320852401584077267544431758714466555694423446657045086969809087
01/31/22 14:19:56, prp45 = 205647808516644598178587509306112028183707469
01/31/22 14:19:56, NFS elapsed time = 9954.7493 seconds.
01/31/22 14:19:56, 
01/31/22 14:19:56, 
01/31/22 14:19:56, Total factoring time = 10134.0651 seconds
software ソフトウェア
YAFU Version 2.07
Built with GCC 9
Using GMP-ECM 7.0.5-dev, Powered by GMP 6.2.1
Detected Intel(R) Xeon(R) Gold 6248R CPU @ 3.00GHz
Detected L1 = 32768 bytes, L2 = 37486592 bytes, CL = 64 bytes
Using 1 random witness for Rabin-Miller PRP checks
Cached 664579 primes; max prime is 9999991
execution environment 実行環境
Ubuntu 20.04.3 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 11:30:53 UTC 2022 年 1 月 6 日 (木) 20 時 30 分 53 秒 (日本時間)

10189-739

c180

name 名前Ignacio Santos
date 日付January 6, 2022 16:56:17 UTC 2022 年 1 月 7 日 (金) 1 時 56 分 17 秒 (日本時間)
composite number 合成数
194173145192006024349207165232861386125381249917261609251528782987150644349495057988311765777442845412865763514281440751152971447067929653695494551794067755542713836929024160332811<180>
prime factors 素因数
343719782051246735883646441704191851<36>
composite cofactor 合成数の残り
564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:579206407
Step 1 took 5984ms
Step 2 took 3375ms
********** Factor found in step 2: 343719782051246735883646441704191851
Found prime factor of 36 digits: 343719782051246735883646441704191851
Composite cofactor 564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961 has 144 digits
 
software ソフトウェア
GMP-ECM

c144

name 名前Ignacio Santos
date 日付January 8, 2022 09:11:20 UTC 2022 年 1 月 8 日 (土) 18 時 11 分 20 秒 (日本時間)
composite number 合成数
564916991490050091123741093516395812986367964971193905730395890067920523079969749908717691772711001282164726204416233426458906970158770428564961<144>
prime factors 素因数
3459547157735500749652271544716063293027<40>
163292178349673113455757438964816530090654988614377204839264027357125896915357471497636710504201463102443<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:626503111
Step 1 took 5844ms
Step 2 took 3390ms
********** Factor found in step 2: 3459547157735500749652271544716063293027
Found prime factor of 40 digits: 3459547157735500749652271544716063293027
Prime cofactor 163292178349673113455757438964816530090654988614377204839264027357125896915357471497636710504201463102443 has 105 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10190-739

c160

name 名前Bob Backstrom
date 日付February 2, 2022 14:39:41 UTC 2022 年 2 月 2 日 (水) 23 時 39 分 41 秒 (日本時間)
composite number 合成数
2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677<160>
prime factors 素因数
1882131812772601629412959234352849765090224518405994081560100650529823<70>
1536115724859118146938812660019838811635617596102854492221738372209146058645737228293434499<91>
factorization results 素因数分解の結果
Number: n
N=2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677  ( 160 digits)
SNFS difficulty: 190 digits.
Divisors found:

Thu Feb  3 01:34:21 2022  p70 factor: 1882131812772601629412959234352849765090224518405994081560100650529823
Thu Feb  3 01:34:21 2022  p91 factor: 1536115724859118146938812660019838811635617596102854492221738372209146058645737228293434499
Thu Feb  3 01:34:21 2022  elapsed time 00:29:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.309).
Factorization parameters were as follows:
#
# N = 10^190-73 = 5(188)15
#
n: 2891172273857590994613053374375261463492113586776430995508123221205593231220952733327672883533653734964188514740521330103804748776708553281411908128436696563677
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -73
skew: 2.36
# Murphy_E = 4.586e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4612110 hash collisions in 39231150 relations (36096676 unique)
Msieve: matrix is 1073947 x 1074173 (364.7 MB)

Sieving start time : 2022/02/02 21:10:16
Sieving end time  : 2022/02/03 01:04:34

Total sieving time: 3hrs 54min 18secs.

Total relation processing time: 0hrs 18min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 53sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 6, 2022 17:26:23 UTC 2022 年 1 月 7 日 (金) 2 時 26 分 23 秒 (日本時間)

10191-739

c190

name 名前Bob Backstrom
date 日付January 8, 2022 16:22:20 UTC 2022 年 1 月 9 日 (日) 1 時 22 分 20 秒 (日本時間)
composite number 合成数
3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<190>
prime factors 素因数
881808648981918170324674703152770892736717734700864502990957249450526982927134443246404422883<93>
4200121770159287233490663709115984179719332734929719922328442080631127917658300069447058566225447<97>
factorization results 素因数分解の結果
Number: n
N=3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701  ( 190 digits)
SNFS difficulty: 191 digits.
Divisors found:

Sun Jan  9 03:06:52 2022  p93 factor: 881808648981918170324674703152770892736717734700864502990957249450526982927134443246404422883
Sun Jan  9 03:06:52 2022  p97 factor: 4200121770159287233490663709115984179719332734929719922328442080631127917658300069447058566225447
Sun Jan  9 03:06:52 2022  elapsed time 00:36:32 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 10^191-73 = 5(189)15
#
n: 3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701
m: 100000000000000000000000000000000000000
deg: 5
c5: 10
c0: -73
skew: 1.49
# Murphy_E = 3.43e-11
type: snfs
lss: 1
rlim: 10700000
alim: 10700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10700000/10700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 25350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3869811 hash collisions in 30884377 relations (28763571 unique)
Msieve: matrix is 1252077 x 1252302 (433.0 MB)

Sieving start time : 2022/01/08 19:07:28
Sieving end time  : 2022/01/09 02:27:09

Total sieving time: 7hrs 19min 41secs.

Total relation processing time: 0hrs 27min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 16sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10700000,10700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10192-739

c190

name 名前Bob Backstrom
date 日付January 8, 2022 08:10:04 UTC 2022 年 1 月 8 日 (土) 17 時 10 分 4 秒 (日本時間)
composite number 合成数
4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961<190>
prime factors 素因数
162061841989221300138041271294559737966818611474348961381607665997564433<72>
29809101359698470059419531608037250678498926174815322326303520772688591099652205722864594143833385273894114215104414217<119>
factorization results 素因数分解の結果
Number: n
N=4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961  ( 190 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Jan  8 19:04:46 2022  p72 factor: 162061841989221300138041271294559737966818611474348961381607665997564433
Sat Jan  8 19:04:46 2022  p119 factor: 29809101359698470059419531608037250678498926174815322326303520772688591099652205722864594143833385273894114215104414217
Sat Jan  8 19:04:46 2022  elapsed time 00:39:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 10^192-73 = 5(190)15
#
n: 4830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961352657004830917874396135265700483091787439613526570048309178743961
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: -73
skew: 0.94
# Murphy_E = 3.017e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3742214 hash collisions in 30710314 relations (28734449 unique)
Msieve: matrix is 1311838 x 1312064 (456.7 MB)

Sieving start time : 2022/01/08 14:11:03
Sieving end time  : 2022/01/08 18:24:15

Total sieving time: 4hrs 13min 12secs.

Total relation processing time: 0hrs 30min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153509] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798736)
[    0.152038] smpboot: Total of 16 processors activated (102389.88 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10193-739

c148

name 名前Eric Jeancolas
date 日付February 2, 2022 17:34:34 UTC 2022 年 2 月 3 日 (木) 2 時 34 分 34 秒 (日本時間)
composite number 合成数
1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163<148>
prime factors 素因数
123670648184276514600044681276073439098213242857282323867286155659993<69>
10405559829057568974187133512802725382866616517569073505525051815513364485112691<80>
factorization results 素因数分解の結果
1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163=123670648184276514600044681276073439098213242857282323867286155659993*10405559829057568974187133512802725382866616517569073505525051815513364485112691

cado polynomial
n: 1286862328779819082103383621794552485158777898784123235732850366457144572537013987071187648295521753802177625222750637181679415544245485716085271163
skew: 1.39
type: snfs
c0: -73
c6: 10
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 10*x^6-73
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11500000
tasks.lim1 = 11500000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 123670648184276514600044681276073439098213242857282323867286155659993 10405559829057568974187133512802725382866616517569073505525051815513364485112691
Info:Square Root: Total cpu/real time for sqrt: 958.68/284.102
Info:Filtering - Singleton removal: Total cpu/real time for purge: 312.76/369.287
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24424720
Info:Lattice Sieving: Average J: 1895.11 for 1588546 special-q, max bucket fill -bkmult 1.0,1s:1.193860
Info:Lattice Sieving: Total time: 311093s
Info:Linear Algebra: Total cpu/real time for bwc: 61609.3/15832
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39413.69, WCT time 10067.4, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60160 iterations)
Info:Linear Algebra: Lingen CPU time 383.44, WCT time 97.48
Info:Linear Algebra: Mksol: CPU time 21452.88,  WCT time 5517.68, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30208 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 180.84/46.9148
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 101.24/116.647
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 116.1s
Info:Filtering - Merging: Merged matrix has 1922535 rows and total weight 327015292 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 521.95/145.001
Info:Filtering - Merging: Total cpu/real time for replay: 76.74/65.6551
Info:Generate Factor Base: Total cpu/real time for makefb: 7.5/3.13536
Info:Quadratic Characters: Total cpu/real time for characters: 68.61/29.0869
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 427.8/423.43
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 348.2999999999999s
Info:Square Root: Total cpu/real time for sqrt: 958.68/284.102
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 642760/172614
Info:root: Cleaning up computation data in /tmp/cado.hjf65oyo
123670648184276514600044681276073439098213242857282323867286155659993 10405559829057568974187133512802725382866616517569073505525051815513364485112691
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 8, 2022 12:06:07 UTC 2022 年 1 月 8 日 (土) 21 時 6 分 7 秒 (日本時間)
4511e64480Ray ChandlerFebruary 1, 2022 22:55:45 UTC 2022 年 2 月 2 日 (水) 7 時 55 分 45 秒 (日本時間)

10194-739

c161

name 名前Bob Backstrom
date 日付February 5, 2022 02:14:44 UTC 2022 年 2 月 5 日 (土) 11 時 14 分 44 秒 (日本時間)
composite number 合成数
11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623<161>
prime factors 素因数
3649343520834730143991677989966736018921641807381941719152141436691710291778651<79>
3111919409693923872981197591848039647073186871560238802330592152803974712602161173<82>
factorization results 素因数分解の結果
Number: n
N=11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623  ( 161 digits)
SNFS difficulty: 194 digits.
Divisors found:

Sat Feb  5 13:09:14 2022  p79 factor: 3649343520834730143991677989966736018921641807381941719152141436691710291778651
Sat Feb  5 13:09:14 2022  p82 factor: 3111919409693923872981197591848039647073186871560238802330592152803974712602161173
Sat Feb  5 13:09:14 2022  elapsed time 00:47:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.312).
Factorization parameters were as follows:
#
# N = 10^194-73 = 5(192)15
#
n: 11356462935126359206181543159518699326113766299982241235733322804645420381326639048817426088391733585513273351962044254927525031705528209347314414147116742517623
m: 500000000000000000000000000000000000000
deg: 5
c5: 16
c0: -365
skew: 1.87
# Murphy_E = 2.339e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5970910 hash collisions in 44438117 relations (40004733 unique)
Msieve: matrix is 1397220 x 1397449 (471.8 MB)

Sieving start time : 2022/02/05 03:24:22
Sieving end time  : 2022/02/05 12:19:45

Total sieving time: 8hrs 55min 23secs.

Total relation processing time: 0hrs 34min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 13sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116821] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.152622] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.24 BogoMIPS (lpj=12798480)
[    0.150214] smpboot: Total of 16 processors activated (102387.84 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 10, 2022 20:01:05 UTC 2022 年 1 月 11 日 (火) 5 時 1 分 5 秒 (日本時間)
4511e64480Ignacio SantosJanuary 31, 2022 22:17:28 UTC 2022 年 2 月 1 日 (火) 7 時 17 分 28 秒 (日本時間)

10196-739

c134

name 名前Eric Jeancolas
date 日付January 7, 2022 10:40:28 UTC 2022 年 1 月 7 日 (金) 19 時 40 分 28 秒 (日本時間)
composite number 合成数
19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283<134>
prime factors 素因数
38885530142055003930098750026610741708676504492774363965537822521<65>
495743257278636957005733905102763690962127972884736568920739278830323<69>
factorization results 素因数分解の結果
19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283=38885530142055003930098750026610741708676504492774363965537822521*495743257278636957005733905102763690962127972884736568920739278830323

cado polynomial
n: 19277239373628966111791904631231802682489987140058184311965511667441077392296456683150207370986419104692686117915047728634941247104283
skew: 259046.584
c0: -12643711485926396138128149546966
c1: -300207178814077801050874985
c2: -628681643583097329898
c3: 7764197574879865
c4: -1902999786
c5: 15120
Y0: -76097541391169359359625313
Y1: 471265942015147961
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.435e-07
# f(x) = 15120*x^5-1902999786*x^4+7764197574879865*x^3-628681643583097329898*x^2-300207178814077801050874985*x-12643711485926396138128149546966
# g(x) = 471265942015147961*x-76097541391169359359625313

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 38885530142055003930098750026610741708676504492774363965537822521 495743257278636957005733905102763690962127972884736568920739278830323
Info:Square Root: Total cpu/real time for sqrt: 385.49/116.029
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 75.13/87.7909
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 247.33/62.5491
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54335/39.610/47.888/52.660/0.978
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44410/38.910/42.701/48.500/1.010
Info:Polynomial Selection (size optimized): Total time: 11211.7
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 198.11/168.597
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 155.3s
Info:Linear Algebra: Total cpu/real time for bwc: 23405/6006.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14870.51, WCT time 3804.52, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (38400 iterations)
Info:Linear Algebra: Lingen CPU time 233.22, WCT time 59.1
Info:Linear Algebra: Mksol: CPU time 8093.09,  WCT time 2066.07, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19200 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.0296
Info:Quadratic Characters: Total cpu/real time for characters: 40.9/16.8975
Info:Filtering - Singleton removal: Total cpu/real time for purge: 92.72/100.482
Info:Square Root: Total cpu/real time for sqrt: 385.49/116.029
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6328.22
Info:Polynomial Selection (root optimized): Rootsieve time: 6325.77
Info:Filtering - Merging: Merged matrix has 1224677 rows and total weight 208526277 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 311.3/86.9343
Info:Filtering - Merging: Total cpu/real time for replay: 45.08/37.9791
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17015461
Info:Lattice Sieving: Average J: 3793.44 for 544908 special-q, max bucket fill -bkmult 1.0,1s:1.152510
Info:Lattice Sieving: Total time: 182555s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 384154/103374
38885530142055003930098750026610741708676504492774363965537822521 495743257278636957005733905102763690962127972884736568920739278830323
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:27:49 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 49 秒 (日本時間)

10197-739

c172

name 名前Bob Backstrom
date 日付January 25, 2022 06:27:33 UTC 2022 年 1 月 25 日 (火) 15 時 27 分 33 秒 (日本時間)
composite number 合成数
1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229<172>
prime factors 素因数
96808802064158126425377536421850265903815557126254023003<56>
11506726943775565543261445594807969816319740792826102556105206968826632684126478394971829570413456180931522794834743<116>
factorization results 素因数分解の結果
Number: n
N=1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229  ( 172 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Jan 25 17:23:01 2022  p56 factor: 96808802064158126425377536421850265903815557126254023003
Tue Jan 25 17:23:01 2022  p116 factor: 11506726943775565543261445594807969816319740792826102556105206968826632684126478394971829570413456180931522794834743
Tue Jan 25 17:23:01 2022  elapsed time 00:59:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 10^197-73 = 5(195)15
#
n: 1113952451106283899116670530289539684097285207639033373661979660900041845136854774500778920036746771079024770633873873773805769990569850971518124316715976403735492305593229
m: 1000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -73
skew: 0.94
# Murphy_E = 1.872e-11
type: snfs
lss: 1
rlim: 13400000
alim: 13400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13400000/13400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4981310 hash collisions in 34434323 relations (31260928 unique)
Msieve: matrix is 1538967 x 1539192 (535.1 MB)

Sieving start time : 2022/01/25 09:10:45
Sieving end time  : 2022/01/25 16:23:12

Total sieving time: 7hrs 12min 27secs.

Total relation processing time: 0hrs 47min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 57sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13400000,13400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 12, 2022 20:35:25 UTC 2022 年 1 月 13 日 (木) 5 時 35 分 25 秒 (日本時間)

10198-739

c193

name 名前Bob Backstrom
date 日付January 17, 2022 02:39:42 UTC 2022 年 1 月 17 日 (月) 11 時 39 分 42 秒 (日本時間)
composite number 合成数
4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399<193>
prime factors 素因数
177526310949663795408806335799655562239445391<45>
26177692201583506496507179496084040902039907710972155864849<59>
968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161<90>
factorization results 素因数分解の結果
Number: n
N=4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399  ( 193 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Jan 17 13:31:21 2022  found factor: 968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161
Mon Jan 17 13:34:26 2022  p45 factor: 177526310949663795408806335799655562239445391
Mon Jan 17 13:34:26 2022  p59 factor: 26177692201583506496507179496084040902039907710972155864849
Mon Jan 17 13:34:26 2022  p90 factor: 968097733765517673582957430703530715048424058384614888984422614840306701896435900743713161
Mon Jan 17 13:34:26 2022  elapsed time 01:36:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 10^198-73 = 5(196)15
#
n: 4498971984901450018670733737341017577483545009965222946556711791355675228210353934126052197072968826623116617852820630485933964089205616516625950970203308543997696526343730457590440584326481399
m: 1000000000000000000000000000000000000000
deg: 5
c5: 1000
c0: -73
skew: 0.59
# Murphy_E = 1.368e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3781013 hash collisions in 27477384 relations (25090347 unique)
Msieve: matrix is 2007770 x 2007995 (700.4 MB)

Sieving start time : 2022/01/17 04:27:20
Sieving end time  : 2022/01/17 11:57:11

Total sieving time: 7hrs 29min 51secs.

Total relation processing time: 1hrs 21min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 7sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14000000,14000000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 13, 2022 19:02:55 UTC 2022 年 1 月 14 日 (金) 4 時 2 分 55 秒 (日本時間)

10199-739

c133

name 名前Eric Jeancolas
date 日付January 6, 2022 03:29:59 UTC 2022 年 1 月 6 日 (木) 12 時 29 分 59 秒 (日本時間)
composite number 合成数
1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503<133>
prime factors 素因数
7856419879245770799066196227932812652983<40>
135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441<93>
factorization results 素因数分解の結果
1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503=7856419879245770799066196227932812652983*135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441

cado polynomial
n: 1063007020885655501516028898214837027866203640019115923606811618783032810158027726585104086614279812407473732370057885807599594374503
skew: 42070.203
c0: -1099339224468582215910912904
c1: 1693761142987548040766629
c2: 188973419981845042114
c3: -2557473514289201
c4: -47995289062
c5: -199920
Y0: -24608528899722475754603954
Y1: 17645471446871435579
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.711e-07
# f(x) = -199920*x^5-47995289062*x^4-2557473514289201*x^3+188973419981845042114*x^2+1693761142987548040766629*x-1099339224468582215910912904
# g(x) = 17645471446871435579*x-24608528899722475754603954

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7856419879245770799066196227932812652983 135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441
Info:Square Root: Total cpu/real time for sqrt: 375.13/113.979
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 194.86/165.559
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.9s
Info:Square Root: Total cpu/real time for sqrt: 375.13/113.979
Info:Filtering - Singleton removal: Total cpu/real time for purge: 100.2/103.528
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17013988
Info:Lattice Sieving: Average J: 3786.88 for 474173 special-q, max bucket fill -bkmult 1.0,1s:1.166770
Info:Lattice Sieving: Total time: 159439s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.19/4.0392
Info:Linear Algebra: Total cpu/real time for bwc: 20297.7/5216.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 12873.61, WCT time 3296.93, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Linear Algebra: Lingen CPU time 225.64, WCT time 57.17
Info:Linear Algebra: Mksol: CPU time 7009.81,  WCT time 1792.28, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.19/62.8467
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 73.84/85.5073
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5583.66
Info:Polynomial Selection (root optimized): Rootsieve time: 5581.19
Info:Filtering - Merging: Merged matrix has 1143641 rows and total weight 194711963 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 291.53/81.1404
Info:Filtering - Merging: Total cpu/real time for replay: 41.42/35.5723
Info:Quadratic Characters: Total cpu/real time for characters: 38.06/15.2964
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54056/38.930/47.429/52.100/0.990
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44154/38.360/42.210/48.010/0.947
Info:Polynomial Selection (size optimized): Total time: 11187.4
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 336686/90606.5
Info:root: Cleaning up computation data in /tmp/cado.kwoo45ll
7856419879245770799066196227932812652983 135304252728878579225665880207042405242978910154727218099740488592095633158602974964682623441
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:27:16 UTC 2021 年 12 月 30 日 (木) 22 時 27 分 16 秒 (日本時間)

10201-739

c178

name 名前Bob Backstrom
date 日付January 19, 2022 08:49:45 UTC 2022 年 1 月 19 日 (水) 17 時 49 分 45 秒 (日本時間)
composite number 合成数
1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443<178>
prime factors 素因数
2708959763121885886107642555247713471774811621943956213<55>
554752016485434990887431817583544324695040265865019773124991905225663440925769175834976857252852990825435410607295252040711<123>
factorization results 素因数分解の結果
Number: n
N=1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443  ( 178 digits)
SNFS difficulty: 201 digits.
Divisors found:

Wed Jan 19 19:20:19 2022  p55 factor: 2708959763121885886107642555247713471774811621943956213
Wed Jan 19 19:20:19 2022  p123 factor: 554752016485434990887431817583544324695040265865019773124991905225663440925769175834976857252852990825435410607295252040711
Wed Jan 19 19:20:19 2022  elapsed time 01:31:38 (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 = 10^201-73 = 5(199)15
#
n: 1502800891169772506965653230782807910559841515369213580896323718374711706770359305026822323464487349701680296253118243792861614964295991333018852050170138050110304191761077387443
m: 10000000000000000000000000000000000000000
deg: 5
c5: 10
c0: -73
skew: 1.49
# Murphy_E = 1.317e-11
type: snfs
lss: 1
rlim: 15700000
alim: 15700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 15700000/15700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4220615 hash collisions in 29780283 relations (27067258 unique)
Msieve: matrix is 2002509 x 2002734 (698.1 MB)

Sieving start time : 2022/01/19 08:29:41
Sieving end time  : 2022/01/19 17:47:46

Total sieving time: 9hrs 18min 5secs.

Total relation processing time: 1hrs 17min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 17sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,15700000,15700000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119057] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221988K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505248K reserved, 0K cma-reserved)
[    0.152620] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.28 BogoMIPS (lpj=12798576)
[    0.150211] smpboot: Total of 16 processors activated (102388.60 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 15, 2022 15:35:49 UTC 2022 年 1 月 16 日 (日) 0 時 35 分 49 秒 (日本時間)

10202-739

c193

name 名前Bob Backstrom
date 日付January 21, 2022 12:03:02 UTC 2022 年 1 月 21 日 (金) 21 時 3 分 2 秒 (日本時間)
composite number 合成数
2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481<193>
prime factors 素因数
1551256585930442134134123041890934916815399607797639461653474730876121<70>
1622106425409521893343941308711390010968598308324122981660605229146848517784167310312929717158987725824967531764407078189161<124>
factorization results 素因数分解の結果
Number: n
N=2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481  ( 193 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jan 21 22:54:41 2022  p70 factor: 1551256585930442134134123041890934916815399607797639461653474730876121
Fri Jan 21 22:54:41 2022  p124 factor: 1622106425409521893343941308711390010968598308324122981660605229146848517784167310312929717158987725824967531764407078189161
Fri Jan 21 22:54:41 2022  elapsed time 01:28:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 10^202-73 = 5(200)15
#
n: 2516303275496608323002165847401474766145763529900953897029418101845461175453879153222187226231157598042648405000266316731617096786777418725708506184087186101832362307122954008935967151695924481
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -73
skew: 0.94
# Murphy_E = 1.157e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5407933 hash collisions in 34286672 relations (30510761 unique)
Msieve: matrix is 1929607 x 1929832 (670.9 MB)

Sieving start time : 2022/01/21 10:13:52
Sieving end time  : 2022/01/21 21:25:29

Total sieving time: 11hrs 11min 37secs.

Total relation processing time: 1hrs 14min 25sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 40sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,28,28,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119028] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16221996K/16727236K available (14339K kernel code, 2400K rwdata, 9492K rodata, 2736K init, 4964K bss, 505240K reserved, 0K cma-reserved)
[    0.153529] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.04 BogoMIPS (lpj=12798084)
[    0.152048] smpboot: Total of 16 processors activated (102384.67 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 16, 2022 19:19:19 UTC 2022 年 1 月 17 日 (月) 4 時 19 分 19 秒 (日本時間)

10203-739

c140

name 名前Ignacio Santos
date 日付December 30, 2021 21:49:19 UTC 2021 年 12 月 31 日 (金) 6 時 49 分 19 秒 (日本時間)
composite number 合成数
81214370506236090582709137378954713939974617989455870146130848600341193742868729044032553587581926547274156362078836916626064612525112982781<140>
prime factors 素因数
610586472578025204224825929411577683<36>
composite cofactor 合成数の残り
133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2471633586
Step 1 took 3500ms
Step 2 took 2531ms
********** Factor found in step 2: 610586472578025204224825929411577683
Found prime factor of 36 digits: 610586472578025204224825929411577683
Composite cofactor 133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007 has 105 digits
 
software ソフトウェア
GMP-ECM

c105

name 名前Ignacio Santos
date 日付January 1, 2022 14:45:56 UTC 2022 年 1 月 1 日 (土) 23 時 45 分 56 秒 (日本時間)
composite number 合成数
133010432025019886859554743249279016764363427841162453195738196925406989616392922001314353382628634833007<105>
prime factors 素因数
1299989794267061572342398590746865817359859571<46>
102316520184692370055966790339559295946602040372608302519317<60>
factorization results 素因数分解の結果
prp60 = 102316520184692370055966790339559295946602040372608302519317
prp46 = 1299989794267061572342398590746865817359859571
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10204-739

c182

name 名前Ignacio Santos
date 日付February 3, 2022 22:00:05 UTC 2022 年 2 月 4 日 (金) 7 時 0 分 5 秒 (日本時間)
composite number 合成数
10272641213215536928699238105898213337607016571541832656037195005044771804050938593223174059004857849404311154120847768274073437761461958975788558578569727909463308996437845821655001<182>
prime factors 素因数
7778966260680667658374140687451367983<37>
1320566366914242164614308867888429591441354801114674713331974503160151796323018708447118589024008658805092857105323130167016011181655599760790647<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3188445835
Step 1 took 8485ms
Step 2 took 4172ms
********** Factor found in step 2: 7778966260680667658374140687451367983
Found prime factor of 37 digits: 7778966260680667658374140687451367983
Prime cofactor 1320566366914242164614308867888429591441354801114674713331974503160151796323018708447118589024008658805092857105323130167016011181655599760790647 has 145 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:22:57 UTC 2022 年 1 月 25 日 (火) 17 時 22 分 57 秒 (日本時間)

10210-739

c203

composite cofactor 合成数の残り
25374269845869833903328244016030347220747342787431038126591268038790458290016282922702793131114104767467526834115025777340122371476214882613172224989286348914327609380167232170331586644719953191576929927<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:20:33 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 33 秒 (日本時間)

10212-739

c154

composite cofactor 合成数の残り
7506960813369824949159102288701768991356307938166327005806296188600035845757262463124701791303794858661402441548910047202197220923885100365726858938260731<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:22:44 UTC 2022 年 1 月 25 日 (火) 17 時 22 分 44 秒 (日本時間)

10215-739

c138

name 名前Eric Jeancolas
date 日付January 8, 2022 12:56:36 UTC 2022 年 1 月 8 日 (土) 21 時 56 分 36 秒 (日本時間)
composite number 合成数
105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257<138>
prime factors 素因数
177150452870377777599491557069941069985545045391774902163903<60>
596805646927352235670656488884364983998922107964819022335384889860411885377719<78>
factorization results 素因数分解の結果
105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257=177150452870377777599491557069941069985545045391774902163903*596805646927352235670656488884364983998922107964819022335384889860411885377719

cado polynomial
n: 105724390628779232343722986066216214743327850595254633380353722607701446921886529590495170810650393016844769509910163528637183457602277257
skew: 187489.694
c0: -77516898778223868665927289930360
c1: 2833943437155977482020781478
c2: 2763402997643897371821
c3: -51307903964111315
c4: -357857657328
c5: -552960
Y0: -339684501752560509654211472
Y1: 7662022687834668937
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.232e-07
# f(x) = -552960*x^5-357857657328*x^4-51307903964111315*x^3+2763402997643897371821*x^2+2833943437155977482020781478*x-77516898778223868665927289930360
# g(x) = 7662022687834668937*x-339684501752560509654211472

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 177150452870377777599491557069941069985545045391774902163903 596805646927352235670656488884364983998922107964819022335384889860411885377719
Info:Square Root: Total cpu/real time for sqrt: 602.6/179.302
Info:Generate Free Relations: Total cpu/real time for freerel: 494.31/124.579
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 146.66/168.145
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 168.0s
Info:Square Root: Total cpu/real time for sqrt: 602.6/179.302
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 392.76/325.198
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 305.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 173.94/180.955
Info:Quadratic Characters: Total cpu/real time for characters: 55.94/22.5803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32841298
Info:Lattice Sieving: Average J: 3813.51 for 608208 special-q, max bucket fill -bkmult 1.0,1s:1.132220
Info:Lattice Sieving: Total time: 273984s
Info:Linear Algebra: Total cpu/real time for bwc: 26755.2/6850.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 14389.38, WCT time 3679.81, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Linear Algebra: Lingen CPU time 289.11, WCT time 73.45
Info:Linear Algebra: Mksol: CPU time 12073.25,  WCT time 3095.12, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 11.8/3.13932
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6806.48
Info:Polynomial Selection (root optimized): Rootsieve time: 6803.97
Info:Filtering - Merging: Merged matrix has 1486964 rows and total weight 252927786 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 358.08/101.72
Info:Filtering - Merging: Total cpu/real time for replay: 57.45/48.36
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66239/41.570/49.295/54.600/0.964
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54415/38.530/43.890/49.940/0.947
Info:Polynomial Selection (size optimized): Total time: 22666.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 579781/89010.1
177150452870377777599491557069941069985545045391774902163903 596805646927352235670656488884364983998922107964819022335384889860411885377719
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:29:22 UTC 2021 年 12 月 30 日 (木) 22 時 29 分 22 秒 (日本時間)

10216-739

c205

composite cofactor 合成数の残り
8110265311744420177086193453117593369014581662604840973794612936650328673529717422643629706774273221731531325042466962912334188393228044645866052953300949261785264137021354119410190933749416000486215660891<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:20:17 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 17 秒 (日本時間)

10217-739

c189

composite cofactor 合成数の残り
210118155521067545611709871666434196612722699183627323272340809790268456468626722688121007196687376008445012277548116660596300736742611956803652145958612563865004024500550081649054960102067<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:20:04 UTC 2022 年 1 月 25 日 (火) 17 時 20 分 4 秒 (日本時間)

10219-739

c162

composite cofactor 合成数の残り
247077739134219428381824992114140382020783658581310912944442044741686809321431951218451432205279876034702569156245855144146302558491100701965457137065509647949357<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 22:08:26 UTC 2022 年 1 月 25 日 (火) 7 時 8 分 26 秒 (日本時間)

10220-739

c188

composite cofactor 合成数の残り
35826544633994690673415561780178123269208665714270636961325745598397556429508247657919541214602432950732410907328427157603167429347323475333104864857017994328115047334809052769044535107171<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 25, 2022 08:19:47 UTC 2022 年 1 月 25 日 (火) 17 時 19 分 47 秒 (日本時間)

10222-739

c219

composite cofactor 合成数の残り
241021932995902627139069655338635815859243191130392865750783321282236683538201976379850566401542540371173776813690045794167269221499156423234514340805013256206314774644492648831043624969872258375512171607616293082670523<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 23:35:12 UTC 2022 年 1 月 25 日 (火) 8 時 35 分 12 秒 (日本時間)

10223-739

c198

composite cofactor 合成数の残り
887068600528845586236637709530708454036645823097572845222010681993857878825625318548171051144140520950646100130812931746806881070993574990962365923950973802470904328388043722789189156609377711858597<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 23:35:02 UTC 2022 年 1 月 25 日 (火) 8 時 35 分 2 秒 (日本時間)

10224-739

c223

composite cofactor 合成数の残り
1234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 23:34:53 UTC 2022 年 1 月 25 日 (火) 8 時 34 分 53 秒 (日本時間)

10225-739

c221

composite cofactor 合成数の残り
37423749111185958609333483028329778077167770667265446652445642004416002395119943115901350997342913813105796938737322704988585756521088282624153287676359417686463829946484038771004079188653119269488417349650087945810411287<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 23:34:36 UTC 2022 年 1 月 25 日 (火) 8 時 34 分 36 秒 (日本時間)

10226-739

c186

composite cofactor 合成数の残り
273528547125027240556033151761832708371292290430286999408664396943915170628985217337680477449649869667222523042875404997709084052027588225118394318920698536450187524770251811054123235341<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 19:29:41 UTC 2022 年 1 月 25 日 (火) 4 時 29 分 41 秒 (日本時間)

10227-739

c226

name 名前ebina
date 日付January 13, 2022 01:22:21 UTC 2022 年 1 月 13 日 (木) 10 時 22 分 21 秒 (日本時間)
composite number 合成数
3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<226>
prime factors 素因数
3240123175482364358684240859646056859881823501885772697171931742244645281<73>
1143074970645930791986039805835549190715966700821061441190993142427809313461127583467595840924181056369689703146720332044756931560113162201568393089288821<154>
factorization results 素因数分解の結果
Sun Jan  9 17:58:55 2022  Msieve v. 1.53 (SVN unknown)
Sun Jan  9 17:58:55 2022  random seeds: 1f4c1da0 e19f6795
Sun Jan  9 17:58:55 2022  factoring 3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701 (226 digits)
Sun Jan  9 17:58:57 2022  searching for 15-digit factors
Sun Jan  9 17:58:58 2022  commencing number field sieve (226-digit input)
Sun Jan  9 17:58:58 2022  R0: -1000000000000000000000000000000000000000000000
Sun Jan  9 17:58:58 2022  R1: 1
Sun Jan  9 17:58:58 2022  A0: -73
Sun Jan  9 17:58:58 2022  A1: 0
Sun Jan  9 17:58:58 2022  A2: 0
Sun Jan  9 17:58:58 2022  A3: 0
Sun Jan  9 17:58:58 2022  A4: 0
Sun Jan  9 17:58:58 2022  A5: 100
Sun Jan  9 17:58:58 2022  skew 0.94, size 8.877e-16, alpha 0.245, combined = 9.842e-13 rroots = 1
Sun Jan  9 17:58:58 2022  
Sun Jan  9 17:58:58 2022  commencing square root phase
Sun Jan  9 17:58:58 2022  reading relations for dependency 1
Sun Jan  9 17:58:59 2022  read 4617680 cycles
Sun Jan  9 17:59:07 2022  cycles contain 14812990 unique relations
Sun Jan  9 18:02:03 2022  read 14812990 relations
Sun Jan  9 18:03:28 2022  multiplying 14812990 relations
Sun Jan  9 18:13:52 2022  multiply complete, coefficients have about 464.96 million bits
Sun Jan  9 18:13:56 2022  initial square root is modulo 220248181
Sun Jan  9 18:27:28 2022  GCD is N, no factor found
Sun Jan  9 18:27:28 2022  reading relations for dependency 2
Sun Jan  9 18:27:33 2022  read 4618881 cycles
Sun Jan  9 18:27:41 2022  cycles contain 14816474 unique relations
Sun Jan  9 18:30:45 2022  read 14816474 relations
Sun Jan  9 18:32:12 2022  multiplying 14816474 relations
Sun Jan  9 18:42:34 2022  multiply complete, coefficients have about 465.07 million bits
Sun Jan  9 18:42:37 2022  initial square root is modulo 221211451
Sun Jan  9 18:55:54 2022  sqrtTime: 3416
Sun Jan  9 18:55:54 2022  p73 factor: 3240123175482364358684240859646056859881823501885772697171931742244645281
Sun Jan  9 18:55:54 2022  p154 factor: 1143074970645930791986039805835549190715966700821061441190993142427809313461127583467595840924181056369689703146720332044756931560113162201568393089288821
Sun Jan  9 18:55:54 2022  elapsed time 00:56:59
Sun Jan 09 18:55:54 2022 -> Computing 1.64172e+09 scale for this machine...
Sun Jan 09 18:55:54 2022 -> procrels -speedtest> PIPE
Sun Jan 09 18:55:58 2022 -> Factorization summary written to s227-2342.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10228-739

c200

composite cofactor 合成数の残り
19978944820305337347205484716787147666119781492966285556215960599192598050727173443052308278759234569466537704861687874802747209961655270070128364850975491014942945727264220972128664822091726501376287<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 18:52:08 UTC 2022 年 1 月 25 日 (火) 3 時 52 分 8 秒 (日本時間)

10230-739

c187

composite cofactor 合成数の残り
1615760014225768297732737181051144066217976228002784775020384005729661801686053270437281867883243937824644349833106059156716564574975008580274339087228598639095805171100668209871405654673<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 18:51:55 UTC 2022 年 1 月 25 日 (火) 3 時 51 分 55 秒 (日本時間)

10231-739

c216

composite cofactor 合成数の残り
466588884487880201519313095347812060326613615345231560310842202653066985755568924240040835229933947431720271862664581067271219637114029471338672123424357959465541488606280852273559495145333096134080650055662432628083<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 18:51:30 UTC 2022 年 1 月 25 日 (火) 3 時 51 分 30 秒 (日本時間)

10232-739

c203

composite cofactor 合成数の残り
17982062428925046790378598948135561906169972386377862991997146050077447575367769848634848972684387324619384974408516707764277192827003995968831651927622801642833229925426782705025556561308355907093510411<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 17:12:25 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 25 秒 (日本時間)

10233-739

c216

composite cofactor 合成数の残り
706304903393777932310065663614281961282273975953266864087487174850980253212790669606045146519083135467388488503751574801961320679146142291655527579155726107182106341676526701053659349186887911459934680097418348434501<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 17:12:13 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 13 秒 (日本時間)

10235-739

c217

composite cofactor 合成数の残り
5076345709555953690260043436340789939547709945061710809392035158561558876544154954921919334985395769545796867308623085858743043325059448193460832396789655054026396448351057271296564677428248404481281776900055893867333<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 17:12:05 UTC 2022 年 1 月 25 日 (火) 2 時 12 分 5 秒 (日本時間)

10236-739

c222

composite cofactor 合成数の残り
920342709560878611456999184262981467620829939581777970367910484233317057663099586263015082153327476046817929709606022649493882199478192764172350636618939516168492969791840064965531263406671374229509262781654720274486303257<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 17:11:53 UTC 2022 年 1 月 25 日 (火) 2 時 11 分 53 秒 (日本時間)

10237-739

c140

name 名前Eric Jeancolas
date 日付January 11, 2022 06:48:10 UTC 2022 年 1 月 11 日 (火) 15 時 48 分 10 秒 (日本時間)
composite number 合成数
29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189<140>
prime factors 素因数
338072230216591956323932991044902502277756728448252807015742852889<66>
86000954777736070845706764014449659587069716067415955430156066760433512701<74>
factorization results 素因数分解の結果
29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189=338072230216591956323932991044902502277756728448252807015742852889*86000954777736070845706764014449659587069716067415955430156066760433512701

cado polynomial
n: 29074534582465502863282018986544394565095841005119167283637251170941526165713801845882499418255469933441928617528248606413769303317356043189
skew: 152049.547
c0: 145935230979515840426319765063516
c1: -666790395123254407784780692
c2: -33304205865852686084775
c3: 53522523605446759
c4: 517301336346
c5: 1488240
Y0: -585461441970318968840783363
Y1: 1319825358166101277531
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.609e-07
# f(x) = 1488240*x^5+517301336346*x^4+53522523605446759*x^3-33304205865852686084775*x^2-666790395123254407784780692*x+145935230979515840426319765063516
# g(x) = 1319825358166101277531*x-585461441970318968840783363

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 338072230216591956323932991044902502277756728448252807015742852889 86000954777736070845706764014449659587069716067415955430156066760433512701
Info:Square Root: Total cpu/real time for sqrt: 904.19/266.483
Info:Generate Free Relations: Total cpu/real time for freerel: 494.95/124.903
Info:Filtering - Singleton removal: Total cpu/real time for purge: 145.19/166.221
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32844758
Info:Lattice Sieving: Average J: 3806.97 for 851227 special-q, max bucket fill -bkmult 1.0,1s:1.168390
Info:Lattice Sieving: Total time: 307509s
Info:Generate Factor Base: Total cpu/real time for makefb: 11.76/3.1352
Info:Linear Algebra: Total cpu/real time for bwc: 62397.5/16025.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 39954.4, WCT time 10232.51, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (60928 iterations)
Info:Linear Algebra: Lingen CPU time 395.45, WCT time 100.59
Info:Linear Algebra: Mksol: CPU time 21680.49,  WCT time 5547.4, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30464 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 148.55/173.089
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 173.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9067.94
Info:Polynomial Selection (root optimized): Rootsieve time: 9065.47
Info:Filtering - Merging: Merged matrix has 1948456 rows and total weight 331244147 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 480.72/136.322
Info:Filtering - Merging: Total cpu/real time for replay: 79.96/68.2484
Info:Quadratic Characters: Total cpu/real time for characters: 77.86/33.631
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66095/41.860/50.196/56.540/0.934
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54073/41.090/44.858/50.900/1.091
Info:Polynomial Selection (size optimized): Total time: 22834.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 388.86/328.153
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 304.1s
Info:Square Root: Total cpu/real time for sqrt: 904.19/266.483
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 673213/180375
Info:root: Cleaning up computation data in /tmp/cado.wf58hrr5
338072230216591956323932991044902502277756728448252807015742852889 86000954777736070845706764014449659587069716067415955430156066760433512701
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 21:51:12 UTC 2021 年 12 月 31 日 (金) 6 時 51 分 12 秒 (日本時間)
4511e64480Ignacio SantosJanuary 9, 2022 13:33:46 UTC 2022 年 1 月 9 日 (日) 22 時 33 分 46 秒 (日本時間)

10238-739

c190

name 名前Dmitry Domanov
date 日付January 25, 2022 07:08:33 UTC 2022 年 1 月 25 日 (火) 16 時 8 分 33 秒 (日本時間)
composite number 合成数
3427568507662530429041674434849099894657740061311373937810580656459813455060167084480111306975922515934411319643698550539361035183544978686870999732111813651019991263457018127119386542882837<190>
prime factors 素因数
14783191969314265009735635653355073201<38>
composite cofactor 合成数の残り
231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2530271516
Step 1 took 9248ms
Step 2 took 3361ms
********** Factor found in step 2: 14783191969314265009735635653355073201
Found probable prime factor of 38 digits: 14783191969314265009735635653355073201
Composite cofactor 231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437 has 153 digits

c153

name 名前Ignacio Santos
date 日付January 27, 2022 16:02:23 UTC 2022 年 1 月 28 日 (金) 1 時 2 分 23 秒 (日本時間)
composite number 合成数
231855780184495706728566969850556616389233133675995965043949835049813741742436062030532207939722458412634268957375856840019126498737642821963459495094437<153>
prime factors 素因数
1411130999060121656221221549687119998377371<43>
164304930115575628570474413060680831288987640497902319096280503594588060778150410861366670538553818174759098047<111>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2981698075
Step 1 took 5843ms
Step 2 took 3594ms
********** Factor found in step 2: 1411130999060121656221221549687119998377371
Found prime factor of 43 digits: 1411130999060121656221221549687119998377371
Prime cofactor 164304930115575628570474413060680831288987640497902319096280503594588060778150410861366670538553818174759098047 has 111 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 17:11:17 UTC 2022 年 1 月 25 日 (火) 2 時 11 分 17 秒 (日本時間)

10239-739

c217

composite cofactor 合成数の残り
2088034747840556404586285766550248024143548367994011813581534295458601958405782165473719708427742045726475228806318896747566600150608052474560060540821995719722990961647795024077691191072185200721344807202164190060459<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 15:14:57 UTC 2022 年 1 月 25 日 (火) 0 時 14 分 57 秒 (日本時間)

10241-739

c200

composite cofactor 合成数の残り
46324408767766851954394310988427954090266961280755411960212984795237977506071843860045629280384576608048010286061634678134395492523263006802540373804265476589243339311289633949701095033357919828301219<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 15:14:21 UTC 2022 年 1 月 25 日 (火) 0 時 14 分 21 秒 (日本時間)

10242-739

c232

composite cofactor 合成数の残り
7829782503361264752134027324257690088241380251341588465169489747246945255710328753277080985975794137974742461633134185156465308069380965236415008938988250210813155181856698447289541707590972578882028008302253816196393013269690593641<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 08:40:16 UTC 2022 年 1 月 24 日 (月) 17 時 40 分 16 秒 (日本時間)

10243-739

c238

composite cofactor 合成数の残り
2656190650740147524828742107793528988336666852600012218476993404678614212213695850233346348667521960056204994169661521625376183000911073393203870601016258542973180442999476730441804190937608737804764674789297676630037797592960032299278313<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 24, 2022 08:40:06 UTC 2022 年 1 月 24 日 (月) 17 時 40 分 6 秒 (日本時間)

10245-739

c219

name 名前Dmitry Domanov
date 日付January 24, 2022 11:28:07 UTC 2022 年 1 月 24 日 (月) 20 時 28 分 7 秒 (日本時間)
composite number 合成数
804306295494894715096704897915543893020818656722875450060161307066282167297725835849345975967021247632748010509174245804489882310212087460041227276063533467636462124287950225747670769883475775298229591381397672565792579<219>
prime factors 素因数
7389880749234180861861703590009457517<37>
108838873425426466772052868030848075658664433572879516601794059126864582807041228976086490581816035963008567222030505041241355739828132385588271509543591225190503307992881093109675887<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=936190924
Step 1 took 15224ms
Step 2 took 4899ms
********** Factor found in step 2: 7389880749234180861861703590009457517
Found probable prime factor of 37 digits: 7389880749234180861861703590009457517
Probable prime cofactor 108838873425426466772052868030848075658664433572879516601794059126864582807041228976086490581816035963008567222030505041241355739828132385588271509543591225190503307992881093109675887 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:26:25 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 25 秒 (日本時間)

10247-739

c236

composite cofactor 合成数の残り
14524070957515219176715689371931331409961163101339202226653395750619310131749450662808063149213333226709397908874096495858235104383506362503362307739198017452144289635861225855847120934733839086202009413021917481722627096808083854389027<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:26:06 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 6 秒 (日本時間)

10248-739

c233

composite cofactor 合成数の残り
40593989493560901864048469694814151649020091304069896985151238737040163850901084962543081399599585842769826904022914413937737112985584161291499912621549580031190245040558835159954372558836487489678429409376668187438459318942438717023<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:26:54 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 54 秒 (日本時間)

10250-739

c248

composite cofactor 合成数の残り
16583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509121061359867330016583747927031509<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:25:53 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 53 秒 (日本時間)

10251-739

c213

composite cofactor 合成数の残り
422827486758713677188019685424624492634349098154886544626795706320312196730520019480492482321210011879746627768334731305186858366726340558773358725913494398582360895106112796755762475977995442683541449382754011753<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:27:04 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 4 秒 (日本時間)

10252-739

c137

name 名前Eric Jeancolas
date 日付January 9, 2022 09:55:37 UTC 2022 年 1 月 9 日 (日) 18 時 55 分 37 秒 (日本時間)
composite number 合成数
15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103<137>
prime factors 素因数
449342310829812419167976689814803273013153<42>
34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151<95>
factorization results 素因数分解の結果
15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103=449342310829812419167976689814803273013153*34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151

cado polynomial
n: 15393096213257825351029480358543029286306077862982609574933436533965573603187350463174831789327748134010588958515741362402405520436330103
skew: 45149.935
c0: 40163380606353866630934495512
c1: 26509238345219274680951634
c2: 101926170940839314027
c3: -17607901059410525
c4: 27768637288
c5: -1028160
Y0: -164485400423071355525645648
Y1: 37252865504843539687
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 9.802e-08
# f(x) = -1028160*x^5+27768637288*x^4-17607901059410525*x^3+101926170940839314027*x^2+26509238345219274680951634*x+40163380606353866630934495512
# g(x) = 37252865504843539687*x-164485400423071355525645648

cado parameters (extracts)
tasks.lim0 = 3341873
tasks.lim1 = 16407032
tasks.lpb0 = 27
tasks.lpb1 = 28
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 62
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 449342310829812419167976689814803273013153 34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151
Info:Square Root: Total cpu/real time for sqrt: 573.26/170.555
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 274.51/257.875
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 219.1s
Info:Square Root: Total cpu/real time for sqrt: 573.26/170.555
Info:Filtering - Singleton removal: Total cpu/real time for purge: 179.49/209.046
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17583470
Info:Lattice Sieving: Average J: 3782.21 for 903531 special-q, max bucket fill -bkmult 1.0,1s:1.194620
Info:Lattice Sieving: Total time: 294852s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.17/4.04262
Info:Linear Algebra: Total cpu/real time for bwc: 38480/9884.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24552.45, WCT time 6278.57, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (48640 iterations)
Info:Linear Algebra: Lingen CPU time 297.72, WCT time 75.62
Info:Linear Algebra: Mksol: CPU time 13353.27,  WCT time 3427.44, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (24320 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.32/62.7781
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 78.64/90.525
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 90.10000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7218.18
Info:Polynomial Selection (root optimized): Rootsieve time: 7215.69
Info:Filtering - Merging: Merged matrix has 1552141 rows and total weight 264332394 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 425.48/117.787
Info:Filtering - Merging: Total cpu/real time for replay: 58.49/49.8234
Info:Quadratic Characters: Total cpu/real time for characters: 52.43/21.9158
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 53395.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 54096/40.880/48.955/53.790/0.952
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 43674/40.140/43.865/49.670/1.191
Info:Polynomial Selection (size optimized): Total time: 11161.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 610440/163483
Info:root: Cleaning up computation data in /tmp/cado.amhi4s_t
449342310829812419167976689814803273013153 34256948082256007429126456207702088869680059897579341713678134811612931329802620398770860048151
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-90-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)]
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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 30, 2021 13:29:12 UTC 2021 年 12 月 30 日 (木) 22 時 29 分 12 秒 (日本時間)

10253-739

c177

composite cofactor 合成数の残り
609870524781081363573476904007584875639137047899416814195478773676615105727610757814873183089510012978208033042318906703199337568213675316409603668199754464993455270817225952257<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:26:37 UTC 2022 年 1 月 24 日 (月) 7 時 26 分 37 秒 (日本時間)

10254-739

c196

name 名前Dmitry Domanov
date 日付January 25, 2022 07:09:47 UTC 2022 年 1 月 25 日 (火) 16 時 9 分 47 秒 (日本時間)
composite number 合成数
5405237885855351144299263305008916486523580602958372719198639524806971074857404524047126985129662124766691021669226006536954719528094894061323922459750078532764785879371173148121389583900853976901<196>
prime factors 素因数
49882823851024982803895787418112377415179<41>
108358698817815329862454845824172409937978580372144488517691150194348123088148404529822405740338693896468934793934357670118444056711545589130862618974081519<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=425516692
Step 1 took 11708ms
Step 2 took 4380ms
********** Factor found in step 2: 49882823851024982803895787418112377415179
Found probable prime factor of 41 digits: 49882823851024982803895787418112377415179
Probable prime cofactor 108358698817815329862454845824172409937978580372144488517691150194348123088148404529822405740338693896468934793934357670118444056711545589130862618974081519 has 156 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:27:17 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 17 秒 (日本時間)

10259-739

c242

composite cofactor 合成数の残り
69671996235598264190996107232362969458588185538895856562493585269185409729523502640338835638937068800894169391137744344203846009899876671081872630206282313490365708653783175975702211457289860514833707448847392721858688592996157778902794456201<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:25:16 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 16 秒 (日本時間)

10260-739

c208

composite cofactor 合成数の残り
2342920709522779244903929913746981638369489511334589134388275320184833149180460159764570486717018542836703140124715928401414964528178648495007584141342440584433138049271017536248445330416201208078341165610651<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:27:28 UTC 2022 年 1 月 24 日 (月) 7 時 27 分 28 秒 (日本時間)

10261-739

c230

composite cofactor 合成数の残り
82952798474626978303178732469606865454985514468393409705994865038596398205343668735191776620081254462830364330166253450873594199653186122121209826455616600848044219785775185775874410160661075801571852460989091467719152823550504459<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 22:25:00 UTC 2022 年 1 月 24 日 (月) 7 時 25 分 0 秒 (日本時間)

10263-739

c177

composite cofactor 合成数の残り
168695876738009963032109861718443428092431255089409405124232387820031804582887601780322822677117254154088299840175502397286797178867364693083413142073770836871438903005439546921<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 14:10:09 UTC 2021 年 12 月 31 日 (金) 23 時 10 分 9 秒 (日本時間)
4511e64480Ignacio SantosJanuary 8, 2022 12:51:17 UTC 2022 年 1 月 8 日 (土) 21 時 51 分 17 秒 (日本時間)

10267-739

c256

composite cofactor 合成数の残り
3096313911260403330682126343772614883573452550379401612936271001925187647776796575127408744889389295475440830949111777655702883262722289831510607767612603637026633487730636073149135480937564449422824775986726145635591919857095580559472623560909898013446831<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:03:41 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 41 秒 (日本時間)

10268-739

c233

composite cofactor 合成数の残り
38468723858227803643959140544684727810211933591471960386808623162258781940218192369374313201310295416691377270107614322723258203017415153169000909156954825850516764594198774048836070571690945808570226306068114893437903598009375045911<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 19:49:41 UTC 2022 年 1 月 24 日 (月) 4 時 49 分 41 秒 (日本時間)

10269-739

c251

composite cofactor 合成数の残り
99660148264655199772039794722443323218775576283481169421995457735403230377649839461401005603986999430382439288905227754301180600286598174488964160725090737494116728473295360535938568190352054788573932921905650954152192039831448805188958824131337402939<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:03:31 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 31 秒 (日本時間)

10270-739

c243

composite cofactor 合成数の残り
481488393588986206088428296055878249907557345848821606034305060059430184960259371340913950216544193197595043357059672417687333615370304627791388122702148977691752644804635888034601338836361776633676469972806320477396182657924378158158899403957<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:19:57 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 57 秒 (日本時間)

10272-739

c271

composite cofactor 合成数の残り
3703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703703701<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:02:58 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 58 秒 (日本時間)

10273-739

c227

composite cofactor 合成数の残り
29536292572266306744232275106701792149670385610534634197765449999483011436709459902100697187974129198904108766385848358567355836124637802983341543891763257462976640219709836487284255554710242778245707325430945917064500295235831<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:19:47 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 47 秒 (日本時間)

10275-739

c246

composite cofactor 合成数の残り
296297807750697829447065015462696655647146334157773851393884689814551728120176254678276490449039534323971581553865032982393675441073573525619706924505816618153227685816080523278037076101044865060174856348649763106965847158455364799945549039651417<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:19:38 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 38 秒 (日本時間)

10276-739

c192

name 名前Dmitry Domanov
date 日付January 24, 2022 11:26:49 UTC 2022 年 1 月 24 日 (月) 20 時 26 分 49 秒 (日本時間)
composite number 合成数
136185682291299189778200878635243070287363560981632000655816441681894049570865986829112345081331832055509989503157345668812423607099539560106219499106198601904152226650039483976345841929830119<192>
prime factors 素因数
4203701924119101300787234394171966753<37>
32396607739935632899379846460595307512175809889822715263321132358318821270417195082827719150873584179879498564982614122463119808254468339455470398708431623<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4203885967
Step 1 took 8541ms
Step 2 took 3307ms
********** Factor found in step 2: 4203701924119101300787234394171966753
Found probable prime factor of 37 digits: 4203701924119101300787234394171966753
Probable prime cofactor 32396607739935632899379846460595307512175809889822715263321132358318821270417195082827719150873584179879498564982614122463119808254468339455470398708431623 has 155 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:19:28 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 28 秒 (日本時間)

10277-739

c238

composite cofactor 合成数の残り
4885925754262367790066635593639014949526313007382034934719957369092741020903560643349981411018067457581094620015007717474026456605502298396288917491082522713333795330174870252099029946780539328402284161590506600340174629086891821462844683<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:19:19 UTC 2022 年 1 月 23 日 (日) 22 時 19 分 19 秒 (日本時間)

10278-739

c277

composite cofactor 合成数の残り
1234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567901234567<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 21:34:07 UTC 2022 年 1 月 6 日 (木) 6 時 34 分 7 秒 (日本時間)

10279-739

c173

name 名前Ignacio Santos
date 日付December 31, 2021 13:03:47 UTC 2021 年 12 月 31 日 (金) 22 時 3 分 47 秒 (日本時間)
composite number 合成数
78040465823691935768875032286261759775156976995260056327686316549069060419985305230025767725701127383616466771898034756249472851377030024871106735321834805778473216331287531<173>
prime factors 素因数
87919226081950922382897226010761683617<38>
887638225465601397010147749536583650755552513471393003608756816819247492172572464940841071989772182275285868190389606485732675672076043<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3722094379
Step 1 took 7281ms
Step 2 took 4047ms
********** Factor found in step 2: 87919226081950922382897226010761683617
Found prime factor of 38 digits: 87919226081950922382897226010761683617
Prime cofactor 887638225465601397010147749536583650755552513471393003608756816819247492172572464940841071989772182275285868190389606485732675672076043 has 135 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 JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)

10280-739

c268

name 名前Dmitry Domanov
date 日付January 6, 2022 07:54:32 UTC 2022 年 1 月 6 日 (木) 16 時 54 分 32 秒 (日本時間)
composite number 合成数
4750789145819015749764493809320392292612913660161074718697718062160113143132622807724270890420935303764465897749096811068281722643904954088998392697577547023423484194444755192731084365746308783775725674673235603919695689813606386410789676567116949254088697651639471999<268>
prime factors 素因数
253439210034885095177358492671578637<36>
composite cofactor 合成数の残り
18745280752591853670093198123636220539022655324274136154129833504464787833339685460262783539623090722328623822592694703950372205435302724647351008408157875101051237492185802898358230900647312729341382649743789555040182555369642762427<233>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2918905858
Step 1 took 14864ms
Step 2 took 4894ms
********** Factor found in step 2: 253439210034885095177358492671578637
Found probable prime factor of 36 digits: 253439210034885095177358492671578637
Composite cofactor 18745280752591853670093198123636220539022655324274136154129833504464787833339685460262783539623090722328623822592694703950372205435302724647351008408157875101051237492185802898358230900647312729341382649743789555040182555369642762427 has 233 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:02:10 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 10 秒 (日本時間)

10281-739

c273

composite cofactor 合成数の残り
730567298876959528522256904443601808121919759324246873330859194118956622194039858100744631449947639876405838872111045586530074836610997949889351564464940656127897319409042066349990581891666527676238055325116365307290596271422671471432455228699015470704985535169294250583663<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:02:21 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 21 秒 (日本時間)

10282-739

c271

composite cofactor 合成数の残り
7167020578116926991087322575213351069898301413049051162348762318072321783287427828685725898817785299799232701516142066752623687238672346880999466765849768649906295755924135197122633549115822308957006433961035730242420349802962020897001001163491175006044321676122609970557<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:03:09 UTC 2022 年 1 月 6 日 (木) 8 時 3 分 9 秒 (日本時間)

10283-739

c280

composite cofactor 合成数の残り
2369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787017294479981047145226249703861644160151622838190002369106846718787<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 19:00:45 UTC 2022 年 1 月 6 日 (木) 4 時 0 分 45 秒 (日本時間)

10284-739

c181

composite cofactor 合成数の残り
8973220824496208459631863318957163869564462497331078378477399392448765753063180110165076275580326314649040645505593125493629229791154530786771107162418764445132522592764445132308013<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 31, 2021 14:12:44 UTC 2021 年 12 月 31 日 (金) 23 時 12 分 44 秒 (日本時間)
4511e64480Ignacio SantosJanuary 8, 2022 19:13:03 UTC 2022 年 1 月 9 日 (日) 4 時 13 分 3 秒 (日本時間)

10285-739

c277

composite cofactor 合成数の残り
3444855322673345662401636074783992155540812263745578170789609033482695025928271987229177230100210186814056317383587737104612122846172675998028757328417276758295236592198505736819192079941395294485403601988264390703116777291822371974216925219766181616224356372102014167980301959<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 20:37:27 UTC 2022 年 1 月 6 日 (木) 5 時 37 分 27 秒 (日本時間)

10286-739

c233

composite cofactor 合成数の残り
11863526391571309230750448658981306866814943685864809808557062298138710132910342752670458179582036574275039835415235945145534872332033000859165387462952844386553567699962622191908653912272519134993858947883921129936521982848259002847<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 13:18:36 UTC 2022 年 1 月 23 日 (日) 22 時 18 分 36 秒 (日本時間)

10287-739

c233

composite cofactor 合成数の残り
33265265316200629706816155004225435430422055674317468175497643206339398446775375687392450906827722027449829264193675986858824158694265275634876631330752519866104483085445470066773180032941885844270285972440873717743360330061500247959<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:17:01 UTC 2022 年 1 月 23 日 (日) 17 時 17 分 1 秒 (日本時間)

10289-739

c276

name 名前Dmitry Domanov
date 日付January 5, 2022 18:57:43 UTC 2022 年 1 月 6 日 (木) 3 時 57 分 43 秒 (日本時間)
composite number 合成数
562006515522895195897578470712790520552157830287053064387034094280692549768116365106801324023717429181522967970989348794288371217571730135394535601349340949443382190065197634011028509783667646428936124227928005317191310956337250684241317147345867554988800606068933088081068183<276>
prime factors 素因数
21159144469607653869939571561535892539<38>
composite cofactor 合成数の残り
26560928128740938326780239383130816420952292635031211699462253332619095439517467158398679773116594683672671359282695133123755200588073777936713576360128085594884594262821892565291640379481479381592181934105040123453459546319422713872442197<239>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1316901987
Step 1 took 35181ms
Step 2 took 12388ms
********** Factor found in step 2: 21159144469607653869939571561535892539
Found prime factor of 38 digits: 21159144469607653869939571561535892539
Composite cofactor 26560928128740938326780239383130816420952292635031211699462253332619095439517467158398679773116594683672671359282695133123755200588073777936713576360128085594884594262821892565291640379481479381592181934105040123453459546319422713872442197 has 239 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 16:38:16 UTC 2022 年 1 月 6 日 (木) 1 時 38 分 16 秒 (日本時間)

10290-739

c238

composite cofactor 合成数の残り
2780241176984627517745398879512760559403235569929057334579014354682292615899062590072440441092215329699506857349242974155757533982263530537080188796026852228584535957809397913263426635839620272967767024647644526730249275710032525812121467<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:16:50 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 50 秒 (日本時間)

10291-739

c222

name 名前Dmitry Domanov
date 日付January 23, 2022 13:17:32 UTC 2022 年 1 月 23 日 (日) 22 時 17 分 32 秒 (日本時間)
composite number 合成数
165342355815052367867215148523115457386544726783325710077287411484589639458943253793982700453522187640253014648395242726280202876913814982621895432622884878655619914757261179024586902809548367173422586438242245665441954147<222>
prime factors 素因数
1306600015478024578303498028577866512739<40>
126543972031533490377307016219996842882378290806148696693748597958346246381867626079720478468724777654197324803352940735298096913596519643263972766084985777431812487520639109338447873<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3797521235
Step 1 took 15695ms
Step 2 took 5349ms
********** Factor found in step 2: 1306600015478024578303498028577866512739
Found probable prime factor of 40 digits: 1306600015478024578303498028577866512739
Probable prime cofactor 126543972031533490377307016219996842882378290806148696693748597958346246381867626079720478468724777654197324803352940735298096913596519643263972766084985777431812487520639109338447873 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:16:40 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 40 秒 (日本時間)

10292-739

c233

composite cofactor 合成数の残り
79110645882738700916965108578586463597392135171842195329756191284095726764040645557245018268431591743054316492418957509093797181138307348852463708495173032789793091823347094327170917425249501092462472901567305820680724282252241446567<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:16:31 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 31 秒 (日本時間)

10293-739

c234

composite cofactor 合成数の残り
376128441732512696810247841655940197422693525591020712194303526969080808799288870436325894743079805547940341031583989403345983246376663694786857961574117665981220066769918784253463223804601359694677790133355354712880828895337853979797<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:16:22 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 22 秒 (日本時間)

10295-739

c263

composite cofactor 合成数の残り
82754587529820492418142149552686748394844922819315169365458864254581710081051115853877484102021342912355558503372732176578225607484173747516611424540911356332692768835832284456116566891247680284459984333762592529470750579664398275042816411290077298961425476356211<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:02:33 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 33 秒 (日本時間)

10296-739

c275

name 名前Dmitry Domanov
date 日付January 5, 2022 18:03:51 UTC 2022 年 1 月 6 日 (木) 3 時 3 分 51 秒 (日本時間)
composite number 合成数
37688261952472128554074915981828774879496800645129755368880813557240982984903340280155396964209803521826236429428717419327398141386521193838630301830535870390611865841771969762044931990564124568895908652564625450394760626811970974724454842120023652276072161315598411491410893<275>
prime factors 素因数
122278619188430958069054568563095259093013<42>
composite cofactor 合成数の残り
308216286727891802191941958964557981216436773659748028103735167273180696780912575794932039342589499764413670296935102906129865478864866092787366419603537157775554357103266006846838205957843132163154916547304435208828958609464093356761<234>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3228733716
Step 1 took 14878ms
Step 2 took 5882ms
********** Factor found in step 2: 122278619188430958069054568563095259093013
Found prime factor of 42 digits: 122278619188430958069054568563095259093013
Composite cofactor 308216286727891802191941958964557981216436773659748028103735167273180696780912575794932039342589499764413670296935102906129865478864866092787366419603537157775554357103266006846838205957843132163154916547304435208828958609464093356761 has 234 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 13:15:41 UTC 2022 年 1 月 5 日 (水) 22 時 15 分 41 秒 (日本時間)

10297-739

c226

composite cofactor 合成数の残り
1917921547442317231543152711532187768080538190504623879317462381836829706304836368349423061217878040828752953862247111052315658262239923737632564360269873835531879177757626434737469494487721850781849447296998554018449034792789<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 23, 2022 08:16:15 UTC 2022 年 1 月 23 日 (日) 17 時 16 分 15 秒 (日本時間)

10298-739

c263

composite cofactor 合成数の残り
42691727314660083706049827400253294280858936780223857856484644655727596570380646975982536403431846983278125238813177673955098831097669814576104893437378610321595036522832807891028004570311570317400270258841050197750910358277906026938218709184555585270961416850363<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 23:02:47 UTC 2022 年 1 月 6 日 (木) 8 時 2 分 47 秒 (日本時間)

10299-739

c269

composite cofactor 合成数の残り
83672275273822756711855094545013785453310597843443173393733672977450838727002713800723796993754588188340019794886984445911057551491007650030389053169470377505149602094753416076528563884277322108151130076342983039112428591851756832049433891663067783316559915722072811291<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJanuary 5, 2022 13:20:45 UTC 2022 年 1 月 5 日 (水) 22 時 20 分 45 秒 (日本時間)

10300-739

c291

composite cofactor 合成数の残り
101930581699564818481674055090101225276097412130707134665916126922550836214370391070568809360259794053379710141580667740600955757216221170838647304557589899661882836244933664409693122793078869427816021933266820183520705843983176331803980238419265439825516910062671352551278930485192607440569<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasDecember 28, 2021 04:00:00 UTC 2021 年 12 月 28 日 (火) 13 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2021 00:18:32 UTC 2021 年 12 月 29 日 (水) 9 時 18 分 32 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 09:22:37 UTC 2021 年 12 月 31 日 (金) 18 時 22 分 37 秒 (日本時間)
1800Dmitry DomanovJanuary 4, 2022 00:10:10 UTC 2022 年 1 月 4 日 (火) 9 時 10 分 10 秒 (日本時間)
5043e6200 / 6702Dmitry DomanovJanuary 6, 2022 14:44:05 UTC 2022 年 1 月 6 日 (木) 23 時 44 分 5 秒 (日本時間)