Table of contents 目次

4×10118-3199

c98

name 名前Ignacio Santos
date 日付December 28, 2021 19:32:35 UTC 2021 年 12 月 29 日 (水) 4 時 32 分 35 秒 (日本時間)
composite number 合成数
27426753139813689931450359784993021294959635514671244397328398157402819503543576700602416348343801<98>
prime factors 素因数
1082010483490167683496227909998571167507<40>
25347955087593122242234703222304259389982028458038033663043<59>
factorization results 素因数分解の結果
N=27426753139813689931450359784993021294959635514671244397328398157402819503543576700602416348343801
  ( 98 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=1082010483490167683496227909998571167507 (pp40)
 r2=25347955087593122242234703222304259389982028458038033663043 (pp59)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.97 hours.
Scaled time: 7.57 units (timescale=7.831).
Factorization parameters were as follows:
n: 27426753139813689931450359784993021294959635514671244397328398157402819503543576700602416348343801
m: 200000000000000000000000000000
deg: 4
c4: 25
c0: -319
skew: 1.89
# Murphy_E = 3.789e-08
type: snfs
lss: 1
rlim: 660000
alim: 660000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 660000/660000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [330000, 630001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 74964 x 75189
Total sieving time: 0.96 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,660000,660000,25,25,45,45,2.2,2.2,50000
total time: 0.97 hours.
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)

4×10119-3199

c118

name 名前Ignacio Santos
date 日付December 28, 2021 21:33:11 UTC 2021 年 12 月 29 日 (水) 6 時 33 分 11 秒 (日本時間)
composite number 合成数
4938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271601<118>
prime factors 素因数
14442418223723020292698507497263653<35>
341928306495563149618253826285350811218476808216793664049081048257877228039751271517<84>
factorization results 素因数分解の結果
N=4938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271601
  ( 118 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=14442418223723020292698507497263653 (pp35)
 r2=341928306495563149618253826285350811218476808216793664049081048257877228039751271517 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.84 hours.
Scaled time: 6.61 units (timescale=7.825).
Factorization parameters were as follows:
n: 4938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271604938271601
m: 1000000000000000000000000000000
deg: 4
c4: 2
c0: -1595
skew: 5.31
# Murphy_E = 3.671e-08
type: snfs
lss: 1
rlim: 710000
alim: 710000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 710000/710000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [355000, 605001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 81763 x 82011
Total sieving time: 0.84 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,4,0,0,0,0,0,0,0,0,710000,710000,25,25,46,46,2.2,2.2,50000
total time: 0.84 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)

4×10131-3199

c125

name 名前Ignacio Santos
date 日付December 28, 2021 22:20:01 UTC 2021 年 12 月 29 日 (水) 7 時 20 分 1 秒 (日本時間)
composite number 合成数
38957751584533499916679108798578977053202556057039212827463033233007383565263437672905458399792822677073450847443100499409157<125>
prime factors 素因数
5447559296229265061696966269579134818331671<43>
7151413957347758726356271898375458951711982840703701892622280310121467608633043267<82>
factorization results 素因数分解の結果
N=38957751584533499916679108798578977053202556057039212827463033233007383565263437672905458399792822677073450847443100499409157
  ( 125 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=5447559296229265061696966269579134818331671 (pp43)
 r2=7151413957347758726356271898375458951711982840703701892622280310121467608633043267 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.32 hours.
Scaled time: 18.21 units (timescale=7.855).
Factorization parameters were as follows:
n: 38957751584533499916679108798578977053202556057039212827463033233007383565263437672905458399792822677073450847443100499409157
m: 1000000000000000000000000000000000
deg: 4
c4: 2
c0: -1595
skew: 5.31
# Murphy_E = 9.708e-09
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 186569 x 186817
Total sieving time: 2.29 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,100000
total time: 2.32 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)

4×10132-3199

c114

name 名前Ignacio Santos
date 日付December 28, 2021 22:26:54 UTC 2021 年 12 月 29 日 (水) 7 時 26 分 54 秒 (日本時間)
composite number 合成数
406378103206884983062679058538183957588784992465594301770553286118898571442476202363838296325892240876948242132213<114>
prime factors 素因数
505132468700107060336464912287313639858447187906059539999<57>
804498083943497756843217333297061655018650679850995847787<57>
factorization results 素因数分解の結果
N=406378103206884983062679058538183957588784992465594301770553286118898571442476202363838296325892240876948242132213
  ( 114 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=505132468700107060336464912287313639858447187906059539999 (pp57)
 r2=804498083943497756843217333297061655018650679850995847787 (pp57)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.45 hours.
Scaled time: 18.28 units (timescale=7.474).
Factorization parameters were as follows:
n: 406378103206884983062679058538183957588784992465594301770553286118898571442476202363838296325892240876948242132213
m: 1000000000000000000000000000000000
deg: 4
c4: 4
c0: -319
skew: 2.99
# Murphy_E = 1.189e-08
type: snfs
lss: 1
rlim: 1140000
alim: 1140000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1140000/1140000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [570000, 1170001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 140191 x 140416
Total sieving time: 2.42 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1140000,1140000,26,26,47,47,2.3,2.3,100000
total time: 2.45 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)

4×10138-3199

c85

name 名前Ignacio Santos
date 日付December 28, 2021 19:50:37 UTC 2021 年 12 月 29 日 (水) 4 時 50 分 37 秒 (日本時間)
composite number 合成数
6973077550420617704867644320457223399927181248356711968339874850431887381985068786757<85>
prime factors 素因数
50435210401145980643425308342638611<35>
138258123540259417089577603187611010901293287951687<51>
factorization results 素因数分解の結果
prp51 = 138258123540259417089577603187611010901293287951687
prp35 = 50435210401145980643425308342638611
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)

4×10139-3199

c128

name 名前Ignacio Santos
date 日付December 29, 2021 10:32:14 UTC 2021 年 12 月 29 日 (水) 19 時 32 分 14 秒 (日本時間)
composite number 合成数
71859911929252109586958083665438295726879596147713757169867802590242591948380189324165904135033581119735432390129183929211157931<128>
prime factors 素因数
242880602438616230669316052857867178093405217<45>
295865174936781661014942280615465805211030652410698622514958277972229134735419680843<84>
factorization results 素因数分解の結果
N=71859911929252109586958083665438295726879596147713757169867802590242591948380189324165904135033581119735432390129183929211157931
  ( 128 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=242880602438616230669316052857867178093405217 (pp45)
 r2=295865174936781661014942280615465805211030652410698622514958277972229134735419680843 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.91 hours.
Scaled time: 46.18 units (timescale=7.819).
Factorization parameters were as follows:
n: 71859911929252109586958083665438295726879596147713757169867802590242591948380189324165904135033581119735432390129183929211157931
m: 100000000000000000000000000000000000
deg: 4
c4: 2
c0: -1595
skew: 5.31
# Murphy_E = 3.904e-09
type: snfs
lss: 1
rlim: 1530000
alim: 1530000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1530000/1530000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [765000, 1365001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 208142 x 208370
Total sieving time: 5.87 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140.000,4,0,0,0,0,0,0,0,0,1530000,1530000,26,26,48,48,2.3,2.3,100000
total time: 5.91 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)

4×10140-3199

c93

name 名前Ignacio Santos
date 日付December 28, 2021 19:56:25 UTC 2021 年 12 月 29 日 (水) 4 時 56 分 25 秒 (日本時間)
composite number 合成数
986964043714320527911813479180037067593870799232069146350275404671473805095928479633265848773<93>
prime factors 素因数
32512154585293309585851967580135294774041097<44>
30356771376842805937079019092937415622614732863709<50>
factorization results 素因数分解の結果
prp50 = 30356771376842805937079019092937415622614732863709
prp44 = 32512154585293309585851967580135294774041097
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)

4×10145-3199

c104

name 名前Ignacio Santos
date 日付December 29, 2021 17:16:35 UTC 2021 年 12 月 30 日 (木) 2 時 16 分 35 秒 (日本時間)
composite number 合成数
10490809696193378615626182911585402747067893501924637471166174150480467331069841745975958071801891538757<104>
prime factors 素因数
520896509229541457327378350606488783825781<42>
20139911691307637340220152119358953365473874460922494951998097<62>
factorization results 素因数分解の結果
N=10490809696193378615626182911585402747067893501924637471166174150480467331069841745975958071801891538757
  ( 104 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=520896509229541457327378350606488783825781 (pp42)
 r2=20139911691307637340220152119358953365473874460922494951998097 (pp62)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.62 hours.
Scaled time: 75.66 units (timescale=7.868).
Factorization parameters were as follows:
n: 10490809696193378615626182911585402747067893501924637471166174150480467331069841745975958071801891538757
m: 1000000000000000000000000000000000000
deg: 4
c4: 40
c0: -319
skew: 1.68
# Murphy_E = 2.068e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1870000/1870000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [935000, 1935001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 283689 x 283915
Total sieving time: 9.57 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,145.000,4,0,0,0,0,0,0,0,0,1870000,1870000,26,26,49,49,2.3,2.3,100000
total time: 9.62 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)

4×10146-3199

c116

name 名前Bob Backstrom
date 日付December 29, 2021 04:35:39 UTC 2021 年 12 月 29 日 (水) 13 時 35 分 39 秒 (日本時間)
composite number 合成数
52443827690994702723714107522551794655421969486455808650478350031321311064321257542946476321533386887084277990503371<116>
prime factors 素因数
2967191437306637397835316014745955553270599620110357<52>
17674568290948805098993340522903901490160708281518823939751543903<65>
factorization results 素因数分解の結果
CADO

STA:Wed 29 Dec 2021 13:59:55 AEDT (52,443,827,690,994,702,723,714,107,522,551,794,655,421,969,486,455,808,650,478,350,031,321,311,064,321,257,542,946,476,321,533,386,887,084,277,990,503,371 - C116)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 52443827690994702723714107522551794655421969486455808650478350031321311064321257542946476321533386887084277990503371 2>&1 | tee -a log123

Debug:root: Looking for parameter file for c116 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.1_mr164z
Info:Database: Opened connection to database /tmp/cado.1_mr164z/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 5244382769099470272371410752255179465542196948645580865047835003132131106432125754294
6476321533386887084277990503371
Debug:root: Root parameter dictionary:
N = 52443827690994702723714107522551794655421969486455808650478350031321311064321257542946476321533386887084277990503371
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 52443827690994702723714107522551794655421969486455808650478350031321311064321257542946476321533386887084277990503371
skew: 1805220.453
c0: 7159770001552502465203462207731
c1: -461409933418314833173150
c2: -7803458901584731631
c3: 1732866244962
c4: 790920
Y0: -2853119462474403270474175330
Y1: 846978796709081561
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.77e-09
# f(x) = 790920*x^4+1732866244962*x^3-7803458901584731631*x^2-461409933418314833173150*x+7159770001552502465203462207731
# g(x) = 846978796709081561*x-2853119462474403270474175330
...
Info:Square Root: finished
Info:Square Root: Factors: 2967191437306637397835316014745955553270599620110357 17674568290948805098993340522903901490160708281518823939751543903
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 322.12/47.0076
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): 55962/39.030/44.213/48.910/0.616
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 55962/38.070/43.460/45.170/0.999
Info:Polynomial Selection (size optimized): Total time: 1117.05
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 150.08
Info:Polynomial Selection (root optimized): Rootsieve time: 149.41
Info:Generate Factor Base: Total cpu/real time for makefb: 2.68/0.297729
Info:Generate Free Relations: Total cpu/real time for freerel: 53.3/3.47843
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6784059
Info:Lattice Sieving: Average J: 4096 for 90460 special-q, max bucket fill: 0.644548
Info:Lattice Sieving: Total CPU time: 74167.3s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 16.7/18.8296
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 90.53/28.5635
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.84/28.8658
Info:Filtering - Merging: Total cpu/real time for merge: 150.28/118.399
Info:Filtering - Merging: Total cpu/real time for replay: 16.42/12.3455
Info:Linear Algebra: Total cpu/real time for bwc: 4764.95/0.000332832
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 196.53
Info:Linear Algebra: Lingen CPU time 100.34, WCT time 10.03
Info:Linear Algebra: Mksol: WCT time 108.49
Info:Quadratic Characters: Total cpu/real time for characters: 15.91/3.75868
Info:Square Root: Total cpu/real time for sqrt: 322.12/47.0076
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 80940.2/5559.06
Info:root: Cleaning up computation data in /tmp/cado.1_mr164z
2967191437306637397835316014745955553270599620110357 17674568290948805098993340522903901490160708281518823939751543903

END:Wed 29 Dec 2021 15:32:35 AEDT (52,443,827,690,994,702,723,714,107,522,551,794,655,421,969,486,455,808,650,478,350,031,321,311,064,321,257,542,946,476,321,533,386,887,084,277,990,503,371 - C116)

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)

4×10150-3199

c124

name 名前Ignacio Santos
date 日付December 30, 2021 10:49:04 UTC 2021 年 12 月 30 日 (木) 19 時 49 分 4 秒 (日本時間)
composite number 合成数
6600407358631769267399271923482014283123076322756786015498724543927975415574007090058178483424968661489628638281027058699411<124>
prime factors 素因数
591267447854755166930216510202986151223860643<45>
11163150250499092522451742286961318315834140761385194944974687969322401247159377<80>
factorization results 素因数分解の結果
N=6600407358631769267399271923482014283123076322756786015498724543927975415574007090058178483424968661489628638281027058699411
  ( 124 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=591267447854755166930216510202986151223860643 (pp45)
 r2=11163150250499092522451742286961318315834140761385194944974687969322401247159377 (pp80)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.46 hours.
Scaled time: 65.69 units (timescale=7.764).
Factorization parameters were as follows:
n: 6600407358631769267399271923482014283123076322756786015498724543927975415574007090058178483424968661489628638281027058699411
m: 1000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 1.332e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 381635 x 381864
Total sieving time: 8.39 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 8.46 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)

4×10151-3199

c145

name 名前Ignacio Santos
date 日付December 30, 2021 20:05:25 UTC 2021 年 12 月 31 日 (金) 5 時 5 分 25 秒 (日本時間)
composite number 合成数
3558519090253919019314840955102965305061610865083997508680784913231294577679847332413989926366233354693344172582482246770666166338882576965652551<145>
prime factors 素因数
2043769202347839972175167029953925856011676940049182098474506661188053<70>
1741155061034272152287784830745376180423158163477937137142185300631726001067<76>
factorization results 素因数分解の結果
N=3558519090253919019314840955102965305061610865083997508680784913231294577679847332413989926366233354693344172582482246770666166338882576965652551
  ( 145 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=2043769202347839972175167029953925856011676940049182098474506661188053 (pp70)
 r2=1741155061034272152287784830745376180423158163477937137142185300631726001067 (pp76)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.65 hours.
Scaled time: 68.30 units (timescale=7.893).
Factorization parameters were as follows:
n: 3558519090253919019314840955102965305061610865083997508680784913231294577679847332413989926366233354693344172582482246770666166338882576965652551
m: 1000000000000000000000000000000
deg: 5
c5: 40
c0: -319
skew: 1.51
# Murphy_E = 1.283e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 344295 x 344521
Total sieving time: 8.58 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 8.65 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)

4×10153-3199

c137

name 名前Ignacio Santos
date 日付January 1, 2022 11:17:16 UTC 2022 年 1 月 1 日 (土) 20 時 17 分 16 秒 (日本時間)
composite number 合成数
23910655223018167957449921228438832146656582267806517398749833209697773808073480188311266437174675699217233951575830344505350151726018347<137>
prime factors 素因数
290769101577989327250806919737801405219061992085716623941061<60>
82232448679231189242334865990857993508905406620232823739695454539388031047727<77>
factorization results 素因数分解の結果
N=23910655223018167957449921228438832146656582267806517398749833209697773808073480188311266437174675699217233951575830344505350151726018347
  ( 137 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=290769101577989327250806919737801405219061992085716623941061 (pp60)
 r2=82232448679231189242334865990857993508905406620232823739695454539388031047727 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.13 hours.
Scaled time: 87.25 units (timescale=7.837).
Factorization parameters were as follows:
n: 23910655223018167957449921228438832146656582267806517398749833209697773808073480188311266437174675699217233951575830344505350151726018347
m: 2000000000000000000000000000000
deg: 5
c5: 125
c0: -319
skew: 1.21
# Murphy_E = 9.152e-10
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 415568 x 415793
Total sieving time: 11.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 11.13 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)

4×10155-3199

c130

name 名前Ignacio Santos
date 日付January 2, 2022 11:38:06 UTC 2022 年 1 月 2 日 (日) 20 時 38 分 6 秒 (日本時間)
composite number 合成数
9647596215648202015632175660616930372891119747795698573566038171434879147494012678665723339740962336110685716986409652325284058557<130>
prime factors 素因数
4406383001967728462650512539303409679055381607331916311133909953<64>
2189459293788111620217901599424670119250062741007361706587751100669<67>
factorization results 素因数分解の結果
N=9647596215648202015632175660616930372891119747795698573566038171434879147494012678665723339740962336110685716986409652325284058557
  ( 130 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=4406383001967728462650512539303409679055381607331916311133909953 (pp64)
 r2=2189459293788111620217901599424670119250062741007361706587751100669 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 12.03 hours.
Scaled time: 94.61 units (timescale=7.862).
Factorization parameters were as follows:
n: 9647596215648202015632175660616930372891119747795698573566038171434879147494012678665723339740962336110685716986409652325284058557
m: 10000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 8.584e-10
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, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 474961 x 475192
Total sieving time: 11.95 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: 12.03 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)

4×10156-3199

c151

name 名前Ignacio Santos
date 日付January 2, 2022 21:38:17 UTC 2022 年 1 月 3 日 (月) 6 時 38 分 17 秒 (日本時間)
composite number 合成数
3088586053026389651383570729778834074207912803038550958967362139031156883956416962205744615629326433432090872378852142436323007418011552856131345210491<151>
prime factors 素因数
1701108839118811917647273487417472272402614231879<49>
1815631064868431409535807596851822761187131185725133234207400656083052326983993106421627292023943434029<103>
factorization results 素因数分解の結果
N=3088586053026389651383570729778834074207912803038550958967362139031156883956416962205744615629326433432090872378852142436323007418011552856131345210491
  ( 151 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=1701108839118811917647273487417472272402614231879 (pp49)
 r2=1815631064868431409535807596851822761187131185725133234207400656083052326983993106421627292023943434029 (pp103)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.33 hours.
Scaled time: 88.44 units (timescale=7.806).
Factorization parameters were as follows:
n: 3088586053026389651383570729778834074207912803038550958967362139031156883956416962205744615629326433432090872378852142436323007418011552856131345210491
m: 10000000000000000000000000000000
deg: 5
c5: 40
c0: -319
skew: 1.51
# Murphy_E = 8.266e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 473962 x 474193
Total sieving time: 11.24 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,156.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 11.33 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)

4×10160-3199

c158

name 名前Ignacio Santos
date 日付January 3, 2022 20:06:24 UTC 2022 年 1 月 4 日 (火) 5 時 6 分 24 秒 (日本時間)
composite number 合成数
23269342641070389761489237929028504944735311227457824316463059918557300756253635834787667248400232693426410703897614892379290285049447353112274578243164630599<158>
prime factors 素因数
638509202610681125051141951125314746884899201365969055044788876425795059<72>
36443237694818989257904215163702500369655888398052284237435835873177153416294093748061<86>
factorization results 素因数分解の結果
N=23269342641070389761489237929028504944735311227457824316463059918557300756253635834787667248400232693426410703897614892379290285049447353112274578243164630599
  ( 158 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=638509202610681125051141951125314746884899201365969055044788876425795059 (pp72)
 r2=36443237694818989257904215163702500369655888398052284237435835873177153416294093748061 (pp86)
Version: Msieve v. 1.52 (SVN 927)
Total time: 17.26 hours.
Scaled time: 136.37 units (timescale=7.899).
Factorization parameters were as follows:
n: 23269342641070389761489237929028504944735311227457824316463059918557300756253635834787667248400232693426410703897614892379290285049447353112274578243164630599
m: 100000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 5.505e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1650000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 620325 x 620552
Total sieving time: 17.12 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 17.26 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)

4×10165-3199

c117

name 名前Bob Backstrom
date 日付January 2, 2022 06:30:30 UTC 2022 年 1 月 2 日 (日) 15 時 30 分 30 秒 (日本時間)
composite number 合成数
904253378661380869552801893425735877196127096915598038225097765881890322640679114647503580586420034059405880780547967<117>
prime factors 素因数
220320446115826260267553388970543745901<39>
4104264468427951825341685656704550468080488194155109065394500896125676353232667<79>
factorization results 素因数分解の結果
CADO

STA:Sun 02 Jan 2022 15:15:17 AEDT (904,253,378,661,380,869,552,801,893,425,735,877,196,127,096,915,598,038,225,097,765,881,890,322,640,679,114,647,503,580,586,420,034,059,405,880,780,547,967 - C117)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 904253378661380869552801893425735877196127096915598038225097765881890322640679114647503580586420034059405880780547967 2>&1 | tee -a log149

Debug:root: Looking for parameter file for c117 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.h2tv7ot3
Info:Database: Opened connection to database /tmp/cado.h2tv7ot3/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 9042533786613808695528018934257358771961270969155980382250977658818903226406791146475
03580586420034059405880780547967
Debug:root: Root parameter dictionary:
N = 904253378661380869552801893425735877196127096915598038225097765881890322640679114647503580586420034059405880780547967
lim0 = 5484593
lim1 = 2800829
lpb0 = 26
lpb1 = 26
name = c115
...
n: 904253378661380869552801893425735877196127096915598038225097765881890322640679114647503580586420034059405880780547967
skew: 1988807.643
c0: -1117590258216143665879962482600
c1: 7028923421573925016237414
c2: -39652130126123237
c3: -251234214906
c4: 338520
Y0: -7207839896765147985419870413
Y1: 100766236774165907339
# MurphyE (Bf=2.80e+06,Bg=5.48e+06,area=9.40e+13) = 1.45e-09
# f(x) = 338520*x^4-251234214906*x^3-39652130126123237*x^2+7028923421573925016237414*x-1117590258216143665879962482600
# g(x) = 100766236774165907339*x-7207839896765147985419870413
...
Info:Square Root: finished
Info:Square Root: Factors: 4104264468427951825341685656704550468080488194155109065394500896125676353232667 220320446115826260267553388970543745901
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 355.68/51.8711
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): 56638/39.850/44.701/47.360/0.593
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 56638/38.500/43.995/46.040/0.987
Info:Polynomial Selection (size optimized): Total time: 1115.74
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 149.48
Info:Polynomial Selection (root optimized): Rootsieve time: 148.86
Info:Generate Factor Base: Total cpu/real time for makefb: 2.69/0.288214
Info:Generate Free Relations: Total cpu/real time for freerel: 53.17/3.52458
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6780466
Info:Lattice Sieving: Average J: 4096 for 108817 special-q, max bucket fill: 0.693618
Info:Lattice Sieving: Total CPU time: 85420.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 17.22/20.2635
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 91.46/29.9274
Info:Filtering - Singleton removal: Total cpu/real time for purge: 67.57/27.484
Info:Filtering - Merging: Total cpu/real time for merge: 163.99/128.797
Info:Filtering - Merging: Total cpu/real time for replay: 17.6/13.6362
Info:Linear Algebra: Total cpu/real time for bwc: 5749.77/0.000337601
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 233.73
Info:Linear Algebra: Lingen CPU time 108.0, WCT time 10.9
Info:Linear Algebra: Mksol: WCT time 135.86
Info:Quadratic Characters: Total cpu/real time for characters: 17.73/4.23641
Info:Square Root: Total cpu/real time for sqrt: 355.68/51.8711
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 93223/6388.15
Info:root: Cleaning up computation data in /tmp/cado.h2tv7ot3
4104264468427951825341685656704550468080488194155109065394500896125676353232667 220320446115826260267553388970543745901

END:Sun 02 Jan 2022 17:01:46 AEDT (904,253,378,661,380,869,552,801,893,425,735,877,196,127,096,915,598,038,225,097,765,881,890,322,640,679,114,647,503,580,586,420,034,059,405,880,780,547,967 - C117)

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)

4×10166-3199

c147

name 名前Ignacio Santos
date 日付January 5, 2022 09:07:57 UTC 2022 年 1 月 5 日 (水) 18 時 7 分 57 秒 (日本時間)
composite number 合成数
105833257408364883368122843097602912388218659422116852439770898349848516559124782134853863316963639780375201318522257663303848933730030803850735759<147>
prime factors 素因数
4049190064059596539549930924512565620769379<43>
26136895461572785002278621251157203583209226416889482995153833346308639679096944448990823526964935957221<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2683288667
Step 1 took 5906ms
Step 2 took 3360ms
********** Factor found in step 2: 4049190064059596539549930924512565620769379
Found prime factor of 43 digits: 4049190064059596539549930924512565620769379
Prime cofactor 26136895461572785002278621251157203583209226416889482995153833346308639679096944448990823526964935957221 has 104 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)

4×10168-3199

c166

name 名前Bob Backstrom
date 日付January 4, 2022 22:34:32 UTC 2022 年 1 月 5 日 (水) 7 時 34 分 32 秒 (日本時間)
composite number 合成数
3734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911<166>
prime factors 素因数
39542723043869847915487495785690018071255321<44>
94450431754421739451091552965340747914211599440755082087102548035621622374256859642220920389718056394156597712404198866791<122>
factorization results 素因数分解の結果
Number: n
N=3734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911  ( 166 digits)
SNFS difficulty: 168 digits.
Divisors found:

Wed Jan  5 09:21:08 2022  p44 factor: 39542723043869847915487495785690018071255321
Wed Jan  5 09:21:08 2022  p122 factor: 94450431754421739451091552965340747914211599440755082087102548035621622374256859642220920389718056394156597712404198866791
Wed Jan  5 09:21:08 2022  elapsed time 00:14:03 (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 = 4x10^168-319 = 8(166)18
#
n: 3734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911297852474323062558356676003734827264239028944911
m: 2000000000000000000000000000000000
deg: 5
c5: 125
c0: -319
skew: 1.21
# Murphy_E = 2.398e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 65450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1937490 hash collisions in 20655723 relations (19624821 unique)
Msieve: matrix is 776632 x 776879 (198.4 MB)

Sieving start time : 2022/01/05 01:57:53
Sieving end time  : 2022/01/05 09:04:16

Total sieving time: 7hrs 6min 23secs.

Total relation processing time: 0hrs 7min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 43sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)

4×10169-3199

c168

name 名前Bob Backstrom
date 日付January 4, 2022 08:15:52 UTC 2022 年 1 月 4 日 (火) 17 時 15 分 52 秒 (日本時間)
composite number 合成数
193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497583<168>
prime factors 素因数
324678236575453903537340984804967402231959233<45>
595163744308861252780692099689254792199918696376030418101577696941557807719099860532608498787895196487059368487734637499951<123>
factorization results 素因数分解の結果
Number: n
N=193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497583  ( 168 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue Jan  4 19:10:35 2022  p45 factor: 324678236575453903537340984804967402231959233
Tue Jan  4 19:10:35 2022  p123 factor: 595163744308861252780692099689254792199918696376030418101577696941557807719099860532608498787895196487059368487734637499951
Tue Jan  4 19:10:35 2022  elapsed time 00:11:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.295).
Factorization parameters were as follows:
#
# N = 4x10^169-319 = 8(167)18
#
n: 193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497584541062801932367149758454106280193236714975845410628019323671497583
m: 10000000000000000000000000000000000
deg: 5
c5: 2
c0: -1595
skew: 3.80
# Murphy_E = 2.01e-10
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2623416 hash collisions in 19183105 relations (17205155 unique)
Msieve: matrix is 642977 x 643202 (216.8 MB)

Sieving start time : 2022/01/04 18:02:10
Sieving end time  : 2022/01/04 18:59:01

Total sieving time: 0hrs 56min 51secs.

Total relation processing time: 0hrs 6min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)

4×10171-3199

c134

name 名前Ignacio Santos
date 日付January 4, 2022 17:36:55 UTC 2022 年 1 月 5 日 (水) 2 時 36 分 55 秒 (日本時間)
composite number 合成数
80188154061121213849781493847562440101416588070486817997693122817833860069920863557938344411716873835624013161003803349958899744374103<134>
prime factors 素因数
2866564655930603624634389047509673<34>
27973607326533115813363949681555425225561767334403792077691980811469022511563961517831424987750694911<101>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:227893176
Step 1 took 4782ms
Step 2 took 3187ms
********** Factor found in step 2: 2866564655930603624634389047509673
Found prime factor of 34 digits: 2866564655930603624634389047509673
Prime cofactor 27973607326533115813363949681555425225561767334403792077691980811469022511563961517831424987750694911 has 101 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)

4×10172-3199

c134

name 名前Ignacio Santos
date 日付January 4, 2022 17:38:28 UTC 2022 年 1 月 5 日 (水) 2 時 38 分 28 秒 (日本時間)
composite number 合成数
23213552234163629431429020762013211267325934627185053235189198091879444471824743899236937807517864981212180194362306224806986476177261<134>
prime factors 素因数
288101178724716408852114927722810965834253<42>
80574304960912407287697492516870086939809766951986883628937677650690462687857816566081178337<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4004694556
Step 1 took 4718ms
Step 2 took 3266ms
********** Factor found in step 2: 288101178724716408852114927722810965834253
Found prime factor of 42 digits: 288101178724716408852114927722810965834253
Prime cofactor 80574304960912407287697492516870086939809766951986883628937677650690462687857816566081178337 has 92 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)

4×10173-3199

c154

name 名前Bob Backstrom
date 日付January 6, 2022 16:53:36 UTC 2022 年 1 月 7 日 (金) 1 時 53 分 36 秒 (日本時間)
composite number 合成数
2319756847144222097633532392917262590816674173711831866977686576861880419483277215794260319785680862380004956976301970707029050843191278213763668799357853<154>
prime factors 素因数
3926891904106022551392932359548513951564629443<46>
37702057614545640473378852738883723368808323327<47>
15668537666216668751351518840830762171341497293882091879407073<62>
factorization results 素因数分解の結果
Number: n
N=2319756847144222097633532392917262590816674173711831866977686576861880419483277215794260319785680862380004956976301970707029050843191278213763668799357853  ( 154 digits)
SNFS difficulty: 173 digits.
Divisors found:

Fri Jan  7 03:42:30 2022  found factor: 15668537666216668751351518840830762171341497293882091879407073
Fri Jan  7 03:43:09 2022  p46 factor: 3926891904106022551392932359548513951564629443
Fri Jan  7 03:43:09 2022  p47 factor: 37702057614545640473378852738883723368808323327
Fri Jan  7 03:43:09 2022  p62 factor: 15668537666216668751351518840830762171341497293882091879407073
Fri Jan  7 03:43:09 2022  elapsed time 00:14:00 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 4x10^173-319 = 8(171)18
#
n: 2319756847144222097633532392917262590816674173711831866977686576861880419483277215794260319785680862380004956976301970707029050843191278213763668799357853
m: 20000000000000000000000000000000000
deg: 5
c5: 125
c0: -319
skew: 1.21
# Murphy_E = 1.52e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3138343 hash collisions in 20601585 relations (18076249 unique)
Msieve: matrix is 724344 x 724569 (245.3 MB)

Sieving start time : 2022/01/07 01:58:11
Sieving end time  : 2022/01/07 03:28:44

Total sieving time: 1hrs 30min 33secs.

Total relation processing time: 0hrs 7min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 18sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117851] 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 11:44:14 UTC 2022 年 1 月 4 日 (火) 20 時 44 分 14 秒 (日本時間)

4×10175-3199

c175

name 名前Bob Backstrom
date 日付January 3, 2022 11:25:51 UTC 2022 年 1 月 3 日 (月) 20 時 25 分 51 秒 (日本時間)
composite number 合成数
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409<175>
prime factors 素因数
28399492844860269060633534831576059729634287690172780013101026171456282017011963654799<86>
156497317354341366288814034455152148476063011156363685035070500536948105839254924918182391<90>
factorization results 素因数分解の結果
Number: n
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409  ( 175 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon Jan  3 22:15:02 2022  p86 factor: 28399492844860269060633534831576059729634287690172780013101026171456282017011963654799
Mon Jan  3 22:15:02 2022  p90 factor: 156497317354341366288814034455152148476063011156363685035070500536948105839254924918182391
Mon Jan  3 22:15:02 2022  elapsed time 00:22:44 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 4x10^175-319 = 8(173)18
#
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
m: 100000000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 1.411e-10
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4254150 hash collisions in 30990711 relations (28356025 unique)
Msieve: matrix is 866083 x 866311 (288.6 MB)

Sieving start time : 2022/01/03 20:02:02
Sieving end time  : 2022/01/03 21:25:16

Total sieving time: 1hrs 23min 14secs.

Total relation processing time: 0hrs 11min 10sec.
Matrix solve time: 0.00 hours.


Mon Jan  3 22:10:58 2022  commencing square root phase
Mon Jan  3 22:10:58 2022  reading relations for dependency 1
Mon Jan  3 22:10:58 2022  read 433998 cycles
Mon Jan  3 22:10:59 2022  cycles contain 1106292 unique relations
Mon Jan  3 22:11:04 2022  read 1106292 relations
Mon Jan  3 22:11:06 2022  multiplying 1106292 relations
Mon Jan  3 22:11:21 2022  multiply complete, coefficients have about 27.95 million bits
Mon Jan  3 22:11:21 2022  initial square root is modulo 106499461
Mon Jan  3 22:11:39 2022  GCD is 1, no factor found
Mon Jan  3 22:11:39 2022  reading relations for dependency 2
Mon Jan  3 22:11:39 2022  read 433377 cycles
Mon Jan  3 22:11:40 2022  cycles contain 1106094 unique relations
Mon Jan  3 22:11:45 2022  read 1106094 relations
Mon Jan  3 22:11:47 2022  multiplying 1106094 relations
Mon Jan  3 22:12:01 2022  multiply complete, coefficients have about 27.95 million bits
Mon Jan  3 22:12:02 2022  initial square root is modulo 106383181
Mon Jan  3 22:12:20 2022  GCD is 1, no factor found
Mon Jan  3 22:12:20 2022  reading relations for dependency 3
Mon Jan  3 22:12:20 2022  read 432642 cycles
Mon Jan  3 22:12:20 2022  cycles contain 1105178 unique relations
Mon Jan  3 22:12:25 2022  read 1105178 relations
Mon Jan  3 22:12:28 2022  multiplying 1105178 relations
Mon Jan  3 22:12:42 2022  multiply complete, coefficients have about 27.93 million bits
Mon Jan  3 22:12:42 2022  initial square root is modulo 104644961
Mon Jan  3 22:13:01 2022  GCD is N, no factor found
Mon Jan  3 22:13:01 2022  reading relations for dependency 4
Mon Jan  3 22:13:01 2022  read 432692 cycles
Mon Jan  3 22:13:01 2022  cycles contain 1105392 unique relations
Mon Jan  3 22:13:06 2022  read 1105392 relations
Mon Jan  3 22:13:09 2022  multiplying 1105392 relations
Mon Jan  3 22:13:23 2022  multiply complete, coefficients have about 27.93 million bits
Mon Jan  3 22:13:23 2022  initial square root is modulo 105008051
Mon Jan  3 22:13:41 2022  GCD is N, no factor found
Mon Jan  3 22:13:41 2022  reading relations for dependency 5
Mon Jan  3 22:13:41 2022  read 432709 cycles
Mon Jan  3 22:13:42 2022  cycles contain 1104400 unique relations
Mon Jan  3 22:13:47 2022  read 1104400 relations
Mon Jan  3 22:13:49 2022  multiplying 1104400 relations
Mon Jan  3 22:14:03 2022  multiply complete, coefficients have about 27.91 million bits
Mon Jan  3 22:14:03 2022  initial square root is modulo 103416811

Mon Jan  3 22:14:22 2022  Newton iteration failed to converge
Mon Jan  3 22:14:22 2022  algebraic square root failed

Mon Jan  3 22:14:22 2022  reading relations for dependency 6
Mon Jan  3 22:14:22 2022  read 433441 cycles
Mon Jan  3 22:14:22 2022  cycles contain 1104966 unique relations
Mon Jan  3 22:14:27 2022  read 1104966 relations
Mon Jan  3 22:14:30 2022  multiplying 1104966 relations
Mon Jan  3 22:14:44 2022  multiply complete, coefficients have about 27.92 million bits
Mon Jan  3 22:14:44 2022  initial square root is modulo 104277401
Mon Jan  3 22:15:02 2022  sqrtTime: 244


Total square root time: 0hrs 4min 4sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116212] 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)

4×10179-3199

c126

name 名前Ignacio Santos
date 日付January 5, 2022 13:53:56 UTC 2022 年 1 月 5 日 (水) 22 時 53 分 56 秒 (日本時間)
composite number 合成数
103128599921314173891917406009668911742701655430704105929365025490318500399773599598192598492966923624443233649849039773132501<126>
prime factors 素因数
5129347829363564765318943518858964048037<40>
20105596920322341288035730993221135627779418132109117894842478945627244718592173903473<86>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3426647808
Step 1 took 4859ms
********** Factor found in step 1: 5129347829363564765318943518858964048037
Found prime factor of 40 digits: 5129347829363564765318943518858964048037
Prime cofactor 20105596920322341288035730993221135627779418132109117894842478945627244718592173903473 has 86 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)

4×10180-3199

c176

name 名前Bob Backstrom
date 日付January 14, 2022 00:41:16 UTC 2022 年 1 月 14 日 (金) 9 時 41 分 16 秒 (日本時間)
composite number 合成数
30776569797413229308527418076618270510660234363579007301741184436288653448129938677684678654140602759119482338096007509483030568827951280690010694858004601097184713277781624849<176>
prime factors 素因数
897028867164971966613021255404359442607576883<45>
417569751430395208088415889350933981462344647831<48>
82164603462801518467018266822666225060749982197251700253918744554402406689657497613<83>
factorization results 素因数分解の結果
Number: n
N=30776569797413229308527418076618270510660234363579007301741184436288653448129938677684678654140602759119482338096007509483030568827951280690010694858004601097184713277781624849  ( 176 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri Jan 14 11:34:29 2022  found factor: 897028867164971966613021255404359442607576883
Fri Jan 14 11:35:14 2022  p45 factor: 897028867164971966613021255404359442607576883
Fri Jan 14 11:35:14 2022  p48 factor: 417569751430395208088415889350933981462344647831
Fri Jan 14 11:35:14 2022  p83 factor: 82164603462801518467018266822666225060749982197251700253918744554402406689657497613
Fri Jan 14 11:35:14 2022  elapsed time 00:20:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 4x10^180-319 = 8(178)18
#
n: 30776569797413229308527418076618270510660234363579007301741184436288653448129938677684678654140602759119482338096007509483030568827951280690010694858004601097184713277781624849
m: 1000000000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 8.877e-11
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2895378 hash collisions in 30540026 relations (28907124 unique)
Msieve: matrix is 873718 x 873944 (296.5 MB)

Sieving start time : 2022/01/14 06:52:17
Sieving end time  : 2022/01/14 11:13:35

Total sieving time: 4hrs 21min 18secs.

Total relation processing time: 0hrs 11min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
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 15:01:56 UTC 2022 年 1 月 6 日 (木) 0 時 1 分 56 秒 (日本時間)

4×10182-3199

c169

name 名前Bob Backstrom
date 日付January 26, 2022 22:53:39 UTC 2022 年 1 月 27 日 (木) 7 時 53 分 39 秒 (日本時間)
composite number 合成数
8604475572696479038177652582882832087784159271182400808552222615576163119938772280847594020429229559213332973220868669579037119885399898070512621144383367298108986958067<169>
prime factors 素因数
3171170686407985789648212926054186337314852076910877467<55>
2713343564121692761378712901777413800868215172939322521966922522474921701369451594761957146544107337886651281921801<115>
factorization results 素因数分解の結果
Number: n
N=8604475572696479038177652582882832087784159271182400808552222615576163119938772280847594020429229559213332973220868669579037119885399898070512621144383367298108986958067  ( 169 digits)
SNFS difficulty: 182 digits.
Divisors found:

Thu Jan 27 09:45:39 2022  p55 factor: 3171170686407985789648212926054186337314852076910877467
Thu Jan 27 09:45:39 2022  p115 factor: 2713343564121692761378712901777413800868215172939322521966922522474921701369451594761957146544107337886651281921801
Thu Jan 27 09:45:39 2022  elapsed time 00:34:21 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 4x10^182-319 = 8(180)18
#
n: 8604475572696479038177652582882832087784159271182400808552222615576163119938772280847594020429229559213332973220868669579037119885399898070512621144383367298108986958067
m: 1000000000000000000000000000000000000
deg: 5
c5: 400
c0: -319
skew: 0.96
# Murphy_E = 5.488e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 31050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5413109 hash collisions in 40655515 relations (36647688 unique)
Msieve: matrix is 1446979 x 1447211 (224.7 MB)

Sieving start time : 2022/01/26 23:51:33
Sieving end time  : 2022/01/27 09:09:18

Total sieving time: 9hrs 17min 45secs.

Total relation processing time: 0hrs 21min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 3sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
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 5, 2022 21:18:34 UTC 2022 年 1 月 6 日 (木) 6 時 18 分 34 秒 (日本時間)

4×10184-3199

c154

name 名前Ray Chandler
date 日付January 30, 2022 21:31:05 UTC 2022 年 1 月 31 日 (月) 6 時 31 分 5 秒 (日本時間)
composite number 合成数
3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361<154>
prime factors 素因数
30966868970275691617104042850551261166628153099467391<53>
110992578956990138564596278260847621102595407226478151144230230450198309801037113775837133422418860671<102>
factorization results 素因数分解の結果
01/30/22 12:15:14, 
01/30/22 12:15:14, ****************************
01/30/22 12:15:14, Starting factorization of 8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888818
01/30/22 12:15:14, using pretesting plan: normal
01/30/22 12:15:14, using specified qs/gnfs crossover of 100 digits
01/30/22 12:15:14, using specified qs/snfs crossover of 75 digits
01/30/22 12:15:14, ****************************
01/30/22 12:15:14, div: found prime factor = 230966868970275691617104042850551261166628153099467391
01/30/22 12:15:14, div: found prime factor = 17
01/30/22 12:15:14, rho: x^2 + 3, starting 1000 iterations on C183
01/30/22 12:15:15, prp10 = 3050172859
01/30/22 12:15:15, rho: x^2 + 3, starting 1000 iterations on C173
01/30/22 12:15:15, rho: x^2 + 2, starting 1000 iterations on C173
01/30/22 12:15:15, rho: x^2 + 1, starting 1000 iterations on C173
01/30/22 12:15:15, nfs: input divides 10^187 - 79750
01/30/22 12:15:15, nfs: using supplied cofactor: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, nfs: input divides 10^187 - 79750
01/30/22 12:15:15, nfs: using supplied cofactor: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, nfs: commencing snfs on c173: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, pm1: starting B1 = 150K, B2 = gmp-ecm default on C173
01/30/22 12:15:15, nfs: input divides 10^187 - 79750
01/30/22 12:15:15, nfs: using supplied cofactor: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, nfs: commencing snfs on c173: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, current ECM pretesting depth: 0.00
01/30/22 12:15:15, scheduled 30 curves at B1=2000 toward target pretesting depth of 41.40
01/30/22 12:15:15, ecm: commencing 48 curves using AVX-ECM method on 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203, B1=2k, B2=200k
01/30/22 12:15:15, ecm: finished 384 curves using AVX-ECM method on C173 input, B1=2k, B2=200k
01/30/22 12:15:15, nfs: input divides 10^187 - 79750
01/30/22 12:15:15, nfs: using supplied cofactor: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, nfs: commencing snfs on c173: 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203
01/30/22 12:15:15, current ECM pretesting depth: 17.27
01/30/22 12:15:15, scheduled 74 curves at B1=11000 toward target pretesting depth of 41.40
01/30/22 12:15:16, ecm: commencing 96 curves using AVX-ECM method on 85712489285752977104892286917173245484932356523949201499499911465884494925168830444431898660245819674021463952717619992057529878707237911648901817678231624685775273889436203, B1=11k, B2=1100k
01/30/22 12:15:16, ecm: finished 0 curves using AVX-ECM method on C173 input, B1=11k, B2=1100k
01/30/22 12:15:16, prp20 = 24937497482022426923 (curve=40 stg=2 B1=11000 B2=1100000 sigma=1887746067 thread=5 vecpos=0)
01/30/22 12:15:16, nfs: input divides 10^187 - 79750
01/30/22 12:15:16, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:16, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:16, current ECM pretesting depth: 17.27
01/30/22 12:15:16, scheduled 74 curves at B1=11000 toward target pretesting depth of 36.86
01/30/22 12:15:16, ecm: commencing 96 curves using AVX-ECM method on 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361, B1=11k, B2=1100k
01/30/22 12:15:17, ecm: finished 384 curves using AVX-ECM method on C154 input, B1=11k, B2=1100k
01/30/22 12:15:17, nfs: input divides 10^187 - 79750
01/30/22 12:15:17, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:17, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:17, current ECM pretesting depth: 21.28
01/30/22 12:15:17, scheduled 214 curves at B1=50000 toward target pretesting depth of 36.86
01/30/22 12:15:17, ecm: commencing 240 curves using AVX-ECM method on 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361, B1=50k, B2=5M
01/30/22 12:15:18, ecm: finished 384 curves using AVX-ECM method on C154 input, B1=50k, B2=5M
01/30/22 12:15:18, nfs: input divides 10^187 - 79750
01/30/22 12:15:18, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:18, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:18, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C154
01/30/22 12:15:19, nfs: input divides 10^187 - 79750
01/30/22 12:15:19, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:19, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:19, current ECM pretesting depth: 25.62
01/30/22 12:15:19, scheduled 430 curves at B1=250000 toward target pretesting depth of 36.86
01/30/22 12:15:21, ecm: commencing 432 curves using AVX-ECM method on 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361, B1=250k, B2=25M
01/30/22 12:15:28, ecm: finished 768 curves using AVX-ECM method on C154 input, B1=250k, B2=25M
01/30/22 12:15:28, nfs: input divides 10^187 - 79750
01/30/22 12:15:28, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:28, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:28, pm1: starting B1 = 15M, B2 = gmp-ecm default on C154
01/30/22 12:15:32, nfs: input divides 10^187 - 79750
01/30/22 12:15:32, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:32, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:15:32, current ECM pretesting depth: 30.81
01/30/22 12:15:32, scheduled 904 curves at B1=1000000 toward target pretesting depth of 36.86
01/30/22 12:15:34, ecm: commencing 912 curves using AVX-ECM method on 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361, B1=1M, B2=100M
01/30/22 12:16:14, ecm: finished 1152 curves using AVX-ECM method on C154 input, B1=1M, B2=100M
01/30/22 12:16:15, nfs: input divides 10^187 - 79750
01/30/22 12:16:15, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:16:15, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:16:15, current ECM pretesting depth: 35.72
01/30/22 12:16:15, scheduled 533 curves at B1=3000000 toward target pretesting depth of 36.86
01/30/22 12:16:17, ecm: commencing 576 curves using AVX-ECM method on 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361, B1=3M, B2=300M
01/30/22 12:17:35, ecm: finished 768 curves using AVX-ECM method on C154 input, B1=3M, B2=300M
01/30/22 12:17:36, nfs: input divides 10^187 - 79750
01/30/22 12:17:36, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:17:36, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:17:36, final ECM pretested depth: 37.36
01/30/22 12:17:36, scheduler: switching to sieve method
01/30/22 12:17:36, nfs: commencing nfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:17:36, nfs: input divides 10^187 - 79750
01/30/22 12:17:36, nfs: using supplied cofactor: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:17:36, nfs: commencing snfs on c154: 3437092649234092610091197598911976550727247216973502888077920986617677717353959460775775754629663357930805127572559222610028168347258179419975643136879361
01/30/22 12:17:38, test: fb generation took 1.3745 seconds
01/30/22 12:17:38, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000
skew: 5.2127
c5: 2
c0: -1595
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 12:18:46, nfs: parsing special-q from .dat file
01/30/22 12:18:46, test: new best estimated total sieving time = 1h 47m 24s (with 48 threads)
01/30/22 12:18:48, test: fb generation took 1.3607 seconds
01/30/22 12:18:48, test: commencing test sieving of polynomial 1 on the rational side over range 12000000-12001000
skew: 10.1211
c5: 1
c0: -25520
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 12:19:55, nfs: parsing special-q from .dat file
01/30/22 12:19:55, test: estimated total sieving time = 1h 56m 21s (with 48 threads)
01/30/22 12:19:57, test: fb generation took 1.9482 seconds
01/30/22 12:19:57, test: commencing test sieving of polynomial 2 on the algebraic side over range 11000000-11001000
skew: 5.2297
c6: 1
c0: -7975
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11000000
alim: 11000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 12:21:18, nfs: parsing special-q from .dat file
01/30/22 12:21:18, test: estimated total sieving time = 2h 8m 49s (with 48 threads)
01/30/22 12:21:18, nfs: commencing lattice sieving with 48 threads
01/30/22 12:23:56, nfs: commencing lattice sieving with 48 threads
01/30/22 12:26:36, nfs: commencing lattice sieving with 48 threads
01/30/22 12:29:10, nfs: commencing lattice sieving with 48 threads
01/30/22 12:31:50, nfs: commencing lattice sieving with 48 threads
01/30/22 12:34:18, nfs: commencing lattice sieving with 48 threads
01/30/22 12:36:54, nfs: commencing lattice sieving with 48 threads
01/30/22 12:39:33, nfs: commencing lattice sieving with 48 threads
01/30/22 12:42:11, nfs: commencing lattice sieving with 48 threads
01/30/22 12:44:44, nfs: commencing lattice sieving with 48 threads
01/30/22 12:47:22, nfs: commencing lattice sieving with 48 threads
01/30/22 12:50:02, nfs: commencing lattice sieving with 48 threads
01/30/22 12:52:45, nfs: commencing lattice sieving with 48 threads
01/30/22 12:55:21, nfs: commencing lattice sieving with 48 threads
01/30/22 12:58:02, nfs: commencing lattice sieving with 48 threads
01/30/22 13:00:39, nfs: commencing lattice sieving with 48 threads
01/30/22 13:03:10, nfs: commencing lattice sieving with 48 threads
01/30/22 13:05:54, nfs: commencing lattice sieving with 48 threads
01/30/22 13:08:29, nfs: commencing lattice sieving with 48 threads
01/30/22 13:11:07, nfs: commencing lattice sieving with 48 threads
01/30/22 13:13:49, nfs: commencing lattice sieving with 48 threads
01/30/22 13:16:27, nfs: commencing lattice sieving with 48 threads
01/30/22 13:19:08, nfs: commencing lattice sieving with 48 threads
01/30/22 13:21:54, nfs: commencing lattice sieving with 48 threads
01/30/22 13:24:29, nfs: commencing lattice sieving with 48 threads
01/30/22 13:27:07, nfs: commencing lattice sieving with 48 threads
01/30/22 13:29:51, nfs: commencing lattice sieving with 48 threads
01/30/22 13:32:36, nfs: commencing lattice sieving with 48 threads
01/30/22 13:35:15, nfs: commencing lattice sieving with 48 threads
01/30/22 13:37:56, nfs: commencing lattice sieving with 48 threads
01/30/22 13:40:40, nfs: commencing lattice sieving with 48 threads
01/30/22 13:43:17, nfs: commencing lattice sieving with 48 threads
01/30/22 13:46:00, nfs: commencing lattice sieving with 48 threads
01/30/22 13:48:39, nfs: commencing lattice sieving with 48 threads
01/30/22 13:51:19, nfs: commencing lattice sieving with 48 threads
01/30/22 13:54:01, nfs: commencing lattice sieving with 48 threads
01/30/22 13:56:43, nfs: commencing lattice sieving with 48 threads
01/30/22 13:59:22, nfs: commencing lattice sieving with 48 threads
01/30/22 14:01:57, nfs: commencing lattice sieving with 48 threads
01/30/22 14:04:36, nfs: commencing msieve filtering
01/30/22 14:06:35, nfs: raising min_rels by 5.00 percent to 10743908
01/30/22 14:06:35, nfs: commencing lattice sieving with 48 threads
01/30/22 14:09:14, nfs: commencing lattice sieving with 48 threads
01/30/22 14:11:53, nfs: commencing lattice sieving with 48 threads
01/30/22 14:14:34, nfs: commencing msieve filtering
01/30/22 14:16:42, nfs: raising min_rels by 5.00 percent to 11542842
01/30/22 14:16:42, nfs: commencing lattice sieving with 48 threads
01/30/22 14:19:18, nfs: commencing lattice sieving with 48 threads
01/30/22 14:21:59, nfs: commencing lattice sieving with 48 threads
01/30/22 14:24:41, nfs: commencing msieve filtering
01/30/22 14:26:56, nfs: raising min_rels by 5.00 percent to 12334625
01/30/22 14:26:56, nfs: commencing lattice sieving with 48 threads
01/30/22 14:29:36, nfs: commencing lattice sieving with 48 threads
01/30/22 14:32:13, nfs: commencing lattice sieving with 48 threads
01/30/22 14:34:56, nfs: commencing msieve filtering
01/30/22 14:38:34, nfs: commencing msieve linear algebra
01/30/22 14:58:10, nfs: commencing msieve sqrt
01/30/22 14:59:42, prp53 = 30966868970275691617104042850551261166628153099467391
01/30/22 14:59:42, prp102 = 110992578956990138564596278260847621102595407226478151144230230450198309801037113775837133422418860671
01/30/22 14:59:42, NFS elapsed time = 9725.4751 seconds.
01/30/22 14:59:42, 
01/30/22 14:59:42, 
01/30/22 14:59:42, Total factoring time = 9867.4045 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 5, 2022 23:07:30 UTC 2022 年 1 月 6 日 (木) 8 時 7 分 30 秒 (日本時間)

4×10185-3199

c156

name 名前Ray Chandler
date 日付January 31, 2022 04:11:31 UTC 2022 年 1 月 31 日 (月) 13 時 11 分 31 秒 (日本時間)
composite number 合成数
187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401<156>
prime factors 素因数
1130153131047557218100623856336678326301518174953111331756119550496452303571<76>
165897848298533514709262738120695651549211103479457330452860392378486399056222731<81>
factorization results 素因数分解の結果
01/30/22 15:33:01, 
01/30/22 15:33:01, ****************************
01/30/22 15:33:01, Starting factorization of 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888818
01/30/22 15:33:01, using pretesting plan: normal
01/30/22 15:33:01, using specified qs/gnfs crossover of 100 digits
01/30/22 15:33:01, using specified qs/snfs crossover of 75 digits
01/30/22 15:33:01, ****************************
01/30/22 15:33:01, div: found prime factor = 2
01/30/22 15:33:01, div: found prime factor = 3
01/30/22 15:33:01, div: found prime factor = 5471
01/30/22 15:33:01, rho: x^2 + 3, starting 1000 iterations on C181
01/30/22 15:33:01, prp8 = 25558121
01/30/22 15:33:01, rho: x^2 + 3, starting 1000 iterations on C174
01/30/22 15:33:02, rho: x^2 + 2, starting 1000 iterations on C174
01/30/22 15:33:02, rho: x^2 + 1, starting 1000 iterations on C174
01/30/22 15:33:02, nfs: input divides 10^188 - 79750
01/30/22 15:33:02, nfs: using supplied cofactor: 105949909601880561107663759663151517142882326040451528538241126354652392359601465638840013175887880161450698285984880185986994469858341913203518282067047280735786016850336133
01/30/22 15:33:02, nfs: input divides 10^188 - 79750
01/30/22 15:33:02, nfs: using supplied cofactor: 105949909601880561107663759663151517142882326040451528538241126354652392359601465638840013175887880161450698285984880185986994469858341913203518282067047280735786016850336133
01/30/22 15:33:02, nfs: commencing snfs on c174: 105949909601880561107663759663151517142882326040451528538241126354652392359601465638840013175887880161450698285984880185986994469858341913203518282067047280735786016850336133
01/30/22 15:33:02, pm1: starting B1 = 150K, B2 = gmp-ecm default on C174
01/30/22 15:33:02, prp18 = 565096405330586933
01/30/22 15:33:02, nfs: input divides 10^188 - 79750
01/30/22 15:33:02, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:02, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:02, current ECM pretesting depth: 0.00
01/30/22 15:33:02, scheduled 30 curves at B1=2000 toward target pretesting depth of 37.33
01/30/22 15:33:02, ecm: commencing 48 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=2k, B2=200k
01/30/22 15:33:02, ecm: finished 384 curves using AVX-ECM method on C156 input, B1=2k, B2=200k
01/30/22 15:33:03, nfs: input divides 10^188 - 79750
01/30/22 15:33:03, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:03, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:03, current ECM pretesting depth: 17.27
01/30/22 15:33:03, scheduled 74 curves at B1=11000 toward target pretesting depth of 37.33
01/30/22 15:33:03, ecm: commencing 96 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=11k, B2=1100k
01/30/22 15:33:03, ecm: finished 384 curves using AVX-ECM method on C156 input, B1=11k, B2=1100k
01/30/22 15:33:04, nfs: input divides 10^188 - 79750
01/30/22 15:33:04, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:04, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:04, current ECM pretesting depth: 21.28
01/30/22 15:33:04, scheduled 214 curves at B1=50000 toward target pretesting depth of 37.33
01/30/22 15:33:04, ecm: commencing 240 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=50k, B2=5M
01/30/22 15:33:05, ecm: finished 384 curves using AVX-ECM method on C156 input, B1=50k, B2=5M
01/30/22 15:33:05, nfs: input divides 10^188 - 79750
01/30/22 15:33:05, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:05, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:05, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C156
01/30/22 15:33:06, nfs: input divides 10^188 - 79750
01/30/22 15:33:06, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:06, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:06, current ECM pretesting depth: 25.62
01/30/22 15:33:06, scheduled 430 curves at B1=250000 toward target pretesting depth of 37.33
01/30/22 15:33:08, ecm: commencing 432 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=250k, B2=25M
01/30/22 15:33:14, ecm: finished 768 curves using AVX-ECM method on C156 input, B1=250k, B2=25M
01/30/22 15:33:15, nfs: input divides 10^188 - 79750
01/30/22 15:33:15, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:15, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:15, pm1: starting B1 = 15M, B2 = gmp-ecm default on C156
01/30/22 15:33:19, nfs: input divides 10^188 - 79750
01/30/22 15:33:19, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:19, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:33:19, current ECM pretesting depth: 30.81
01/30/22 15:33:19, scheduled 904 curves at B1=1000000 toward target pretesting depth of 37.33
01/30/22 15:33:21, ecm: commencing 912 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=1M, B2=100M
01/30/22 15:34:01, ecm: finished 1152 curves using AVX-ECM method on C156 input, B1=1M, B2=100M
01/30/22 15:34:02, nfs: input divides 10^188 - 79750
01/30/22 15:34:02, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:34:02, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:34:02, current ECM pretesting depth: 35.72
01/30/22 15:34:02, scheduled 758 curves at B1=3000000 toward target pretesting depth of 37.33
01/30/22 15:34:03, ecm: commencing 768 curves using AVX-ECM method on 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401, B1=3M, B2=300M
01/30/22 15:35:22, ecm: finished 768 curves using AVX-ECM method on C156 input, B1=3M, B2=300M
01/30/22 15:35:23, nfs: input divides 10^188 - 79750
01/30/22 15:35:23, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:35:23, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:35:23, final ECM pretested depth: 37.36
01/30/22 15:35:23, scheduler: switching to sieve method
01/30/22 15:35:23, nfs: commencing nfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:35:23, nfs: input divides 10^188 - 79750
01/30/22 15:35:23, nfs: using supplied cofactor: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:35:23, nfs: commencing snfs on c156: 187489972688640314511065406881827552449960926651307062954590135768527002226868751792847279442792149267104420356902875836656061133743021577245585147002672401
01/30/22 15:35:24, test: fb generation took 1.3853 seconds
01/30/22 15:35:24, test: commencing test sieving of polynomial 0 on the rational side over range 12000000-12001000
skew: 3.2410
c5: 4
c0: -319
Y1: -1
Y0: 10000000000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 15:36:32, nfs: parsing special-q from .dat file
01/30/22 15:36:32, test: new best estimated total sieving time = 1h 47m 15s (with 48 threads)
01/30/22 15:36:34, test: fb generation took 1.4124 seconds
01/30/22 15:36:34, test: commencing test sieving of polynomial 1 on the rational side over range 12500000-12501000
skew: 6.7221
c5: 1
c0: -2552
Y1: -1
Y0: 20000000000000000000000000000000000000
rlim: 12500000
alim: 12500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 15:37:39, nfs: parsing special-q from .dat file
01/30/22 15:37:39, test: estimated total sieving time = 1h 53m 44s (with 48 threads)
01/30/22 15:37:41, test: fb generation took 2.0452 seconds
01/30/22 15:37:41, test: commencing test sieving of polynomial 2 on the algebraic side over range 11500000-11501000
skew: 3.6238
c6: 2
c0: -1595
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 11500000
alim: 11500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/30/22 15:38:44, nfs: parsing special-q from .dat file
01/30/22 15:38:44, test: estimated total sieving time = 2h 30m 56s (with 48 threads)
01/30/22 15:38:44, nfs: commencing lattice sieving with 48 threads
01/30/22 15:41:22, nfs: commencing lattice sieving with 48 threads
01/30/22 15:43:59, nfs: commencing lattice sieving with 48 threads
01/30/22 15:46:32, nfs: commencing lattice sieving with 48 threads
01/30/22 15:49:11, nfs: commencing lattice sieving with 48 threads
01/30/22 15:51:39, nfs: commencing lattice sieving with 48 threads
01/30/22 15:54:14, nfs: commencing lattice sieving with 48 threads
01/30/22 15:56:51, nfs: commencing lattice sieving with 48 threads
01/30/22 15:59:28, nfs: commencing lattice sieving with 48 threads
01/30/22 16:02:01, nfs: commencing lattice sieving with 48 threads
01/30/22 16:04:37, nfs: commencing lattice sieving with 48 threads
01/30/22 16:07:16, nfs: commencing lattice sieving with 48 threads
01/30/22 16:09:58, nfs: commencing lattice sieving with 48 threads
01/30/22 16:12:33, nfs: commencing lattice sieving with 48 threads
01/30/22 16:15:13, nfs: commencing lattice sieving with 48 threads
01/30/22 16:17:48, nfs: commencing lattice sieving with 48 threads
01/30/22 16:20:20, nfs: commencing lattice sieving with 48 threads
01/30/22 16:23:04, nfs: commencing lattice sieving with 48 threads
01/30/22 16:25:37, nfs: commencing lattice sieving with 48 threads
01/30/22 16:28:14, nfs: commencing lattice sieving with 48 threads
01/30/22 16:30:57, nfs: commencing lattice sieving with 48 threads
01/30/22 16:33:34, nfs: commencing lattice sieving with 48 threads
01/30/22 16:36:16, nfs: commencing lattice sieving with 48 threads
01/30/22 16:39:00, nfs: commencing lattice sieving with 48 threads
01/30/22 16:41:34, nfs: commencing lattice sieving with 48 threads
01/30/22 16:44:12, nfs: commencing lattice sieving with 48 threads
01/30/22 16:46:55, nfs: commencing lattice sieving with 48 threads
01/30/22 16:49:39, nfs: commencing lattice sieving with 48 threads
01/30/22 16:52:17, nfs: commencing lattice sieving with 48 threads
01/30/22 16:54:58, nfs: commencing lattice sieving with 48 threads
01/30/22 16:57:42, nfs: commencing lattice sieving with 48 threads
01/30/22 17:00:19, nfs: commencing lattice sieving with 48 threads
01/30/22 17:03:02, nfs: commencing lattice sieving with 48 threads
01/30/22 17:05:40, nfs: commencing lattice sieving with 48 threads
01/30/22 17:08:20, nfs: commencing lattice sieving with 48 threads
01/30/22 17:11:00, nfs: commencing lattice sieving with 48 threads
01/30/22 17:13:42, nfs: commencing lattice sieving with 48 threads
01/30/22 17:16:20, nfs: commencing lattice sieving with 48 threads
01/30/22 17:18:56, nfs: commencing lattice sieving with 48 threads
01/30/22 17:21:33, nfs: commencing msieve filtering
01/30/22 17:23:31, nfs: raising min_rels by 5.00 percent to 10742328
01/30/22 17:23:31, nfs: commencing lattice sieving with 48 threads
01/30/22 17:26:10, nfs: commencing lattice sieving with 48 threads
01/30/22 17:28:48, nfs: commencing lattice sieving with 48 threads
01/30/22 17:31:27, nfs: commencing msieve filtering
01/30/22 17:33:35, nfs: raising min_rels by 5.00 percent to 11543985
01/30/22 17:33:35, nfs: commencing lattice sieving with 48 threads
01/30/22 17:36:10, nfs: commencing lattice sieving with 48 threads
01/30/22 17:38:50, nfs: commencing lattice sieving with 48 threads
01/30/22 17:41:30, nfs: commencing msieve filtering
01/30/22 17:43:46, nfs: raising min_rels by 5.00 percent to 12336216
01/30/22 17:43:46, nfs: commencing lattice sieving with 48 threads
01/30/22 17:46:24, nfs: commencing lattice sieving with 48 threads
01/30/22 17:49:02, nfs: commencing lattice sieving with 48 threads
01/30/22 17:51:45, nfs: commencing msieve filtering
01/30/22 17:55:23, nfs: commencing msieve linear algebra
01/30/22 18:12:24, nfs: commencing msieve sqrt
01/30/22 18:15:30, prp76 = 1130153131047557218100623856336678326301518174953111331756119550496452303571
01/30/22 18:15:30, prp81 = 165897848298533514709262738120695651549211103479457330452860392378486399056222731
01/30/22 18:15:30, NFS elapsed time = 9607.3926 seconds.
01/30/22 18:15:30, 
01/30/22 18:15:30, 
01/30/22 18:15:30, Total factoring time = 9748.6435 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 11:09:13 UTC 2022 年 1 月 6 日 (木) 20 時 9 分 13 秒 (日本時間)

4×10187-3199

c187

name 名前Bob Backstrom
date 日付January 6, 2022 10:45:23 UTC 2022 年 1 月 6 日 (木) 19 時 45 分 23 秒 (日本時間)
composite number 合成数
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409<187>
prime factors 素因数
225328929564925374729272168326775421870557<42>
5573962653448968853343229239820286165425141653203137835289<58>
3538640744834073334307266443595507732515621405685533244462195747355903485312419074770133<88>
factorization results 素因数分解の結果
Number: n
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409  ( 187 digits)
SNFS difficulty: 187 digits.
Divisors found:

Thu Jan  6 21:39:22 2022  found factor: 3538640744834073334307266443595507732515621405685533244462195747355903485312419074770133
Thu Jan  6 21:40:57 2022  p42 factor: 225328929564925374729272168326775421870557
Thu Jan  6 21:40:57 2022  p58 factor: 5573962653448968853343229239820286165425141653203137835289
Thu Jan  6 21:40:57 2022  p88 factor: 3538640744834073334307266443595507732515621405685533244462195747355903485312419074770133
Thu Jan  6 21:40:57 2022  elapsed time 00:37:41 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.310).
Factorization parameters were as follows:
#
# N = 4x10^187-319 = 8(185)18
#
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
m: 10000000000000000000000000000000000000
deg: 5
c5: 400
c0: -319
skew: 0.96
# Murphy_E = 3.435e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3578934 hash collisions in 28115762 relations (26068541 unique)
Msieve: matrix is 1244602 x 1244827 (433.2 MB)

Sieving start time : 2022/01/06 16:45:36
Sieving end time  : 2022/01/06 21:01:09

Total sieving time: 4hrs 15min 33secs.

Total relation processing time: 0hrs 26min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 11sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
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)

4×10188-3199

c155

name 名前Ray Chandler
date 日付February 1, 2022 00:38:21 UTC 2022 年 2 月 1 日 (火) 9 時 38 分 21 秒 (日本時間)
composite number 合成数
48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931<155>
prime factors 素因数
17434325880391157556572832440875064743979512057296904905123231469<65>
2778652285198241897285564189284636107584958635223301795351639501717592961971715088871702599<91>
factorization results 素因数分解の結果
01/31/22 14:37:12, 
01/31/22 14:37:12, ****************************
01/31/22 14:37:12, Starting factorization of 88888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888818
01/31/22 14:37:12, using pretesting plan: normal
01/31/22 14:37:12, using specified qs/gnfs crossover of 100 digits
01/31/22 14:37:12, using specified qs/snfs crossover of 75 digits
01/31/22 14:37:12, ****************************
01/31/22 14:37:12, div: found prime factor = 2
01/31/22 14:37:12, div: found prime factor = 3
01/31/22 14:37:12, div: found prime factor = 911
01/31/22 14:37:12, div: found prime factor = 2377
01/31/22 14:37:12, div: found prime factor = 9871
01/31/22 14:37:12, rho: x^2 + 3, starting 1000 iterations on C177
01/31/22 14:37:12, prp8 = 83328941
01/31/22 14:37:12, rho: x^2 + 3, starting 1000 iterations on C169
01/31/22 14:37:13, rho: x^2 + 2, starting 1000 iterations on C169
01/31/22 14:37:13, rho: x^2 + 1, starting 1000 iterations on C169
01/31/22 14:37:13, nfs: input divides 10^191 - 79750
01/31/22 14:37:13, nfs: using supplied cofactor: 8317477869479570262383728435489089430633108058879775261700869118202693690344398795336482573299819508117252432889702566296751451812169417580998194154099366818919915158759
01/31/22 14:37:13, nfs: input divides 10^191 - 79750
01/31/22 14:37:13, nfs: using supplied cofactor: 8317477869479570262383728435489089430633108058879775261700869118202693690344398795336482573299819508117252432889702566296751451812169417580998194154099366818919915158759
01/31/22 14:37:13, nfs: commencing snfs on c169: 8317477869479570262383728435489089430633108058879775261700869118202693690344398795336482573299819508117252432889702566296751451812169417580998194154099366818919915158759
01/31/22 14:37:13, pm1: starting B1 = 150K, B2 = gmp-ecm default on C169
01/31/22 14:37:13, prp15 = 171692882145989
01/31/22 14:37:13, nfs: input divides 10^191 - 79750
01/31/22 14:37:13, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:13, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:13, current ECM pretesting depth: 0.00
01/31/22 14:37:13, scheduled 30 curves at B1=2000 toward target pretesting depth of 37.09
01/31/22 14:37:13, ecm: commencing 48 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=2k, B2=200k
01/31/22 14:37:13, ecm: finished 384 curves using AVX-ECM method on C155 input, B1=2k, B2=200k
01/31/22 14:37:13, nfs: input divides 10^191 - 79750
01/31/22 14:37:13, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:13, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:13, current ECM pretesting depth: 17.27
01/31/22 14:37:13, scheduled 74 curves at B1=11000 toward target pretesting depth of 37.09
01/31/22 14:37:14, ecm: commencing 96 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=11k, B2=1100k
01/31/22 14:37:14, ecm: finished 384 curves using AVX-ECM method on C155 input, B1=11k, B2=1100k
01/31/22 14:37:14, nfs: input divides 10^191 - 79750
01/31/22 14:37:14, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:14, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:14, current ECM pretesting depth: 21.28
01/31/22 14:37:14, scheduled 214 curves at B1=50000 toward target pretesting depth of 37.09
01/31/22 14:37:14, ecm: commencing 240 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=50k, B2=5M
01/31/22 14:37:15, ecm: finished 384 curves using AVX-ECM method on C155 input, B1=50k, B2=5M
01/31/22 14:37:15, nfs: input divides 10^191 - 79750
01/31/22 14:37:15, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:15, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:15, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C155
01/31/22 14:37:17, nfs: input divides 10^191 - 79750
01/31/22 14:37:17, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:17, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:17, current ECM pretesting depth: 25.62
01/31/22 14:37:17, scheduled 430 curves at B1=250000 toward target pretesting depth of 37.09
01/31/22 14:37:18, ecm: commencing 432 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=250k, B2=25M
01/31/22 14:37:25, ecm: finished 768 curves using AVX-ECM method on C155 input, B1=250k, B2=25M
01/31/22 14:37:25, nfs: input divides 10^191 - 79750
01/31/22 14:37:25, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:25, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:25, pm1: starting B1 = 15M, B2 = gmp-ecm default on C155
01/31/22 14:37:29, nfs: input divides 10^191 - 79750
01/31/22 14:37:29, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:29, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:37:29, current ECM pretesting depth: 30.81
01/31/22 14:37:29, scheduled 904 curves at B1=1000000 toward target pretesting depth of 37.09
01/31/22 14:37:31, ecm: commencing 912 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=1M, B2=100M
01/31/22 14:38:11, ecm: finished 1152 curves using AVX-ECM method on C155 input, B1=1M, B2=100M
01/31/22 14:38:12, nfs: input divides 10^191 - 79750
01/31/22 14:38:12, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:38:12, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:38:12, current ECM pretesting depth: 35.72
01/31/22 14:38:12, scheduled 645 curves at B1=3000000 toward target pretesting depth of 37.09
01/31/22 14:38:14, ecm: commencing 672 curves using AVX-ECM method on 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931, B1=3M, B2=300M
01/31/22 14:39:33, ecm: finished 768 curves using AVX-ECM method on C155 input, B1=3M, B2=300M
01/31/22 14:39:34, nfs: input divides 10^191 - 79750
01/31/22 14:39:34, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:39:34, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:39:34, final ECM pretested depth: 37.36
01/31/22 14:39:34, scheduler: switching to sieve method
01/31/22 14:39:34, nfs: commencing nfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:39:34, nfs: input divides 10^191 - 79750
01/31/22 14:39:34, nfs: using supplied cofactor: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:39:34, nfs: commencing snfs on c155: 48443929448439740478789674942558559739500013058607216199491952336469388758327029538109086304817296430281135034645116759842993963835091147195473558805887931
01/31/22 14:39:35, test: fb generation took 1.4678 seconds
01/31/22 14:39:35, test: commencing test sieving of polynomial 0 on the rational side over range 13000000-13001000
skew: 8.0807
c5: 1
c0: -7975
Y1: -1
Y0: 100000000000000000000000000000000000000
rlim: 13000000
alim: 13000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 14:40:53, nfs: parsing special-q from .dat file
01/31/22 14:40:53, test: new best estimated total sieving time = 2h 17m 9s (with 48 threads)
01/31/22 14:40:55, test: fb generation took 1.5229 seconds
01/31/22 14:40:55, test: commencing test sieving of polynomial 1 on the rational side over range 13500000-13501000
skew: 17.0057
c5: 1
c0: -255200
Y1: -1
Y0: 200000000000000000000000000000000000000
rlim: 13500000
alim: 13500000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 14:42:11, nfs: parsing special-q from .dat file
01/31/22 14:42:11, test: estimated total sieving time = 2h 37m 20s (with 48 threads)
01/31/22 14:42:13, test: fb generation took 2.1925 seconds
01/31/22 14:42:13, test: commencing test sieving of polynomial 2 on the algebraic side over range 12000000-12001000
skew: 1.1267
c6: 400
c0: -319
Y1: -1
Y0: 10000000000000000000000000000000
rlim: 12000000
alim: 12000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
01/31/22 14:43:38, nfs: parsing special-q from .dat file
01/31/22 14:43:38, test: estimated total sieving time = 3h 7m 0s (with 48 threads)
01/31/22 14:43:38, nfs: commencing lattice sieving with 48 threads
01/31/22 14:46:18, nfs: commencing lattice sieving with 48 threads
01/31/22 14:48:56, nfs: commencing lattice sieving with 48 threads
01/31/22 14:51:30, nfs: commencing lattice sieving with 48 threads
01/31/22 14:54:11, nfs: commencing lattice sieving with 48 threads
01/31/22 14:56:52, nfs: commencing lattice sieving with 48 threads
01/31/22 14:59:37, nfs: commencing lattice sieving with 48 threads
01/31/22 15:02:10, nfs: commencing lattice sieving with 48 threads
01/31/22 15:04:49, nfs: commencing lattice sieving with 48 threads
01/31/22 15:07:25, nfs: commencing lattice sieving with 48 threads
01/31/22 15:09:58, nfs: commencing lattice sieving with 48 threads
01/31/22 15:12:36, nfs: commencing lattice sieving with 48 threads
01/31/22 15:15:16, nfs: commencing lattice sieving with 48 threads
01/31/22 15:17:54, nfs: commencing lattice sieving with 48 threads
01/31/22 15:20:36, nfs: commencing lattice sieving with 48 threads
01/31/22 15:23:13, nfs: commencing lattice sieving with 48 threads
01/31/22 15:25:59, nfs: commencing lattice sieving with 48 threads
01/31/22 15:28:44, nfs: commencing lattice sieving with 48 threads
01/31/22 15:31:22, nfs: commencing lattice sieving with 48 threads
01/31/22 15:33:58, nfs: commencing lattice sieving with 48 threads
01/31/22 15:36:46, nfs: commencing lattice sieving with 48 threads
01/31/22 15:39:32, nfs: commencing lattice sieving with 48 threads
01/31/22 15:42:14, nfs: commencing lattice sieving with 48 threads
01/31/22 15:45:00, nfs: commencing lattice sieving with 48 threads
01/31/22 15:47:46, nfs: commencing lattice sieving with 48 threads
01/31/22 15:50:26, nfs: commencing lattice sieving with 48 threads
01/31/22 15:53:07, nfs: commencing lattice sieving with 48 threads
01/31/22 15:55:49, nfs: commencing lattice sieving with 48 threads
01/31/22 15:58:29, nfs: commencing lattice sieving with 48 threads
01/31/22 16:01:08, nfs: commencing lattice sieving with 48 threads
01/31/22 16:04:02, nfs: commencing lattice sieving with 48 threads
01/31/22 16:06:41, nfs: commencing lattice sieving with 48 threads
01/31/22 16:09:18, nfs: commencing lattice sieving with 48 threads
01/31/22 16:12:03, nfs: commencing lattice sieving with 48 threads
01/31/22 16:14:46, nfs: commencing lattice sieving with 48 threads
01/31/22 16:17:25, nfs: commencing lattice sieving with 48 threads
01/31/22 16:20:11, nfs: commencing lattice sieving with 48 threads
01/31/22 16:22:48, nfs: commencing lattice sieving with 48 threads
01/31/22 16:25:34, nfs: commencing lattice sieving with 48 threads
01/31/22 16:28:17, nfs: commencing lattice sieving with 48 threads
01/31/22 16:30:54, nfs: commencing lattice sieving with 48 threads
01/31/22 16:33:33, nfs: commencing lattice sieving with 48 threads
01/31/22 16:36:17, nfs: commencing lattice sieving with 48 threads
01/31/22 16:38:58, nfs: commencing lattice sieving with 48 threads
01/31/22 16:41:37, nfs: commencing lattice sieving with 48 threads
01/31/22 16:44:17, nfs: commencing lattice sieving with 48 threads
01/31/22 16:47:09, nfs: commencing lattice sieving with 48 threads
01/31/22 16:49:51, nfs: commencing lattice sieving with 48 threads
01/31/22 16:52:39, nfs: commencing lattice sieving with 48 threads
01/31/22 16:55:20, nfs: commencing lattice sieving with 48 threads
01/31/22 16:58:09, nfs: commencing lattice sieving with 48 threads
01/31/22 17:00:55, nfs: commencing msieve filtering
01/31/22 17:02:58, nfs: raising min_rels by 5.00 percent to 10743924
01/31/22 17:02:58, nfs: commencing lattice sieving with 48 threads
01/31/22 17:05:40, nfs: commencing lattice sieving with 48 threads
01/31/22 17:08:27, nfs: commencing lattice sieving with 48 threads
01/31/22 17:11:11, nfs: commencing msieve filtering
01/31/22 17:13:20, nfs: raising min_rels by 5.00 percent to 11351017
01/31/22 17:13:20, nfs: commencing lattice sieving with 48 threads
01/31/22 17:16:02, nfs: commencing lattice sieving with 48 threads
01/31/22 17:18:42, nfs: commencing lattice sieving with 48 threads
01/31/22 17:21:26, nfs: commencing msieve filtering
01/31/22 17:23:40, nfs: raising min_rels by 5.00 percent to 11956903
01/31/22 17:23:40, nfs: commencing lattice sieving with 48 threads
01/31/22 17:26:24, nfs: commencing lattice sieving with 48 threads
01/31/22 17:29:06, nfs: commencing lattice sieving with 48 threads
01/31/22 17:31:51, nfs: commencing msieve filtering
01/31/22 17:34:10, nfs: raising min_rels by 5.00 percent to 12558352
01/31/22 17:34:10, nfs: commencing lattice sieving with 48 threads
01/31/22 17:36:53, nfs: commencing lattice sieving with 48 threads
01/31/22 17:39:41, nfs: commencing lattice sieving with 48 threads
01/31/22 17:42:25, nfs: commencing lattice sieving with 48 threads
01/31/22 17:45:14, nfs: commencing msieve filtering
01/31/22 17:47:42, nfs: raising min_rels by 5.00 percent to 13362463
01/31/22 17:47:42, nfs: commencing lattice sieving with 48 threads
01/31/22 17:50:31, nfs: commencing lattice sieving with 48 threads
01/31/22 17:53:16, nfs: commencing lattice sieving with 48 threads
01/31/22 17:56:00, nfs: commencing lattice sieving with 48 threads
01/31/22 17:58:50, nfs: commencing msieve filtering
01/31/22 18:02:44, nfs: commencing msieve linear algebra
01/31/22 18:21:33, nfs: commencing msieve sqrt
01/31/22 18:25:14, prp91 = 2778652285198241897285564189284636107584958635223301795351639501717592961971715088871702599
01/31/22 18:25:14, prp65 = 17434325880391157556572832440875064743979512057296904905123231469
01/31/22 18:25:15, NFS elapsed time = 13540.8867 seconds.
01/31/22 18:25:15, 
01/31/22 18:25:15, 
01/31/22 18:25:15, Total factoring time = 13682.1189 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 16:17:45 UTC 2022 年 1 月 7 日 (金) 1 時 17 分 45 秒 (日本時間)

4×10191-3199

c147

name 名前Eric Jeancolas
date 日付February 3, 2022 07:20:05 UTC 2022 年 2 月 3 日 (木) 16 時 20 分 5 秒 (日本時間)
composite number 合成数
449237122359373057291757116658809702508876050560037500890705993732765714908837356132347122196084173430075472961214745997971110947002845847683051971<147>
prime factors 素因数
14400185395667743688534790259317938406939053259652693<53>
31196620738961097985898694667905972140750505818860638664750317133796639462179810659498422097847<95>
factorization results 素因数分解の結果
449237122359373057291757116658809702508876050560037500890705993732765714908837356132347122196084173430075472961214745997971110947002845847683051971=14400185395667743688534790259317938406939053259652693*31196620738961097985898694667905972140750505818860638664750317133796639462179810659498422097847

cado polynomial
n: 449237122359373057291757116658809702508876050560037500890705993732765714908837356132347122196084173430075472961214745997971110947002845847683051971
skew: 1.51
type: snfs
c0: -319
c5: 40
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^5-319
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10900000
tasks.lim1 = 10900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14400185395667743688534790259317938406939053259652693 31196620738961097985898694667905972140750505818860638664750317133796639462179810659498422097847
Info:Square Root: Total cpu/real time for sqrt: 505.84/162.515
Info:Filtering - Singleton removal: Total cpu/real time for purge: 332.3/395.43
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25484925
Info:Lattice Sieving: Average J: 1894.39 for 2143926 special-q, max bucket fill -bkmult 1.0,1s:1.131050
Info:Lattice Sieving: Total time: 429940s
Info:Linear Algebra: Total cpu/real time for bwc: 68691.3/17642.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 43883.42, WCT time 11199.21, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (63232 iterations)
Info:Linear Algebra: Lingen CPU time 402.7, WCT time 102.46
Info:Linear Algebra: Mksol: CPU time 24018.57,  WCT time 6175.75, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (31744 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.54/32.4658
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.62/125.285
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.6s
Info:Filtering - Merging: Merged matrix has 2015957 rows and total weight 345222129 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 556.07/153.715
Info:Filtering - Merging: Total cpu/real time for replay: 78.28/66.9662
Info:Generate Factor Base: Total cpu/real time for makefb: 4.62/2.38787
Info:Quadratic Characters: Total cpu/real time for characters: 70.22/30.0054
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 447.28/452.047
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 361.2s
Info:Square Root: Total cpu/real time for sqrt: 505.84/162.515
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 874293/233978
Info:root: Cleaning up computation data in /tmp/cado.7m_c5kac
14400185395667743688534790259317938406939053259652693 31196620738961097985898694667905972140750505818860638664750317133796639462179810659498422097847
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 12:05:10 UTC 2022 年 1 月 8 日 (土) 21 時 5 分 10 秒 (日本時間)

4×10195-3199

c146

name 名前Eric Jeancolas
date 日付February 5, 2022 18:41:40 UTC 2022 年 2 月 6 日 (日) 3 時 41 分 40 秒 (日本時間)
composite number 合成数
32958804646979097728428029990457480383764329071902083905595955991233081320148226437449112525216942076313247797300763358690885042029911515409477981<146>
prime factors 素因数
62771717526235793096161986794541522708673936281886277<53>
525058194133429272246675839211001407455622987575874792770590253030838567110682953582549328953<93>
factorization results 素因数分解の結果
32958804646979097728428029990457480383764329071902083905595955991233081320148226437449112525216942076313247797300763358690885042029911515409477981=62771717526235793096161986794541522708673936281886277*525058194133429272246675839211001407455622987575874792770590253030838567110682953582549328953

cado polynomial
n: 32958804646979097728428029990457480383764329071902083905595955991233081320148226437449112525216942076313247797300763358690885042029911515409477981
skew: 2.40
type: snfs
c0: -319
c5: 4
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-319
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 525058194133429272246675839211001407455622987575874792770590253030838567110682953582549328953 62771717526235793096161986794541522708673936281886277
Info:Square Root: Total cpu/real time for sqrt: 696.17/224.411
Info:Filtering - Singleton removal: Total cpu/real time for purge: 408.28/484.744
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29692115
Info:Lattice Sieving: Average J: 1893.36 for 3725946 special-q, max bucket fill -bkmult 1.0,1s:1.164820
Info:Lattice Sieving: Total time: 805813s
Info:Linear Algebra: Total cpu/real time for bwc: 131775/33680.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 84559.33, WCT time 21537.81, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (85504 iterations)
Info:Linear Algebra: Lingen CPU time 579.97, WCT time 147.08
Info:Linear Algebra: Mksol: CPU time 45634.64,  WCT time 11637.06, iteration CPU time 0.26, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (43008 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 118.24/32.4659
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 125.88/150.423
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 149.7s
Info:Filtering - Merging: Merged matrix has 2727527 rows and total weight 466394066 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 766.54/210.644
Info:Filtering - Merging: Total cpu/real time for replay: 107.3/94.0829
Info:Generate Factor Base: Total cpu/real time for makefb: 5.36/2.49705
Info:Quadratic Characters: Total cpu/real time for characters: 95.14/41.6537
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 531.93/547.527
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 439.79999999999995s
Info:Square Root: Total cpu/real time for sqrt: 696.17/224.411
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.64461e+06/438633
Info:root: Cleaning up computation data in /tmp/cado.cbr4l0yx
525058194133429272246675839211001407455622987575874792770590253030838567110682953582549328953 62771717526235793096161986794541522708673936281886277
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 10, 2022 21:44:59 UTC 2022 年 1 月 11 日 (火) 6 時 44 分 59 秒 (日本時間)
4511e64480Ignacio SantosJanuary 31, 2022 20:27:36 UTC 2022 年 2 月 1 日 (火) 5 時 27 分 36 秒 (日本時間)

4×10196-3199

c185

name 名前Bob Backstrom
date 日付January 18, 2022 13:23:53 UTC 2022 年 1 月 18 日 (火) 22 時 23 分 53 秒 (日本時間)
composite number 合成数
43471636900297590541418217176616900370466328310420706954148057613883117276406151228154421389990648967978465131912747300300197765013370856692947279638596718473157775919047022700490253323<185>
prime factors 素因数
359114359838542411077296450586829861332779047<45>
121052349228926437197748850406126788597396251612441302564847569316335805905482448869477182875192030595512925415756244455412823298412490147709<141>
factorization results 素因数分解の結果
Number: n
N=43471636900297590541418217176616900370466328310420706954148057613883117276406151228154421389990648967978465131912747300300197765013370856692947279638596718473157775919047022700490253323  ( 185 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Jan 19 00:19:18 2022  p45 factor: 359114359838542411077296450586829861332779047
Wed Jan 19 00:19:18 2022  p141 factor: 121052349228926437197748850406126788597396251612441302564847569316335805905482448869477182875192030595512925415756244455412823298412490147709
Wed Jan 19 00:19:18 2022  elapsed time 01:01:02 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.286).
Factorization parameters were as follows:
#
# N = 4x10^196-319 = 8(194)18
#
n: 43471636900297590541418217176616900370466328310420706954148057613883117276406151228154421389990648967978465131912747300300197765013370856692947279638596718473157775919047022700490253323
m: 1000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -319
skew: 1.51
# Murphy_E = 2.067e-11
type: snfs
lss: 1
rlim: 13200000
alim: 13200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13200000/13200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3845833 hash collisions in 29974448 relations (27777877 unique)
Msieve: matrix is 1564901 x 1565127 (550.6 MB)

Sieving start time : 2022/01/18 16:24:29
Sieving end time  : 2022/01/18 23:17:21

Total sieving time: 6hrs 52min 52secs.

Total relation processing time: 0hrs 49min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13200000,13200000,28,28,55,55,2.5,2.5,100000
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 12, 2022 20:15:13 UTC 2022 年 1 月 13 日 (木) 5 時 15 分 13 秒 (日本時間)

4×10198-3199

c177

name 名前Bob Backstrom
date 日付January 20, 2022 03:30:19 UTC 2022 年 1 月 20 日 (木) 12 時 30 分 19 秒 (日本時間)
composite number 合成数
165029998596952767898105259172544257531076566738812025522092175783011133089734314436537185774709426627232183294423889180900226094517650355243385471286141814875194580804280022493<177>
prime factors 素因数
415028857095722651809833867303683279557<39>
397634997604251146023394230440837304025750848464307469732340164392814367577663637168093672153924995263925929658726236335663988734581870649<138>
factorization results 素因数分解の結果
Number: n
N=165029998596952767898105259172544257531076566738812025522092175783011133089734314436537185774709426627232183294423889180900226094517650355243385471286141814875194580804280022493  ( 177 digits)
SNFS difficulty: 198 digits.
Divisors found:

Thu Jan 20 14:14:01 2022  p39 factor: 415028857095722651809833867303683279557
Thu Jan 20 14:14:01 2022  p138 factor: 397634997604251146023394230440837304025750848464307469732340164392814367577663637168093672153924995263925929658726236335663988734581870649
Thu Jan 20 14:14:01 2022  elapsed time 01:07:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 4x10^198-319 = 8(196)18
#
n: 165029998596952767898105259172544257531076566738812025522092175783011133089734314436537185774709426627232183294423889180900226094517650355243385471286141814875194580804280022493
m: 1000000000000000000000000000000000
deg: 6
c6: 4
c0: -319
skew: 2.07
# Murphy_E = 1.652e-11
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 27150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4654792 hash collisions in 32514655 relations (30034281 unique)
Msieve: matrix is 1595524 x 1595749 (556.8 MB)

Sieving start time : 2022/01/20 05:10:01
Sieving end time  : 2022/01/20 12:33:13

Total sieving time: 7hrs 23min 12secs.

Total relation processing time: 0hrs 54min 14sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 14sec.

Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,14300000,14300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    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 19:03:42 UTC 2022 年 1 月 14 日 (金) 4 時 3 分 42 秒 (日本時間)

4×10202-3199

c202

name 名前Ignacio Santos
date 日付January 20, 2022 23:16:18 UTC 2022 年 1 月 21 日 (金) 8 時 16 分 18 秒 (日本時間)
composite number 合成数
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409<202>
prime factors 素因数
6766747411870583219102339795799494524650596801<46>
656806612383338986954253030950403118471587877754513413166550821709976439896007962024705889743603913073107165041149152334082108285600214820336777742871313209<156>
factorization results 素因数分解の結果
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
  ( 202 digits)
SNFS difficulty: 202 digits.
Divisors found:
 r1=6766747411870583219102339795799494524650596801 (pp46)
 r2=656806612383338986954253030950403118471587877754513413166550821709976439896007962024705889743603913073107165041149152334082108285600214820336777742871313209 (pp156)
Version: Msieve v. 1.52 (SVN 927)
Total time: 630.66 hours.
Scaled time: 4985.37 units (timescale=7.905).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
m: 10000000000000000000000000000000000000000
deg: 5
c5: 400
c0: -319
skew: 0.96
# Murphy_E = 8.213e-12
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8350000, 22050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3833528 x 3833755
Total sieving time: 627.04 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.30 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,202.000,5,0,0,0,0,0,0,0,0,16700000,16700000,29,29,56,56,2.6,2.6,100000
total time: 630.66 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)
403e633501000Dmitry DomanovJanuary 17, 2022 09:04:03 UTC 2022 年 1 月 17 日 (月) 18 時 4 分 3 秒 (日本時間)
2350Ignacio SantosJanuary 19, 2022 17:06:55 UTC 2022 年 1 月 20 日 (木) 2 時 6 分 55 秒 (日本時間)

4×10203-3199

c175

name 名前Bob Backstrom
date 日付January 30, 2022 06:33:34 UTC 2022 年 1 月 30 日 (日) 15 時 33 分 34 秒 (日本時間)
composite number 合成数
3869379395765852455036423713364793790478382360153970817201521454864617658173376757147709524365062384471828804107772462978695231593134031372762347059805830882269069585674689609<175>
prime factors 素因数
1917492451009979947032911326360311258571438726063896756039658271933559254179172290195463<88>
2017937225112816649317832304516110682253706156717092704674636882911503139217065309936943<88>
factorization results 素因数分解の結果
Number: n
N=3869379395765852455036423713364793790478382360153970817201521454864617658173376757147709524365062384471828804107772462978695231593134031372762347059805830882269069585674689609  ( 175 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Jan 30 17:27:56 2022  p88 factor: 1917492451009979947032911326360311258571438726063896756039658271933559254179172290195463
Sun Jan 30 17:27:56 2022  p88 factor: 2017937225112816649317832304516110682253706156717092704674636882911503139217065309936943
Sun Jan 30 17:27:56 2022  elapsed time 01:57:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.293).
Factorization parameters were as follows:
#
# N = 4x10^203-319 = 8(201)18
#
n: 3869379395765852455036423713364793790478382360153970817201521454864617658173376757147709524365062384471828804107772462978695231593134031372762347059805830882269069585674689609
m: 20000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -319
skew: 1.21
# Murphy_E = 8.975e-12
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 35850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5018345 hash collisions in 33387676 relations (29327157 unique)
Msieve: matrix is 2201209 x 2201434 (766.0 MB)

Sieving start time : 2022/01/30 01:23:01
Sieving end time  : 2022/01/30 15:29:47

Total sieving time: 14hrs 6min 46secs.

Total relation processing time: 1hrs 45min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 43sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,28,28,55,55,2.6,2.6,100000
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)
403e633501000Dmitry DomanovJanuary 17, 2022 09:03:55 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 55 秒 (日本時間)
2350Ignacio SantosJanuary 27, 2022 16:00:23 UTC 2022 年 1 月 28 日 (金) 1 時 0 分 23 秒 (日本時間)
4511e64480Ignacio SantosJanuary 27, 2022 21:21:14 UTC 2022 年 1 月 28 日 (金) 6 時 21 分 14 秒 (日本時間)

4×10205-3199

c205

name 名前Ignacio Santos
date 日付April 20, 2022 16:56:25 UTC 2022 年 4 月 21 日 (木) 1 時 56 分 25 秒 (日本時間)
composite number 合成数
4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409<205>
prime factors 素因数
3013961381806118279066134137036194355064921423741<49>
11841387281383441531398308479936742184405107817601903404289877938025617<71>
124530924789900220235373466130725986823270055792740427468657869520641040294282108011997<87>
factorization results 素因数分解の結果
N=4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
  ( 205 digits)
SNFS difficulty: 205 digits.
Divisors found:
 r1=3013961381806118279066134137036194355064921423741 (pp49)
 r2=11841387281383441531398308479936742184405107817601903404289877938025617 (pp71)
 r3=124530924789900220235373466130725986823270055792740427468657869520641040294282108011997 (pp87)
Version: Msieve v. 1.52 (SVN 927)
Total time: 634.77 hours.
Scaled time: 5002.00 units (timescale=7.880).
Factorization parameters were as follows:
n: 4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444409
m: 100000000000000000000000000000000000000000
deg: 5
c5: 4
c0: -319
skew: 2.40
# Murphy_E = 8.213e-12
type: snfs
lss: 1
rlim: 18700000
alim: 18700000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [9350000, 22950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3947301 x 3947530
Total sieving time: 630.70 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.53 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,205.000,5,0,0,0,0,0,0,0,0,18700000,18700000,29,29,56,56,2.6,2.6,100000
total time: 634.77 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)
403e621001000Dmitry DomanovJanuary 17, 2022 09:03:46 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 46 秒 (日本時間)
1100ebinaFebruary 6, 2022 23:10:13 UTC 2022 年 2 月 7 日 (月) 8 時 10 分 13 秒 (日本時間)
4511e64480Ignacio SantosApril 18, 2022 16:37:18 UTC 2022 年 4 月 19 日 (火) 1 時 37 分 18 秒 (日本時間)

4×10207-3199

c157

name 名前Bob Backstrom
date 日付September 20, 2022 03:04:14 UTC 2022 年 9 月 20 日 (火) 12 時 4 分 14 秒 (日本時間)
composite number 合成数
8599814561685302050705897537297665199485630297167126656349316124320973995366625771069044994816885198770816061926310587024893575361124907665738948242271464291<157>
prime factors 素因数
1032397038189563409993019242927020310803380492783887975062070313<64>
8329948889398352317012345373786931431539348048381092977390700310362298799416727113347634881707<94>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.1, --enable-asm-redc] [ECM]                                                                                                                                                                  
Input number is 8599814561685302050705897537297665199485630297167126656349316124320973995366625771069044994816885198770816061926310587024893575361124907665738948242271464291 (157 digits)                                          
Using B1=138780000, B2=1164406154740, polynomial Dickson(30), sigma=1:3077230952                                                                                                                                                    
Step 1 took 244916ms                                                                                                                                                                                                                
Step 2 took 71514ms                                                                                                                                                                                                                 
********** Factor found in step 2: 1032397038189563409993019242927020310803380492783887975062070313                                                                                                                                 
Found prime factor of 64 digits: 1032397038189563409993019242927020310803380492783887975062070313                                                                                                                                   
Prime cofactor 8329948889398352317012345373786931431539348048381092977390700310362298799416727113347634881707 has 94 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)
403e621001000Dmitry DomanovJanuary 17, 2022 09:03:36 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 36 秒 (日本時間)
1100ebinaFebruary 7, 2022 01:36:36 UTC 2022 年 2 月 7 日 (月) 10 時 36 分 36 秒 (日本時間)

4×10208-3199

c175

composite cofactor 合成数の残り
1474662671760348599964683607457564212985545909060609912002812597320404247930055217939359129916129755138212747075471234270195985268083918625441191989177769936701144974986983101<175>

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 DomanovJanuary 17, 2022 09:03:26 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 26 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 06:16:37 UTC 2022 年 2 月 18 日 (金) 15 時 16 分 37 秒 (日本時間)

4×10210-3199

c192

name 名前Dmitry Domanov
date 日付February 18, 2022 22:24:49 UTC 2022 年 2 月 19 日 (土) 7 時 24 分 49 秒 (日本時間)
composite number 合成数
316811617162725401373321521806279563777649467355824920012526979536424108248615764459584410782050104581214263634876914797602692342601161723196856165425317111775644106645320989970056653074084773<192>
prime factors 素因数
31294498943920430882560700413326303667122071<44>
10123556147374337836636343423144276692873264955336188375818072033513384801207423892096085935546760214969189715156871859070309184565876162045107363363<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2267881461
Step 1 took 40965ms
Step 2 took 12965ms
********** Factor found in step 2: 31294498943920430882560700413326303667122071
Found probable prime factor of 44 digits: 31294498943920430882560700413326303667122071
Probable prime cofactor 10123556147374337836636343423144276692873264955336188375818072033513384801207423892096085935546760214969189715156871859070309184565876162045107363363 has 149 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)
403e61000Dmitry DomanovJanuary 17, 2022 09:03:16 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 06:16:38 UTC 2022 年 2 月 18 日 (金) 15 時 16 分 38 秒 (日本時間)

4×10211-3199

c204

composite cofactor 合成数の残り
787253933696332185891043622586764092489977322559999426879136269070168671320242756835740667296509176320417231988796116917207278863273023580794208141319638736255112156426884273100987537238833181816473119303<204>

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)
403e620781000Dmitry DomanovJanuary 17, 2022 09:03:06 UTC 2022 年 1 月 17 日 (月) 18 時 3 分 6 秒 (日本時間)
1078ebinaJuly 13, 2022 11:49:32 UTC 2022 年 7 月 13 日 (水) 20 時 49 分 32 秒 (日本時間)

4×10214-3199

c188

composite cofactor 合成数の残り
50934178939977493534965545264421397948273099851833021070835768463391664098821379663148329262159587167427015863270792412065137261618480022789943472683461104338190763590195522633683385345657<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)
403e61000Dmitry DomanovJanuary 17, 2022 09:02:48 UTC 2022 年 1 月 17 日 (月) 18 時 2 分 48 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 06:16:47 UTC 2022 年 2 月 18 日 (金) 15 時 16 分 47 秒 (日本時間)

4×10215-3199

c180

name 名前Dmitry Domanov
date 日付January 17, 2022 16:25:16 UTC 2022 年 1 月 18 日 (火) 1 時 25 分 16 秒 (日本時間)
composite number 合成数
397741392783016087779301504337038960222501766547297523701706665952720777528589497364193007615240021348658541861213651441278913361206709696446376447518524795847570032542565102565779<180>
prime factors 素因数
936358065894060289240472424368898203051<39>
424774888229580986571278138081313805606994948748775173519053273097208131870257684784208284458944986875860135178030299279935767203791474662329<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2301783803
Step 1 took 8129ms
Step 2 took 3037ms
********** Factor found in step 2: 936358065894060289240472424368898203051
Found probable prime factor of 39 digits: 936358065894060289240472424368898203051
Probable prime cofactor 424774888229580986571278138081313805606994948748775173519053273097208131870257684784208284458944986875860135178030299279935767203791474662329 has 141 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 17, 2022 09:02:55 UTC 2022 年 1 月 17 日 (月) 18 時 2 分 55 秒 (日本時間)

4×10219-3199

c166

name 名前Dmitry Domanov
date 日付January 17, 2022 08:54:07 UTC 2022 年 1 月 17 日 (月) 17 時 54 分 7 秒 (日本時間)
composite number 合成数
9212839771558431876261841399421680412540459755361632763079782858903298723672853170865925470769590905165810042130434591261200634679531226894861011328287911712670214689<166>
prime factors 素因数
15693373791388244761170491106344789<35>
composite cofactor 合成数の残り
587052847528170603534107210588100792062354696552694356282016054699897136373863535214523484967508316048540527147792531998712045619101<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2944535358
Step 1 took 7802ms
Step 2 took 4003ms
********** Factor found in step 2: 15693373791388244761170491106344789
Found prime factor of 35 digits: 15693373791388244761170491106344789
Composite cofactor 587052847528170603534107210588100792062354696552694356282016054699897136373863535214523484967508316048540527147792531998712045619101 has 132 digits

c132

name 名前Eric Jeancolas
date 日付January 19, 2022 03:22:42 UTC 2022 年 1 月 19 日 (水) 12 時 22 分 42 秒 (日本時間)
composite number 合成数
587052847528170603534107210588100792062354696552694356282016054699897136373863535214523484967508316048540527147792531998712045619101<132>
prime factors 素因数
4510915830960495123731658721579807344435130217<46>
130140501292211272903078010275766494595000108625222833936590801356058842736268067832853<87>
factorization results 素因数分解の結果
58705284752817060353410721058810079206235469655269435628201605469989713637386353521452348496750831604854052714779253199871204561910=4510915830960495123731658721579807344435130217*130140501292211272903078010275766494595000108625222833936590801356058842736268067832853

cado polynomial
n: 587052847528170603534107210588100792062354696552694356282016054699897136373863535214523484967508316048540527147792531998712045619101
skew: 42435.738
c0: 5460063525868177254571817400
c1: 7136483648460721759275510
c2: 16784109092745278171
c3: -5005432176796981
c4: -27242272236
c5: 656640
Y0: -22176890509769577733422283
Y1: 2642517477249221
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.967e-07
# f(x) = 656640*x^5-27242272236*x^4-5005432176796981*x^3+16784109092745278171*x^2+7136483648460721759275510*x+5460063525868177254571817400
# g(x) = 2642517477249221*x-22176890509769577733422283

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

cado log (extracts)
Info:Square Root: Factors: 130140501292211272903078010275766494595000108625222833936590801356058842736268067832853 4510915830960495123731658721579807344435130217
Info:Square Root: Total cpu/real time for sqrt: 791.71/240.876
Info:Filtering - Singleton removal: Total cpu/real time for purge: 297.87/332.694
Info:Linear Algebra: Total cpu/real time for bwc: 57054.7/14642.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 36526.22, WCT time 9333.8, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (58112 iterations)
Info:Linear Algebra: Lingen CPU time 372.49, WCT time 94.61
Info:Linear Algebra: Mksol: CPU time 19809.18,  WCT time 5077.3, iteration CPU time 0.17, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29184 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24949666
Info:Lattice Sieving: Average J: 7677.19 for 84926 special-q, max bucket fill -bkmult 1.0,1s:1.077880
Info:Lattice Sieving: Total time: 114430s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.62/10.7626
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 5832.01
Info:Polynomial Selection (root optimized): Rootsieve time: 5829.52
Info:Generate Free Relations: Total cpu/real time for freerel: 252.7/63.9282
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 106.98/124.526
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 124.0s
Info:Filtering - Merging: Merged matrix has 1858928 rows and total weight 317453920 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 475.73/134.061
Info:Filtering - Merging: Total cpu/real time for replay: 74.8/63.3599
Info:Quadratic Characters: Total cpu/real time for characters: 72.03/30.8444
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): 38814/39.440/47.092/51.480/0.832
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30635/38.310/42.351/47.920/1.074
Info:Polynomial Selection (size optimized): Total time: 4851.29
Info:Square Root: Total cpu/real time for sqrt: 791.71/240.876
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.12/412.104
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 348.79999999999995s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 285258/76309.5
Info:root: Cleaning up computation data in /tmp/cado.ze2b2sef
130140501292211272903078010275766494595000108625222833936590801356058842736268067832853 4510915830960495123731658721579807344435130217
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)
403e633501000Dmitry DomanovJanuary 17, 2022 08:41:29 UTC 2022 年 1 月 17 日 (月) 17 時 41 分 29 秒 (日本時間)
2350Ignacio SantosJanuary 17, 2022 17:00:52 UTC 2022 年 1 月 18 日 (火) 2 時 0 分 52 秒 (日本時間)

4×10221-3199

c221

composite cofactor 合成数の残り
14814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814814803<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)
403e620781000Dmitry DomanovJanuary 17, 2022 00:27:41 UTC 2022 年 1 月 17 日 (月) 9 時 27 分 41 秒 (日本時間)
1078ebinaJuly 13, 2022 20:12:11 UTC 2022 年 7 月 14 日 (木) 5 時 12 分 11 秒 (日本時間)

4×10222-3199

c213

composite cofactor 合成数の残り
307564817745785783525128958269981756915092423770200055927078976944406329666633309032337207541496435873957339687761487258888716136650969480294462953268430201210619212064036702346975906986816197102657558458454878307<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 17, 2022 00:27:32 UTC 2022 年 1 月 17 日 (月) 9 時 27 分 32 秒 (日本時間)

4×10224-3199

c209

name 名前Dmitry Domanov
date 日付January 16, 2022 15:11:47 UTC 2022 年 1 月 17 日 (月) 0 時 11 分 47 秒 (日本時間)
composite number 合成数
67440822582266892141976825431500315179121100848673522894588478324470966358758856264085241257047060737329158832863891007445481272631175215703217891656991024643531292748346144392598988344116540305246963957140343<209>
prime factors 素因数
6276973208588443175411401117270733<34>
composite cofactor 合成数の残り
10744162885702819271357408625997546628152848981196334082421008270420237145669224171074635409344615847757338117504765661579208569453161977642081905224961499358571331838161465171<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4065815742
Step 1 took 10692ms
Step 2 took 4949ms
********** Factor found in step 2: 6276973208588443175411401117270733
Found prime factor of 34 digits: 6276973208588443175411401117270733
Composite cofactor 10744162885702819271357408625997546628152848981196334082421008270420237145669224171074635409344615847757338117504765661579208569453161977642081905224961499358571331838161465171 has 176 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)
403e61000Dmitry DomanovJanuary 16, 2022 09:02:57 UTC 2022 年 1 月 16 日 (日) 18 時 2 分 57 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:38:17 UTC 2022 年 2 月 18 日 (金) 18 時 38 分 17 秒 (日本時間)

4×10225-3199

c181

composite cofactor 合成数の残り
1151908030680945894337836274924481746171904636706379721369673615020608588719652860922238828846903521388417106644232167295052576867488922816091043589219510342804641601374256070592511<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)
403e61000Dmitry DomanovJanuary 16, 2022 09:02:48 UTC 2022 年 1 月 16 日 (日) 18 時 2 分 48 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:38:19 UTC 2022 年 2 月 18 日 (金) 18 時 38 分 19 秒 (日本時間)

4×10226-3199

c197

composite cofactor 合成数の残り
54345996366062873757676581293743845809947418943996009273512325939276274052320175356835861318164009042458648460520784292341062145220227404177569917166327560309284837368901618794455461914234512006013<197>

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 DomanovJanuary 16, 2022 09:02:40 UTC 2022 年 1 月 16 日 (日) 18 時 2 分 40 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:38:59 UTC 2022 年 2 月 18 日 (金) 18 時 38 分 59 秒 (日本時間)

4×10228-3199

c224

composite cofactor 合成数の残り
16854808466170292557337951550853063993494043932058267072867550701370717298511299042225508909873125429270903122774638569700953560788973584301431394608989512095431925535456196459647481680930048331163276743313908166576072071161<224>

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 16, 2022 09:02:31 UTC 2022 年 1 月 16 日 (日) 18 時 2 分 31 秒 (日本時間)

4×10229-3199

c193

composite cofactor 合成数の残り
5152003938812684796001194221487616925329228531216043042329508786438016933918081332309338629281931073598922046959168290275838235906805899002565600571059658075137674687647190941079292747442702861<193>

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 DomanovJanuary 16, 2022 09:01:16 UTC 2022 年 1 月 16 日 (日) 18 時 1 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:39:00 UTC 2022 年 2 月 18 日 (金) 18 時 39 分 0 秒 (日本時間)

4×10231-3199

c200

composite cofactor 合成数の残り
81050686632664987513711969926283226029330529547550693423065477514766232005502538000228571460959887589863439198502929754645939436263307848886464331878026564047387637983225420228861631271893819914956719<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 16, 2022 09:01:02 UTC 2022 年 1 月 16 日 (日) 18 時 1 分 2 秒 (日本時間)

4×10232-3199

c214

composite cofactor 合成数の残り
3239717915696497345318509410970039337970065745969681862172933316011001694098107399532094984232005800973846404756449268123162197443619370031293515776248020130559511355946193547639545516413066958662125049293672133437<214>

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 16, 2022 09:00:55 UTC 2022 年 1 月 16 日 (日) 18 時 0 分 55 秒 (日本時間)

4×10234-3199

c233

composite cofactor 合成数の残り
63492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063492063487<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)
403e633501000Dmitry DomanovJanuary 16, 2022 09:00:44 UTC 2022 年 1 月 16 日 (日) 18 時 0 分 44 秒 (日本時間)
2350Ignacio SantosMarch 15, 2022 20:17:52 UTC 2022 年 3 月 16 日 (水) 5 時 17 分 52 秒 (日本時間)
4511e64480Ignacio SantosMarch 15, 2022 22:47:03 UTC 2022 年 3 月 16 日 (水) 7 時 47 分 3 秒 (日本時間)

4×10235-3199

c165

composite cofactor 合成数の残り
254784318832058566921482947184463246525700034353937258596279895891022032097840899812674844504925084047609921222689215463310695231680342012918751392359603051780715701<165>

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 DomanovJanuary 16, 2022 09:00:36 UTC 2022 年 1 月 16 日 (日) 18 時 0 分 36 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:39:20 UTC 2022 年 2 月 18 日 (金) 18 時 39 分 20 秒 (日本時間)

4×10236-3199

c170

composite cofactor 合成数の残り
46501456411983111712789304104458956916306453085791804131738595588350634408390775870391439118417276862700273940842949782492345475349972881259805182877985176056372631971749<170>

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 DomanovJanuary 16, 2022 09:00:29 UTC 2022 年 1 月 16 日 (日) 18 時 0 分 29 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovFebruary 18, 2022 09:39:00 UTC 2022 年 2 月 18 日 (金) 18 時 39 分 0 秒 (日本時間)

4×10237-3199

c228

composite cofactor 合成数の残り
798576709986165043812752258940577706766819430059008368364602683489620994429337100013641546897414416782048673231707104074745508720582750126123861535241839953665125876990529337604374727156409601962821056613627072255328727048238793<228>

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)
403e622001000Dmitry DomanovJanuary 16, 2022 08:59:29 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 29 秒 (日本時間)
1200ebinaMarch 22, 2022 03:07:26 UTC 2022 年 3 月 22 日 (火) 12 時 7 分 26 秒 (日本時間)

4×10238-3199

c203

composite cofactor 合成数の残り
42392562619391697134190003149842200265123087297467491175329345676767096143585480743411470085064987388171658374543389275483250582576937463539982514157098515092679531251402103237469209019144986026203962971<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)
403e622001000Dmitry DomanovJanuary 16, 2022 08:59:34 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 34 秒 (日本時間)
1200ebinaMarch 22, 2022 11:50:57 UTC 2022 年 3 月 22 日 (火) 20 時 50 分 57 秒 (日本時間)

4×10239-3199

c225

composite cofactor 合成数の残り
570643660617559642489776737957235177134321511158819914656633871775917717109514105737181181650099626605760843270253694420733801900625208557807373250280142958293119344270378289466884564101622991337184523515715365751744309005737<225>

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)
403e622001000Dmitry DomanovJanuary 16, 2022 08:59:38 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 38 秒 (日本時間)
1200ebinaMarch 23, 2022 03:07:21 UTC 2022 年 3 月 23 日 (水) 12 時 7 分 21 秒 (日本時間)

4×10240-3199

c210

composite cofactor 合成数の残り
119839138687977395139499035405208274886911413497626643661956574888055575560935930413670141694087133975767619725886634567738777222308301519037050234723268722782054753424024468417020386972592719374404193789942603<210>

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)
403e622001000Dmitry DomanovJanuary 16, 2022 01:12:56 UTC 2022 年 1 月 16 日 (日) 10 時 12 分 56 秒 (日本時間)
1200ebinaMarch 23, 2022 06:08:45 UTC 2022 年 3 月 23 日 (水) 15 時 8 分 45 秒 (日本時間)

4×10242-3199

c228

composite cofactor 合成数の残り
277421232977428331483280411188231279871668152056696226999198219873027761160592759483548950545190052907249092997642976779360318176417919358367878763902628816845738658189933869271458978918932525943229406034332841898459712458745311<228>

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)
403e622001000Dmitry DomanovJanuary 16, 2022 08:59:44 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 44 秒 (日本時間)
1200ebinaMarch 23, 2022 09:47:59 UTC 2022 年 3 月 23 日 (水) 18 時 47 分 59 秒 (日本時間)

4×10243-3199

c235

composite cofactor 合成数の残り
3182684715834007081828362076481248857729482542306367695735493935135283009548513249772280301006639970673278993336175104775830780746591650405992293219667122353120554453340119835606600503314057586356255829897647063547944047298304041761101<235>

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)
403e622001000Dmitry DomanovJanuary 16, 2022 08:59:53 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 53 秒 (日本時間)
1200ebinaMarch 23, 2022 11:53:19 UTC 2022 年 3 月 23 日 (水) 20 時 53 分 19 秒 (日本時間)

4×10246-3199

c179

name 名前Dmitry Domanov
date 日付January 16, 2022 19:52:06 UTC 2022 年 1 月 17 日 (月) 4 時 52 分 6 秒 (日本時間)
composite number 合成数
12927917504911310245066132829112697675479829459252101167790782958535580745331019689203458732854459718083163711145280985384087768680703634957884272155587658559959715158794433112087<179>
prime factors 素因数
13164260985761959704090644256483767911278617<44>
composite cofactor 合成数の残り
982046581945901030925467135390625350475130750655173146209944581780161071729343280021501098259841690625324722481160888514155025080276911<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=957830040
Step 1 took 10146ms
Step 2 took 3307ms
********** Factor found in step 2: 13164260985761959704090644256483767911278617
Found probable prime factor of 44 digits: 13164260985761959704090644256483767911278617
Composite cofactor 982046581945901030925467135390625350475130750655173146209944581780161071729343280021501098259841690625324722481160888514155025080276911 has 135 digits

c135

name 名前Eric Jeancolas
date 日付January 20, 2022 02:11:31 UTC 2022 年 1 月 20 日 (木) 11 時 11 分 31 秒 (日本時間)
composite number 合成数
982046581945901030925467135390625350475130750655173146209944581780161071729343280021501098259841690625324722481160888514155025080276911<135>
prime factors 素因数
8969851223584292109628951152082182498244171176858465206347557065201<67>
109483040182853984267073963599864045505832242091151455955171648119711<69>
factorization results 素因数分解の結果
982046581945901030925467135390625350475130750655173146209944581780161071729343280021501098259841690625324722481160888514155025080276911=8969851223584292109628951152082182498244171176858465206347557065201*109483040182853984267073963599864045505832242091151455955171648119711

cado polynomial
n: 982046581945901030925467135390625350475130750655173146209944581780161071729343280021501098259841690625324722481160888514155025080276911
skew: 38461.618
c0: 378470186465960957041555980032
c1: -18575896828513774718589026
c2: 1789696211027604233683
c3: 7274842351688741
c4: -1188280481430
c5: -5922000
Y0: -92460670244669771555308313
Y1: 14155224216188074091
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.346e-07
# f(x) = -5922000*x^5-1188280481430*x^4+7274842351688741*x^3+1789696211027604233683*x^2-18575896828513774718589026*x+378470186465960957041555980032
# g(x) = 14155224216188074091*x-92460670244669771555308313

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: 109483040182853984267073963599864045505832242091151455955171648119711 8969851223584292109628951152082182498244171176858465206347557065201
Info:Square Root: Total cpu/real time for sqrt: 474.52/138.591
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 195.29/165.01
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 151.3s
Info:Square Root: Total cpu/real time for sqrt: 474.52/138.591
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.11/101.764
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17016152
Info:Lattice Sieving: Average J: 3803.82 for 590666 special-q, max bucket fill -bkmult 1.0,1s:1.192420
Info:Lattice Sieving: Total time: 198401s
Info:Generate Factor Base: Total cpu/real time for makefb: 15.24/4.05557
Info:Linear Algebra: Total cpu/real time for bwc: 24917.6/6412.73
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15840.2, WCT time 4061.38, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39936 iterations)
Info:Linear Algebra: Lingen CPU time 240.11, WCT time 60.98
Info:Linear Algebra: Mksol: CPU time 8622.81,  WCT time 2212.39, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 247.49/62.7352
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 76.01/87.2612
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 87.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6842.39
Info:Polynomial Selection (root optimized): Rootsieve time: 6839.96
Info:Filtering - Merging: Merged matrix has 1272254 rows and total weight 216285199 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 327.34/91.304
Info:Filtering - Merging: Total cpu/real time for replay: 46.48/39.5287
Info:Quadratic Characters: Total cpu/real time for characters: 42.16/17.3872
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): 54239/40.300/48.513/53.250/0.962
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 44251/39.420/43.380/49.150/1.109
Info:Polynomial Selection (size optimized): Total time: 11137.6
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 415995/111771
Info:root: Cleaning up computation data in /tmp/cado.7p0oona1
109483040182853984267073963599864045505832242091151455955171648119711 8969851223584292109628951152082182498244171176858465206347557065201
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)
403e633501000Dmitry DomanovJanuary 16, 2022 08:59:58 UTC 2022 年 1 月 16 日 (日) 17 時 59 分 58 秒 (日本時間)
2350Ignacio SantosJanuary 17, 2022 17:01:05 UTC 2022 年 1 月 18 日 (火) 2 時 1 分 5 秒 (日本時間)

4×10247-3199

c213

composite cofactor 合成数の残り
218580259148519311575567825158406257707645327173026617866517402016066306394998504079077081126541780505017462119470074627803255931543420402905871511077771105322543376694495435630109924309146271629060458383122388409<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)
403e622001000Dmitry DomanovJanuary 16, 2022 01:12:30 UTC 2022 年 1 月 16 日 (日) 10 時 12 分 30 秒 (日本時間)
1200ebinaMarch 23, 2022 13:51:54 UTC 2022 年 3 月 23 日 (水) 22 時 51 分 54 秒 (日本時間)

4×10248-3199

c233

composite cofactor 合成数の残り
90907935212644581168473358721080883536276671203503499794734898735052630870791556510830376473568870722828434873208492424795779050589509281311278514545365825258111797453488002965208398999151329051253834001403104982824917090413808951327<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)
403e622001000Dmitry DomanovJanuary 14, 2022 21:43:25 UTC 2022 年 1 月 15 日 (土) 6 時 43 分 25 秒 (日本時間)
1200ebinaMarch 23, 2022 23:11:22 UTC 2022 年 3 月 24 日 (木) 8 時 11 分 22 秒 (日本時間)

4×10249-3199

c134

name 名前Ignacio Santos
date 日付December 30, 2021 13:24:49 UTC 2021 年 12 月 30 日 (木) 22 時 24 分 49 秒 (日本時間)
composite number 合成数
73187414670870016867592237633274799273788705089979855305626959123107882647779758755864094705591413007295746159628350274714666611020639<134>
prime factors 素因数
49878332367445892187222569344214777429<38>
1467318797503287643939539539086896236234108662979268152923807716965187451639987105193864197707491<97>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1384988123
Step 1 took 4828ms
Step 2 took 3235ms
********** Factor found in step 2: 49878332367445892187222569344214777429
Found prime factor of 38 digits: 49878332367445892187222569344214777429
Prime cofactor 1467318797503287643939539539086896236234108662979268152923807716965187451639987105193864197707491 has 97 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)

4×10254-3199

c232

composite cofactor 合成数の残り
1708127862499283694630794671309161630822708028788597478794992224148042582169353062852664532016729447064211572715823758773135742696310624776812034620974359566670643920925086719472646577522314386776206054273411375773707055192132973291<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)
403e622001000Dmitry DomanovJanuary 14, 2022 21:43:42 UTC 2022 年 1 月 15 日 (土) 6 時 43 分 42 秒 (日本時間)
1200ebinaMarch 24, 2022 12:41:04 UTC 2022 年 3 月 24 日 (木) 21 時 41 分 4 秒 (日本時間)

4×10257-3199

c241

composite cofactor 合成数の残り
8413389492457218942018165216905033992328723086426523902492579617183386691237576552136304272321155351815469239844742636584986788024382132379862918629008479671892580983823700909747270470621298433602576078075855617608397646619682591510882804779<241>

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)
403e622001000Dmitry DomanovJanuary 14, 2022 21:41:53 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 53 秒 (日本時間)
1200ebinaMarch 30, 2022 06:27:23 UTC 2022 年 3 月 30 日 (水) 15 時 27 分 23 秒 (日本時間)

4×10258-3199

c229

composite cofactor 合成数の残り
1387592535914635356463118407878309478857212407532688359617181333831082334954869529265685535196470891472020277008224629897678230995907157328918029221473231676751663645972822924831045510849930746286368718521701800885151803677499047<229>

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)
403e622001000Dmitry DomanovJanuary 14, 2022 21:41:42 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 42 秒 (日本時間)
1200ebinaMarch 30, 2022 10:21:51 UTC 2022 年 3 月 30 日 (水) 19 時 21 分 51 秒 (日本時間)

4×10259-3199

c249

composite cofactor 合成数の残り
231342632368678464609211130163809587299724619943627187651961711405801369974062163127011765157100371643722188336798857330922951844508889990683970248229184239060823335045313172811310665537084512779733189839660243112048712471082261394425533554085866893<249>

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 14, 2022 21:41:34 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 34 秒 (日本時間)

4×10260-3199

c229

composite cofactor 合成数の残り
1099885340149723143970686653301662562766450278347647398351296723655698414291095649872443891550749527255098818398129104071418120667186751804528896852831549411943709206676697012850616499628513249657230592640948877224475130747921257<229>

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 14, 2022 21:41:06 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 6 秒 (日本時間)

4×10261-3199

c221

composite cofactor 合成数の残り
13472071364473154081674391751729094549780859748537000310052034187762419117686805804122333146042266983582821729361604320572966964294078691705467516535342527891084222619023317468271690772170132284523373007178553296698918373<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 14, 2022 21:41:15 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 15 秒 (日本時間)

4×10262-3199

c236

composite cofactor 合成数の残り
10334728233654687235769002570124191717010301027867377517381812976857233927399728096528601633413964944339321957142452827647184087782746224653993144063697270327745228676333984529466366178610518980202456890116652540883817585504979442856537<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 14, 2022 21:41:21 UTC 2022 年 1 月 15 日 (土) 6 時 41 分 21 秒 (日本時間)

4×10264-3199

c245

composite cofactor 合成数の残り
15086755838568321828361046643708724219971894386931091658169349278900708475823352927504426331351351797188068765596000983523531181115571323334863943781296109526996387121413343139226467237144022032727835663985695698987601980139870454548716912598949<245>

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 14, 2022 21:39:47 UTC 2022 年 1 月 15 日 (土) 6 時 39 分 47 秒 (日本時間)

4×10265-3199

c244

composite cofactor 合成数の残り
1210410101022445422291826446246750441138435302990960997459571249961527321221097486518551157635769018359507282378095590691379549197357399442094629596146326321336865196142069781993160496825125299371010950544797136096898059832032407874320524636871<244>

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 14, 2022 21:39:38 UTC 2022 年 1 月 15 日 (土) 6 時 39 分 38 秒 (日本時間)

4×10266-3199

c223

composite cofactor 合成数の残り
8824791149463050078579004946925085691317363240489277002621005114990837527432747585322753041593630149215996527602879099214017822514348464497571889137700830544667922105391797015932412867096181122999563088097477823246205536589<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 14, 2022 21:39:30 UTC 2022 年 1 月 15 日 (土) 6 時 39 分 30 秒 (日本時間)

4×10267-3199

c181

composite cofactor 合成数の残り
1413750982449158963519656376842930121846396209716348988850898037284454109329218350511405938659761481742857772335288779550713667218799117482338413389089547049881133312668972581282597<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 14:12:09 UTC 2021 年 12 月 31 日 (金) 23 時 12 分 9 秒 (日本時間)
4511e64480Ignacio SantosJanuary 8, 2022 14:10:09 UTC 2022 年 1 月 8 日 (土) 23 時 10 分 9 秒 (日本時間)

4×10269-3199

c264

composite cofactor 合成数の残り
146842716399357856801185608092208415335812772599736490745421352325970272426278531998679883979569772867357341383251046346131043174328368948198662042589527250887755997331867843023667741922457500964573093348281921862787963155694028237120150014519073583986508091217227<264>

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)
403e61800 / 2078Dmitry DomanovDecember 31, 2021 23:53:23 UTC 2022 年 1 月 1 日 (土) 8 時 53 分 23 秒 (日本時間)

4×10270-3199

c186

composite cofactor 合成数の残り
194215828032289154616539278674085688135446006490911781805703161858299084566325305333741937386801303245911278327974469084812034738632947566488295849145162939888369661157752595894900360147<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 14, 2022 21:39:16 UTC 2022 年 1 月 15 日 (土) 6 時 39 分 16 秒 (日本時間)

4×10271-3199

c246

composite cofactor 合成数の残り
413593791825631508219963985368253354495614594358269424490819414958817934861446965992324340092242523707061365475832826901492463665797474032151618540912778530557810348232015456350584926387670611271735417281708789395831302885722100508898081659260241<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 14, 2022 21:38:58 UTC 2022 年 1 月 15 日 (土) 6 時 38 分 58 秒 (日本時間)

4×10272-3199

c223

composite cofactor 合成数の残り
1182594047708863048212045962377631486970163673035256342020723260755585349231737130476056479701350380428207914634591837781657575198771889564680158485615866420325384403491283433617674590745171112165276216756571401811060936219<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 14, 2022 21:39:05 UTC 2022 年 1 月 15 日 (土) 6 時 39 分 5 秒 (日本時間)

4×10273-3199

c257

composite cofactor 合成数の残り
10303915138477764736481048719502767858043306925573242469289470431178582843550652719867079477631775200507237888530627554672419887236979660143929234657454946309639782555255072771691743315477255875950401080228060823490162614618976607739311311188171298978522929<257>

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 DomanovDecember 31, 2021 09:02:14 UTC 2021 年 12 月 31 日 (金) 18 時 2 分 14 秒 (日本時間)

4×10274-3199

c263

composite cofactor 合成数の残り
94260782377794450521749205356501141455905855834309748511340838347525289125346470060378077469147672736006525789414620966132263696525257294665590417592901489752020102929057983815121856846636504254258377595583298841193961084513095934507019066644833331025100037921277<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 DomanovDecember 31, 2021 08:58:56 UTC 2021 年 12 月 31 日 (金) 17 時 58 分 56 秒 (日本時間)

4×10275-3199

c267

composite cofactor 合成数の残り
253684126297177550556330589100857641404979583092449949496532426242106088051886780477623141891488975507177497986637517168239727369373256667225209349638319909165303632954752457189045339250891031721919522834567693382707088413761478747705231265207043421296154153909280409<267>

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 DomanovDecember 31, 2021 08:58:23 UTC 2021 年 12 月 31 日 (金) 17 時 58 分 23 秒 (日本時間)

4×10276-3199

c207

composite cofactor 合成数の残り
724670083954666581953943551325635296556057645056518669948575311765407054940502714851943466294900447197731000508944901747699245085754663812306773934803657022834452359868195707891306528679589321754478005206239<207>

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 14, 2022 21:36:43 UTC 2022 年 1 月 15 日 (土) 6 時 36 分 43 秒 (日本時間)

4×10277-3199

c260

composite cofactor 合成数の残り
18724087527198515688847155115475828703876783455116251030360272848152085074758072221546314557497836455617209850388850783379711678226491892441453742739823625278575030765089446653610906355635471768542059552691773802413871012592473197319928991064250535494501572091<260>

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 DomanovDecember 31, 2021 08:58:07 UTC 2021 年 12 月 31 日 (金) 17 時 58 分 7 秒 (日本時間)

4×10278-3199

c267

composite cofactor 合成数の残り
724876335492753986681820147962622414493003391636939347658014052983463178628452094442551888650415942384904192384966197853656538346706059566025189810721912262715416281426990517260412842895803992271860854232087027433727741485217509445745631200586400844576966815242487489<267>

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 DomanovDecember 31, 2021 08:57:55 UTC 2021 年 12 月 31 日 (金) 17 時 57 分 55 秒 (日本時間)

4×10280-3199

c267

composite cofactor 合成数の残り
114854674682712896517110292615587889536322493729497097106594268553326435525655063615872872508434803315446457682412051606772381014772649068292860142238493125024033392105332867072822133274025132837071582475298873916403472314657836831800554228764492948466661878384649563<267>

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 DomanovDecember 31, 2021 08:54:50 UTC 2021 年 12 月 31 日 (金) 17 時 54 分 50 秒 (日本時間)

4×10281-3199

c247

composite cofactor 合成数の残り
6977764884024910349501028210883375852497543854332901628664667761582213804105146454810387539995435038850628179917533704802011525189791545004927710348378786101542595257792587581165498237255566929944179382733947992897926315166112646941484055248855151<247>

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 14, 2022 20:19:03 UTC 2022 年 1 月 15 日 (土) 5 時 19 分 3 秒 (日本時間)

4×10282-3199

c229

composite cofactor 合成数の残り
3969781093174000212676029573654364919206848729188350939454088129733364004120521879078525344440581922151964543523093906130615542968729726924751125080907663357820568304301673678146510134684516065203652423589838917998553795892965651<229>

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 14, 2022 19:01:27 UTC 2022 年 1 月 15 日 (土) 4 時 1 分 27 秒 (日本時間)

4×10283-3199

c229

name 名前Dmitry Domanov
date 日付January 14, 2022 23:35:16 UTC 2022 年 1 月 15 日 (土) 8 時 35 分 16 秒 (日本時間)
composite number 合成数
7840155921406271434704059715654963314518804431035027574912212637457009443870138177246212101263663259785989297510448341853298807808668612336962857233149381693327260241987457357127693400532533699867869316003394629265662084816095687<229>
prime factors 素因数
18210719028502245904263481880047888741<38>
composite cofactor 合成数の残り
430524237353580808858057826886641474221704069670624223441909646771076475251417584422373602411022458755501424220843313308078647744703795777648075444368906075672986667220526658910570369465944507<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2473747004
Step 1 took 23854ms
Step 2 took 9727ms
********** Factor found in step 2: 18210719028502245904263481880047888741
Found prime factor of 38 digits: 18210719028502245904263481880047888741
Composite cofactor 430524237353580808858057826886641474221704069670624223441909646771076475251417584422373602411022458755501424220843313308078647744703795777648075444368906075672986667220526658910570369465944507 has 192 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)
403e633501000Dmitry DomanovJanuary 14, 2022 19:01:40 UTC 2022 年 1 月 15 日 (土) 4 時 1 分 40 秒 (日本時間)
2350Ignacio SantosJanuary 17, 2022 17:01:37 UTC 2022 年 1 月 18 日 (火) 2 時 1 分 37 秒 (日本時間)
4511e64480Ignacio SantosJanuary 21, 2022 22:17:13 UTC 2022 年 1 月 22 日 (土) 7 時 17 分 13 秒 (日本時間)

4×10284-3199

c234

composite cofactor 合成数の残り
191683532435943009612262336543905021625174641902709022436373542638980940962200987138286839050116179960497352128116082781755556137870526648005863413836524200394387828270401596166141452161528712994910999215208539597294744435963424208469<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 14, 2022 18:24:07 UTC 2022 年 1 月 15 日 (土) 3 時 24 分 7 秒 (日本時間)

4×10286-3199

c253

composite cofactor 合成数の残り
2923170435963808424589201817784882019816055344228760966162523541726898475302023670280796647512295704153636664109837096927709120379249741631141302936314353405449462671750483532696121558546064183208103398801918601674132867430522325133373697991967882464491<253>

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 DomanovDecember 31, 2021 00:16:08 UTC 2021 年 12 月 31 日 (金) 9 時 16 分 8 秒 (日本時間)

4×10287-3199

c248

composite cofactor 合成数の残り
21496953981334416544238282066711526157183607337768129013225188752930612086146517818100964946667866229126973351075643321566881702773631693623437331698233967669339193377107642319468760385188264800673899202494480778337195184965384904669277484164762491<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 14, 2022 16:41:06 UTC 2022 年 1 月 15 日 (土) 1 時 41 分 6 秒 (日本時間)

4×10288-3199

c273

name 名前Dmitry Domanov
date 日付December 31, 2021 05:30:40 UTC 2021 年 12 月 31 日 (金) 14 時 30 分 40 秒 (日本時間)
composite number 合成数
196088214666193656721693602419167944145374401750748615715513603295478771118192331227711082804061888919823025826001153883558768773113070433958228837346930417201680443231495320373870279869957562293818109940440206003321415126207108675153695919213564648976408072395214698153291<273>
prime factors 素因数
1425482432235236546971929660115837271<37>
37355774752298518940779823152358981873053<41>
3682407742074960100379908949680505585059201925503161724970907445311850428612178744565426262417392688274432507454367733260487586131022859107916990329025309892036132439500633133351104731635470658257<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2819198315
Step 1 took 13585ms
Step 2 took 4942ms
********** Factor found in step 2: 1425482432235236546971929660115837271
Found prime factor of 37 digits: 1425482432235236546971929660115837271
Composite cofactor 137559194159072391067862825653937589052252096268074228327828531857891054510406846023143050476491617523551448579192597053462286889201523856228259375946758020993867075783421455485731579411380633982801872395263840630554760726978320720248621 has 237 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2049513247
Step 1 took 15363ms
Step 2 took 6270ms
********** Factor found in step 2: 37355774752298518940779823152358981873053
Found prime factor of 41 digits: 37355774752298518940779823152358981873053
Prime cofactor 3682407742074960100379908949680505585059201925503161724970907445311850428612178744565426262417392688274432507454367733260487586131022859107916990329025309892036132439500633133351104731635470658257 has 196 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 DomanovDecember 31, 2021 00:16:55 UTC 2021 年 12 月 31 日 (金) 9 時 16 分 55 秒 (日本時間)

4×10289-3199

c251

composite cofactor 合成数の残り
18837324706972406485292834696262632787051874967191583750495554122495984055589722518402881735743628209313637120112511579930562845016746178497714297890242954477835864965569035774278464021965746948537308220980710758122505129828235475850173061654145693001<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 DomanovDecember 31, 2021 00:15:42 UTC 2021 年 12 月 31 日 (金) 9 時 15 分 42 秒 (日本時間)

4×10290-3199

c265

composite cofactor 合成数の残り
2701156758549280176851831154189122162528405615222253584901720189383119588466054588665674058303306498286147205045705308236670256549791318563221356966248145119095688836030752892363091279748076851341203089923341294020072186918447431064953847296878628657373710661964961<265>

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 DomanovDecember 31, 2021 00:17:00 UTC 2021 年 12 月 31 日 (金) 9 時 17 分 0 秒 (日本時間)

4×10293-3199

c271

composite cofactor 合成数の残り
3265014823862521586453473287151932869405735029199564484584549862089945690005242905389483785078014565394287545754061277143841481278606742625277726695843092193767325206176212446380984143716355415737585279677923182949024770944382059605042875872227132310145645546038613329503<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 DomanovDecember 31, 2021 00:16:48 UTC 2021 年 12 月 31 日 (金) 9 時 16 分 48 秒 (日本時間)

4×10296-3199

c223

composite cofactor 合成数の残り
7707734500664051845035435391451966339058957947538156245559643536626464081757156040820355049745633267231915185153497903711112798181337756936245848939873851309262375044548304663507455367182934437544925158484268604384400110707<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 14, 2022 14:49:42 UTC 2022 年 1 月 14 日 (金) 23 時 49 分 42 秒 (日本時間)

4×10298-3199

c271

composite cofactor 合成数の残り
2374915798186107693586473434356206229743268249386685627595490869810087316700202113689268270166129916935407497687807069120142022881859207847458241363455508567950185655883488613939580631389344182639253990247055748990922410845197432519218415166813054873610619646375348194303<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 DomanovDecember 31, 2021 00:16:40 UTC 2021 年 12 月 31 日 (金) 9 時 16 分 40 秒 (日本時間)

4×10300-3199

c290

composite cofactor 合成数の残り
43432392532114367865579065445244667134021643142960101971299982444801753899314269063600702770522654213666278729177197610981578240471400956617184425576932983394520519300144438461663861630276053877630724184439349116635267192969043971801055160275326085480883778518748314457455436219457552364127<290>

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 00:19:50 UTC 2021 年 12 月 29 日 (水) 9 時 19 分 50 秒 (日本時間)
4511e636001800Dmitry DomanovDecember 31, 2021 09:24:01 UTC 2021 年 12 月 31 日 (金) 18 時 24 分 1 秒 (日本時間)
1800Dmitry DomanovJanuary 4, 2022 00:10:48 UTC 2022 年 1 月 4 日 (火) 9 時 10 分 48 秒 (日本時間)
5043e6200 / 6702Dmitry DomanovJanuary 6, 2022 14:46:01 UTC 2022 年 1 月 6 日 (木) 23 時 46 分 1 秒 (日本時間)