Table of contents 目次

9×10129-2

c129

name 名前Syj
date 日付May 7, 2022 14:49:44 UTC 2022 年 5 月 7 日 (土) 23 時 49 分 44 秒 (日本時間)
composite number 合成数
409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<129>
prime factors 素因数
7749170865329705701367407401465233020729719454475279<52>
52791571666229275839640301118631122321912810222701175531006509760592466805971<77>
factorization results 素因数分解の結果
7749170865329705701367407401465233020729719454475279

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10133-2

c111

name 名前Syj
date 日付May 7, 2022 14:50:10 UTC 2022 年 5 月 7 日 (土) 23 時 50 分 10 秒 (日本時間)
composite number 合成数
246825423329442337411710322788874987828941956081780974903848015537678845466530392597724263545435527207540003201<111>
prime factors 素因数
322980153295881300882686535374245681<36>
764212354259817914826162414738302636904208093549430799988635029318930051921<75>
factorization results 素因数分解の結果
322980153295881300882686535374245681

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10135-2

c115

name 名前Syj
date 日付May 7, 2022 14:50:30 UTC 2022 年 5 月 7 日 (土) 23 時 50 分 30 秒 (日本時間)
composite number 合成数
8047786730537365368723583368554452406638772491770483773778051833715426274835368297902702512270812586154123215138821<115>
prime factors 素因数
76597940396202042896939058314436731<35>
105065314927663497957948197510589922601009072551557666873424186207317167207467391<81>
factorization results 素因数分解の結果
76597940396202042896939058314436731

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10139-2

c129

name 名前Syj
date 日付May 7, 2022 14:50:51 UTC 2022 年 5 月 7 日 (土) 23 時 50 分 51 秒 (日本時間)
composite number 合成数
166481445170411471814287417216859204755018572323945282471214687884986569622858151898412629379191123182363160697238933713864324261<129>
prime factors 素因数
27006017847593202753585691860060421702793675869439<50>
6164605463491109529465426884508310193885223225122957563695148263483670272158299<79>
factorization results 素因数分解の結果
27006017847593202753585691860060421702793675869439

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10143-2

c89

name 名前Syj
date 日付May 7, 2022 14:51:35 UTC 2022 年 5 月 7 日 (土) 23 時 51 分 35 秒 (日本時間)
composite number 合成数
26318827477044766740479220264212349838946821190692580915247711411678579025079553059301139<89>
prime factors 素因数
2780258656945102244570860312564148790397351<43>
9466323362144807322230162277994074452804471989<46>
factorization results 素因数分解の結果
2780258656945102244570860312564148790397351

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10145-2

c139

name 名前Syj
date 日付May 7, 2022 14:51:52 UTC 2022 年 5 月 7 日 (土) 23 時 51 分 52 秒 (日本時間)
composite number 合成数
1942512088576479226192971136558211324508774305520632305814944470701931923239346972329433301451673817341444285364695205392379024340064972281<139>
prime factors 素因数
2362603236264828261277928716370308604069812603802757255492619<61>
822191411050255458283341315313167434435887351706158080710323387338257069737099<78>
factorization results 素因数分解の結果
2362603236264828261277928716370308604069812603802757255492619

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10149-2

c149

name 名前Syj
date 日付May 7, 2022 14:52:12 UTC 2022 年 5 月 7 日 (土) 23 時 52 分 12 秒 (日本時間)
composite number 合成数
40909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<149>
prime factors 素因数
6170601915084270477942248397427869779<37>
composite cofactor 合成数の残り
6629675916880504700778668999231454978515137956780242360760286139712558855587603687535812960939052774331031075471<112>
factorization results 素因数分解の結果
6170601915084270477942248397427869779

c112

name 名前Syj
date 日付May 9, 2022 03:45:46 UTC 2022 年 5 月 9 日 (月) 12 時 45 分 46 秒 (日本時間)
composite number 合成数
6629675916880504700778668999231454978515137956780242360760286139712558855587603687535812960939052774331031075471<112>
prime factors 素因数
2782804446309844612953361555481755907813104353511519<52>
2382372187766132206455953953264674487309477632802455106272209<61>
factorization results 素因数分解の結果
2782804446309844612953361555481755907813104353511519

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10152-2

c146

name 名前Bob Backstrom
date 日付May 9, 2022 15:30:46 UTC 2022 年 5 月 10 日 (火) 0 時 30 分 46 秒 (日本時間)
composite number 合成数
93950094127555416463021138562400713018581032060574010021760929579811335684312651716353391817614891048163620143484759311341634485279794863101142287<146>
prime factors 素因数
27073865484528894764477623799832737362183<41>
3470139651142254222538036172168441206161800404765354583774577691724919677228947221094386038925477650076089<106>
factorization results 素因数分解の結果
Number: n
N=93950094127555416463021138562400713018581032060574010021760929579811335684312651716353391817614891048163620143484759311341634485279794863101142287  ( 146 digits)
SNFS difficulty: 152 digits.
Divisors found:

Tue May 10 01:25:17 2022  p41 factor: 27073865484528894764477623799832737362183
Tue May 10 01:25:17 2022  p106 factor: 3470139651142254222538036172168441206161800404765354583774577691724919677228947221094386038925477650076089
Tue May 10 01:25:17 2022  elapsed time 00:06:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.335).
Factorization parameters were as follows:
#
# N = 9x10^152-2 = 89(151)8
#
n: 93950094127555416463021138562400713018581032060574010021760929579811335684312651716353391817614891048163620143484759311341634485279794863101142287
m: 1000000000000000000000000000000
deg: 5
c5: 450
c0: -1
skew: 0.29
# Murphy_E = 1.543e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1500770 hash collisions in 16826420 relations (16518903 unique)
Msieve: matrix is 535247 x 535479 (66.2 MB)

Sieving start time : 2022/05/10 00:50:32
Sieving end time  : 2022/05/10 01:19:00

Total sieving time: 0hrs 28min 28secs.

Total relation processing time: 0hrs 1min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 16sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10154-2

c155

name 名前Bob Backstrom
date 日付May 9, 2022 01:47:11 UTC 2022 年 5 月 9 日 (月) 10 時 47 分 11 秒 (日本時間)
composite number 合成数
44999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<155>
prime factors 素因数
6221344182693983028187978211195530374119<40>
431743608531109304864428545712663929845617<42>
16753377261901291840093308332779594221026756971303004677303458297937555513<74>
factorization results 素因数分解の結果
Number: n
N=44999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999  ( 155 digits)
SNFS difficulty: 155 digits.
Divisors found:

Mon May  9 11:39:08 2022  found factor: 431743608531109304864428545712663929845617
Mon May  9 11:39:24 2022  p40 factor: 6221344182693983028187978211195530374119
Mon May  9 11:39:24 2022  p42 factor: 431743608531109304864428545712663929845617
Mon May  9 11:39:24 2022  p74 factor: 16753377261901291840093308332779594221026756971303004677303458297937555513
Mon May  9 11:39:24 2022  elapsed time 00:07:13 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 9x10^154-2 = 89(153)8
#
n: 44999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
m: 5000000000000000000000000000000
deg: 5
c5: 72
c0: -5
skew: 0.59
# Murphy_E = 1.2e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1217148 hash collisions in 16715286 relations (16269653 unique)
Msieve: matrix is 531577 x 531819 (71.4 MB)

Sieving start time : 2022/05/09 10:47:47
Sieving end time  : 2022/05/09 11:31:39

Total sieving time: 0hrs 43min 52secs.

Total relation processing time: 0hrs 1min 52sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 21sec.

Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10158-2

c113

name 名前Eric Jeancolas
date 日付May 13, 2022 09:37:13 UTC 2022 年 5 月 13 日 (金) 18 時 37 分 13 秒 (日本時間)
composite number 合成数
27297527544476864255085244976398780317573860236372160996536279180297593583696801921754148977588938873121289941689<113>
prime factors 素因数
15516286704395344937381636989063266006196044795430081<53>
1759282234501648644597613017380379138929998038800730976818169<61>
factorization results 素因数分解の結果
27297527544476864255085244976398780317573860236372160996536279180297593583696801921754148977588938873121289941689=15516286704395344937381636989063266006196044795430081*1759282234501648644597613017380379138929998038800730976818169

cado polynomial
n: 27297527544476864255085244976398780317573860236372160996536279180297593583696801921754148977588938873121289941689
skew: 6143.948
c0: 3129915513995618930744260
c1: 1346821054452761162041
c2: 3099915687146726
c3: -3825944750893
c4: -4558705410
c5: 495000
Y0: -4628447525045207298850
Y1: 109456427312439887
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.435e-06
# f(x) = 495000*x^5-4558705410*x^4-3825944750893*x^3+3099915687146726*x^2+1346821054452761162041*x+3129915513995618930744260
# g(x) = 109456427312439887*x-4628447525045207298850

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

cado log (extracts)
Info:Square Root: Factors: 15516286704395344937381636989063266006196044795430081 1759282234501648644597613017380379138929998038800730976818169
Info:Square Root: Total cpu/real time for sqrt: 126.85/37.5362
Info:Generate Free Relations: Total cpu/real time for freerel: 63.84/17.1545
Info:Filtering - Singleton removal: Total cpu/real time for purge: 56.21/65.032
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6380355
Info:Lattice Sieving: Average J: 1893.91 for 85238 special-q, max bucket fill -bkmult 1.0,1s:1.245650
Info:Lattice Sieving: Total time: 10310s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.2/1.12527
Info:Linear Algebra: Total cpu/real time for bwc: 2038.28/525.79
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1250.03, WCT time 319.46, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12672 iterations)
Info:Linear Algebra: Lingen CPU time 63.97, WCT time 16.3
Info:Linear Algebra: Mksol: CPU time 691.58,  WCT time 176.71, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6400 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 25.34/26.2561
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 337.11
Info:Polynomial Selection (root optimized): Rootsieve time: 336.04
Info:Filtering - Merging: Merged matrix has 402488 rows and total weight 62646750 (155.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.89/19.0626
Info:Filtering - Merging: Total cpu/real time for replay: 13.67/11.1413
Info:Quadratic Characters: Total cpu/real time for characters: 15/5.82991
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21601/32.610/40.013/45.880/1.083
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16603/31.730/35.422/40.480/0.811
Info:Polynomial Selection (size optimized): Total time: 1834.93
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 89.18/92.9337
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 68.2s
Info:Square Root: Total cpu/real time for sqrt: 126.85/37.5362
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 23528.1/6516.12
Info:root: Cleaning up computation data in /tmp/cado.fwuyck2p
15516286704395344937381636989063266006196044795430081 1759282234501648644597613017380379138929998038800730976818169
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10160-2

c109

name 名前Eric Jeancolas
date 日付May 9, 2022 10:12:27 UTC 2022 年 5 月 9 日 (月) 19 時 12 分 27 秒 (日本時間)
composite number 合成数
8491136986254645939444769061077939869722663495589090122799453921413260327867377538800549869852911355887796383<109>
prime factors 素因数
21058058400613956390923590913525240615627593<44>
403225065897199873529489172118975981274679193481381400384156837031<66>
factorization results 素因数分解の結果
8491136986254645939444769061077939869722663495589090122799453921413260327867377538800549869852911355887796383=21058058400613956390923590913525240615627593*403225065897199873529489172118975981274679193481381400384156837031

cado polynomial
n: 8491136986254645939444769061077939869722663495589090122799453921413260327867377538800549869852911355887796383
skew: 24295.868
c0: 58853906608714844094903573
c1: -288229062473614191689
c2: -452172726279427249
c3: 3657704812581
c4: 272230788
c5: 6300
Y0: -1049020417823062276610
Y1: 1457750585995801
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.780e-06
# f(x) = 6300*x^5+272230788*x^4+3657704812581*x^3-452172726279427249*x^2-288229062473614191689*x+58853906608714844094903573
# g(x) = 1457750585995801*x-1049020417823062276610

cado parameters (extracts)
tasks.lim0 = 1400000
tasks.lim1 = 2500000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 21058058400613956390923590913525240615627593 403225065897199873529489172118975981274679193481381400384156837031
Info:Square Root: Total cpu/real time for sqrt: 77.58/23.51
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 83.3/90.9347
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 65.10000000000001s
Info:Square Root: Total cpu/real time for sqrt: 77.58/23.51
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.51/71.6532
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5106225
Info:Lattice Sieving: Average J: 1907.26 for 75543 special-q, max bucket fill -bkmult 1.0,1s:1.275090
Info:Lattice Sieving: Total time: 7426.48s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/0.61248
Info:Linear Algebra: Total cpu/real time for bwc: 996.18/262.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 597.62, WCT time 156.81, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8832 iterations)
Info:Linear Algebra: Lingen CPU time 43.37, WCT time 11.05
Info:Linear Algebra: Mksol: CPU time 333.12,  WCT time 85.88, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4480 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.91/16.5536
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.85/21.2318
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.499999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 251.22
Info:Polynomial Selection (root optimized): Rootsieve time: 250.24
Info:Filtering - Merging: Merged matrix has 281795 rows and total weight 43713458 (155.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 44.1/13.16
Info:Filtering - Merging: Total cpu/real time for replay: 9.33/7.52019
Info:Quadratic Characters: Total cpu/real time for characters: 10.5/4.08451
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11823/31.400/38.660/44.170/1.070
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9108/30.390/34.245/39.140/0.861
Info:Polynomial Selection (size optimized): Total time: 714.54
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 15737.5/4442.19
Info:root: Cleaning up computation data in /tmp/cado.jk22akx4
21058058400613956390923590913525240615627593 403225065897199873529489172118975981274679193481381400384156837031
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10161-2

c133

name 名前Syj
date 日付May 7, 2022 14:53:11 UTC 2022 年 5 月 7 日 (土) 23 時 53 分 11 秒 (日本時間)
composite number 合成数
2913779001288531227861199398020627505287315515406964506071801314551679847351738790415140207934022786085587538537317355268316610442741<133>
prime factors 素因数
6033060401998840982903519625918072427433658672243031<52>
482968643961057261892239580823666044545219063085401048871554217001669598503147411<81>
factorization results 素因数分解の結果
6033060401998840982903519625918072427433658672243031

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10166-2

c116

name 名前Eric Jeancolas
date 日付May 13, 2022 12:50:10 UTC 2022 年 5 月 13 日 (金) 21 時 50 分 10 秒 (日本時間)
composite number 合成数
50614974815957428111013993155157101140326653012170774515873094791280067088206594012723579703698929456379632699400399<116>
prime factors 素因数
23449139842197360021519008548039418259640183973083783097<56>
2158500275770218866100580990108400799581272337326733707245767<61>
factorization results 素因数分解の結果
50614974815957428111013993155157101140326653012170774515873094791280067088206594012723579703698929456379632699400399=23449139842197360021519008548039418259640183973083783097*2158500275770218866100580990108400799581272337326733707245767

cado polynomial
n: 50614974815957428111013993155157101140326653012170774515873094791280067088206594012723579703698929456379632699400399
skew: 17575.396
c0: -135838870451022745262223660
c1: -5190365665990809920633
c2: 2580828489486441120
c3: -21895978823683
c4: -447995640
c5: 89280
Y0: -20268174189287602450106
Y1: 21275751827846411
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.823e-07
# f(x) = 89280*x^5-447995640*x^4-21895978823683*x^3+2580828489486441120*x^2-5190365665990809920633*x-135838870451022745262223660
# g(x) = 21275751827846411*x-20268174189287602450106

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

cado log (extracts)
Info:Square Root: Factors: 2158500275770218866100580990108400799581272337326733707245767 23449139842197360021519008548039418259640183973083783097
Info:Square Root: Total cpu/real time for sqrt: 136.16/39.6321
Info:Filtering - Singleton removal: Total cpu/real time for purge: 99.68/114.974
Info:Generate Free Relations: Total cpu/real time for freerel: 64.05/16.6505
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7346324
Info:Lattice Sieving: Average J: 1887.85 for 166842 special-q, max bucket fill -bkmult 1.0,1s:1.267020
Info:Lattice Sieving: Total time: 18512.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.22/1.13351
Info:Linear Algebra: Total cpu/real time for bwc: 2590.26/668.64
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1604.21, WCT time 410.94, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13824 iterations)
Info:Linear Algebra: Lingen CPU time 68.13, WCT time 17.36
Info:Linear Algebra: Mksol: CPU time 880.25,  WCT time 224.9, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6912 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.51/32.9429
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 32.099999999999994s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 323.18
Info:Polynomial Selection (root optimized): Rootsieve time: 322.06
Info:Filtering - Merging: Merged matrix has 438689 rows and total weight 68444893 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.59/21.0068
Info:Filtering - Merging: Total cpu/real time for replay: 14.82/11.9705
Info:Quadratic Characters: Total cpu/real time for characters: 15.79/6.14626
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21786/34.190/41.321/46.850/1.060
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17135/32.630/36.555/41.730/0.831
Info:Polynomial Selection (size optimized): Total time: 1773.72
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 128.12/139.426
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.1s
Info:Square Root: Total cpu/real time for sqrt: 136.16/39.6321
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39244.4/10762.1
Info:root: Cleaning up computation data in /tmp/cado.k387kwc9
2158500275770218866100580990108400799581272337326733707245767 23449139842197360021519008548039418259640183973083783097
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10167-2

c163

name 名前Syj
date 日付May 7, 2022 14:53:40 UTC 2022 年 5 月 7 日 (土) 23 時 53 分 40 秒 (日本時間)
composite number 合成数
1521858967638514530371232130839288311108555891116063728689747067039578478885052301219854510282693758010896510208291764037458022056809304307537260180391016297418589<163>
prime factors 素因数
87209796066156970157564833137357681179<38>
17450550698272920723177914024879216859089171180998308075927336156746802273293659124318034344905899023443044391568095306914791<125>
factorization results 素因数分解の結果
87209796066156970157564833137357681179

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10168-2

c139

name 名前Taiyo Kodama
date 日付May 20, 2022 06:19:51 UTC 2022 年 5 月 20 日 (金) 15 時 19 分 51 秒 (日本時間)
composite number 合成数
1654393634184400717609229325080424451203547465839539228557272530971101754986481512013090022730347703874260566819886443271688450455891182617<139>
prime factors 素因数
204921299520327544996869604214777091145769019849002823587892703<63>
8073312232827657331553508453205582166117966764232444184504340489601542962439<76>
factorization results 素因数分解の結果
Fri May 20 15:13:28 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 15:13:28 2022  random seeds: 7e0b1604 4756c2e8
Fri May 20 15:13:28 2022  factoring 1654393634184400717609229325080424451203547465839539228557272530971101754986481512013090022730347703874260566819886443271688450455891182617 (139 digits)
Fri May 20 15:13:28 2022  searching for 15-digit factors
Fri May 20 15:13:28 2022  commencing number field sieve (139-digit input)
Fri May 20 15:13:28 2022  R0: -1000000000000000000000000000000000
Fri May 20 15:13:28 2022  R1: 1
Fri May 20 15:13:28 2022  A0: -1
Fri May 20 15:13:28 2022  A1: 0
Fri May 20 15:13:28 2022  A2: 0
Fri May 20 15:13:28 2022  A3: 0
Fri May 20 15:13:28 2022  A4: 0
Fri May 20 15:13:28 2022  A5: 4500
Fri May 20 15:13:28 2022  skew 0.19, size 1.201e-11, alpha -1.230, combined = 3.601e-10 rroots = 1
Fri May 20 15:13:28 2022  
Fri May 20 15:13:28 2022  commencing square root phase
Fri May 20 15:13:28 2022  reading relations for dependency 1
Fri May 20 15:13:28 2022  read 354198 cycles
Fri May 20 15:13:29 2022  cycles contain 1197364 unique relations
Fri May 20 15:13:38 2022  read 1197364 relations
Fri May 20 15:13:41 2022  multiplying 1197364 relations
Fri May 20 15:14:04 2022  multiply complete, coefficients have about 39.00 million bits
Fri May 20 15:14:04 2022  initial square root is modulo 398441
Fri May 20 15:14:32 2022  GCD is N, no factor found
Fri May 20 15:14:32 2022  reading relations for dependency 2
Fri May 20 15:14:32 2022  read 354202 cycles
Fri May 20 15:14:32 2022  cycles contain 1196830 unique relations
Fri May 20 15:14:42 2022  read 1196830 relations
Fri May 20 15:14:45 2022  multiplying 1196830 relations
Fri May 20 15:15:09 2022  multiply complete, coefficients have about 38.99 million bits
Fri May 20 15:15:09 2022  initial square root is modulo 395921
Fri May 20 15:15:37 2022  GCD is 1, no factor found
Fri May 20 15:15:37 2022  reading relations for dependency 3
Fri May 20 15:15:37 2022  read 354213 cycles
Fri May 20 15:15:38 2022  cycles contain 1195050 unique relations
Fri May 20 15:15:47 2022  read 1195050 relations
Fri May 20 15:15:50 2022  multiplying 1195050 relations
Fri May 20 15:16:13 2022  multiply complete, coefficients have about 38.93 million bits
Fri May 20 15:16:13 2022  initial square root is modulo 388621
Fri May 20 15:16:41 2022  GCD is N, no factor found
Fri May 20 15:16:41 2022  reading relations for dependency 4
Fri May 20 15:16:41 2022  read 354214 cycles
Fri May 20 15:16:41 2022  cycles contain 1195508 unique relations
Fri May 20 15:16:50 2022  read 1195508 relations
Fri May 20 15:16:53 2022  multiplying 1195508 relations
Fri May 20 15:17:16 2022  multiply complete, coefficients have about 38.94 million bits
Fri May 20 15:17:16 2022  initial square root is modulo 390281
Fri May 20 15:17:44 2022  sqrtTime: 256
Fri May 20 15:17:44 2022  p63 factor: 204921299520327544996869604214777091145769019849002823587892703
Fri May 20 15:17:44 2022  p76 factor: 8073312232827657331553508453205582166117966764232444184504340489601542962439
Fri May 20 15:17:44 2022  elapsed time 00:04:16
Fri May 20 15:17:44 2022 -> Computing time scale for this machine...
Fri May 20 15:17:44 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 20:10:38 UTC 2022 年 5 月 11 日 (水) 5 時 10 分 38 秒 (日本時間)

9×10169-2

c166

name 名前Bob Backstrom
date 日付May 10, 2022 01:07:35 UTC 2022 年 5 月 10 日 (火) 10 時 7 分 35 秒 (日本時間)
composite number 合成数
2419224772861674103542820278479651631632707918929089833879898930165044890059674211063921294554056233535831406913606795333584215902370840277404440621471963872910058599<166>
prime factors 素因数
10336359589010134129315395530859629782588370670016846421<56>
234049981720242396528509683786855343799407668388293493420214884565054136188218727747589961413896413669647644619<111>
factorization results 素因数分解の結果
Number: n
N=2419224772861674103542820278479651631632707918929089833879898930165044890059674211063921294554056233535831406913606795333584215902370840277404440621471963872910058599  ( 166 digits)
SNFS difficulty: 170 digits.
Divisors found:

Tue May 10 11:02:47 2022  p56 factor: 10336359589010134129315395530859629782588370670016846421
Tue May 10 11:02:47 2022  p111 factor: 234049981720242396528509683786855343799407668388293493420214884565054136188218727747589961413896413669647644619
Tue May 10 11:02:47 2022  elapsed time 00:12:25 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 9x10^169-2 = 89(168)8
#
n: 2419224772861674103542820278479651631632707918929089833879898930165044890059674211063921294554056233535831406913606795333584215902370840277404440621471963872910058599
m: 5000000000000000000000000000000000
deg: 5
c5: 72
c0: -5
skew: 0.59
# Murphy_E = 3.119e-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 1606920 hash collisions in 15665382 relations (15073070 unique)
Msieve: matrix is 597798 x 598025 (203.9 MB)

Sieving start time : 2022/05/10 09:46:24
Sieving end time  : 2022/05/10 10:50:05

Total sieving time: 1hrs 3min 41secs.

Total relation processing time: 0hrs 5min 24sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 13sec.

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) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10170-2

c113

name 名前Eric Jeancolas
date 日付May 9, 2022 13:41:12 UTC 2022 年 5 月 9 日 (月) 22 時 41 分 12 秒 (日本時間)
composite number 合成数
32120876349744359739195892617221122053934909468363010415698770331275313370185079344693545644515629689989516350009<113>
prime factors 素因数
3342256613336155070593103468206104907475228768799247<52>
9610535654736014564582617756526067568153969357159616003688247<61>
factorization results 素因数分解の結果
32120876349744359739195892617221122053934909468363010415698770331275313370185079344693545644515629689989516350009=3342256613336155070593103468206104907475228768799247*9610535654736014564582617756526067568153969357159616003688247

cado polynomial
n: 32120876349744359739195892617221122053934909468363010415698770331275313370185079344693545644515629689989516350009
skew: 16264.591
c0: 8462836067640961235811532
c1: 2074241918805149719730
c2: -170013313664372321
c3: -2714524919573
c4: 254573018
c5: 12000
Y0: -5568203600952495309505
Y1: 36630275953649
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.323e-06
# f(x) = 12000*x^5+254573018*x^4-2714524919573*x^3-170013313664372321*x^2+2074241918805149719730*x+8462836067640961235811532
# g(x) = 36630275953649*x-5568203600952495309505

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

cado log (extracts)
Info:Square Root: Factors: 9610535654736014564582617756526067568153969357159616003688247 3342256613336155070593103468206104907475228768799247
Info:Square Root: Total cpu/real time for sqrt: 124.87/38.2699
Info:Filtering - Singleton removal: Total cpu/real time for purge: 75.59/87.1935
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6679959
Info:Lattice Sieving: Average J: 1895.06 for 105741 special-q, max bucket fill -bkmult 1.0,1s:1.242230
Info:Lattice Sieving: Total time: 12384.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/1.12846
Info:Linear Algebra: Total cpu/real time for bwc: 2230.39/576.49
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1374.67, WCT time 351.48, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13056 iterations)
Info:Linear Algebra: Lingen CPU time 64.35, WCT time 16.39
Info:Linear Algebra: Mksol: CPU time 756.43,  WCT time 194.27, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.48/16.4619
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.23/29.1789
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.500000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 318.47
Info:Polynomial Selection (root optimized): Rootsieve time: 317.38
Info:Filtering - Merging: Merged matrix has 413958 rows and total weight 64641653 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.39/20.0607
Info:Filtering - Merging: Total cpu/real time for replay: 13.86/11.3576
Info:Quadratic Characters: Total cpu/real time for characters: 15.19/5.90946
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21697/32.920/40.046/45.430/1.064
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16809/32.110/35.449/40.510/0.808
Info:Polynomial Selection (size optimized): Total time: 1829.9
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 102.9/111.45
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 82.49999999999999s
Info:Square Root: Total cpu/real time for sqrt: 124.87/38.2699
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 27504.5/7593.44
Info:root: Cleaning up computation data in /tmp/cado.l3vfbe2l
9610535654736014564582617756526067568153969357159616003688247 3342256613336155070593103468206104907475228768799247
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 22:05:01 UTC 2022 年 5 月 8 日 (日) 7 時 5 分 1 秒 (日本時間)

9×10171-2

c153

name 名前Bob Backstrom
date 日付May 10, 2022 18:00:41 UTC 2022 年 5 月 11 日 (水) 3 時 0 分 41 秒 (日本時間)
composite number 合成数
838483732003286603780266478102287863946907194082946256257602453531529536176059852766928109934334994745674743278452569626887545385427662867766300993091681<153>
prime factors 素因数
113665336539591580936826186279768114189734403280821<51>
7376776047385637026177785233734645703979278401081871466595223704992807423871745596054492250844843489661<103>
factorization results 素因数分解の結果
Number: n
N=838483732003286603780266478102287863946907194082946256257602453531529536176059852766928109934334994745674743278452569626887545385427662867766300993091681  ( 153 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed May 11 03:56:38 2022  p51 factor: 113665336539591580936826186279768114189734403280821
Wed May 11 03:56:38 2022  p103 factor: 7376776047385637026177785233734645703979278401081871466595223704992807423871745596054492250844843489661
Wed May 11 03:56:38 2022  elapsed time 00:09:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 9x10^171-2 = 89(170)8
#
n: 838483732003286603780266478102287863946907194082946256257602453531529536176059852766928109934334994745674743278452569626887545385427662867766300993091681
m: 10000000000000000000000000000000000
deg: 5
c5: 45
c0: -1
skew: 0.47
# Murphy_E = 3.132e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1666673 hash collisions in 15220011 relations (14498347 unique)
Msieve: matrix is 580669 x 580896 (201.0 MB)

Sieving start time : 2022/05/11 03:08:31
Sieving end time  : 2022/05/11 03:47:02

Total sieving time: 0hrs 38min 31secs.

Total relation processing time: 0hrs 5min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 31sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10175-2

c112

name 名前Syj
date 日付May 7, 2022 14:54:48 UTC 2022 年 5 月 7 日 (土) 23 時 54 分 48 秒 (日本時間)
composite number 合成数
2898752888117608672552772492782877182618120863875716868845026611463707588009967104972602556755257891346557324289<112>
prime factors 素因数
961031372829225384641980949436055063406558088739<48>
3016293713267480468863775036529558928520075768667124710997677451<64>
factorization results 素因数分解の結果
961031372829225384641980949436055063406558088739

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10177-2

c167

name 名前Bob Backstrom
date 日付May 12, 2022 14:08:22 UTC 2022 年 5 月 12 日 (木) 23 時 8 分 22 秒 (日本時間)
composite number 合成数
64861384574529879475153603022572600172538844364326767931635843057853259033631217981943319547586217236838146767167716040181080544453707567670013798842581596622714024881<167>
prime factors 素因数
6431792821493638371428024290458714798140987424902387589735745075766973217171<76>
10084495314864213912348357874586836161999266742740601355531028403120405840424625687480916011<92>
factorization results 素因数分解の結果
Number: n
N=64861384574529879475153603022572600172538844364326767931635843057853259033631217981943319547586217236838146767167716040181080544453707567670013798842581596622714024881  ( 167 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu May 12 23:53:54 2022  p76 factor: 6431792821493638371428024290458714798140987424902387589735745075766973217171
Thu May 12 23:53:54 2022  p92 factor: 10084495314864213912348357874586836161999266742740601355531028403120405840424625687480916011
Thu May 12 23:53:54 2022  elapsed time 00:16:38 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 9x10^177-2 = 89(176)8
#
n: 64861384574529879475153603022572600172538844364326767931635843057853259033631217981943319547586217236838146767167716040181080544453707567670013798842581596622714024881
m: 100000000000000000000000000000000000
deg: 5
c5: 450
c0: -1
skew: 0.29
# Murphy_E = 1.616e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3942501 hash collisions in 30577178 relations (28327440 unique)
Msieve: matrix is 791720 x 791946 (269.5 MB)

Sieving start time : 2022/05/12 22:32:53
Sieving end time  : 2022/05/12 23:36:45

Total sieving time: 1hrs 3min 52secs.

Total relation processing time: 0hrs 8min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 42sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:56:33 UTC 2022 年 5 月 12 日 (木) 3 時 56 分 33 秒 (日本時間)

9×10179-2

c117

name 名前Syj
date 日付May 7, 2022 14:55:21 UTC 2022 年 5 月 7 日 (土) 23 時 55 分 21 秒 (日本時間)
composite number 合成数
971368338291553082311561079297448704250130930779002336127664045751373339873461491840460210730334341027607215898365869<117>
prime factors 素因数
65816116101018868338446726920549181<35>
composite cofactor 合成数の残り
14758821939608736437191875358281615092013012625354609874584790826633481165567776049<83>
factorization results 素因数分解の結果
65816116101018868338446726920549181

c83

name 名前ivelive
date 日付May 8, 2022 16:30:49 UTC 2022 年 5 月 9 日 (月) 1 時 30 分 49 秒 (日本時間)
composite number 合成数
14758821939608736437191875358281615092013012625354609874584790826633481165567776049<83>
prime factors 素因数
15090776102973551574008357949992181139<38>
978002843518471826141723331427924438522731691<45>
factorization results 素因数分解の結果
starting SIQS on c83: 14758821939608736437191875358281615092013012625354609874584790826633481165567776049

P45 = 978002843518471826141723331427924438522731691
P38 = 15090776102973551574008357949992181139

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10180-2

c172

name 名前Bob Backstrom
date 日付May 13, 2022 12:02:58 UTC 2022 年 5 月 13 日 (金) 21 時 2 分 58 秒 (日本時間)
composite number 合成数
8295277564660319895729024634424951736277818667249110671126721578172058792790799900103474739323068519691330804688174552961547091534020923237589983184679716577352918567230737<172>
prime factors 素因数
336360699223132227208326903105362022344129<42>
1810001194579783500029180026842352639436036599306876298314303<61>
13625323245726306497821877441527972555654309066297694251914055626083951<71>
factorization results 素因数分解の結果
Number: n
N=8295277564660319895729024634424951736277818667249110671126721578172058792790799900103474739323068519691330804688174552961547091534020923237589983184679716577352918567230737  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Fri May 13 21:58:04 2022  found factor: 13625323245726306497821877441527972555654309066297694251914055626083951
Fri May 13 21:58:45 2022  p42 factor: 336360699223132227208326903105362022344129
Fri May 13 21:58:45 2022  p61 factor: 1810001194579783500029180026842352639436036599306876298314303
Fri May 13 21:58:45 2022  p71 factor: 13625323245726306497821877441527972555654309066297694251914055626083951
Fri May 13 21:58:45 2022  elapsed time 00:17:52 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 9x10^180-2 = 89(179)8
#
n: 8295277564660319895729024634424951736277818667249110671126721578172058792790799900103474739323068519691330804688174552961547091534020923237589983184679716577352918567230737
m: 1000000000000000000000000000000000000
deg: 5
c5: 9
c0: -2
skew: 0.74
# Murphy_E = 1.276e-10
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2822871 hash collisions in 29725199 relations (28823421 unique)
Msieve: matrix is 786194 x 786422 (266.7 MB)

Sieving start time : 2022/05/13 19:28:55
Sieving end time  : 2022/05/13 21:40:20

Total sieving time: 2hrs 11min 25secs.

Total relation processing time: 0hrs 8min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 3sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 12, 2022 15:46:35 UTC 2022 年 5 月 13 日 (金) 0 時 46 分 35 秒 (日本時間)

9×10183-2

c139

name 名前Bob Backstrom
date 日付June 9, 2022 18:55:36 UTC 2022 年 6 月 10 日 (金) 3 時 55 分 36 秒 (日本時間)
composite number 合成数
2912518954789515459501816917140549825810162000651185076329256155681362788274994953229215073783168742724559789833062550917608241824121956089<139>
prime factors 素因数
7101415684297664048083265859824385451171071542815784329<55>
410132160159212820481287474164609551934634062453278019505207252768319610106733523441<84>
factorization results 素因数分解の結果
Number: n
N=2912518954789515459501816917140549825810162000651185076329256155681362788274994953229215073783168742724559789833062550917608241824121956089  ( 139 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Jun 10 04:48:22 2022  p55 factor: 7101415684297664048083265859824385451171071542815784329
Fri Jun 10 04:48:22 2022  p84 factor: 410132160159212820481287474164609551934634062453278019505207252768319610106733523441
Fri Jun 10 04:48:22 2022  elapsed time 00:19:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 9x10^183-2 = 89(182)8
#
n: 2912518954789515459501816917140549825810162000651185076329256155681362788274994953229215073783168742724559789833062550917608241824121956089
m: 1000000000000000000000000000000000000
deg: 5
c5: 4500
c0: -1
skew: 0.19
# Murphy_E = 9.029e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2896104 hash collisions in 28513686 relations (27380473 unique)
Msieve: matrix is 876364 x 876591 (301.1 MB)

Sieving start time : 2022/06/10 01:29:05
Sieving end time  : 2022/06/10 04:27:45

Total sieving time: 2hrs 58min 40secs.

Total relation processing time: 0hrs 11min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 13, 2022 19:31:59 UTC 2022 年 5 月 14 日 (土) 4 時 31 分 59 秒 (日本時間)

9×10184-2

c142

name 名前Bob Backstrom
date 日付June 9, 2022 15:33:59 UTC 2022 年 6 月 10 日 (金) 0 時 33 分 59 秒 (日本時間)
composite number 合成数
1110748705177618305466500546108366571794005730111004624542661518709568641061865338140730383414598955366563705027345555774244210883692487462921<142>
prime factors 素因数
740340029593747781751404817133419526072662195738640995850954049993<66>
1500322366449815762258215185613480727656560762347054566403622116251945055297<76>
factorization results 素因数分解の結果
Number: n
N=1110748705177618305466500546108366571794005730111004624542661518709568641061865338140730383414598955366563705027345555774244210883692487462921  ( 142 digits)
SNFS difficulty: 185 digits.
Divisors found:

Fri Jun 10 01:26:13 2022  p66 factor: 740340029593747781751404817133419526072662195738640995850954049993
Fri Jun 10 01:26:13 2022  p76 factor: 1500322366449815762258215185613480727656560762347054566403622116251945055297
Fri Jun 10 01:26:13 2022  elapsed time 00:21:38 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 9x10^184-2 = 89(183)8
#
n: 1110748705177618305466500546108366571794005730111004624542661518709568641061865338140730383414598955366563705027345555774244210883692487462921
m: 5000000000000000000000000000000000000
deg: 5
c5: 72
c0: -5
skew: 0.59
# Murphy_E = 7.773e-11
type: snfs
lss: 1
rlim: 8600000
alim: 8600000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8600000/8600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2868508 hash collisions in 29146559 relations (28123393 unique)
Msieve: matrix is 918715 x 918941 (318.6 MB)

Sieving start time : 2022/06/09 22:20:28
Sieving end time  : 2022/06/10 01:04:08

Total sieving time: 2hrs 43min 40secs.

Total relation processing time: 0hrs 12min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8600000,8600000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 15:27:11 UTC 2022 年 5 月 15 日 (日) 0 時 27 分 11 秒 (日本時間)

9×10185-2

c133

name 名前Eric Jeancolas
date 日付July 4, 2022 03:09:00 UTC 2022 年 7 月 4 日 (月) 12 時 9 分 0 秒 (日本時間)
composite number 合成数
2392066073498663347744820539109698536431739944306478681502277900725534883540712632805717387055512592282370628569311594888258664430871<133>
prime factors 素因数
797479008715658595981658462560985128507316231222320071<54>
2999534843369846361072732417601110631470583787183130851344750430626116364874801<79>
factorization results 素因数分解の結果
2392066073498663347744820539109698536431739944306478681502277900725534883540712632805717387055512592282370628569311594888258664430871=797479008715658595981658462560985128507316231222320071*2999534843369846361072732417601110631470583787183130851344750430626116364874801

cado polynomial
n: 2392066073498663347744820539109698536431739944306478681502277900725534883540712632805717387055512592282370628569311594888258664430871
skew: 0.74
type: snfs
c0: -2
c5: 9
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 9*x^5-2
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8800000
tasks.lim1 = 8800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2999534843369846361072732417601110631470583787183130851344750430626116364874801 797479008715658595981658462560985128507316231222320071
Info:Square Root: Total cpu/real time for sqrt: 349.54/112.976
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22425934
Info:Lattice Sieving: Average J: 1894.16 for 949319 special-q, max bucket fill -bkmult 1.0,1s:1.177280
Info:Lattice Sieving: Total time: 176351s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.14/31.4775
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 90.23/103.523
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 103.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 217.19/181.77
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.4s
Info:Filtering - Merging: Merged matrix has 1433508 rows and total weight 243819573 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 361.52/101.535
Info:Filtering - Merging: Total cpu/real time for replay: 54.97/46.5774
Info:Linear Algebra: Total cpu/real time for bwc: 33500.3/8584.84
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 21393.27, WCT time 5465.87, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (45056 iterations)
Info:Linear Algebra: Lingen CPU time 284.9, WCT time 72.34
Info:Linear Algebra: Mksol: CPU time 11570.12,  WCT time 2952.79, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (22528 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.72/1.99456
Info:Quadratic Characters: Total cpu/real time for characters: 52.26/21.0215
Info:Square Root: Total cpu/real time for sqrt: 349.54/112.976
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.39/107.602
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 364881/97810.2
Info:root: Cleaning up computation data in /tmp/cado.j750q6fm
2999534843369846361072732417601110631470583787183130851344750430626116364874801 797479008715658595981658462560985128507316231222320071
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 15:27:35 UTC 2022 年 5 月 15 日 (日) 0 時 27 分 35 秒 (日本時間)

9×10187-2

c140

name 名前Andreas Tete
date 日付May 16, 2022 10:12:22 UTC 2022 年 5 月 16 日 (月) 19 時 12 分 22 秒 (日本時間)
composite number 合成数
59197696276465467509783241489288059118320023407343694431160071786883029056223833916359577519262443195261062046237816166181776284254911379421<140>
prime factors 素因数
363212933582733998285710945832750678643701<42>
162983448008139818076380649345318113725557034121019168110601308225374371321807372046757102856571721<99>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.1, --enable-asm-redc] [ECM]
Input number is 59197696276465467509783241489288059118320023407343694431160071786883029056223833916359577519262443195261062046237816166181776284254911379421 (140 digits)
Run 2468 out of 3915:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3660297409
Step 1 took 11250ms
Step 2 took 5141ms
********** Factor found in step 2: 363212933582733998285710945832750678643701
Found prime factor of 42 digits: 363212933582733998285710945832750678643701
Prime cofactor 162983448008139818076380649345318113725557034121019168110601308225374371321807372046757102856571721 has 99 digits
software ソフトウェア
GMP-ECM 7.0.5 via ecm.py_v0.44
execution environment 実行環境
AMD Ryzen 7 5800X running with 8 cores, Windows 11,

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 15, 2022 16:16:41 UTC 2022 年 5 月 16 日 (月) 1 時 16 分 41 秒 (日本時間)

9×10189-2

c137

name 名前Eric Jeancolas
date 日付August 11, 2022 18:56:49 UTC 2022 年 8 月 12 日 (金) 3 時 56 分 49 秒 (日本時間)
composite number 合成数
23237715054352218800302087902137434354068445985807126123411172392724261467331366389320024120057180192769324594758324002335015600735247461<137>
prime factors 素因数
2291146382802518548462256877137379290630915572597031<52>
10142396500186934578431224348902521820974971479848049262009266062200866787439245104531<86>
factorization results 素因数分解の結果
23237715054352218800302087902137434354068445985807126123411172392724261467331366389320024120057180192769324594758324002335015600735247461=2291146382802518548462256877137379290630915572597031*10142396500186934578431224348902521820974971479848049262009266062200866787439245104531

cado polynomial
n: 23237715054352218800302087902137434354068445985807126123411172392724261467331366389320024120057180192769324594758324002335015600735247461
skew: 0.59
type: snfs
c0: -5
c5: 72
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 72*x^5-5
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 10400000
tasks.lim1 = 10400000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 10142396500186934578431224348902521820974971479848049262009266062200866787439245104531 2291146382802518548462256877137379290630915572597031
Info:Square Root: Total cpu/real time for sqrt: 477.57/153.091
Info:Generate Free Relations: Total cpu/real time for freerel: 120.64/32.2883
Info:Filtering - Singleton removal: Total cpu/real time for purge: 242.96/284.558
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23793026
Info:Lattice Sieving: Average J: 1894.24 for 1476601 special-q, max bucket fill -bkmult 1.0,1s:1.121260
Info:Lattice Sieving: Total time: 292915s
Info:Linear Algebra: Total cpu/real time for bwc: 54857.7/14062.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 35129.11, WCT time 8967.76, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Linear Algebra: Lingen CPU time 353.48, WCT time 89.75
Info:Linear Algebra: Mksol: CPU time 19039.57,  WCT time 4872.51, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (28416 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 98.74/114.351
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 113.9s
Info:Filtering - Merging: Merged matrix has 1815800 rows and total weight 309927970 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 487.15/135.13
Info:Filtering - Merging: Total cpu/real time for replay: 71.59/60.9409
Info:Generate Factor Base: Total cpu/real time for makefb: 4.48/2.30364
Info:Quadratic Characters: Total cpu/real time for characters: 65.45/27.7966
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 361.86/354.589
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 291.40000000000003s
Info:Square Root: Total cpu/real time for sqrt: 477.57/153.091
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 604991/161651
Info:root: Cleaning up computation data in /tmp/cado.bx2bm9uo
10142396500186934578431224348902521820974971479848049262009266062200866787439245104531 2291146382802518548462256877137379290630915572597031
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-122-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.9)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 17, 2022 17:08:14 UTC 2022 年 5 月 18 日 (水) 2 時 8 分 14 秒 (日本時間)

9×10192-2

c162

name 名前Bob Backstrom
date 日付July 22, 2022 03:51:21 UTC 2022 年 7 月 22 日 (金) 12 時 51 分 21 秒 (日本時間)
composite number 合成数
398309327072313777361869131208548604472848514011639445690869652342529222722547409893647588978943178883385103441145935876212481760256189190216301384812468377557967<162>
prime factors 素因数
31917903243609543868185570081239647969256764354329860629098865853418636505681<77>
12479182107680003797928729323260888134896406879351654221172037054138571092440143922207<86>
factorization results 素因数分解の結果
Number: n
N=398309327072313777361869131208548604472848514011639445690869652342529222722547409893647588978943178883385103441145935876212481760256189190216301384812468377557967  ( 162 digits)
SNFS difficulty: 192 digits.
Divisors found:

Fri Jul 22 13:47:01 2022  p77 factor: 31917903243609543868185570081239647969256764354329860629098865853418636505681
Fri Jul 22 13:47:01 2022  p86 factor: 12479182107680003797928729323260888134896406879351654221172037054138571092440143922207
Fri Jul 22 13:47:01 2022  elapsed time 00:37:26 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 9x10^192-2 = 89(191)8
#
n: 398309327072313777361869131208548604472848514011639445690869652342529222722547409893647588978943178883385103441145935876212481760256189190216301384812468377557967
m: 100000000000000000000000000000000000000
deg: 5
c5: 450
c0: -1
skew: 0.29
# Murphy_E = 3.951e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 11300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2974665 hash collisions in 28544977 relations (27316666 unique)
Msieve: matrix is 1270100 x 1270325 (443.2 MB)

Sieving start time : 2022/07/22 10:14:34
Sieving end time  : 2022/07/22 13:09:04

Total sieving time: 2hrs 54min 30secs.

Total relation processing time: 0hrs 27min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 18:09:02 UTC 2022 年 6 月 25 日 (土) 3 時 9 分 2 秒 (日本時間)

9×10194-2

c125

name 名前Ignacio Santos
date 日付May 7, 2022 21:05:35 UTC 2022 年 5 月 8 日 (日) 6 時 5 分 35 秒 (日本時間)
composite number 合成数
83840992177251223500862175665990489527718592510146092023308902045795745025769230309730147312999246633899513404931038760348287<125>
prime factors 素因数
910924849539119399814162577576540592654113<42>
92039417104133678312288808283970964457968740861342045075969713626103143144987024799<83>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:9441514
Step 1 took 4797ms
Step 2 took 2906ms
********** Factor found in step 2: 910924849539119399814162577576540592654113
Found prime factor of 42 digits: 910924849539119399814162577576540592654113
Prime cofactor 92039417104133678312288808283970964457968740861342045075969713626103143144987024799 has 83 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10197-2

c191

name 名前ebina
date 日付June 23, 2022 10:45:51 UTC 2022 年 6 月 23 日 (木) 19 時 45 分 51 秒 (日本時間)
composite number 合成数
13628590796745892289733785467385404221428742110446644960460580951694186779110011226627383212744028625370966455767757425378695381037378651406117741151326996200136885565962515742158086141234419<191>
prime factors 素因数
57417901131224219495889820769468241279788021921398796548186416498097671643411681561<83>
237357871469366162740091735426265414736085137221381467214575285576034944049680765032897235016575468019635179<108>
factorization results 素因数分解の結果
Thu Jun 23 18:44:04 2022  Msieve v. 1.53 (SVN unknown)
Thu Jun 23 18:44:04 2022  random seeds: 25829f50 fa5a7e45
Thu Jun 23 18:44:04 2022  factoring 13628590796745892289733785467385404221428742110446644960460580951694186779110011226627383212744028625370966455767757425378695381037378651406117741151326996200136885565962515742158086141234419 (191 digits)
Thu Jun 23 18:44:04 2022  searching for 15-digit factors
Thu Jun 23 18:44:05 2022  commencing number field sieve (191-digit input)
Thu Jun 23 18:44:05 2022  R0: -1000000000000000000000000000000000000000
Thu Jun 23 18:44:05 2022  R1: 1
Thu Jun 23 18:44:05 2022  A0: -1
Thu Jun 23 18:44:05 2022  A1: 0
Thu Jun 23 18:44:05 2022  A2: 0
Thu Jun 23 18:44:05 2022  A3: 0
Thu Jun 23 18:44:05 2022  A4: 0
Thu Jun 23 18:44:05 2022  A5: 450
Thu Jun 23 18:44:05 2022  skew 0.29, size 1.477e-13, alpha -0.468, combined = 2.449e-11 rroots = 1
Thu Jun 23 18:44:05 2022  
Thu Jun 23 18:44:05 2022  commencing square root phase
Thu Jun 23 18:44:05 2022  reading relations for dependency 1
Thu Jun 23 18:44:05 2022  read 1184537 cycles
Thu Jun 23 18:44:06 2022  cycles contain 3892072 unique relations
Thu Jun 23 18:44:37 2022  read 3892072 relations
Thu Jun 23 18:44:51 2022  multiplying 3892072 relations
Thu Jun 23 18:46:10 2022  multiply complete, coefficients have about 122.54 million bits
Thu Jun 23 18:46:11 2022  initial square root is modulo 624134521
Thu Jun 23 18:47:50 2022  sqrtTime: 225
Thu Jun 23 18:47:50 2022  p83 factor: 57417901131224219495889820769468241279788021921398796548186416498097671643411681561
Thu Jun 23 18:47:50 2022  p108 factor: 237357871469366162740091735426265414736085137221381467214575285576034944049680765032897235016575468019635179
Thu Jun 23 18:47:50 2022  elapsed time 00:03:46

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10199-2

c197

name 名前Bob Backstrom
date 日付June 23, 2022 15:01:02 UTC 2022 年 6 月 24 日 (金) 0 時 1 分 2 秒 (日本時間)
composite number 合成数
15207840486650895572828658330517066576546130449476174383237580263602568435282189929030077728962487326799594457587022642784724569111186211557958769854680635349780331192970598175059141601892531260561<197>
prime factors 素因数
94398736497574702872337341904836904459<38>
161102161436679993934254450149854274728162341574129162866970439736308874466268065328357034971547659289913580792961893030493910279832921961794367046003452093779<159>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 15207840486650895572828658330517066576546130449476174383237580263602568435282189929030077728962487326799594457587022642784724569111186211557958769854680635349780331192970598175059141601892531260561 (197 digits)
Using B1=15060000, B2=46847553490, polynomial Dickson(12), sigma=1:2831816878
Step 1 took 47482ms
********** Factor found in step 1: 94398736497574702872337341904836904459
Found prime factor of 38 digits: 94398736497574702872337341904836904459
Prime cofactor 161102161436679993934254450149854274728162341574129162866970439736308874466268065328357034971547659289913580792961893030493910279832921961794367046003452093779 has 159 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10200-2

c128

name 名前Eric Jeancolas
date 日付May 12, 2022 06:23:12 UTC 2022 年 5 月 12 日 (木) 15 時 23 分 12 秒 (日本時間)
composite number 合成数
57970333248624105963111104551047370535395992754109169362914677639662935408810050079383221257335474586543367113678814769440512223<128>
prime factors 素因数
33954069412602778301796333727260641129782100575039589561<56>
1707316214271128815669731248697571353451563216263275044106699341287405143<73>
factorization results 素因数分解の結果
57970333248624105963111104551047370535395992754109169362914677639662935408810050079383221257335474586543367113678814769440512223=33954069412602778301796333727260641129782100575039589561*1707316214271128815669731248697571353451563216263275044106699341287405143

cado polynomial
n: 57970333248624105963111104551047370535395992754109169362914677639662935408810050079383221257335474586543367113678814769440512223
skew: 37955.036
c0: 984712709373479185634941164
c1: 667439480762117467822304
c2: 80802551370100822291
c3: -1072286170709536
c4: -28745085888
c5: 201960
Y0: -4973928969410673360381237
Y1: 5111455707024843593
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.827e-07
# f(x) = 201960*x^5-28745085888*x^4-1072286170709536*x^3+80802551370100822291*x^2+667439480762117467822304*x+984712709373479185634941164
# g(x) = 5111455707024843593*x-4973928969410673360381237

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: 1707316214271128815669731248697571353451563216263275044106699341287405143 33954069412602778301796333727260641129782100575039589561
Info:Square Root: Total cpu/real time for sqrt: 714.64/213.059
Info:Filtering - Singleton removal: Total cpu/real time for purge: 110.9/123.411
Info:Linear Algebra: Total cpu/real time for bwc: 47620.1/12211.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 30435.23, WCT time 7768.99, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53504 iterations)
Info:Linear Algebra: Lingen CPU time 335.43, WCT time 85.19
Info:Linear Algebra: Mksol: CPU time 16538.03,  WCT time 4238.38, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23110560
Info:Lattice Sieving: Average J: 7651.9 for 51436 special-q, max bucket fill -bkmult 1.0,1s:1.070830
Info:Lattice Sieving: Total time: 72535.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 40.52/10.7228
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4882.07
Info:Polynomial Selection (root optimized): Rootsieve time: 4879.61
Info:Generate Free Relations: Total cpu/real time for freerel: 250.45/63.8415
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.4/110.029
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.9s
Info:Filtering - Merging: Merged matrix has 1710014 rows and total weight 292266758 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 428.58/121.088
Info:Filtering - Merging: Total cpu/real time for replay: 68.54/57.3765
Info:Quadratic Characters: Total cpu/real time for characters: 67.16/27.0633
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): 38479/37.020/45.581/50.050/0.854
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30456/37.020/40.844/46.370/0.908
Info:Polynomial Selection (size optimized): Total time: 4836.33
Info:Square Root: Total cpu/real time for sqrt: 714.64/213.059
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 256.77/220.258
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 207.5s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 196120/52994.3
Info:root: Cleaning up computation data in /tmp/cado.zze064lj
1707316214271128815669731248697571353451563216263275044106699341287405143 33954069412602778301796333727260641129782100575039589561
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:25:54 UTC 2022 年 5 月 8 日 (日) 6 時 25 分 54 秒 (日本時間)

9×10203-2

c192

name 名前Bob Backstrom
date 日付July 21, 2023 16:48:45 UTC 2023 年 7 月 22 日 (土) 1 時 48 分 45 秒 (日本時間)
composite number 合成数
460501833153836426576114600636490088676017805107679940718751203531678383739679061343885730716969487974637651992298300484592939174757434737718368248552491066234552804945157960605438792925419459<192>
prime factors 素因数
28587524652146594170282711728658555539441628322780990378959<59>
16108489236379479168695377055223197435709023393673118805537148285185806783184705035817700559464677413440515612513199000544534024279501<134>
factorization results 素因数分解の結果
Number: n
N=460501833153836426576114600636490088676017805107679940718751203531678383739679061343885730716969487974637651992298300484592939174757434737718368248552491066234552804945157960605438792925419459  ( 192 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sat Jul 22 02:43:48 2023  prp59 factor: 28587524652146594170282711728658555539441628322780990378959
Sat Jul 22 02:43:48 2023  prp134 factor: 16108489236379479168695377055223197435709023393673118805537148285185806783184705035817700559464677413440515612513199000544534024279501
Sat Jul 22 02:43:48 2023  elapsed time 02:07:47 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.105).
Factorization parameters were as follows:
#
# N = 9x10^203-2 = 89(202)8
#
n: 460501833153836426576114600636490088676017805107679940718751203531678383739679061343885730716969487974637651992298300484592939174757434737718368248552491066234552804945157960605438792925419459
m: 10000000000000000000000000000000000000000
deg: 5
c5: 4500
c0: -1
skew: 0.19
# Murphy_E = 1.343e-11
type: snfs
lss: 1
rlim: 17400000
alim: 17400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17400000/17400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3041376 hash collisions in 18328099 relations (16136874 unique)
Msieve: matrix is 1971393 x 1971618 (560.3 MB)

Sieving start time: 2023/07/21 13:50:50
Sieving end time  : 2023/07/22 00:35:35

Total sieving time: 10hrs 44min 45secs.

Total relation processing time: 2hrs 0min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17400000,17400000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e620801000Dmitry DomanovJune 9, 2022 18:19:00 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 0 秒 (日本時間)
1080ebinaNovember 26, 2022 21:54:02 UTC 2022 年 11 月 27 日 (日) 6 時 54 分 2 秒 (日本時間)

9×10204-2

c138

name 名前Ignacio Santos
date 日付May 14, 2022 09:57:26 UTC 2022 年 5 月 14 日 (土) 18 時 57 分 26 秒 (日本時間)
composite number 合成数
185246506154891962022549020785671475060939629108961453436073630383696148662878685567905040170096113491207048785131626363411618362406271879<138>
prime factors 素因数
601553235764515771417620204310137672505031<42>
307946986469886799138885958867860819639686892339567496775717813883309971104456009507752790668609<96>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3789170599
Step 1 took 21375ms
Step 2 took 10422ms
********** Factor found in step 2: 601553235764515771417620204310137672505031
Found prime factor of 42 digits: 601553235764515771417620204310137672505031
Prime cofactor 307946986469886799138885958867860819639686892339567496775717813883309971104456009507752790668609 has 96 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 14:01:51 UTC 2022 年 5 月 7 日 (土) 23 時 1 分 51 秒 (日本時間)

9×10205-2

c176

name 名前Dmitry Domanov
date 日付May 23, 2022 10:02:23 UTC 2022 年 5 月 23 日 (月) 19 時 2 分 23 秒 (日本時間)
composite number 合成数
49717937514270204750492738447385565114803482173709375066828670029886343030352269380472338881077875984791833126782673104014584541038093197760995855130321980599840981944938125551<176>
prime factors 素因数
8487464566308154026068894591531946197779<40>
composite cofactor 合成数の残り
5857807962065676050451716702838013657380109904795081016856409521360437976593167900608140133982603258055627938909458988133545903348937269<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3820728062
Step 1 took 10060ms
Step 2 took 4731ms
********** Factor found in step 2: 8487464566308154026068894591531946197779
Found prime factor of 40 digits: 8487464566308154026068894591531946197779
Composite cofactor 5857807962065676050451716702838013657380109904795081016856409521360437976593167900608140133982603258055627938909458988133545903348937269 has 136 digits

c136

name 名前ebina
date 日付May 27, 2022 06:29:31 UTC 2022 年 5 月 27 日 (金) 15 時 29 分 31 秒 (日本時間)
composite number 合成数
5857807962065676050451716702838013657380109904795081016856409521360437976593167900608140133982603258055627938909458988133545903348937269<136>
prime factors 素因数
109702804291935849103373757425980266168471471489401<51>
53397066737484285568623444183103110922699063149969164468415799160409445791209799328669<86>
factorization results 素因数分解の結果
Number: 89998_205
N = 5857807962065676050451716702838013657380109904795081016856409521360437976593167900608140133982603258055627938909458988133545903348937269 (136 digits)
Divisors found:
r1=109702804291935849103373757425980266168471471489401 (pp51)
r2=53397066737484285568623444183103110922699063149969164468415799160409445791209799328669 (pp86)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 21.49 hours.
Factorization parameters were as follows:
n:  5857807962065676050451716702838013657380109904795081016856409521360437976593167900608140133982603258055627938909458988133545903348937269
# norm 4.658691e-13 alpha -8.192916 e 3.537e-11 rroots 5
skew: 7697437.33
c0: -2677987802087082311865352444834445405
c1: 2681704237714434336893922267573
c2: 481595092584911537809633
c3: -101487784626862749
c4: -8416285088
c5: 636
Y0: -391611906179664690038060364
Y1: 96868823784563
type: gnfs
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22588975
Relations: 3411450 relations
Pruned matrix : 1989595 x 1989843
Polynomial selection time: 0.35 hours.
Total sieving time: 19.23 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.58 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,135,5,65,2000,1e-05,0.28,250,20,50000,3600,9800000,9800000,28,28,55,55,2.5,2.5,100000
total time: 21.49 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 3.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e620781000Dmitry DomanovMay 22, 2022 08:23:45 UTC 2022 年 5 月 22 日 (日) 17 時 23 分 45 秒 (日本時間)
1078Taiyo KodamaMay 25, 2022 09:25:31 UTC 2022 年 5 月 25 日 (水) 18 時 25 分 31 秒 (日本時間)

9×10207-2

c201

composite cofactor 合成数の残り
328912289252191597402002227978755774512060446184869610763004150361449023821216728420558070597587581850736825655801767925482216479982142255442201010871720625702273419815825198175136145932973961329709061<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e64800ebinaMarch 24, 2023 11:32:58 UTC 2023 年 3 月 24 日 (金) 20 時 32 分 58 秒 (日本時間)

9×10208-2

c161

name 名前ebina
date 日付March 24, 2023 12:45:25 UTC 2023 年 3 月 24 日 (金) 21 時 45 分 25 秒 (日本時間)
composite number 合成数
18341043128141518403981489948518431221900735586621988325679104024328736851569469693011170194062351840603072532671912179230060868220322743683359788808130300510057<161>
prime factors 素因数
42971366358701951305554791841751282112201<41>
426820105626623869933957922850768378823825167992681391108847222214252689067796532822048276651705647385201242833425994657<120>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2847254085 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 18341043128141518403981489948518431221900735586621988325679104024328736851569469693011170194062351840603072532671912179230060868220322743683359788808130300510057 (161 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2847254085
Step 1 took 3422ms
Step 2 took 2812ms
********** Factor found in step 2: 42971366358701951305554791841751282112201
Found probable prime factor of 41 digits: 42971366358701951305554791841751282112201
Probable prime cofactor 426820105626623869933957922850768378823825167992681391108847222214252689067796532822048276651705647385201242833425994657 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633361000Dmitry DomanovMay 22, 2022 08:26:09 UTC 2022 年 5 月 22 日 (日) 17 時 26 分 9 秒 (日本時間)
2336ebinaMarch 24, 2023 12:44:26 UTC 2023 年 3 月 24 日 (金) 21 時 44 分 26 秒 (日本時間)

9×10210-2

c178

composite cofactor 合成数の残り
1136375579802852020598264399170752595385088075116702371163892655096436043789740648215568261299172060471918171065588272879075528907511488900138627730290512100843076094253387240159<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 22, 2022 08:26:28 UTC 2022 年 5 月 22 日 (日) 17 時 26 分 28 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 09:51:28 UTC 2023 年 10 月 3 日 (火) 18 時 51 分 28 秒 (日本時間)

9×10212-2

c197

composite cofactor 合成数の残り
10714896669604147469910561219700729381013810127808001329906260448234712677447264757174309332673914120657270468544246818038746727927753852611421400037277495964566142329646412790771062395478445924791<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:19:14 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 14 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 10:01:52 UTC 2023 年 10 月 3 日 (火) 19 時 1 分 52 秒 (日本時間)

9×10213-2

c197

composite cofactor 合成数の残り
22225094827174324454827715633344040118421611809130781931786713867408894871070252128911210752688753819361594136423778150833106511529050537046652981011664282743119377957312274173554348000310078214729<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:19:23 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 23 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 10:08:17 UTC 2023 年 10 月 3 日 (火) 19 時 8 分 17 秒 (日本時間)

9×10216-2

c208

composite cofactor 合成数の残り
3692508234512862064289556832866727615645216141539794593266808552471710075865954168920939524847662926487603807986588258677686264395098729009207670535319305288316996094595690160678913229083525142656588785450911<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosSeptember 27, 2022 12:59:53 UTC 2022 年 9 月 27 日 (火) 21 時 59 分 53 秒 (日本時間)

9×10218-2

c170

composite cofactor 合成数の残り
11677631476503283441921175287869985779368634193008134582338092989322978848493487785853355317203810402465398152297313660387985154443340076395542223166454148485978277828361<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 22, 2022 08:26:40 UTC 2022 年 5 月 22 日 (日) 17 時 26 分 40 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 10:21:23 UTC 2023 年 10 月 3 日 (火) 19 時 21 分 23 秒 (日本時間)

9×10220-2

c218

composite cofactor 合成数の残り
19590770570309098824553765781454070526774053112755768393556813234653896386591205920766216804527644754026991728341314758380496299521114497170222028733130169786678276012189812799303439268611232041793643883326077492381367<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:48:48 UTC 2023 年 7 月 4 日 (火) 17 時 48 分 48 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 10:30:39 UTC 2023 年 10 月 3 日 (火) 19 時 30 分 39 秒 (日本時間)

9×10221-2

c152

name 名前yoyo
date 日付December 2, 2022 00:39:29 UTC 2022 年 12 月 2 日 (金) 9 時 39 分 29 秒 (日本時間)
composite number 合成数
21271586725775517747147410935117717807397261888520330801598412457778667215851422485488441200184240630056370944439328688251847439635850104679424675680329<152>
prime factors 素因数
9996034666392677011399974994417658452921788001<46>
2128002496559159100313875879094615672179152688187823145297799433699310096729698445885935624630204143428329<106>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 21271586725775517747147410935117717807397261888520330801598412457778667215851422485488441200184240630056370944439328688251847439635850104679424675680329 (152 digits)
[Thu Dec 01 23:38:17 2022]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:10984414515691527895
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35  40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 167078ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 47ms
Computing roots of F took 3390ms
Building F from its roots took 3094ms
Computing 1/F took 1187ms
Initializing table of differences for G took 78ms
Computing roots of G took 2797ms
Building G from its roots took 2891ms
Computing roots of G took 2703ms
Building G from its roots took 2750ms
Computing G * H took 671ms
Reducing  G * H mod F took 735ms
Computing roots of G took 2672ms
Building G from its roots took 2859ms
Computing G * H took 672ms
Reducing  G * H mod F took 672ms
Computing roots of G took 2656ms
Building G from its roots took 2828ms
Computing G * H took 672ms
Reducing  G * H mod F took 687ms
Computing roots of G took 2813ms
Building G from its roots took 2828ms
Computing G * H took 641ms
Reducing  G * H mod F took 703ms
Computing polyeval(F,G) took 5750ms
Computing product of all F(g_i) took 32ms
Step 2 took 47297ms
********** Factor found in step 2: 9996034666392677011399974994417658452921788001
Found prime factor of 46 digits: 9996034666392677011399974994417658452921788001
Prime cofactor 2128002496559159100313875879094615672179152688187823145297799433699310096729698445885935624630204143428329 has 106 digits
Peak memory usage: 300MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:00:29 UTC 2022 年 5 月 8 日 (日) 1 時 0 分 29 秒 (日本時間)
4511e64480Ignacio SantosMay 11, 2022 20:45:45 UTC 2022 年 5 月 12 日 (木) 5 時 45 分 45 秒 (日本時間)

9×10222-2

c161

name 名前Florian Piesker
date 日付May 10, 2022 05:07:22 UTC 2022 年 5 月 10 日 (火) 14 時 7 分 22 秒 (日本時間)
composite number 合成数
56979098511463864275800151124981576115472418407735719737735551842570340518367321684663722128493514091857458189102963863582684992846715079059105554888926746382639<161>
prime factors 素因数
893733672867364292871176887415548021599833<42>
63754002161133657358275042511803462688059986526825168456117604830708890110740558748989246544123152093649943288058960583<119>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), 64 threads

Resume line 556 out of 1024:

Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=0:10484155621507519995
Step 1 took 0ms
Step 2 took 19481ms
********** Factor found in step 2: 893733672867364292871176887415548021599833
Found prime factor of 42 digits: 893733672867364292871176887415548021599833
software ソフトウェア
Step 1 done with AVX-ECM
execution environment 実行環境
Ubuntu 20.04, dual Xeon Platinum 8375C

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

9×10224-2

c193

composite cofactor 合成数の残り
8206983737866830231323699483905386547842356871062229667677361208624748282650882162583405920371004412597894250086795693072260314941581975341301503471483747078246565740318034443547639021922211577<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:19:32 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 32 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 10:41:42 UTC 2023 年 10 月 3 日 (火) 19 時 41 分 42 秒 (日本時間)

9×10225-2

c207

composite cofactor 合成数の残り
222757190236337146214183801640444929246486854996487761942826937511903790949443110081319138583494252774014871738365698673414134984516506159489992293631189015359637977295808626641361455272214235188819896671849<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:48:59 UTC 2023 年 7 月 4 日 (火) 17 時 48 分 59 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:03:02 UTC 2023 年 10 月 3 日 (火) 20 時 3 分 2 秒 (日本時間)

9×10227-2

c197

composite cofactor 合成数の残り
13964112903220048383678379035745321588143465756623629431765386294488145825329019627035569774211763270519717788649078272275610335714400567321391753273425342638939549907155697258712708511466364582711<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:19:42 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 42 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:09:50 UTC 2023 年 10 月 3 日 (火) 20 時 9 分 50 秒 (日本時間)

9×10233-2

c202

composite cofactor 合成数の残り
2801391971304123509318229339936473863158312013343659419065298121363570594037061538952501639281536972837105519094569660753955392912330120463092756841936131508929884182011851701641263318256086285672525389<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:49:11 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 11 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:21:43 UTC 2023 年 10 月 3 日 (火) 20 時 21 分 43 秒 (日本時間)

9×10236-2

c228

composite cofactor 合成数の残り
422705893556912838295554061416511740807897991719509044313460245655304597456665621947485163373042697581487008863764031277121250449250649489249306449297368823298076709131741438406102549000233915108683664173510045726266396304853871<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:49:18 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 18 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:54:47 UTC 2023 年 10 月 3 日 (火) 20 時 54 分 47 秒 (日本時間)

9×10237-2

c209

name 名前Dmitry Domanov
date 日付July 7, 2023 06:07:09 UTC 2023 年 7 月 7 日 (金) 15 時 7 分 9 秒 (日本時間)
composite number 合成数
11453082648996675146034166052716571366116230091856241017322502094591171802163688283412539328709380397273196622707530459310722437000914109699960698820335083472155519141437446269596148016066009240384097540452701<209>
prime factors 素因数
60263993528509446104611780384210620973999<41>
190048517836417481518470415002644994794750107087025090046994625398298534904431166549879245487824704766992813765574263457967738613139602882067978900412774642059032773299<168>
factorization results 素因数分解の結果
Resuming ECM residue saved by @368ab228eec7 with GMP-ECM 7.0.5-dev on Tue Jul  4 22:35:43 2023 
Input number is 11453082648996675146034166052716571366116230091856241017322502094591171802163688283412539328709380397273196622707530459310722437000914109699960698820335083472155519141437446269596148016066009240384097540452701 (209 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1247639886
Step 1 took 0ms
Step 2 took 5045ms
********** Factor found in step 2: 60263993528509446104611780384210620973999
Found prime factor of 41 digits: 60263993528509446104611780384210620973999
Prime cofactor 190048517836417481518470415002644994794750107087025090046994625398298534904431166549879245487824704766992813765574263457967738613139602882067978900412774642059032773299 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 4, 2023 08:49:26 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 26 秒 (日本時間)

9×10238-2

c220

composite cofactor 合成数の残り
4781484684181756833962571189748072500040596347337012724253764432519208611035876693122845709899430056829186895593894268002791672390473497214377373243065943649615807927533682568514973512666068319833935896365880535596673279<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:49:33 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 33 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:54:59 UTC 2023 年 10 月 3 日 (火) 20 時 54 分 59 秒 (日本時間)

9×10239-2

c206

composite cofactor 合成数の残り
96488032788353813672081150887178529361750620195771693250721112898454007059892217392209161246944394353794306732965149269935951186469028352230410656694633759494688117930916910508892289856573377251786042065449<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:49:41 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 41 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 11:55:25 UTC 2023 年 10 月 3 日 (火) 20 時 55 分 25 秒 (日本時間)

9×10241-2

c230

name 名前Dmitry Domanov
date 日付July 6, 2023 18:00:05 UTC 2023 年 7 月 7 日 (金) 3 時 0 分 5 秒 (日本時間)
composite number 合成数
31800559826738248363633811781360003856853474822956954061310868115164383289083541308965214128600701154141173664649485595939101612670939639602298872863993889209692693401931341455600398320365982341982454109040179603163741849144183969<230>
prime factors 素因数
18946474892793090400122749330497629689835751<44>
1678442032445551565906497002417309697105574324713699721351915276430362106173095722159491826934875600507325469017618322562203610080508179048511095614519255427511735220613936457499040529719<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @368ab228eec7 with GMP-ECM 7.0.5-dev on Tue Jul  4 23:14:15 2023 
Input number is 31800559826738248363633811781360003856853474822956954061310868115164383289083541308965214128600701154141173664649485595939101612670939639602298872863993889209692693401931341455600398320365982341982454109040179603163741849144183969 (230 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:490398747
Step 1 took 0ms
Step 2 took 6371ms
********** Factor found in step 2: 18946474892793090400122749330497629689835751
Found prime factor of 44 digits: 18946474892793090400122749330497629689835751
Prime cofactor 1678442032445551565906497002417309697105574324713699721351915276430362106173095722159491826934875600507325469017618322562203610080508179048511095614519255427511735220613936457499040529719 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 4, 2023 08:49:49 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 49 秒 (日本時間)

9×10242-2

c226

composite cofactor 合成数の残り
2552981259036299078213435087502111349163918302628227221211974485988189372744226522667601079532867032557396946756519792081257032491369412847432988688977471642782228781552569596528473018656538981140480428725216601842519206321863<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e617920Dmitry DomanovJuly 4, 2023 08:49:56 UTC 2023 年 7 月 4 日 (火) 17 時 49 分 56 秒 (日本時間)

9×10245-2

c174

composite cofactor 合成数の残り
669743071299788021802346357037220599364751274239394324066549417295813979572113668726744420868675538631969672595976936768724060031319568214200707927827003326924086840111039421<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 22, 2022 08:26:57 UTC 2022 年 5 月 22 日 (日) 17 時 26 分 57 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 12:08:58 UTC 2023 年 10 月 3 日 (火) 21 時 8 分 58 秒 (日本時間)

9×10246-2

c208

composite cofactor 合成数の残り
4977555336538605085791390193701753338471032980609337071506332133814467410254265004710009853515743676569871044892919604373467262163877552604404166690974127677846725359834984231470523952840038039966522879629169<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:50:16 UTC 2023 年 7 月 4 日 (火) 17 時 50 分 16 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 12:32:54 UTC 2023 年 10 月 3 日 (火) 21 時 32 分 54 秒 (日本時間)

9×10247-2

c235

composite cofactor 合成数の残り
1144373707963376715037041737283765508348424551067980546402229603042802228949109021270084072998967317864078102290541261489873059197515592811545125476465960014667715098241870493425653042028355359929450972104929836347744144302052910144541<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:54:31 UTC 2023 年 7 月 4 日 (火) 17 時 54 分 31 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:26:27 UTC 2023 年 10 月 3 日 (火) 22 時 26 分 27 秒 (日本時間)

9×10248-2

c168

name 名前Ignacio Santos
date 日付May 12, 2022 22:08:54 UTC 2022 年 5 月 13 日 (金) 7 時 8 分 54 秒 (日本時間)
composite number 合成数
122909186909432088638868856488304044461319545477936294369761174327673988696968587416635025761527646470144759264058486939182631314557320742304896713378873294099264296879<168>
prime factors 素因数
150111601563286041341757413814801080697225568121897<51>
composite cofactor 合成数の残り
818785394529378878891352246019171204471609238370255959556535687956044709996129597036024586012040440887536976336758807<117>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2182771171
Step 1 took 26219ms
Step 2 took 11922ms
********** Factor found in step 2: 150111601563286041341757413814801080697225568121897
Found prime factor of 51 digits: 150111601563286041341757413814801080697225568121897
Composite cofactor 818785394529378878891352246019171204471609238370255959556535687956044709996129597036024586012040440887536976336758807 has 117 digits
 
software ソフトウェア
GMP-ECM

c117

name 名前Eric Jeancolas
date 日付May 13, 2022 20:48:30 UTC 2022 年 5 月 14 日 (土) 5 時 48 分 30 秒 (日本時間)
composite number 合成数
818785394529378878891352246019171204471609238370255959556535687956044709996129597036024586012040440887536976336758807<117>
prime factors 素因数
24747612133523983269320377427782018223314980817<47>
33085430227032832371816466164810955299409324895676059557779541731482471<71>
factorization results 素因数分解の結果
818785394529378878891352246019171204471609238370255959556535687956044709996129597036024586012040440887536976336758807=24747612133523983269320377427782018223314980817*33085430227032832371816466164810955299409324895676059557779541731482471

cado polynomial
n: 818785394529378878891352246019171204471609238370255959556535687956044709996129597036024586012040440887536976336758807
skew: 27214.899
c0: 696580255478943252150568380
c1: -2837097065834852408776
c2: -4639041528522814461
c3: 91931330128719
c4: 2762853734
c5: 35640
Y0: -33025939695342922216969
Y1: 68018866473096619
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 8.587e-07
# f(x) = 35640*x^5+2762853734*x^4+91931330128719*x^3-4639041528522814461*x^2-2837097065834852408776*x+696580255478943252150568380
# g(x) = 68018866473096619*x-33025939695342922216969

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

cado log (extracts)
Info:Square Root: Factors: 33085430227032832371816466164810955299409324895676059557779541731482471 24747612133523983269320377427782018223314980817
Info:Square Root: Total cpu/real time for sqrt: 274.11/80.5725
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111.31/128.85
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7811233
Info:Lattice Sieving: Average J: 1898.43 for 217887 special-q, max bucket fill -bkmult 1.0,1s:1.262510
Info:Lattice Sieving: Total time: 23722.6s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.07/1.08794
Info:Linear Algebra: Total cpu/real time for bwc: 2980.01/780.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1865.04, WCT time 487.62, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 74.24, WCT time 18.92
Info:Linear Algebra: Mksol: CPU time 1001.34,  WCT time 258.02, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.26/16.991
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 31.39/33.9392
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 365.24
Info:Polynomial Selection (root optimized): Rootsieve time: 364.12
Info:Filtering - Merging: Merged matrix has 469515 rows and total weight 73237059 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.45/23.5044
Info:Filtering - Merging: Total cpu/real time for replay: 15.91/13.0264
Info:Quadratic Characters: Total cpu/real time for characters: 16.8/6.60698
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21495/34.140/41.805/47.150/1.085
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17139/32.860/36.985/42.210/0.842
Info:Polynomial Selection (size optimized): Total time: 1790.46
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 139.52/151.424
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 110.69999999999999s
Info:Square Root: Total cpu/real time for sqrt: 274.11/80.5725
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49501.1/13524.1
Info:root: Cleaning up computation data in /tmp/cado.jklhxv5z
33085430227032832371816466164810955299409324895676059557779541731482471 24747612133523983269320377427782018223314980817
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:02:59 UTC 2022 年 5 月 8 日 (日) 1 時 2 分 59 秒 (日本時間)

9×10249-2

c249

name 名前Dmitry Domanov
date 日付July 6, 2023 18:01:37 UTC 2023 年 7 月 7 日 (金) 3 時 1 分 37 秒 (日本時間)
composite number 合成数
409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<249>
prime factors 素因数
4994377521481262624164217669867311369<37>
composite cofactor 合成数の残り
81910289586915015669365374690654930188163436162108270605010674666972657618802184843977654941920985821303292585477297444879910089484662146953453823886627814339286118818834414633111285397062370237950385459713204661<212>
factorization results 素因数分解の結果
Resuming ECM residue saved by @368ab228eec7 with GMP-ECM 7.0.5-dev on Tue Jul  4 23:21:39 2023 
Input number is 409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 (249 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2950593499
Step 1 took 0ms
Step 2 took 6290ms
********** Factor found in step 2: 4994377521481262624164217669867311369
Found prime factor of 37 digits: 4994377521481262624164217669867311369
Composite cofactor 81910289586915015669365374690654930188163436162108270605010674666972657618802184843977654941920985821303292585477297444879910089484662146953453823886627814339286118818834414633111285397062370237950385459713204661 has 212 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:54:23 UTC 2023 年 7 月 4 日 (火) 17 時 54 分 23 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:26:50 UTC 2023 年 10 月 3 日 (火) 22 時 26 分 50 秒 (日本時間)

9×10250-2

c205

composite cofactor 合成数の残り
1731651713352821360357182883511780837097412182534027979427430496914751692606623741746001893028012117542627231230659728232891178432750204584540851885388626093328324132608473304476596564847881801852214087297<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:50:25 UTC 2023 年 7 月 4 日 (火) 17 時 50 分 25 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:27:11 UTC 2023 年 10 月 3 日 (火) 22 時 27 分 11 秒 (日本時間)

9×10253-2

c197

composite cofactor 合成数の残り
39760463206340818519552812961372307730441849689031887381426726654795125740669258254926232803705942271995788381532429085719274360463386013193746006811305169076132150705775362977071770956192898835889<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:19:52 UTC 2022 年 6 月 10 日 (金) 3 時 19 分 52 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:27:37 UTC 2023 年 10 月 3 日 (火) 22 時 27 分 37 秒 (日本時間)

9×10254-2

c252

composite cofactor 合成数の残り
101374183374633926560036044154088758729443568371254787114214913268754223924307276413606668168506420364947060148682135616129758954719531425996846136517233611173687767515206127506195088984005406623113313809416535255688218067132236990313133588646091462041<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:54:15 UTC 2023 年 7 月 4 日 (火) 17 時 54 分 15 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:28:00 UTC 2023 年 10 月 3 日 (火) 22 時 28 分 0 秒 (日本時間)

9×10255-2

c255

composite cofactor 合成数の残り
409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:55:49 UTC 2023 年 7 月 4 日 (火) 17 時 55 分 49 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:39:13 UTC 2023 年 10 月 3 日 (火) 22 時 39 分 13 秒 (日本時間)

9×10258-2

c177

name 名前Ignacio Santos
date 日付May 13, 2022 14:08:50 UTC 2022 年 5 月 13 日 (金) 23 時 8 分 50 秒 (日本時間)
composite number 合成数
153599318661293975460117104127078167122935209908884702889574834145562934394246453071767755784069409010711619820688819601940111256733556802788135639238599940739082343829522672513<177>
prime factors 素因数
3338165212347979399254133871971391950004639<43>
46013096683509014328068330995638091588981461484830233882628852258643371554707726937997846688084364603882162571950640745149492236230367<134>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:950574276
Step 1 took 31266ms
Step 2 took 13375ms
********** Factor found in step 2: 3338165212347979399254133871971391950004639
Found prime factor of 43 digits: 3338165212347979399254133871971391950004639
Prime cofactor 46013096683509014328068330995638091588981461484830233882628852258643371554707726937997846688084364603882162571950640745149492236230367 has 134 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 16:15:16 UTC 2022 年 5 月 8 日 (日) 1 時 15 分 16 秒 (日本時間)

9×10259-2

c235

composite cofactor 合成数の残り
5503230733015028712455495704752428446544647061129215038015522327597954512855147479221852056283663613097368797479209679072586361772735484661046436815978183074578688000245059400528242805094584125630428482300060284764964028620538408481519<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:54:07 UTC 2023 年 7 月 4 日 (火) 17 時 54 分 7 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 13:56:41 UTC 2023 年 10 月 3 日 (火) 22 時 56 分 41 秒 (日本時間)

9×10261-2

c215

composite cofactor 合成数の残り
75553329895874453676027890702925793607241755039429373680061189207444802784613318281969607083203039678997574080801718444309203693586464099219444161485505373841464692436644458687461372820073602981494577145784850862141<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:51:09 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 9 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 14:12:19 UTC 2023 年 10 月 3 日 (火) 23 時 12 分 19 秒 (日本時間)

9×10264-2

c225

composite cofactor 合成数の残り
899438021638115608968992128171846950105180037907900962617845979886242833930035056211767379376786481260915830787739560068353386056595763923422065244512808265728068301228003327350472996396973113693969035706279796903609757664729<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:51:17 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 17 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 14:19:11 UTC 2023 年 10 月 3 日 (火) 23 時 19 分 11 秒 (日本時間)

9×10266-2

c203

name 名前Dmitry Domanov
date 日付July 7, 2023 21:56:45 UTC 2023 年 7 月 8 日 (土) 6 時 56 分 45 秒 (日本時間)
composite number 合成数
21926350580778962749102422084737495542754810894554980577708319287054111416444646580145459021618599109583925126261580220350817113856192289631003039638643509451555852547896301000088983267559996512039910201<203>
prime factors 素因数
60001292999693311164190537646908627873<38>
365431301303640847364198844156917115603233286045182128626835812024766255369626384862961816451996363334604744481615477471837665689424373012654260618920513849688029337<165>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8644f516cc24 with GMP-ECM 7.0.5-dev on Fri Jul  7 06:16:20 2023 
Input number is 21926350580778962749102422084737495542754810894554980577708319287054111416444646580145459021618599109583925126261580220350817113856192289631003039638643509451555852547896301000088983267559996512039910201 (203 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4034415814
Step 1 took 0ms
Step 2 took 4902ms
********** Factor found in step 2: 60001292999693311164190537646908627873
Found prime factor of 38 digits: 60001292999693311164190537646908627873
Prime cofactor 365431301303640847364198844156917115603233286045182128626835812024766255369626384862961816451996363334604744481615477471837665689424373012654260618920513849688029337 has 165 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 4, 2023 08:51:24 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 24 秒 (日本時間)

9×10267-2

c259

composite cofactor 合成数の残り
1383778931126219550471609710476027151032925673095495193822269394132127693942629716795413422542900067407223555235771146383251340808213348135200400889735534996667240708393347915265652640825591243710641346912428145983630438301130682474304442205679421173046872431<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:53:59 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 59 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 14:37:27 UTC 2023 年 10 月 3 日 (火) 23 時 37 分 27 秒 (日本時間)

9×10268-2

c219

composite cofactor 合成数の残り
287337899617386211352694751054148573607753500767792629562523853152878764190715593654717739618038445379649468735831948660666134627783749485819198995776919664560815460183608090204300711127259559909898710213887404945254081<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:51:32 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 32 秒 (日本時間)
2350Ignacio SantosOctober 3, 2023 14:49:41 UTC 2023 年 10 月 3 日 (火) 23 時 49 分 41 秒 (日本時間)

9×10271-2

c271

name 名前Dmitry Domanov
date 日付May 26, 2022 19:51:33 UTC 2022 年 5 月 27 日 (金) 4 時 51 分 33 秒 (日本時間)
composite number 合成数
4090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<271>
prime factors 素因数
27708901614576541839060636198225424801<38>
composite cofactor 合成数の残り
147638803869332290942226291901041042582722542288028204174216949104229382338951712158919839567302033239243477991532616061364616036882144522306288665033835986986181973030965158336238349081867541776917979497814677614877460167512469307709<234>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fef776eb0e66 with GMP-ECM 7.0.5-dev on Tue May 24 22:47:17 2022 
Input number is 4090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 (271 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2927057456
Step 1 took 0ms
Step 2 took 14864ms
********** Factor found in step 2: 27708901614576541839060636198225424801
Found prime factor of 38 digits: 27708901614576541839060636198225424801
Composite cofactor 147638803869332290942226291901041042582722542288028204174216949104229382338951712158919839567302033239243477991532616061364616036882144522306288665033835986986181973030965158336238349081867541776917979497814677614877460167512469307709 has 234 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:32:54 UTC 2022 年 5 月 25 日 (水) 6 時 32 分 54 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 06:25:47 UTC 2023 年 10 月 4 日 (水) 15 時 25 分 47 秒 (日本時間)

9×10272-2

c218

composite cofactor 合成数の残り
22522787468998746815491703966621519489559873602500945952133393195002427349828988901969454803996581645570339498472716523964251254076029930454306918519813858518881623482719175992198394501595606389351399316095664061966513<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:51:39 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 39 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 06:59:17 UTC 2023 年 10 月 4 日 (水) 15 時 59 分 17 秒 (日本時間)

9×10273-2

c251

composite cofactor 合成数の残り
24019253807315085851075588736384753491639645153408672077086860636057736555890394803504170616567211964507803185283348919006555986036339875458200627301618829140059776531910963424106332611661879913089191577235535752483854415495998060755822809224992841831<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:53:50 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 50 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 06:59:28 UTC 2023 年 10 月 4 日 (水) 15 時 59 分 28 秒 (日本時間)

9×10274-2

c239

name 名前Ignacio Santos
date 日付October 4, 2023 07:00:22 UTC 2023 年 10 月 4 日 (水) 16 時 0 分 22 秒 (日本時間)
composite number 合成数
55091434142783388905028416888345060496408206756878322530383605759850389641527050880369355181514989982632450016715243565390106164713717405566865105768949434415987876294816229029473855814543154302050078268122585420117105252112239371451418351<239>
prime factors 素因数
7918006490758233899708499127592025313293569<43>
6957740462461757115965236169470461581109808221633744833887119858810552409747203344539099508407372795196037389392438716562018619553465067359320401883242579070097717474143518723718559480820999965679<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1549956326
Step 1 took 11578ms
********** Factor found in step 1: 7918006490758233899708499127592025313293569
Found prime factor of 43 digits: 7918006490758233899708499127592025313293569
Prime cofactor 6957740462461757115965236169470461581109808221633744833887119858810552409747203344539099508407372795196037389392438716562018619553465067359320401883242579070097717474143518723718559480820999965679 has 196 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 4, 2023 08:53:42 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 42 秒 (日本時間)

9×10275-2

c191

composite cofactor 合成数の残り
35685207496497054757304754709607517544965060279221465663257366371321613996571532536404858195408756711871884576091936283013771002450485735979874590264689726870308338458881797618838461395906111<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 9, 2022 18:20:02 UTC 2022 年 6 月 10 日 (金) 3 時 20 分 2 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 07:01:01 UTC 2023 年 10 月 4 日 (水) 16 時 1 分 1 秒 (日本時間)

9×10277-2

c262

composite cofactor 合成数の残り
5017137324537049626565589098846849175533063661247898403421516853937936398008340587199601215013052303852010842338646108638290537615518551579951150534009560807622834403248822475832651830061085219288750985914273868587069466469960123739243401184452587249332296162051<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 17, 2023 21:21:00 UTC 2023 年 2 月 18 日 (土) 6 時 21 分 0 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 07:24:30 UTC 2023 年 10 月 4 日 (水) 16 時 24 分 30 秒 (日本時間)

9×10278-2

c260

composite cofactor 合成数の残り
51787756853357996578821314252453147519632491718400668722322995891579567794941755676287968071336689164058817025697469813188038381206443731419275655281991438682757180847989114614732942866853030467158919342174209653661165819028233411189968094093845834469113762833<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 17, 2023 21:21:10 UTC 2023 年 2 月 18 日 (土) 6 時 21 分 10 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 07:31:56 UTC 2023 年 10 月 4 日 (水) 16 時 31 分 56 秒 (日本時間)

9×10279-2

c279

name 名前Dmitry Domanov
date 日付May 26, 2022 19:51:10 UTC 2022 年 5 月 27 日 (金) 4 時 51 分 10 秒 (日本時間)
composite number 合成数
409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<279>
prime factors 素因数
9931439540913580780411893307095091<34>
composite cofactor 合成数の残り
41191501736039096564519029762600774964481846153945126511225885677558425233863856937840414011497583109381429147620460607920438401167964882832298010929213343309222416644697211465470158514152971741461729091123765671953718335442837455805384262045999<245>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fef776eb0e66 with GMP-ECM 7.0.5-dev on Tue May 24 22:51:44 2022 
Input number is 409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909 (279 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3024640618
Step 1 took 0ms
Step 2 took 14052ms
********** Factor found in step 2: 9931439540913580780411893307095091
Found prime factor of 34 digits: 9931439540913580780411893307095091
Composite cofactor 41191501736039096564519029762600774964481846153945126511225885677558425233863856937840414011497583109381429147620460607920438401167964882832298010929213343309222416644697211465470158514152971741461729091123765671953718335442837455805384262045999 has 245 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:04 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 4 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 07:50:18 UTC 2023 年 10 月 4 日 (水) 16 時 50 分 18 秒 (日本時間)

9×10280-2

c232

name 名前Dmitry Domanov
date 日付July 6, 2023 18:00:34 UTC 2023 年 7 月 7 日 (金) 3 時 0 分 34 秒 (日本時間)
composite number 合成数
8766531434594289914345633845951220328372991845826157528481201996530833983020820833842376945495125022897247142938287671371581755977430090720260288975074570807846470129332601837811555029040836731259618554218350187147752890384382920937<232>
prime factors 素因数
20245238929745640388286296409332992541129<41>
composite cofactor 合成数の残り
433016941169013505703626672498239088721649834999768692073461991979034227960687230071570894974009356261609872163986994499857471791318913153082273650828480806085995808232589772588326827147025953<192>
factorization results 素因数分解の結果
Resuming ECM residue saved by @368ab228eec7 with GMP-ECM 7.0.5-dev on Tue Jul  4 23:31:59 2023 
Input number is 8766531434594289914345633845951220328372991845826157528481201996530833983020820833842376945495125022897247142938287671371581755977430090720260288975074570807846470129332601837811555029040836731259618554218350187147752890384382920937 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3486592248
Step 1 took 0ms
Step 2 took 6057ms
********** Factor found in step 2: 20245238929745640388286296409332992541129
Found prime factor of 41 digits: 20245238929745640388286296409332992541129
Composite cofactor 433016941169013505703626672498239088721649834999768692073461991979034227960687230071570894974009356261609872163986994499857471791318913153082273650828480806085995808232589772588326827147025953 has 192 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:53:35 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 35 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 08:09:45 UTC 2023 年 10 月 4 日 (水) 17 時 9 分 45 秒 (日本時間)
4511e64480Ignacio SantosJune 4, 2024 08:11:32 UTC 2024 年 6 月 4 日 (火) 17 時 11 分 32 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovJune 5, 2024 05:06:34 UTC 2024 年 6 月 5 日 (水) 14 時 6 分 34 秒 (日本時間)

9×10281-2

c230

composite cofactor 合成数の残り
24649331570329654532923337125760257294715750622355728217683914091076874675729159636024687446145696629768211217602892922831129861664570475308398068941988134206513364651461886844705897870403964079703450904596298450501083001104621289<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:51:51 UTC 2023 年 7 月 4 日 (火) 17 時 51 分 51 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 08:09:55 UTC 2023 年 10 月 4 日 (水) 17 時 9 分 55 秒 (日本時間)

9×10283-2

c250

name 名前Dmitry Domanov
date 日付July 6, 2023 17:59:16 UTC 2023 年 7 月 7 日 (金) 2 時 59 分 16 秒 (日本時間)
composite number 合成数
2214880517625909003573410437732030427151295560653561286836260371043546963022847509598046236471079934839724382541497210599121332261453421006184780328568894245786615058887811834809798424608357272312148727090872666740564297600120850466467932297289807359<250>
prime factors 素因数
1587192250266307257579284507584792694909<40>
1395470849390982717210383975815745412295207666987072646593796590769283463689220116667593693812394113417596046426859211735391123368201402823759329580286162561582839933794727661803934240123113493476184955685963051<211>
factorization results 素因数分解の結果
Resuming ECM residue saved by @368ab228eec7 with GMP-ECM 7.0.5-dev on Tue Jul  4 22:20:55 2023 
Input number is 2214880517625909003573410437732030427151295560653561286836260371043546963022847509598046236471079934839724382541497210599121332261453421006184780328568894245786615058887811834809798424608357272312148727090872666740564297600120850466467932297289807359 (250 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3806726358
Step 1 took 0ms
Step 2 took 7498ms
********** Factor found in step 2: 1587192250266307257579284507584792694909
Found prime factor of 40 digits: 1587192250266307257579284507584792694909
Prime cofactor 1395470849390982717210383975815745412295207666987072646593796590769283463689220116667593693812394113417596046426859211735391123368201402823759329580286162561582839933794727661803934240123113493476184955685963051 has 211 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 4, 2023 08:53:28 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 28 秒 (日本時間)

9×10285-2

c285

composite cofactor 合成数の残り
409090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:13 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 13 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 09:13:04 UTC 2023 年 10 月 4 日 (水) 18 時 13 分 4 秒 (日本時間)

9×10286-2

c287

name 名前Ignacio Santos
date 日付October 4, 2023 09:13:38 UTC 2023 年 10 月 4 日 (水) 18 時 13 分 38 秒 (日本時間)
composite number 合成数
44999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<287>
prime factors 素因数
967865833459755607229798665146240949380103<42>
composite cofactor 合成数の残り
46494047464349432175334311967152966670024316661411984779228828629164645563652904314689686113069653236379046018777085628777901323991248568964036562959411790075146288936666137200833486085664827439405183143970389516862628494918856493516489264412233<245>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2150505451
Step 1 took 11687ms
********** Factor found in step 2: 967865833459755607229798665146240949380103
Found prime factor of 42 digits: 967865833459755607229798665146240949380103
Composite cofactor 46494047464349432175334311967152966670024316661411984779228828629164645563652904314689686113069653236379046018777085628777901323991248568964036562959411790075146288936666137200833486085664827439405183143970389516862628494918856493516489264412233 has 245 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:22 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 22 秒 (日本時間)
2350Ignacio SantosOctober 5, 2023 15:11:23 UTC 2023 年 10 月 6 日 (金) 0 時 11 分 23 秒 (日本時間)

9×10288-2

c269

name 名前Dmitry Domanov
date 日付February 17, 2023 21:46:12 UTC 2023 年 2 月 18 日 (土) 6 時 46 分 12 秒 (日本時間)
composite number 合成数
14006533013934156040854800362448431508819633656205051127184488027625057893197061819992123972893543904454857121416603806292215687672480288081942174114494935072158084992110687035406847412485393786629848568264102854974490671043788025569106398165211454689995427385093541239<269>
prime factors 素因数
67108270148204949912330967931238399199<38>
208715453147600031429587990268128971875861802782283265254182853287685658656247149011087343392481950549382966840123686489515354607031565436740568301527672635653221677459962957183428610408117148895591439918352046760981875795096889961<231>
factorization results 素因数分解の結果
GPU: factor 67108270148204949912330967931238399199 found in Step 1 with curve 1308 (-sigma 3:1087772372)
Computing 1792 Step 1 took 339ms of CPU time / 265861ms of GPU time
Throughput: 6.740 curves per second (on average 148.36ms per Step 1)
********** Factor found in step 1: 67108270148204949912330967931238399199
Found prime factor of 38 digits: 67108270148204949912330967931238399199
Prime cofactor 208715453147600031429587990268128971875861802782283265254182853287685658656247149011087343392481950549382966840123686489515354607031565436740568301527672635653221677459962957183428610408117148895591439918352046760981875795096889961 has 231 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 17, 2023 21:20:10 UTC 2023 年 2 月 18 日 (土) 6 時 20 分 10 秒 (日本時間)

9×10289-2

c272

composite cofactor 合成数の残り
46800245243299870105037338602689425471542962954627987046406949393950556365624748426861404689316943195181054964798900744883986688763848280684753616568922905420697713235150043132643280394757497004021249196815811272791400662878578839038159683553360132082980669281823964729639<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:32 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 32 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 09:14:08 UTC 2023 年 10 月 4 日 (水) 18 時 14 分 8 秒 (日本時間)

9×10291-2

c285

composite cofactor 合成数の残り
480113639697758861537466841484933873948404427672000444691922280057541086258176735378752581544367674866189661318236284406943894240140679697946639316548631617446305424185201809366931756967329120353926972154795892489112889760253653638125119961727474481693320264284421027227671274939636379<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:41 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 41 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 09:27:35 UTC 2023 年 10 月 4 日 (水) 18 時 27 分 35 秒 (日本時間)

9×10293-2

c263

composite cofactor 合成数の残り
28476992353924241814179113410861724766908364473453458134633350094226699897445501214891005564184970090944995296468041053902083836880459277560582987569833733328105395042388656773724070279242694003364963737459222161308938727142011755925303949914878034217525310343541<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 17, 2023 21:21:19 UTC 2023 年 2 月 18 日 (土) 6 時 21 分 19 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 09:49:36 UTC 2023 年 10 月 4 日 (水) 18 時 49 分 36 秒 (日本時間)

9×10294-2

c284

name 名前Dmitry Domanov
date 日付May 26, 2022 19:50:34 UTC 2022 年 5 月 27 日 (金) 4 時 50 分 34 秒 (日本時間)
composite number 合成数
25601599125710068691472483955212865589659477237720171432762879142033522675512180268825341867848593426559894190364947367255304326612430748913980160820445698489392448707789582484500710632664121535503428001124777765852867077732286494972355537230384018069900953538762589216633195663836759<284>
prime factors 素因数
60555019857376629103431418394229013278889<41>
composite cofactor 合成数の残り
422782441257697968220072593670218915727155171561675272619873698541034574544384784346364087306173670407799746343425476537277910520282731747043184498414617840100763176386130561192408379136453795540205721845650910601281862837993047529813461720831<243>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fef776eb0e66 with GMP-ECM 7.0.5-dev on Tue May 24 23:13:55 2022 
Input number is 25601599125710068691472483955212865589659477237720171432762879142033522675512180268825341867848593426559894190364947367255304326612430748913980160820445698489392448707789582484500710632664121535503428001124777765852867077732286494972355537230384018069900953538762589216633195663836759 (284 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1433458383
Step 1 took 0ms
Step 2 took 13791ms
********** Factor found in step 2: 60555019857376629103431418394229013278889
Found prime factor of 41 digits: 60555019857376629103431418394229013278889
Composite cofactor 422782441257697968220072593670218915727155171561675272619873698541034574544384784346364087306173670407799746343425476537277910520282731747043184498414617840100763176386130561192408379136453795540205721845650910601281862837993047529813461720831 has 243 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 21:33:49 UTC 2022 年 5 月 25 日 (水) 6 時 33 分 49 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 10:53:01 UTC 2023 年 10 月 4 日 (水) 19 時 53 分 1 秒 (日本時間)

9×10295-2

c255

composite cofactor 合成数の残り
119659390221633690210876605570890959944174305171428155356525536505203408833089690517897401770927481101601557020584068346999323072936064402557903413412303687791981860351612652836710825407212755571927547196705119725480123445529178492447504751947980487749449<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:53:16 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 16 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 10:53:17 UTC 2023 年 10 月 4 日 (水) 19 時 53 分 17 秒 (日本時間)

9×10296-2

c263

composite cofactor 合成数の残り
46910565384821869314967670930310334492703672391195334606862312925757970364619631421621068096160036484908857242065857751979242837318362901360528218731835218115950945315717228630086822378226883541418486885040352449902850706646598321903051799276209287813323712744567<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 17, 2023 21:21:28 UTC 2023 年 2 月 18 日 (土) 6 時 21 分 28 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 10:53:45 UTC 2023 年 10 月 4 日 (水) 19 時 53 分 45 秒 (日本時間)

9×10297-2

c241

composite cofactor 合成数の残り
1381974006759881980366232555069142922136062466270932809201744230830318033853134451526849695769109551011313719645902265547212300540627109314388859909767105159784487520091686941863183570142363609778636318039791925619126833173571039466288619251<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 4, 2023 08:53:03 UTC 2023 年 7 月 4 日 (火) 17 時 53 分 3 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 10:53:57 UTC 2023 年 10 月 4 日 (水) 19 時 53 分 57 秒 (日本時間)

9×10298-2

c261

composite cofactor 合成数の残り
192963595585556965096071677018583617738431496589883235585090751402516467452585012090602549040692540748645829688932284339512662618823475254732462029892834570200912769893932060490618115713690480663187561352808025683347388067031347651134060712465597128160784104193<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 17, 2023 21:21:40 UTC 2023 年 2 月 18 日 (土) 6 時 21 分 40 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 11:04:40 UTC 2023 年 10 月 4 日 (水) 20 時 4 分 40 秒 (日本時間)

9×10299-2

c299

composite cofactor 合成数の残り
40909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 9, 2022 18:35:15 UTC 2022 年 5 月 10 日 (火) 3 時 35 分 15 秒 (日本時間)
2350Ignacio SantosOctober 4, 2023 11:21:43 UTC 2023 年 10 月 4 日 (水) 20 時 21 分 43 秒 (日本時間)

9×10300-2

c284

name 名前Dmitry Domanov
date 日付May 10, 2022 12:15:20 UTC 2022 年 5 月 10 日 (火) 21 時 15 分 20 秒 (日本時間)
composite number 合成数
67801684304417622879227710416172516094951857186360165458360730330531308655634716827845108196971297860231437775163443164429293604359875500615290260163127275111755098735689520164497693029337031771541223108297368216275674646220480938800089945792644560238043158335467525880415919855405161<284>
prime factors 素因数
70062000212261526574067108953678261935679<41>
967738347449459106581892569932091070041781024548544958597189442132124164423436022795340839430777528121176912100175446068048598017101625510408297323161381082948237863708062424024651818459788386513455798006779416115187529129243301340051503791959<243>
factorization results 素因数分解の結果
Resuming ECM residue saved by @f56f44b47c26 with GMP-ECM 7.0.5-dev on Sun May  8 21:06:06 2022 
Input number is 67801684304417622879227710416172516094951857186360165458360730330531308655634716827845108196971297860231437775163443164429293604359875500615290260163127275111755098735689520164497693029337031771541223108297368216275674646220480938800089945792644560238043158335467525880415919855405161 (284 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:11592538
Step 1 took 0ms
Step 2 took 17374ms
********** Factor found in step 2: 70062000212261526574067108953678261935679
Found prime factor of 41 digits: 70062000212261526574067108953678261935679
Prime cofactor 967738347449459106581892569932091070041781024548544958597189442132124164423436022795340839430777528121176912100175446068048598017101625510408297323161381082948237863708062424024651818459788386513455798006779416115187529129243301340051503791959 has 243 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 7, 2022 19:10:09 UTC 2022 年 5 月 8 日 (日) 4 時 10 分 9 秒 (日本時間)