Table of contents 目次

10202-8

c164

name 名前Eric Jeancolas
date 日付August 1, 2020 00:07:38 UTC 2020 年 8 月 1 日 (土) 9 時 7 分 38 秒 (日本時間)
composite number 合成数
20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991<164>
prime factors 素因数
133230108586902642167275830725628370086373017525877879<54>
155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529<111>
factorization results 素因数分解の結果
20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991=133230108586902642167275830725628370086373017525877879*155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529

n: 20660159175444409155518980569873569966365513545571051401815816974542605836141727169160639991007192614094208909407920728442145140009592717067207993762496247602590991
skew: 0.60
type: snfs
c0: -2
c5: 25
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5-2
# g(x) = -x+10000000000000000000000000000000000000000

Info:Square Root: Factors: 155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529 133230108586902642167275830725628370086373017525877879
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.78/2.65693
Info:Generate Free Relations: Total cpu/real time for freerel: 202.8/52.4378
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 46488246
Info:Lattice Sieving: Average J: 1894.63 for 3558205 special-q, max bucket fill -bkmult 1.0,1s:1.071190
Info:Lattice Sieving: Total time: 1.0458e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 93.9/111.844
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 111.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 748.94/455.906
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 398.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 551.3/331.193
Info:Filtering - Merging: Total cpu/real time for merge: 472.62/136.656
Info:Filtering - Merging: Total cpu/real time for replay: 129.8/113.356
Info:Linear Algebra: Total cpu/real time for bwc: 191811/49336.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31557.95, iteration CPU time 0.29, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (101376 iterations)
Info:Linear Algebra: Lingen CPU time 677.27, WCT time 195.46
Info:Linear Algebra: Mksol: WCT time 17159.98, iteration CPU time 0.32, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (50688 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 120.63/50.7247
Info:Square Root: Total cpu/real time for sqrt: 915.81/292.671
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 2.0687e+06/176791
Info:root: Cleaning up computation data in /tmp/cado.azruyt13
155071247742534924097254548890203990506076899464322969734907341840382499595891219712988439814271088189520767529 133230108586902642167275830725628370086373017525877879
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 08:33:35 UTC 2020 年 7 月 23 日 (木) 17 時 33 分 35 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 08:34:16 UTC 2020 年 7 月 23 日 (木) 17 時 34 分 16 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:34:16 UTC 2020 年 7 月 23 日 (木) 17 時 34 分 16 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 23, 2020 08:35:06 UTC 2020 年 7 月 23 日 (木) 17 時 35 分 6 秒 (日本時間)

10208-8

c193

name 名前Bob Backstrom
date 日付June 29, 2021 12:56:35 UTC 2021 年 6 月 29 日 (火) 21 時 56 分 35 秒 (日本時間)
composite number 合成数
2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039<193>
prime factors 素因数
969668987302618259389633650252176270855878545878229351264740097095993<69>
2333886763119904672816809412097409067079350350263462000562635132000019090203378134043798347656775411995344761828753861591423<124>
factorization results 素因数分解の結果
Number: n
N=2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039
  ( 193 digits)
SNFS difficulty: 207 digits.
Divisors found:

Tue Jun 29 22:49:02 2021  p69 factor: 969668987302618259389633650252176270855878545878229351264740097095993
Tue Jun 29 22:49:02 2021  p124 factor: 2333886763119904672816809412097409067079350350263462000562635132000019090203378134043798347656775411995344761828753861591423
Tue Jun 29 22:49:02 2021  elapsed time 02:00:49 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.355).
Factorization parameters were as follows:
#
# N = 10^208-8 = 9(207)2
#
n: 2263097614073463673494693798323992391468324137848326170048482427659599105787532496286563454472539598856184507433760123589775549120374775946191996133326735621803956642369572885538468823776468039
m: 100000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -1
skew: 0.38
# Murphy_E = 9.399e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 45800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 8328094 hash collisions in 60804212 relations (54906935 unique)
Msieve: matrix is 2284231 x 2284458 (792.4 MB)

Sieving start time : 2021/06/29 03:21:21
Sieving end time  : 2021/06/29 20:46:08

Total sieving time: 17hrs 24min 47secs.

Total relation processing time: 1hrs 39min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 35sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117292] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16239972K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2736K init, 4964K bss, 487264K reserved, 0K cma-reserved)
[    0.153499] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.03 BogoMIPS (lpj=12798064)
[    0.152047] smpboot: Total of 16 processors activated (102384.51 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 23, 2020 08:58:31 UTC 2020 年 7 月 23 日 (木) 17 時 58 分 31 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:58:58 UTC 2020 年 7 月 23 日 (木) 17 時 58 分 58 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 23, 2020 08:59:23 UTC 2020 年 7 月 23 日 (木) 17 時 59 分 23 秒 (日本時間)

10209-8

c177

name 名前Jo Yeong Uk
date 日付October 28, 2020 14:07:13 UTC 2020 年 10 月 28 日 (水) 23 時 7 分 13 秒 (日本時間)
composite number 合成数
467934865482689403973981669294868695866171746051912408571608969369589175586351118414526745087690898724009306336845016665931347527211443593638745999399838047497244807831455184559<177>
prime factors 素因数
172657799400370127934349369393843368465328339<45>
42824251960017965713229312085187588428281721571212069029<56>
63286258150644737734872344483953930638458808865847191701150932238824276324689<77>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 467934865482689403973981669294868695866171746051912408571608969369589175586351118414526745087690898724009306336845016665931347527211443593638745999399838047497244807831455184559 (177 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4827970819
Step 1 took 35015ms
********** Factor found in step 1: 172657799400370127934349369393843368465328339
Found probable prime factor of 45 digits: 172657799400370127934349369393843368465328339
Composite cofactor 2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981 has 133 digits

Number: 99992_209
N=2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981
  ( 133 digits)
Divisors found:
 r1=42824251960017965713229312085187588428281721571212069029
 r2=63286258150644737734872344483953930638458808865847191701150932238824276324689
Version: 
Total time: 101.11 hours.
Scaled time: 530.61 units (timescale=5.248).
Factorization parameters were as follows:
name: 99992_209
n: 2710186664649950867971583656560108647928932038518537388244585753680656715194469288600840628054966346475427085800353751548223484956981
skew: 190515.55
# norm 3.93e+18
c5: 537720
c4: 357390744728
c3: -51777906670051394
c2: -8045525973150173417917
c1: 756696525876590788310955804
c0: 45031664678461769467300479647859
# alpha -6.78
Y1: 44353809977059
Y0: -21902237596839240959553010
# Murphy_E 5.39e-11
# M 939997294976223818107536532036748442628198271877960915946579524599192747589472552622397337372093423296693531250057862166495426750725
type: gnfs
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved algebraic special-q in [4500000, 7900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20215706
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1548200 x 1548448
Polynomial selection time: 17.03 hours.
Total sieving time: 79.03 hours.
Total relation processing time: 1.75 hours.
Matrix solve time: 2.93 hours.
Time per square root: 0.37 hours.
Prototype def-par.txt line would be:
gnfs,132,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,9000000,9000000,28,28,55,55,2.6,2.6,100000
total time: 101.11 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367540k/51380224k available (5548k kernel code, 1086464k absent, 926220k reserved, 6882k data, 1352k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.05 BogoMIPS (lpj=3400026)
Total of 12 processors activated (81600.62 BogoMIPS).
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 23, 2020 09:00:17 UTC 2020 年 7 月 23 日 (木) 18 時 0 分 17 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 23, 2020 09:00:49 UTC 2020 年 7 月 23 日 (木) 18 時 0 分 49 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 23, 2020 09:01:19 UTC 2020 年 7 月 23 日 (木) 18 時 1 分 19 秒 (日本時間)

10211-8

c181

name 名前ebina
date 日付September 14, 2021 23:28:01 UTC 2021 年 9 月 15 日 (水) 8 時 28 分 1 秒 (日本時間)
composite number 合成数
3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519<181>
prime factors 素因数
7730444741528178178490097615701230682051723635574921489171<58>
40725304285202379035080787830790888571062464692018280536469<59>
11325708531732703925702073631696079848456953825103921766731859681<65>
factorization results 素因数分解の結果
Number: 1025
N=3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519
  ( 181 digits)
SNFS difficulty: 210 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 557.11 hours.
Scaled time: 2413.97 units (timescale=4.333).
Factorization parameters were as follows:
n: 3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519
m: 1000000000000000000000000000000000000000000
c5:  5
c0:  -4
type: snfs
Factor base limits: 22700000/22700000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [11350000, 24050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3751121 x 3751345
Total sieving time: 531.64 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 24.62 hours.
Time per square root: 0.40 hours.
Prototype def-par.txt line would be:
snfs,210.000,5,0,0,0,0,0,0,0,0,22700000,22700000,29,29,58,58,2.6,2.6,100000
total time: 557.11 hours.
 --------- CPU info (if available) ----------

Sun Dec 18 01:18:33 2016  Msieve v. 1.53 (SVN unknown)
Sun Dec 18 01:18:33 2016  random seeds: 290e5920 54590389
Sun Dec 18 01:18:33 2016  factoring 3565612953412387662702059096840731501586051033949260327667539005738410138163245102099300817809677720561320033809379269684665566259776542478440783515854480177851850127566253809513519 (181 digits)
Sun Dec 18 01:18:34 2016  searching for 15-digit factors
Sun Dec 18 01:18:35 2016  commencing number field sieve (181-digit input)
Sun Dec 18 01:18:35 2016  R0: -1000000000000000000000000000000000000000000
Sun Dec 18 01:18:35 2016  R1: 1
Sun Dec 18 01:18:35 2016  A0: -4
Sun Dec 18 01:18:35 2016  A1: 0
Sun Dec 18 01:18:35 2016  A2: 0
Sun Dec 18 01:18:35 2016  A3: 0
Sun Dec 18 01:18:35 2016  A4: 0
Sun Dec 18 01:18:35 2016  A5: 5
Sun Dec 18 01:18:35 2016  skew 0.96, size 2.177e-14, alpha 0.512, combined = 7.189e-12 rroots = 1
Sun Dec 18 01:18:35 2016  
Sun Dec 18 01:18:35 2016  commencing square root phase
Sun Dec 18 01:18:35 2016  reading relations for dependency 1
Sun Dec 18 01:18:36 2016  read 1875436 cycles
Sun Dec 18 01:18:39 2016  cycles contain 6042774 unique relations
Sun Dec 18 01:19:40 2016  read 6042774 relations
Sun Dec 18 01:20:07 2016  multiplying 6042774 relations
Sun Dec 18 01:23:01 2016  multiply complete, coefficients have about 159.00 million bits
Sun Dec 18 01:23:02 2016  initial square root is modulo 508531
Sun Dec 18 01:26:35 2016  found factor: 7730444741528178178490097615701230682051723635574921489171
Sun Dec 18 01:26:35 2016  reading relations for dependency 2
Sun Dec 18 01:26:35 2016  read 1877164 cycles
Sun Dec 18 01:26:38 2016  cycles contain 6045134 unique relations
Sun Dec 18 01:27:39 2016  read 6045134 relations
Sun Dec 18 01:28:07 2016  multiplying 6045134 relations
Sun Dec 18 01:30:58 2016  multiply complete, coefficients have about 159.06 million bits
Sun Dec 18 01:30:59 2016  initial square root is modulo 510931
Sun Dec 18 01:34:32 2016  GCD is N, no factor found
Sun Dec 18 01:34:32 2016  reading relations for dependency 3
Sun Dec 18 01:34:33 2016  read 1875881 cycles
Sun Dec 18 01:34:36 2016  cycles contain 6042698 unique relations
Sun Dec 18 01:35:36 2016  read 6042698 relations
Sun Dec 18 01:36:04 2016  multiplying 6042698 relations
Sun Dec 18 01:38:55 2016  multiply complete, coefficients have about 159.00 million bits
Sun Dec 18 01:38:56 2016  initial square root is modulo 508451
Sun Dec 18 01:42:28 2016  sqrtTime: 1433
Sun Dec 18 01:42:28 2016  p58 factor: 7730444741528178178490097615701230682051723635574921489171
Sun Dec 18 01:42:28 2016  p59 factor: 40725304285202379035080787830790888571062464692018280536469
Sun Dec 18 01:42:28 2016  p65 factor: 11325708531732703925702073631696079848456953825103921766731859681
Sun Dec 18 01:42:28 2016  elapsed time 00:23:55

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 23, 2020 09:01:58 UTC 2020 年 7 月 23 日 (木) 18 時 1 分 58 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 23, 2020 09:02:28 UTC 2020 年 7 月 23 日 (木) 18 時 2 分 28 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 23, 2020 09:03:00 UTC 2020 年 7 月 23 日 (木) 18 時 3 分 0 秒 (日本時間)

10212-8

c156

composite cofactor 合成数の残り
430201723402201059792292094146632777083503443491893542804208594591189004473524876053200981306079509647383060508971397230070659097812373336315498610293274153<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 23, 2020 09:03:38 UTC 2020 年 7 月 23 日 (木) 18 時 3 分 38 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 23, 2020 09:04:03 UTC 2020 年 7 月 23 日 (木) 18 時 4 分 3 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 23, 2020 09:04:56 UTC 2020 年 7 月 23 日 (木) 18 時 4 分 56 秒 (日本時間)

10215-8

c211

name 名前Bob Backstrom
date 日付August 9, 2020 01:27:07 UTC 2020 年 8 月 9 日 (日) 10 時 27 分 7 秒 (日本時間)
composite number 合成数
4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281<211>
prime factors 素因数
79119273786678006657504194989369553766900970315635105604935642398969882012557986662710055579251319<98>
54876455942189761867824312850363876273929306609381780847877081529946836030690522021616165448283907709464641787399<113>
factorization results 素因数分解の結果
Number: n
N=4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281  ( 211 digits)
SNFS difficulty: 215 digits.
Divisors found:

Sun Aug  9 11:17:39 2020  p98 factor: 79119273786678006657504194989369553766900970315635105604935642398969882012557986662710055579251319
Sun Aug  9 11:17:39 2020  p113 factor: 54876455942189761867824312850363876273929306609381780847877081529946836030690522021616165448283907709464641787399
Sun Aug  9 11:17:39 2020  elapsed time 04:55:10 (Msieve 1.54 - dependency 8)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# N = 10^215-8 = 9(214)2
#
n: 4341785342132684960055574852379298367488711358110455019103855505383813824244529350468912816950329975686002084056964223688780826675929142063216394581451893018409169850642584230635637374088225078152136158388329281
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -8
skew: 1.52
# Murphy_E = 4.6e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 53500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8354244 hash collisions in 58193824 relations (51992612 unique)
Msieve: matrix is 3196488 x 3196713 (1114.4 MB)

Sieving start time: 2020/08/08 08:56:05
Sieving end time  : 2020/08/09 06:21:35

Total sieving time: 21hrs 25min 30secs.

Total relation processing time: 4hrs 5min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 31min 22sec.

Prototype def-par.txt line would be:
snfs,215,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved)
[    0.188728] x86/mm: Memory block size: 128MB
[    0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004)
[    0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:52:06 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 6 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 10:52:36 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 36 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 10:52:58 UTC 2020 年 7 月 24 日 (金) 19 時 52 分 58 秒 (日本時間)

10217-8

c190

composite cofactor 合成数の残り
6651816503823815820291523235122155960102373425973514761308478304155066258374737997867348695815959433469218577131073958673020603078936573339243324143877990991839938437326038756560170627309181<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:53:24 UTC 2020 年 7 月 24 日 (金) 19 時 53 分 24 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 10:54:06 UTC 2020 年 7 月 24 日 (金) 19 時 54 分 6 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 10:54:30 UTC 2020 年 7 月 24 日 (金) 19 時 54 分 30 秒 (日本時間)

10218-8

c147

name 名前Eric Jeancolas
date 日付August 9, 2020 04:11:24 UTC 2020 年 8 月 9 日 (日) 13 時 11 分 24 秒 (日本時間)
composite number 合成数
639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689<147>
prime factors 素因数
240487176065058305277561586798456729484240627583025630419091997893139273<72>
2657177002502156104288840159314691994994136977053583395748847176449997999193<76>
factorization results 素因数分解の結果
639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689=240487176065058305277561586798456729484240627583025630419091997893139273*2657177002502156104288840159314691994994136977053583395748847176449997999193

n: 639016993636759888036885958438280820171491275448735814043023370286343938839751162742072959279693984538437612076925890739476006480452692271690606689
skew: 641339.41
c0: -51024569377438092693420546065949105
c1: -33308928743704870754333907197
c2: 78339527269522859431104
c3: -949992820815900334
c4: 815469070260
c5: 604800
Y0: -19858625232103102778743481268
Y1: 396625831819686745001
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.484e-07
# f(x) = 604800*x^5+815469070260*x^4-949992820815900334*x^3+78339527269522859431104*x^2-33308928743704870754333907197*x-51024569377438092693420546065949105
# g(x) = 396625831819686745001*x-19858625232103102778743481268

Info:Square Root: Factors: 240487176065058305277561586798456729484240627583025630419091997893139273 2657177002502156104288840159314691994994136977053583395748847176449997999193
Info:Square Root: Total cpu/real time for sqrt: 3245.4/1137.24
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 77228.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 78476/44.830/52.930/59.640/0.889
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 63588/42.390/47.573/53.810/1.306
Info:Polynomial Selection (size optimized): Total time: 41771
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6316.2
Info:Polynomial Selection (root optimized): Rootsieve time: 6311.37
Info:Generate Factor Base: Total cpu/real time for makefb: 18.11/4.83495
Info:Generate Free Relations: Total cpu/real time for freerel: 469.47/118.219
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51269545
Info:Lattice Sieving: Average J: 3812.54 for 1492022 special-q, max bucket fill -bkmult 1.0,1s:1.087200
Info:Lattice Sieving: Total time: 1.88894e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 110.05/256.232
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 255.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1066.06/980.98
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 855.4000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 941.22/958.843
Info:Filtering - Merging: Total cpu/real time for merge: 531.94/154.365
Info:Filtering - Merging: Total cpu/real time for replay: 151.9/130.297
Info:Linear Algebra: Total cpu/real time for bwc: 241947/61989.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39422.61, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113152 iterations)
Info:Linear Algebra: Lingen CPU time 795.26, WCT time 229.33
Info:Linear Algebra: Mksol: WCT time 21841.81, iteration CPU time 0.37, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 141.86/58.1912
Info:Square Root: Total cpu/real time for sqrt: 3245.4/1137.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.49191e+06/634.202
240487176065058305277561586798456729484240627583025630419091997893139273 2657177002502156104288840159314691994994136977053583395748847176449997999193
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 08:19:03 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 3 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 08:19:23 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 23 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:19:23 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 23 秒 (日本時間)
403e674Eric JeancolasJuly 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
4511e63000Eric JeancolasJuly 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
5043e630001200Eric JeancolasJuly 23, 2020 08:19:45 UTC 2020 年 7 月 23 日 (木) 17 時 19 分 45 秒 (日本時間)
1800Eric JeancolasJuly 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)
5511e73000 / 13720Eric JeancolasJuly 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)
6026e71200 / 40485Eric JeancolasJuly 23, 2020 08:20:41 UTC 2020 年 7 月 23 日 (木) 17 時 20 分 41 秒 (日本時間)

10223-8

c203

composite cofactor 合成数の残り
21774374003756766176437656416173757619100627000112441935374360441049966069229687419291114017530850279393139799750012514952070963076008243655827950695712636723730783621179518160438637778266284863320925599<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:55:27 UTC 2020 年 7 月 24 日 (金) 19 時 55 分 27 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 10:55:46 UTC 2020 年 7 月 24 日 (金) 19 時 55 分 46 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 10:56:07 UTC 2020 年 7 月 24 日 (金) 19 時 56 分 7 秒 (日本時間)

10224-8

c202

composite cofactor 合成数の残り
8973999447748295695877050157188720693992006575545545284031802080696219140338359985473095862605246590732615498193481751324226968773108085481232259142172411613365744627772386345071919144110196015415297511<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:56:28 UTC 2020 年 7 月 24 日 (金) 19 時 56 分 28 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:43:04 UTC 2020 年 7 月 24 日 (金) 20 時 43 分 4 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:43:21 UTC 2020 年 7 月 24 日 (金) 20 時 43 分 21 秒 (日本時間)

10226-8

c149

name 名前Eric Jeancolas
date 日付August 6, 2020 06:34:55 UTC 2020 年 8 月 6 日 (木) 15 時 34 分 55 秒 (日本時間)
composite number 合成数
42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543<149>
prime factors 素因数
75540014775706952473778088720469786144824191560335592326849412748863<68>
569159545652176984771712249860300584557276520623186349563961615214032308408583361<81>
factorization results 素因数分解の結果
42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543=75540014775706952473778088720469786144824191560335592326849412748863*569159545652176984771712249860300584557276520623186349563961615214032308408583361

n: 42994320488300105189343312896333310382917244366006736721581292915263516259386985120748234454612484527488816087045838568929787673658715867610693468543
skew: 50910.81
c0: -4785803772291713507344659609156
c1: -328652383164045081614075676
c2: 6990015363616718318239
c3: 40851019108477727
c4: -3939424712016
c5: 11194560
Y0: -39173537293322879566045915238
Y1: 89330598602601816479
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=5.369e+14) = 1.005e-07
# f(x) = 11194560*x^5-3939424712016*x^4+40851019108477727*x^3+6990015363616718318239*x^2-328652383164045081614075676*x-4785803772291713507344659609156
# g(x) = 89330598602601816479*x-39173537293322879566045915238

Info:Square Root: Factors: 569159545652176984771712249860300584557276520623186349563961615214032308408583361 75540014775706952473778088720469786144824191560335592326849412748863
Info:Square Root: Total cpu/real time for sqrt: 2961.78/959.24
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 85397.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86934/44.040/53.637/58.570/0.887
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 71647/42.960/47.971/54.380/1.115
Info:Polynomial Selection (size optimized): Total time: 79875
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 11253.7
Info:Polynomial Selection (root optimized): Rootsieve time: 11248.9
Info:Generate Factor Base: Total cpu/real time for makefb: 28.89/7.6852
Info:Generate Free Relations: Total cpu/real time for freerel: 445.6/112.369
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51502773
Info:Lattice Sieving: Average J: 3800.96 for 1886560 special-q, max bucket fill -bkmult 1.0,1s:1.075260
Info:Lattice Sieving: Total time: 2.23441e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 109.77/264.984
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 264.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1003.63/919.75
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 813.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 864.16/874.06
Info:Filtering - Merging: Total cpu/real time for merge: 704.04/201.51
Info:Filtering - Merging: Total cpu/real time for replay: 184.73/161.938
Info:Linear Algebra: Total cpu/real time for bwc: 363314/93115.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 59757.24, iteration CPU time 0.42, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (135680 iterations)
Info:Linear Algebra: Lingen CPU time 970.76, WCT time 280.18
Info:Linear Algebra: Mksol: WCT time 32439.25, iteration CPU time 0.45, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (68096 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 166.1/69.2433
Info:Square Root: Total cpu/real time for sqrt: 2961.78/959.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.99031e+06/447.997
569159545652176984771712249860300584557276520623186349563961615214032308408583361 75540014775706952473778088720469786144824191560335592326849412748863
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 08:27:41 UTC 2020 年 7 月 23 日 (木) 17 時 27 分 41 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:28:51 UTC 2020 年 7 月 23 日 (木) 17 時 28 分 51 秒 (日本時間)
403e60--
4511e62100Eric JeancolasJuly 23, 2020 08:29:22 UTC 2020 年 7 月 23 日 (木) 17 時 29 分 22 秒 (日本時間)
5043e63000 / 7075Eric JeancolasJuly 23, 2020 08:29:51 UTC 2020 年 7 月 23 日 (木) 17 時 29 分 51 秒 (日本時間)

10229-8

c193

name 名前ebina
date 日付August 19, 2021 14:07:59 UTC 2021 年 8 月 19 日 (木) 23 時 7 分 59 秒 (日本時間)
composite number 合成数
4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181<193>
prime factors 素因数
334767049345437007805423028023677056513970699108900036280171<60>
14067293831782260966096208420484151105132669611606551911429438930057355484234892025019671334628528087406267864301656816980091099272311<134>
factorization results 素因数分解の結果
Wed Feb 20 03:59:06 2019  Msieve v. 1.53 (SVN unknown)
Wed Feb 20 03:59:06 2019  random seeds: 688cf740 e8d75961
Wed Feb 20 03:59:06 2019  factoring 4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181 (193 digits)
Wed Feb 20 03:59:07 2019  searching for 15-digit factors
Wed Feb 20 03:59:07 2019  commencing number field sieve (193-digit input)
Wed Feb 20 03:59:07 2019  R0: -1000000000000000000000000000000000000000000000
Wed Feb 20 03:59:07 2019  R1: 1
Wed Feb 20 03:59:07 2019  A0: -1
Wed Feb 20 03:59:07 2019  A1: 0
Wed Feb 20 03:59:07 2019  A2: 0
Wed Feb 20 03:59:07 2019  A3: 0
Wed Feb 20 03:59:07 2019  A4: 0
Wed Feb 20 03:59:07 2019  A5: 1250
Wed Feb 20 03:59:07 2019  skew 0.24, size 9.321e-16, alpha 0.299, combined = 9.890e-13 rroots = 1
Wed Feb 20 03:59:07 2019  
Wed Feb 20 03:59:07 2019  commencing linear algebra
Wed Feb 20 03:59:08 2019  read 9335165 cycles
Wed Feb 20 03:59:19 2019  cycles contain 29977212 unique relations
Wed Feb 20 04:02:18 2019  read 29977212 relations
Wed Feb 20 04:02:50 2019  using 20 quadratic characters above 4294917295
Wed Feb 20 04:04:18 2019  building initial matrix
Wed Feb 20 04:07:07 2019  memory use: 3736.2 MB
Wed Feb 20 04:07:11 2019  read 9335165 cycles
Wed Feb 20 04:07:13 2019  matrix is 9334985 x 9335165 (2816.5 MB) with weight 817931339 (87.62/col)
Wed Feb 20 04:07:13 2019  sparse part has weight 635631550 (68.09/col)
Wed Feb 20 04:08:08 2019  filtering completed in 2 passes
Wed Feb 20 04:08:10 2019  matrix is 9323959 x 9324136 (2815.5 MB) with weight 817567583 (87.68/col)
Wed Feb 20 04:08:10 2019  sparse part has weight 635506256 (68.16/col)
Wed Feb 20 04:08:22 2019  matrix starts at (0, 0)
Wed Feb 20 04:08:24 2019  matrix is 9323959 x 9324136 (2815.5 MB) with weight 817567583 (87.68/col)
Wed Feb 20 04:08:24 2019  sparse part has weight 635506256 (68.16/col)
Wed Feb 20 04:08:24 2019  saving the first 48 matrix rows for later
Wed Feb 20 04:08:26 2019  matrix includes 64 packed rows
Wed Feb 20 04:08:27 2019  matrix is 9323911 x 9324136 (2678.8 MB) with weight 654126931 (70.15/col)
Wed Feb 20 04:08:27 2019  sparse part has weight 608988903 (65.31/col)
Wed Feb 20 04:08:27 2019  using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
Wed Feb 20 04:08:52 2019  commencing Lanczos iteration (12 threads)
Wed Feb 20 04:08:52 2019  memory use: 2211.9 MB
Wed Feb 20 04:09:05 2019  linear algebra at 0.0%, ETA 20h30m
Wed Feb 20 04:09:08 2019  checkpointing every 490000 dimensions
Thu Feb 21 01:02:45 2019  lanczos halted after 147448 iterations (dim = 9323909)
Thu Feb 21 01:02:52 2019  recovered 38 nontrivial dependencies
Thu Feb 21 01:02:54 2019  BLanczosTime: 75827
Thu Feb 21 01:02:54 2019  elapsed time 21:03:48
Thu Feb 21 01:02:54 2019 -> Running square root step ...
Thu Feb 21 01:02:54 2019  
Thu Feb 21 01:02:54 2019  
Thu Feb 21 01:02:54 2019  Msieve v. 1.53 (SVN unknown)
Thu Feb 21 01:02:54 2019  random seeds: 185cf548 d9861376
Thu Feb 21 01:02:54 2019  factoring 4709266448341013803338464840928496502608748751400035391462535775987218638368797823987634262768228842852261732740343932209166475184948215739557192089472450926447574211120900079552345077418645181 (193 digits)
Thu Feb 21 01:02:55 2019  searching for 15-digit factors
Thu Feb 21 01:02:55 2019  commencing number field sieve (193-digit input)
Thu Feb 21 01:02:55 2019  R0: -1000000000000000000000000000000000000000000000
Thu Feb 21 01:02:55 2019  R1: 1
Thu Feb 21 01:02:55 2019  A0: -1
Thu Feb 21 01:02:55 2019  A1: 0
Thu Feb 21 01:02:55 2019  A2: 0
Thu Feb 21 01:02:55 2019  A3: 0
Thu Feb 21 01:02:55 2019  A4: 0
Thu Feb 21 01:02:55 2019  A5: 1250
Thu Feb 21 01:02:55 2019  skew 0.24, size 9.321e-16, alpha 0.299, combined = 9.890e-13 rroots = 1
Thu Feb 21 01:02:55 2019  
Thu Feb 21 01:02:55 2019  commencing square root phase
Thu Feb 21 01:02:55 2019  reading relations for dependency 1
Thu Feb 21 01:02:56 2019  read 4662482 cycles
Thu Feb 21 01:03:01 2019  cycles contain 14984664 unique relations
Thu Feb 21 01:04:35 2019  read 14984664 relations
Thu Feb 21 01:05:26 2019  multiplying 14984664 relations
Thu Feb 21 01:10:18 2019  multiply complete, coefficients have about 510.62 million bits
Thu Feb 21 01:10:20 2019  initial square root is modulo 1452478661
Thu Feb 21 01:16:48 2019  GCD is N, no factor found
Thu Feb 21 01:16:48 2019  reading relations for dependency 2
Thu Feb 21 01:16:49 2019  read 4662475 cycles
Thu Feb 21 01:16:54 2019  cycles contain 14985934 unique relations
Thu Feb 21 01:18:28 2019  read 14985934 relations
Thu Feb 21 01:19:19 2019  multiplying 14985934 relations
Thu Feb 21 01:24:11 2019  multiply complete, coefficients have about 510.67 million bits
Thu Feb 21 01:24:12 2019  initial square root is modulo 1455526001
Thu Feb 21 01:30:36 2019  sqrtTime: 1661
Thu Feb 21 01:30:36 2019  p60 factor: 334767049345437007805423028023677056513970699108900036280171
Thu Feb 21 01:30:36 2019  p134 factor: 14067293831782260966096208420484151105132669611606551911429438930057355484234892025019671334628528087406267864301656816980091099272311
Thu Feb 21 01:30:36 2019  elapsed time 00:27:42
Thu Feb 21 01:30:36 2019 -> Computing 1.55068e+09 scale for this machine...
Thu Feb 21 01:30:36 2019 -> procrels -speedtest> PIPE
Thu Feb 21 01:30:38 2019 -> Factorization summary written to s229-1591.txt
software ソフトウェア
ggnfs factmsieve.py
execution environment 実行環境
core i9 9900k windows 10 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:57:02 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 2 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:42:17 UTC 2020 年 7 月 24 日 (金) 20 時 42 分 17 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:42:34 UTC 2020 年 7 月 24 日 (金) 20 時 42 分 34 秒 (日本時間)

10233-8

c209

composite cofactor 合成数の残り
14825633003350672119514818636423043126883037746439601502115666819220320063974074165038251734908153627485854303319743573729524280396201651804772618568017715737711825691631429550429282644809354024255104985025081<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:57:21 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 21 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:41:37 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 37 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:41:50 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 50 秒 (日本時間)

10235-8

c189

composite cofactor 合成数の残り
137708353823296945681799543404243311215194889651949802219091080543057325877558591428413732209099375855599579297568172592708073112926180652898410427980061184931096050519985374416525881611389<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:57:37 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 37 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:40:59 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 59 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:41:19 UTC 2020 年 7 月 24 日 (金) 20 時 41 分 19 秒 (日本時間)

10238-8

c218

composite cofactor 合成数の残り
35220738838848103292821727196538047774966928884770013874562995268352805052385985337792023399088317372942853191437798075977176907314188145513560687128960622718054042640859520068294252753177615378250355596282748970851569<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:57:55 UTC 2020 年 7 月 24 日 (金) 19 時 57 分 55 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:40:17 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 17 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:40:40 UTC 2020 年 7 月 24 日 (金) 20 時 40 分 40 秒 (日本時間)

10241-8

c219

composite cofactor 合成数の残り
147173302413009193046967832977358926568718213111943186592194201854115973767260144643386945004138270561730606924558211685710595424526371615295750811572972104790688155260767023221632497517549191741482789446245018424480571<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:58:29 UTC 2020 年 7 月 24 日 (金) 19 時 58 分 29 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:39:26 UTC 2020 年 7 月 24 日 (金) 20 時 39 分 26 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:39:45 UTC 2020 年 7 月 24 日 (金) 20 時 39 分 45 秒 (日本時間)

10244-8

c174

composite cofactor 合成数の残り
113670934419986410121627931368809047191099387337828435342240793689828209698870970239964931162970669889927364432037624400166913787511261427292409228428652883909632079154192999<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:59:14 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 14 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:37:58 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 58 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:38:18 UTC 2020 年 7 月 24 日 (金) 20 時 38 分 18 秒 (日本時間)

10245-8

c211

composite cofactor 合成数の残り
2678578010436588577104227168966069905942741090113066632891892398285063828742279322910484082708038669180554848586775585247367463253153507075800474643446241747999300698353533091960858315357736391179732802642875361<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:59:42 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 42 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:37:16 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 16 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:37:41 UTC 2020 年 7 月 24 日 (金) 20 時 37 分 41 秒 (日本時間)

10247-8

c206

composite cofactor 合成数の残り
49525834895508127953872772569259614717502912130047791744814559110392748660411540421503601068875140099481898663147833034282446403511903280179713662537754644488834778018812466123465413306723009027188249976801<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 10:59:58 UTC 2020 年 7 月 24 日 (金) 19 時 59 分 58 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:35:14 UTC 2020 年 7 月 24 日 (金) 20 時 35 分 14 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:35:35 UTC 2020 年 7 月 24 日 (金) 20 時 35 分 35 秒 (日本時間)

10250-8

c222

name 名前ebina
date 日付September 14, 2021 23:06:55 UTC 2021 年 9 月 15 日 (水) 8 時 6 分 55 秒 (日本時間)
composite number 合成数
932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847<222>
prime factors 素因数
1029995596931735299971525155360791560703353694299986865092423502042097<70>
407674956653663027604464719033094582496706030683632591938382922781770082193<75>
2221755071186885207180839879967194318484554879420202469888500903637322929995807<79>
factorization results 素因数分解の結果
Number: 2067
N = 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847 (222 digits)
SNFS difficulty: 250 digits.
Divisors found:
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1765.98 hours.
Factorization parameters were as follows:
n: 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847
m: 100000000000000000000000000000000000000000
c6: 1250
c0: -1
type: snfs

Factor base limits: 102700000/102700000
Large primes per side: 3
Large prime bits: 31/31
Sieved rational special-q in [0, 0)
Total raw relations: 165019039
Relations: 28605118 relations
Pruned matrix : 18017669 x 18017895
Polynomial selection time: 0.00 hours.
Total sieving time: 1284.91 hours.
Total relation processing time: 1.82 hours.
Matrix solve time: 472.90 hours.
time per square root: 6.36 hours.
Prototype def-par.txt line would be: snfs,250,6,0,0,0,0,0,0,0,0,102700000,102700000,31,31,62,62,2.6,2.6,100000
total time: 1765.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 2, speed: 2.99GHz

Sun Apr 18 04:46:00 2021  Msieve v. 1.53 (SVN unknown)
Sun Apr 18 04:46:00 2021  random seeds: 5c85de80 93e9eeed
Sun Apr 18 04:46:00 2021  factoring 932922531315141497661365630802992637456431101515102640067686743811540488105823117988867742625675686068435470772834833246623304226533395269728701120354287034823622845035831113308942663002610502880809767161926206746251922847 (222 digits)
Sun Apr 18 04:46:02 2021  searching for 15-digit factors
Sun Apr 18 04:46:02 2021  commencing number field sieve (222-digit input)
Sun Apr 18 04:46:02 2021  R0: -100000000000000000000000000000000000000000
Sun Apr 18 04:46:02 2021  R1: 1
Sun Apr 18 04:46:02 2021  A0: -1
Sun Apr 18 04:46:02 2021  A1: 0
Sun Apr 18 04:46:02 2021  A2: 0
Sun Apr 18 04:46:02 2021  A3: 0
Sun Apr 18 04:46:02 2021  A4: 0
Sun Apr 18 04:46:02 2021  A5: 0
Sun Apr 18 04:46:02 2021  A6: 1250
Sun Apr 18 04:46:02 2021  skew 0.30, size 1.873e-12, alpha 1.127, combined = 1.885e-13 rroots = 2
Sun Apr 18 04:46:02 2021  
Sun Apr 18 04:46:02 2021  commencing square root phase
Sun Apr 18 04:46:02 2021  reading relations for dependency 1
Sun Apr 18 04:46:07 2021  read 9007571 cycles
Sun Apr 18 04:46:21 2021  cycles contain 28620606 unique relations
Sun Apr 18 04:51:41 2021  read 28620606 relations
Sun Apr 18 04:54:23 2021  multiplying 28620606 relations
Sun Apr 18 05:25:09 2021  multiply complete, coefficients have about 1012.45 million bits
Sun Apr 18 05:25:16 2021  initial square root is modulo 1211047987
Sun Apr 18 06:01:52 2021  GCD is N, no factor found
Sun Apr 18 06:01:52 2021  reading relations for dependency 2
Sun Apr 18 06:01:55 2021  read 9009722 cycles
Sun Apr 18 06:02:09 2021  cycles contain 28626492 unique relations
Sun Apr 18 06:07:33 2021  read 28626492 relations
Sun Apr 18 06:10:15 2021  multiplying 28626492 relations
Sun Apr 18 06:41:05 2021  multiply complete, coefficients have about 1012.67 million bits
Sun Apr 18 06:41:12 2021  initial square root is modulo 1216527691
Sun Apr 18 07:17:48 2021  found factor: 1029995596931735299971525155360791560703353694299986865092423502042097
Sun Apr 18 07:17:48 2021  reading relations for dependency 3
Sun Apr 18 07:18:03 2021  read 9008602 cycles
Sun Apr 18 07:18:17 2021  cycles contain 28614938 unique relations
Sun Apr 18 07:23:29 2021  read 28614938 relations
Sun Apr 18 07:26:11 2021  multiplying 28614938 relations
Sun Apr 18 07:57:10 2021  multiply complete, coefficients have about 1012.26 million bits
Sun Apr 18 07:57:17 2021  initial square root is modulo 1206329419
Sun Apr 18 08:34:21 2021  found factor: 1029995596931735299971525155360791560703353694299986865092423502042097
Sun Apr 18 08:34:21 2021  reading relations for dependency 4
Sun Apr 18 08:34:35 2021  read 9006938 cycles
Sun Apr 18 08:34:49 2021  cycles contain 28623898 unique relations
Sun Apr 18 08:40:00 2021  read 28623898 relations
Sun Apr 18 08:42:41 2021  multiplying 28623898 relations
Sun Apr 18 09:13:45 2021  multiply complete, coefficients have about 1012.57 million bits
Sun Apr 18 09:13:52 2021  initial square root is modulo 1214105077
Sun Apr 18 09:51:00 2021  GCD is N, no factor found
Sun Apr 18 09:51:00 2021  reading relations for dependency 5
Sun Apr 18 09:51:15 2021  read 9003732 cycles
Sun Apr 18 09:51:29 2021  cycles contain 28605118 unique relations
Sun Apr 18 09:56:42 2021  read 28605118 relations
Sun Apr 18 09:59:23 2021  multiplying 28605118 relations
Sun Apr 18 10:30:30 2021  multiply complete, coefficients have about 1011.91 million bits
Sun Apr 18 10:30:38 2021  initial square root is modulo 1197659731
Sun Apr 18 11:07:21 2021  sqrtTime: 22879
Sun Apr 18 11:07:21 2021  p70 factor: 1029995596931735299971525155360791560703353694299986865092423502042097
Sun Apr 18 11:07:21 2021  p75 factor: 407674956653663027604464719033094582496706030683632591938382922781770082193
Sun Apr 18 11:07:21 2021  p79 factor: 2221755071186885207180839879967194318484554879420202469888500903637322929995807
Sun Apr 18 11:07:21 2021  elapsed time 06:21:21
Sun Apr 18 11:07:22 2021 -> Computing 1.61871e+09 scale for this machine...
Sun Apr 18 11:07:22 2021 -> procrels -speedtest> PIPE
Sun Apr 18 11:07:27 2021 -> Factorization summary written to s250-2067.txt
execution environment 実行環境
core i7 3960X
pentium  c3220

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:00:16 UTC 2020 年 7 月 24 日 (金) 20 時 0 分 16 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:34:43 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 43 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:34:56 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 56 秒 (日本時間)

10253-8

c177

composite cofactor 合成数の残り
252114661156132421777572266387032309002123532315150306897214393735368676657167377724177394241734115870746504160046799637889426621658051099493809596283240067861785985648281619519<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:01:30 UTC 2020 年 7 月 24 日 (金) 20 時 1 分 30 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:34:09 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 9 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:34:24 UTC 2020 年 7 月 24 日 (金) 20 時 34 分 24 秒 (日本時間)

10254-8

c230

composite cofactor 合成数の残り
43332902793497141601753749812851949040495507179469855841048219437851598786142082982978470107579805451521120664809082184728899526991704025082325290597513411882126385190920069546638427980162824311926260973904850788669514274240376863<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374iveliveJuly 22, 2020 17:28:07 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 7 秒 (日本時間)
255e4216iveliveJuly 22, 2020 17:28:20 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 20 秒 (日本時間)
3025e4432iveliveJuly 22, 2020 17:28:28 UTC 2020 年 7 月 23 日 (木) 2 時 28 分 28 秒 (日本時間)
351e61200Eric JeancolasJuly 24, 2020 11:33:23 UTC 2020 年 7 月 24 日 (金) 20 時 33 分 23 秒 (日本時間)
403e60--
4511e62100 / 4424Eric JeancolasJuly 24, 2020 11:33:46 UTC 2020 年 7 月 24 日 (金) 20 時 33 分 46 秒 (日本時間)

10256-8

c210

composite cofactor 合成数の残り
834729842634662951899146217697190915554532858212370311947055559230709701834169994723901004227277032142133114528548458403681425319131943950763369285755659696134798858286107835562492833980277300999067602770088793<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:01:46 UTC 2020 年 7 月 24 日 (金) 20 時 1 分 46 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:32:22 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 22 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:32:57 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 57 秒 (日本時間)

10257-8

c173

composite cofactor 合成数の残り
50822802268523295647871840785345831022078075701859847808902846913361865082154555049732523222560742089430248043819524995286322617013013530962926999807730782831498996786639109<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:02:02 UTC 2020 年 7 月 24 日 (金) 20 時 2 分 2 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:31:44 UTC 2020 年 7 月 24 日 (金) 20 時 31 分 44 秒 (日本時間)
403e60--
4511e62100Eric JeancolasJuly 24, 2020 11:32:05 UTC 2020 年 7 月 24 日 (金) 20 時 32 分 5 秒 (日本時間)
5043e62472 / 7075680Dmitry DomanovSeptember 6, 2020 12:14:38 UTC 2020 年 9 月 6 日 (日) 21 時 14 分 38 秒 (日本時間)
1792Dmitry DomanovMay 26, 2024 08:30:54 UTC 2024 年 5 月 26 日 (日) 17 時 30 分 54 秒 (日本時間)

10259-8

c189

composite cofactor 合成数の残り
252420441474030497037162154955438758320886577959570585495140184026385593889643306675035700390953881197820692988860763630338122765073897375573734429877870295939849112099353947827646487964829<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:02:18 UTC 2020 年 7 月 24 日 (金) 20 時 2 分 18 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:30:56 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 56 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:31:11 UTC 2020 年 7 月 24 日 (金) 20 時 31 分 11 秒 (日本時間)

10260-8

c242

composite cofactor 合成数の残り
25223408129465504922499996269821510686896329876233118944131358137047234073725944452788786458439862304571164267931947967658157966135444107507497543328823468737016591403555273597774996767614680855927436081618004543551736744556733627435898283729<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e380iveliveJuly 22, 2020 15:11:28 UTC 2020 年 7 月 23 日 (木) 0 時 11 分 28 秒 (日本時間)
255e4216iveliveJuly 22, 2020 15:15:06 UTC 2020 年 7 月 23 日 (木) 0 時 15 分 6 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:30:13 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 13 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:30:39 UTC 2020 年 7 月 24 日 (金) 20 時 30 分 39 秒 (日本時間)

10263-8

c258

composite cofactor 合成数の残り
125667293327569393479375483819079311142164895595612703455347897334848043108908303089404739164965969296966894208245785118981793322542701746272708079904291789401723149926107631523389196634127215514381365048407041389779730368255436367109350651961917783430013371<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:03:50 UTC 2020 年 7 月 24 日 (金) 20 時 3 分 50 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:29:43 UTC 2020 年 7 月 24 日 (金) 20 時 29 分 43 秒 (日本時間)
403e62350Ignacio SantosFebruary 10, 2022 15:20:56 UTC 2022 年 2 月 11 日 (金) 0 時 20 分 56 秒 (日本時間)

10264-8

c172

name 名前Eric Jeancolas
date 日付August 3, 2020 03:18:08 UTC 2020 年 8 月 3 日 (月) 12 時 18 分 8 秒 (日本時間)
composite number 合成数
1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897<172>
prime factors 素因数
148282122186460088280033684309138488857486578463879801<54>
7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297<118>
factorization results 素因数分解の結果
1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897=148282122186460088280033684309138488857486578463879801*7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297

n: 1076055610553953428313175224895622605776266517453622003185124607239702147806998665691043128308871002453406792063013816554039512762019541169887659794258167262084104506520897
skew: 0.58
type: snfs
c0: 1
c3: 5
c6: 25
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 25*x^6+5*x^3+1
# g(x) = -x+100000000000000000000000000000

Info:Square Root: Factors: 148282122186460088280033684309138488857486578463879801 7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297
Info:Square Root: Total cpu/real time for sqrt: 176.46/54.8847
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 4.5/2.01147
Info:Generate Free Relations: Total cpu/real time for freerel: 194.21/49.1215
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22418259
Info:Lattice Sieving: Average J: 1894.1 for 1146083 special-q, max bucket fill -bkmult 1.0,1s:1.174880
Info:Lattice Sieving: Total time: 192642s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 41.25/86.0262
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 202.7/166.355
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 157.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.88/95.3373
Info:Filtering - Merging: Total cpu/real time for merge: 101.81/29.1836
Info:Filtering - Merging: Total cpu/real time for replay: 26.25/22.1464
Info:Linear Algebra: Total cpu/real time for bwc: 9701.48/2493.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1563.07, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 134.1, WCT time 39.43
Info:Linear Algebra: Mksol: WCT time 855.82, iteration CPU time 0.06, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 26.02/10.3319
Info:Square Root: Total cpu/real time for sqrt: 176.46/54.8847
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 370007/22501
Info:root: Cleaning up computation data in /tmp/cado.zaasxht7
148282122186460088280033684309138488857486578463879801 7256812855705204047502769995530891206410012632318326900082260459369688634489794980813343744024797535044282162778220297
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 07:27:11 UTC 2020 年 7 月 23 日 (木) 16 時 27 分 11 秒 (日本時間)
255e4204Eric JeancolasJuly 23, 2020 07:27:39 UTC 2020 年 7 月 23 日 (木) 16 時 27 分 39 秒 (日本時間)
3025e4403Eric JeancolasJuly 23, 2020 07:28:17 UTC 2020 年 7 月 23 日 (木) 16 時 28 分 17 秒 (日本時間)
351e61200Eric JeancolasJuly 23, 2020 07:29:20 UTC 2020 年 7 月 23 日 (木) 16 時 29 分 20 秒 (日本時間)
403e62009Eric JeancolasJuly 23, 2020 07:30:04 UTC 2020 年 7 月 23 日 (木) 16 時 30 分 4 秒 (日本時間)
4511e642002100Eric JeancolasJuly 23, 2020 07:30:48 UTC 2020 年 7 月 23 日 (木) 16 時 30 分 48 秒 (日本時間)
2100Eric JeancolasJuly 23, 2020 07:32:27 UTC 2020 年 7 月 23 日 (木) 16 時 32 分 27 秒 (日本時間)
5043e63000 / 6528Eric JeancolasJuly 23, 2020 07:32:27 UTC 2020 年 7 月 23 日 (木) 16 時 32 分 27 秒 (日本時間)

10265-8

c204

composite cofactor 合成数の残り
134299842579783966005067848757426593483186645272311237088475715777187358364422090763059492757325700307940794574349351151713333031161663357476330037195561626367500350523978331164276413667262753160923653979<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:04:44 UTC 2020 年 7 月 24 日 (金) 20 時 4 分 44 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:27:58 UTC 2020 年 7 月 24 日 (金) 20 時 27 分 58 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:28:20 UTC 2020 年 7 月 24 日 (金) 20 時 28 分 20 秒 (日本時間)

10266-8

c246

composite cofactor 合成数の残り
614682648295024615785666722152370421096592266119823249855851920672929570334675282844268207109519800447065457524424199416069326696909321961241299611961877744500364155894615125199374879836358724320835117473399863910023371396191721748303007184164327<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:05:01 UTC 2020 年 7 月 24 日 (金) 20 時 5 分 1 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:26:56 UTC 2020 年 7 月 24 日 (金) 20 時 26 分 56 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:27:32 UTC 2020 年 7 月 24 日 (金) 20 時 27 分 32 秒 (日本時間)

10268-8

c155

name 名前Eric Jeancolas
date 日付August 18, 2020 04:21:41 UTC 2020 年 8 月 18 日 (火) 13 時 21 分 41 秒 (日本時間)
composite number 合成数
16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207<155>
prime factors 素因数
1086718010436102264345022379325105816523420157263<49>
15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689<107>
factorization results 素因数分解の結果
16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207=1086718010436102264345022379325105816523420157263*15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689

n: 16699196261488902589202192543333109417966077416940135877458033458745566093439138995109097963706203900580450615521272327809210156151905133426948406784583207
skew: 3120199.709
c0: 58185472476205879108147364741257978836
c1: -76817183685332324009785437377993
c2: -36040140390537122015264496
c3: 9629023509069214703
c4: 1290487221930
c5: 213480
Y0: -859542540270069711579061383770
Y1: 49997502679645359347
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.076e+15) = 3.208e-08
# f(x) = 213480*x^5+1290487221930*x^4+9629023509069214703*x^3-36040140390537122015264496*x^2-76817183685332324009785437377993*x+58185472476205879108147364741257978836
# g(x) = 49997502679645359347*x-859542540270069711579061383770

Info:Square Root: Factors: 15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689 1086718010436102264345022379325105816523420157263
Info:Square Root: Total cpu/real time for sqrt: 3411.56/1172.87
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 99634.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 101090/47.370/55.723/60.580/0.857
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 81146/44.720/50.243/56.540/1.417
Info:Polynomial Selection (size optimized): Total time: 93726.4
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 15544.2
Info:Polynomial Selection (root optimized): Rootsieve time: 15539.6
Info:Generate Factor Base: Total cpu/real time for makefb: 27.84/7.38231
Info:Generate Free Relations: Total cpu/real time for freerel: 468.83/118.084
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49255814
Info:Lattice Sieving: Average J: 7821.14 for 1767168 special-q, max bucket fill -bkmult 1.0,1s:1.079620
Info:Lattice Sieving: Total time: 1.93725e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 111.41/262.214
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 261.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1037.94/933.413
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 826.9s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 849.41/814.169
Info:Filtering - Merging: Total cpu/real time for merge: 594.02/170.979
Info:Filtering - Merging: Total cpu/real time for replay: 159.95/136.902
Info:Linear Algebra: Total cpu/real time for bwc: 280999/71784.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 45107.5, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (119808 iterations)
Info:Linear Algebra: Lingen CPU time 848.38, WCT time 244.2
Info:Linear Algebra: Mksol: WCT time 25905.6, iteration CPU time 0.41, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (59904 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 145.01/59.8298
Info:Square Root: Total cpu/real time for sqrt: 3411.56/1172.87
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 4.07565e+06/666.22
15366632466859990086155665902521128205700163253450533605496471754099046977810405627253625395486083591883689 1086718010436102264345022379325105816523420157263
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 08:25:00 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 0 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 08:25:30 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 30 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:25:30 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 30 秒 (日本時間)
403e674Eric JeancolasJuly 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
4511e62100Eric JeancolasJuly 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
5043e64200 / 70721200Eric JeancolasJuly 23, 2020 08:25:58 UTC 2020 年 7 月 23 日 (木) 17 時 25 分 58 秒 (日本時間)
3000Eric JeancolasJuly 23, 2020 08:26:40 UTC 2020 年 7 月 23 日 (木) 17 時 26 分 40 秒 (日本時間)

10269-8

c182

composite cofactor 合成数の残り
26395182040256653810228739746277411839231760723675696780298999544008711195883885093739653840334666484892830702329956231846778733210986642278437509686657483510165081559451370118407151<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 23, 2020 08:22:15 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 15 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 08:22:37 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 37 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:22:37 UTC 2020 年 7 月 23 日 (木) 17 時 22 分 37 秒 (日本時間)
403e674Eric JeancolasJuly 23, 2020 08:23:16 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 16 秒 (日本時間)
4511e621742100Eric JeancolasJuly 23, 2020 08:23:16 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 16 秒 (日本時間)
74Eric JeancolasJuly 23, 2020 08:23:47 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 47 秒 (日本時間)
5043e63000 / 7056Eric JeancolasJuly 23, 2020 08:23:47 UTC 2020 年 7 月 23 日 (木) 17 時 23 分 47 秒 (日本時間)

10270-8

c163

name 名前Eric Jeancolas
date 日付July 30, 2020 02:46:52 UTC 2020 年 7 月 30 日 (木) 11 時 46 分 52 秒 (日本時間)
composite number 合成数
2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767<163>
prime factors 素因数
1562287592416308614973951362709748582277981572375663<52>
1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609<112>
factorization results 素因数分解の結果
2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767=1562287592416308614973951362709748582277981572375663*1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609

# Polynôme pour 99992_270
n: 2603898110041298512642198848006446912252959704511418359616544070295174199940156400886119446825896534311973480646240628603059037573378064462013411196470559260352767
skew: 0.13
type: snfs
c0: 1
c3: 500
c6: 250000
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 250000*x^6+500*x^3+1
# g(x) = -x+100000000000000000000000000000

Info:Square Root: Factors: 1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609 1562287592416308614973951362709748582277981572375663
Info:Square Root: Total cpu/real time for sqrt: 372.99/110.497
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.24/2.17136
Info:Generate Free Relations: Total cpu/real time for freerel: 196.3/49.6295
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22416931
Info:Lattice Sieving: Average J: 1893.73 for 1480374 special-q, max bucket fill -bkmult 1.0,1s:1.170530
Info:Lattice Sieving: Total time: 249158s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.33/93.0107
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 92.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 209.13/171.202
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 162.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 111/104.343
Info:Filtering - Merging: Total cpu/real time for merge: 147.6/42.6109
Info:Filtering - Merging: Total cpu/real time for replay: 40.09/33.6524
Info:Linear Algebra: Total cpu/real time for bwc: 20807.2/5343.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 3375.44, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Linear Algebra: Lingen CPU time 204.23, WCT time 59.94
Info:Linear Algebra: Mksol: WCT time 1853.26, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 39.29/15.5986
Info:Square Root: Total cpu/real time for sqrt: 372.99/110.497
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 497648/75726.1
Info:root: Cleaning up computation data in /tmp/cado.kkvu08dz
1666721365951569337712187808422793622098995996851606663262809946359681616856472370504201564316884566682072298609 1562287592416308614973951362709748582277981572375663
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374iveliveJuly 23, 2020 00:38:42 UTC 2020 年 7 月 23 日 (木) 9 時 38 分 42 秒 (日本時間)
255e4216iveliveJuly 23, 2020 00:39:06 UTC 2020 年 7 月 23 日 (木) 9 時 39 分 6 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJuly 23, 2020 00:39:06 UTC 2020 年 7 月 23 日 (木) 9 時 39 分 6 秒 (日本時間)
4511e642002100Eric JeancolasJuly 23, 2020 07:34:40 UTC 2020 年 7 月 23 日 (木) 16 時 34 分 40 秒 (日本時間)
2100Eric JeancolasJuly 23, 2020 07:35:15 UTC 2020 年 7 月 23 日 (木) 16 時 35 分 15 秒 (日本時間)
5043e63000 / 6522Eric JeancolasJuly 23, 2020 07:35:15 UTC 2020 年 7 月 23 日 (木) 16 時 35 分 15 秒 (日本時間)

10272-8

c241

composite cofactor 合成数の残り
1332836614885934286019596685232578277408383778344482244451790804474711996959256567849500261313350454941562870993352261996062155206934427690272841091102507535443897489874592395038006560222137412269939112174296890641445837372223240118676665383<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:06:40 UTC 2020 年 7 月 24 日 (金) 20 時 6 分 40 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:24:37 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 37 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:24:56 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 56 秒 (日本時間)

10274-8

c241

composite cofactor 合成数の残り
1100412030917108870599891678402423219806819913384450261546252806244921379392819335476988567953037443441278667231204367097942642177183473188479502327642452855964413649515746859466450506564545866972081158497934160891645398937523435292838931673<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:23:57 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 57 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:24:17 UTC 2020 年 7 月 24 日 (金) 20 時 24 分 17 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:25:21 UTC 2020 年 7 月 24 日 (金) 20 時 25 分 21 秒 (日本時間)

10275-8

c253

name 名前Ignacio Santos
date 日付December 14, 2021 13:29:02 UTC 2021 年 12 月 14 日 (火) 22 時 29 分 2 秒 (日本時間)
composite number 合成数
6876821504743910597150946261414658577953356782082083923673080943185685166018488732170519508230004426249854899160489096538823653124278616062901895007239344309510404637093973259312256508028523775547272260014582030593857648256068049640705643169179036131671<253>
prime factors 素因数
101830348156926312056471490240032595089<39>
composite cofactor 合成数の残り
67532141735844216591207116981502307448979632490838689322091028773916898572267926632103271363892144533588628080058608480519664941034188758084223467201554795965573191202685243609298434579431892290557328582654845268839<215>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2972670044
Step 1 took 11532ms
********** Factor found in step 2: 101830348156926312056471490240032595089
Found prime factor of 39 digits: 101830348156926312056471490240032595089
Composite cofactor 67532141735844216591207116981502307448979632490838689322091028773916898572267926632103271363892144533588628080058608480519664941034188758084223467201554795965573191202685243609298434579431892290557328582654845268839 has 215 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
2011e374Eric JeancolasJuly 24, 2020 11:07:17 UTC 2020 年 7 月 24 日 (金) 20 時 7 分 17 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:23:40 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 40 秒 (日本時間)
403e62350Ignacio SantosDecember 15, 2021 15:45:32 UTC 2021 年 12 月 16 日 (木) 0 時 45 分 32 秒 (日本時間)

10277-8

c241

composite cofactor 合成数の残り
2212271372756924929746694710515118952323466753327972411436481825577020078125038514257166021598504159060115481859714388314751990075783497544895113984996738049855458871089661670215312531210243200648073093574214796245194027708880784825328672869<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:07:45 UTC 2020 年 7 月 24 日 (金) 20 時 7 分 45 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:22:48 UTC 2020 年 7 月 24 日 (金) 20 時 22 分 48 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:23:19 UTC 2020 年 7 月 24 日 (金) 20 時 23 分 19 秒 (日本時間)

10278-8

c235

composite cofactor 合成数の残り
1682683477613497214292632757990564389672780957593905800846481098639915230725994977954753467797135519859849832790063326805232037626287450171755612616746992501089709099546494579862357966472375790128828987611955192926536242502295053479023<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:08:15 UTC 2020 年 7 月 24 日 (金) 20 時 8 分 15 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:21:50 UTC 2020 年 7 月 24 日 (金) 20 時 21 分 50 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:22:25 UTC 2020 年 7 月 24 日 (金) 20 時 22 分 25 秒 (日本時間)

10279-8

c175

name 名前Eric Jeancolas
date 日付July 31, 2020 03:16:08 UTC 2020 年 7 月 31 日 (金) 12 時 16 分 8 秒 (日本時間)
composite number 合成数
5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449<175>
prime factors 素因数
608455182966478674857874703718154637224334572464806531<54>
22974697399277989948569231995312857895208848437936864424749<59>
409182390250355578148746224440974370462453042256467105938889671<63>
factorization results 素因数分解の結果
5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449=608455182966478674857874703718154637224334572464806531*22974697399277989948569231995312857895208848437936864424749*409182390250355578148746224440974370462453042256467105938889671

n: 5719990794011610096264953664025158223245641002325510099308421197743362072181873982083894576048219563028332473769991683253962913056684771586637730657593736184000731037337358449
skew: 0.13
type: snfs
c0: 1
c3: 500
c6: 250000
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 250000*x^6+500*x^3+1
# g(x) = -x+1000000000000000000000000000000

Info:Square Root: Factors: 409182390250355578148746224440974370462453042256467105938889671 22974697399277989948569231995312857895208848437936864424749 608455182966478674857874703718154637224334572464806531
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.61/2.44101
Info:Generate Free Relations: Total cpu/real time for freerel: 196.5/49.6242
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 24029514
Info:Lattice Sieving: Average J: 1893.44 for 2016142 special-q, max bucket fill -bkmult 1.0,1s:1.183980
Info:Lattice Sieving: Total time: 342168s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.84/55.0522
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 54.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 368.18/224.517
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 193.50000000000003s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 276.67/165.46
Info:Filtering - Merging: Total cpu/real time for merge: 242.08/69.6665
Info:Filtering - Merging: Total cpu/real time for replay: 65.12/54.8209
Info:Linear Algebra: Total cpu/real time for bwc: 48680.4/12499.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 7939.67, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 337.91, WCT time 98.21
Info:Linear Algebra: Mksol: WCT time 4365.44, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 62.29/25.2516
Info:Square Root: Total cpu/real time for sqrt: 640.71/190.875
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 718153/102856
Info:root: Cleaning up computation data in /tmp/cado.ktadpj3x
409182390250355578148746224440974370462453042256467105938889671 22974697399277989948569231995312857895208848437936864424749 608455182966478674857874703718154637224334572464806531
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 07:36:01 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 1 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 07:36:21 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 21 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 07:36:21 UTC 2020 年 7 月 23 日 (木) 16 時 36 分 21 秒 (日本時間)
403e674Eric JeancolasJuly 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
4511e62100Eric JeancolasJuly 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
5043e642001200Eric JeancolasJuly 23, 2020 07:38:10 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 10 秒 (日本時間)
3000Eric JeancolasJuly 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)
5511e72100 / 13348Eric JeancolasJuly 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)
6026e71200 / 40699Eric JeancolasJuly 23, 2020 07:38:40 UTC 2020 年 7 月 23 日 (木) 16 時 38 分 40 秒 (日本時間)

10282-8

c179

name 名前Eric Jeancolas
date 日付August 7, 2020 04:55:31 UTC 2020 年 8 月 7 日 (金) 13 時 55 分 31 秒 (日本時間)
composite number 合成数
59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449<179>
prime factors 素因数
1000021101106568313943613933502275207711313220336493180200611799<64>
59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351<116>
factorization results 素因数分解の結果
59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449=1000021101106568313943613933502275207711313220336493180200611799*59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351

n: 59192325594707840520030246141886244288115197471197777946615336534095990617533383861954461596574378167631430148454186853015598842282401239161503393108908535211107736333013504570449
skew: 0.58
type: snfs
c0: 1
c3: 5
c6: 25
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 25*x^6+5*x^3+1
# g(x) = -x+10000000000000000000000000000000

Info:Square Root: Factors: 1000021101106568313943613933502275207711313220336493180200611799 59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.34/2.73124
Info:Generate Free Relations: Total cpu/real time for freerel: 187.2/47.5342
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 23557887
Info:Lattice Sieving: Average J: 1894.4 for 1707111 special-q, max bucket fill -bkmult 1.0,1s:1.151920
Info:Lattice Sieving: Total time: 338811s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.59/51.9376
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 51.599999999999994s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 335.29/201.188
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.60000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 238.29/142.887
Info:Filtering - Merging: Total cpu/real time for merge: 248.76/71.4258
Info:Filtering - Merging: Total cpu/real time for replay: 65.17/55.0647
Info:Linear Algebra: Total cpu/real time for bwc: 48945.6/12600.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 8012.08, iteration CPU time 0.14, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (53760 iterations)
Info:Linear Algebra: Lingen CPU time 341.18, WCT time 99.3
Info:Linear Algebra: Mksol: WCT time 4396.39, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (26880 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 61.93/25.119
Info:Square Root: Total cpu/real time for sqrt: 476.12/146.758
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 700934/352354
Info:root: Cleaning up computation data in /tmp/cado.jhwderll
1000021101106568313943613933502275207711313220336493180200611799 59191076597492663593833654852469312007825433681353259194384113104349910408932818389071977093005664849202721567971351
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 23, 2020 08:16:33 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 33 秒 (日本時間)
255e474Eric JeancolasJuly 23, 2020 08:16:53 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 53 秒 (日本時間)
3025e40--
351e61200Eric JeancolasJuly 23, 2020 08:16:53 UTC 2020 年 7 月 23 日 (木) 17 時 16 分 53 秒 (日本時間)
403e674Eric JeancolasJuly 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
4511e62100Eric JeancolasJuly 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
5043e642001200Eric JeancolasJuly 23, 2020 08:17:16 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 16 秒 (日本時間)
3000Eric JeancolasJuly 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)
5511e72100 / 13348Eric JeancolasJuly 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)
6026e71200 / 40699Eric JeancolasJuly 23, 2020 08:17:31 UTC 2020 年 7 月 23 日 (木) 17 時 17 分 31 秒 (日本時間)

10283-8

c268

composite cofactor 合成数の残り
5668468397960365397765273997157543620103919333477505022581256195577324135174483809157205977183989241863449845690321697646765461584261059650213817197277602970040970593222349097050241112931952025919445833543297141847804824942650640777300334071430343792957265579864407941<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:09:59 UTC 2020 年 7 月 24 日 (金) 20 時 9 分 59 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:20:14 UTC 2020 年 7 月 24 日 (金) 20 時 20 分 14 秒 (日本時間)
403e62350Ignacio SantosDecember 14, 2021 13:29:48 UTC 2021 年 12 月 14 日 (火) 22 時 29 分 48 秒 (日本時間)

10284-8

c267

composite cofactor 合成数の残り
258782757066354190407831809183269496829633897299547881499938312939091850600285015874925250037194371137300032697384512467616103532484733641534293290660144626022642972782443558370892275149159554397003683171932036835636118563983766430343871533162930698169236391764708839<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:10:16 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 16 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:19:52 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 52 秒 (日本時間)
403e62350Ignacio SantosDecember 14, 2021 14:16:06 UTC 2021 年 12 月 14 日 (火) 23 時 16 分 6 秒 (日本時間)

10286-8

c241

composite cofactor 合成数の残り
2135290269262478208310281899963411862432999161490383600772577754942548416941761167227922970628162440325404895039890654172155841038874886294041425154807053993978505604292885497987967438944206218792831381330006594548668566047667426471209502177<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:10:37 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 37 秒 (日本時間)
255e4216iveliveJuly 27, 2020 05:50:19 UTC 2020 年 7 月 27 日 (月) 14 時 50 分 19 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveJuly 27, 2020 05:50:19 UTC 2020 年 7 月 27 日 (月) 14 時 50 分 19 秒 (日本時間)
4511e64480iveliveJuly 28, 2020 13:13:08 UTC 2020 年 7 月 28 日 (火) 22 時 13 分 8 秒 (日本時間)

10287-8

c256

composite cofactor 合成数の残り
6702530195622853795222509945240525837954224714913360715077118746414624829768156824843376539837152177541788088888160842137723187409897703886989162817360910687772133889230841113340375615677127066188545006556377578118660129184880957362859824948488517295496521<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:10:54 UTC 2020 年 7 月 24 日 (金) 20 時 10 分 54 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:19:26 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 26 秒 (日本時間)
403e62350Ignacio SantosDecember 14, 2021 14:16:37 UTC 2021 年 12 月 14 日 (火) 23 時 16 分 37 秒 (日本時間)

10288-8

c191

name 名前Eric Jeancolas
date 日付August 4, 2020 07:02:39 UTC 2020 年 8 月 4 日 (火) 16 時 2 分 39 秒 (日本時間)
composite number 合成数
35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<191>
prime factors 素因数
2839677077102531261752115849004538801118331169<46>
3879166744617579942562806200690866812001476712823689<52>
3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023<94>
factorization results 素因数分解の結果
35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143=2839677077102531261752115849004538801118331169*3879166744617579942562806200690866812001476712823689*3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023

n: 35714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714357142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143
skew: 0.13
type: snfs
c0: 1
c3: 500
c6: 250000
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 250000*x^6+500*x^3+1
# g(x) = -x+10000000000000000000000000000000

Info:Square Root: Factors: 3879166744617579942562806200690866812001476712823689 2839677077102531261752115849004538801118331169 3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 7.72/2.83039
Info:Generate Free Relations: Total cpu/real time for freerel: 196.31/49.6011
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26377073
Info:Lattice Sieving: Average J: 1893.26 for 3272860 special-q, max bucket fill -bkmult 1.0,1s:1.185690
Info:Lattice Sieving: Total time: 674955s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.59/110.274
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 109.7s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 429.08/396.896
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 343.6000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 330.67/343.533
Info:Filtering - Merging: Total cpu/real time for merge: 310.03/89.444
Info:Filtering - Merging: Total cpu/real time for replay: 84.89/73.0439
Info:Linear Algebra: Total cpu/real time for bwc: 82666.8/21184.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13513.44, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (68608 iterations)
Info:Linear Algebra: Lingen CPU time 434.59, WCT time 126.35
Info:Linear Algebra: Mksol: WCT time 7329.58, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (34304 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 79.17/33.5318
Info:Square Root: Total cpu/real time for sqrt: 1559.88/451.029
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.34365e+06/151028
3879166744617579942562806200690866812001476712823689 2839677077102531261752115849004538801118331169 3242160907698279434061452354686848615533991879364536638379458019591429120575287052879005181023
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
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
2011e374Eric JeancolasJuly 24, 2020 11:11:14 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 14 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:18:41 UTC 2020 年 7 月 24 日 (金) 20 時 18 分 41 秒 (日本時間)
403e60--
4511e62100 / 4425Eric JeancolasJuly 24, 2020 11:19:06 UTC 2020 年 7 月 24 日 (金) 20 時 19 分 6 秒 (日本時間)

10289-8

c256

composite cofactor 合成数の残り
3678562940010534001297766284496061131802641362518924725786267245849255600216757906398656859163924850795765398991620078396889306791823440240686738069868129233245619507530523472472927697696618737851498731257613914915091332445231093927401145591106052656280529<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:11:31 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 31 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:18:12 UTC 2020 年 7 月 24 日 (金) 20 時 18 分 12 秒 (日本時間)
403e62350Ignacio SantosDecember 14, 2021 14:22:36 UTC 2021 年 12 月 14 日 (火) 23 時 22 分 36 秒 (日本時間)

10290-8

c254

name 名前Ignacio Santos
date 日付December 14, 2021 14:23:18 UTC 2021 年 12 月 14 日 (火) 23 時 23 分 18 秒 (日本時間)
composite number 合成数
58409463290636298691444673134490940660251191315095506688270346033852740810779167381852537765379864165222461916170925760732805709691497069602293656365728543264714803363987303118915510992016902076124198575081443427011688763287903492586744117161013949233489<254>
prime factors 素因数
305534933426586540128966899139329639<36>
composite cofactor 合成数の残り
191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151<219>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3803022280
Step 1 took 15156ms
Step 2 took 5782ms
********** Factor found in step 2: 305534933426586540128966899139329639
Found prime factor of 36 digits: 305534933426586540128966899139329639
Composite cofactor 191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151 has 219 digits
 
software ソフトウェア
GMP-ECM

c219

name 名前Ignacio Santos
date 日付December 15, 2021 16:31:09 UTC 2021 年 12 月 16 日 (木) 1 時 31 分 9 秒 (日本時間)
composite number 合成数
191171145752702723037921077890386437304449724788138200102883209176874775509970683236482964779268242408018891985820523340878509185121249243760328249498764988852477469652109490360071773616461231733996170396823384125622151<219>
prime factors 素因数
354309777726104014459217374541103439<36>
539559328505141783235120805596497415289634917965599502600493867284819744069625395659401072337351683011468681365112966830004131770636692760625274882702701437981610608691888744569460809<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1528190966
Step 1 took 11484ms
Step 2 took 5110ms
********** Factor found in step 2: 354309777726104014459217374541103439
Found prime factor of 36 digits: 354309777726104014459217374541103439
Prime cofactor 539559328505141783235120805596497415289634917965599502600493867284819744069625395659401072337351683011468681365112966830004131770636692760625274882702701437981610608691888744569460809 has 183 digits
 
execution environment 実行環境
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:11:48 UTC 2020 年 7 月 24 日 (金) 20 時 11 分 48 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:17:52 UTC 2020 年 7 月 24 日 (金) 20 時 17 分 52 秒 (日本時間)

10295-8

c295

name 名前ivelive
date 日付August 13, 2020 06:28:20 UTC 2020 年 8 月 13 日 (木) 15 時 28 分 20 秒 (日本時間)
composite number 合成数
1249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<295>
prime factors 素因数
88215873623921080079264313233171022065929<41>
composite cofactor 合成数の残り
14169785421260549963334879601594206082699380556041331867052145737254101077736387279750193564930198328704882068534390628879228007756644292798123447431885265590938668610593722686216900869124847523197275775455207053928300358120672637439932607047741508997831<254>
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 1249999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (295 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3267456817
Step 1 took 11078ms
Step 2 took 4359ms
********** Factor found in step 2: 88215873623921080079264313233171022065929
Found prime factor of 41 digits: 88215873623921080079264313233171022065929
Composite cofactor 14169785421260549963334879601594206082699380556041331867052145737254101077736387279750193564930198328704882068534390628879228007756644292798123447431885265590938668610593722686216900869124847523197275775455207053928300358120672637439932607047741508997831 has 254 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:12:23 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 23 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:17:34 UTC 2020 年 7 月 24 日 (金) 20 時 17 分 34 秒 (日本時間)
403e62352iveliveAugust 13, 2020 02:28:20 UTC 2020 年 8 月 13 日 (木) 11 時 28 分 20 秒 (日本時間)

10296-8

c256

name 名前Ignacio Santos
date 日付December 14, 2021 14:38:12 UTC 2021 年 12 月 14 日 (火) 23 時 38 分 12 秒 (日本時間)
composite number 合成数
1155228634171794764109326669867108753780293346111286416357612044836690446035889258856143556788403369632918982202941197021975724938917097165840752137208941928227304603285374406560763342749621291998045214280607458488754371867688822079264271776469629225300833<256>
prime factors 素因数
17127833472497571042575450350749428821964637497<47>
composite cofactor 合成数の残り
67447446638640162729758611107615883970989879910735063243498010237619506241345789648112518509655664920026204467957091951119231725371641152881917935051194348237969806174837967489544655724856053863104802187478889<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3957683837
Step 1 took 15359ms
Step 2 took 5844ms
********** Factor found in step 2: 17127833472497571042575450350749428821964637497
Found prime factor of 47 digits: 17127833472497571042575450350749428821964637497
Composite cofactor 67447446638640162729758611107615883970989879910735063243498010237619506241345789648112518509655664920026204467957091951119231725371641152881917935051194348237969806174837967489544655724856053863104802187478889 has 209 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
2011e374Eric JeancolasJuly 24, 2020 11:12:42 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 42 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:16:56 UTC 2020 年 7 月 24 日 (金) 20 時 16 分 56 秒 (日本時間)
403e62350Ignacio SantosDecember 15, 2021 16:31:25 UTC 2021 年 12 月 16 日 (木) 1 時 31 分 25 秒 (日本時間)

10298-8

c296

composite cofactor 合成数の残り
15822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481012658227848101265822784810126582278481<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Eric JeancolasJuly 24, 2020 11:12:59 UTC 2020 年 7 月 24 日 (金) 20 時 12 分 59 秒 (日本時間)
255e40--
3025e40--
351e61200Eric JeancolasJuly 24, 2020 11:16:12 UTC 2020 年 7 月 24 日 (金) 20 時 16 分 12 秒 (日本時間)
403e62400ebinaOctober 13, 2021 13:29:54 UTC 2021 年 10 月 13 日 (水) 22 時 29 分 54 秒 (日本時間)