Table of contents 目次

5×10200+6

c186

name 名前ebina
date 日付November 14, 2021 22:49:40 UTC 2021 年 11 月 15 日 (月) 7 時 49 分 40 秒 (日本時間)
composite number 合成数
151342664317289975160390016652630501537556810135546129655732778428821627589278248560893872952090546260878073274643232458671476941175566516330855735066861660669899602988081296589990574313<186>
prime factors 素因数
1113974380668727643377322526951990917958464651844818136180062411886776289778237<79>
135858298847445463816578796394770857310144473660559429567657279677758120667868584567460969299827405220741149<108>
factorization results 素因数分解の結果
Fri Jul 24 08:37:37 2020  Msieve v. 1.53 (SVN unknown)
Fri Jul 24 08:37:37 2020  random seeds: 0c426cd0 86405022
Fri Jul 24 08:37:37 2020  factoring 151342664317289975160390016652630501537556810135546129655732778428821627589278248560893872952090546260878073274643232458671476941175566516330855735066861660669899602988081296589990574313 (186 digits)
Fri Jul 24 08:37:38 2020  searching for 15-digit factors
Fri Jul 24 08:37:38 2020  commencing number field sieve (186-digit input)
Fri Jul 24 08:37:38 2020  R0: -10000000000000000000000000000000000000000
Fri Jul 24 08:37:38 2020  R1: 1
Fri Jul 24 08:37:38 2020  A0: 6
Fri Jul 24 08:37:38 2020  A1: 0
Fri Jul 24 08:37:38 2020  A2: 0
Fri Jul 24 08:37:38 2020  A3: 0
Fri Jul 24 08:37:38 2020  A4: 0
Fri Jul 24 08:37:38 2020  A5: 5
Fri Jul 24 08:37:38 2020  skew 1.04, size 1.209e-13, alpha -0.188, combined = 2.105e-11 rroots = 1
Fri Jul 24 08:37:38 2020  
Fri Jul 24 08:37:38 2020  commencing square root phase
Fri Jul 24 08:37:38 2020  reading relations for dependency 1
Fri Jul 24 08:37:39 2020  read 1544830 cycles
Fri Jul 24 08:37:41 2020  cycles contain 5401528 unique relations
Fri Jul 24 08:38:28 2020  read 5401528 relations
Fri Jul 24 08:38:49 2020  multiplying 5401528 relations
Fri Jul 24 08:41:09 2020  multiply complete, coefficients have about 140.33 million bits
Fri Jul 24 08:41:10 2020  initial square root is modulo 108751
Fri Jul 24 08:44:01 2020  GCD is N, no factor found
Fri Jul 24 08:44:01 2020  reading relations for dependency 2
Fri Jul 24 08:44:01 2020  read 1544403 cycles
Fri Jul 24 08:44:03 2020  cycles contain 5405344 unique relations
Fri Jul 24 08:44:50 2020  read 5405344 relations
Fri Jul 24 08:45:12 2020  multiplying 5405344 relations
Fri Jul 24 08:47:32 2020  multiply complete, coefficients have about 140.42 million bits
Fri Jul 24 08:47:33 2020  initial square root is modulo 109621
Fri Jul 24 08:50:24 2020  GCD is N, no factor found
Fri Jul 24 08:50:24 2020  reading relations for dependency 3
Fri Jul 24 08:50:25 2020  read 1544879 cycles
Fri Jul 24 08:50:27 2020  cycles contain 5406464 unique relations
Fri Jul 24 08:51:13 2020  read 5406464 relations
Fri Jul 24 08:51:35 2020  multiplying 5406464 relations
Fri Jul 24 08:53:56 2020  multiply complete, coefficients have about 140.46 million bits
Fri Jul 24 08:53:57 2020  initial square root is modulo 109831
Fri Jul 24 08:56:47 2020  sqrtTime: 1149
Fri Jul 24 08:56:47 2020  p79 factor: 1113974380668727643377322526951990917958464651844818136180062411886776289778237
Fri Jul 24 08:56:47 2020  p108 factor: 135858298847445463816578796394770857310144473660559429567657279677758120667868584567460969299827405220741149
Fri Jul 24 08:56:47 2020  elapsed time 00:19:10
Fri Jul 24 08:56:47 2020 -> Computing 1.59555e+09 scale for this machine...
Fri Jul 24 08:56:47 2020 -> procrels -speedtest> PIPE
Fri Jul 24 08:56:49 2020 -> Factorization summary written to s201-1940.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10201+6

c171

name 名前Ignacio Santos
date 日付December 2, 2021 19:08:40 UTC 2021 年 12 月 3 日 (金) 4 時 8 分 40 秒 (日本時間)
composite number 合成数
406191456140857160623816118630235636362889947642633288567787186823422486799268447006305394829048201418584084824839779224631153066709053432612448872845001500663853827431477<171>
prime factors 素因数
6277290198028855735525805342317589002483<40>
64708089530161619764891048176614082127960934577352525787812082926129280992166720971397944344171039324803130079105766430415131992119<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3354376019
Step 1 took 25828ms
********** Factor found in step 1: 6277290198028855735525805342317589002483
Found prime factor of 40 digits: 6277290198028855735525805342317589002483
Prime cofactor 64708089530161619764891048176614082127960934577352525787812082926129280992166720971397944344171039324803130079105766430415131992119 has 131 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 15, 2021 17:47:17 UTC 2021 年 11 月 16 日 (火) 2 時 47 分 17 秒 (日本時間)

5×10202+6

c189

name 名前ebina
date 日付November 15, 2021 02:21:08 UTC 2021 年 11 月 15 日 (月) 11 時 21 分 8 秒 (日本時間)
composite number 合成数
296661870483251644178719475869895520752191932766140448056326741609662196214106058707564218333349514204197303722931191899819752690899432341585935575051905694596516754231088338205800544836581<189>
prime factors 素因数
2333690895846024889670103125083987445719654734341502973<55>
127121321427490868383967705218933009835690678159729477743895235359991166870413200826565067326289925972782896744627968061752831630783497<135>
factorization results 素因数分解の結果
07/19/17 07:40:12 v1.34.5 @ user, nfs: commencing snfs on c189: 296661870483251644178719475869895520752191932766140448056326741609662196214106058707564218333349514204197303722931191899819752690899432341585935575051905694596516754231088338205800544836581
skew: 2.0645
c5: 2
c0: 75
Y1: -1
Y0: 50000000000000000000000000000000000000000
m: 50000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
07/23/17 20:18:46 v1.34.5 @ user, prp135 = 127121321427490868383967705218933009835690678159729477743895235359991166870413200826565067326289925972782896744627968061752831630783497
07/23/17 20:18:46 v1.34.5 @ user, prp55 = 2333690895846024889670103125083987445719654734341502973
07/23/17 20:18:47 v1.34.5 @ user, NFS elapsed time = 391114.6867 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10204+6

c99

name 名前Bob Backstrom
date 日付November 14, 2021 17:30:35 UTC 2021 年 11 月 15 日 (月) 2 時 30 分 35 秒 (日本時間)
composite number 合成数
475091270752878203025782800042072078021733158644079492986669382348566257383875560422529354424495271<99>
prime factors 素因数
2104066493020040338052948743013896739<37>
225796700022993598817830587023669186232941528307722023665244589<63>
factorization results 素因数分解の結果
CADO

STA:Mon 15 Nov 2021 04:14:56 AEDT (475,091,270,752,878,203,025,782,800,042,072,078,021,733,158,644,079,492,986,669,382,348,566,257,383,875,560,422,529,354,424,495,271 - C99)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 475091270752878203025782800042072078021733158644079492986669382348566257383875560422529354424495271 2>&1 | tee -a log61

Debug:root: Looking for parameter file for c99 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c100
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.vyxn70st
Info:Database: Opened connection to database /tmp/cado.vyxn70st/c100.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 4750912707528782030257828000420720780217331586440794929866693823485662573838755604225
29354424495271
Debug:root: Root parameter dictionary:
N = 475091270752878203025782800042072078021733158644079492986669382348566257383875560422529354424495271
lim0 = 919082
lim1 = 1051872
lpb0 = 24
lpb1 = 25
name = c100
...
n: 475091270752878203025782800042072078021733158644079492986669382348566257383875560422529354424495271
skew: 3007213.768
c0: 16300759735945701226346837847
c1: 184244648168158738370
c2: -13329795904887583
c3: -24994798
c4: 300
Y0: -1121798283342152323105648
Y1: 97431043830413
# MurphyE (Bf=1.05e+06,Bg=9.19e+05,area=2.21e+12) = 9.81e-09
# f(x) = 300*x^4-24994798*x^3-13329795904887583*x^2+184244648168158738370*x+16300759735945701226346837847
# g(x) = 97431043830413*x-1121798283342152323105648
...
Info:Square Root: finished
Info:Square Root: Factors: 2104066493020040338052948743013896739 225796700022993598817830587023669186232941528307722023665244589
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Square Root: Total cpu/real time for sqrt: 78.89/11.8583
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 2890.72
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2964/32.370/37.561/38.380/0.694
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2964/32.370/36.239/38.360/0.997
Info:Polynomial Selection (size optimized): Total time: 54.91
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 28.77
Info:Polynomial Selection (root optimized): Rootsieve time: 28.55
Info:Generate Factor Base: Total cpu/real time for makefb: 1.1/0.124014
Info:Generate Free Relations: Total cpu/real time for freerel: 26/1.70241
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 2709100
Info:Lattice Sieving: Average J: 1024 for 93291 special-q, max bucket fill: 0.807028
Info:Lattice Sieving: Total CPU time: 7389.36s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 6.16/4.93865
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.9s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 27.45/8.64424
Info:Filtering - Singleton removal: Total cpu/real time for purge: 19.75/8.63857
Info:Filtering - Merging: Total cpu/real time for merge: 55.7/43.0663
Info:Filtering - Merging: Total cpu/real time for replay: 5.89/4.613
Info:Linear Algebra: Total cpu/real time for bwc: 825/0.000310898
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 32.6
Info:Linear Algebra: Lingen CPU time 33.18, WCT time 3.52
Info:Linear Algebra: Mksol: WCT time 18.26
Info:Quadratic Characters: Total cpu/real time for characters: 5.78/1.3231
Info:Square Root: Total cpu/real time for sqrt: 78.89/11.8583
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 8524.76/708.497
Info:root: Cleaning up computation data in /tmp/cado.vyxn70st
2104066493020040338052948743013896739 225796700022993598817830587023669186232941528307722023665244589

END:Mon 15 Nov 2021 04:26:45 AEDT (475,091,270,752,878,203,025,782,800,042,072,078,021,733,158,644,079,492,986,669,382,348,566,257,383,875,560,422,529,354,424,495,271 - C99)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10205+6

c104

name 名前Bob Backstrom
date 日付November 14, 2021 18:12:33 UTC 2021 年 11 月 15 日 (月) 3 時 12 分 33 秒 (日本時間)
composite number 合成数
31599390391580916007114856920309675111523245581079705555984134234458615274534249101787301525266011664373<104>
prime factors 素因数
16937371498471294450549470446143959710160763853137<50>
1865660819592518358318961297522106858542067877886608229<55>
factorization results 素因数分解の結果
CADO

STA:Mon 15 Nov 2021 04:46:09 AEDT (31,599,390,391,580,916,007,114,856,920,309,675,111,523,245,581,079,705,555,984,134,234,458,615,274,534,249,101,787,301,525,266,011,664,373 - C104)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 31599390391580916007114856920309675111523245581079705555984134234458615274534249101787301525266011664373 2>&1 | tee -a log62

Debug:root: Looking for parameter file for c104 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c105
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.uar134i_
Info:Database: Opened connection to database /tmp/cado.uar134i_/c105.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 3159939039158091600711485692030967511152324558107970555598413423445861527453424910178
7301525266011664373
Debug:root: Root parameter dictionary:
N = 31599390391580916007114856920309675111523245581079705555984134234458615274534249101787301525266011664373
lim0 = 823116
lim1 = 1218966
lpb0 = 24
lpb1 = 24
name = c105
...
n: 31599390391580916007114856920309675111523245581079705555984134234458615274534249101787301525266011664373
skew: 353644.059
c0: 2854704879900596804645927454
c1: -2263830528876380250631
c2: 6991431727453939
c3: -27854833046
c4: -240240
Y0: -4027309050022585727183555
Y1: 283829524365973
# MurphyE (Bf=1.22e+06,Bg=8.23e+05,area=2.56e+12) = 5.19e-09
# f(x) = -240240*x^4-27854833046*x^3+6991431727453939*x^2-2263830528876380250631*x+2854704879900596804645927454
# g(x) = 283829524365973*x-4027309050022585727183555
...
Info:Square Root: finished
Info:Square Root: Factors: 16937371498471294450549470446143959710160763853137 1865660819592518358318961297522106858542067877886608229
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11429.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11459/34.840/39.389/41.090/0.682
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11459/33.820/38.232/40.220/1.009
Info:Polynomial Selection (size optimized): Total time: 230.68
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 81.17
Info:Polynomial Selection (root optimized): Rootsieve time: 80.83
Info:Generate Factor Base: Total cpu/real time for makefb: 1.18/0.134998
Info:Generate Free Relations: Total cpu/real time for freerel: 13.11/0.871125
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 1917922
Info:Lattice Sieving: Average J: 981.517 for 168594 special-q, max bucket fill: 0.822691
Info:Lattice Sieving: Total CPU time: 12017.2s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 5.03/4.29071
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 4.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 28.62/14.1215
Info:Filtering - Singleton removal: Total cpu/real time for purge: 21.58/11.9969
Info:Filtering - Merging: Total cpu/real time for merge: 80.25/62.3835
Info:Filtering - Merging: Total cpu/real time for replay: 8.58/6.68379
Info:Linear Algebra: Total cpu/real time for bwc: 1475.28/0.000262022
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 61.71
Info:Linear Algebra: Lingen CPU time 48.75, WCT time 5.11
Info:Linear Algebra: Mksol: WCT time 35.37
Info:Quadratic Characters: Total cpu/real time for characters: 7.43/1.80805
Info:Square Root: Total cpu/real time for sqrt: 132.22/19.8211
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 14102.3/1117.02
Info:root: Cleaning up computation data in /tmp/cado.uar134i_
16937371498471294450549470446143959710160763853137 1865660819592518358318961297522106858542067877886608229

END:Mon 15 Nov 2021 05:04:47 AEDT (31,599,390,391,580,916,007,114,856,920,309,675,111,523,245,581,079,705,555,984,134,234,458,615,274,534,249,101,787,301,525,266,011,664,373 - C104)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10208+6

c155

name 名前ebina
date 日付November 14, 2021 22:46:03 UTC 2021 年 11 月 15 日 (月) 7 時 46 分 3 秒 (日本時間)
composite number 合成数
25744865110783070240319213340345534689844319313742456411715656500294748825615848420653795603331843091786593486752297633168179006632668260806990972963770173<155>
prime factors 素因数
8378090620163749919559365359112809739174949097767014230115222627991854077<73>
3072879761985659499404944348355926563300832339560229277291784506199740385302365249<82>
factorization results 素因数分解の結果
Wed Oct  4 01:02:38 2017  Msieve v. 1.53 (SVN unknown)
Wed Oct  4 01:02:38 2017  random seeds: ddb13d94 45926c0f
Wed Oct  4 01:02:38 2017  factoring 25744865110783070240319213340345534689844319313742456411715656500294748825615848420653795603331843091786593486752297633168179006632668260806990972963770173 (155 digits)
Wed Oct  4 01:02:39 2017  searching for 15-digit factors
Wed Oct  4 01:02:40 2017  commencing number field sieve (155-digit input)
Wed Oct  4 01:02:40 2017  R0: -100000000000000000000000000000000000000000
Wed Oct  4 01:02:40 2017  R1: 1
Wed Oct  4 01:02:40 2017  A0: 3
Wed Oct  4 01:02:40 2017  A1: 0
Wed Oct  4 01:02:40 2017  A2: 0
Wed Oct  4 01:02:40 2017  A3: 0
Wed Oct  4 01:02:40 2017  A4: 0
Wed Oct  4 01:02:40 2017  A5: 2500
Wed Oct  4 01:02:40 2017  skew 0.26, size 2.298e-14, alpha -0.961, combined = 7.759e-12 rroots = 1
Wed Oct  4 01:02:40 2017  
Wed Oct  4 01:02:40 2017  commencing square root phase
Wed Oct  4 01:02:40 2017  reading relations for dependency 1
Wed Oct  4 01:02:41 2017  read 1886324 cycles
Wed Oct  4 01:02:44 2017  cycles contain 6220554 unique relations
Wed Oct  4 01:04:07 2017  read 6220554 relations
Wed Oct  4 01:04:34 2017  multiplying 6220554 relations
Wed Oct  4 01:08:35 2017  multiply complete, coefficients have about 213.25 million bits
Wed Oct  4 01:08:36 2017  initial square root is modulo 44959141
Wed Oct  4 01:14:28 2017  sqrtTime: 708
Wed Oct  4 01:14:28 2017  p73 factor: 8378090620163749919559365359112809739174949097767014230115222627991854077
Wed Oct  4 01:14:28 2017  p82 factor: 3072879761985659499404944348355926563300832339560229277291784506199740385302365249
Wed Oct  4 01:14:28 2017  elapsed time 00:11:50

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10209+6

c195

name 名前ebina
date 日付November 14, 2021 23:41:52 UTC 2021 年 11 月 15 日 (月) 8 時 41 分 52 秒 (日本時間)
composite number 合成数
328848815287927374016148403219444191153216757269017872764550524143265776978483282970748584462042540783293594099021913909739430927425520774073553993444070679166596662818476077591695038708539573891<195>
prime factors 素因数
17218014469456549160242759538972295879541343670022529697533956468861<68>
19099113656297606966250988229612102015435634928763240804242624889306618323194983540734013372368828659979977147357638463270847231<128>
factorization results 素因数分解の結果
Tue Nov 08 15:23:51 2016  Msieve v. 1.50 (SVN Official Release)
Tue Nov 08 15:23:51 2016  random seeds: 04e00028 3b4d95ce
Tue Nov 08 15:23:51 2016  factoring 328848815287927374016148403219444191153216757269017872764550524143265776978483282970748584462042540783293594099021913909739430927425520774073553993444070679166596662818476077591695038708539573891 (195 digits)
Tue Nov 08 15:23:53 2016  searching for 15-digit factors
Tue Nov 08 15:23:53 2016  commencing number field sieve (195-digit input)
Tue Nov 08 15:23:53 2016  R0: -50000000000000000000000000000000000
Tue Nov 08 15:23:53 2016  R1: 1
Tue Nov 08 15:23:53 2016  A0: 3
Tue Nov 08 15:23:53 2016  A1: 0
Tue Nov 08 15:23:53 2016  A2: 0
Tue Nov 08 15:23:53 2016  A3: 0
Tue Nov 08 15:23:53 2016  A4: 0
Tue Nov 08 15:23:53 2016  A5: 0
Tue Nov 08 15:23:53 2016  A6: 16
Tue Nov 08 15:23:53 2016  skew 0.76, size 2.441e-010, alpha 0.891, combined = 6.298e-012 rroots = 0
Tue Nov 08 15:23:53 2016  
Tue Nov 08 15:23:53 2016  commencing square root phase
Tue Nov 08 15:23:53 2016  reading relations for dependency 1
Tue Nov 08 15:23:54 2016  read 2082856 cycles
Tue Nov 08 15:23:57 2016  cycles contain 6733034 unique relations
Tue Nov 08 15:24:35 2016  read 6733034 relations
Tue Nov 08 15:25:14 2016  multiplying 6733034 relations
Tue Nov 08 15:30:57 2016  multiply complete, coefficients have about 185.66 million bits
Tue Nov 08 15:30:58 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 15:30:58 2016  initial square root is modulo 53
Tue Nov 08 15:38:18 2016  Newton iteration failed to converge
Tue Nov 08 15:38:18 2016  algebraic square root failed
Tue Nov 08 15:38:18 2016  reading relations for dependency 2
Tue Nov 08 15:38:19 2016  read 2084858 cycles
Tue Nov 08 15:38:22 2016  cycles contain 6738342 unique relations
Tue Nov 08 15:38:59 2016  read 6738342 relations
Tue Nov 08 15:39:39 2016  multiplying 6738342 relations
Tue Nov 08 15:45:26 2016  multiply complete, coefficients have about 185.81 million bits
Tue Nov 08 15:45:27 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 15:45:28 2016  initial square root is modulo 53
Tue Nov 08 15:52:53 2016  GCD is 1, no factor found
Tue Nov 08 15:52:53 2016  reading relations for dependency 3
Tue Nov 08 15:52:54 2016  read 2081873 cycles
Tue Nov 08 15:52:57 2016  cycles contain 6730284 unique relations
Tue Nov 08 15:53:34 2016  read 6730284 relations
Tue Nov 08 15:54:14 2016  multiplying 6730284 relations
Tue Nov 08 15:59:58 2016  multiply complete, coefficients have about 185.58 million bits
Tue Nov 08 15:59:59 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 15:59:59 2016  initial square root is modulo 53
Tue Nov 08 16:07:19 2016  GCD is N, no factor found
Tue Nov 08 16:07:19 2016  reading relations for dependency 4
Tue Nov 08 16:07:20 2016  read 2084794 cycles
Tue Nov 08 16:07:23 2016  cycles contain 6737304 unique relations
Tue Nov 08 16:08:00 2016  read 6737304 relations
Tue Nov 08 16:08:40 2016  multiplying 6737304 relations
Tue Nov 08 16:14:27 2016  multiply complete, coefficients have about 185.77 million bits
Tue Nov 08 16:14:29 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 16:14:29 2016  initial square root is modulo 53
Tue Nov 08 16:21:53 2016  Newton iteration failed to converge
Tue Nov 08 16:21:53 2016  algebraic square root failed
Tue Nov 08 16:21:53 2016  reading relations for dependency 5
Tue Nov 08 16:21:54 2016  read 2083483 cycles
Tue Nov 08 16:21:57 2016  cycles contain 6731992 unique relations
Tue Nov 08 16:22:34 2016  read 6731992 relations
Tue Nov 08 16:23:14 2016  multiplying 6731992 relations
Tue Nov 08 16:29:01 2016  multiply complete, coefficients have about 185.63 million bits
Tue Nov 08 16:29:03 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 16:29:03 2016  initial square root is modulo 53
Tue Nov 08 16:36:30 2016  GCD is N, no factor found
Tue Nov 08 16:36:30 2016  reading relations for dependency 6
Tue Nov 08 16:36:31 2016  read 2083451 cycles
Tue Nov 08 16:36:35 2016  cycles contain 6729108 unique relations
Tue Nov 08 16:37:12 2016  read 6729108 relations
Tue Nov 08 16:37:51 2016  multiplying 6729108 relations
Tue Nov 08 16:43:42 2016  multiply complete, coefficients have about 185.55 million bits
Tue Nov 08 16:43:44 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 16:43:44 2016  initial square root is modulo 53
Tue Nov 08 16:51:11 2016  Newton iteration failed to converge
Tue Nov 08 16:51:11 2016  algebraic square root failed
Tue Nov 08 16:51:11 2016  reading relations for dependency 7
Tue Nov 08 16:51:12 2016  read 2085187 cycles
Tue Nov 08 16:51:16 2016  cycles contain 6734396 unique relations
Tue Nov 08 16:51:53 2016  read 6734396 relations
Tue Nov 08 16:52:33 2016  multiplying 6734396 relations
Tue Nov 08 16:58:23 2016  multiply complete, coefficients have about 185.70 million bits
Tue Nov 08 16:58:25 2016  warning: no irreducible prime found, switching to small primes
Tue Nov 08 16:58:25 2016  initial square root is modulo 53
Tue Nov 08 17:05:50 2016  sqrtTime: 6117
Tue Nov 08 17:05:50 2016  prp68 factor: 17218014469456549160242759538972295879541343670022529697533956468861
Tue Nov 08 17:05:50 2016  prp128 factor: 19099113656297606966250988229612102015435634928763240804242624889306618323194983540734013372368828659979977147357638463270847231
Tue Nov 08 17:05:50 2016  elapsed time 01:41:59

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10211+6

c190

name 名前ebina
date 日付February 11, 2022 14:10:36 UTC 2022 年 2 月 11 日 (金) 23 時 10 分 36 秒 (日本時間)
composite number 合成数
2978477018633478440062428712587543999267187453346412717122644724636331832287111985320230139432146816750224935090120212536617162473928372312935977604843360029595281615489671744084373191415843<190>
prime factors 素因数
24415379600540576732185312401172106263<38>
121991837414132708845526813841178676515842589704365434741886502121933103024596754998929889112344776747748514221408540821044138663804497320139905444552661<153>
factorization results 素因数分解の結果
Input number is 2978477018633478440062428712587543999267187453346412717122644724636331832287111985320230139432146816750224935090120212536617162473928372312935977604843360029595281615489671744084373191415843 (190 digits)
Using B1=5000000, B2=11416314010, polynomial Dickson(12), sigma=1:890902624
Step 1 took 24555ms
Step 2 took 15756ms
********** Factor found in step 2: 24415379600540576732185312401172106263
Found probable prime factor of 38 digits: 24415379600540576732185312401172106263
Probable prime cofactor 121991837414132708845526813841178676515842589704365434741886502121933103024596754998929889112344776747748514221408540821044138663804497320139905444552661 has 153 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10212+6

c162

name 名前ebina
date 日付November 14, 2021 23:47:49 UTC 2021 年 11 月 15 日 (月) 8 時 47 分 49 秒 (日本時間)
composite number 合成数
263638314581128530163774162693104761773209955889924032418265442983184924393074203935644411012855231323664111117224617114400107998651537816141461977982248618508777<162>
prime factors 素因数
5545573662840420901503289303250018526952585141779187<52>
47540314241555674860159540182580112563225600695316046859823972036391713540756364062322945371183080326738939571<110>
factorization results 素因数分解の結果
Tue Dec 11 09:28:41 2018  Msieve v. 1.53 (SVN unknown)
Tue Dec 11 09:28:41 2018  random seeds: 0c82a540 4d4cbacc
Tue Dec 11 09:28:41 2018  factoring 263638314581128530163774162693104761773209955889924032418265442983184924393074203935644411012855231323664111117224617114400107998651537816141461977982248618508777 (162 digits)
Tue Dec 11 09:28:42 2018  searching for 15-digit factors
Tue Dec 11 09:28:43 2018  commencing number field sieve (162-digit input)
Tue Dec 11 09:28:43 2018  R0: -1000000000000000000000000000000000000000000
Tue Dec 11 09:28:43 2018  R1: 1
Tue Dec 11 09:28:43 2018  A0: 3
Tue Dec 11 09:28:43 2018  A1: 0
Tue Dec 11 09:28:43 2018  A2: 0
Tue Dec 11 09:28:43 2018  A3: 0
Tue Dec 11 09:28:43 2018  A4: 0
Tue Dec 11 09:28:43 2018  A5: 250
Tue Dec 11 09:28:43 2018  skew 0.41, size 1.269e-14, alpha -0.101, combined = 5.267e-12 rroots = 1
Tue Dec 11 09:28:43 2018  
Tue Dec 11 09:28:43 2018  commencing square root phase
Tue Dec 11 09:28:43 2018  reading relations for dependency 1
Tue Dec 11 09:28:44 2018  read 2304833 cycles
Tue Dec 11 09:28:49 2018  cycles contain 7537084 unique relations
Tue Dec 11 09:30:42 2018  read 7537084 relations
Tue Dec 11 09:31:32 2018  multiplying 7537084 relations
Tue Dec 11 09:37:42 2018  multiply complete, coefficients have about 237.20 million bits
Tue Dec 11 09:37:44 2018  initial square root is modulo 325415591
Tue Dec 11 09:46:02 2018  GCD is N, no factor found
Tue Dec 11 09:46:02 2018  reading relations for dependency 2
Tue Dec 11 09:46:03 2018  read 2301705 cycles
Tue Dec 11 09:46:08 2018  cycles contain 7529936 unique relations
Tue Dec 11 09:48:00 2018  read 7529936 relations
Tue Dec 11 09:48:50 2018  multiplying 7529936 relations
Tue Dec 11 09:54:57 2018  multiply complete, coefficients have about 236.98 million bits
Tue Dec 11 09:54:59 2018  initial square root is modulo 319537201
Tue Dec 11 10:03:30 2018  GCD is 1, no factor found
Tue Dec 11 10:03:30 2018  reading relations for dependency 3
Tue Dec 11 10:03:31 2018  read 2303434 cycles
Tue Dec 11 10:03:36 2018  cycles contain 7534792 unique relations
Tue Dec 11 10:05:28 2018  read 7534792 relations
Tue Dec 11 10:06:19 2018  multiplying 7534792 relations
Tue Dec 11 10:12:31 2018  multiply complete, coefficients have about 237.13 million bits
Tue Dec 11 10:12:33 2018  initial square root is modulo 323534671
Tue Dec 11 10:20:57 2018  sqrtTime: 3134
Tue Dec 11 10:20:57 2018  p52 factor: 5545573662840420901503289303250018526952585141779187
Tue Dec 11 10:20:57 2018  p110 factor: 47540314241555674860159540182580112563225600695316046859823972036391713540756364062322945371183080326738939571
Tue Dec 11 10:20:57 2018  elapsed time 00:52:16
Tue Dec 11 10:20:57 2018 -> Computing 1.54449e+09 scale for this machine...
Tue Dec 11 10:20:57 2018 -> procrels -speedtest> PIPE
Tue Dec 11 10:21:01 2018 -> Factorization summary written to s213-1506.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10213+6

c158

name 名前Dmitry Domanov
date 日付August 19, 2023 16:27:46 UTC 2023 年 8 月 20 日 (日) 1 時 27 分 46 秒 (日本時間)
composite number 合成数
47730075467196411807997045228551855195737604805936548565440952780308752082194921524426402452587208716753567007612776830825467276703809079152517093289374231909<158>
prime factors 素因数
31206271915952350067610621349501238044891<41>
1529502645998455527450972409926272668636543575647561241006115052987688089687518515472076339390650249275591221724804799<118>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4644e6fd51f8 with GMP-ECM 7.0.5-dev on Fri Aug 18 14:18:46 2023 
Input number is 47730075467196411807997045228551855195737604805936548565440952780308752082194921524426402452587208716753567007612776830825467276703809079152517093289374231909 (158 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1452907522
Step 1 took 0ms
Step 2 took 4189ms
********** Factor found in step 2: 31206271915952350067610621349501238044891
Found prime factor of 41 digits: 31206271915952350067610621349501238044891
Prime cofactor 1529502645998455527450972409926272668636543575647561241006115052987688089687518515472076339390650249275591221724804799 has 118 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 07:47:47 UTC 2022 年 2 月 17 日 (木) 16 時 47 分 47 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:12:23 UTC 2023 年 8 月 18 日 (金) 20 時 12 分 23 秒 (日本時間)

5×10216+6

c158

name 名前ebina
date 日付November 14, 2021 22:23:23 UTC 2021 年 11 月 15 日 (月) 7 時 23 分 23 秒 (日本時間)
composite number 合成数
97719249542161309329601568388167564958495740536961342774861275177925813344539043575056925736906864674172338592853248993854248297309671158218000983582925740103<158>
prime factors 素因数
708838323801487665161174510121087145188138671947<48>
137858304582199597956749253455239878940561796281157110670397671045243550371336628995744885465050503826544460149<111>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2464165595 5e7      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 97719249542161309329601568388167564958495740536961342774861275177925813344539043575056925736906864674172338592853248993854248297309671158218000983582925740103 (158 digits)
Using B1=50000000, B2=288591693406, polynomial Dickson(12), sigma=1:2464165595
Step 1 took 110406ms
Step 2 took 52282ms
********** Factor found in step 2: 708838323801487665161174510121087145188138671947
Found probable prime factor of 48 digits: 708838323801487665161174510121087145188138671947
Probable prime cofactor 137858304582199597956749253455239878940561796281157110670397671045243550371336628995744885465050503826544460149 has 111 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10217+6

c174

name 名前ebina
date 日付November 14, 2021 22:43:56 UTC 2021 年 11 月 15 日 (月) 7 時 43 分 56 秒 (日本時間)
composite number 合成数
340228294705836009328550691492173241788166370734152655498215610274941380070037201806081925575884753339222120946327330172785569930636331832906012839433057532484842634848714269<174>
prime factors 素因数
271786304838875033438717901028405901369674991667856804610072629<63>
1251822805816267736729218805960920590050366641343282488641501035275466126801687533155609678002073525257585849161<112>
factorization results 素因数分解の結果
Tue Dec 31 20:56:46 2019  Msieve v. 1.53 (SVN unknown)
Tue Dec 31 20:56:46 2019  random seeds: b0319928 8bf6d3fa
Tue Dec 31 20:56:46 2019  factoring 340228294705836009328550691492173241788166370734152655498215610274941380070037201806081925575884753339222120946327330172785569930636331832906012839433057532484842634848714269 (174 digits)
Tue Dec 31 20:56:47 2019  searching for 15-digit factors
Tue Dec 31 20:56:47 2019  commencing number field sieve (174-digit input)
Tue Dec 31 20:56:47 2019  R0: -10000000000000000000000000000000000000000000
Tue Dec 31 20:56:47 2019  R1: 1
Tue Dec 31 20:56:47 2019  A0: 3
Tue Dec 31 20:56:47 2019  A1: 0
Tue Dec 31 20:56:47 2019  A2: 0
Tue Dec 31 20:56:47 2019  A3: 0
Tue Dec 31 20:56:47 2019  A4: 0
Tue Dec 31 20:56:47 2019  A5: 250
Tue Dec 31 20:56:47 2019  skew 0.41, size 5.892e-15, alpha -0.101, combined = 3.216e-12 rroots = 1
Tue Dec 31 20:56:47 2019  
Tue Dec 31 20:56:47 2019  commencing square root phase
Tue Dec 31 20:56:47 2019  reading relations for dependency 1
Tue Dec 31 20:56:48 2019  read 2549696 cycles
Tue Dec 31 20:56:51 2019  cycles contain 7958064 unique relations
Tue Dec 31 20:57:45 2019  read 7958064 relations
Tue Dec 31 20:58:17 2019  multiplying 7958064 relations
Tue Dec 31 21:00:41 2019  multiply complete, coefficients have about 252.08 million bits
Tue Dec 31 21:00:42 2019  initial square root is modulo 1112578771
Tue Dec 31 21:03:51 2019  sqrtTime: 424
Tue Dec 31 21:03:51 2019  p63 factor: 271786304838875033438717901028405901369674991667856804610072629
Tue Dec 31 21:03:51 2019  p112 factor: 1251822805816267736729218805960920590050366641343282488641501035275466126801687533155609678002073525257585849161
Tue Dec 31 21:03:51 2019  elapsed time 00:07:05

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10219+6

c146

name 名前ebina
date 日付November 14, 2021 21:57:41 UTC 2021 年 11 月 15 日 (月) 6 時 57 分 41 秒 (日本時間)
composite number 合成数
64699084774232251240992565552777835324729667043036710876657286227491857001674590011216194651854435462744781904602088124320001535742408774634232417<146>
prime factors 素因数
119640362298112474679274523033927057987<39>
540779746328576495000494109807023480131002516530092334565019303467379078516062715566714064484465740201418891<108>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:2491410582 2e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 64699084774232251240992565552777835324729667043036710876657286227491857001674590011216194651854435462744781904602088124320001535742408774634232417 (146 digits)
Using B1=2000000, B2=2853999340, polynomial Dickson(6), sigma=1:2491410582
Step 1 took 4344ms
Step 2 took 3360ms
********** Factor found in step 2: 119640362298112474679274523033927057987
Found probable prime factor of 39 digits: 119640362298112474679274523033927057987
Probable prime cofactor 540779746328576495000494109807023480131002516530092334565019303467379078516062715566714064484465740201418891 has 108 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10220+6

c185

name 名前ebina
date 日付November 14, 2021 23:12:28 UTC 2021 年 11 月 15 日 (月) 8 時 12 分 28 秒 (日本時間)
composite number 合成数
12277844034227882065813993748769271414333435244019828249671734786440571391826780614217191662747002656080407942895980196113331637681929699050946864505223323170913792761005419554211961593<185>
prime factors 素因数
180761587838692033318098818980812243155000817353<48>
659108597824682510368331756292395511621232589387302857941<57>
103052608143712796752318183970188860271535396392501038620269724972955164683666541<81>
factorization results 素因数分解の結果
Wed May 27 13:05:54 2020  Msieve v. 1.53 (SVN unknown)
Wed May 27 13:05:54 2020  random seeds: 5a22d648 2d04e227
Wed May 27 13:05:54 2020  factoring 12277844034227882065813993748769271414333435244019828249671734786440571391826780614217191662747002656080407942895980196113331637681929699050946864505223323170913792761005419554211961593 (185 digits)
Wed May 27 13:05:55 2020  searching for 15-digit factors
Wed May 27 13:05:55 2020  commencing number field sieve (185-digit input)
Wed May 27 13:05:55 2020  R0: -100000000000000000000000000000000000000000000
Wed May 27 13:05:55 2020  R1: 1
Wed May 27 13:05:55 2020  A0: 6
Wed May 27 13:05:55 2020  A1: 0
Wed May 27 13:05:55 2020  A2: 0
Wed May 27 13:05:55 2020  A3: 0
Wed May 27 13:05:55 2020  A4: 0
Wed May 27 13:05:55 2020  A5: 5
Wed May 27 13:05:55 2020  skew 1.04, size 5.612e-15, alpha -0.188, combined = 2.954e-12 rroots = 1
Wed May 27 13:05:56 2020  
Wed May 27 13:05:56 2020  commencing square root phase
Wed May 27 13:05:56 2020  reading relations for dependency 1
Wed May 27 13:05:56 2020  read 2110544 cycles
Wed May 27 13:05:59 2020  cycles contain 5931744 unique relations
Wed May 27 13:06:54 2020  read 5931744 relations
Wed May 27 13:07:20 2020  multiplying 5931744 relations
Wed May 27 13:09:59 2020  multiply complete, coefficients have about 158.96 million bits
Wed May 27 13:10:00 2020  initial square root is modulo 506551
Wed May 27 13:13:10 2020  found factor: 103052608143712796752318183970188860271535396392501038620269724972955164683666541
Wed May 27 13:13:10 2020  reading relations for dependency 2
Wed May 27 13:13:10 2020  read 2110522 cycles
Wed May 27 13:13:13 2020  cycles contain 5930752 unique relations
Wed May 27 13:14:08 2020  read 5930752 relations
Wed May 27 13:14:34 2020  multiplying 5930752 relations
Wed May 27 13:17:12 2020  multiply complete, coefficients have about 158.93 million bits
Wed May 27 13:17:13 2020  initial square root is modulo 505511
Wed May 27 13:20:25 2020  sqrtTime: 869
Wed May 27 13:20:25 2020  p48 factor: 180761587838692033318098818980812243155000817353
Wed May 27 13:20:25 2020  p57 factor: 659108597824682510368331756292395511621232589387302857941
Wed May 27 13:20:25 2020  p81 factor: 103052608143712796752318183970188860271535396392501038620269724972955164683666541
Wed May 27 13:20:25 2020  elapsed time 00:14:31
Wed May 27 13:20:25 2020 -> Computing 1.59055e+09 scale for this machine...
Wed May 27 13:20:25 2020 -> procrels -speedtest> PIPE
Wed May 27 13:20:28 2020 -> Factorization summary written to s221-1866.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10221+6

c213

name 名前Erik Branger
date 日付June 17, 2022 16:01:55 UTC 2022 年 6 月 18 日 (土) 1 時 1 分 55 秒 (日本時間)
composite number 合成数
864057289459126300453311758260604565608901673035074190222703058967067828535241062150787142192969174821866899668124926937475746559927849419091000878929443525296782336714160243786091392162088631353887184816224018009<213>
prime factors 素因数
203013127316760581013575188522048530308373517<45>
37950357155118032951046595620880387582583579414896185521313675568019041<71>
112150844866217518102798745584049876351489982827539117291825363363659212760479711822651747748176797<99>
factorization results 素因数分解の結果
Number: 50006_221
N = 864057289459126300453311758260604565608901673035074190222703058967067828535241062150787142192969174821866899668124926937475746559927849419091000878929443525296782336714160243786091392162088631353887184816224018009 (213 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=203013127316760581013575188522048530308373517 (pp45)
r2=37950357155118032951046595620880387582583579414896185521313675568019041 (pp71)
r3=112150844866217518102798745584049876351489982827539117291825363363659212760479711822651747748176797 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 40.50 hours.
Factorization parameters were as follows:
n: 864057289459126300453311758260604565608901673035074190222703058967067828535241062150787142192969174821866899668124926937475746559927849419091000878929443525296782336714160243786091392162088631353887184816224018009
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: 3
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31818862
Relations: 7093492 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 19.55 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 6257846 x 6258071
Matrix solve time: 20.09 hours.
time per square root: 0.50 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 40.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_Factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6602 / 2078Marlon TrifunovicFebruary 18, 2022 02:49:45 UTC 2022 年 2 月 18 日 (金) 11 時 49 分 45 秒 (日本時間)

5×10223+6

c192

name 名前ebina
date 日付March 7, 2022 21:53:01 UTC 2022 年 3 月 8 日 (火) 6 時 53 分 1 秒 (日本時間)
composite number 合成数
977857013539632848012388055180225783234759239152146675396644864218806133608429721223220387472308420256355129655365470010459275349067772182273344303622312548201517505475574288204496773166278627<192>
prime factors 素因数
3440451247060071761037368826537389023141895744770360651<55>
284223476317308513589247916526070753328326342002374731915438989847393181150080141741273184342629159103906014815386542789513992576661733577<138>
factorization results 素因数分解の結果
Tue Mar  8 02:09:02 2022  Msieve v. 1.53 (SVN unknown)
Tue Mar  8 02:09:02 2022  random seeds: 238e27b8 b1836e87
Tue Mar  8 02:09:02 2022  factoring 977857013539632848012388055180225783234759239152146675396644864218806133608429721223220387472308420256355129655365470010459275349067772182273344303622312548201517505475574288204496773166278627 (192 digits)
Tue Mar  8 02:09:03 2022  searching for 15-digit factors
Tue Mar  8 02:09:04 2022  commencing number field sieve (192-digit input)
Tue Mar  8 02:09:04 2022  R0: -10000000000000000000000000000000000000
Tue Mar  8 02:09:04 2022  R1: 1
Tue Mar  8 02:09:04 2022  A0: 3
Tue Mar  8 02:09:04 2022  A1: 0
Tue Mar  8 02:09:04 2022  A2: 0
Tue Mar  8 02:09:04 2022  A3: 0
Tue Mar  8 02:09:04 2022  A4: 0
Tue Mar  8 02:09:04 2022  A5: 0
Tue Mar  8 02:09:04 2022  A6: 25
Tue Mar  8 02:09:04 2022  skew 0.70, size 4.810e-11, alpha 0.446, combined = 1.995e-12 rroots = 0
Tue Mar  8 02:09:04 2022  
Tue Mar  8 02:09:04 2022  commencing square root phase
Tue Mar  8 02:09:04 2022  reading relations for dependency 1
Tue Mar  8 02:09:05 2022  read 2501412 cycles
Tue Mar  8 02:09:09 2022  cycles contain 6643922 unique relations
Tue Mar  8 02:10:37 2022  read 6643922 relations
Tue Mar  8 02:11:14 2022  multiplying 6643922 relations
Tue Mar  8 02:16:37 2022  multiply complete, coefficients have about 191.09 million bits
Tue Mar  8 02:16:39 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 02:16:39 2022  initial square root is modulo 53
Tue Mar  8 02:23:30 2022  Newton iteration failed to converge
Tue Mar  8 02:23:30 2022  algebraic square root failed
Tue Mar  8 02:23:30 2022  reading relations for dependency 2
Tue Mar  8 02:23:31 2022  read 2501557 cycles
Tue Mar  8 02:23:35 2022  cycles contain 6642352 unique relations
Tue Mar  8 02:25:02 2022  read 6642352 relations
Tue Mar  8 02:25:39 2022  multiplying 6642352 relations
Tue Mar  8 02:31:02 2022  multiply complete, coefficients have about 191.04 million bits
Tue Mar  8 02:31:03 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 02:31:04 2022  initial square root is modulo 53
Tue Mar  8 02:37:58 2022  GCD is N, no factor found
Tue Mar  8 02:37:58 2022  reading relations for dependency 3
Tue Mar  8 02:37:59 2022  read 2500058 cycles
Tue Mar  8 02:38:02 2022  cycles contain 6641632 unique relations
Tue Mar  8 02:39:31 2022  read 6641632 relations
Tue Mar  8 02:40:09 2022  multiplying 6641632 relations
Tue Mar  8 02:46:43 2022  multiply complete, coefficients have about 191.03 million bits
Tue Mar  8 02:46:45 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 02:46:45 2022  initial square root is modulo 53
Tue Mar  8 02:56:13 2022  Newton iteration failed to converge
Tue Mar  8 02:56:13 2022  algebraic square root failed
Tue Mar  8 02:56:13 2022  reading relations for dependency 4
Tue Mar  8 02:56:14 2022  read 2499351 cycles
Tue Mar  8 02:56:19 2022  cycles contain 6639924 unique relations
Tue Mar  8 02:58:08 2022  read 6639924 relations
Tue Mar  8 02:58:54 2022  multiplying 6639924 relations
Tue Mar  8 03:06:14 2022  multiply complete, coefficients have about 190.98 million bits
Tue Mar  8 03:06:16 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 03:06:16 2022  initial square root is modulo 53
Tue Mar  8 03:15:32 2022  Newton iteration failed to converge
Tue Mar  8 03:15:32 2022  algebraic square root failed
Tue Mar  8 03:15:32 2022  reading relations for dependency 5
Tue Mar  8 03:15:33 2022  read 2500084 cycles
Tue Mar  8 03:15:38 2022  cycles contain 6642102 unique relations
Tue Mar  8 03:17:30 2022  read 6642102 relations
Tue Mar  8 03:18:15 2022  multiplying 6642102 relations
Tue Mar  8 03:25:27 2022  multiply complete, coefficients have about 191.04 million bits
Tue Mar  8 03:25:29 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 03:25:29 2022  initial square root is modulo 53
Tue Mar  8 03:34:50 2022  Newton iteration failed to converge
Tue Mar  8 03:34:50 2022  algebraic square root failed
Tue Mar  8 03:34:50 2022  reading relations for dependency 6
Tue Mar  8 03:34:51 2022  read 2501441 cycles
Tue Mar  8 03:34:56 2022  cycles contain 6645384 unique relations
Tue Mar  8 03:36:49 2022  read 6645384 relations
Tue Mar  8 03:37:34 2022  multiplying 6645384 relations
Tue Mar  8 03:44:54 2022  multiply complete, coefficients have about 191.14 million bits
Tue Mar  8 03:44:56 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 03:44:56 2022  initial square root is modulo 53
Tue Mar  8 03:54:18 2022  Newton iteration failed to converge
Tue Mar  8 03:54:18 2022  algebraic square root failed
Tue Mar  8 03:54:18 2022  reading relations for dependency 7
Tue Mar  8 03:54:19 2022  read 2502007 cycles
Tue Mar  8 03:54:24 2022  cycles contain 6640704 unique relations
Tue Mar  8 03:56:14 2022  read 6640704 relations
Tue Mar  8 03:56:59 2022  multiplying 6640704 relations
Tue Mar  8 04:04:11 2022  multiply complete, coefficients have about 191.00 million bits
Tue Mar  8 04:04:13 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 04:04:13 2022  initial square root is modulo 53
Tue Mar  8 04:11:51 2022  Newton iteration failed to converge
Tue Mar  8 04:11:51 2022  algebraic square root failed
Tue Mar  8 04:11:51 2022  reading relations for dependency 8
Tue Mar  8 04:11:52 2022  read 2501290 cycles
Tue Mar  8 04:11:56 2022  cycles contain 6643898 unique relations
Tue Mar  8 04:13:31 2022  read 6643898 relations
Tue Mar  8 04:14:11 2022  multiplying 6643898 relations
Tue Mar  8 04:20:11 2022  multiply complete, coefficients have about 191.09 million bits
Tue Mar  8 04:20:13 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 04:20:13 2022  initial square root is modulo 53
Tue Mar  8 04:27:50 2022  Newton iteration failed to converge
Tue Mar  8 04:27:50 2022  algebraic square root failed
Tue Mar  8 04:27:50 2022  reading relations for dependency 9
Tue Mar  8 04:27:51 2022  read 2500239 cycles
Tue Mar  8 04:27:55 2022  cycles contain 6642174 unique relations
Tue Mar  8 04:29:31 2022  read 6642174 relations
Tue Mar  8 04:30:11 2022  multiplying 6642174 relations
Tue Mar  8 04:36:11 2022  multiply complete, coefficients have about 191.04 million bits
Tue Mar  8 04:36:12 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 04:36:13 2022  initial square root is modulo 53
Tue Mar  8 04:43:50 2022  Newton iteration failed to converge
Tue Mar  8 04:43:50 2022  algebraic square root failed
Tue Mar  8 04:43:50 2022  reading relations for dependency 10
Tue Mar  8 04:43:51 2022  read 2501696 cycles
Tue Mar  8 04:43:55 2022  cycles contain 6643986 unique relations
Tue Mar  8 04:45:30 2022  read 6643986 relations
Tue Mar  8 04:46:09 2022  multiplying 6643986 relations
Tue Mar  8 04:52:10 2022  multiply complete, coefficients have about 191.09 million bits
Tue Mar  8 04:52:12 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 04:52:12 2022  initial square root is modulo 53
Tue Mar  8 04:59:50 2022  Newton iteration failed to converge
Tue Mar  8 04:59:50 2022  algebraic square root failed
Tue Mar  8 04:59:50 2022  reading relations for dependency 11
Tue Mar  8 04:59:51 2022  read 2500836 cycles
Tue Mar  8 04:59:55 2022  cycles contain 6643362 unique relations
Tue Mar  8 05:01:29 2022  read 6643362 relations
Tue Mar  8 05:02:09 2022  multiplying 6643362 relations
Tue Mar  8 05:08:09 2022  multiply complete, coefficients have about 191.07 million bits
Tue Mar  8 05:08:11 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 05:08:11 2022  initial square root is modulo 53
Tue Mar  8 05:15:48 2022  Newton iteration failed to converge
Tue Mar  8 05:15:48 2022  algebraic square root failed
Tue Mar  8 05:15:48 2022  reading relations for dependency 12
Tue Mar  8 05:15:49 2022  read 2500679 cycles
Tue Mar  8 05:15:53 2022  cycles contain 6639970 unique relations
Tue Mar  8 05:17:28 2022  read 6639970 relations
Tue Mar  8 05:18:07 2022  multiplying 6639970 relations
Tue Mar  8 05:24:07 2022  multiply complete, coefficients have about 190.98 million bits
Tue Mar  8 05:24:09 2022  warning: no irreducible prime found, switching to small primes
Tue Mar  8 05:24:09 2022  initial square root is modulo 53
Tue Mar  8 05:31:48 2022  sqrtTime: 12164
Tue Mar  8 05:31:48 2022  p55 factor: 3440451247060071761037368826537389023141895744770360651
Tue Mar  8 05:31:48 2022  p138 factor: 284223476317308513589247916526070753328326342002374731915438989847393181150080141741273184342629159103906014815386542789513992576661733577
Tue Mar  8 05:31:48 2022  elapsed time 03:22:46
Tue Mar 08 05:31:48 2022 -> Computing 1.64669e+09 scale for this machine...
Tue Mar 08 05:31:48 2022 -> procrels -speedtest> PIPE
Tue Mar 08 05:31:52 2022 -> Factorization summary written to s224-50006_223.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e6602 / 2078Marlon TrifunovicFebruary 17, 2022 09:40:38 UTC 2022 年 2 月 17 日 (木) 18 時 40 分 38 秒 (日本時間)

5×10225+6

c210

composite cofactor 合成数の残り
340574954448448771529438160410173497201289927281133210760688753251072657262097622790704648819399716401928477195349649931317484910525281470197219843063051674718681409272633317904898392464010791418011974318302053<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 20:57:15 UTC 2022 年 2 月 18 日 (金) 5 時 57 分 15 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:12:34 UTC 2023 年 8 月 18 日 (金) 20 時 12 分 34 秒 (日本時間)

5×10226+6

c222

name 名前ebina
date 日付November 14, 2021 22:28:49 UTC 2021 年 11 月 15 日 (月) 7 時 28 分 49 秒 (日本時間)
composite number 合成数
294051917806607934696950093508509862501323233630129735706136275420788294381255954551335583810677613239393547324715651795481010127148049259577270962961220433079664545572166221668097719333325491948858490455074747997506439737<222>
prime factors 素因数
311432734899329774502414313980030759553151557<45>
composite cofactor 合成数の残り
944190782968462945075851594632635545725604966852739920856808046598374246160929765433674898375933448584480938798901026126459559341072623585888086231882352406382272931620255248741<177>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3825074250 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 294051917806607934696950093508509862501323233630129735706136275420788294381255954551335583810677613239393547324715651795481010127148049259577270962961220433079664545572166221668097719333325491948858490455074747997506439737 (222 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3825074250
Step 1 took 11653ms
Step 2 took 7176ms
********** Factor found in step 2: 311432734899329774502414313980030759553151557
Found probable prime factor of 45 digits: 311432734899329774502414313980030759553151557
Composite cofactor 944190782968462945075851594632635545725604966852739920856808046598374246160929765433674898375933448584480938798901026126459559341072623585888086231882352406382272931620255248741 has 177 digits

c177

name 名前ebina
date 日付December 25, 2021 00:50:20 UTC 2021 年 12 月 25 日 (土) 9 時 50 分 20 秒 (日本時間)
composite number 合成数
944190782968462945075851594632635545725604966852739920856808046598374246160929765433674898375933448584480938798901026126459559341072623585888086231882352406382272931620255248741<177>
prime factors 素因数
11279828292364920524911219060047771684082436119<47>
83706130846651797584739708832275951350437214620923182390606744995894062521412247070497932283682690830592186861420354872764657107939<131>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4232768526 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 944190782968462945075851594632635545725604966852739920856808046598374246160929765433674898375933448584480938798901026126459559341072623585888086231882352406382272931620255248741 (177 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4232768526
Step 1 took 21922ms
Step 2 took 6344ms
********** Factor found in step 2: 11279828292364920524911219060047771684082436119
Found probable prime factor of 47 digits: 11279828292364920524911219060047771684082436119
Probable prime cofactor 83706130846651797584739708832275951350437214620923182390606744995894062521412247070497932283682690830592186861420354872764657107939 has 131 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e61455 / 2078ebinaNovember 14, 2021 22:27:15 UTC 2021 年 11 月 15 日 (月) 7 時 27 分 15 秒 (日本時間)

5×10227+6

c226

composite cofactor 合成数の残り
1012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145748987854251012145749<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 07:06:59 UTC 2022 年 2 月 18 日 (金) 16 時 6 分 59 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:12:45 UTC 2023 年 8 月 18 日 (金) 20 時 12 分 45 秒 (日本時間)

5×10228+6

c211

composite cofactor 合成数の残り
3657301493464323734504913444421639717101997864014603331759810874747636550361831000471707240236840660578071052496102957469350595718111018504134009388863416218591461805678433279342022609051220497650391210585396973<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 01:40:22 UTC 2022 年 2 月 18 日 (金) 10 時 40 分 22 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:12:53 UTC 2023 年 8 月 18 日 (金) 20 時 12 分 53 秒 (日本時間)

5×10230+6

c208

name 名前ebina
date 日付November 15, 2021 02:12:06 UTC 2021 年 11 月 15 日 (月) 11 時 12 分 6 秒 (日本時間)
composite number 合成数
2885915022355130226648966228956761191181530095513731097279772784742887703469358088945338475309185547945006684941177560376858437501066793690531043214229629873287893054896936914988231009555238170512337061351463<208>
prime factors 素因数
383506976037336193090347178383507769078094097268023810739281136426792371022885039<81>
7525065260023256883554770883930213763703467976057665183887831672113865963968717943378530659903355185246149853248571606333982217<127>
factorization results 素因数分解の結果
04/03/21 12:04:23 v1.34.5 @ user, nfs: commencing snfs on c208: 2885915022355130226648966228956761191181530095513731097279772784742887703469358088945338475309185547945006684941177560376858437501066793690531043214229629873287893054896936914988231009555238170512337061351463
04/03/21 12:04:27 v1.34.5 @ user, test: fb generation took 3.5148 seconds
04/03/21 12:04:27 v1.34.5 @ user, test: commencing test sieving of polynomial 0 on the rational side over range 38400000-38402000
skew: 1.0371
c5: 5
c0: 6
Y1: -1
Y0: 10000000000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000000000
rlim: 38400000
alim: 38400000
mfbr: 60
mfba: 60
lpbr: 30
lpba: 30
rlambda: 2.60
alambda: 2.60
04/12/21 19:53:15 v1.34.5 @ user, prp127 = 7525065260023256883554770883930213763703467976057665183887831672113865963968717943378530659903355185246149853248571606333982217
04/12/21 19:53:15 v1.34.5 @ user, prp81 = 383506976037336193090347178383507769078094097268023810739281136426792371022885039

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10231+6

c139

name 名前ebina
date 日付November 14, 2021 22:32:13 UTC 2021 年 11 月 15 日 (月) 7 時 32 分 13 秒 (日本時間)
composite number 合成数
4742612096990208031458511932119585741486838311572729052673709500124515018099409111375030951089490458478216090682371237305263983444562998357<139>
prime factors 素因数
136637552057269372944214659340838140542782622121596895531<57>
34709434014175111320920824131368416428499625749976578667451139236588892736236216447<83>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:856379346 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 4742612096990208031458511932119585741486838311572729052673709500124515018099409111375030951089490458478216090682371237305263983444562998357 (139 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:856379346
Step 1 took 19765ms
Step 2 took 13094ms
********** Factor found in step 2: 136637552057269372944214659340838140542782622121596895531
Found probable prime factor of 57 digits: 136637552057269372944214659340838140542782622121596895531
Probable prime cofactor 34709434014175111320920824131368416428499625749976578667451139236588892736236216447 has 83 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10232+6

c186

name 名前ebina
date 日付November 14, 2021 22:19:31 UTC 2021 年 11 月 15 日 (月) 7 時 19 分 31 秒 (日本時間)
composite number 合成数
240358283287542094892283240896226467817585004518449544144025652573315811556651425159579887038139174861346223169559362483600267125817203975871065018039932462466894619149300449931481628779<186>
prime factors 素因数
9070393297686118732950501541508983434611<40>
2080110353719063873135405160562815983972801<43>
171272486629148685282272012455336917467668187070637<51>
74380483301998809289136336654011010749066973218615597<53>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:3189967287 1e7      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 240358283287542094892283240896226467817585004518449544144025652573315811556651425159579887038139174861346223169559362483600267125817203975871065018039932462466894619149300449931481628779 (186 digits)
Using B1=10000000, B2=35132741290, polynomial Dickson(12), sigma=1:3189967287
Step 1 took 46316ms
Step 2 took 29843ms
********** Factor found in step 2: 2080110353719063873135405160562815983972801
Found probable prime factor of 43 digits: 2080110353719063873135405160562815983972801
Composite cofactor 115550736458669861151671129673376399716988401151460296026913505476558350960121194623027563021789488510970099955820122623728085925449873895777579 has 144 digits

Sun Apr 26 00:18:43 2020  Msieve v. 1.53 (SVN unknown)
Sun Apr 26 00:18:43 2020  random seeds: 6d577ac0 f9961f62
Sun Apr 26 00:18:43 2020  factoring 115550736458669861151671129673376399716988401151460296026913505476558350960121194623027563021789488510970099955820122623728085925449873895777579 (144 digits)
Sun Apr 26 00:18:43 2020  searching for 15-digit factors
Sun Apr 26 00:18:44 2020  commencing number field sieve (144-digit input)
Sun Apr 26 00:18:44 2020  R0: -6346817828177853866115807344
Sun Apr 26 00:18:44 2020  R1: 520183282699393
Sun Apr 26 00:18:44 2020  A0: -677939848701280613822864040919809525
Sun Apr 26 00:18:44 2020  A1: 598562835805933936777474125814
Sun Apr 26 00:18:44 2020  A2: 555165549676526799312008
Sun Apr 26 00:18:44 2020  A3: -206733463315705694
Sun Apr 26 00:18:44 2020  A4: -95866996543
Sun Apr 26 00:18:44 2020  A5: 11220
Sun Apr 26 00:18:44 2020  skew 2644375.71, size 7.132e-14, alpha -6.818, combined = 1.358e-11 rroots = 5
Sun Apr 26 00:18:44 2020  
Sun Apr 26 00:18:44 2020  commencing square root phase
Sun Apr 26 00:18:44 2020  reading relations for dependency 1
Sun Apr 26 00:18:44 2020  read 1554406 cycles
Sun Apr 26 00:18:47 2020  cycles contain 5438030 unique relations
Sun Apr 26 00:19:25 2020  read 5438030 relations
Sun Apr 26 00:19:44 2020  multiplying 5438030 relations
Sun Apr 26 00:22:18 2020  multiply complete, coefficients have about 263.52 million bits
Sun Apr 26 00:22:20 2020  initial square root is modulo 2863652641
Sun Apr 26 00:25:47 2020  Newton iteration failed to converge
Sun Apr 26 00:25:47 2020  algebraic square root failed
Sun Apr 26 00:25:47 2020  reading relations for dependency 2
Sun Apr 26 00:25:48 2020  read 1552983 cycles
Sun Apr 26 00:25:49 2020  cycles contain 5433394 unique relations
Sun Apr 26 00:26:29 2020  read 5433394 relations
Sun Apr 26 00:26:51 2020  multiplying 5433394 relations
Sun Apr 26 00:29:31 2020  multiply complete, coefficients have about 263.29 million bits
Sun Apr 26 00:29:32 2020  initial square root is modulo 2810046007
Sun Apr 26 00:33:02 2020  found factor: 171272486629148685282272012455336917467668187070637
Sun Apr 26 00:33:02 2020  reading relations for dependency 3
Sun Apr 26 00:33:03 2020  read 1553542 cycles
Sun Apr 26 00:33:04 2020  cycles contain 5439584 unique relations
Sun Apr 26 00:33:42 2020  read 5439584 relations
Sun Apr 26 00:34:02 2020  multiplying 5439584 relations
Sun Apr 26 00:36:38 2020  multiply complete, coefficients have about 263.60 million bits
Sun Apr 26 00:36:40 2020  initial square root is modulo 2882197151
Sun Apr 26 00:40:10 2020  sqrtTime: 1286
Sun Apr 26 00:40:10 2020  p40 factor: 9070393297686118732950501541508983434611
Sun Apr 26 00:40:10 2020  p51 factor: 171272486629148685282272012455336917467668187070637
Sun Apr 26 00:40:10 2020  p53 factor: 74380483301998809289136336654011010749066973218615597
Sun Apr 26 00:40:10 2020  elapsed time 00:21:27
Sun Apr 26 00:40:10 2020 -> Computing 1.58783e+09 scale for this machine...
Sun Apr 26 00:40:10 2020 -> procrels -speedtest> PIPE
Sun Apr 26 00:40:12 2020 -> Factorization summary written to g144-144.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10234+6

c184

name 名前ebina
date 日付November 14, 2021 22:34:16 UTC 2021 年 11 月 15 日 (月) 7 時 34 分 16 秒 (日本時間)
composite number 合成数
2853836015702654395911540200777021569493071478273609117213514243180693150665911503483626215780781506231842508521385371335245381625943539380959118574147796227731570687924180855460956913<184>
prime factors 素因数
1105067411474763867124745147965728448590899<43>
2582499480184722374236586054102701980191753640256411058688591969213560203859727677561622220428468803435160903874569762997853915605611892621387<142>
factorization results 素因数分解の結果
Y:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:652316674 11e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 2853836015702654395911540200777021569493071478273609117213514243180693150665911503483626215780781506231842508521385371335245381625943539380959118574147796227731570687924180855460956913 (184 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:652316674
Step 1 took 25141ms
Step 2 took 15187ms
********** Factor found in step 2: 1105067411474763867124745147965728448590899
Found probable prime factor of 43 digits: 1105067411474763867124745147965728448590899
Probable prime cofactor 2582499480184722374236586054102701980191753640256411058688591969213560203859727677561622220428468803435160903874569762997853915605611892621387 has 142 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10236+6

c171

name 名前Marlon Trifunovic
date 日付February 17, 2022 08:14:53 UTC 2022 年 2 月 17 日 (木) 17 時 14 分 53 秒 (日本時間)
composite number 合成数
164279840771262459064223331267972262999763204359836038685629860419707355100188887115555671896044847147654398180047440565534160878963901451222848897912850938326753376392311<171>
prime factors 素因数
185299333872569811135108870110655915023<39>
886564659127363949498928825344133539263472177277220240233100531416744569728941721872745199792748584087106055214194504371057139532057<132>
factorization results 素因数分解の結果
Run 86 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3447536761
Step 1 took 13946ms
Step 2 took 6240ms
********** Factor found in step 2: 185299333872569811135108870110655915023
Found prime factor of 39 digits: 185299333872569811135108870110655915023
Prime cofactor 886564659127363949498928825344133539263472177277220240233100531416744569728941721872745199792748584087106055214194504371057139532057 has 132 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10237+6

c222

name 名前Dmitry Domanov
date 日付August 20, 2023 08:26:44 UTC 2023 年 8 月 20 日 (日) 17 時 26 分 44 秒 (日本時間)
composite number 合成数
945062444431909454285570132344562977456250770849567882888088018567705808163634765661609716526954011841275228810611769933272291068495835587443862876446909623290175820102635662746927397023615602186164548565160192997241008119<222>
prime factors 素因数
645369021568513959505208436406965691<36>
composite cofactor 合成数の残り
1464375284290864130603823498733288103843688051045136748736375728862220409119089972428164035029254801928600589177404064682284741870716714066540791517483768493286149627029939639663724145909<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4644e6fd51f8 with GMP-ECM 7.0.5-dev on Fri Aug 18 14:30:29 2023 
Input number is 945062444431909454285570132344562977456250770849567882888088018567705808163634765661609716526954011841275228810611769933272291068495835587443862876446909623290175820102635662746927397023615602186164548565160192997241008119 (222 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1903213679
Step 1 took 0ms
Step 2 took 5476ms
********** Factor found in step 2: 645369021568513959505208436406965691
Found prime factor of 36 digits: 645369021568513959505208436406965691
Composite cofactor 1464375284290864130603823498733288103843688051045136748736375728862220409119089972428164035029254801928600589177404064682284741870716714066540791517483768493286149627029939639663724145909 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 11:48:58 UTC 2022 年 2 月 18 日 (金) 20 時 48 分 58 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:01 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 1 秒 (日本時間)

5×10239+6

c209

composite cofactor 合成数の残り
78268476204290985506350718299969097722920045000734778410739504431220217659770048413692011194018753364244138723724068378510084673916881328971578358944290444206258337317003806756096863267011312827214207797709957<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 19:40:42 UTC 2022 年 2 月 18 日 (金) 4 時 40 分 42 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:09 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 9 秒 (日本時間)

5×10242+6

c235

composite cofactor 合成数の残り
3561496422840115892233278072679970356383133989492987221222620978441934494877877213649882364485452875540102713271914995115122736360953844530680461073606258592021082691208587115477518388611485515401171302094346519042544966705920530506831<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 2, 2022 19:42:12 UTC 2022 年 3 月 3 日 (木) 4 時 42 分 12 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:05:54 UTC 2023 年 8 月 20 日 (日) 7 時 5 分 54 秒 (日本時間)

5×10249+6

c232

name 名前ebina
date 日付March 2, 2022 22:24:27 UTC 2022 年 3 月 3 日 (木) 7 時 24 分 27 秒 (日本時間)
composite number 合成数
2115476398782146160838755178402242175816613669964624214064372876075724101780886313306234859765129334521392152684621432889276604316710774237477974292232162848270301794510851046189892044688730667990068285412890193519506698394384446229<232>
prime factors 素因数
414183531569205849732765349924845129567164989<45>
17575898565866088213507698086993777656645190856851561<53>
339084570086718341550200630547061173451630867198418146085311<60>
857017701629211267224987035635124746577371887344877531902886255503077633391<75>
factorization results 素因数分解の結果
Wed Mar  2 15:47:27 2022  Msieve v. 1.53 (SVN unknown)
Wed Mar  2 15:47:27 2022  random seeds: 71986fb8 972f2cc9
Wed Mar  2 15:47:27 2022  factoring 2115476398782146160838755178402242175816613669964624214064372876075724101780886313306234859765129334521392152684621432889276604316710774237477974292232162848270301794510851046189892044688730667990068285412890193519506698394384446229 (232 digits)
Wed Mar  2 15:47:28 2022  searching for 15-digit factors
Wed Mar  2 15:47:28 2022  commencing number field sieve (232-digit input)
Wed Mar  2 15:47:28 2022  R0: -100000000000000000000000000000000000000000
Wed Mar  2 15:47:28 2022  R1: 1
Wed Mar  2 15:47:28 2022  A0: 3
Wed Mar  2 15:47:28 2022  A1: 0
Wed Mar  2 15:47:28 2022  A2: 0
Wed Mar  2 15:47:28 2022  A3: 0
Wed Mar  2 15:47:28 2022  A4: 0
Wed Mar  2 15:47:28 2022  A5: 0
Wed Mar  2 15:47:29 2022  A6: 2500
Wed Mar  2 15:47:29 2022  skew 0.33, size 1.531e-12, alpha 0.615, combined = 1.651e-13 rroots = 0
Wed Mar  2 15:47:29 2022  
Wed Mar  2 15:47:29 2022  commencing square root phase
Wed Mar  2 15:47:29 2022  reading relations for dependency 1
Wed Mar  2 15:47:31 2022  read 9018254 cycles
Wed Mar  2 15:47:44 2022  cycles contain 28130268 unique relations
Wed Mar  2 15:52:47 2022  read 28130268 relations
Wed Mar  2 15:55:33 2022  multiplying 28130268 relations
Wed Mar  2 16:34:51 2022  multiply complete, coefficients have about 1027.02 million bits
Wed Mar  2 16:34:58 2022  warning: no irreducible prime found, switching to small primes
Wed Mar  2 16:34:59 2022  initial square root is modulo 53
Wed Mar  2 17:46:03 2022  found factor: 414183531569205849732765349924845129567164989
Wed Mar  2 17:46:03 2022  reading relations for dependency 2
Wed Mar  2 17:46:08 2022  read 9017744 cycles
Wed Mar  2 17:46:26 2022  cycles contain 28126144 unique relations
Wed Mar  2 17:53:53 2022  read 28126144 relations
Wed Mar  2 17:57:21 2022  multiplying 28126144 relations
Wed Mar  2 18:36:23 2022  multiply complete, coefficients have about 1026.85 million bits
Wed Mar  2 18:36:30 2022  warning: no irreducible prime found, switching to small primes
Wed Mar  2 18:36:31 2022  initial square root is modulo 53
Wed Mar  2 19:26:27 2022  Newton iteration failed to converge
Wed Mar  2 19:26:27 2022  algebraic square root failed
Wed Mar  2 19:26:27 2022  reading relations for dependency 3
Wed Mar  2 19:26:31 2022  read 9018767 cycles
Wed Mar  2 19:26:46 2022  cycles contain 28127994 unique relations
Wed Mar  2 19:32:41 2022  read 28127994 relations
Wed Mar  2 19:35:24 2022  multiplying 28127994 relations
Wed Mar  2 20:03:13 2022  multiply complete, coefficients have about 1026.93 million bits
Wed Mar  2 20:03:19 2022  warning: no irreducible prime found, switching to small primes
Wed Mar  2 20:03:20 2022  initial square root is modulo 53
Wed Mar  2 20:52:33 2022  found factor: 140443244739142899753206051798072023490886648278106754612599531638239938305699110427400585441994806376579
Wed Mar  2 20:52:33 2022  reading relations for dependency 4
Wed Mar  2 20:52:36 2022  read 9020256 cycles
Wed Mar  2 20:52:51 2022  cycles contain 28123946 unique relations
Wed Mar  2 20:58:45 2022  read 28123946 relations
Wed Mar  2 21:01:27 2022  multiplying 28123946 relations
Wed Mar  2 21:29:15 2022  multiply complete, coefficients have about 1026.79 million bits
Wed Mar  2 21:29:21 2022  warning: no irreducible prime found, switching to small primes
Wed Mar  2 21:29:22 2022  initial square root is modulo 53
Wed Mar  2 22:18:02 2022  Newton iteration failed to converge
Wed Mar  2 22:18:02 2022  algebraic square root failed
Wed Mar  2 22:18:02 2022  reading relations for dependency 5
Wed Mar  2 22:18:07 2022  read 9018782 cycles
Wed Mar  2 22:18:21 2022  cycles contain 28130684 unique relations
Wed Mar  2 22:23:32 2022  read 28130684 relations
Wed Mar  2 22:26:19 2022  multiplying 28130684 relations
Wed Mar  2 22:54:22 2022  multiply complete, coefficients have about 1027.03 million bits
Wed Mar  2 22:54:28 2022  warning: no irreducible prime found, switching to small primes
Wed Mar  2 22:54:29 2022  initial square root is modulo 53
Wed Mar  2 23:38:53 2022  Newton iteration failed to converge
Wed Mar  2 23:38:53 2022  algebraic square root failed
Wed Mar  2 23:38:53 2022  reading relations for dependency 6
Wed Mar  2 23:38:57 2022  read 9017544 cycles
Wed Mar  2 23:39:12 2022  cycles contain 28126568 unique relations
Wed Mar  2 23:44:48 2022  read 28126568 relations
Wed Mar  2 23:47:44 2022  multiplying 28126568 relations
Thu Mar  3 00:23:24 2022  multiply complete, coefficients have about 1026.87 million bits
Thu Mar  3 00:23:31 2022  warning: no irreducible prime found, switching to small primes
Thu Mar  3 00:23:32 2022  initial square root is modulo 53
Thu Mar  3 01:20:27 2022  found factor: 339084570086718341550200630547061173451630867198418146085311
Thu Mar  3 01:20:27 2022  reading relations for dependency 7
Thu Mar  3 01:20:32 2022  read 9017027 cycles
Thu Mar  3 01:20:47 2022  cycles contain 28119328 unique relations
Thu Mar  3 01:27:05 2022  read 28119328 relations
Thu Mar  3 01:30:02 2022  multiplying 28119328 relations
Thu Mar  3 02:00:10 2022  multiply complete, coefficients have about 1026.61 million bits
Thu Mar  3 02:00:16 2022  warning: no irreducible prime found, switching to small primes
Thu Mar  3 02:00:16 2022  initial square root is modulo 53
Thu Mar  3 02:48:37 2022  Newton iteration failed to converge
Thu Mar  3 02:48:37 2022  algebraic square root failed
Thu Mar  3 02:48:37 2022  reading relations for dependency 8
Thu Mar  3 02:48:41 2022  read 9014756 cycles
Thu Mar  3 02:48:56 2022  cycles contain 28117194 unique relations
Thu Mar  3 02:54:36 2022  read 28117194 relations
Thu Mar  3 02:57:19 2022  multiplying 28117194 relations
Thu Mar  3 03:25:16 2022  multiply complete, coefficients have about 1026.54 million bits
Thu Mar  3 03:25:22 2022  warning: no irreducible prime found, switching to small primes
Thu Mar  3 03:25:22 2022  initial square root is modulo 53
Thu Mar  3 04:14:09 2022  Newton iteration failed to converge
Thu Mar  3 04:14:09 2022  algebraic square root failed
Thu Mar  3 04:14:09 2022  reading relations for dependency 9
Thu Mar  3 04:14:13 2022  read 9018038 cycles
Thu Mar  3 04:14:27 2022  cycles contain 28118458 unique relations
Thu Mar  3 04:20:18 2022  read 28118458 relations
Thu Mar  3 04:23:02 2022  multiplying 28118458 relations
Thu Mar  3 04:50:32 2022  multiply complete, coefficients have about 1026.58 million bits
Thu Mar  3 04:50:38 2022  warning: no irreducible prime found, switching to small primes
Thu Mar  3 04:50:38 2022  initial square root is modulo 53
Thu Mar  3 05:39:01 2022  Newton iteration failed to converge
Thu Mar  3 05:39:01 2022  algebraic square root failed
Thu Mar  3 05:39:01 2022  reading relations for dependency 10
Thu Mar  3 05:39:05 2022  read 9019002 cycles
Thu Mar  3 05:39:20 2022  cycles contain 28132970 unique relations
Thu Mar  3 05:45:11 2022  read 28132970 relations
Thu Mar  3 05:47:57 2022  multiplying 28132970 relations
Thu Mar  3 06:15:16 2022  multiply complete, coefficients have about 1027.11 million bits
Thu Mar  3 06:15:21 2022  warning: no irreducible prime found, switching to small primes
Thu Mar  3 06:15:22 2022  initial square root is modulo 53
Thu Mar  3 07:03:32 2022  sqrtTime: 54963
Thu Mar  3 07:03:32 2022  p45 factor: 414183531569205849732765349924845129567164989
Thu Mar  3 07:03:32 2022  p53 factor: 17575898565866088213507698086993777656645190856851561
Thu Mar  3 07:03:32 2022  p60 factor: 339084570086718341550200630547061173451630867198418146085311
Thu Mar  3 07:03:32 2022  p75 factor: 857017701629211267224987035635124746577371887344877531902886255503077633391
Thu Mar  3 07:03:32 2022  elapsed time 15:16:05
Thu Mar 03 07:03:32 2022 -> Computing 1.64626e+09 scale for this machine...
Thu Mar 03 07:03:32 2022 -> procrels -speedtest> PIPE
Thu Mar 03 07:03:35 2022 -> Factorization summary written to s250-50006_249.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10250+6

c214

composite cofactor 合成数の残り
1453304037394416793832620964859670654840208692641408460696691985165039910752455036226376478823503627888964709025911433594612562240894764061644512238119495882171222985296486408672281156029722965283901150688234397867<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 18, 2022 06:11:47 UTC 2022 年 2 月 18 日 (金) 15 時 11 分 47 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:18 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 18 秒 (日本時間)

5×10253+6

c250

composite cofactor 合成数の残り
1406628031283407415742980926123895796995442525178641759972992741799358577617734766218421200697687503516570078208518539357452315309739492488606312946604399932481854498396444044336915546053001744218758791425195521296348393630788274348731221515782366511<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 06:24:58 UTC 2022 年 3 月 3 日 (木) 15 時 24 分 58 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:03 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 3 秒 (日本時間)

5×10254+6

c234

name 名前ebina
date 日付November 14, 2021 22:40:30 UTC 2021 年 11 月 15 日 (月) 7 時 40 分 30 秒 (日本時間)
composite number 合成数
599345122674777281666390871827324941065778887679002802104386740242624323031022920243619946563380188874574073271938944723614210630076765935543417761251117746532732046881816382763094376151383264783355041448913163382902227719969339382847<234>
prime factors 素因数
14700923310335945686840920404810318710255464217250815568881625130048483516598109570025509227<92>
40769216328976349124617455381019709796995556613558742759645137088214149385008873582378785718451484854996815620720234306137200672980794041160061<143>
factorization results 素因数分解の結果
Tue May 25 10:16:47 2021  Msieve v. 1.53 (SVN unknown)
Tue May 25 10:16:47 2021  random seeds: 867332d8 e8114e13
Tue May 25 10:16:47 2021  factoring 599345122674777281666390871827324941065778887679002802104386740242624323031022920243619946563380188874574073271938944723614210630076765935543417761251117746532732046881816382763094376151383264783355041448913163382902227719969339382847 (234 digits)
Tue May 25 10:16:48 2021  searching for 15-digit factors
Tue May 25 10:16:50 2021  commencing number field sieve (234-digit input)
Tue May 25 10:16:50 2021  R0: -1000000000000000000000000000000000000000000
Tue May 25 10:16:50 2021  R1: 1
Tue May 25 10:16:50 2021  A0: 3
Tue May 25 10:16:50 2021  A1: 0
Tue May 25 10:16:50 2021  A2: 0
Tue May 25 10:16:50 2021  A3: 0
Tue May 25 10:16:50 2021  A4: 0
Tue May 25 10:16:50 2021  A5: 0
Tue May 25 10:16:50 2021  A6: 250
Tue May 25 10:16:50 2021  skew 0.48, size 1.425e-12, alpha -0.094, combined = 1.529e-13 rroots = 0
Tue May 25 10:16:50 2021  
Tue May 25 10:16:50 2021  commencing square root phase
Tue May 25 10:16:50 2021  reading relations for dependency 1
Tue May 25 10:16:54 2021  read 8645329 cycles
Tue May 25 10:17:08 2021  cycles contain 25636250 unique relations
Tue May 25 10:22:27 2021  read 25636250 relations
Tue May 25 10:25:40 2021  multiplying 25636250 relations
Tue May 25 11:05:48 2021  multiply complete, coefficients have about 860.26 million bits
Tue May 25 11:05:56 2021  initial square root is modulo 52220731
Tue May 25 11:45:56 2021  GCD is 1, no factor found
Tue May 25 11:45:56 2021  reading relations for dependency 2
Tue May 25 11:46:01 2021  read 8644347 cycles
Tue May 25 11:46:19 2021  cycles contain 25637176 unique relations
Tue May 25 11:53:20 2021  read 25637176 relations
Tue May 25 11:56:48 2021  multiplying 25637176 relations
Tue May 25 12:38:52 2021  multiply complete, coefficients have about 860.29 million bits
Tue May 25 12:39:01 2021  initial square root is modulo 52251181
Tue May 25 13:26:41 2021  GCD is N, no factor found
Tue May 25 13:26:41 2021  reading relations for dependency 3
Tue May 25 13:26:51 2021  read 8644825 cycles
Tue May 25 13:27:11 2021  cycles contain 25633700 unique relations
Tue May 25 13:34:24 2021  read 25633700 relations
Tue May 25 13:37:45 2021  multiplying 25633700 relations
Tue May 25 14:18:18 2021  multiply complete, coefficients have about 860.16 million bits
Tue May 25 14:18:26 2021  initial square root is modulo 52114501
Tue May 25 15:08:40 2021  GCD is 1, no factor found
Tue May 25 15:08:40 2021  reading relations for dependency 4
Tue May 25 15:08:50 2021  read 8643524 cycles
Tue May 25 15:09:08 2021  cycles contain 25635870 unique relations
Tue May 25 15:16:13 2021  read 25635870 relations
Tue May 25 15:19:45 2021  multiplying 25635870 relations
Tue May 25 16:01:17 2021  multiply complete, coefficients have about 860.26 million bits
Tue May 25 16:01:25 2021  initial square root is modulo 52216291
Tue May 25 16:48:52 2021  sqrtTime: 23522
Tue May 25 16:48:52 2021  p92 factor: 14700923310335945686840920404810318710255464217250815568881625130048483516598109570025509227
Tue May 25 16:48:52 2021  p143 factor: 40769216328976349124617455381019709796995556613558742759645137088214149385008873582378785718451484854996815620720234306137200672980794041160061
Tue May 25 16:48:52 2021  elapsed time 06:32:05
Tue May 25 16:48:52 2021 -> Computing 1.62193e+09 scale for this machine...
Tue May 25 16:48:52 2021 -> procrels -speedtest> PIPE
Tue May 25 16:48:57 2021 -> Factorization summary written to s255-2043.txt

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)

5×10255+6

c220

name 名前ebina
date 日付December 28, 2022 03:34:48 UTC 2022 年 12 月 28 日 (水) 12 時 34 分 48 秒 (日本時間)
composite number 合成数
8092502777991342646362393176111494139165568500055031929149723349660199860051382619627750933058289415886862767333728626995903570705064397541875112789708793074495570310757962994259732914478928740788119848595139040236317189<220>
prime factors 素因数
812914020266365013393390002443489775846264979539<48>
composite cofactor 合成数の残り
9954930750658842596456732997439125361440545762501141366278112450326060644194592893681648761715218775151159403899830504529685118587901281052864484971309925167616982496641351<172>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:245644055 43e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 8092502777991342646362393176111494139165568500055031929149723349660199860051382619627750933058289415886862767333728626995903570705064397541875112789708793074495570310757962994259732914478928740788119848595139040236317189 (220 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:245644055
Step 1 took 114484ms
Step 2 took 62953ms
********** Factor found in step 2: 812914020266365013393390002443489775846264979539
Found probable prime factor of 48 digits: 812914020266365013393390002443489775846264979539
Composite cofactor 9954930750658842596456732997439125361440545762501141366278112450326060644194592893681648761715218775151159403899830504529685118587901281052864484971309925167616982496641351 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62400ebinaNovember 15, 2021 22:27:13 UTC 2021 年 11 月 16 日 (火) 7 時 27 分 13 秒 (日本時間)
4511e66000ebinaDecember 28, 2022 03:33:17 UTC 2022 年 12 月 28 日 (水) 12 時 33 分 17 秒 (日本時間)
5043e65247 / 6110ebinaDecember 28, 2022 03:34:07 UTC 2022 年 12 月 28 日 (水) 12 時 34 分 7 秒 (日本時間)

5×10256+6

c224

composite cofactor 合成数の残り
62375091450199320650787204755555749215962907811063919390038311791311564766145637224015344480858533280891569161621265985743549595082122898933083609588126943381130350709420741577183261144488197176174007054856918768877706748811<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 19, 2022 09:18:43 UTC 2022 年 2 月 19 日 (土) 18 時 18 分 43 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:26 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 26 秒 (日本時間)

5×10259+6

c210

composite cofactor 合成数の残り
669141881981429772000573487677218076959663558652603345692772869227755837627413358911664610677167863547300075727783808860325685635505715174825031498369772696942751728892091421374970755273181457627925394296490269<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 17, 2022 23:35:56 UTC 2022 年 2 月 18 日 (金) 8 時 35 分 56 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:35 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 35 秒 (日本時間)

5×10260+6

c225

composite cofactor 合成数の残り
584317119010520218766679301410678195933202521852214094104377946461057858383849451571159040169229326551252525703514110165332211739768067066156409633228051654408061644299574459144543850408126677628078480617720356015622745425581<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 16, 2022 08:28:25 UTC 2022 年 2 月 16 日 (水) 17 時 28 分 25 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:44 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 44 秒 (日本時間)

5×10261+6

c251

composite cofactor 合成数の残り
53260076876203832311460320572811329180660918481163051330824946915542368686993443165165573642253168066101024827550903002801956167471564091362144392811668619061107748456030705215069250452974775494969357072228487744648926698157622650725871999866742776359<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 03:57:25 UTC 2022 年 3 月 3 日 (木) 12 時 57 分 25 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:12 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 12 秒 (日本時間)

5×10262+6

c171

name 名前Ignacio Santos
date 日付November 16, 2021 14:11:09 UTC 2021 年 11 月 16 日 (火) 23 時 11 分 9 秒 (日本時間)
composite number 合成数
600471050509395854729111297490158978428164622625864775933374947142068966596978888652442975930047143307383566059047185445590084604698423172270072146074285941645786337798661<171>
prime factors 素因数
10335985857938894358606014892802869559399<41>
58095188863690664553009861169789279479544538763699457110739383845467276359126494493443471979626737721190530568697036438736932277939<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:984488686
Step 1 took 26078ms
Step 2 took 12047ms
********** Factor found in step 2: 10335985857938894358606014892802869559399
Found prime factor of 41 digits: 10335985857938894358606014892802869559399
Prime cofactor 58095188863690664553009861169789279479544538763699457110739383845467276359126494493443471979626737721190530568697036438736932277939 has 131 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosNovember 15, 2021 19:04:41 UTC 2021 年 11 月 16 日 (火) 4 時 4 分 41 秒 (日本時間)

5×10263+6

c250

name 名前Dmitry Domanov
date 日付August 22, 2023 15:59:44 UTC 2023 年 8 月 23 日 (水) 0 時 59 分 44 秒 (日本時間)
composite number 合成数
7868148434991583957443728129911278644810680008272599953707700976569424745407974774854594815191684955213132013932701983821228374656064054510336506440438095779317347764921001429134552839165920640859857285376613818124055268144319822670993242146531478691<250>
prime factors 素因数
1321856072849575646003192354077919683<37>
composite cofactor 合成数の残り
5952348819663789662375227580497938407922718320996582252925833048506097205205753428453430681981767737475049286585852180525385744531941968360051720942534839473084174433099831082350277239639214498698740356109446095777<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @5ea3345fca93 with GMP-ECM 7.0.5-dev on Sat Aug 19 22:48:54 2023 
Input number is 7868148434991583957443728129911278644810680008272599953707700976569424745407974774854594815191684955213132013932701983821228374656064054510336506440438095779317347764921001429134552839165920640859857285376613818124055268144319822670993242146531478691 (250 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3990220175
Step 1 took 0ms
Step 2 took 6962ms
********** Factor found in step 2: 1321856072849575646003192354077919683
Found prime factor of 37 digits: 1321856072849575646003192354077919683
Composite cofactor 5952348819663789662375227580497938407922718320996582252925833048506097205205753428453430681981767737475049286585852180525385744531941968360051720942534839473084174433099831082350277239639214498698740356109446095777 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 02:41:46 UTC 2022 年 3 月 3 日 (木) 11 時 41 分 46 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:25 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 25 秒 (日本時間)

5×10264+6

c264

composite cofactor 合成数の残り
227272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727272727273<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 1, 2022 22:24:37 UTC 2022 年 3 月 2 日 (水) 7 時 24 分 37 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:33 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 33 秒 (日本時間)

5×10265+6

c234

composite cofactor 合成数の残り
242661960913692108050205891219227107669729786475069324407485109210353234019667916167582658265867213130321643989013392742478031981576572504715693862388418138641002821333400045784481884209188514400436551019207934811266942376746583253101<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 06:17:51 UTC 2022 年 3 月 3 日 (木) 15 時 17 分 51 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:41 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 41 秒 (日本時間)

5×10266+6

c257

composite cofactor 合成数の残り
17357559225329129610117332574206081319340556034005991059740977327546489072161620268676966335105322096152155032219570435306198775381858094567483193277188692145959446969636316599183321881129349697844562852873420680668202034937214808528140354715812941877516757<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 7, 2022 00:56:59 UTC 2022 年 3 月 7 日 (月) 9 時 56 分 59 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:50 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 50 秒 (日本時間)

5×10267+6

c211

composite cofactor 合成数の残り
3423701886640099249586845746934869041698974052234606548771069884755203200028818385553483474871645528033614874127685075693376782447866453669934515132088128238892394417247357664983242702760726753397363595615839011<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 19, 2022 23:11:44 UTC 2022 年 2 月 20 日 (日) 8 時 11 分 44 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:13:54 UTC 2023 年 8 月 18 日 (金) 20 時 13 分 54 秒 (日本時間)

5×10269+6

c252

composite cofactor 合成数の残り
541938427527278845476576852140745934013814875054102501529166906487387486539318103669464470967285050793765230455036357177631214501524708017352003489646039498534831621595994997082154069502705732545164353567301322097434043361288483852749141405796937450253<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 7, 2022 00:36:14 UTC 2022 年 3 月 7 日 (月) 9 時 36 分 14 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:06:58 UTC 2023 年 8 月 20 日 (日) 7 時 6 分 58 秒 (日本時間)

5×10270+6

c259

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:36:31 UTC 2022 年 4 月 15 日 (金) 9 時 36 分 31 秒 (日本時間)
composite number 合成数
1404060756206152050226536320953600088310304943321627748193781053382079283420364054068130418413970408569294089099429847014130400093171244604506325606404798917507152421667754700709922871340015799176664458332825909684009534756171336237466795582271568257165655977<259>
prime factors 素因数
6966385888477676958472014549728972449<37>
composite cofactor 合成数の残り
201547944469807877677808021082496821416650242716576259042241015380046249190110149491404863327539579563224780825493214975004280720182207536114731678557611157162647125675454086032437523328444450132192323552063072547062692873<222>
factorization results 素因数分解の結果
Run 125 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:322689752
Step 1 took 26218ms
Step 2 took 10157ms
********** Factor found in step 2: 6966385888477676958472014549728972449
Found prime factor of 37 digits: 6966385888477676958472014549728972449
Composite cofactor 201547944469807877677808021082496821416650242716576259042241015380046249190110149491404863327539579563224780825493214975004280720182207536114731678557611157162647125675454086032437523328444450132192323552063072547062692873 has 222 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 7, 2022 18:35:43 UTC 2022 年 3 月 8 日 (火) 3 時 35 分 43 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:02 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 2 秒 (日本時間)

5×10271+6

c262

composite cofactor 合成数の残り
7254126196961761346920664154054202051560379679212552089402936286145790737315883454615422254478606764885467463954368071204497128565713393596042710970734432333471517376702623177544460982688289269658895047452778017085758917393092131642883259017194634936823099693817<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 17:12:25 UTC 2022 年 3 月 7 日 (月) 2 時 12 分 25 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:06 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 6 秒 (日本時間)

5×10274+6

c256

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:36:36 UTC 2022 年 4 月 15 日 (金) 9 時 36 分 36 秒 (日本時間)
composite number 合成数
1112368010787145092007518317981362837992505068492297556765528660990572050709392685373358357854109615194279944205469257324801964961589822463620137110861782607582084108257666735907258781017821310708853091989312312009112405700961169834433718697490761223414071<256>
prime factors 素因数
133167465153094627726034396645036249177<39>
composite cofactor 合成数の残り
8353151496188070211890257732417790613573697542798727089930705876434171963349793935034855745712315299154988507131421985701533961434078729902296100997691730498925816338343854246628300143988176359743875134232189931179023<217>
factorization results 素因数分解の結果
Run 79 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1659179333
Step 1 took 26363ms
Step 2 took 4921ms
********** Factor found in step 2: 133167465153094627726034396645036249177
Found prime factor of 39 digits: 133167465153094627726034396645036249177
Composite cofactor 8353151496188070211890257732417790613573697542798727089930705876434171963349793935034855745712315299154988507131421985701533961434078729902296100997691730498925816338343854246628300143988176359743875134232189931179023 has 217 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 17:22:39 UTC 2022 年 3 月 7 日 (月) 2 時 22 分 39 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:10 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 10 秒 (日本時間)

5×10275+6

c260

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:36:41 UTC 2022 年 4 月 15 日 (金) 9 時 36 分 41 秒 (日本時間)
composite number 合成数
12191668943193196551750635641434435479705377065434370087225091654777158684524590935492741213323653663941184853805210418628356289723839315118381068602739032432028699774613539076349083434749228616986767641123086399624211846162742075945841271629799514171990161621<260>
prime factors 素因数
1504204044040677059239838162642311<34>
composite cofactor 合成数の残り
8105063266844605300836806822041017576386219320340094675574827958092997328090930842885543550122092112707819334699425918217007303242266549092266761108043180573633947850244618605585243891725253643368499570658410988622379461494211<226>
factorization results 素因数分解の結果
Run 292 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1562418229
Step 1 took 26445ms
Step 2 took 10237ms
********** Factor found in step 2: 1504204044040677059239838162642311
Found prime factor of 34 digits: 1504204044040677059239838162642311
Composite cofactor 8105063266844605300836806822041017576386219320340094675574827958092997328090930842885543550122092112707819334699425918217007303242266549092266761108043180573633947850244618605585243891725253643368499570658410988622379461494211 has 226 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 18:47:07 UTC 2022 年 3 月 7 日 (月) 3 時 47 分 7 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:18 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 18 秒 (日本時間)

5×10276+6

c253

name 名前Dmitry Domanov
date 日付August 22, 2023 00:13:02 UTC 2023 年 8 月 22 日 (火) 9 時 13 分 2 秒 (日本時間)
composite number 合成数
2137038123180589047753265161899683397672661921181197979971727222009198516107902768607858181429299992386474272966597750372045609795057286903079830820221702710843932759546100032422300499542275764557773267963245021109099789888685313603170771230271952428589<253>
prime factors 素因数
2333203708386233354202801844803662723947<40>
composite cofactor 合成数の残り
915924364211934686488000776975313355762747088429593089508790109932254977279390410863936341535676887565203913177295748957331096292707926912386541457308904382348446011587476494853780499271361982468844118679377791687<213>
factorization results 素因数分解の結果
Resuming ECM residue saved by @5ea3345fca93 with GMP-ECM 7.0.5-dev on Sat Aug 19 23:15:42 2023 
Input number is 2137038123180589047753265161899683397672661921181197979971727222009198516107902768607858181429299992386474272966597750372045609795057286903079830820221702710843932759546100032422300499542275764557773267963245021109099789888685313603170771230271952428589 (253 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3857894663
Step 1 took 0ms
Step 2 took 6415ms
********** Factor found in step 2: 2333203708386233354202801844803662723947
Found prime factor of 40 digits: 2333203708386233354202801844803662723947
Composite cofactor 915924364211934686488000776975313355762747088429593089508790109932254977279390410863936341535676887565203913177295748957331096292707926912386541457308904382348446011587476494853780499271361982468844118679377791687 has 213 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 17:33:48 UTC 2022 年 3 月 7 日 (月) 2 時 33 分 48 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:15 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 15 秒 (日本時間)

5×10278+6

c273

composite cofactor 合成数の残り
181421956265697534765889479195618587187400898256389862721634132871989393346748882259327447037488307354918675793884338423065842382055772012107375673347590680136400283598802034538386346038433878590975491345084154388633406458476505493819679637852747780665209001722057208874001<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 9, 2022 15:05:56 UTC 2022 年 3 月 10 日 (木) 0 時 5 分 56 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:22 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 22 秒 (日本時間)

5×10279+6

c207

composite cofactor 合成数の残り
128219860933156369026798813468756050641083998325330659082257383869279505809600039762412425745822508961732840981046110868338684357836746911947601371117603558094930173398691373048702884799106599419496173074531<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 23, 2022 17:31:09 UTC 2022 年 2 月 24 日 (木) 2 時 31 分 9 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:26 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 26 秒 (日本時間)

5×10280+6

c243

composite cofactor 合成数の残り
498153798498491509536978749790081761157704804273301926797721050772118652696831047329119064468771325446386930420440521724155726010017098048615992393512841272175759100617757614225268501477028645506898492122734682231485055660728901220451489209569<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 19:58:08 UTC 2022 年 3 月 4 日 (金) 4 時 58 分 8 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:32 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 32 秒 (日本時間)

5×10281+6

c246

composite cofactor 合成数の残り
774670484944469341683053080161332823971074469723223877614240214843271477743035344993763205970204417729680722818732079595897998479300648483157295040329170740382986719954557846368495305421320498512562426324806718329817821233717225041867158696851539<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 3, 2022 15:46:49 UTC 2022 年 3 月 4 日 (金) 0 時 46 分 49 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:41 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 41 秒 (日本時間)

5×10283+6

c269

name 名前Dmitry Domanov
date 日付August 22, 2023 15:59:16 UTC 2023 年 8 月 23 日 (水) 0 時 59 分 16 秒 (日本時間)
composite number 合成数
25359221832972819000791138307751264924540342642212588811793668485333333335545755700535409759750514855332224649532916638839629830901217303057604835748574598613558917862240491014971576981426103083388402823796377543960889684029189936386295495790258244703076548540831815309<269>
prime factors 素因数
814910257699428556419597353523490957706383<42>
composite cofactor 合成数の残り
31119036229295217244720524319718044346592388575967819630350324755679121220393950811297281199479846278518033447953258375191237231455275958401164710467201076439997386788970594115398268325274596404436367520905888242765615914719523<227>
factorization results 素因数分解の結果
Resuming ECM residue saved by @5ea3345fca93 with GMP-ECM 7.0.5-dev on Sat Aug 19 23:33:30 2023 
Input number is 25359221832972819000791138307751264924540342642212588811793668485333333335545755700535409759750514855332224649532916638839629830901217303057604835748574598613558917862240491014971576981426103083388402823796377543960889684029189936386295495790258244703076548540831815309 (269 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1619816534
Step 1 took 0ms
Step 2 took 6675ms
********** Factor found in step 2: 814910257699428556419597353523490957706383
Found prime factor of 42 digits: 814910257699428556419597353523490957706383
Composite cofactor 31119036229295217244720524319718044346592388575967819630350324755679121220393950811297281199479846278518033447953258375191237231455275958401164710467201076439997386788970594115398268325274596404436367520905888242765615914719523 has 227 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 7, 2022 12:45:22 UTC 2022 年 3 月 7 日 (月) 21 時 45 分 22 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:07:51 UTC 2023 年 8 月 20 日 (日) 7 時 7 分 51 秒 (日本時間)

5×10284+6

c273

composite cofactor 合成数の残り
118292315777855675341986396495331726905528303642975269646043873406149159275089052050808837269381439669391605734100214690676532828347086232846100427220302593002456238390744786019161829649791301442606977351051515413081527159960176011287532695489559217763675416009372659216131<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 9, 2022 14:15:30 UTC 2022 年 3 月 9 日 (水) 23 時 15 分 30 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:01 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 1 秒 (日本時間)

5×10285+6

c215

composite cofactor 合成数の残り
43562803969711134818901958727331588629928053617270971175543546985206637873164407986266399641224928793678946143205961210314800602522924723892542033407796160108152920159846910911460327491128805402905490371206012289693<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 21, 2022 02:00:52 UTC 2022 年 2 月 21 日 (月) 11 時 0 分 52 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:35 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 35 秒 (日本時間)

5×10287+6

c281

composite cofactor 合成数の残り
96638488172028878672697423733871519516529240293920163465935512750288852441146194318352692599540541971834905899238527368599681247610613379946585974817556198180026679953814533732823958304744447249108123392660345478729675476360099746381951641327410811372881152827584180820661772635923<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 9, 2022 23:51:11 UTC 2022 年 3 月 10 日 (木) 8 時 51 分 11 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:09 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 9 秒 (日本時間)

5×10288+6

c203

name 名前Marlon Trifunovic
date 日付February 21, 2022 17:54:09 UTC 2022 年 2 月 22 日 (火) 2 時 54 分 9 秒 (日本時間)
composite number 合成数
29736714220407933562010494709938699089646516430020310052765834462083099173152562297063869906120332459786217389522990359832623938645853131225796281942939099053407701896535776285214281803834959688714095871<203>
prime factors 素因数
8065249397980221666148632706449617<34>
composite cofactor 合成数の残り
3687017319991975854021950174379773039188785440043320558730075440525732095407551917352046449481626919950975438485870172567905309996496855990729564198736460360939154810063<169>
factorization results 素因数分解の結果
Run 520 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2899392073
Step 1 took 19018ms
Step 2 took 7755ms
********** Factor found in step 2: 8065249397980221666148632706449617
Found prime factor of 34 digits: 8065249397980221666148632706449617
Composite cofactor 3687017319991975854021950174379773039188785440043320558730075440525732095407551917352046449481626919950975438485870172567905309996496855990729564198736460360939154810063 has 169 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

c169

name 名前Ignacio Santos
date 日付March 3, 2022 20:51:44 UTC 2022 年 3 月 4 日 (金) 5 時 51 分 44 秒 (日本時間)
composite number 合成数
3687017319991975854021950174379773039188785440043320558730075440525732095407551917352046449481626919950975438485870172567905309996496855990729564198736460360939154810063<169>
prime factors 素因数
371201337384972738931546632861863714859586437581797<51>
9932661735451054856639129848327846537986883560734785476739775460830172537520098335892269635564742028907125166641097379<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1150110781
Step 1 took 26172ms
Step 2 took 11875ms
********** Factor found in step 2: 371201337384972738931546632861863714859586437581797
Found prime factor of 51 digits: 371201337384972738931546632861863714859586437581797
Prime cofactor 9932661735451054856639129848327846537986883560734785476739775460830172537520098335892269635564742028907125166641097379 has 118 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosFebruary 22, 2022 15:50:18 UTC 2022 年 2 月 23 日 (水) 0 時 50 分 18 秒 (日本時間)

5×10290+6

c251

composite cofactor 合成数の残り
96883194909075189516458637058017337334795911716677348383612720362699296215277070378127017125643354357269034805059584983828879229181544243675678643729355064338846455081579427863365139743171696969857065352277088754362566969247291567423411227237391004461<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 2, 2022 00:41:40 UTC 2022 年 3 月 2 日 (水) 9 時 41 分 40 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:18 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 18 秒 (日本時間)

5×10293+6

c260

composite cofactor 合成数の残り
50635329701677665063356111131243119977889933496223842767181290333093424406472519525964041604160863133116214434595534827766906272757497876452204602160026247538691775214332225129817076511519016848516423818212063666126239917133001466628005702864092993936639844473<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 20:44:13 UTC 2022 年 3 月 7 日 (月) 5 時 44 分 13 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:30 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 30 秒 (日本時間)

5×10294+6

c256

composite cofactor 合成数の残り
3389708290032151989419816200880684270899118378064927731092801165880051765878272250732108264585348925309397076031473151140530564854794379275340470302429531170028513867952012885743352566537455214100162820629952516758438039892726517230830105221253856825051981<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 17:15:42 UTC 2022 年 3 月 7 日 (月) 2 時 15 分 42 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:39 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 39 秒 (日本時間)

5×10296+6

c287

name 名前Dmitry Domanov
date 日付August 22, 2023 11:14:59 UTC 2023 年 8 月 22 日 (火) 20 時 14 分 59 秒 (日本時間)
composite number 合成数
51691023973051992080146942594893716546250313881595685724554688553474375982293703716662222227626576213075889163081674122676799057928855038891808493264108860141916536033231494358942736367500350383987629654814675830440093505415048599515124424643985893237531527314389659110084134707014410813<287>
prime factors 素因数
6855394337477103352632101987477101609<37>
7540197022725191599885957075865345032545575437368392177102624563804363687877513326162196692668230065745804194758144394698512148032707230830269569731426218323744472338202066995986348564458788729276517357959410918500523110741955334041367006921806419957<250>
factorization results 素因数分解の結果
Resuming ECM residue saved by @5ea3345fca93 with GMP-ECM 7.0.5-dev on Sat Aug 19 22:26:33 2023 
Input number is 51691023973051992080146942594893716546250313881595685724554688553474375982293703716662222227626576213075889163081674122676799057928855038891808493264108860141916536033231494358942736367500350383987629654814675830440093505415048599515124424643985893237531527314389659110084134707014410813 (287 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3715908435
Step 1 took 0ms
Step 2 took 9912ms
********** Factor found in step 2: 6855394337477103352632101987477101609
Found prime factor of 37 digits: 6855394337477103352632101987477101609
Prime cofactor 7540197022725191599885957075865345032545575437368392177102624563804363687877513326162196692668230065745804194758144394698512148032707230830269569731426218323744472338202066995986348564458788729276517357959410918500523110741955334041367006921806419957 has 250 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 9, 2022 23:55:28 UTC 2022 年 3 月 10 日 (木) 8 時 55 分 28 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:47 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 47 秒 (日本時間)

5×10297+6

c259

composite cofactor 合成数の残り
3559317712518327504331730440742697024408622492729447904412473169853430378875620189711565712817115766937464834246059469777560895536370937638073292511147585656983094582417085353256991013342395786135502425280192278662395931075159598315957529965927521317559428141<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicMarch 6, 2022 20:06:34 UTC 2022 年 3 月 7 日 (月) 5 時 6 分 34 秒 (日本時間)
1792Dmitry DomanovAugust 19, 2023 22:08:55 UTC 2023 年 8 月 20 日 (日) 7 時 8 分 55 秒 (日本時間)

5×10299+6

c247

name 名前Marlon Trifunovic
date 日付February 28, 2022 23:26:56 UTC 2022 年 3 月 1 日 (火) 8 時 26 分 56 秒 (日本時間)
composite number 合成数
1774786631787066064503004145839034016637040803221553363976072608562317018379726611565808540729306911736650670895811995507965179388293096765118966772766068624328636798050657638093119874084446092792376021288746449760026087685813372842795081209016187<247>
prime factors 素因数
65929225238261364750255673708332900301<38>
composite cofactor 合成数の残り
26919573609020456677942514869131867776491788704438603934019914649639982104568893521130800053703972636558651673541337962543411899703880006261892070406213244004836061280026311792657233928321447496783653339690087<209>
factorization results 素因数分解の結果
Run 164 out of 602:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3575905908
Step 1 took 24725ms
Step 2 took 9308ms
********** Factor found in step 2: 65929225238261364750255673708332900301
Found prime factor of 38 digits: 65929225238261364750255673708332900301
Composite cofactor 26919573609020456677942514869131867776491788704438603934019914649639982104568893521130800053703972636558651673541337962543411899703880006261892070406213244004836061280026311792657233928321447496783653339690087 has 209 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e62394602Marlon TrifunovicFebruary 22, 2022 03:06:15 UTC 2022 年 2 月 22 日 (火) 12 時 6 分 15 秒 (日本時間)
1792Dmitry DomanovAugust 18, 2023 11:14:42 UTC 2023 年 8 月 18 日 (金) 20 時 14 分 42 秒 (日本時間)

5×10300+6

c284

composite cofactor 合成数の残り
39187969369614927218255991877153334651539036005390119278763695290660633625726909672914114680591533551495603830680004366202588051983680623188536926611465337987846725770508432031017796730953441207101570420362367468149863891843464609302982686190015924577337098009105430456712214093111271<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 14, 2021 10:00:00 UTC 2021 年 11 月 14 日 (日) 19 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovNovember 15, 2021 12:27:14 UTC 2021 年 11 月 15 日 (月) 21 時 27 分 14 秒 (日本時間)
4511e63584Dmitry DomanovNovember 15, 2021 15:28:59 UTC 2021 年 11 月 16 日 (火) 0 時 28 分 59 秒 (日本時間)
5043e6200 / 6698Dmitry DomanovNovember 16, 2021 22:31:20 UTC 2021 年 11 月 17 日 (水) 7 時 31 分 20 秒 (日本時間)