Table of contents 目次

5×10133+9×1066-59

c108

name 名前ebina
date 日付May 20, 2022 01:10:54 UTC 2022 年 5 月 20 日 (金) 10 時 10 分 54 秒 (日本時間)
composite number 合成数
287847046914681440651698738071896267754610518033351130221000001068899273945303915879591268053431290953944273<108>
prime factors 素因数
35187833897224332528602303502935684874592757379263<50>
8180300263875783328635206016523534960483250282134329628271<58>
factorization results 素因数分解の結果
Fri May 20 09:44:17 2022  Msieve v. 1.53 (SVN unknown)
Fri May 20 09:44:17 2022  random seeds: 09ef59f0 0e5111aa
Fri May 20 09:44:17 2022  factoring 287847046914681440651698738071896267754610518033351130221000001068899273945303915879591268053431290953944273 (108 digits)
Fri May 20 09:44:17 2022  searching for 15-digit factors
Fri May 20 09:44:18 2022  commencing number field sieve (108-digit input)
Fri May 20 09:44:18 2022  R0: -1000000000000000000000000000000000
Fri May 20 09:44:18 2022  R1: 1
Fri May 20 09:44:18 2022  A0: -5
Fri May 20 09:44:18 2022  A1: 0
Fri May 20 09:44:18 2022  A2: 9
Fri May 20 09:44:18 2022  A3: 0
Fri May 20 09:44:18 2022  A4: 50
Fri May 20 09:44:18 2022  skew 0.56, size 7.011e-14, alpha 0.650, combined = 9.720e-09 rroots = 2
Fri May 20 09:44:18 2022  
Fri May 20 09:44:18 2022  commencing square root phase
Fri May 20 09:44:18 2022  reading relations for dependency 1
Fri May 20 09:44:18 2022  read 91013 cycles
Fri May 20 09:44:18 2022  cycles contain 310508 unique relations
Fri May 20 09:44:22 2022  read 310508 relations
Fri May 20 09:44:23 2022  multiplying 310508 relations
Fri May 20 09:44:27 2022  multiply complete, coefficients have about 7.85 million bits
Fri May 20 09:44:27 2022  initial square root is modulo 1072355311
Fri May 20 09:44:32 2022  sqrtTime: 14
Fri May 20 09:44:33 2022  p50 factor: 35187833897224332528602303502935684874592757379263
Fri May 20 09:44:33 2022  p58 factor: 8180300263875783328635206016523534960483250282134329628271
Fri May 20 09:44:33 2022  elapsed time 00:00:16

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10137+9×1068-59

c85

name 名前anonymous
date 日付May 18, 2022 20:16:27 UTC 2022 年 5 月 19 日 (木) 5 時 16 分 27 秒 (日本時間)
composite number 合成数
7319179858485010192919642992278219589931935384563880987017283725393990311014176518393<85>
prime factors 素因数
413797287695779766102185324648238549687<39>
17687839133121647600418372465503402431850213839<47>
factorization results 素因数分解の結果
p39:413797287695779766102185324648238549687
p47:17687839133121647600418372465503402431850213839
software ソフトウェア
ECM
execution environment 実行環境
http://factordb.com/index.php?id=1100000002999037762

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10145+9×1072-59

c93

name 名前anonymous
date 日付May 18, 2022 20:17:40 UTC 2022 年 5 月 19 日 (木) 5 時 17 分 40 秒 (日本時間)
composite number 合成数
423821461168727254766331201057445027618378292135646916656168149274218075761120997625173769241<93>
prime factors 素因数
100001593220228065864547277301499551647443<42>
4238147088670560663758143105774958249664720942101987<52>
factorization results 素因数分解の結果
p42:100001593220228065864547277301499551647443
p52:4238147088670560663758143105774958249664720942101987
software ソフトウェア
ECM
execution environment 実行環境
http://factordb.com/index.php?id=1100000002999019009

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10147+9×1073-59

c109

name 名前Eric Jeancolas
date 日付May 24, 2022 13:10:15 UTC 2022 年 5 月 24 日 (火) 22 時 10 分 15 秒 (日本時間)
composite number 合成数
2133247602551326359469853165128828389216802272706523702594138215638545322023541222935768389692556782717069593<109>
prime factors 素因数
244378044267003502442444453559906981297278561<45>
8729293210238537216907727228101292928732309266027791805744080313<64>
factorization results 素因数分解の結果
2133247602551326359469853165128828389216802272706523702594138215638545322023541222935768389692556782717069593=244378044267003502442444453559906981297278561*8729293210238537216907727228101292928732309266027791805744080313

cado polynomial
n: 2133247602551326359469853165128828389216802272706523702594138215638545322023541222935768389692556782717069593
skew: 0.36
type: snfs
c0: -2
c2: 9
c4: 125
Y0: 2000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^4+9*x^2-2
# g(x) = -x+200000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 8729293210238537216907727228101292928732309266027791805744080313 244378044267003502442444453559906981297278561
Info:Square Root: Total cpu/real time for sqrt: 41.57/32.5822
Info:Filtering - Singleton removal: Total cpu/real time for purge: 34.7/50.757
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6035765
Info:Lattice Sieving: Average J: 1893.67 for 155741 special-q, max bucket fill -bkmult 1.0,1s:1.321210
Info:Lattice Sieving: Total time: 22755.1s
Info:Linear Algebra: Total cpu/real time for bwc: 1206.12/1152.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 590.39, WCT time 572.06, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8064 iterations)
Info:Linear Algebra: Lingen CPU time 270.46, WCT time 240.19
Info:Linear Algebra: Mksol: CPU time 321.21,  WCT time 317.83, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.2/40.6613
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 40.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 51.57/76.7795
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.1s
Info:Filtering - Merging: Merged matrix has 255721 rows and total weight 43675310 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.49/43.6358
Info:Filtering - Merging: Total cpu/real time for replay: 8.9/9.74735
Info:Generate Factor Base: Total cpu/real time for makefb: 1.26/0.732007
Info:Quadratic Characters: Total cpu/real time for characters: 8.38/7.17873
Info:Square Root: Total cpu/real time for sqrt: 41.57/32.5822
Info:Generate Free Relations: Total cpu/real time for freerel: 44.32/12.7747
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25936.7/12982.6
Info:root: Cleaning up computation data in /tmp/cado.phvlec2h
8729293210238537216907727228101292928732309266027791805744080313 244378044267003502442444453559906981297278561
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10149+9×1074-59

c117

name 名前Eric Jeancolas
date 日付May 24, 2022 06:41:21 UTC 2022 年 5 月 24 日 (火) 15 時 41 分 21 秒 (日本時間)
composite number 合成数
403787487509511755481408259211059503417902631398787623257558602103550561995085435088410172656499545084596216625801803<117>
prime factors 素因数
39376132035457833254601785833845283<35>
10254625496123005544361000638428227562694851493197010455224593456802208128498304441<83>
factorization results 素因数分解の結果
403787487509511755481408259211059503417902631398787623257558602103550561995085435088410172656499545084596216625801803=39376132035457833254601785833845283*10254625496123005544361000638428227562694851493197010455224593456802208128498304441

cado polynomial
n: 403787487509511755481408259211059503417902631398787623257558602103550561995085435088410172656499545084596216625801803
skew: 0.56
type: snfs
c0: -5
c2: 9
c4: 50
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^4+9*x^2-5
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 39376132035457833254601785833845283 10254625496123005544361000638428227562694851493197010455224593456802208128498304441
Info:Square Root: Total cpu/real time for sqrt: 51.2/17.0803
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.55/30.5715
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6055048
Info:Lattice Sieving: Average J: 1894.8 for 211914 special-q, max bucket fill -bkmult 1.0,1s:1.331010
Info:Lattice Sieving: Total time: 18120.2s
Info:Linear Algebra: Total cpu/real time for bwc: 1388.97/358.68
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 852.08, WCT time 217.52, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9728 iterations)
Info:Linear Algebra: Lingen CPU time 46.77, WCT time 11.93
Info:Linear Algebra: Mksol: CPU time 462.31,  WCT time 118.02, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4864 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 44.43/12.9301
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.3/25.386
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.3s
Info:Filtering - Merging: Merged matrix has 307581 rows and total weight 52378583 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 61.62/17.241
Info:Filtering - Merging: Total cpu/real time for replay: 9.76/8.15919
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/0.875072
Info:Quadratic Characters: Total cpu/real time for characters: 9.9/3.88867
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.96/51.3923
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 40.6s
Info:Square Root: Total cpu/real time for sqrt: 51.2/17.0803
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34666.1/9727.95
Info:root: Cleaning up computation data in /tmp/cado.ol0n96_n
39376132035457833254601785833845283 10254625496123005544361000638428227562694851493197010455224593456802208128498304441
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10153+9×1076-59

c150

name 名前anonymous
date 日付May 18, 2022 20:19:18 UTC 2022 年 5 月 19 日 (木) 5 時 19 分 18 秒 (日本時間)
composite number 合成数
104723007644779558068907739030264949209341292281914336579746570321499633469475128285684364854958634411980312074562781443083045345062310189548643837051<150>
prime factors 素因数
834866511617963352547668955076191802362109<42>
125436828747421388475364775439367065856948039248494973502598143428816205570860803325785564447603825154177239<108>
factorization results 素因数分解の結果
p42:834866511617963352547668955076191802362109
p108:125436828747421388475364775439367065856948039248494973502598143428816205570860803325785564447603825154177239
software ソフトウェア
ECM
execution environment 実行環境
http://factordb.com/index.php?id=1100000002668998148

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10163+9×1081-59

c123

name 名前Eric Jeancolas
date 日付May 27, 2022 14:00:28 UTC 2022 年 5 月 27 日 (金) 23 時 0 分 28 秒 (日本時間)
composite number 合成数
565933972919083216732318734108319616286094643983425281478352734514219303867035193705909652232626094236287771964464188936133<123>
prime factors 素因数
912915315910652362137050907996620900008597<42>
619919463564429404826709071097508757890564489240201861506108778614937898860543089<81>
factorization results 素因数分解の結果
565933972919083216732318734108319616286094643983425281478352734514219303867035193705909652232626094236287771964464188936133=912915315910652362137050907996620900008597*619919463564429404826709071097508757890564489240201861506108778614937898860543089

cado polynomial
n: 565933972919083216732318734108319616286094643983425281478352734514219303867035193705909652232626094236287771964464188936133
skew: 0.36
type: snfs
c0: -2
c2: 9
c4: 125
Y0: 20000000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^4+9*x^2-2
# g(x) = -x+20000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 912915315910652362137050907996620900008597 619919463564429404826709071097508757890564489240201861506108778614937898860543089
Info:Square Root: Total cpu/real time for sqrt: 127.79/99.7803
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.8/82.6886
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11623399
Info:Lattice Sieving: Average J: 1892.33 for 705860 special-q, max bucket fill -bkmult 1.0,1s:1.297180
Info:Lattice Sieving: Total time: 147088s
Info:Linear Algebra: Total cpu/real time for bwc: 6888.06/5845.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4002.94, WCT time 3351.96, iteration CPU time 0.13, COMM 0.02, cpu-wait 0.02, comm-wait 0.0 (20736 iterations)
Info:Linear Algebra: Lingen CPU time 602.54, WCT time 538.36
Info:Linear Algebra: Mksol: CPU time 2183.61,  WCT time 1871.72, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (10496 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 88.37/24.4039
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.57/84.4329
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.2s
Info:Filtering - Merging: Merged matrix has 658313 rows and total weight 112061258 (170.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 148.62/110.942
Info:Filtering - Merging: Total cpu/real time for replay: 25.08/27.7964
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/1.3224
Info:Quadratic Characters: Total cpu/real time for characters: 22.04/18.4745
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.29/158.994
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.8s
Info:Square Root: Total cpu/real time for sqrt: 127.79/99.7803
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 141570/80334.7
Info:root: Cleaning up computation data in /tmp/cado._522n3fd
912915315910652362137050907996620900008597 619919463564429404826709071097508757890564489240201861506108778614937898860543089
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10165+9×1082-59

c154

name 名前Bob Backstrom
date 日付May 20, 2022 14:43:46 UTC 2022 年 5 月 20 日 (金) 23 時 43 分 46 秒 (日本時間)
composite number 合成数
2535123272526351715759389897583486439528326098276564866403597599526422295637141512189651234466376800772583909858035536313000688750993758153817102951249361<154>
prime factors 素因数
767549420485498375262253239858926129558187817593858008644944415473<66>
3302879534353382832526764202220267878081355897224768432503476610814429420233016583493857<88>
factorization results 素因数分解の結果
Number: n
N=2535123272526351715759389897583486439528326098276564866403597599526422295637141512189651234466376800772583909858035536313000688750993758153817102951249361  ( 154 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat May 21 00:39:59 2022  p66 factor: 767549420485498375262253239858926129558187817593858008644944415473
Sat May 21 00:39:59 2022  p88 factor: 3302879534353382832526764202220267878081355897224768432503476610814429420233016583493857
Sat May 21 00:39:59 2022  elapsed time 00:10:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 5x10^165+9x10^82-5 = 5(82)65(82)
#
n: 2535123272526351715759389897583486439528326098276564866403597599526422295637141512189651234466376800772583909858035536313000688750993758153817102951249361
m: 100000000000000000000000000000000000000000
deg: 4
c4: 50
c2: 9
c0: -5
skew: 0.56
# Murphy_E = 2.247e-10
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2581355 hash collisions in 15375951 relations (14008022 unique)
Msieve: matrix is 632459 x 632691 (215.6 MB)

Sieving start time : 2022/05/20 23:03:56
Sieving end time  : 2022/05/21 00:29:39

Total sieving time: 1hrs 25min 43secs.

Total relation processing time: 0hrs 6min 2sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 26sec.

Prototype def-par.txt line would be:
snfs,165,4,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10167+9×1083-59

c130

name 名前ebina
date 日付May 25, 2022 00:26:54 UTC 2022 年 5 月 25 日 (水) 9 時 26 分 54 秒 (日本時間)
composite number 合成数
9385668423778791615719710837148941383909929106172534413841925355754520532874980002603404342114161575098662431759215143046116288203<130>
prime factors 素因数
315209338568925152564830543927351659733<39>
29775984640526369848028407428939128457627257695119263321682507788509752700219260673110242591<92>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:4062196589 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 9385668423778791615719710837148941383909929106172534413841925355754520532874980002603404342114161575098662431759215143046116288203 (130 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4062196589
Step 1 took 3047ms
Step 2 took 3562ms
********** Factor found in step 2: 315209338568925152564830543927351659733
Found probable prime factor of 39 digits: 315209338568925152564830543927351659733
Probable prime cofactor 29775984640526369848028407428939128457627257695119263321682507788509752700219260673110242591 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10169+9×1084-59

c130

name 名前Eric Jeancolas
date 日付May 28, 2022 04:53:19 UTC 2022 年 5 月 28 日 (土) 13 時 53 分 19 秒 (日本時間)
composite number 合成数
4965304349994838734592614292520100656479592961022852021094913290397891055748389825854421593039267351783425823316243341159741758879<130>
prime factors 素因数
3619380043128247519554430156588574426189<40>
1371865980037648211537005071745343975621126546042804976327406988849654015269012479027597211<91>
factorization results 素因数分解の結果
4965304349994838734592614292520100656479592961022852021094913290397891055748389825854421593039267351783425823316243341159741758879=3619380043128247519554430156588574426189*1371865980037648211537005071745343975621126546042804976327406988849654015269012479027597211

cado polynomial
n: 4965304349994838734592614292520100656479592961022852021094913290397891055748389825854421593039267351783425823316243341159741758879
skew: 0.56
type: snfs
c0: -5
c2: 9
c4: 50
Y0: 1000000000000000000000000000000000000000000
Y1: -1
# f(x) = 50*x^4+9*x^2-5
# g(x) = -x+1000000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4700000
tasks.lim1 = 4700000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 52
tasks.sieve.mfb1 = 52
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3619380043128247519554430156588574426189 1371865980037648211537005071745343975621126546042804976327406988849654015269012479027597211
Info:Square Root: Total cpu/real time for sqrt: 418.74/132.205
Info:Filtering - Singleton removal: Total cpu/real time for purge: 165.47/192.445
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13509985
Info:Lattice Sieving: Average J: 1893.7 for 1451654 special-q, max bucket fill -bkmult 1.0,1s:1.227810
Info:Lattice Sieving: Total time: 252772s
Info:Linear Algebra: Total cpu/real time for bwc: 18517.2/4750.69
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 11746.23, WCT time 3002.7, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (34048 iterations)
Info:Linear Algebra: Lingen CPU time 215.35, WCT time 54.6
Info:Linear Algebra: Mksol: CPU time 6376.09,  WCT time 1627.8, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17152 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 88.61/59.9374
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.03/61.5525
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.900000000000006s
Info:Filtering - Merging: Merged matrix has 1082437 rows and total weight 184296012 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 254.52/71.1136
Info:Filtering - Merging: Total cpu/real time for replay: 39.32/33.1424
Info:Generate Factor Base: Total cpu/real time for makefb: 2.89/3.47522
Info:Quadratic Characters: Total cpu/real time for characters: 37.08/14.7495
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.27/224.465
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 174.19999999999996s
Info:Square Root: Total cpu/real time for sqrt: 418.74/132.205
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 314543/131904
Info:root: Cleaning up computation data in /tmp/cado.jkbh5tds
3619380043128247519554430156588574426189 1371865980037648211537005071745343975621126546042804976327406988849654015269012479027597211
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10171+9×1085-59

c166

name 名前Bob Backstrom
date 日付May 21, 2022 00:24:40 UTC 2022 年 5 月 21 日 (土) 9 時 24 分 40 秒 (日本時間)
composite number 合成数
4817721506790578463821320344756151025933794871053683870750167415822360972601617790882066995235273429784117899280714179036166635351476872527906651828084425751684998097<166>
prime factors 素因数
22180087542035581351555848684633553167375607207487359288819042991759<68>
217209309821706467591513302709725157387878259711787896974500845997069860213675894891706046425261983<99>
factorization results 素因数分解の結果
Number: n
N=4817721506790578463821320344756151025933794871053683870750167415822360972601617790882066995235273429784117899280714179036166635351476872527906651828084425751684998097  ( 166 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 21 10:20:12 2022  p68 factor: 22180087542035581351555848684633553167375607207487359288819042991759
Sat May 21 10:20:12 2022  p99 factor: 217209309821706467591513302709725157387878259711787896974500845997069860213675894891706046425261983
Sat May 21 10:20:12 2022  elapsed time 00:10:27 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.308).
Factorization parameters were as follows:
#
# N = 5x10^171+9x10^85-5 = 5(85)65(85)
#
n: 4817721506790578463821320344756151025933794871053683870750167415822360972601617790882066995235273429784117899280714179036166635351476872527906651828084425751684998097
m: 2000000000000000000000000000000000000000000
deg: 4
c4: 125
c2: 9
c0: -2
skew: 0.36
# Murphy_E = 1.252e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1777584 hash collisions in 14706351 relations (14334492 unique)
Msieve: matrix is 663917 x 664142 (229.6 MB)

Sieving start time : 2022/05/21 07:48:30
Sieving end time  : 2022/05/21 10:09:26

Total sieving time: 2hrs 20min 56secs.

Total relation processing time: 0hrs 6min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,171,4,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10173+9×1086-59

c143

name 名前Bob Backstrom
date 日付May 24, 2022 01:52:18 UTC 2022 年 5 月 24 日 (火) 10 時 52 分 18 秒 (日本時間)
composite number 合成数
13210523796235637213608333369446354313817051564712772532910494299070228095193883288807888720063248362064447771258542764272568814757846456527901<143>
prime factors 素因数
35299504775161609542450731859661237781<38>
5074444527643227294788472467597688938788215159548717<52>
73750151330686623165206640941518175244433493310733613<53>
factorization results 素因数分解の結果
Number: n
N=13210523796235637213608333369446354313817051564712772532910494299070228095193883288807888720063248362064447771258542764272568814757846456527901  ( 143 digits)
SNFS difficulty: 174 digits.
Divisors found:

Tue May 24 11:46:02 2022  found factor: 73750151330686623165206640941518175244433493310733613
Tue May 24 11:46:44 2022  p38 factor: 35299504775161609542450731859661237781
Tue May 24 11:46:44 2022  p52 factor: 5074444527643227294788472467597688938788215159548717
Tue May 24 11:46:44 2022  p53 factor: 73750151330686623165206640941518175244433493310733613
Tue May 24 11:46:44 2022  elapsed time 00:11:28 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.346).
Factorization parameters were as follows:
#
# N = 5x10^173+9x10^86-5 = 5(86)65(86)
#
n: 13210523796235637213608333369446354313817051564712772532910494299070228095193883288807888720063248362064447771258542764272568814757846456527901
m: 100000000000000000000000000000
deg: 6
c6: 5
c3: 9
c0: -50
skew: 1.47
# Murphy_E = 9.017e-11
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1745075 hash collisions in 15395833 relations (14427203 unique)
Msieve: matrix is 661935 x 662163 (226.1 MB)

Sieving start time : 2022/05/24 09:10:10
Sieving end time  : 2022/05/24 11:34:24

Total sieving time: 2hrs 24min 14secs.

Total relation processing time: 0hrs 6min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 24sec.

Prototype def-par.txt line would be:
snfs,174,6,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10175+9×1087-59

c174

name 名前Bob Backstrom
date 日付May 22, 2022 22:45:55 UTC 2022 年 5 月 23 日 (月) 7 時 45 分 55 秒 (日本時間)
composite number 合成数
370370370370370370370370370370370370370370370370370370370370370370370370370370370370370437037037037037037037037037037037037037037037037037037037037037037037037037037037037037<174>
prime factors 素因数
41545304588763132096553768729005432929621<41>
8914855097019686298652024359438627493169605406644784745584246460653133794202046833789469204713003461063321368131687782183394531427897<133>
factorization results 素因数分解の結果
Number: n
N=370370370370370370370370370370370370370370370370370370370370370370370370370370370370370437037037037037037037037037037037037037037037037037037037037037037037037037037037037037  ( 174 digits)
SNFS difficulty: 175 digits.
Divisors found:

Mon May 23 08:41:35 2022  p41 factor: 41545304588763132096553768729005432929621
Mon May 23 08:41:35 2022  p133 factor: 8914855097019686298652024359438627493169605406644784745584246460653133794202046833789469204713003461063321368131687782183394531427897
Mon May 23 08:41:35 2022  elapsed time 00:14:55 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 5x10^175+9x10^87-5 = 5(87)65(87)
#
n: 370370370370370370370370370370370370370370370370370370370370370370370370370370370370370437037037037037037037037037037037037037037037037037037037037037037037037037037037037037
m: 100000000000000000000000000000
deg: 6
c6: 50
c3: 9
c0: -5
skew: 0.68
# Murphy_E = 8.389e-11
type: snfs
lss: 1
rlim: 5900000
alim: 5900000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5900000/5900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3598364 hash collisions in 28962075 relations (26662052 unique)
Msieve: matrix is 708294 x 708519 (237.3 MB)

Sieving start time : 2022/05/23 04:05:20
Sieving end time  : 2022/05/23 08:25:47

Total sieving time: 4hrs 20min 27secs.

Total relation processing time: 0hrs 7min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 48sec.

Prototype def-par.txt line would be:
snfs,175,6,0,0,0,0,0,0,0,0,5900000,5900000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10177+9×1088-59

c133

name 名前Bob Backstrom
date 日付June 20, 2022 17:03:52 UTC 2022 年 6 月 21 日 (火) 2 時 3 分 52 秒 (日本時間)
composite number 合成数
1029608090057574045342645945461954406237708834791955847768897867537776443589672899233989395801882988346994410745318931593159370987221<133>
prime factors 素因数
15401122635664661885174308530988273443264011<44>
66852794722463395329832873630513383524170735239475982180147839351842389868140556800062111<89>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 1029608090057574045342645945461954406237708834791955847768897867537776443589672899233989395801882988346994410745318931593159370987221 (133 digits)
Using B1=26630000, B2=144285831706, polynomial Dickson(12), sigma=1:97915230
Step 1 took 38854ms
Step 2 took 18063ms
********** Factor found in step 2: 15401122635664661885174308530988273443264011
Found prime factor of 44 digits: 15401122635664661885174308530988273443264011
Prime cofactor 66852794722463395329832873630513383524170735239475982180147839351842389868140556800062111 has 89 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 10, 2022 11:19:20 UTC 2022 年 6 月 10 日 (金) 20 時 19 分 20 秒 (日本時間)

5×10181+9×1090-59

c174

name 名前Bob Backstrom
date 日付May 25, 2022 23:48:15 UTC 2022 年 5 月 26 日 (木) 8 時 48 分 15 秒 (日本時間)
composite number 合成数
100283782043589128078745954514625943348227380358665147046460603751891063813468715636821922325577696509806485294020165323631158215205807241273282722715914267033709320297484619<174>
prime factors 素因数
194915841888292504466049611694614583475576381926774659<54>
1262560086963102857561508737745211698359706098706078181<55>
407503656798861326702842945489176857000232070446525989835012279461<66>
factorization results 素因数分解の結果
umber: n
N=100283782043589128078745954514625943348227380358665147046460603751891063813468715636821922325577696509806485294020165323631158215205807241273282722715914267033709320297484619  ( 174 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu May 26 09:40:35 2022  found factor: 1262560086963102857561508737745211698359706098706078181
Thu May 26 09:44:05 2022  p54 factor: 194915841888292504466049611694614583475576381926774659
Thu May 26 09:44:05 2022  p55 factor: 1262560086963102857561508737745211698359706098706078181
Thu May 26 09:44:05 2022  p66 factor: 407503656798861326702842945489176857000232070446525989835012279461
Thu May 26 09:44:05 2022  elapsed time 00:24:55 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 5x10^181+9x10^90-5 = 5(90)65(90)
#
n: 100283782043589128078745954514625943348227380358665147046460603751891063813468715636821922325577696509806485294020165323631158215205807241273282722715914267033709320297484619
m: 1000000000000000000000000000000
deg: 6
c6: 50
c3: 9
c0: -5
skew: 0.68
# Murphy_E = 5.426e-11
type: snfs
lss: 1
rlim: 7500000
alim: 7500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7500000/7500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3408071 hash collisions in 28713376 relations (26628162 unique)
Msieve: matrix is 937948 x 938173 (319.0 MB)

Sieving start time : 2022/05/26 04:20:31
Sieving end time  : 2022/05/26 09:18:18

Total sieving time: 4hrs 57min 47secs.

Total relation processing time: 0hrs 13min 21sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 39sec.

Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,7500000,7500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10187+9×1093-59

c174

name 名前Ignacio Santos
date 日付June 10, 2022 16:28:40 UTC 2022 年 6 月 11 日 (土) 1 時 28 分 40 秒 (日本時間)
composite number 合成数
143684399379318599388015302936602578421872406314052970779676486364066547055423700485217837133086335998440494958235743999666142489010887927668703764847216106964511145502209587<174>
prime factors 素因数
995810179727831785372244055910623696806009<42>
composite cofactor 合成数の残り
144288944122452598044686856068627845244130772960975234205994711142736303672585413985752075213209227654914595492827709348329755416843<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1480941099
Step 1 took 4937ms
Step 2 took 2860ms
********** Factor found in step 2: 995810179727831785372244055910623696806009
Found prime factor of 42 digits: 995810179727831785372244055910623696806009
Composite cofactor 144288944122452598044686856068627845244130772960975234205994711142736303672585413985752075213209227654914595492827709348329755416843 has 132 digits
 
software ソフトウェア
GMP-ECM

c132

name 名前Ignacio Santos
date 日付June 19, 2022 15:18:14 UTC 2022 年 6 月 20 日 (月) 0 時 18 分 14 秒 (日本時間)
composite number 合成数
144288944122452598044686856068627845244130772960975234205994711142736303672585413985752075213209227654914595492827709348329755416843<132>
prime factors 素因数
25607809915589315153396380848905463103<38>
5634567914947445117723855013579944214277556497563469177797538966085104655764726560203998518581<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1085694520
Step 1 took 4875ms
Step 2 took 2922ms
********** Factor found in step 2: 25607809915589315153396380848905463103
Found prime factor of 38 digits: 25607809915589315153396380848905463103
Prime cofactor 5634567914947445117723855013579944214277556497563469177797538966085104655764726560203998518581 has 94 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10191+9×1095-59

c168

name 名前Bob Backstrom
date 日付June 29, 2022 07:13:08 UTC 2022 年 6 月 29 日 (水) 16 時 13 分 8 秒 (日本時間)
composite number 合成数
409000550252920295854668095123254067073596935498806327621577137062839585461985876612978062666796765751987916027582689211196628985605135120284153884947982587820439878587<168>
prime factors 素因数
607370349848073415661296606034976174343981032141271626403<57>
673395647902843786413174938329806051900427050647342822044979600042281870985560900963663116126903046029995064329<111>
factorization results 素因数分解の結果
Number: n
N=409000550252920295854668095123254067073596935498806327621577137062839585461985876612978062666796765751987916027582689211196628985605135120284153884947982587820439878587  ( 168 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Jun 29 17:06:31 2022  p57 factor: 607370349848073415661296606034976174343981032141271626403
Wed Jun 29 17:06:31 2022  p111 factor: 673395647902843786413174938329806051900427050647342822044979600042281870985560900963663116126903046029995064329
Wed Jun 29 17:06:31 2022  elapsed time 00:47:13 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 5x10^191+9x10^95-5 = 5(95)65(95)
#
n: 409000550252920295854668095123254067073596935498806327621577137062839585461985876612978062666796765751987916027582689211196628985605135120284153884947982587820439878587
m: 100000000000000000000000000000000
deg: 6
c6: 5
c3: 9
c0: -50
skew: 1.47
# Murphy_E = 2.41e-11
type: snfs
lss: 1
rlim: 11400000
alim: 11400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11400000/11400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 25700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3343968 hash collisions in 28778760 relations (26778423 unique)
Msieve: matrix is 1399855 x 1400080 (485.5 MB)

Sieving start time : 2022/06/29 08:44:35
Sieving end time  : 2022/06/29 16:18:17

Total sieving time: 7hrs 33min 42secs.

Total relation processing time: 0hrs 35min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 48sec.

Prototype def-par.txt line would be:
snfs,192,6,0,0,0,0,0,0,0,0,11400000,11400000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 18:10:23 UTC 2022 年 6 月 25 日 (土) 3 時 10 分 23 秒 (日本時間)

5×10193+9×1096-59

c168

name 名前Bob Backstrom
date 日付June 28, 2022 11:11:01 UTC 2022 年 6 月 28 日 (火) 20 時 11 分 1 秒 (日本時間)
composite number 合成数
393457215018118707568853649078698221041299284694752656225090174211876865560403154314884542565819388553381410365406986153466327768223820133701480559848362281572848613817<168>
prime factors 素因数
412419799237399066510296917787760421203<39>
954021159376092356084723575262980389168225887134124841846965141946507931756931309799401539921308683897287706648851652580085142339<129>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 393457215018118707568853649078698221041299284694752656225090174211876865560403154314884542565819388553381410365406986153466327768223820133701480559848362281572848613817 (168 digits)
Using B1=21220000, B2=96186180106, polynomial Dickson(12), sigma=1:2285533996
Step 1 took 49180ms
Step 2 took 19542ms
********** Factor found in step 2: 412419799237399066510296917787760421203
Found prime factor of 39 digits: 412419799237399066510296917787760421203
Prime cofactor 954021159376092356084723575262980389168225887134124841846965141946507931756931309799401539921308683897287706648851652580085142339 has 129 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10199+9×1099-59

c120

name 名前ebina
date 日付May 19, 2022 11:11:52 UTC 2022 年 5 月 19 日 (木) 20 時 11 分 52 秒 (日本時間)
composite number 合成数
981186378287191858337094363109232783957530302791578505177846119316283629453385636258493786771427409679365528454968692041<120>
prime factors 素因数
3908299280770569095756109156723520828766172655376585379749<58>
251052006972643850431133764208396411868742525491811127303050709<63>
factorization results 素因数分解の結果
Number: 55655_99
N = 981186378287191858337094363109232783957530302791578505177846119316283629453385636258493786771427409679365528454968692041 (120 digits)
Divisors found:
r1=3908299280770569095756109156723520828766172655376585379749 (pp58)
r2=251052006972643850431133764208396411868742525491811127303050709 (pp63)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 8.92 hours.
Factorization parameters were as follows:
n:  981186378287191858337094363109232783957530302791578505177846119316283629453385636258493786771427409679365528454968692041
# norm 1.565816e-11 alpha -6.364237 e 2.487e-10 rroots 5
skew: 759075.11
c0: -39056794031158761411646689262515
c1: 76478166916243440264768128
c2: 347671549578242676994
c3: -365337299693652
c4: -764170671
c5: 180
Y0: -352611247278559982760802
Y1: 344128926533
type: gnfs
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10467943
Relations: 1308702 relations
Pruned matrix : 734357 x 734584
Polynomial selection time: 0.03 hours.
Total sieving time: 8.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.14 hours.
Prototype def-par.txt line would be: gnfs,119,5,63,2000,2.6e-05,0.28,250,20,50000,3600,4200000,4200000,27,27,53,53,2.5,2.5,100000
total time: 8.92 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 2, speed: 2.99GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)

5×10209+9×10104-59

c197

composite cofactor 合成数の残り
12862539494742141145238089754270043625842056266388222332083626476601236439074081145729574640263907974620804513704974692331709124852811090141273857850394891178230715693716252698140594325286156531063<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 22, 2022 23:45:13 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 13 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:38:40 UTC 2022 年 8 月 23 日 (火) 22 時 38 分 40 秒 (日本時間)

5×10211+9×10105-59

c196

composite cofactor 合成数の残り
5781555429518130612192303024639983588067476188200304044356422806447964001797763217715956527880941993283334685318874207007143032211556990002537117068719873596476318509626682535885003900621362517903<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 22, 2022 23:45:20 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 20 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:39:18 UTC 2022 年 8 月 23 日 (火) 22 時 39 分 18 秒 (日本時間)

5×10213+9×10106-59

c206

name 名前Dmitry Domanov
date 日付July 31, 2022 09:03:44 UTC 2022 年 7 月 31 日 (日) 18 時 3 分 44 秒 (日本時間)
composite number 合成数
59303507583050559383300452503553910950683262397442737867406726998497071207322749673549016632202433234776835148524745189136380217085233788363216667321970425459375347852136666830937382671716716158408920101511<206>
prime factors 素因数
54842362846039591325222934161297993<35>
composite cofactor 合成数の残り
1081344867461944648448391836759404490903778088647756553988656416028600984195025558039959413242416511151316814021433113673799563051186718143147454920186613248257510190734927<172>
factorization results 素因数分解の結果
Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 15:44:13 2022 
Input number is 59303507583050559383300452503553910950683262397442737867406726998497071207322749673549016632202433234776835148524745189136380217085233788363216667321970425459375347852136666830937382671716716158408920101511 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3089030091
Step 1 took 0ms
Step 2 took 3816ms
********** Factor found in step 2: 54842362846039591325222934161297993
Found prime factor of 35 digits: 54842362846039591325222934161297993
Composite cofactor 1081344867461944648448391836759404490903778088647756553988656416028600984195025558039959413242416511151316814021433113673799563051186718143147454920186613248257510190734927 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 29, 2022 11:23:54 UTC 2022 年 7 月 29 日 (金) 20 時 23 分 54 秒 (日本時間)
4511e61000 / 4038Dmitry DomanovAugust 10, 2022 09:05:53 UTC 2022 年 8 月 10 日 (水) 18 時 5 分 53 秒 (日本時間)

5×10219+9×10109-59

c206

name 名前Dmitry Domanov
date 日付July 31, 2022 09:04:06 UTC 2022 年 7 月 31 日 (日) 18 時 4 分 6 秒 (日本時間)
composite number 合成数
17492089307738163345803030324037259919392816993514908459801106154959516058465412724842758829219902183540325160604847225516096706970205304267381232024560102520481512584796320110200431689473856405416198574669<206>
prime factors 素因数
24845472468349864247966867009419894463<38>
704035285705312133331237359482416055741619753363904149288413278298462364928073266663954761100798734912844508447954879307267952059736800075117097716186667195243053784563<168>
factorization results 素因数分解の結果
Resuming ECM residue saved by @80f64d3c58eb with GMP-ECM 7.0.5-dev on Fri Jul 29 15:47:09 2022 
Input number is 17492089307738163345803030324037259919392816993514908459801106154959516058465412724842758829219902183540325160604847225516096706970205304267381232024560102520481512584796320110200431689473856405416198574669 (206 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1341689394
Step 1 took 0ms
Step 2 took 3380ms
********** Factor found in step 2: 24845472468349864247966867009419894463
Found prime factor of 38 digits: 24845472468349864247966867009419894463
Prime cofactor 704035285705312133331237359482416055741619753363904149288413278298462364928073266663954761100798734912844508447954879307267952059736800075117097716186667195243053784563 has 168 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 29, 2022 11:24:01 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 1 秒 (日本時間)

5×10221+9×10110-59

c176

name 名前Dmitry Domanov
date 日付July 24, 2022 05:16:20 UTC 2022 年 7 月 24 日 (日) 14 時 16 分 20 秒 (日本時間)
composite number 合成数
12042847150761211481476296659922567596244097920103472647299500554920939429918204333132143731149086547249912948178146625217197680553737231858748114207012107093994534103915838331<176>
prime factors 素因数
78275270108716857126649116048343357<35>
composite cofactor 合成数の残り
153852514772990877122817653795926184358724441827933502740302182423536385653276121407457866692471363512770002121256080937585725994071718972183<141>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4288670924
Step 1 took 8485ms
Step 2 took 4115ms
********** Factor found in step 2: 78275270108716857126649116048343357
Found prime factor of 35 digits: 78275270108716857126649116048343357
Composite cofactor 153852514772990877122817653795926184358724441827933502740302182423536385653276121407457866692471363512770002121256080937585725994071718972183 has 141 digits

c141

name 名前Erik Branger
date 日付June 8, 2023 19:08:26 UTC 2023 年 6 月 9 日 (金) 4 時 8 分 26 秒 (日本時間)
composite number 合成数
153852514772990877122817653795926184358724441827933502740302182423536385653276121407457866692471363512770002121256080937585725994071718972183<141>
prime factors 素因数
153995454551700325057994403403509462825746749265874327632719537109<66>
999071792221883670655183029208678036631574645574495075811755395615608579387<75>
factorization results 素因数分解の結果
Number: 55655_110
N = 153852514772990877122817653795926184358724441827933502740302182423536385653276121407457866692471363512770002121256080937585725994071718972183 (141 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=153995454551700325057994403403509462825746749265874327632719537109 (pp66)
r2=999071792221883670655183029208678036631574645574495075811755395615608579387 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 25.51 hours.
Factorization parameters were as follows:
n: 153852514772990877122817653795926184358724441827933502740302182423536385653276121407457866692471363512770002121256080937585725994071718972183
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 50
c2: 9
c0: -5
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30852364
Relations: 7595280 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 9.13 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 6545580 x 6545805
Matrix solve time: 16.02 hours.
time per square root: 0.12 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 25.51 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 22, 2022 23:45:27 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 27 秒 (日本時間)
2350Ignacio SantosJuly 25, 2022 16:47:36 UTC 2022 年 7 月 26 日 (火) 1 時 47 分 36 秒 (日本時間)
4511e64480Ignacio SantosJuly 26, 2022 14:08:10 UTC 2022 年 7 月 26 日 (火) 23 時 8 分 10 秒 (日本時間)
5043e66454Ignacio SantosDecember 23, 2022 16:04:34 UTC 2022 年 12 月 24 日 (土) 1 時 4 分 34 秒 (日本時間)

5×10223+9×10111-59

c175

name 名前Erik Branger
date 日付September 3, 2023 17:08:15 UTC 2023 年 9 月 4 日 (月) 2 時 8 分 15 秒 (日本時間)
composite number 合成数
5281719444307911189558730235314383732832887706281398756182617872212876502853914398014745231096298297870480623366967889256285390399942206128652811793102053844191305339494556691<175>
prime factors 素因数
549230053096113421025264185964021079200976750931185246573618957205217<69>
9616588557989247475971551574062581306386580177758343695622022628305223226842713767644704029457760773195123<106>
factorization results 素因数分解の結果
Number: 55655_111
N = 5281719444307911189558730235314383732832887706281398756182617872212876502853914398014745231096298297870480623366967889256285390399942206128652811793102053844191305339494556691 (175 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=549230053096113421025264185964021079200976750931185246573618957205217 (pp69)
r2=9616588557989247475971551574062581306386580177758343695622022628305223226842713767644704029457760773195123 (pp106)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 30.65 hours.
Factorization parameters were as follows:
n: 5281719444307911189558730235314383732832887706281398756182617872212876502853914398014745231096298297870480623366967889256285390399942206128652811793102053844191305339494556691
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: 18
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
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: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30926370
Relations: 8667240 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 10.65 hours.
Total relation processing time: 0.27 hours.
Pruned matrix : 7380373 x 7380598
Matrix solve time: 19.42 hours.
time per square root: 0.32 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 30.65 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 22, 2022 23:45:34 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 34 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovAugust 10, 2022 09:06:09 UTC 2022 年 8 月 10 日 (水) 18 時 6 分 9 秒 (日本時間)

5×10225+9×10112-59

c205

name 名前Ignacio Santos
date 日付August 23, 2022 13:40:13 UTC 2022 年 8 月 23 日 (火) 22 時 40 分 13 秒 (日本時間)
composite number 合成数
1072702575643400448611808920714415239849636309903228009315167436522417133428851736004338653299664804191863894471112579967940906032565073992784143301248848384621587572143355180944510470351455230623949496047<205>
prime factors 素因数
101326607561773869341358500152213300555903<42>
10586583341294893668627518766370005365175495987161199534227326867194073188035710601492935501794980917253963713280779902292159369926514941776487086838002794116405649<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1161674121
Step 1 took 10000ms
Step 2 took 4688ms
********** Factor found in step 2: 101326607561773869341358500152213300555903
Found prime factor of 42 digits: 101326607561773869341358500152213300555903
Prime cofactor 10586583341294893668627518766370005365175495987161199534227326867194073188035710601492935501794980917253963713280779902292159369926514941776487086838002794116405649 has 164 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 29, 2022 11:24:09 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 9 秒 (日本時間)

5×10227+9×10113-59

c211

composite cofactor 合成数の残り
2275033723018201521546108796873457106417899833995682570294688795051301616498176701519011272248875528682029052737110466689329052041209801874464047755396397670562316613423960301138724927831018583243947226793216651<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:24:18 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 18 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:40:47 UTC 2022 年 8 月 23 日 (火) 22 時 40 分 47 秒 (日本時間)

5×10231+9×10115-59

c198

composite cofactor 合成数の残り
446300162466939758453593204011397054623950322493867619638266988375629074941485675672832774353357896456992456324345740445756580958620940412367974888530230709803914180426591575500052809627752568189243<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 22, 2022 23:45:42 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 42 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:41:12 UTC 2022 年 8 月 23 日 (火) 22 時 41 分 12 秒 (日本時間)

5×10233+9×10116-59

c206

composite cofactor 合成数の残り
52398425185878344741175285399601569035117921675064377461033982851669587906843752476579004633943678548795448604955506933740879311998479995940973046214316121444165465561665430859749622935832267540849103103417<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:24:26 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 26 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:41:39 UTC 2022 年 8 月 23 日 (火) 22 時 41 分 39 秒 (日本時間)

5×10237+9×10118-59

c211

composite cofactor 合成数の残り
6778901318463182009393770427836204666019882403784513651297944023626254340550648973734943657460001983189271469994709316358729607480107505215212866371492162512448663848901758655959350732988576950529696300901964869<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:24:34 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 34 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:42:03 UTC 2022 年 8 月 23 日 (火) 22 時 42 分 3 秒 (日本時間)

5×10239+9×10119-59

c235

name 名前Dmitry Domanov
date 日付July 28, 2022 11:01:33 UTC 2022 年 7 月 28 日 (木) 20 時 1 分 33 秒 (日本時間)
composite number 合成数
8540438978563498163805619608847894781791784097702621914766418993936288325219916303698010077717994704927833290631138440531215304466649585788709539670339055427448970877103083098471261422837133828678794090016226834059270646511230677256811<235>
prime factors 素因数
2363338552323977365709251709587424142821<40>
composite cofactor 合成数の残り
3613717962737627841066792326210058191190300827813850797577492084652628070362588313603962027654838090579016198637586877133231361691143616141448694047501672489617588459124133116670243433628511218191<196>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 15:03:45 2022 
Input number is 8540438978563498163805619608847894781791784097702621914766418993936288325219916303698010077717994704927833290631138440531215304466649585788709539670339055427448970877103083098471261422837133828678794090016226834059270646511230677256811 (235 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:861118229
Step 1 took 0ms
Step 2 took 6426ms
********** Factor found in step 2: 2363338552323977365709251709587424142821
Found prime factor of 40 digits: 2363338552323977365709251709587424142821
Composite cofactor 3613717962737627841066792326210058191190300827813850797577492084652628070362588313603962027654838090579016198637586877133231361691143616141448694047501672489617588459124133116670243433628511218191 has 196 digits

c196

name 名前Dmitry Domanov
date 日付July 28, 2022 15:59:56 UTC 2022 年 7 月 29 日 (金) 0 時 59 分 56 秒 (日本時間)
composite number 合成数
3613717962737627841066792326210058191190300827813850797577492084652628070362588313603962027654838090579016198637586877133231361691143616141448694047501672489617588459124133116670243433628511218191<196>
prime factors 素因数
4706788272633439069558204578005292389<37>
composite cofactor 合成数の残り
767767265791150517804043510875428350108831358702144589746905362262715354993873717817756977394166864290926470483492955671190978721959537320782698048730972165219<159>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 15:03:45 2022 
Input number is 3613717962737627841066792326210058191190300827813850797577492084652628070362588313603962027654838090579016198637586877133231361691143616141448694047501672489617588459124133116670243433628511218191 (196 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:861119231
Step 1 took 0ms
Step 2 took 3431ms
********** Factor found in step 2: 4706788272633439069558204578005292389
Found prime factor of 37 digits: 4706788272633439069558204578005292389
Composite cofactor 767767265791150517804043510875428350108831358702144589746905362262715354993873717817756977394166864290926470483492955671190978721959537320782698048730972165219 has 159 digits

c159

name 名前Erik Branger
date 日付January 21, 2024 17:40:00 UTC 2024 年 1 月 22 日 (月) 2 時 40 分 0 秒 (日本時間)
composite number 合成数
767767265791150517804043510875428350108831358702144589746905362262715354993873717817756977394166864290926470483492955671190978721959537320782698048730972165219<159>
prime factors 素因数
3863947412641875863987245903419553768138922960166040864903710479<64>
198700236778380262191686977744774165665525945030693823720200449207030424733454286564689835294061<96>
factorization results 素因数分解の結果
Number: 55655_119
N = 767767265791150517804043510875428350108831358702144589746905362262715354993873717817756977394166864290926470483492955671190978721959537320782698048730972165219 (159 digits)
SNFS difficulty: 241 digits.
Divisors found:
r1=3863947412641875863987245903419553768138922960166040864903710479 (pp64)
r2=198700236778380262191686977744774165665525945030693823720200449207030424733454286564689835294061 (pp96)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 186.13 hours.
Factorization parameters were as follows:
# Murphy_E = 1.561e-11, selected by Dmitry Domanov
n: 767767265791150517804043510875428350108831358702144589746905362262715354993873717817756977394166864290926470483492955671190978721959537320782698048730972165219 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 4
c4: 5
c2: 9
c0: -50
skew: 1.00
type: snfs
lss: 1
rlim: 500000000
alim: 150000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 500000000/150000000
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 60301795
Relations: 13630306 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 47.11 hours.
Total relation processing time: 0.80 hours.
Pruned matrix : 10874370 x 10874595
Matrix solve time: 137.72 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,241,4,0,0,0,0,0,0,0,0,500000000,150000000,29,29,58,58,2.8,2.8,100000
total time: 186.13 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22631-SP0
processors: 16, speed: 3.79GHz
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 JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:03:39 UTC 2022 年 7 月 27 日 (水) 20 時 3 分 39 秒 (日本時間)
2350Ignacio SantosJuly 30, 2022 14:49:45 UTC 2022 年 7 月 30 日 (土) 23 時 49 分 45 秒 (日本時間)
4511e64480Ignacio SantosJuly 31, 2022 11:09:04 UTC 2022 年 7 月 31 日 (日) 20 時 9 分 4 秒 (日本時間)

5×10241+9×10120-59

c228

composite cofactor 合成数の残り
857887678149418496347928453791438752650844781725769743660585044118181720475320756000074810024718475129797305713991937727079338804238663819211003038730956546415074556193576698286579330914342500503488254004145830752563230289610767<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:03:48 UTC 2022 年 7 月 27 日 (水) 20 時 3 分 48 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:42:34 UTC 2022 年 8 月 23 日 (火) 22 時 42 分 34 秒 (日本時間)

5×10243+9×10121-59

c155

name 名前Bob Backstrom
date 日付March 2, 2024 22:11:40 UTC 2024 年 3 月 3 日 (日) 7 時 11 分 40 秒 (日本時間)
composite number 合成数
13344721407516450577227127518258840826943765421600160037116404174114329875829787104138858422122265343506798814178695522130329901653944219088929334519633723<155>
prime factors 素因数
2146808342487003261341925403206346777794649<43>
6216074878886045356378631713452036586333595154139408933833049616996583264032283095098657367219660200577669691827<112>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 6.3.0] [ECM]
Input number is 13344721407516450577227127518258840826943765421600160037116404174114329875829787104138858422122265343506798814178695522130329901653944219088929334519633723 (155 digits)
Using B1=51000000, B2=288592384096, polynomial Dickson(12), sigma=182553097
Step 1 took 120235ms
Step 2 took 32280ms
********** Factor found in step 2: 2146808342487003261341925403206346777794649
Found probable prime factor of 43 digits: 2146808342487003261341925403206346777794649
Probable prime cofactor 6216074878886045356378631713452036586333595154139408933833049616996583264032283095098657367219660200577669691827 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 15:08:04 UTC 2022 年 6 月 4 日 (土) 0 時 8 分 4 秒 (日本時間)
4511e64480Ignacio SantosJune 6, 2022 10:12:56 UTC 2022 年 6 月 6 日 (月) 19 時 12 分 56 秒 (日本時間)

5×10253+9×10126-59

c242

name 名前Dmitry Domanov
date 日付July 28, 2022 13:53:00 UTC 2022 年 7 月 28 日 (木) 22 時 53 分 0 秒 (日本時間)
composite number 合成数
45339559162357349461498249799387876358084741662090782879746643855708947526480270593726362740393715771996999372823595425521158169022926103591532052892208038111607816641065094944674682835901933132703661241742080395101790622986373108437265950977<242>
prime factors 素因数
481219856915249575697491220360886739<36>
20225448190037149641782038232760617287<38>
4658387366370561499944581394052187789789596218738008565175343305682382571353634495652448949173959310274585632616692070199595625358790723578689076000688746935856776902989<169>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 15:11:09 2022 
Input number is 45339559162357349461498249799387876358084741662090782879746643855708947526480270593726362740393715771996999372823595425521158169022926103591532052892208038111607816641065094944674682835901933132703661241742080395101790622986373108437265950977 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3606102575
Step 1 took 0ms
Step 2 took 4349ms
********** Factor found in step 2: 20225448190037149641782038232760617287
Found prime factor of 38 digits: 20225448190037149641782038232760617287
Composite cofactor 2241708501900647908147685460845253847476326379345076127271031753121878213730291773132761817213466058413817560864565944956471040341410029555296628510819174436048813594362585344288227182686213644150219562871 has 205 digits
-----
Resuming ECM residue saved by @6567d5130c41 with GMP-ECM 7.0.5-dev on Wed Jul 27 15:11:09 2022 
Input number is 2241708501900647908147685460845253847476326379345076127271031753121878213730291773132761817213466058413817560864565944956471040341410029555296628510819174436048813594362585344288227182686213644150219562871 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3606102581
Step 1 took 0ms
Step 2 took 4351ms
********** Factor found in step 2: 481219856915249575697491220360886739
Found prime factor of 36 digits: 481219856915249575697491220360886739
Prime cofactor 4658387366370561499944581394052187789789596218738008565175343305682382571353634495652448949173959310274585632616692070199595625358790723578689076000688746935856776902989 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 27, 2022 11:03:57 UTC 2022 年 7 月 27 日 (水) 20 時 3 分 57 秒 (日本時間)

5×10255+9×10127-59

c222

composite cofactor 合成数の残り
227417572394871275234683843687666330437882660389913060917932651730673072561877126916993058253289833106161078155138107837308439803251069909266613959547348691938706449424089189783548949878625866292213393161207246174844903581<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:04:04 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 4 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:43:06 UTC 2022 年 8 月 23 日 (火) 22 時 43 分 6 秒 (日本時間)

5×10261+9×10130-59

c246

composite cofactor 合成数の残り
168045327896057251171267802528182107083839650713400027630098753167790412748422442795889270909572595150986974703807376489713962026859813183384648983795146431498801719235759912792261146866941258999614935734866300736892200827763691293554631395480009<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:04:12 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 12 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 13:43:34 UTC 2022 年 8 月 23 日 (火) 22 時 43 分 34 秒 (日本時間)

5×10263+9×10131-59

c227

composite cofactor 合成数の残り
40502156769618571821958070462301721036058154529497400808271773880210601766356344720097042954943771768742349471282818988176477672266687516212220151468614911731498882637410793641482503157986537023397028686592051727813794543410327<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:04:19 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 19 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 14:15:41 UTC 2022 年 8 月 23 日 (火) 23 時 15 分 41 秒 (日本時間)

5×10265+9×10132-59

c224

composite cofactor 合成数の残り
27313431564323699220885031529794512224665638293399381776067125967088294727691366838323897275058180950270957928327803235614830596241511191520805641874400181686840904328249855480579488170827802109291114650217416675980629372777<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:04:27 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 27 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 14:16:15 UTC 2022 年 8 月 23 日 (火) 23 時 16 分 15 秒 (日本時間)

5×10273+9×10136-59

c262

composite cofactor 合成数の残り
4122072456603004681244153540122448816196081264202831459520269543720101437314184627571999875136143251071125225980373179695878745424815679523787280205580714195892792885084892163233517072164409012349361997064124157631605170601648128889030757926861997972762894421747<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:02:37 UTC 2022 年 7 月 18 日 (月) 18 時 2 分 37 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:07:44 UTC 2022 年 8 月 5 日 (金) 0 時 7 分 44 秒 (日本時間)

5×10277+9×10138-59

c250

composite cofactor 合成数の残り
4242489781937860887124707868442251888857818497553108111195033420478127424304148585033448807608771458919189613049503510269182874797991112084787652143971625428034177325771126408969480478697983636620165637845399539120133859800204350801248457583087805723<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:02:44 UTC 2022 年 7 月 18 日 (月) 18 時 2 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:07:51 UTC 2022 年 8 月 5 日 (金) 0 時 7 分 51 秒 (日本時間)

5×10279+9×10139-59

c217

composite cofactor 合成数の残り
9282085098500653431441554404671414958570995098256728974917773461046851262792907419653903124716876056232396882187782876670287430609312707818731391883628993946704569385271879210982344968300346725238512576640277652950657<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2022 11:24:42 UTC 2022 年 7 月 29 日 (金) 20 時 24 分 42 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 14:22:59 UTC 2022 年 8 月 23 日 (火) 23 時 22 分 59 秒 (日本時間)

5×10281+9×10140-59

c222

composite cofactor 合成数の残り
115024469598911764209973245118078939666952901627023740530260156863137112069106088433866106502573491036229223712330569833056775658031939208413827636986613493395281450684078224938188603383323579493986189117072039243029640449<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:04:34 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 34 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 14:37:32 UTC 2022 年 8 月 23 日 (火) 23 時 37 分 32 秒 (日本時間)

5×10283+9×10141-59

c195

composite cofactor 合成数の残り
156353868847254875457026557223950124909703884290393798825324917930101604838722185219499655902201245485912189579104064118894819303784341237550179560029033070900499491674898052000861366745744593833<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJuly 22, 2022 23:45:53 UTC 2022 年 7 月 23 日 (土) 8 時 45 分 53 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 14:49:45 UTC 2022 年 8 月 23 日 (火) 23 時 49 分 45 秒 (日本時間)

5×10285+9×10142-59

c238

composite cofactor 合成数の残り
2206848242187819008305354255066455874526459753902644326816924292070681806401997825086745940469766264210417456074095071093603758239514414900761248403002079144073729957141507463775534617442553992532216030166518716886070502505991145962913279<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e635841792Dmitry DomanovJuly 27, 2022 11:04:42 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 42 秒 (日本時間)
1792Dmitry DomanovJuly 27, 2022 11:04:52 UTC 2022 年 7 月 27 日 (水) 20 時 4 分 52 秒 (日本時間)

5×10289+9×10144-59

c274

composite cofactor 合成数の残り
3474023371801958731800675885707549590655029798608200154986564645788569458859876523292881023816829376256884887827410220116773888632202130740851660338432205195089323440497572628114828770201769864280928074128474113989857817706602452833918967054195391434190222972148787840570173<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:02:57 UTC 2022 年 7 月 18 日 (月) 18 時 2 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:07:59 UTC 2022 年 8 月 5 日 (金) 0 時 7 分 59 秒 (日本時間)

5×10291+9×10145-59

c282

composite cofactor 合成数の残り
295054724113914688938676600068705321849214541590442266120918460165585071139492342408305813144009510442271856782296940086624107365447743937269892745509945503560637352701884399127012972166216483528220534019999558049330938731744026313867821089046614935506733340147268121075256376745343<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:03:03 UTC 2022 年 7 月 18 日 (月) 18 時 3 分 3 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:08:07 UTC 2022 年 8 月 5 日 (金) 0 時 8 分 7 秒 (日本時間)

5×10293+9×10146-59

c261

composite cofactor 合成数の残り
119433813696960587454144231160388084543444419790867412553007085679155738300542427942566628695159489996921556719345994373763548040358232658582018560853461907345454737802971905462366676568224424984237119926819984672391221443495809879268172127638473489765845284489<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:03:11 UTC 2022 年 7 月 18 日 (月) 18 時 3 分 11 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:08:14 UTC 2022 年 8 月 5 日 (金) 0 時 8 分 14 秒 (日本時間)

5×10295+9×10147-59

c241

composite cofactor 合成数の残り
7719027383984701880142387106085583051149814911808742533581960279537583623110306793695215016888326284106656308683636139657347116317278059170215595100214054362677005108915296111796772895592436462009861400762843097703119441662950391449503938741<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 27, 2022 11:05:07 UTC 2022 年 7 月 27 日 (水) 20 時 5 分 7 秒 (日本時間)
2350Ignacio SantosAugust 23, 2022 15:05:07 UTC 2022 年 8 月 24 日 (水) 0 時 5 分 7 秒 (日本時間)

5×10297+9×10148-59

c258

composite cofactor 合成数の残り
384033321722515280124169218567255755439879815579958917286488642677123989016146018179627425535454812255396230995949551125933105236046771969593926011867919821309373573039737656150042427691546446717500628613274589951125142371787124193689941376789260617698522491<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:03:18 UTC 2022 年 7 月 18 日 (月) 18 時 3 分 18 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:08:21 UTC 2022 年 8 月 5 日 (金) 0 時 8 分 21 秒 (日本時間)

5×10299+9×10149-59

c257

composite cofactor 合成数の残り
10294976270068840398241741137107603121055703234205429486617771930579023983136177117271467168641278876621476048481978844964936586141907646451031738462189603017202997108203765701467094687594161845760076376907491366913426468911718312314357325266817437911379943<257>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovJuly 18, 2022 09:03:26 UTC 2022 年 7 月 18 日 (月) 18 時 3 分 26 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovAugust 4, 2022 15:08:29 UTC 2022 年 8 月 5 日 (金) 0 時 8 分 29 秒 (日本時間)

5×10301+9×10150-59

c199

composite cofactor 合成数の残り
1237229963894657488521020422983323426431119389838231546170275275626219314945841241933797051575169562446705139365257131953717726638361530285614491355338602005386764508363608727537193332522454823850161<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 18, 2022 10:00:00 UTC 2022 年 5 月 18 日 (水) 19 時 0 分 0 秒 (日本時間)
403e62078Sean WellmanMay 21, 2022 19:53:54 UTC 2022 年 5 月 22 日 (日) 4 時 53 分 54 秒 (日本時間)
4511e64000Dmitry DomanovJune 1, 2022 23:54:49 UTC 2022 年 6 月 2 日 (木) 8 時 54 分 49 秒 (日本時間)