Table of contents 目次

4×10153+45×1076-49

c115

name 名前Eric Jeancolas
date 日付May 24, 2022 21:19:20 UTC 2022 年 5 月 25 日 (水) 6 時 19 分 20 秒 (日本時間)
composite number 合成数
2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293<115>
prime factors 素因数
22900180703886810968493201257648023929341897366417<50>
129639182808735277200833975475682830841173881139583812004215113629<66>
factorization results 素因数分解の結果
2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293=22900180703886810968493201257648023929341897366417*129639182808735277200833975475682830841173881139583812004215113629

cado polynomial
n: 2968760712624254384051175758726957438712425865611815637165932520572709652839526820262379766243732806193903503597293
skew: 0.56
type: snfs
c0: -4
c2: 45
c4: 40
Y0: 100000000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^4+45*x^2-4
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2500000
tasks.lim1 = 2500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 22900180703886810968493201257648023929341897366417 129639182808735277200833975475682830841173881139583812004215113629
Info:Square Root: Total cpu/real time for sqrt: 284.62/105.431
Info:Filtering - Singleton removal: Total cpu/real time for purge: 83.52/120.225
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11642886
Info:Lattice Sieving: Average J: 1882.38 for 309960 special-q, max bucket fill -bkmult 1.0,1s:1.322100
Info:Lattice Sieving: Total time: 62424.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 87.93/59.5851
Info:Linear Algebra: Total cpu/real time for bwc: 1481.09/937.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 907.58, WCT time 626.67, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9856 iterations)
Info:Linear Algebra: Lingen CPU time 56.35, WCT time 22.63
Info:Linear Algebra: Mksol: CPU time 487.24,  WCT time 261.13, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4992 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.25/80.9925
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 80.9s
Info:Filtering - Merging: Merged matrix has 313440 rows and total weight 53299543 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 67.2/51.9801
Info:Filtering - Merging: Total cpu/real time for replay: 10.91/12.3841
Info:Generate Factor Base: Total cpu/real time for makefb: 1.57/2.14942
Info:Quadratic Characters: Total cpu/real time for characters: 10.16/5.75373
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 104.09/152.481
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 142.7s
Info:Square Root: Total cpu/real time for sqrt: 284.62/105.431
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58820.4/33039.3
Info:root: Cleaning up computation data in /tmp/cado.dbevaa0l
22900180703886810968493201257648023929341897366417 129639182808735277200833975475682830841173881139583812004215113629
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)

4×10157+45×1078-49

c122

name 名前Eric Jeancolas
date 日付May 25, 2022 14:12:52 UTC 2022 年 5 月 25 日 (水) 23 時 12 分 52 秒 (日本時間)
composite number 合成数
93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929<122>
prime factors 素因数
265727122026915232462853051696363140266684290513395409<54>
351514310803808787934207615282843581423536640644822316298999679876281<69>
factorization results 素因数分解の結果
93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929=265727122026915232462853051696363140266684290513395409*351514310803808787934207615282843581423536640644822316298999679876281

cado polynomial
n: 93406886161170705245369406440968008805333073302398454533355956509671758813480146878307536769661582829025593266442353393929
skew: 0.56
type: snfs
c0: -4
c2: 45
c4: 40
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^4+45*x^2-4
# g(x) = -x+100000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 3000000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
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: 265727122026915232462853051696363140266684290513395409 351514310803808787934207615282843581423536640644822316298999679876281
Info:Square Root: Total cpu/real time for sqrt: 63.22/20.1421
Info:Filtering - Singleton removal: Total cpu/real time for purge: 73.69/67.2788
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11626641
Info:Lattice Sieving: Average J: 1881.67 for 441942 special-q, max bucket fill -bkmult 1.0,1s:1.293540
Info:Lattice Sieving: Total time: 44603.9s
Info:Linear Algebra: Total cpu/real time for bwc: 2236.31/582.46
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1385.97, WCT time 360.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12160 iterations)
Info:Linear Algebra: Lingen CPU time 57.84, WCT time 14.76
Info:Linear Algebra: Mksol: CPU time 756.33,  WCT time 192.67, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6144 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 87.61/24.5033
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 46.21/49.599
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.5s
Info:Filtering - Merging: Merged matrix has 388345 rows and total weight 66182251 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.33/22.3077
Info:Filtering - Merging: Total cpu/real time for replay: 12.32/10.1952
Info:Generate Factor Base: Total cpu/real time for makefb: 1.86/1.05107
Info:Quadratic Characters: Total cpu/real time for characters: 12.12/4.81683
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.7/84.0694
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 77.3s
Info:Square Root: Total cpu/real time for sqrt: 63.22/20.1421
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 84627.7/23346.7
Info:root: Cleaning up computation data in /tmp/cado.vo4hp0wr
265727122026915232462853051696363140266684290513395409 351514310803808787934207615282843581423536640644822316298999679876281
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)

4×10159+45×1079-49

c118

name 名前bur
date 日付May 27, 2022 07:12:04 UTC 2022 年 5 月 27 日 (金) 16 時 12 分 4 秒 (日本時間)
composite number 合成数
7578042687565076690362202439495878722466919639807001613288438826458584139306785368136220490026244238231720332952687979<118>
prime factors 素因数
372202906901124521037106184224762853<36>
20359977171210484889735756628746216459555309753417216375766212584058640921597200143<83>
factorization results 素因数分解の結果
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13434718
Info:Lattice Sieving: Average J: 1907.23 for 204134 special-q, max bucket fill - bkmult 1.0,1s:1.107760
Info:Lattice Sieving: Total time: 23246.4s
Info:Polynomial Selection (size optimized): potential collisions: 21449.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 14428/35.360/42.082/46.900/1.044
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11305/34.110/37.167/42.570/0.796
Info:Polynomial Selection (size optimized): Total time: 1919.67
Total cpu/real time for makefb: 8.91/0.948042
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 81.7/22.1662
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.1s
Info:Quadratic Characters: Total cpu/real time for characters: 22.61/4.7197
Info:Complete Factorization / Discrete logarithm:
Total cpu/elapsed time for entire Complete Factorization 55447.5/3021.21
372202906901124521037106184224762853 20359977171210484889735756628746216459555309753417216375766212584058640921597200143
software ソフトウェア
cado-nfs
execution environment 実行環境
ubuntu

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)

4×10161+45×1080-49

c125

name 名前Eric Jeancolas
date 日付May 26, 2022 03:25:47 UTC 2022 年 5 月 26 日 (木) 12 時 25 分 47 秒 (日本時間)
composite number 合成数
16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917<125>
prime factors 素因数
1192235456282579561702496267558828217412674508737<49>
13698430122750290650642622108055738858405653771313872947802868975158442265141<77>
factorization results 素因数分解の結果
16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917=1192235456282579561702496267558828217412674508737*13698430122750290650642622108055738858405653771313872947802868975158442265141

cado polynomial
n: 16331754087752225128100492539362011856541541471064738230049977702204540470263418606887786006537369310015875102102239675036917
skew: 0.56
type: snfs
c0: -4
c2: 45
c4: 40
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^4+45*x^2-4
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3500000
tasks.lim1 = 3500000
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: 1192235456282579561702496267558828217412674508737 13698430122750290650642622108055738858405653771313872947802868975158442265141
Info:Square Root: Total cpu/real time for sqrt: 98.06/87.641
Info:Quadratic Characters: Total cpu/real time for characters: 18.17/14.5425
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 108.84/162.598
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 152.2s
Info:Square Root: Total cpu/real time for sqrt: 98.06/87.641
Info:Linear Algebra: Total cpu/real time for bwc: 4976.06/3981.95
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2772.06, WCT time 2185.42, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (17152 iterations)
Info:Linear Algebra: Lingen CPU time 596.06, WCT time 509.89
Info:Linear Algebra: Mksol: CPU time 1525.45,  WCT time 1219.15, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (8704 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 60.49/93.5888
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11627387
Info:Lattice Sieving: Average J: 1881.31 for 545362 special-q, max bucket fill -bkmult 1.0,1s:1.299640
Info:Lattice Sieving: Total time: 111454s
Info:Generate Free Relations: Total cpu/real time for freerel: 88.39/57.5488
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.6/84.1605
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 84.0s
Info:Filtering - Merging: Merged matrix has 548006 rows and total weight 93656837 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 123.41/89.7826
Info:Filtering - Merging: Total cpu/real time for replay: 20.68/22.9223
Info:Generate Factor Base: Total cpu/real time for makefb: 2.2/2.73701
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 109737/60620
Info:root: Cleaning up computation data in /tmp/cado.m_0e00id
1192235456282579561702496267558828217412674508737 13698430122750290650642622108055738858405653771313872947802868975158442265141
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)

4×10171+45×1085-49

c169

name 名前Bob Backstrom
date 日付May 20, 2022 21:50:45 UTC 2022 年 5 月 21 日 (土) 6 時 50 分 45 秒 (日本時間)
composite number 合成数
8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547<169>
prime factors 素因数
1102194455755478442007416097527441772865656942200823000135960127611371056507<76>
7754537779043862898718087223704805942902509702640416970995730142295666363216788850795362681721<94>
factorization results 素因数分解の結果
Number: n
N=8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547  ( 169 digits)
SNFS difficulty: 172 digits.
Divisors found:

Sat May 21 07:46:35 2022  p76 factor: 1102194455755478442007416097527441772865656942200823000135960127611371056507
Sat May 21 07:46:35 2022  p94 factor: 7754537779043862898718087223704805942902509702640416970995730142295666363216788850795362681721
Sat May 21 07:46:35 2022  elapsed time 00:13:43 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 4x10^171+45x10^85-4 = 4(85)94(85)
#
n: 8547008547008547008547008547008547008547008547008547008547008547008547008547008547009508547008547008547008547008547008547008547008547008547008547008547008547008547008547
m: 5000000000000000000000000000000000000000000
deg: 4
c4: 16
c2: 45
c0: -10
skew: 0.89
# Murphy_E = 1.151e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1741234 hash collisions in 14565221 relations (14224504 unique)
Msieve: matrix is 662003 x 662228 (229.8 MB)

Sieving start time : 2022/05/21 05:08:36
Sieving end time  : 2022/05/21 07:32:33

Total sieving time: 2hrs 23min 57secs.

Total relation processing time: 0hrs 6min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,172,4,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] 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)

4×10179+45×1089-49

c136

name 名前Eric Jeancolas
date 日付July 21, 2022 16:25:33 UTC 2022 年 7 月 22 日 (金) 1 時 25 分 33 秒 (日本時間)
composite number 合成数
1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887<136>
prime factors 素因数
592309897827892665680260154087986634269766124505206495187<57>
1707296762003678959858281914425253183652769892923125852099757952802289192313101<79>
factorization results 素因数分解の結果
1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887=592309897827892665680260154087986634269766124505206495187*1707296762003678959858281914425253183652769892923125852099757952802289192313101

cado polynomial
n: 1011248770664291065737228567606228857451247331998933058650426390952095887504065009682133424374849646429242564855704539189434777753544887
skew: 0.73
type: snfs
c0: -5
c3: 45
c6: 32
Y0: 500000000000000000000000000000
Y1: -1
# f(x) = 32*x^6+45*x^3-5
# g(x) = -x+50000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6900000
tasks.lim1 = 6900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 592309897827892665680260154087986634269766124505206495187 1707296762003678959858281914425253183652769892923125852099757952802289192313101
Info:Square Root: Total cpu/real time for sqrt: 420.34/124.546
Info:Filtering - Singleton removal: Total cpu/real time for purge: 125.23/125.895
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22412283
Info:Lattice Sieving: Average J: 1889.86 for 1047447 special-q, max bucket fill -bkmult 1.0,1s:1.218530
Info:Lattice Sieving: Total time: 156760s
Info:Linear Algebra: Total cpu/real time for bwc: 15263.1/3938.96
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 9682.57, WCT time 2487.92, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (30976 iterations)
Info:Linear Algebra: Lingen CPU time 176.88, WCT time 45.14
Info:Linear Algebra: Mksol: CPU time 5243.11,  WCT time 1346.77, iteration CPU time 0.08, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (15360 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 222.4/56.9999
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.16/101.236
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 101.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 226.11/189.344
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 173.3s
Info:Filtering - Merging: Merged matrix has 982993 rows and total weight 167577246 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 234.24/65.5962
Info:Filtering - Merging: Total cpu/real time for replay: 35.08/29.6461
Info:Generate Factor Base: Total cpu/real time for makefb: 5.59/2.62686
Info:Quadratic Characters: Total cpu/real time for characters: 32.53/12.9832
Info:Square Root: Total cpu/real time for sqrt: 420.34/124.546
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 306788/83309.7
Info:root: Cleaning up computation data in /tmp/cado.vdo2_q4r
592309897827892665680260154087986634269766124505206495187 1707296762003678959858281914425253183652769892923125852099757952802289192313101
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)
403e62350Ignacio SantosJune 9, 2022 13:04:49 UTC 2022 年 6 月 9 日 (木) 22 時 4 分 49 秒 (日本時間)

4×10183+45×1091-49

c165

name 名前Bob Backstrom
date 日付May 27, 2022 17:12:33 UTC 2022 年 5 月 28 日 (土) 2 時 12 分 33 秒 (日本時間)
composite number 合成数
343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497<165>
prime factors 素因数
23671223729111395081361687170624081837481720371<47>
14507619035094205751597576704714181475565729591265580573362166571061137547475822803643007348167345013883153638706989907<119>
factorization results 素因数分解の結果
Number: n
N=343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497  ( 165 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat May 28 03:08:14 2022  p47 factor: 23671223729111395081361687170624081837481720371
Sat May 28 03:08:14 2022  p119 factor: 14507619035094205751597576704714181475565729591265580573362166571061137547475822803643007348167345013883153638706989907
Sat May 28 03:08:14 2022  elapsed time 00:26:40 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 4x10^183+45x10^91-4 = 4(91)94(91)
#
n: 343413095956430124340403517925153132150248506841893848103775213201203077453980881261288088561439194205378297714774005885896066540207469742051678677388950297293295497
m: 1000000000000000000000000000000
deg: 6
c6: 2000
c3: 225
c0: -2
skew: 0.32
# Murphy_E = 4.256e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3802218 hash collisions in 29281679 relations (27558875 unique)
Msieve: matrix is 982211 x 982438 (337.1 MB)

Sieving start time : 2022/05/27 22:00:35
Sieving end time  : 2022/05/28 02:41:05

Total sieving time: 4hrs 40min 30secs.

Total relation processing time: 0hrs 15min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 23sec.

Prototype def-par.txt line would be:
snfs,183,6,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
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)

4×10189+45×1094-49

c109

name 名前ebina
date 日付May 20, 2022 22:15:11 UTC 2022 年 5 月 21 日 (土) 7 時 15 分 11 秒 (日本時間)
composite number 合成数
4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937<109>
prime factors 素因数
3224073954520679854327546636333387513<37>
1270233097312556105608993634497550386833725123726685933116441132460585649<73>
factorization results 素因数分解の結果
Number: 44944_94
N = 4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937 (109 digits)
Divisors found:
r1=3224073954520679854327546636333387513 (pp37)
r2=1270233097312556105608993634497550386833725123726685933116441132460585649 (pp73)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 1.38 hours.
Factorization parameters were as follows:
n:  4095325445215544321328359768954715711887158259023896969082901355583403780721926946679085126481764984043600937
# norm 6.306748e-15 alpha -4.732415 e 3.271e-09 rroots 0
skew: 10048249.86
c0: 310677673164583963986806700832
c1: 79763394865911429078288
c2: 41370256668617114
c3: -1327412817
c4: 252
Y0: -357044224024747774017683061
Y1: 26255194870385
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7727448
Relations: 808246 relations
Pruned matrix : 457757 x 457984
Polynomial selection time: 0.06 hours.
Total sieving time: 1.14 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.10 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,108,4,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 1.38 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
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)

4×10193+45×1096-49

c148

name 名前Ignacio Santos
date 日付June 28, 2022 14:29:15 UTC 2022 年 6 月 28 日 (火) 23 時 29 分 15 秒 (日本時間)
composite number 合成数
5297809205834975000237510970914455113860164889564300823120701773339401047584474588290956627861328115178900668874992406354268692566727979008295961219<148>
prime factors 素因数
3545152819440051886557853211910257699<37>
1494381053697919530594268843725405766452481813378842838084247462342744666859624137054510137583974746962756392481<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2459056205
Step 1 took 5906ms
Step 2 took 3516ms
********** Factor found in step 2: 3545152819440051886557853211910257699
Found prime factor of 37 digits: 3545152819440051886557853211910257699
Prime cofactor 1494381053697919530594268843725405766452481813378842838084247462342744666859624137054510137583974746962756392481 has 112 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)

4×10197+45×1098-49

c193

name 名前Dmitry Domanov
date 日付July 22, 2022 14:24:26 UTC 2022 年 7 月 22 日 (金) 23 時 24 分 26 秒 (日本時間)
composite number 合成数
1206287168723386289340040289991435361102063957345685713941060808936175345902845631431018468256553168614820444154935523950831735002834774846499957779949094681479873098589850299762361427761492901<193>
prime factors 素因数
49694695371654628656130948313354057<35>
24273962436067990640657306644712029810477202928768772332796339764529308082065647350722605801465915041814675940426571826160519366524632792941832922469629760893<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1561338853
Step 1 took 8581ms
Step 2 took 4379ms
********** Factor found in step 2: 49694695371654628656130948313354057
Found prime factor of 35 digits: 49694695371654628656130948313354057
Prime cofactor 24273962436067990640657306644712029810477202928768772332796339764529308082065647350722605801465915041814675940426571826160519366524632792941832922469629760893 has 158 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)
403e61000 / 2078Dmitry DomanovJuly 21, 2022 16:47:02 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 2 秒 (日本時間)

4×10199+45×1099-49

c147

name 名前Eric Jeancolas
date 日付January 2, 2023 21:12:08 UTC 2023 年 1 月 3 日 (火) 6 時 12 分 8 秒 (日本時間)
composite number 合成数
146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801<147>
prime factors 素因数
37567848519502943369640175389563175521506292814231120837646789<62>
3891712049736956193685966179429039270592302757741866314278995808951197308210515039309<85>
factorization results 素因数分解の結果
146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801=37567848519502943369640175389563175521506292814231120837646789*3891712049736956193685966179429039270592302757741866314278995808951197308210515039309

cado polynomial
n: 146203248766042274852497180274313217827747787723345970759976183022200295793860512759597077013110516708909722359415798752931571389392354793392628801
skew: 0.68
type: snfs
c0: -4
c3: 45
c6: 40
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 40*x^6+45*x^3-4
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 14900000
tasks.lim1 = 14900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 37567848519502943369640175389563175521506292814231120837646789 3891712049736956193685966179429039270592302757741866314278995808951197308210515039309
Info:Square Root: Total cpu/real time for sqrt: 773.71/241.071
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 127.89/125.948
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 125.10000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 435.1/427.2
Info:Quadratic Characters: Total cpu/real time for characters: 90.41/39.9205
Info:Generate Free Relations: Total cpu/real time for freerel: 225.84/57.451
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 28896316
Info:Lattice Sieving: Average J: 1888.82 for 3530972 special-q, max bucket fill -bkmult 1.0,1s:1.175970
Info:Lattice Sieving: Total time: 793349s
Info:Square Root: Total cpu/real time for sqrt: 773.71/241.071
Info:Generate Factor Base: Total cpu/real time for makefb: 11.7/4.1638
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 565.14/602.983
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 501.50000000000006s
Info:Filtering - Merging: Merged matrix has 2596926 rows and total weight 444877552 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 726.74/199.37
Info:Filtering - Merging: Total cpu/real time for replay: 100.31/93.0265
Info:Linear Algebra: Total cpu/real time for bwc: 61894.3/15855.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 20173.95, WCT time 5181.76, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (81408 iterations)
Info:Linear Algebra: Lingen CPU time 550.29, WCT time 139.52
Info:Linear Algebra: Mksol: CPU time 41165.42,  WCT time 10516.64, iteration CPU time 0.24, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (40960 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.56045e+06/16141.8
37567848519502943369640175389563175521506292814231120837646789 3891712049736956193685966179429039270592302757741866314278995808951197308210515039309
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
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)
403e61000Dmitry DomanovJuly 21, 2022 16:47:09 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 9 秒 (日本時間)
4511e63200 / 42131200Dmitry DomanovAugust 14, 2022 13:10:46 UTC 2022 年 8 月 14 日 (日) 22 時 10 分 46 秒 (日本時間)
1000Dmitry DomanovNovember 21, 2022 13:33:37 UTC 2022 年 11 月 21 日 (月) 22 時 33 分 37 秒 (日本時間)
1000Dmitry DomanovNovember 21, 2022 21:32:39 UTC 2022 年 11 月 22 日 (火) 6 時 32 分 39 秒 (日本時間)

4×10203+45×10101-49

c176

name 名前Dmitry Domanov
date 日付August 18, 2022 23:39:56 UTC 2022 年 8 月 19 日 (金) 8 時 39 分 56 秒 (日本時間)
composite number 合成数
33854876559947593776106710659203990346022249202689118846738143521661233788888407953644026183074545544351203573095791100980994359734116100383191367021520432557725721703934155451<176>
prime factors 素因数
1397737208166313737415797966728079358319<40>
24221202928669031319321716657677164123719107690894003252882154508917178029625612629275920804154783962231930215478826655639234062683411829<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2414183199
Step 1 took 22080ms
Step 2 took 9691ms
********** Factor found in step 2: 1397737208166313737415797966728079358319
Found prime factor of 40 digits: 1397737208166313737415797966728079358319
Prime cofactor 24221202928669031319321716657677164123719107690894003252882154508917178029625612629275920804154783962231930215478826655639234062683411829 has 137 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)
403e61000Dmitry DomanovJuly 21, 2022 16:47:16 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovAugust 14, 2022 13:10:54 UTC 2022 年 8 月 14 日 (日) 22 時 10 分 54 秒 (日本時間)

4×10205+45×10102-49

c155

composite cofactor 合成数の残り
13434773064064164177975527984323262199896646859571467103564847480976210064634108108820685690005590524422106735597538590541596130557365228029134623041872207<155>

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 21, 2022 16:47:23 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 23 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:01 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 1 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:32:46 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 46 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:11 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 11 秒 (日本時間)
5043e62792 / 67921000Dmitry DomanovNovember 21, 2022 21:17:53 UTC 2022 年 11 月 22 日 (火) 6 時 17 分 53 秒 (日本時間)
1792Dmitry DomanovDecember 30, 2022 05:39:29 UTC 2022 年 12 月 30 日 (金) 14 時 39 分 29 秒 (日本時間)

4×10207+45×10103-49

c196

name 名前Dmitry Domanov
date 日付August 16, 2022 14:08:03 UTC 2022 年 8 月 16 日 (火) 23 時 8 分 3 秒 (日本時間)
composite number 合成数
5175719254720733118920910004603386201003205109544719397139441959575652297281271603763197583303412431744094918539293809370542199085984522250200469605761988199598710245809624098573681297311687023331<196>
prime factors 素因数
207275976186877172794338335047359758389<39>
composite cofactor 合成数の残り
24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2382681392
Step 1 took 33337ms
Step 2 took 13632ms
********** Factor found in step 2: 207275976186877172794338335047359758389
Found prime factor of 39 digits: 207275976186877172794338335047359758389
Composite cofactor 24970183954431726990696488865242927542948523304404021341848215372674682717884359397279845178825186859736686788618232341350545520350342808710200826457742295479 has 158 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)
403e61000Dmitry DomanovJuly 21, 2022 16:47:30 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 30 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:09 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 9 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:32:53 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 53 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:21 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 21 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 21, 2022 21:14:42 UTC 2022 年 11 月 22 日 (火) 6 時 14 分 42 秒 (日本時間)
2000Dmitry DomanovDecember 31, 2022 09:09:20 UTC 2022 年 12 月 31 日 (土) 18 時 9 分 20 秒 (日本時間)

4×10211+45×10105-49

c188

name 名前Dmitry Domanov
date 日付September 26, 2022 14:22:59 UTC 2022 年 9 月 26 日 (月) 23 時 22 分 59 秒 (日本時間)
composite number 合成数
66398183195709357833581597412840195680939656129465009103340859366707731729435988171388896652123582873194899872022907817345896965227649458566356616818991123680705630221100302287183466941801<188>
prime factors 素因数
79161404823456650735652098387555762297329691<44>
composite cofactor 合成数の残り
838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:615742002
Step 1 took 78288ms
Step 2 took 33365ms
********** Factor found in step 2: 79161404823456650735652098387555762297329691
Found prime factor of 44 digits: 79161404823456650735652098387555762297329691
Composite cofactor 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211 has 144 digits

c144

name 名前Erik Branger
date 日付November 30, 2023 19:30:31 UTC 2023 年 12 月 1 日 (金) 4 時 30 分 31 秒 (日本時間)
composite number 合成数
838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211<144>
prime factors 素因数
31426124997105291483139122351599855602150204030300435222720471649<65>
26690202569528756048195557761265939500471282387268016538348283018151265771412139<80>
factorization results 素因数分解の結果
Number: 44944_105
N = 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211 (144 digits)
Divisors found:
r1=31426124997105291483139122351599855602150204030300435222720471649 (pp65)
r2=26690202569528756048195557761265939500471282387268016538348283018151265771412139 (pp80)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 276.72 hours.
Factorization parameters were as follows:
# Murphy_E = 1.24e-11, selected by Dmitry Domanov
n: 838769642148071521970342651587285978488532141553145502462759622183373531516787826118225506645025226097796077700640004832741516615726418843947211
Y0: -14753400275653167056202540918
Y1: 2452606019975147
c0: -2093933844500037931364997144086422375
c1: 6165944090179981770362302176910
c2: -1168238383463627855661309
c3: -941452728978196594
c4: 13799378368
c5: 1200
skew: 7412863.47
type: gnfs
# selected mechanically
rlim: 23000000
alim: 23000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24390260
Relations: 4356524 relations
Pruned matrix : 2765005 x 2765234
Polynomial selection time: 0.00 hours.
Total sieving time: 274.62 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.62 hours.
time per square root: 0.34 hours.
Prototype def-par.txt line would be: gnfs,143,5,65,2000,1e-05,0.28,250,20,50000,3600,23000000,23000000,28,28,56,56,2.6,2.6,100000
total time: 276.72 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, 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 21, 2022 16:47:40 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 40 秒 (日本時間)
4511e676801200Dmitry DomanovAugust 14, 2022 13:11:16 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 16 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:32:59 UTC 2022 年 9 月 7 日 (水) 5 時 32 分 59 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:28 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 28 秒 (日本時間)
4480Ignacio SantosSeptember 28, 2022 08:32:35 UTC 2022 年 9 月 28 日 (水) 17 時 32 分 35 秒 (日本時間)
5043e66454Ignacio SantosDecember 8, 2022 14:37:30 UTC 2022 年 12 月 8 日 (木) 23 時 37 分 30 秒 (日本時間)

4×10213+45×10106-49

c153

composite cofactor 合成数の残り
579168946018956389599086051716898079273637806886836333821878185834626667486712201406878262338278353521311932298800719056773768614974621759851813344329343<153>

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 21, 2022 16:47:47 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 47 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:23 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 23 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:07 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 7 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:36 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 36 秒 (日本時間)
5043e62792 / 67921000Dmitry DomanovNovember 21, 2022 21:18:07 UTC 2022 年 11 月 22 日 (火) 6 時 18 分 7 秒 (日本時間)
1792Dmitry DomanovDecember 30, 2022 05:39:19 UTC 2022 年 12 月 30 日 (金) 14 時 39 分 19 秒 (日本時間)

4×10215+45×10107-49

c196

composite cofactor 合成数の残り
6476492311103978456805258459511405342673586379199558179061343275777556117928556187847859228926029018974021951841561912956852486325091852343411650198108906455276789397706126833525061300567216598097<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)
403e61000Dmitry DomanovJuly 21, 2022 16:47:53 UTC 2022 年 7 月 22 日 (金) 1 時 47 分 53 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:30 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 30 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:14 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 14 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:42 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 42 秒 (日本時間)
5043e63584 / 67921792Dmitry DomanovNovember 19, 2022 19:01:33 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 33 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:43:13 UTC 2022 年 12 月 24 日 (土) 7 時 43 分 13 秒 (日本時間)

4×10217+45×10108-49

c179

composite cofactor 合成数の残り
95718727392039764197287131329438503251791578792716112534600428781161437983876203455734426230144528318633174991319580281471507065032221256148608125984479621758141022710174617840513<179>

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 21, 2022 16:48:01 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 1 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:36 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 36 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:20 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 20 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:50 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 50 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 19, 2022 19:01:45 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 45 秒 (日本時間)
2000Dmitry DomanovDecember 30, 2022 05:38:15 UTC 2022 年 12 月 30 日 (金) 14 時 38 分 15 秒 (日本時間)

4×10225+45×10112-49

c179

composite cofactor 合成数の残り
44490051859114486798512181835697728007555832662411670779300084344182597745302500458124401516970590425829853087143595747126685815680847371522529128792535122717031218262008036957477<179>

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 21, 2022 16:48:08 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 8 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:42 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 42 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:28 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 28 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:43:58 UTC 2022 年 9 月 24 日 (土) 20 時 43 分 58 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 19, 2022 19:01:53 UTC 2022 年 11 月 20 日 (日) 4 時 1 分 53 秒 (日本時間)
2000Dmitry DomanovDecember 31, 2022 19:16:02 UTC 2023 年 1 月 1 日 (日) 4 時 16 分 2 秒 (日本時間)

4×10227+45×10113-49

c167

composite cofactor 合成数の残り
20972003529300457856851418116873562710560054133865869938388131267869143246225215634701547979443329323443109753931215374003000151203528041136642827963597268077965452529<167>

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 21, 2022 16:48:16 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 16 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:49 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 49 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:35 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 35 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:44:05 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 5 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 21, 2022 21:13:19 UTC 2022 年 11 月 22 日 (火) 6 時 13 分 19 秒 (日本時間)
2000Dmitry DomanovDecember 31, 2022 23:38:55 UTC 2023 年 1 月 1 日 (日) 8 時 38 分 55 秒 (日本時間)

4×10231+45×10115-49

c157

name 名前Ignacio Santos
date 日付June 3, 2022 15:09:04 UTC 2022 年 6 月 4 日 (土) 0 時 9 分 4 秒 (日本時間)
composite number 合成数
8358499374640085847040331712229847503024261492671434882408987676809618532308254637792042695813378645287030707016312766131299025990180309030845497488304814809<157>
prime factors 素因数
379763864441595496384146515291660666299<39>
22009728037001143082062029083442612530488086200225632029387809753986787107901245035586932804756272329632452648111738491<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3173616078
Step 1 took 7140ms
Step 2 took 3781ms
********** Factor found in step 2: 379763864441595496384146515291660666299
Found prime factor of 39 digits: 379763864441595496384146515291660666299
Prime cofactor 22009728037001143082062029083442612530488086200225632029387809753986787107901245035586932804756272329632452648111738491 has 119 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)

4×10233+45×10116-49

c170

name 名前Dmitry Domanov
date 日付January 3, 2023 08:21:01 UTC 2023 年 1 月 3 日 (火) 17 時 21 分 1 秒 (日本時間)
composite number 合成数
72919323195270324169151441722278769799514052917251695014630465405158858454792997520508727651637784538401879962172593942119442770541415570227618843127570355497646778433631<170>
prime factors 素因数
276191621103734307475973479451461582569062327<45>
264017144705062173125765965221135162986098920082681901894350515568816043527857735943051139686921818972320490387056980059468953<126>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:909603156
Step 1 took 64227ms
Step 2 took 22086ms
********** Factor found in step 2: 276191621103734307475973479451461582569062327
Found prime factor of 45 digits: 276191621103734307475973479451461582569062327
Prime cofactor 264017144705062173125765965221135162986098920082681901894350515568816043527857735943051139686921818972320490387056980059468953 has 126 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)
403e61000Dmitry DomanovJuly 21, 2022 16:48:42 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 42 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:11:57 UTC 2022 年 8 月 14 日 (日) 22 時 11 分 57 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:42 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 42 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:44:14 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 14 秒 (日本時間)
5043e63792 / 67921792Dmitry DomanovNovember 19, 2022 19:02:00 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 0 秒 (日本時間)
2000Dmitry DomanovJanuary 1, 2023 16:07:50 UTC 2023 年 1 月 2 日 (月) 1 時 7 分 50 秒 (日本時間)

4×10235+45×10117-49

c194

composite cofactor 合成数の残り
61335568279284183864850303516430733545081678471783915849195176976572514968489610326579262726758628165046033952129822763849623097491790761483669092687455385828602310126281329443304694919809173531<194>

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 21, 2022 16:48:50 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 50 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:12:04 UTC 2022 年 8 月 14 日 (日) 22 時 12 分 4 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:50 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 50 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:44:21 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 21 秒 (日本時間)
5043e63584 / 67921792Dmitry DomanovNovember 19, 2022 19:02:10 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 10 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:43:23 UTC 2022 年 12 月 24 日 (土) 7 時 43 分 23 秒 (日本時間)

4×10237+45×10118-49

c229

name 名前NFS@home + Dmitry Domanov
date 日付February 16, 2023 16:26:59 UTC 2023 年 2 月 17 日 (金) 1 時 26 分 59 秒 (日本時間)
composite number 合成数
1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833<229>
prime factors 素因数
182395240830864704979253968039712025224250122294775859413994933839710543987917566837126969451227<96>
6392199585522208548552589377681688057553132298252750414999093052503811623773232273979357716101664488023518826519742927542573086893779<133>
factorization results 素因数分解の結果
Wed Feb 15 13:16:00 2023  
Wed Feb 15 13:16:00 2023  
Wed Feb 15 13:16:00 2023  Msieve v. 1.54 (SVN unknown)
Wed Feb 15 13:16:00 2023  random seeds: a997238c b3f78a77
Wed Feb 15 13:16:00 2023  factoring 1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833 (229 digits)
Wed Feb 15 13:16:01 2023  searching for 15-digit factors
Wed Feb 15 13:16:02 2023  commencing number field sieve (229-digit input)
Wed Feb 15 13:16:02 2023  R0: -1000000000000000000000000000000000000000
Wed Feb 15 13:16:02 2023  R1: 1
Wed Feb 15 13:16:02 2023  A0: -2
Wed Feb 15 13:16:02 2023  A1: 0
Wed Feb 15 13:16:02 2023  A2: 0
Wed Feb 15 13:16:02 2023  A3: 225
Wed Feb 15 13:16:02 2023  A4: 0
Wed Feb 15 13:16:02 2023  A5: 0
Wed Feb 15 13:16:02 2023  A6: 2000
Wed Feb 15 13:16:02 2023  skew 1.00, size 1.082e-11, alpha -1.193, combined = 6.532e-13 rroots = 2
Wed Feb 15 13:16:02 2023  
Wed Feb 15 13:16:02 2023  commencing relation filtering
Wed Feb 15 13:16:02 2023  setting target matrix density to 124.0
Wed Feb 15 13:16:02 2023  estimated available RAM is 15536.6 MB
Wed Feb 15 13:16:02 2023  commencing duplicate removal, pass 1
Wed Feb 15 13:16:13 2023  error -9 reading relation 2701881
Wed Feb 15 13:17:47 2023  error -1 reading relation 26368293
Wed Feb 15 13:17:51 2023  error -5 reading relation 27351036
Wed Feb 15 13:18:06 2023  error -9 reading relation 31165025
Wed Feb 15 13:18:30 2023  error -5 reading relation 37575349
Wed Feb 15 13:18:56 2023  error -9 reading relation 44383630
Wed Feb 15 13:19:03 2023  error -9 reading relation 46110506
Wed Feb 15 13:19:12 2023  error -5 reading relation 48593704
Wed Feb 15 13:19:12 2023  error -15 reading relation 48663950
Wed Feb 15 13:19:15 2023  error -9 reading relation 49362899
Wed Feb 15 13:19:15 2023  error -9 reading relation 49365053
Wed Feb 15 13:19:22 2023  error -9 reading relation 51320253
Wed Feb 15 13:19:22 2023  error -5 reading relation 51322238
Wed Feb 15 13:19:23 2023  error -1 reading relation 51396251
Wed Feb 15 13:19:28 2023  error -15 reading relation 52647886
Wed Feb 15 13:19:33 2023  error -9 reading relation 54049236
Wed Feb 15 13:19:42 2023  error -15 reading relation 56381773
Wed Feb 15 13:19:59 2023  error -15 reading relation 60502374
Wed Feb 15 13:20:14 2023  error -15 reading relation 64172643
Wed Feb 15 13:20:15 2023  error -15 reading relation 64497673
Wed Feb 15 13:20:15 2023  error -9 reading relation 64508424
Wed Feb 15 13:20:22 2023  error -9 reading relation 66345101
Wed Feb 15 13:20:26 2023  error -9 reading relation 67250276
Wed Feb 15 13:20:38 2023  error -9 reading relation 70277911
Wed Feb 15 13:20:44 2023  error -9 reading relation 71908480
Wed Feb 15 13:21:18 2023  error -5 reading relation 80165842
Wed Feb 15 13:21:25 2023  error -9 reading relation 82137615
Wed Feb 15 13:21:50 2023  error -9 reading relation 88347379
Wed Feb 15 13:22:03 2023  error -9 reading relation 91589200
Wed Feb 15 13:22:03 2023  error -15 reading relation 91591217
Wed Feb 15 13:24:05 2023  error -5 reading relation 121613732
Wed Feb 15 13:24:06 2023  error -15 reading relation 122024944
Wed Feb 15 13:24:22 2023  error -15 reading relation 125871445
Wed Feb 15 13:24:37 2023  error -1 reading relation 129690046
Wed Feb 15 13:24:56 2023  error -9 reading relation 134514352
Wed Feb 15 13:25:11 2023  error -9 reading relation 138295992
Wed Feb 15 13:25:35 2023  error -9 reading relation 144576784
Wed Feb 15 13:25:38 2023  error -1 reading relation 145433038
Wed Feb 15 13:25:42 2023  error -5 reading relation 146410013
Wed Feb 15 13:25:55 2023  error -15 reading relation 149652703
Wed Feb 15 13:25:56 2023  error -9 reading relation 150031669
Wed Feb 15 13:25:56 2023  error -1 reading relation 150062876
Wed Feb 15 13:26:01 2023  error -9 reading relation 151282408
Wed Feb 15 13:26:10 2023  error -15 reading relation 153586517
Wed Feb 15 13:26:15 2023  error -15 reading relation 155023824
Wed Feb 15 13:26:16 2023  error -1 reading relation 155078226
Wed Feb 15 13:26:16 2023  error -9 reading relation 155128697
Wed Feb 15 13:26:21 2023  error -9 reading relation 156487246
Wed Feb 15 13:26:21 2023  error -9 reading relation 156488656
Wed Feb 15 13:26:21 2023  error -9 reading relation 156490743
Wed Feb 15 13:26:24 2023  error -1 reading relation 157159499
Wed Feb 15 13:26:27 2023  error -9 reading relation 157981749
Wed Feb 15 13:26:45 2023  error -1 reading relation 162754931
Wed Feb 15 13:26:47 2023  error -15 reading relation 163356103
Wed Feb 15 13:26:53 2023  error -9 reading relation 164875768
Wed Feb 15 13:26:54 2023  error -5 reading relation 165155383
Wed Feb 15 13:27:05 2023  error -9 reading relation 167966522
Wed Feb 15 13:27:06 2023  error -9 reading relation 168097228
Wed Feb 15 13:27:06 2023  error -15 reading relation 168115190
Wed Feb 15 13:27:10 2023  error -1 reading relation 169196146
Wed Feb 15 13:27:17 2023  error -9 reading relation 171070019
Wed Feb 15 13:27:18 2023  error -5 reading relation 171194063
Wed Feb 15 13:27:34 2023  error -9 reading relation 175450850
Wed Feb 15 13:27:34 2023  error -15 reading relation 175469698
Wed Feb 15 13:27:44 2023  error -9 reading relation 178051576
Wed Feb 15 13:27:45 2023  error -9 reading relation 178224136
Wed Feb 15 13:27:50 2023  error -9 reading relation 179585636
Wed Feb 15 13:27:59 2023  error -15 reading relation 181649073
Wed Feb 15 13:28:00 2023  error -9 reading relation 182098393
Wed Feb 15 13:28:04 2023  error -5 reading relation 182987642
Wed Feb 15 13:28:12 2023  error -15 reading relation 184998671
Wed Feb 15 13:28:26 2023  error -9 reading relation 188201361
Wed Feb 15 13:28:26 2023  error -9 reading relation 188232077
Wed Feb 15 13:28:32 2023  error -9 reading relation 189611004
Wed Feb 15 13:28:32 2023  error -1 reading relation 189661136
Wed Feb 15 13:28:54 2023  error -5 reading relation 196831099
Wed Feb 15 13:28:54 2023  error -9 reading relation 196988155
Wed Feb 15 13:28:55 2023  error -9 reading relation 197234961
Wed Feb 15 13:28:55 2023  error -9 reading relation 197266729
Wed Feb 15 13:28:56 2023  error -9 reading relation 197388534
Wed Feb 15 13:28:56 2023  error -15 reading relation 197712797
Wed Feb 15 13:28:57 2023  error -15 reading relation 197771847
Wed Feb 15 13:28:57 2023  error -9 reading relation 198068094
Wed Feb 15 13:28:58 2023  error -5 reading relation 198147469
Wed Feb 15 13:28:58 2023  error -9 reading relation 198190302
Wed Feb 15 13:29:01 2023  error -15 reading relation 199210379
Wed Feb 15 13:29:04 2023  error -9 reading relation 200331633
Wed Feb 15 13:29:04 2023  error -9 reading relation 200350830
Wed Feb 15 13:29:14 2023  error -15 reading relation 203649598
Wed Feb 15 13:29:16 2023  error -15 reading relation 204315935
Wed Feb 15 13:29:29 2023  skipped 195 relations with b > 2^32
Wed Feb 15 13:29:29 2023  skipped 52 relations with composite factors
Wed Feb 15 13:29:29 2023  found 43834343 hash collisions in 208458762 relations
Wed Feb 15 13:29:41 2023  commencing duplicate removal, pass 2
Wed Feb 15 13:35:27 2023  found 46264128 duplicates and 162194634 unique relations
Wed Feb 15 13:35:27 2023  memory use: 1321.5 MB
Wed Feb 15 13:35:27 2023  reading ideals above 107937792
Wed Feb 15 13:35:27 2023  commencing singleton removal, initial pass
Wed Feb 15 13:43:59 2023  memory use: 3012.0 MB
Wed Feb 15 13:44:00 2023  reading all ideals from disk
Wed Feb 15 13:44:15 2023  memory use: 4095.1 MB
Wed Feb 15 13:44:28 2023  commencing in-memory singleton removal
Wed Feb 15 13:44:37 2023  begin with 162194634 relations and 122560153 unique ideals
Wed Feb 15 13:44:54 2023  reduce to 118764622 relations and 75822552 ideals in 11 passes
Wed Feb 15 13:44:54 2023  max relations containing the same ideal: 46
Wed Feb 15 13:44:59 2023  reading ideals above 720000
Wed Feb 15 13:44:59 2023  commencing singleton removal, initial pass
Wed Feb 15 14:01:27 2023  memory use: 2756.0 MB
Wed Feb 15 14:01:28 2023  reading all ideals from disk
Wed Feb 15 14:02:03 2023  memory use: 5484.0 MB
Wed Feb 15 14:02:24 2023  keeping 87612683 ideals with weight <= 200, target excess is 590800
Wed Feb 15 14:02:48 2023  commencing in-memory singleton removal
Wed Feb 15 14:03:01 2023  begin with 118764622 relations and 87612683 unique ideals
Wed Feb 15 14:03:09 2023  reduce to 118764609 relations and 87612670 ideals in 3 passes
Wed Feb 15 14:03:09 2023  max relations containing the same ideal: 200
Wed Feb 15 14:04:03 2023  removing 8325551 relations and 6325551 ideals in 2000000 cliques
Wed Feb 15 14:04:10 2023  commencing in-memory singleton removal
Wed Feb 15 14:04:20 2023  begin with 110439058 relations and 87612670 unique ideals
Wed Feb 15 14:04:34 2023  reduce to 109970602 relations and 80808516 ideals in 6 passes
Wed Feb 15 14:04:34 2023  max relations containing the same ideal: 198
Wed Feb 15 14:05:26 2023  removing 6583089 relations and 4583089 ideals in 2000000 cliques
Wed Feb 15 14:05:32 2023  commencing in-memory singleton removal
Wed Feb 15 14:05:41 2023  begin with 103387513 relations and 80808516 unique ideals
Wed Feb 15 14:05:54 2023  reduce to 103067336 relations and 75899134 ideals in 6 passes
Wed Feb 15 14:05:54 2023  max relations containing the same ideal: 192
Wed Feb 15 14:06:42 2023  removing 6115421 relations and 4115421 ideals in 2000000 cliques
Wed Feb 15 14:06:48 2023  commencing in-memory singleton removal
Wed Feb 15 14:06:59 2023  begin with 96951915 relations and 75899134 unique ideals
Wed Feb 15 14:07:13 2023  reduce to 96671764 relations and 71498312 ideals in 7 passes
Wed Feb 15 14:07:13 2023  max relations containing the same ideal: 186
Wed Feb 15 14:07:57 2023  removing 5870859 relations and 3870859 ideals in 2000000 cliques
Wed Feb 15 14:08:03 2023  commencing in-memory singleton removal
Wed Feb 15 14:08:11 2023  begin with 90800905 relations and 71498312 unique ideals
Wed Feb 15 14:08:22 2023  reduce to 90537747 relations and 67359121 ideals in 6 passes
Wed Feb 15 14:08:22 2023  max relations containing the same ideal: 179
Wed Feb 15 14:09:02 2023  removing 5722005 relations and 3722005 ideals in 2000000 cliques
Wed Feb 15 14:09:07 2023  commencing in-memory singleton removal
Wed Feb 15 14:09:16 2023  begin with 84815742 relations and 67359121 unique ideals
Wed Feb 15 14:09:29 2023  reduce to 84559883 relations and 63376096 ideals in 6 passes
Wed Feb 15 14:09:29 2023  max relations containing the same ideal: 172
Wed Feb 15 14:10:09 2023  removing 5619210 relations and 3619210 ideals in 2000000 cliques
Wed Feb 15 14:10:15 2023  commencing in-memory singleton removal
Wed Feb 15 14:10:21 2023  begin with 78940673 relations and 63376096 unique ideals
Wed Feb 15 14:10:32 2023  reduce to 78682822 relations and 59493442 ideals in 7 passes
Wed Feb 15 14:10:32 2023  max relations containing the same ideal: 164
Wed Feb 15 14:11:06 2023  removing 5550109 relations and 3550109 ideals in 2000000 cliques
Wed Feb 15 14:11:11 2023  commencing in-memory singleton removal
Wed Feb 15 14:11:17 2023  begin with 73132713 relations and 59493442 unique ideals
Wed Feb 15 14:11:28 2023  reduce to 72869098 relations and 55673766 ideals in 6 passes
Wed Feb 15 14:11:28 2023  max relations containing the same ideal: 158
Wed Feb 15 14:12:01 2023  removing 5503057 relations and 3503057 ideals in 2000000 cliques
Wed Feb 15 14:12:06 2023  commencing in-memory singleton removal
Wed Feb 15 14:12:12 2023  begin with 67366041 relations and 55673766 unique ideals
Wed Feb 15 14:12:20 2023  reduce to 67091485 relations and 51889549 ideals in 6 passes
Wed Feb 15 14:12:20 2023  max relations containing the same ideal: 148
Wed Feb 15 14:12:52 2023  removing 5473265 relations and 3473265 ideals in 2000000 cliques
Wed Feb 15 14:12:56 2023  commencing in-memory singleton removal
Wed Feb 15 14:13:01 2023  begin with 61618220 relations and 51889549 unique ideals
Wed Feb 15 14:13:09 2023  reduce to 61327868 relations and 48118280 ideals in 6 passes
Wed Feb 15 14:13:09 2023  max relations containing the same ideal: 141
Wed Feb 15 14:13:37 2023  removing 5464524 relations and 3464524 ideals in 2000000 cliques
Wed Feb 15 14:13:42 2023  commencing in-memory singleton removal
Wed Feb 15 14:13:46 2023  begin with 55863344 relations and 48118280 unique ideals
Wed Feb 15 14:13:55 2023  reduce to 55550743 relations and 44332377 ideals in 6 passes
Wed Feb 15 14:13:55 2023  max relations containing the same ideal: 133
Wed Feb 15 14:14:18 2023  removing 5467632 relations and 3467632 ideals in 2000000 cliques
Wed Feb 15 14:14:22 2023  commencing in-memory singleton removal
Wed Feb 15 14:14:28 2023  begin with 50083111 relations and 44332377 unique ideals
Wed Feb 15 14:14:35 2023  reduce to 49740518 relations and 40511564 ideals in 6 passes
Wed Feb 15 14:14:35 2023  max relations containing the same ideal: 121
Wed Feb 15 14:14:55 2023  removing 5486908 relations and 3486908 ideals in 2000000 cliques
Wed Feb 15 14:14:59 2023  commencing in-memory singleton removal
Wed Feb 15 14:15:02 2023  begin with 44253610 relations and 40511564 unique ideals
Wed Feb 15 14:15:10 2023  reduce to 43870565 relations and 36628632 ideals in 6 passes
Wed Feb 15 14:15:10 2023  max relations containing the same ideal: 112
Wed Feb 15 14:15:31 2023  removing 5519594 relations and 3519594 ideals in 2000000 cliques
Wed Feb 15 14:15:35 2023  commencing in-memory singleton removal
Wed Feb 15 14:15:38 2023  begin with 38350971 relations and 36628632 unique ideals
Wed Feb 15 14:15:46 2023  reduce to 37913032 relations and 32654060 ideals in 8 passes
Wed Feb 15 14:15:46 2023  max relations containing the same ideal: 103
Wed Feb 15 14:16:05 2023  removing 5570147 relations and 3570147 ideals in 2000000 cliques
Wed Feb 15 14:16:08 2023  commencing in-memory singleton removal
Wed Feb 15 14:16:12 2023  begin with 32342885 relations and 32654060 unique ideals
Wed Feb 15 14:16:19 2023  reduce to 31824035 relations and 28541891 ideals in 7 passes
Wed Feb 15 14:16:19 2023  max relations containing the same ideal: 90
Wed Feb 15 14:16:34 2023  removing 5640249 relations and 3640249 ideals in 2000000 cliques
Wed Feb 15 14:16:37 2023  commencing in-memory singleton removal
Wed Feb 15 14:16:40 2023  begin with 26183786 relations and 28541891 unique ideals
Wed Feb 15 14:16:45 2023  reduce to 25533337 relations and 24216741 ideals in 7 passes
Wed Feb 15 14:16:45 2023  max relations containing the same ideal: 76
Wed Feb 15 14:16:56 2023  removing 2232943 relations and 1601676 ideals in 631267 cliques
Wed Feb 15 14:16:58 2023  commencing in-memory singleton removal
Wed Feb 15 14:17:00 2023  begin with 23300394 relations and 24216741 unique ideals
Wed Feb 15 14:17:04 2023  reduce to 23135665 relations and 22446607 ideals in 7 passes
Wed Feb 15 14:17:04 2023  max relations containing the same ideal: 70
Wed Feb 15 14:17:19 2023  relations with 0 large ideals: 22539
Wed Feb 15 14:17:19 2023  relations with 1 large ideals: 10187
Wed Feb 15 14:17:19 2023  relations with 2 large ideals: 133286
Wed Feb 15 14:17:19 2023  relations with 3 large ideals: 818011
Wed Feb 15 14:17:19 2023  relations with 4 large ideals: 2679571
Wed Feb 15 14:17:19 2023  relations with 5 large ideals: 5182410
Wed Feb 15 14:17:19 2023  relations with 6 large ideals: 6226294
Wed Feb 15 14:17:19 2023  relations with 7+ large ideals: 8063367
Wed Feb 15 14:17:19 2023  commencing 2-way merge
Wed Feb 15 14:17:39 2023  reduce to 15724079 relation sets and 15035021 unique ideals
Wed Feb 15 14:17:39 2023  commencing full merge
Wed Feb 15 14:28:09 2023  memory use: 2011.4 MB
Wed Feb 15 14:28:12 2023  found 6950749 cycles, need 6933221
Wed Feb 15 14:28:16 2023  weight of 6933221 cycles is about 859873420 (124.02/cycle)
Wed Feb 15 14:28:16 2023  distribution of cycle lengths:
Wed Feb 15 14:28:16 2023  1 relations: 198318
Wed Feb 15 14:28:16 2023  2 relations: 341447
Wed Feb 15 14:28:16 2023  3 relations: 432927
Wed Feb 15 14:28:16 2023  4 relations: 464069
Wed Feb 15 14:28:16 2023  5 relations: 495469
Wed Feb 15 14:28:16 2023  6 relations: 503542
Wed Feb 15 14:28:16 2023  7 relations: 501765
Wed Feb 15 14:28:16 2023  8 relations: 487336
Wed Feb 15 14:28:16 2023  9 relations: 464761
Wed Feb 15 14:28:16 2023  10+ relations: 3043587
Wed Feb 15 14:28:16 2023  heaviest cycle: 28 relations
Wed Feb 15 14:28:19 2023  commencing cycle optimization
Wed Feb 15 14:28:45 2023  start with 65752273 relations
Wed Feb 15 14:33:20 2023  pruned 3555489 relations
Wed Feb 15 14:33:20 2023  memory use: 1637.5 MB
Wed Feb 15 14:33:20 2023  distribution of cycle lengths:
Wed Feb 15 14:33:20 2023  1 relations: 198318
Wed Feb 15 14:33:20 2023  2 relations: 350654
Wed Feb 15 14:33:20 2023  3 relations: 452533
Wed Feb 15 14:33:20 2023  4 relations: 486730
Wed Feb 15 14:33:20 2023  5 relations: 524262
Wed Feb 15 14:33:20 2023  6 relations: 533224
Wed Feb 15 14:33:20 2023  7 relations: 534148
Wed Feb 15 14:33:20 2023  8 relations: 517899
Wed Feb 15 14:33:20 2023  9 relations: 493298
Wed Feb 15 14:33:20 2023  10+ relations: 2842155
Wed Feb 15 14:33:20 2023  heaviest cycle: 28 relations
Wed Feb 15 14:33:40 2023  RelProcTime: 4658
Wed Feb 15 14:33:40 2023  elapsed time 01:17:40
Wed Feb 15 14:35:19 2023  
Wed Feb 15 14:35:19 2023  
Wed Feb 15 14:35:19 2023  Msieve v. 1.54 (SVN unknown)
Wed Feb 15 14:35:19 2023  random seeds: d56a5074 b14fa361
Wed Feb 15 14:35:19 2023  factoring 1165906782840276776336720491907544203055920259941528865433269504250827924688852970332267215346129573006006496411607664062237279302051077319844687272280552363681703843300831897924282872569479454439057920130518880529465505670216833 (229 digits)
Wed Feb 15 14:35:20 2023  searching for 15-digit factors
Wed Feb 15 14:35:21 2023  commencing number field sieve (229-digit input)
Wed Feb 15 14:35:21 2023  R0: -1000000000000000000000000000000000000000
Wed Feb 15 14:35:21 2023  R1: 1
Wed Feb 15 14:35:21 2023  A0: -2
Wed Feb 15 14:35:21 2023  A1: 0
Wed Feb 15 14:35:21 2023  A2: 0
Wed Feb 15 14:35:21 2023  A3: 225
Wed Feb 15 14:35:21 2023  A4: 0
Wed Feb 15 14:35:21 2023  A5: 0
Wed Feb 15 14:35:21 2023  A6: 2000
Wed Feb 15 14:35:21 2023  skew 1.00, size 1.082e-11, alpha -1.193, combined = 6.532e-13 rroots = 2
Wed Feb 15 14:35:21 2023  
Wed Feb 15 14:35:21 2023  commencing linear algebra
Wed Feb 15 14:35:21 2023  using VBITS=256
Wed Feb 15 14:35:23 2023  read 6933221 cycles
Wed Feb 15 14:35:50 2023  cycles contain 22795217 unique relations
Wed Feb 15 14:41:22 2023  read 22795217 relations
Wed Feb 15 14:41:29 2023  using 20 quadratic characters above 4294917295
Wed Feb 15 14:41:45 2023  building initial matrix
Wed Feb 15 14:52:03 2023  memory use: 3042.8 MB
Wed Feb 15 14:52:11 2023  read 6933221 cycles
Wed Feb 15 14:52:12 2023  matrix is 6933044 x 6933221 (3316.5 MB) with weight 972980325 (140.34/col)
Wed Feb 15 14:52:12 2023  sparse part has weight 793125025 (114.39/col)
Wed Feb 15 14:54:37 2023  filtering completed in 2 passes
Wed Feb 15 14:54:39 2023  matrix is 6932966 x 6933141 (3316.5 MB) with weight 972977233 (140.34/col)
Wed Feb 15 14:54:39 2023  sparse part has weight 793124061 (114.40/col)
Wed Feb 15 14:55:26 2023  matrix starts at (0, 0)
Wed Feb 15 14:55:28 2023  matrix is 6932966 x 6933141 (3316.5 MB) with weight 972977233 (140.34/col)
Wed Feb 15 14:55:28 2023  sparse part has weight 793124061 (114.40/col)
Wed Feb 15 14:55:28 2023  saving the first 240 matrix rows for later
Wed Feb 15 14:55:31 2023  matrix includes 256 packed rows
Wed Feb 15 14:55:35 2023  matrix is 6932726 x 6933141 (3054.8 MB) with weight 727259833 (104.90/col)
Wed Feb 15 14:55:35 2023  sparse part has weight 689879642 (99.50/col)
Wed Feb 15 14:55:35 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Wed Feb 15 14:56:07 2023  commencing Lanczos iteration (8 threads)
Wed Feb 15 14:56:07 2023  memory use: 4154.1 MB
Wed Feb 15 15:01:59 2023  linear algebra at 0.4%, ETA 21h46m
Wed Feb 15 15:10:43 2023  checking every 10000 dimensions, checkpointing every 320000 dimensions
Thu Feb 16 11:54:51 2023  lanczos halted after 27163 iterations (dim = 6932723)
Thu Feb 16 11:55:35 2023  recovered 32 nontrivial dependencies
Thu Feb 16 11:55:35 2023  BLanczosTime: 76814
Thu Feb 16 11:55:35 2023  
Thu Feb 16 11:55:35 2023  commencing square root phase
Thu Feb 16 11:55:35 2023  reading relations for dependency 1
Thu Feb 16 11:55:37 2023  read 3466316 cycles
Thu Feb 16 11:55:49 2023  cycles contain 11394492 unique relations
Thu Feb 16 12:00:27 2023  read 11394492 relations
Thu Feb 16 12:01:21 2023  multiplying 11394492 relations
Thu Feb 16 12:07:37 2023  multiply complete, coefficients have about 400.14 million bits
Thu Feb 16 12:07:38 2023  initial square root is modulo 15126281
Thu Feb 16 12:10:44 2023  sqrtTime: 909
Thu Feb 16 12:10:44 2023  p96 factor: 182395240830864704979253968039712025224250122294775859413994933839710543987917566837126969451227
Thu Feb 16 12:10:44 2023  p133 factor: 6392199585522208548552589377681688057553132298252750414999093052503811623773232273979357716101664488023518826519742927542573086893779
Thu Feb 16 12:10:44 2023  elapsed time 21:35:25

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 27, 2022 10:54:27 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 27 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:05 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 5 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:09:32 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 32 秒 (日本時間)
5043e63584 / 37821792Dmitry DomanovNovember 2, 2022 16:14:13 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 13 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:32:29 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 29 秒 (日本時間)
5511e71200 / 16251Dmitry DomanovFebruary 2, 2023 04:59:11 UTC 2023 年 2 月 2 日 (木) 13 時 59 分 11 秒 (日本時間)

4×10239+45×10119-49

c221

name 名前NFS@home + Dmitry Domanov
date 日付March 10, 2023 21:36:22 UTC 2023 年 3 月 11 日 (土) 6 時 36 分 22 秒 (日本時間)
composite number 合成数
66520579461502659587948447000498182941248448017684605590388521298914062322780983616796581023221862823923546869301262942560597978956247339937936045181588923049807755404343846377962128951577637029909930762847836539066316453<221>
prime factors 素因数
4047628077402729453461660520507795138162295794389930468129012325065451464628021707106913559316869<97>
16434459438819635087785459913229329584681806418847112381105855786867640796871973391448998577115021331737311569637093832536737<125>
factorization results 素因数分解の結果
Thu Mar  9 20:54:01 2023  
Thu Mar  9 20:54:01 2023  
Thu Mar  9 20:54:01 2023  Msieve v. 1.54 (SVN unknown)
Thu Mar  9 20:54:01 2023  random seeds: ea67362a dc452df5
Thu Mar  9 20:54:01 2023  factoring 66520579461502659587948447000498182941248448017684605590388521298914062322780983616796581023221862823923546869301262942560597978956247339937936045181588923049807755404343846377962128951577637029909930762847836539066316453 (221 digits)
Thu Mar  9 20:54:03 2023  searching for 15-digit factors
Thu Mar  9 20:54:03 2023  commencing number field sieve (221-digit input)
Thu Mar  9 20:54:03 2023  R0: -5000000000000000000000000000000000000000
Thu Mar  9 20:54:03 2023  R1: 1
Thu Mar  9 20:54:03 2023  A0: -5
Thu Mar  9 20:54:03 2023  A1: 0
Thu Mar  9 20:54:03 2023  A2: 0
Thu Mar  9 20:54:03 2023  A3: 45
Thu Mar  9 20:54:03 2023  A4: 0
Thu Mar  9 20:54:03 2023  A5: 0
Thu Mar  9 20:54:03 2023  A6: 32
Thu Mar  9 20:54:03 2023  skew 1.00, size 9.318e-12, alpha -0.247, combined = 6.045e-13 rroots = 2
Thu Mar  9 20:54:03 2023  
Thu Mar  9 20:54:03 2023  commencing relation filtering
Thu Mar  9 20:54:03 2023  setting target matrix density to 130.0
Thu Mar  9 20:54:03 2023  estimated available RAM is 15536.6 MB
Thu Mar  9 20:54:03 2023  commencing duplicate removal, pass 1
Thu Mar  9 20:54:30 2023  error -1 reading relation 6441073
Thu Mar  9 20:54:30 2023  error -9 reading relation 6474714
Thu Mar  9 20:55:13 2023  error -9 reading relation 24209682
Thu Mar  9 20:55:40 2023  error -1 reading relation 35632970
Thu Mar  9 20:56:10 2023  error -9 reading relation 47722576
Thu Mar  9 20:56:26 2023  error -1 reading relation 54397091
Thu Mar  9 20:56:27 2023  error -1 reading relation 54828823
Thu Mar  9 20:56:47 2023  error -15 reading relation 63098953
Thu Mar  9 20:56:51 2023  error -5 reading relation 64870400
Thu Mar  9 20:57:20 2023  error -9 reading relation 76724002
Thu Mar  9 20:57:49 2023  error -9 reading relation 88664003
Thu Mar  9 20:57:51 2023  error -5 reading relation 89490701
Thu Mar  9 20:57:53 2023  error -9 reading relation 90502642
Thu Mar  9 20:57:53 2023  error -5 reading relation 90522186
Thu Mar  9 20:58:00 2023  error -15 reading relation 93201072
Thu Mar  9 20:58:14 2023  error -1 reading relation 99198242
Thu Mar  9 20:58:14 2023  error -1 reading relation 99208016
Thu Mar  9 20:58:18 2023  error -5 reading relation 100875276
Thu Mar  9 20:58:28 2023  error -9 reading relation 104669110
Thu Mar  9 20:58:28 2023  error -15 reading relation 104699490
Thu Mar  9 20:58:37 2023  error -9 reading relation 108508583
Thu Mar  9 20:58:37 2023  error -5 reading relation 108588232
Thu Mar  9 20:58:43 2023  error -9 reading relation 111052499
Thu Mar  9 20:58:48 2023  error -9 reading relation 113277438
Thu Mar  9 20:59:05 2023  error -1 reading relation 120319484
Thu Mar  9 20:59:16 2023  error -1 reading relation 124884879
Thu Mar  9 20:59:18 2023  error -9 reading relation 125584120
Thu Mar  9 20:59:22 2023  error -9 reading relation 127280199
Thu Mar  9 20:59:23 2023  error -9 reading relation 127527845
Thu Mar  9 20:59:33 2023  error -9 reading relation 131533182
Thu Mar  9 20:59:37 2023  error -9 reading relation 133352701
Thu Mar  9 20:59:44 2023  error -9 reading relation 136018127
Thu Mar  9 20:59:56 2023  error -9 reading relation 141011470
Thu Mar  9 20:59:56 2023  error -9 reading relation 141283155
Thu Mar  9 20:59:57 2023  error -9 reading relation 141766089
Thu Mar  9 20:59:59 2023  error -15 reading relation 142200335
Thu Mar  9 20:59:59 2023  error -1 reading relation 142223532
Thu Mar  9 21:00:00 2023  error -5 reading relation 142673194
Thu Mar  9 21:00:03 2023  error -15 reading relation 144032457
Thu Mar  9 21:00:05 2023  error -5 reading relation 144869635
Thu Mar  9 21:00:15 2023  error -15 reading relation 149091845
Thu Mar  9 21:00:23 2023  error -15 reading relation 152207322
Thu Mar  9 21:00:31 2023  error -9 reading relation 155501947
Thu Mar  9 21:00:31 2023  error -15 reading relation 155507412
Thu Mar  9 21:00:48 2023  error -5 reading relation 162808286
Thu Mar  9 21:00:59 2023  error -9 reading relation 167072662
Thu Mar  9 21:01:02 2023  error -1 reading relation 168497000
Thu Mar  9 21:01:02 2023  error -5 reading relation 168501390
Thu Mar  9 21:01:02 2023  error -9 reading relation 168510125
Thu Mar  9 21:01:07 2023  error -15 reading relation 170342389
Thu Mar  9 21:01:15 2023  error -9 reading relation 173800949
Thu Mar  9 21:01:21 2023  error -9 reading relation 176418071
Thu Mar  9 21:01:39 2023  error -1 reading relation 183732332
Thu Mar  9 21:01:39 2023  error -15 reading relation 183732524
Thu Mar  9 21:01:39 2023  error -15 reading relation 183732981
Thu Mar  9 21:01:40 2023  error -15 reading relation 184266553
Thu Mar  9 21:01:47 2023  error -15 reading relation 186981128
Thu Mar  9 21:02:01 2023  error -9 reading relation 192984647
Thu Mar  9 21:02:27 2023  error -9 reading relation 203690863
Thu Mar  9 21:02:30 2023  error -15 reading relation 205032113
Thu Mar  9 21:02:31 2023  error -15 reading relation 205095421
Thu Mar  9 21:02:31 2023  error -15 reading relation 205381798
Thu Mar  9 21:02:31 2023  error -9 reading relation 205407123
Thu Mar  9 21:02:31 2023  error -15 reading relation 205435339
Thu Mar  9 21:02:43 2023  error -9 reading relation 210289103
Thu Mar  9 21:02:47 2023  error -15 reading relation 211727005
Thu Mar  9 21:02:47 2023  error -9 reading relation 212039200
Thu Mar  9 21:02:54 2023  skipped 74 relations with b > 2^32
Thu Mar  9 21:02:54 2023  skipped 27 relations with composite factors
Thu Mar  9 21:02:54 2023  found 46927981 hash collisions in 214795824 relations
Thu Mar  9 21:03:16 2023  added 405986 free relations
Thu Mar  9 21:03:16 2023  commencing duplicate removal, pass 2
Thu Mar  9 21:10:05 2023  found 50296425 duplicates and 164905385 unique relations
Thu Mar  9 21:10:05 2023  memory use: 1321.5 MB
Thu Mar  9 21:10:05 2023  reading ideals above 115933184
Thu Mar  9 21:10:05 2023  commencing singleton removal, initial pass
Thu Mar  9 21:28:43 2023  memory use: 3012.0 MB
Thu Mar  9 21:28:44 2023  reading all ideals from disk
Thu Mar  9 21:29:00 2023  memory use: 4116.9 MB
Thu Mar  9 21:29:13 2023  commencing in-memory singleton removal
Thu Mar  9 21:29:19 2023  begin with 164905385 relations and 122375040 unique ideals
Thu Mar  9 21:29:43 2023  reduce to 122523876 relations and 76910748 ideals in 11 passes
Thu Mar  9 21:29:43 2023  max relations containing the same ideal: 52
Thu Mar  9 21:29:51 2023  reading ideals above 720000
Thu Mar  9 21:29:52 2023  commencing singleton removal, initial pass
Thu Mar  9 21:49:58 2023  memory use: 2756.0 MB
Thu Mar  9 21:49:58 2023  reading all ideals from disk
Thu Mar  9 21:50:34 2023  memory use: 5666.0 MB
Thu Mar  9 21:50:58 2023  keeping 89539467 ideals with weight <= 200, target excess is 614260
Thu Mar  9 21:51:24 2023  commencing in-memory singleton removal
Thu Mar  9 21:51:35 2023  begin with 122523876 relations and 89539467 unique ideals
Thu Mar  9 21:51:51 2023  reduce to 122523810 relations and 89539401 ideals in 4 passes
Thu Mar  9 21:51:51 2023  max relations containing the same ideal: 200
Thu Mar  9 21:52:57 2023  removing 8166003 relations and 6166003 ideals in 2000000 cliques
Thu Mar  9 21:53:04 2023  commencing in-memory singleton removal
Thu Mar  9 21:53:14 2023  begin with 114357807 relations and 89539401 unique ideals
Thu Mar  9 21:53:40 2023  reduce to 113919792 relations and 82926252 ideals in 7 passes
Thu Mar  9 21:53:40 2023  max relations containing the same ideal: 198
Thu Mar  9 21:54:43 2023  removing 6469075 relations and 4469075 ideals in 2000000 cliques
Thu Mar  9 21:54:50 2023  commencing in-memory singleton removal
Thu Mar  9 21:54:59 2023  begin with 107450717 relations and 82926252 unique ideals
Thu Mar  9 21:55:22 2023  reduce to 107151333 relations and 78152285 ideals in 7 passes
Thu Mar  9 21:55:22 2023  max relations containing the same ideal: 194
Thu Mar  9 21:56:21 2023  removing 6021676 relations and 4021676 ideals in 2000000 cliques
Thu Mar  9 21:56:27 2023  commencing in-memory singleton removal
Thu Mar  9 21:56:36 2023  begin with 101129657 relations and 78152285 unique ideals
Thu Mar  9 21:56:57 2023  reduce to 100868881 relations and 73865075 ideals in 7 passes
Thu Mar  9 21:56:57 2023  max relations containing the same ideal: 187
Thu Mar  9 21:57:52 2023  removing 5789188 relations and 3789188 ideals in 2000000 cliques
Thu Mar  9 21:57:58 2023  commencing in-memory singleton removal
Thu Mar  9 21:58:06 2023  begin with 95079693 relations and 73865075 unique ideals
Thu Mar  9 21:58:25 2023  reduce to 94836757 relations and 69828519 ideals in 7 passes
Thu Mar  9 21:58:25 2023  max relations containing the same ideal: 181
Thu Mar  9 21:59:17 2023  removing 5639849 relations and 3639849 ideals in 2000000 cliques
Thu Mar  9 21:59:23 2023  commencing in-memory singleton removal
Thu Mar  9 21:59:30 2023  begin with 89196908 relations and 69828519 unique ideals
Thu Mar  9 21:59:46 2023  reduce to 88961011 relations and 65948152 ideals in 6 passes
Thu Mar  9 21:59:46 2023  max relations containing the same ideal: 174
Thu Mar  9 22:00:35 2023  removing 5540528 relations and 3540528 ideals in 2000000 cliques
Thu Mar  9 22:00:40 2023  commencing in-memory singleton removal
Thu Mar  9 22:00:47 2023  begin with 83420483 relations and 65948152 unique ideals
Thu Mar  9 22:01:04 2023  reduce to 83184686 relations and 62167024 ideals in 7 passes
Thu Mar  9 22:01:04 2023  max relations containing the same ideal: 166
Thu Mar  9 22:01:50 2023  removing 5470761 relations and 3470761 ideals in 2000000 cliques
Thu Mar  9 22:01:55 2023  commencing in-memory singleton removal
Thu Mar  9 22:02:02 2023  begin with 77713925 relations and 62167024 unique ideals
Thu Mar  9 22:02:16 2023  reduce to 77474779 relations and 58451912 ideals in 6 passes
Thu Mar  9 22:02:16 2023  max relations containing the same ideal: 158
Thu Mar  9 22:02:58 2023  removing 5421923 relations and 3421923 ideals in 2000000 cliques
Thu Mar  9 22:03:03 2023  commencing in-memory singleton removal
Thu Mar  9 22:03:09 2023  begin with 72052856 relations and 58451912 unique ideals
Thu Mar  9 22:03:23 2023  reduce to 71806145 relations and 54777714 ideals in 7 passes
Thu Mar  9 22:03:23 2023  max relations containing the same ideal: 150
Thu Mar  9 22:04:03 2023  removing 5391918 relations and 3391918 ideals in 2000000 cliques
Thu Mar  9 22:04:08 2023  commencing in-memory singleton removal
Thu Mar  9 22:04:14 2023  begin with 66414227 relations and 54777714 unique ideals
Thu Mar  9 22:04:26 2023  reduce to 66155242 relations and 51120371 ideals in 6 passes
Thu Mar  9 22:04:26 2023  max relations containing the same ideal: 142
Thu Mar  9 22:05:05 2023  removing 5376389 relations and 3376389 ideals in 2000000 cliques
Thu Mar  9 22:05:09 2023  commencing in-memory singleton removal
Thu Mar  9 22:05:14 2023  begin with 60778853 relations and 51120371 unique ideals
Thu Mar  9 22:05:25 2023  reduce to 60503306 relations and 47461186 ideals in 6 passes
Thu Mar  9 22:05:25 2023  max relations containing the same ideal: 133
Thu Mar  9 22:05:59 2023  removing 5373289 relations and 3373289 ideals in 2000000 cliques
Thu Mar  9 22:06:04 2023  commencing in-memory singleton removal
Thu Mar  9 22:06:08 2023  begin with 55130017 relations and 47461186 unique ideals
Thu Mar  9 22:06:18 2023  reduce to 54831969 relations and 43781371 ideals in 6 passes
Thu Mar  9 22:06:18 2023  max relations containing the same ideal: 125
Thu Mar  9 22:06:51 2023  removing 5384549 relations and 3384549 ideals in 2000000 cliques
Thu Mar  9 22:06:55 2023  commencing in-memory singleton removal
Thu Mar  9 22:06:59 2023  begin with 49447420 relations and 43781371 unique ideals
Thu Mar  9 22:07:09 2023  reduce to 49120425 relations and 40059700 ideals in 7 passes
Thu Mar  9 22:07:09 2023  max relations containing the same ideal: 118
Thu Mar  9 22:07:39 2023  removing 5406214 relations and 3406214 ideals in 2000000 cliques
Thu Mar  9 22:07:43 2023  commencing in-memory singleton removal
Thu Mar  9 22:07:47 2023  begin with 43714211 relations and 40059700 unique ideals
Thu Mar  9 22:07:54 2023  reduce to 43347133 relations and 36273720 ideals in 6 passes
Thu Mar  9 22:07:54 2023  max relations containing the same ideal: 111
Thu Mar  9 22:08:21 2023  removing 5447538 relations and 3447538 ideals in 2000000 cliques
Thu Mar  9 22:08:25 2023  commencing in-memory singleton removal
Thu Mar  9 22:08:28 2023  begin with 37899595 relations and 36273720 unique ideals
Thu Mar  9 22:08:36 2023  reduce to 37476417 relations and 32386621 ideals in 8 passes
Thu Mar  9 22:08:36 2023  max relations containing the same ideal: 99
Thu Mar  9 22:09:00 2023  removing 5500860 relations and 3500860 ideals in 2000000 cliques
Thu Mar  9 22:09:03 2023  commencing in-memory singleton removal
Thu Mar  9 22:09:06 2023  begin with 31975557 relations and 32386621 unique ideals
Thu Mar  9 22:09:12 2023  reduce to 31473772 relations and 28361829 ideals in 7 passes
Thu Mar  9 22:09:12 2023  max relations containing the same ideal: 84
Thu Mar  9 22:09:32 2023  removing 5578003 relations and 3578003 ideals in 2000000 cliques
Thu Mar  9 22:09:36 2023  commencing in-memory singleton removal
Thu Mar  9 22:09:38 2023  begin with 25895769 relations and 28361829 unique ideals
Thu Mar  9 22:09:43 2023  reduce to 25260046 relations and 24114275 ideals in 8 passes
Thu Mar  9 22:09:43 2023  max relations containing the same ideal: 75
Thu Mar  9 22:09:59 2023  removing 1621351 relations and 1188122 ideals in 433229 cliques
Thu Mar  9 22:10:01 2023  commencing in-memory singleton removal
Thu Mar  9 22:10:02 2023  begin with 23638695 relations and 24114275 unique ideals
Thu Mar  9 22:10:06 2023  reduce to 23548149 relations and 22833976 ideals in 6 passes
Thu Mar  9 22:10:06 2023  max relations containing the same ideal: 72
Thu Mar  9 22:10:27 2023  relations with 0 large ideals: 7795
Thu Mar  9 22:10:27 2023  relations with 1 large ideals: 10611
Thu Mar  9 22:10:27 2023  relations with 2 large ideals: 150304
Thu Mar  9 22:10:27 2023  relations with 3 large ideals: 904501
Thu Mar  9 22:10:27 2023  relations with 4 large ideals: 2885697
Thu Mar  9 22:10:27 2023  relations with 5 large ideals: 5441574
Thu Mar  9 22:10:27 2023  relations with 6 large ideals: 6375010
Thu Mar  9 22:10:27 2023  relations with 7+ large ideals: 7772657
Thu Mar  9 22:10:27 2023  commencing 2-way merge
Thu Mar  9 22:10:46 2023  reduce to 16088232 relation sets and 15374059 unique ideals
Thu Mar  9 22:10:46 2023  commencing full merge
Thu Mar  9 22:20:42 2023  memory use: 1983.6 MB
Thu Mar  9 22:20:44 2023  found 7049757 cycles, need 7022259
Thu Mar  9 22:20:49 2023  weight of 7022259 cycles is about 913524653 (130.09/cycle)
Thu Mar  9 22:20:49 2023  distribution of cycle lengths:
Thu Mar  9 22:20:49 2023  1 relations: 161935
Thu Mar  9 22:20:49 2023  2 relations: 330069
Thu Mar  9 22:20:49 2023  3 relations: 430920
Thu Mar  9 22:20:49 2023  4 relations: 469375
Thu Mar  9 22:20:49 2023  5 relations: 506248
Thu Mar  9 22:20:49 2023  6 relations: 515162
Thu Mar  9 22:20:49 2023  7 relations: 516601
Thu Mar  9 22:20:49 2023  8 relations: 504244
Thu Mar  9 22:20:49 2023  9 relations: 478559
Thu Mar  9 22:20:49 2023  10+ relations: 3109146
Thu Mar  9 22:20:49 2023  heaviest cycle: 28 relations
Thu Mar  9 22:20:51 2023  commencing cycle optimization
Thu Mar  9 22:21:18 2023  start with 66889732 relations
Thu Mar  9 22:25:46 2023  pruned 3756794 relations
Thu Mar  9 22:25:46 2023  memory use: 1666.1 MB
Thu Mar  9 22:25:46 2023  distribution of cycle lengths:
Thu Mar  9 22:25:46 2023  1 relations: 161935
Thu Mar  9 22:25:46 2023  2 relations: 340440
Thu Mar  9 22:25:46 2023  3 relations: 452129
Thu Mar  9 22:25:46 2023  4 relations: 493993
Thu Mar  9 22:25:46 2023  5 relations: 537915
Thu Mar  9 22:25:46 2023  6 relations: 547560
Thu Mar  9 22:25:46 2023  7 relations: 552632
Thu Mar  9 22:25:46 2023  8 relations: 537022
Thu Mar  9 22:25:46 2023  9 relations: 508627
Thu Mar  9 22:25:46 2023  10+ relations: 2890006
Thu Mar  9 22:25:46 2023  heaviest cycle: 28 relations
Thu Mar  9 22:26:05 2023  RelProcTime: 5522
Thu Mar  9 22:26:05 2023  
Thu Mar  9 22:26:05 2023  commencing linear algebra
Thu Mar  9 22:26:05 2023  using VBITS=256
Thu Mar  9 22:26:07 2023  read 7022259 cycles
Thu Mar  9 22:26:34 2023  cycles contain 23218397 unique relations
Thu Mar  9 22:32:32 2023  read 23218397 relations
Thu Mar  9 22:32:43 2023  using 20 quadratic characters above 4294917295
Thu Mar  9 22:33:16 2023  building initial matrix
Thu Mar  9 22:43:42 2023  memory use: 3088.8 MB
Thu Mar  9 22:43:49 2023  read 7022259 cycles
Thu Mar  9 22:43:51 2023  matrix is 7022082 x 7022259 (3486.6 MB) with weight 1004806933 (143.09/col)
Thu Mar  9 22:43:51 2023  sparse part has weight 836743174 (119.16/col)
Thu Mar  9 22:46:21 2023  filtering completed in 2 passes
Thu Mar  9 22:46:23 2023  matrix is 7022016 x 7022192 (3486.6 MB) with weight 1004804521 (143.09/col)
Thu Mar  9 22:46:23 2023  sparse part has weight 836742347 (119.16/col)
Thu Mar  9 22:47:12 2023  matrix starts at (0, 0)
Thu Mar  9 22:47:14 2023  matrix is 7022016 x 7022192 (3486.6 MB) with weight 1004804521 (143.09/col)
Thu Mar  9 22:47:14 2023  sparse part has weight 836742347 (119.16/col)
Thu Mar  9 22:47:14 2023  saving the first 240 matrix rows for later
Thu Mar  9 22:47:17 2023  matrix includes 256 packed rows
Thu Mar  9 22:47:22 2023  matrix is 7021776 x 7022192 (3176.2 MB) with weight 760958330 (108.36/col)
Thu Mar  9 22:47:22 2023  sparse part has weight 720263390 (102.57/col)
Thu Mar  9 22:47:22 2023  using block size 8192 and superblock size 878592 for processor cache size 36608 kB
Thu Mar  9 22:47:56 2023  commencing Lanczos iteration (8 threads)
Thu Mar  9 22:47:56 2023  memory use: 4272.6 MB
Thu Mar  9 23:00:24 2023  linear algebra at 0.4%, ETA 47h 4m
Thu Mar  9 23:08:44 2023  checking every 10000 dimensions, checkpointing every 230000 dimensions
Fri Mar 10 20:14:45 2023  lanczos halted after 27512 iterations (dim = 7021771)
Fri Mar 10 20:15:19 2023  recovered 30 nontrivial dependencies
Fri Mar 10 20:15:19 2023  BLanczosTime: 78554
Fri Mar 10 20:15:19 2023  
Fri Mar 10 20:15:19 2023  commencing square root phase
Fri Mar 10 20:15:19 2023  handling dependencies 1 to 64
Fri Mar 10 20:15:19 2023  reading relations for dependency 1
Fri Mar 10 20:15:21 2023  read 3509451 cycles
Fri Mar 10 20:15:35 2023  cycles contain 11613618 unique relations
Fri Mar 10 20:20:49 2023  read 11613618 relations
Fri Mar 10 20:22:18 2023  multiplying 11613618 relations
Fri Mar 10 20:30:49 2023  multiply complete, coefficients have about 346.03 million bits
Fri Mar 10 20:30:50 2023  initial square root is modulo 1617827
Fri Mar 10 20:33:15 2023  sqrtTime: 1076
Fri Mar 10 20:33:15 2023  p97 factor: 4047628077402729453461660520507795138162295794389930468129012325065451464628021707106913559316869
Fri Mar 10 20:33:15 2023  p125 factor: 16434459438819635087785459913229329584681806418847112381105855786867640796871973391448998577115021331737311569637093832536737
Fri Mar 10 20:33:15 2023  elapsed time 23:39:14

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 27, 2022 10:54:33 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 33 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:13 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 13 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:09:40 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 40 秒 (日本時間)
5043e63584 / 37821792Dmitry DomanovNovember 2, 2022 16:14:24 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 24 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:32:19 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 19 秒 (日本時間)
5511e71200 / 16251Dmitry DomanovFebruary 26, 2023 07:39:38 UTC 2023 年 2 月 26 日 (日) 16 時 39 分 38 秒 (日本時間)

4×10241+45×10120-49

c188

composite cofactor 合成数の残り
12913614349187388090464629462672118082949395692037927128005996631471925042691525673800013257903017962990868679397389351521272233908963010495145661368904596425775182465667919408671112624611<188>

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 21, 2022 16:48:57 UTC 2022 年 7 月 22 日 (金) 1 時 48 分 57 秒 (日本時間)
4511e632001200Dmitry DomanovAugust 14, 2022 13:12:11 UTC 2022 年 8 月 14 日 (日) 22 時 12 分 11 秒 (日本時間)
1000Dmitry DomanovSeptember 6, 2022 20:33:58 UTC 2022 年 9 月 7 日 (水) 5 時 33 分 58 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2022 11:44:48 UTC 2022 年 9 月 24 日 (土) 20 時 44 分 48 秒 (日本時間)
5043e63584 / 67921792Dmitry DomanovNovember 19, 2022 19:02:21 UTC 2022 年 11 月 20 日 (日) 4 時 2 分 21 秒 (日本時間)
1792Dmitry DomanovDecember 23, 2022 22:48:01 UTC 2022 年 12 月 24 日 (土) 7 時 48 分 1 秒 (日本時間)

4×10247+45×10123-49

c225

composite cofactor 合成数の残り
247240833858615496234510576581931265107300353525711646314008139090556157832746777645702400944865859397871988760399438490767316743395626162633555358064185097165747522554134412240734853807637174396820527513592433684896022950359<225>

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 27, 2022 10:54:41 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 41 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:20 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 20 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:09:48 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 48 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:14:31 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 31 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:32:06 UTC 2022 年 12 月 16 日 (金) 6 時 32 分 6 秒 (日本時間)

4×10249+45×10124-49

c217

composite cofactor 合成数の残り
2214992043235313376711102786023039619835496839264299673446877980076614909815046772455343546368025162046661328446042177860051670670744281307938946346360483100115998309002627661405675715134515521665354746493308450974871<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)
403e61792Dmitry DomanovJuly 29, 2022 11:19:26 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 26 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:01:48 UTC 2022 年 8 月 17 日 (水) 16 時 1 分 48 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:09:55 UTC 2022 年 9 月 9 日 (金) 18 時 9 分 55 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 10, 2022 21:21:41 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 41 秒 (日本時間)
1792Dmitry DomanovDecember 21, 2022 09:03:51 UTC 2022 年 12 月 21 日 (水) 18 時 3 分 51 秒 (日本時間)

4×10251+45×10125-49

c205

name 名前Dmitry Domanov
date 日付July 30, 2022 08:58:01 UTC 2022 年 7 月 30 日 (土) 17 時 58 分 1 秒 (日本時間)
composite number 合成数
9559977761887509381620477953949117750649642914148259916253026491642020610275557128140989444167348001562404607214859705473071759649985828552856105747791893082858360190424602385325811069301127077808821937371<205>
prime factors 素因数
748791800575689454161947206623360614903<39>
12767204120741659577704441785903914089120397824784274534239911585087436134895818083881859848651920962475975216463810354387889892437572373064039132292250175832380439357<167>
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 15:06:09 2022 
Input number is 9559977761887509381620477953949117750649642914148259916253026491642020610275557128140989444167348001562404607214859705473071759649985828552856105747791893082858360190424602385325811069301127077808821937371 (205 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:313908303
Step 1 took 0ms
Step 2 took 4137ms
********** Factor found in step 2: 748791800575689454161947206623360614903
Found prime factor of 39 digits: 748791800575689454161947206623360614903
Prime cofactor 12767204120741659577704441785903914089120397824784274534239911585087436134895818083881859848651920962475975216463810354387889892437572373064039132292250175832380439357 has 167 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 11:19:36 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 36 秒 (日本時間)

4×10253+45×10126-49

c248

composite cofactor 合成数の残り
23893321099952930157433092727589856807326647982089566503475283553988153691398643337227944672625660948994927447930479992927576981293918910846850979745631703569901105543967294822078384429200505582674475004002131284242115801370043031871301015227213537<248>

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 27, 2022 10:54:50 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 50 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:28 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 28 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:04 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 4 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 00:54:07 UTC 2022 年 10 月 28 日 (金) 9 時 54 分 7 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 09:07:24 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 24 秒 (日本時間)

4×10255+45×10127-49

c247

name 名前Dmitry Domanov
date 日付July 29, 2022 16:46:38 UTC 2022 年 7 月 30 日 (土) 1 時 46 分 38 秒 (日本時間)
composite number 合成数
1575073459496685937548686997264410840472696366979502874464173987856180477133632428127748153717397891133830065195298878875469625458068573132116879844432766534801044115566270969309326649591011779040385014232592165663681151150880266895819694083152913<247>
prime factors 素因数
8165654561154842739732494526004438193<37>
composite cofactor 合成数の残り
192890043008864224084102271259839175748498574142392400196789893927510835481931981261743029225018836220942324650042153712751678636687360603455448757491902804781663458393393070711543017719160193985640630524659041<210>
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 13:31:46 2022 
Input number is 1575073459496685937548686997264410840472696366979502874464173987856180477133632428127748153717397891133830065195298878875469625458068573132116879844432766534801044115566270969309326649591011779040385014232592165663681151150880266895819694083152913 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2245497575
Step 1 took 0ms
Step 2 took 5075ms
********** Factor found in step 2: 8165654561154842739732494526004438193
Found prime factor of 37 digits: 8165654561154842739732494526004438193
Composite cofactor 192890043008864224084102271259839175748498574142392400196789893927510835481931981261743029225018836220942324650042153712751678636687360603455448757491902804781663458393393070711543017719160193985640630524659041 has 210 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 27, 2022 10:54:59 UTC 2022 年 7 月 27 日 (水) 19 時 54 分 59 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:01:56 UTC 2022 年 8 月 17 日 (水) 16 時 1 分 56 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:12 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 12 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 10, 2022 21:21:50 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 50 秒 (日本時間)
1792Dmitry DomanovDecember 21, 2022 09:03:57 UTC 2022 年 12 月 21 日 (水) 18 時 3 分 57 秒 (日本時間)

4×10259+45×10129-49

c240

composite cofactor 合成数の残り
704872154943960699802162270853633193170303272209058092659664915878186285318426440989005011985140544878501326798499690089523952943350073926265107990983919235262576200224802702554488094726593356011947041500055038974897051065356872669153227079<240>

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 27, 2022 10:55:05 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 5 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:35 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 35 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:20 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 20 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:52:52 UTC 2022 年 10 月 28 日 (金) 21 時 52 分 52 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 21:46:01 UTC 2022 年 12 月 7 日 (水) 6 時 46 分 1 秒 (日本時間)

4×10261+45×10130-49

c248

composite cofactor 合成数の残り
12808118408376892231194267799245156302235971737411488175955340773470373045732083088199928162942572128652351139589515481535455910282837549953963760088787217147769868353646420266617454622397634961170179456158302453968606294980400207457216030432322851<248>

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 27, 2022 10:55:17 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 17 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:44 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 44 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:28 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 28 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:53:12 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 12 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 09:07:41 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 41 秒 (日本時間)

4×10263+45×10131-49

c226

composite cofactor 合成数の残り
1329028299595396411712395983339260473169073457821757294459681615453889437273310776082605804631305944066854273437724479523122804678330040036819795049452733699209282773280467356412443129269612424333506445363035592846857862538153<226>

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 27, 2022 10:55:29 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 29 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:01:52 UTC 2022 年 8 月 10 日 (水) 18 時 1 分 52 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:36 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 36 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:14:41 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 41 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:31:50 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 50 秒 (日本時間)

4×10267+45×10133-49

c249

composite cofactor 合成数の残り
275805338043023038150736860660835577629020968343254358354912254781571207857468334955503322630682822237810090105991517067469455751652918705311512248066413867625806100125591934254121234847158788132712544378106975648273700442069991885079522471207302347<249>

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 27, 2022 10:55:48 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 48 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:02:00 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 0 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:43 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 43 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:53:27 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 27 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 09:07:55 UTC 2022 年 12 月 6 日 (火) 18 時 7 分 55 秒 (日本時間)

4×10269+45×10134-49

c245

composite cofactor 合成数の残り
11125271579663674894517158356584078468522725430255713476530618667119652670951240540311041087444966632361513371057145070894390226918496116534898546333288287689982033727320018829552085139788527044406691826115115695559849010259418189202536846681391<245>

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 27, 2022 10:55:54 UTC 2022 年 7 月 27 日 (水) 19 時 55 分 54 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:02:09 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 9 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:10:51 UTC 2022 年 9 月 9 日 (金) 18 時 10 分 51 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:53:34 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 34 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 09:08:08 UTC 2022 年 12 月 6 日 (火) 18 時 8 分 8 秒 (日本時間)

4×10271+45×10135-49

c200

composite cofactor 合成数の残り
88892835649593619691964711074714208310215803661870262602948283403227987703629826669032275314321492957895920260647762172223391769984331201467534126625899892476768273638996612819164792685179336628440183<200>

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 21, 2022 16:49:03 UTC 2022 年 7 月 22 日 (金) 1 時 49 分 3 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:02:04 UTC 2022 年 8 月 17 日 (水) 16 時 2 分 4 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:11:08 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 8 秒 (日本時間)
5043e63584 / 67051792Dmitry DomanovNovember 10, 2022 21:21:32 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 32 秒 (日本時間)
1792Dmitry DomanovDecember 21, 2022 09:04:06 UTC 2022 年 12 月 21 日 (水) 18 時 4 分 6 秒 (日本時間)

4×10275+45×10137-49

c258

name 名前Dmitry Domanov
date 日付August 6, 2022 07:41:26 UTC 2022 年 8 月 6 日 (土) 16 時 41 分 26 秒 (日本時間)
composite number 合成数
141668063545180902176633574559450769167201775263222915339043620302655557411888002955092452902901581436465391439218224915489499112411583097927347568422753892934513540108253277572465698737459565228843839218288962451207254006650936990740678513333935790273683001<258>
prime factors 素因数
65170727190293450844453218721154446081037<41>
composite cofactor 合成数の残り
2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973<217>
factorization results 素因数分解の結果
Resuming ECM residue saved by @1f1df1d735e1 with GMP-ECM 7.0.5-dev on Thu Aug  4 19:53:59 2022 
Input number is 141668063545180902176633574559450769167201775263222915339043620302655557411888002955092452902901581436465391439218224915489499112411583097927347568422753892934513540108253277572465698737459565228843839218288962451207254006650936990740678513333935790273683001 (258 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3404882750
Step 1 took 0ms
Step 2 took 15150ms
********** Factor found in step 2: 65170727190293450844453218721154446081037
Found prime factor of 41 digits: 65170727190293450844453218721154446081037
Composite cofactor 2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973 has 217 digits

c217

name 名前Dmitry Domanov
date 日付September 11, 2022 08:39:19 UTC 2022 年 9 月 11 日 (日) 17 時 39 分 19 秒 (日本時間)
composite number 合成数
2173799029916010961970564647878711894750400824588065789953766668425372730787695977625529904005066435575328002651665252497070093349316463087245371261621785890579603619227040594315304062126444205899784831764962221482973<217>
prime factors 素因数
4509638432559063733011126653854013098980967<43>
482033995058547353903441761612009010156142162892582378273029976923491675472937537519631712699462498836795150900506329776136322380956153031113029694162988163356747366760513819<174>
factorization results 素因数分解の結果
GPU: factor 4509638432559063733011126653854013098980967 found in Step 1 with curve 1587 (-sigma 3:1263750403)
Computing 1792 Step 1 took 924ms of CPU time / 642537ms of GPU time
Throughput: 2.789 curves per second (on average 358.56ms per Step 1)
********** Factor found in step 1: 4509638432559063733011126653854013098980967
Found prime factor of 43 digits: 4509638432559063733011126653854013098980967
Prime cofactor 482033995058547353903441761612009010156142162892582378273029976923491675472937537519631712699462498836795150900506329776136322380956153031113029694162988163356747366760513819 has 174 digits
Peak memory usage: 9430MB

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 08:47:24 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 24 秒 (日本時間)
4511e63584 / 40381792Dmitry DomanovAugust 4, 2022 15:02:43 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 43 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:11:00 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 0 秒 (日本時間)

4×10277+45×10138-49

c269

composite cofactor 合成数の残り
31335024553545542204046278559889023375680770251001474435111840076588314973186729162117016945395313598277922309011779778913916831035321337938898839169260744508088072764414188848816719439078243152088386478146009125367049468800673337034814443745454051728504034498784108609<269>

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 08:47:31 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 31 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:02:51 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 51 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:44:39 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 39 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:53:39 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 39 秒 (日本時間)
1792Dmitry DomanovNovember 28, 2022 22:23:57 UTC 2022 年 11 月 29 日 (火) 7 時 23 分 57 秒 (日本時間)

4×10279+45×10139-49

c228

composite cofactor 合成数の残り
405882210631379713433660998551643012677294479700009575688053693324353236726061854278617290534325032893365930284337702462503710134584953060136869962127480984232413471889743187289903618813475040771583835946826455467320848653203103<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)
403e61792Dmitry DomanovJuly 27, 2022 10:56:01 UTC 2022 年 7 月 27 日 (水) 19 時 56 分 1 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:02:16 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 16 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:11:16 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 16 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 2, 2022 16:14:48 UTC 2022 年 11 月 3 日 (木) 1 時 14 分 48 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:31:35 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 35 秒 (日本時間)

4×10281+45×10140-49

c244

composite cofactor 合成数の残り
3748651479759643717495642330162519894216789525980618879420045085939547360003981747881237979734589257184072991723429844801256989189010947914706618974928730757080811006120671714782858791580501490744886813401733505991420908062157601091159450937777<244>

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 27, 2022 10:56:09 UTC 2022 年 7 月 27 日 (水) 19 時 56 分 9 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 10, 2022 09:02:24 UTC 2022 年 8 月 10 日 (水) 18 時 2 分 24 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:11:24 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 24 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 28, 2022 12:53:58 UTC 2022 年 10 月 28 日 (金) 21 時 53 分 58 秒 (日本時間)
1792Dmitry DomanovDecember 6, 2022 21:45:31 UTC 2022 年 12 月 7 日 (水) 6 時 45 分 31 秒 (日本時間)

4×10285+45×10142-49

c277

composite cofactor 合成数の残り
1470237360985804618630992215720964933305482921051651433603530173989374238794714231456436110556868381953487415002692820589700355378276686947664977330123434674486353428097982316376105200764271134981473237615558873910684047736295898077606282087829324696618027553874227395228853053<277>

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 08:47:39 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 39 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:02:58 UTC 2022 年 8 月 5 日 (金) 0 時 2 分 58 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:44:45 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 45 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:20:43 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 43 秒 (日本時間)
1792Dmitry DomanovNovember 25, 2022 09:37:04 UTC 2022 年 11 月 25 日 (金) 18 時 37 分 4 秒 (日本時間)

4×10287+45×10143-49

c287

composite cofactor 合成数の残り
11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<287>

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 08:47:53 UTC 2022 年 7 月 18 日 (月) 17 時 47 分 53 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:03:06 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 6 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:44:52 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 52 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:20:57 UTC 2022 年 10 月 15 日 (土) 2 時 20 分 57 秒 (日本時間)
1792Dmitry DomanovNovember 28, 2022 22:22:29 UTC 2022 年 11 月 29 日 (火) 7 時 22 分 29 秒 (日本時間)

4×10289+45×10144-49

c280

composite cofactor 合成数の残り
1199336701991643245656750821504893399825457195603124621691350127179109079919749699552873497118809514038270697676036649319905562975977661131561440323920636783187685446485571950630992848855729229572438875207413484134648856545905906293064759110992039044398657583053115838750790886547<280>

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 08:48:00 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 0 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:03:14 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 14 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:44:59 UTC 2022 年 8 月 26 日 (金) 22 時 44 分 59 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:21:04 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 4 秒 (日本時間)
1792Dmitry DomanovNovember 25, 2022 00:11:06 UTC 2022 年 11 月 25 日 (金) 9 時 11 分 6 秒 (日本時間)

4×10293+45×10146-49

c293

composite cofactor 合成数の残り
11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111236111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111<293>

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 08:48:08 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 8 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:03:21 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 21 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:45:06 UTC 2022 年 8 月 26 日 (金) 22 時 45 分 6 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:21:11 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 11 秒 (日本時間)
1792Dmitry DomanovNovember 28, 2022 22:22:18 UTC 2022 年 11 月 29 日 (火) 7 時 22 分 18 秒 (日本時間)

4×10295+45×10147-49

c212

composite cofactor 合成数の残り
23071527528036997056684548029672383604980860072577329370556231945293034997650946907752212407283770580532262291598213093217576724754460241857854328880353609516117527049152434004151604848191694008752527597071373593<212>

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 11:19:44 UTC 2022 年 7 月 29 日 (金) 20 時 19 分 44 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 17, 2022 07:02:12 UTC 2022 年 8 月 17 日 (水) 16 時 2 分 12 秒 (日本時間)
1792Dmitry DomanovSeptember 9, 2022 09:11:33 UTC 2022 年 9 月 9 日 (金) 18 時 11 分 33 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovNovember 10, 2022 21:21:22 UTC 2022 年 11 月 11 日 (金) 6 時 21 分 22 秒 (日本時間)
1792Dmitry DomanovDecember 21, 2022 09:04:14 UTC 2022 年 12 月 21 日 (水) 18 時 4 分 14 秒 (日本時間)

4×10299+45×10149-49

c280

composite cofactor 合成数の残り
6661620986251163845332542800343711965054901006419736687045590389617731708350009824497909209034006620086670486895757047242317268616286782739809475691518091435988068689245798810392644019195030668497618053700044942891807580151995144415581983184835348011900365762466949674153568815541<280>

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 08:48:16 UTC 2022 年 7 月 18 日 (月) 17 時 48 分 16 秒 (日本時間)
4511e635841792Dmitry DomanovAugust 4, 2022 15:03:29 UTC 2022 年 8 月 5 日 (金) 0 時 3 分 29 秒 (日本時間)
1792Dmitry DomanovAugust 26, 2022 13:45:13 UTC 2022 年 8 月 26 日 (金) 22 時 45 分 13 秒 (日本時間)
5043e63584 / 66751792Dmitry DomanovOctober 14, 2022 17:21:20 UTC 2022 年 10 月 15 日 (土) 2 時 21 分 20 秒 (日本時間)
1792Dmitry DomanovNovember 25, 2022 00:10:58 UTC 2022 年 11 月 25 日 (金) 9 時 10 分 58 秒 (日本時間)

4×10301+45×10150-49

c273

name 名前Dmitry Domanov
date 日付November 3, 2022 07:50:07 UTC 2022 年 11 月 3 日 (木) 16 時 50 分 7 秒 (日本時間)
composite number 合成数
763532494573068065418099117662844739321229352672441787542074793045362498179955868074693974110609637870555517895120314139230571025962511769663941588498006461944160528594792379005271657169943067384992479833817506045290346282237654661580814191006363145189742536052624247314713<273>
prime factors 素因数
1821701619877329510215583465084505164577313561<46>
composite cofactor 合成数の残り
419131479185094609101682446463976761486512603057918120703471345091971743940866688275532064712735492268195593382593959812816724133095957481464217357177076726665424018071978974156012390937999327658049001840534296583380554583455233<228>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6a6ea35ef2cf with GMP-ECM 7.0.5-dev on Sun Oct 30 19:19:02 2022 
Input number is 763532494573068065418099117662844739321229352672441787542074793045362498179955868074693974110609637870555517895120314139230571025962511769663941588498006461944160528594792379005271657169943067384992479833817506045290346282237654661580814191006363145189742536052624247314713 (273 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1332068851
Step 1 took 0ms
Step 2 took 101243ms
********** Factor found in step 2: 1821701619877329510215583465084505164577313561
Found prime factor of 46 digits: 1821701619877329510215583465084505164577313561
Composite cofactor 419131479185094609101682446463976761486512603057918120703471345091971743940866688275532064712735492268195593382593959812816724133095957481464217357177076726665424018071978974156012390937999327658049001840534296583380554583455233 has 228 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 DomanovMay 19, 2022 18:54:35 UTC 2022 年 5 月 20 日 (金) 3 時 54 分 35 秒 (日本時間)
4511e63584Dmitry DomanovMay 28, 2022 22:13:59 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 59 秒 (日本時間)
5043e63714 / 6675130Dmitry DomanovMay 28, 2022 22:13:59 UTC 2022 年 5 月 29 日 (日) 7 時 13 分 59 秒 (日本時間)
1792Dmitry DomanovOctober 30, 2022 06:33:03 UTC 2022 年 10 月 30 日 (日) 15 時 33 分 3 秒 (日本時間)
1792Dmitry DomanovDecember 15, 2022 21:31:18 UTC 2022 年 12 月 16 日 (金) 6 時 31 分 18 秒 (日本時間)