Table of contents 目次

25×10141-349

c117

name 名前Eric Jeancolas
date 日付June 2, 2022 11:30:56 UTC 2022 年 6 月 2 日 (木) 20 時 30 分 56 秒 (日本時間)
composite number 合成数
534050008602259220761383787338029289424120070445202832798949090949318415212412335743437188294730082371279025553156957<117>
prime factors 素因数
186105622286206953685828574058854243618283347<45>
2869607065287676931812770183482402511694865642343133431681643848207295631<73>
factorization results 素因数分解の結果
534050008602259220761383787338029289424120070445202832798949090949318415212412335743437188294730082371279025553156957=186105622286206953685828574058854243618283347*2869607065287676931812770183482402511694865642343133431681643848207295631

cado polynomial
n: 534050008602259220761383787338029289424120070445202832798949090949318415212412335743437188294730082371279025553156957
skew: 3.04
type: snfs
c0: -85
c4: 1
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = x^4-85
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1680000
tasks.lim1 = 1680000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2869607065287676931812770183482402511694865642343133431681643848207295631 186105622286206953685828574058854243618283347
Info:Square Root: Total cpu/real time for sqrt: 23.05/19.5759
Info:Filtering - Singleton removal: Total cpu/real time for purge: 43.68/62.729
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6077301
Info:Lattice Sieving: Average J: 1895.28 for 120244 special-q, max bucket fill -bkmult 1.0,1s:1.314070
Info:Lattice Sieving: Total time: 21428s
Info:Linear Algebra: Total cpu/real time for bwc: 614.95/610.54
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 268.37, WCT time 276.38, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5632 iterations)
Info:Linear Algebra: Lingen CPU time 183.04, WCT time 163.24
Info:Linear Algebra: Mksol: CPU time 147.88,  WCT time 155.73, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.16/25.7239
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.07/39.818
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 49.62/74.8269
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.4s
Info:Filtering - Merging: Merged matrix has 178489 rows and total weight 30397831 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.13/33.3484
Info:Filtering - Merging: Total cpu/real time for replay: 5.74/6.61884
Info:Generate Factor Base: Total cpu/real time for makefb: 0.86/1.1695
Info:Quadratic Characters: Total cpu/real time for characters: 5.57/4.90228
Info:Square Root: Total cpu/real time for sqrt: 23.05/19.5759
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19944.4/11841.9
Info:root: Cleaning up computation data in /tmp/cado.dufbd0ck
2869607065287676931812770183482402511694865642343133431681643848207295631 186105622286206953685828574058854243618283347
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10142-349

c142

name 名前Bob Backstrom
date 日付May 29, 2022 18:35:00 UTC 2022 年 5 月 30 日 (月) 3 時 35 分 0 秒 (日本時間)
composite number 合成数
4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<142>
prime factors 素因数
25901748886139676193736549139939577<35>
178738109537730778647999475619451415680634294505807228154123572033540220420413674650611771673254574940968677<108>
factorization results 素因数分解の結果
Number: n
N=4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629  ( 142 digits)
SNFS difficulty: 143 digits.
Divisors found:

Mon May 30 04:30:03 2022  p35 factor: 25901748886139676193736549139939577
Mon May 30 04:30:03 2022  p108 factor: 178738109537730778647999475619451415680634294505807228154123572033540220420413674650611771673254574940968677
Mon May 30 04:30:03 2022  elapsed time 00:02:51 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 25x10^142-34 = 27(141)4
#
n: 4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629
m: 500000000000000000000000000000000000
deg: 4
c4: 2
c0: -17
skew: 1.71
# Murphy_E = 3.902e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved  special-q in [100000, 6450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 596814 hash collisions in 7589789 relations (7811565 unique)
Msieve: matrix is 254535 x 254783 (60.2 MB)

Sieving start time : 2022/05/30 04:02:44
Sieving end time  : 2022/05/30 04:24:07

Total sieving time: 0hrs 21min 23secs.

Total relation processing time: 0hrs 0min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 13sec.

Prototype def-par.txt line would be:
snfs,143,4,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10148-349

c110

name 名前ebina
date 日付May 29, 2022 21:02:04 UTC 2022 年 5 月 30 日 (月) 6 時 2 分 4 秒 (日本時間)
composite number 合成数
12953971357984426220495538623266266248513508140751770454041595726538617062173444102794113337495628480690538687<110>
prime factors 素因数
64871205285876161673730310567827285210037<41>
199687539346594824899876821432802257685553463297749785608658354076451<69>
factorization results 素因数分解の結果
02/21/20 21:34:02 v1.34.5 @ USER, 
02/21/20 21:34:02 v1.34.5 @ USER, ****************************
02/21/20 21:34:02 v1.34.5 @ USER, Starting factorization of 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999864
02/21/20 21:34:02 v1.34.5 @ USER, using pretesting plan: normal
02/21/20 21:34:02 v1.34.5 @ USER, no tune info: using qs/gnfs crossover of 95 digits
02/21/20 21:34:02 v1.34.5 @ USER, ****************************
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 2
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 2
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 2
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 3
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 3
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 3
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 3
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 3
02/21/20 21:34:02 v1.34.5 @ USER, div: found prime factor = 191
02/21/20 21:34:02 v1.34.5 @ USER, rho: x^2 + 3, starting 1000 iterations on C145
02/21/20 21:34:02 v1.34.5 @ USER, rho: x^2 + 2, starting 1000 iterations on C145
02/21/20 21:34:02 v1.34.5 @ USER, rho: x^2 + 1, starting 1000 iterations on C145
02/21/20 21:34:02 v1.34.5 @ USER, pm1: starting B1 = 150K, B2 = gmp-ecm default on C145
02/21/20 21:34:02 v1.34.5 @ USER, prp9 = 417229537
02/21/20 21:34:02 v1.34.5 @ USER, current ECM pretesting depth: 0.00
02/21/20 21:34:02 v1.34.5 @ USER, scheduled 30 curves at B1=2000 toward target pretesting depth of 41.85
02/21/20 21:34:02 v1.34.5 @ USER, Finished 30 curves using Lenstra ECM method on C136 input, B1=2K, B2=gmp-ecm default
02/21/20 21:34:02 v1.34.5 @ USER, current ECM pretesting depth: 15.18
02/21/20 21:34:02 v1.34.5 @ USER, scheduled 74 curves at B1=11000 toward target pretesting depth of 41.85
02/21/20 21:34:06 v1.34.5 @ USER, Finished 74 curves using Lenstra ECM method on C136 input, B1=11K, B2=gmp-ecm default
02/21/20 21:34:06 v1.34.5 @ USER, current ECM pretesting depth: 20.24
02/21/20 21:34:06 v1.34.5 @ USER, scheduled 214 curves at B1=50000 toward target pretesting depth of 41.85
02/21/20 21:34:30 v1.34.5 @ USER, Finished 214 curves using Lenstra ECM method on C136 input, B1=50K, B2=gmp-ecm default
02/21/20 21:34:30 v1.34.5 @ USER, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C136
02/21/20 21:34:31 v1.34.5 @ USER, current ECM pretesting depth: 25.33
02/21/20 21:34:31 v1.34.5 @ USER, scheduled 430 curves at B1=250000 toward target pretesting depth of 41.85
02/21/20 21:34:53 v1.34.5 @ USER, prp27 = 498301728641935046079879989 (curve 42 stg2 B1=250000 sigma=1468336714 thread=0)
02/21/20 21:34:53 v1.34.5 @ USER, Finished 42 curves using Lenstra ECM method on C136 input, B1=250K, B2=gmp-ecm default
02/21/20 21:34:53 v1.34.5 @ USER, current ECM pretesting depth: 25.82
02/21/20 21:34:53 v1.34.5 @ USER, scheduled 388 curves at B1=250000 toward target pretesting depth of 33.85
02/21/20 21:37:11 v1.34.5 @ USER, Finished 388 curves using Lenstra ECM method on C110 input, B1=250K, B2=gmp-ecm default
02/21/20 21:37:11 v1.34.5 @ USER, pm1: starting B1 = 15M, B2 = gmp-ecm default on C110
02/21/20 21:37:15 v1.34.5 @ USER, current ECM pretesting depth: 30.45
02/21/20 21:37:15 v1.34.5 @ USER, scheduled 614 curves at B1=1000000 toward target pretesting depth of 33.85
02/21/20 21:52:15 v1.34.5 @ USER, Finished 614 curves using Lenstra ECM method on C110 input, B1=1M, B2=gmp-ecm default
02/21/20 21:52:15 v1.34.5 @ USER, final ECM pretested depth: 33.85
02/21/20 21:52:15 v1.34.5 @ USER, scheduler: switching to sieve method
02/21/20 21:52:15 v1.34.5 @ USER, nfs: commencing nfs on c110: 12953971357984426220495538623266266248513508140751770454041595726538617062173444102794113337495628480690538687
02/21/20 21:52:15 v1.34.5 @ USER, nfs: input divides 10^150 - 136
02/21/20 21:52:15 v1.34.5 @ USER, nfs: using supplied cofactor: 12953971357984426220495538623266266248513508140751770454041595726538617062173444102794113337495628480690538687
02/21/20 21:52:15 v1.34.5 @ USER, nfs: commencing snfs on c110: 12953971357984426220495538623266266248513508140751770454041595726538617062173444102794113337495628480690538687
02/21/20 21:52:16 v1.34.5 @ USER, nfs: input snfs form is better done by gnfs: difficulty = 150.00, size = 114
02/21/20 21:52:16 v1.34.5 @ USER, nfs: commencing poly selection with 8 threads
02/21/20 21:52:16 v1.34.5 @ USER, nfs: setting deadline of 423 seconds
02/21/20 21:59:33 v1.34.5 @ USER, nfs: completed 185 ranges of size 250 in 437.0379 seconds
02/21/20 21:59:33 v1.34.5 @ USER, nfs: best poly = # norm 2.184727e-010 alpha -5.316808 e 1.075e-009 rroots 3
02/21/20 21:59:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:02:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:06:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:09:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:12:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:15:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:19:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:22:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:26:04 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:29:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:32:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:36:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:39:25 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:42:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:46:32 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:50:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
02/21/20 22:53:28 v1.34.5 @ USER, nfs: commencing msieve filtering
02/21/20 22:55:24 v1.34.5 @ USER, nfs: commencing msieve linear algebra
02/21/20 22:58:02 v1.34.5 @ USER, nfs: commencing msieve sqrt
02/21/20 22:58:37 v1.34.5 @ USER, prp41 = 64871205285876161673730310567827285210037
02/21/20 22:58:37 v1.34.5 @ USER, prp69 = 199687539346594824899876821432802257685553463297749785608658354076451
02/21/20 22:58:37 v1.34.5 @ USER, NFS elapsed time = 3981.5679 seconds.
02/21/20 22:58:37 v1.34.5 @ USER, 
02/21/20 22:58:37 v1.34.5 @ USER, 
02/21/20 22:58:37 v1.34.5 @ USER, Total factoring time = 5075.2815 seconds

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10150-349

c122

name 名前Eric Jeancolas
date 日付June 3, 2022 15:57:25 UTC 2022 年 6 月 4 日 (土) 0 時 57 分 25 秒 (日本時間)
composite number 合成数
55547853144141217663889103901855190903901574168030677184548745377114029961470366912236389100256605704136782258134108856427<122>
prime factors 素因数
136724238595165726405448348268058231<36>
406276558676738315393225197227392478094681665542154205523877578617923295969949532921517<87>
factorization results 素因数分解の結果
55547853144141217663889103901855190903901574168030677184548745377114029961470366912236389100256605704136782258134108856427=13672423859516572640544834826805823*406276558676738315393225197227392478094681665542154205523877578617923295969949532921517

cado polynomial
n: 55547853144141217663889103901855190903901574168030677184548745377114029961470366912236389100256605704136782258134108856427
skew: 1.71
type: snfs
c0: -17
c4: 2
Y0: 50000000000000000000000000000000000000
Y1: -1
# f(x) = 2*x^4-17
# g(x) = -x+50000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 136724238595165726405448348268058231 406276558676738315393225197227392478094681665542154205523877578617923295969949532921517
Info:Square Root: Total cpu/real time for sqrt: 36.31/28.286
Info:Quadratic Characters: Total cpu/real time for characters: 8.14/6.79704
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 101.38/149.395
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 138.1s
Info:Square Root: Total cpu/real time for sqrt: 36.31/28.286
Info:Linear Algebra: Total cpu/real time for bwc: 1295.42/1124.87
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 613.48, WCT time 518.42, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8192 iterations)
Info:Linear Algebra: Lingen CPU time 326.2, WCT time 278.16
Info:Linear Algebra: Mksol: CPU time 331.03,  WCT time 306.55, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 94.97/135.411
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11623076
Info:Lattice Sieving: Average J: 1896.52 for 305606 special-q, max bucket fill -bkmult 1.0,1s:1.348880
Info:Lattice Sieving: Total time: 60910.9s
Info:Generate Free Relations: Total cpu/real time for freerel: 72.11/47.3525
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.49/80.0197
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 79.9s
Info:Filtering - Merging: Merged matrix has 258983 rows and total weight 44133315 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 56.73/43.2548
Info:Filtering - Merging: Total cpu/real time for replay: 8.8/9.70552
Info:Generate Factor Base: Total cpu/real time for makefb: 1.16/1.48197
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 58403.1/32334.2
Info:root: Cleaning up computation data in /tmp/cado.xxqotm4s
136724238595165726405448348268058231 406276558676738315393225197227392478094681665542154205523877578617923295969949532921517
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10152-349

c120

name 名前Eric Jeancolas
date 日付June 4, 2022 02:43:59 UTC 2022 年 6 月 4 日 (土) 11 時 43 分 59 秒 (日本時間)
composite number 合成数
371070372197223311876290808505067883141140042015105600091054393372008349073880002821040537681728361307806583513509422699<120>
prime factors 素因数
18233942609411189158132534671429027728450447<44>
20350528689593474803991299192140514890859498087977708402357285040272364073317<77>
factorization results 素因数分解の結果
371070372197223311876290808505067883141140042015105600091054393372008349073880002821040537681728361307806583513509422699=18233942609411189158132534671429027728450447*20350528689593474803991299192140514890859498087977708402357285040272364073317

cado polynomial
n: 371070372197223311876290808505067883141140042015105600091054393372008349073880002821040537681728361307806583513509422699
skew: 2.12
type: snfs
c0: -85
c5: 2
Y0: 5000000000000000000000000000000
Y1: -1
# f(x) = 2*x^5-85
# g(x) = -x+5000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2600000
tasks.lim1 = 2600000
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: 18233942609411189158132534671429027728450447 20350528689593474803991299192140514890859498087977708402357285040272364073317
Info:Square Root: Total cpu/real time for sqrt: 41.12/58.6456
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.09/220.33
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 206.6s
Info:Square Root: Total cpu/real time for sqrt: 41.12/58.6456
Info:Filtering - Singleton removal: Total cpu/real time for purge: 97.32/190.083
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11678611
Info:Lattice Sieving: Average J: 1894 for 159405 special-q, max bucket fill -bkmult 1.0,1s:1.246420
Info:Lattice Sieving: Total time: 39729.2s
Info:Linear Algebra: Total cpu/real time for bwc: 6206.35/8762.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 609.3, WCT time 927.57, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8192 iterations)
Info:Linear Algebra: Lingen CPU time 5240.97, WCT time 7298.63
Info:Linear Algebra: Mksol: CPU time 330.87,  WCT time 500.89, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4096 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 60.26/40.5912
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.93/86.1129
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.9s
Info:Filtering - Merging: Merged matrix has 259821 rows and total weight 44250979 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 58.14/79.8687
Info:Filtering - Merging: Total cpu/real time for replay: 8.87/12.5415
Info:Generate Factor Base: Total cpu/real time for makefb: 1.14/1.45554
Info:Quadratic Characters: Total cpu/real time for characters: 8.4/11.4096
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43035.5/29541.4
Info:root: Cleaning up computation data in /tmp/cado.wpdou01y
18233942609411189158132534671429027728450447 20350528689593474803991299192140514890859498087977708402357285040272364073317
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10154-349

c152

name 名前ebina
date 日付May 29, 2022 20:33:09 UTC 2022 年 5 月 30 日 (月) 5 時 33 分 9 秒 (日本時間)
composite number 合成数
33792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917<152>
prime factors 素因数
689517337407365911439439802602048880373110258578725390405087<60>
49009524737491882671432932044027705375526064811235327360964303238827808040382747007029390091<92>
factorization results 素因数分解の結果
04/10/17 00:01:24 v1.34.5 @ , 
04/10/17 00:01:24 v1.34.5 @ , ****************************
04/10/17 00:01:24 v1.34.5 @ , Starting factorization of 999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999864
04/10/17 00:01:24 v1.34.5 @ , using pretesting plan: light
04/10/17 00:01:24 v1.34.5 @ , no tune info: using qs/gnfs crossover of 95 digits
04/10/17 00:01:24 v1.34.5 @ , ****************************
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 2
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 2
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 2
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 3
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 3
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 3
04/10/17 00:01:24 v1.34.5 @ , div: found prime factor = 137
04/10/17 00:01:24 v1.34.5 @ , rho: x^2 + 3, starting 1000 iterations on C152
04/10/17 00:01:24 v1.34.5 @ , rho: x^2 + 2, starting 1000 iterations on C152
04/10/17 00:01:24 v1.34.5 @ , rho: x^2 + 1, starting 1000 iterations on C152
04/10/17 00:01:24 v1.34.5 @ , pm1: starting B1 = 150K, B2 = gmp-ecm default on C152
04/10/17 00:01:24 v1.34.5 @ , current ECM pretesting depth: 0.00
04/10/17 00:01:24 v1.34.5 @ , scheduled 30 curves at B1=2000 toward target pretesting depth of 33.78
04/10/17 00:01:24 v1.34.5 @ , Finished 30 curves using Lenstra ECM method on C152 input, B1=2K, B2=gmp-ecm default
04/10/17 00:01:24 v1.34.5 @ , current ECM pretesting depth: 15.18
04/10/17 00:01:24 v1.34.5 @ , scheduled 74 curves at B1=11000 toward target pretesting depth of 33.78
04/10/17 00:01:28 v1.34.5 @ , Finished 74 curves using Lenstra ECM method on C152 input, B1=11K, B2=gmp-ecm default
04/10/17 00:01:28 v1.34.5 @ , current ECM pretesting depth: 20.24
04/10/17 00:01:28 v1.34.5 @ , scheduled 214 curves at B1=50000 toward target pretesting depth of 33.78
04/10/17 00:02:14 v1.34.5 @ , Finished 214 curves using Lenstra ECM method on C152 input, B1=50K, B2=gmp-ecm default
04/10/17 00:02:14 v1.34.5 @ , pm1: starting B1 = 3750K, B2 = gmp-ecm default on C152
04/10/17 00:02:16 v1.34.5 @ , current ECM pretesting depth: 25.33
04/10/17 00:02:16 v1.34.5 @ , scheduled 430 curves at B1=250000 toward target pretesting depth of 33.78
04/10/17 00:09:03 v1.34.5 @ , Finished 430 curves using Lenstra ECM method on C152 input, B1=250K, B2=gmp-ecm default
04/10/17 00:09:03 v1.34.5 @ , pm1: starting B1 = 15M, B2 = gmp-ecm default on C152
04/10/17 00:09:11 v1.34.5 @ , current ECM pretesting depth: 30.45
04/10/17 00:09:11 v1.34.5 @ , scheduled 602 curves at B1=1000000 toward target pretesting depth of 33.78
04/10/17 00:48:35 v1.34.5 @ , Finished 602 curves using Lenstra ECM method on C152 input, B1=1M, B2=gmp-ecm default
04/10/17 00:48:35 v1.34.5 @ , final ECM pretested depth: 33.78
04/10/17 00:48:35 v1.34.5 @ , scheduler: switching to sieve method
04/10/17 00:48:35 v1.34.5 @ , nfs: commencing nfs on c152: 33792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917
04/10/17 00:48:35 v1.34.5 @ , nfs: input divides 10^156 - 136
04/10/17 00:48:35 v1.34.5 @ , nfs: using supplied cofactor: 33792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917
04/10/17 00:48:35 v1.34.5 @ , nfs: commencing snfs on c152: 33792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917004595836712625033792917
04/10/17 00:48:35 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 01:11:38 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 01:34:53 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 01:58:14 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 02:21:43 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 02:45:06 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 03:08:21 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 03:31:50 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 03:55:06 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 04:18:42 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 04:42:36 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 05:05:54 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 05:29:20 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 05:52:44 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 06:16:15 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 06:39:34 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 07:03:24 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 07:27:04 v1.34.5 @ , nfs: commencing lattice sieving with 1 threads
04/10/17 07:51:35 v1.34.5 @ , nfs: commencing msieve filtering
04/10/17 07:55:02 v1.34.5 @ , nfs: commencing msieve linear algebra
04/10/17 08:54:59 v1.34.5 @ , nfs: commencing msieve sqrt
04/10/17 08:57:26 v1.34.5 @ , prp92 = 49009524737491882671432932044027705375526064811235327360964303238827808040382747007029390091
04/10/17 08:57:26 v1.34.5 @ , prp60 = 689517337407365911439439802602048880373110258578725390405087
04/10/17 08:57:26 v1.34.5 @ , NFS elapsed time = 29331.2616 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10155-349

c110

name 名前Eric Jeancolas
date 日付May 31, 2022 18:15:39 UTC 2022 年 6 月 1 日 (水) 3 時 15 分 39 秒 (日本時間)
composite number 合成数
27975132205402660583647423804433582888716702375760493853171263838575762373344618358114638270691369672189591811<110>
prime factors 素因数
104905766140196935152118721180108564613590155399957<51>
266669156850887129441039733769417517889020018394496873130423<60>
factorization results 素因数分解の結果
27975132205402660583647423804433582888716702375760493853171263838575762373344618358114638270691369672189591811=104905766140196935152118721180108564613590155399957*266669156850887129441039733769417517889020018394496873130423

cado polynomial
n: 27975132205402660583647423804433582888716702375760493853171263838575762373344618358114638270691369672189591811
skew: 6750.065
c0: -34171585156580666545080
c1: -1316190695656650114973
c2: 23713071028067610
c3: 40797987806803
c4: -2631511500
c5: -158400
Y0: -1584747072168363785980
Y1: 6103098064600879
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.711e-06
# f(x) = -158400*x^5-2631511500*x^4+40797987806803*x^3+23713071028067610*x^2-1316190695656650114973*x-34171585156580666545080
# g(x) = 6103098064600879*x-1584747072168363785980

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 104905766140196935152118721180108564613590155399957 266669156850887129441039733769417517889020018394496873130423
Info:Square Root: Total cpu/real time for sqrt: 87.97/67.1676
Info:Generate Free Relations: Total cpu/real time for freerel: 62.72/49.2816
Info:Filtering - Singleton removal: Total cpu/real time for purge: 63.75/103.453
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5122711
Info:Lattice Sieving: Average J: 1895.24 for 78379 special-q, max bucket fill -bkmult 1.0,1s:1.273600
Info:Lattice Sieving: Total time: 15752.5s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.33/2.23025
Info:Linear Algebra: Total cpu/real time for bwc: 1205.97/1172.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 588.52, WCT time 583.82, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (8960 iterations)
Info:Linear Algebra: Lingen CPU time 268.5, WCT time 238.87
Info:Linear Algebra: Mksol: CPU time 325.54,  WCT time 328.75, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4480 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.09/38.491
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 235.32
Info:Polynomial Selection (root optimized): Rootsieve time: 234.33
Info:Filtering - Merging: Merged matrix has 282572 rows and total weight 44039015 (155.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 45.44/36.5048
Info:Filtering - Merging: Total cpu/real time for replay: 10.17/11.3788
Info:Quadratic Characters: Total cpu/real time for characters: 10.58/8.81216
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11887/31.760/38.847/46.370/1.082
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9207/30.500/34.433/39.330/0.878
Info:Polynomial Selection (size optimized): Total time: 698.35
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 85.28/141.14
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 107.10000000000001s
Info:Square Root: Total cpu/real time for sqrt: 87.97/67.1676
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 16487.3/9732.67
Info:root: Cleaning up computation data in /tmp/cado.1w1hal3i
104905766140196935152118721180108564613590155399957 266669156850887129441039733769417517889020018394496873130423
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10156-349

c157

name 名前Bob Backstrom
date 日付May 30, 2022 17:24:12 UTC 2022 年 5 月 31 日 (火) 2 時 24 分 12 秒 (日本時間)
composite number 合成数
1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<157>
prime factors 素因数
2805558370999870939301089194345034341088457112776212596093637561<64>
495049008156584449213684415196690452415725221930834132932283233853877894433210488518520064367<93>
factorization results 素因数分解の結果
Number: n
N=1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887  ( 157 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 31 03:20:47 2022  p64 factor: 2805558370999870939301089194345034341088457112776212596093637561
Tue May 31 03:20:47 2022  p93 factor: 495049008156584449213684415196690452415725221930834132932283233853877894433210488518520064367
Tue May 31 03:20:47 2022  elapsed time 00:05:59 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.338).
Factorization parameters were as follows:
#
# N = 25x10^156-34 = 27(155)4
#
n: 1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 10000000000000000000000000000000
deg: 5
c5: 125
c0: -17
skew: 0.67
# Murphy_E = 7.754e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1926511 hash collisions in 16418446 relations (15501623 unique)
Msieve: matrix is 387735 x 387983 (103.8 MB)

Sieving start time : 2022/05/31 03:01:56
Sieving end time  : 2022/05/31 03:14:28

Total sieving time: 0hrs 12min 32secs.

Total relation processing time: 0hrs 1min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 18sec.

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10158-349

c148

name 名前Bob Backstrom
date 日付June 1, 2022 10:02:25 UTC 2022 年 6 月 1 日 (水) 19 時 2 分 25 秒 (日本時間)
composite number 合成数
7268467299085578144699476976292395140260541595580756293910260177128405750127921318999277101518972626989383640605543027258115883703261943666821641141<148>
prime factors 素因数
1082842433750487491139855383715402467<37>
6712396072169817579507184797215353322962676577309789671074463954071034919111918617459181430916531405914760473223<112>
factorization results 素因数分解の結果
Number: n
N=7268467299085578144699476976292395140260541595580756293910260177128405750127921318999277101518972626989383640605543027258115883703261943666821641141  ( 148 digits)
SNFS difficulty: 159 digits.
Divisors found:

Wed Jun  1 19:58:59 2022  p37 factor: 1082842433750487491139855383715402467
Wed Jun  1 19:58:59 2022  p112 factor: 6712396072169817579507184797215353322962676577309789671074463954071034919111918617459181430916531405914760473223
Wed Jun  1 19:58:59 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.342).
Factorization parameters were as follows:
#
# N = 25x10^158-34 = 27(157)4
#
n: 7268467299085578144699476976292395140260541595580756293910260177128405750127921318999277101518972626989383640605543027258115883703261943666821641141
m: 50000000000000000000000000000000
deg: 5
c5: 4
c0: -17
skew: 1.34
# Murphy_E = 7.389e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1059998 hash collisions in 12441799 relations (12182306 unique)
Msieve: matrix is 439173 x 439402 (147.7 MB)

Sieving start time : 2022/06/01 19:13:14
Sieving end time  : 2022/06/01 19:52:19

Total sieving time: 0hrs 39min 5secs.

Total relation processing time: 0hrs 2min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10159-349

c111

name 名前Eric Jeancolas
date 日付May 30, 2022 16:20:01 UTC 2022 年 5 月 31 日 (火) 1 時 20 分 1 秒 (日本時間)
composite number 合成数
247023135053597629777613907368400549133751713870442117749350029978678541228396721295098425475820266699936562951<111>
prime factors 素因数
507420155331643232274904355702142160390421527429<48>
486821685063232288440982454055136715393910809122975600755464219<63>
factorization results 素因数分解の結果
247023135053597629777613907368400549133751713870442117749350029978678541228396721295098425475820266699936562951=507420155331643232274904355702142160390421527429*486821685063232288440982454055136715393910809122975600755464219

cado polynomial
n: 247023135053597629777613907368400549133751713870442117749350029978678541228396721295098425475820266699936562951
skew: 7241.702
c0: 746958657083607929579550
c1: -2858849157745768779095
c2: -534876077923076550
c3: 58696337521199
c4: -4559891712
c5: 221760
Y0: -1789381090767430116586
Y1: 28552728593861771
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.506e-06
# f(x) = 221760*x^5-4559891712*x^4+58696337521199*x^3-534876077923076550*x^2-2858849157745768779095*x+746958657083607929579550
# g(x) = 28552728593861771*x-1789381090767430116586

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

cado log (extracts)
Info:Square Root: Factors: 486821685063232288440982454055136715393910809122975600755464219 507420155331643232274904355702142160390421527429
Info:Square Root: Total cpu/real time for sqrt: 88.9/68.5854
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.34/117.438
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5369034
Info:Lattice Sieving: Average J: 1898.04 for 98063 special-q, max bucket fill -bkmult 1.0,1s:1.280080
Info:Lattice Sieving: Total time: 19080.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.35/1.89432
Info:Linear Algebra: Total cpu/real time for bwc: 1366.05/1329.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 678.52, WCT time 664.23, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9344 iterations)
Info:Linear Algebra: Lingen CPU time 280.94, WCT time 250.22
Info:Linear Algebra: Mksol: CPU time 381.61,  WCT time 391.94, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.29/49.4168
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.26/39.1742
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 261.61
Info:Polynomial Selection (root optimized): Rootsieve time: 260.59
Info:Filtering - Merging: Merged matrix has 295300 rows and total weight 45884463 (155.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.76/38.1406
Info:Filtering - Merging: Total cpu/real time for replay: 10.64/11.7741
Info:Quadratic Characters: Total cpu/real time for characters: 11.07/10.4663
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11857/31.970/39.276/45.460/1.106
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9366/31.380/34.762/39.620/0.899
Info:Polynomial Selection (size optimized): Total time: 709.77
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 95.03/156.463
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 118.59999999999998s
Info:Square Root: Total cpu/real time for sqrt: 88.9/68.5854
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19677.2/11729
Info:root: Cleaning up computation data in /tmp/cado.wgqakkt7
486821685063232288440982454055136715393910809122975600755464219 507420155331643232274904355702142160390421527429
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10160-349

c114

name 名前Eric Jeancolas
date 日付May 31, 2022 21:17:26 UTC 2022 年 6 月 1 日 (水) 6 時 17 分 26 秒 (日本時間)
composite number 合成数
897720461017807954355911730603520325869483982809521183464997527660278408558524679135331100399996338807923776767301<114>
prime factors 素因数
12322103839253131177361946499881322243558584523440570223<56>
72854479456506567928054487718369826809672838388315720117387<59>
factorization results 素因数分解の結果
897720461017807954355911730603520325869483982809521183464997527660278408558524679135331100399996338807923776767301=12322103839253131177361946499881322243558584523440570223*72854479456506567928054487718369826809672838388315720117387

cado polynomial
n: 897720461017807954355911730603520325869483982809521183464997527660278408558524679135331100399996338807923776767301
skew: 21846.857
c0: 51604961848507049419900926
c1: -21256266326733687202235
c2: -1764524841204782682
c3: 64153218809219
c4: 651184260
c5: 21600
Y0: -16400792547726145891296
Y1: 24213164322543029
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.200e-06
# f(x) = 21600*x^5+651184260*x^4+64153218809219*x^3-1764524841204782682*x^2-21256266326733687202235*x+51604961848507049419900926
# g(x) = 24213164322543029*x-16400792547726145891296

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

cado log (extracts)
Info:Square Root: Factors: 72854479456506567928054487718369826809672838388315720117387 12322103839253131177361946499881322243558584523440570223
Info:Square Root: Total cpu/real time for sqrt: 242.27/104.331
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.14/123.68
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6766849
Info:Lattice Sieving: Average J: 1889.19 for 114429 special-q, max bucket fill -bkmult 1.0,1s:1.256570
Info:Lattice Sieving: Total time: 27125.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.21/3.88254
Info:Linear Algebra: Total cpu/real time for bwc: 2738.42/2518.58
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1418.66, WCT time 1318.48, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (13184 iterations)
Info:Linear Algebra: Lingen CPU time 495.98, WCT time 445.96
Info:Linear Algebra: Mksol: CPU time 787.21,  WCT time 721.26, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (6656 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 63.87/50.0434
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.41/51.0315
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.800000000000004s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 302.76
Info:Polynomial Selection (root optimized): Rootsieve time: 301.64
Info:Filtering - Merging: Merged matrix has 420258 rows and total weight 65573740 (156.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 70.57/55.1226
Info:Filtering - Merging: Total cpu/real time for replay: 15.91/17.8286
Info:Quadratic Characters: Total cpu/real time for characters: 15.68/7.72424
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21805/32.620/40.612/46.130/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16954/30.920/35.934/41.060/0.809
Info:Polynomial Selection (size optimized): Total time: 1793.39
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 111.11/177.417
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 145.9s
Info:Square Root: Total cpu/real time for sqrt: 242.27/104.331
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 29998.2/17390.3
Info:root: Cleaning up computation data in /tmp/cado._iymnho0
72854479456506567928054487718369826809672838388315720117387 12322103839253131177361946499881322243558584523440570223
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10162-349

c138

name 名前Bob Backstrom
date 日付June 1, 2022 20:02:04 UTC 2022 年 6 月 2 日 (木) 5 時 2 分 4 秒 (日本時間)
composite number 合成数
301510271765967396283361827797917523555736914550970777167922749440406119892038799563089614950655954511235217503053043399075188082529357139<138>
prime factors 素因数
27115945788339276665546069788806839<35>
11119297630976473246661656025003582904940306683975206389375135345469727286032808706412505126138960517701<104>
factorization results 素因数分解の結果
Number: n
N=301510271765967396283361827797917523555736914550970777167922749440406119892038799563089614950655954511235217503053043399075188082529357139  ( 138 digits)
SNFS difficulty: 163 digits.
Divisors found:

Thu Jun  2 05:56:31 2022  p35 factor: 27115945788339276665546069788806839
Thu Jun  2 05:56:31 2022  p104 factor: 11119297630976473246661656025003582904940306683975206389375135345469727286032808706412505126138960517701
Thu Jun  2 05:56:31 2022  elapsed time 00:07:32 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 25x10^162-34 = 27(161)4
#
n: 301510271765967396283361827797917523555736914550970777167922749440406119892038799563089614950655954511235217503053043399075188082529357139
m: 500000000000000000000000000000000
deg: 5
c5: 2
c0: -85
skew: 2.12
# Murphy_E = 4.718e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1135215 hash collisions in 12847177 relations (12538924 unique)
Msieve: matrix is 517955 x 518180 (177.4 MB)

Sieving start time : 2022/06/02 05:03:31
Sieving end time  : 2022/06/02 05:48:45

Total sieving time: 0hrs 45min 14secs.

Total relation processing time: 0hrs 3min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 49sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10166-349

c144

name 名前Bob Backstrom
date 日付June 8, 2022 00:20:20 UTC 2022 年 6 月 8 日 (水) 9 時 20 分 20 秒 (日本時間)
composite number 合成数
626144398015394738861606161274645039831014965650454828024275536059930752749223274007661551304848977709801564675947111425566704839371828461563101<144>
prime factors 素因数
1780556325999119588600641221587406562915327309171<49>
351656608034597127003765261605793452868177917408227638156758250337776389522750171482983638302831<96>
factorization results 素因数分解の結果
Number: n
N=626144398015394738861606161274645039831014965650454828024275536059930752749223274007661551304848977709801564675947111425566704839371828461563101  ( 144 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Jun  8 10:13:47 2022  p49 factor: 1780556325999119588600641221587406562915327309171
Wed Jun  8 10:13:47 2022  p96 factor: 351656608034597127003765261605793452868177917408227638156758250337776389522750171482983638302831
Wed Jun  8 10:13:47 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 25x10^166-34 = 27(165)4
#
n: 626144398015394738861606161274645039831014965650454828024275536059930752749223274007661551304848977709801564675947111425566704839371828461563101
m: 1000000000000000000000000000000000
deg: 5
c5: 125
c0: -17
skew: 0.67
# Murphy_E = 3.165e-10
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1392355 hash collisions in 12805069 relations (12171647 unique)
Msieve: matrix is 558704 x 558932 (193.5 MB)

Sieving start time : 2022/06/08 09:31:06
Sieving end time  : 2022/06/08 10:04:12

Total sieving time: 0hrs 33min 6secs.

Total relation processing time: 0hrs 4min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 12:35:10 UTC 2022 年 6 月 7 日 (火) 21 時 35 分 10 秒 (日本時間)

25×10167-349

c120

name 名前Eric Jeancolas
date 日付June 2, 2022 18:35:18 UTC 2022 年 6 月 3 日 (金) 3 時 35 分 18 秒 (日本時間)
composite number 合成数
711794923676950375988518488782845042031598654251354364606654853212650485466172810287934501863767768106329533326868188237<120>
prime factors 素因数
27128195918152185681066443923307439072388283<44>
26238196075569837981321342241377839533346591643947234065056150162675360204439<77>
factorization results 素因数分解の結果
711794923676950375988518488782845042031598654251354364606654853212650485466172810287934501863767768106329533326868188237=27128195918152185681066443923307439072388283*26238196075569837981321342241377839533346591643947234065056150162675360204439

cado polynomial
n: 711794923676950375988518488782845042031598654251354364606654853212650485466172810287934501863767768106329533326868188237
skew: 32465.975
c0: -10543372080235580849601535080
c1: 544692527582023649972539
c2: 27525920533386656070
c3: -323738803715299
c4: -987450630
c5: 351000
Y0: -143702020566855913264010
Y1: 248832915435872981
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.513e-06
# f(x) = 351000*x^5-987450630*x^4-323738803715299*x^3+27525920533386656070*x^2+544692527582023649972539*x-10543372080235580849601535080
# g(x) = 248832915435872981*x-143702020566855913264010

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 27128195918152185681066443923307439072388283 26238196075569837981321342241377839533346591643947234065056150162675360204439
Info:Square Root: Total cpu/real time for sqrt: 191.27/119.121
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.77/224.076
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 212.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.72/82.4938
Info:Linear Algebra: Total cpu/real time for bwc: 4558.26/3603.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 2488.5, WCT time 1962.36, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (20992 iterations)
Info:Linear Algebra: Lingen CPU time 562.65, WCT time 424.91
Info:Linear Algebra: Mksol: CPU time 1443.88,  WCT time 1164.17, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (10496 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13433379
Info:Lattice Sieving: Average J: 1899.3 for 242533 special-q, max bucket fill -bkmult 1.0,1s:1.250170
Info:Lattice Sieving: Total time: 58520.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.17/3.93969
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1943.77
Info:Polynomial Selection (root optimized): Rootsieve time: 1941.26
Info:Generate Free Relations: Total cpu/real time for freerel: 129.44/83.976
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 57.3/96.1007
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 95.9s
Info:Filtering - Merging: Merged matrix has 668404 rows and total weight 67224076 (100.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 46.98/19.7868
Info:Filtering - Merging: Total cpu/real time for replay: 17.91/15.1371
Info:Quadratic Characters: Total cpu/real time for characters: 20.93/10.7596
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20279/36.270/42.827/47.830/1.027
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16148/34.530/37.922/43.330/0.845
Info:Polynomial Selection (size optimized): Total time: 2289.57
Info:Square Root: Total cpu/real time for sqrt: 191.27/119.121
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 65270.6/35820.2
Info:root: Cleaning up computation data in /tmp/cado.cb1wucim
27128195918152185681066443923307439072388283 26238196075569837981321342241377839533346591643947234065056150162675360204439
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10168-349

c158

name 名前Bob Backstrom
date 日付June 4, 2022 17:32:55 UTC 2022 年 6 月 5 日 (日) 2 時 32 分 55 秒 (日本時間)
composite number 合成数
35089926878975859496307588512491025332683144038388743121777322231790707143000323133084066236401097268080413572793859741766382417817801317833665287658678107649<158>
prime factors 素因数
29167981934359706750507932677563979800715787502416211<53>
1203028956817891378617297135343599561267700259470917745618916161683373524107337952345706847466355871319259<106>
factorization results 素因数分解の結果
Number: n
N=35089926878975859496307588512491025332683144038388743121777322231790707143000323133084066236401097268080413572793859741766382417817801317833665287658678107649  ( 158 digits)
SNFS difficulty: 169 digits.
Divisors found:

Sat Jun  4 23:59:30 2022  p53 factor: 29167981934359706750507932677563979800715787502416211
Sat Jun  4 23:59:30 2022  p106 factor: 1203028956817891378617297135343599561267700259470917745618916161683373524107337952345706847466355871319259
Sat Jun  4 23:59:30 2022  elapsed time 00:11:24 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 25x10^168-34 = 27(167)4
#
n: 35089926878975859496307588512491025332683144038388743121777322231790707143000323133084066236401097268080413572793859741766382417817801317833665287658678107649
m: 5000000000000000000000000000000000
deg: 5
c5: 4
c0: -17
skew: 1.34
# Murphy_E = 3e-10
type: snfs
lss: 1
rlim: 4600000
alim: 4600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4600000/4600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1140226 hash collisions in 11950526 relations (11551488 unique)
Msieve: matrix is 662422 x 662649 (230.0 MB)

Sieving start time : 2022/06/04 22:37:40
Sieving end time  : 2022/06/04 23:47:27

Total sieving time: 1hrs 9min 47secs.

Total relation processing time: 0hrs 6min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,169,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10170-349

c147

name 名前Bob Backstrom
date 日付June 8, 2022 17:00:52 UTC 2022 年 6 月 9 日 (木) 2 時 0 分 52 秒 (日本時間)
composite number 合成数
194698379220050319760737281965359584571654498961269342304668945802129420545079392996117434366060757464376112613579474178249310948771677210190330159<147>
prime factors 素因数
4271851615660912231456002530629758904561937486013705098873<58>
45577046381075643315351170940344148016882076102190644668191444814935979449994976151306983<89>
factorization results 素因数分解の結果
Number: n
N=194698379220050319760737281965359584571654498961269342304668945802129420545079392996117434366060757464376112613579474178249310948771677210190330159  ( 147 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Jun  8 22:06:02 2022  p58 factor: 4271851615660912231456002530629758904561937486013705098873
Wed Jun  8 22:06:02 2022  p89 factor: 45577046381075643315351170940344148016882076102190644668191444814935979449994976151306983
Wed Jun  8 22:06:02 2022  elapsed time 00:13:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 25x10^170-34 = 27(169)4
#
n: 194698379220050319760737281965359584571654498961269342304668945802129420545079392996117434366060757464376112613579474178249310948771677210190330159
m: 10000000000000000000000000000000000
deg: 5
c5: 25
c0: -34
skew: 1.06
# Murphy_E = 2.073e-10
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1395608 hash collisions in 12397067 relations (11721455 unique)
Msieve: matrix is 755264 x 755489 (262.8 MB)

Sieving start time : 2022/06/08 21:14:35
Sieving end time  : 2022/06/08 21:52:25

Total sieving time: 0hrs 37min 50secs.

Total relation processing time: 0hrs 8min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 32sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62078Florian BaurJune 7, 2022 15:15:13 UTC 2022 年 6 月 8 日 (水) 0 時 15 分 13 秒 (日本時間)

25×10171-349

c111

name 名前Eric Jeancolas
date 日付May 30, 2022 16:14:23 UTC 2022 年 5 月 31 日 (火) 1 時 14 分 23 秒 (日本時間)
composite number 合成数
407857845925961768549228724839270026342041033713260166736720059143878433107669197230092553623107624573776420861<111>
prime factors 素因数
50184605254311961567278316793189439253<38>
8127150624362394629087893499351889763476433501898239540560749179466014537<73>
factorization results 素因数分解の結果
407857845925961768549228724839270026342041033713260166736720059143878433107669197230092553623107624573776420861=50184605254311961567278316793189439253*8127150624362394629087893499351889763476433501898239540560749179466014537

cado polynomial
n: 407857845925961768549228724839270026342041033713260166736720059143878433107669197230092553623107624573776420861
skew: 2151.28
c0: -65238084234835289770635
c1: 30959601325744775904
c2: 150328125466129750
c3: -11202790381501
c4: -11805669720
c5: 1701000
Y0: -1701940806899518517784
Y1: 58900776025017797
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.461e-06
# f(x) = 1701000*x^5-11805669720*x^4-11202790381501*x^3+150328125466129750*x^2+30959601325744775904*x-65238084234835289770635
# g(x) = 58900776025017797*x-1701940806899518517784

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

cado log (extracts)
Info:Square Root: Factors: 50184605254311961567278316793189439253 8127150624362394629087893499351889763476433501898239540560749179466014537
Info:Square Root: Total cpu/real time for sqrt: 182.32/145.659
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11738/31.880/39.342/45.650/1.114
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9203/31.480/34.831/39.790/0.876
Info:Polynomial Selection (size optimized): Total time: 697.59
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 95.49/160.757
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 121.80000000000001s
Info:Quadratic Characters: Total cpu/real time for characters: 11.3/8.82131
Info:Square Root: Total cpu/real time for sqrt: 182.32/145.659
Info:Linear Algebra: Total cpu/real time for bwc: 1409.41/1230.52
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 713.58, WCT time 617.63, iteration CPU time 0.04, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 274.83, WCT time 233.58
Info:Linear Algebra: Mksol: CPU time 395.94,  WCT time 365.09, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 71.44/111.752
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5377193
Info:Lattice Sieving: Average J: 1895.87 for 101376 special-q, max bucket fill -bkmult 1.0,1s:1.287040
Info:Lattice Sieving: Total time: 19051.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.39/1.76891
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 21.95/38.5719
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 37.0s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 251.26
Info:Polynomial Selection (root optimized): Rootsieve time: 250.28
Info:Generate Free Relations: Total cpu/real time for freerel: 62.81/40.8441
Info:Filtering - Merging: Merged matrix has 301667 rows and total weight 46827684 (155.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 47.85/19.4899
Info:Filtering - Merging: Total cpu/real time for replay: 10.73/9.69833
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 20226.2/11695.6
Info:root: Cleaning up computation data in /tmp/cado.z215phoh
50184605254311961567278316793189439253 8127150624362394629087893499351889763476433501898239540560749179466014537
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10176-349

c118

name 名前Eric Jeancolas
date 日付June 1, 2022 06:09:03 UTC 2022 年 6 月 1 日 (水) 15 時 9 分 3 秒 (日本時間)
composite number 合成数
3490528459921217439428819910804289132209612306754683855301554393020549904010531389315772151790199070808241268791651129<118>
prime factors 素因数
30298710920127570675551716094197487<35>
115203860293688059160009590369071062847307941713712638704845381650941410617372948567<84>
factorization results 素因数分解の結果
3490528459921217439428819910804289132209612306754683855301554393020549904010531389315772151790199070808241268791651129=30298710920127570675551716094197487*115203860293688059160009590369071062847307941713712638704845381650941410617372948567

cado polynomial
n: 3490528459921217439428819910804289132209612306754683855301554393020549904010531389315772151790199070808241268791651129
skew: 19634.682
c0: -507833408204897411893732035
c1: -27836711747286391007297
c2: 11996435721175184385
c3: 80406631970737
c4: -8966907870
c5: 183600
Y0: -41075587398417342123478
Y1: 167058518092816907
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.994e-06
# f(x) = 183600*x^5-8966907870*x^4+80406631970737*x^3+11996435721175184385*x^2-27836711747286391007297*x-507833408204897411893732035
# g(x) = 167058518092816907*x-41075587398417342123478

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 30298710920127570675551716094197487 115203860293688059160009590369071062847307941713712638704845381650941410617372948567
Info:Square Root: Total cpu/real time for sqrt: 334.85/97.854
Info:Square Root: Total cpu/real time for sqrt: 334.85/97.854
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 144.24/160.078
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 150.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 72.78/87.7119
Info:Linear Algebra: Total cpu/real time for bwc: 2074.09/1112.32
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1232.41, WCT time 702.64, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (14976 iterations)
Info:Linear Algebra: Lingen CPU time 99.48, WCT time 43.62
Info:Linear Algebra: Mksol: CPU time 712.1,  WCT time 346.3, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13448615
Info:Lattice Sieving: Average J: 1891.13 for 164002 special-q, max bucket fill -bkmult 1.0,1s:1.293110
Info:Lattice Sieving: Total time: 42926.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.15/3.82204
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1138.6
Info:Polynomial Selection (root optimized): Rootsieve time: 1136.07
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.1/71.1978
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 71.1s
Info:Filtering - Merging: Merged matrix has 476255 rows and total weight 47815717 (100.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 37.69/18.0725
Info:Filtering - Merging: Total cpu/real time for replay: 13.57/13.3181
Info:Generate Free Relations: Total cpu/real time for freerel: 127.25/85.2714
Info:Quadratic Characters: Total cpu/real time for characters: 14.1/5.4295
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 19940/33.710/41.926/46.760/1.031
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15638/33.550/37.112/42.400/0.820
Info:Polynomial Selection (size optimized): Total time: 2344.26
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 46066.6/25093.5
Info:root: Cleaning up computation data in /tmp/cado.e633rdbd
30298710920127570675551716094197487 115203860293688059160009590369071062847307941713712638704845381650941410617372948567
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10177-349

c170

name 名前Bob Backstrom
date 日付June 5, 2022 01:44:15 UTC 2022 年 6 月 5 日 (日) 10 時 44 分 15 秒 (日本時間)
composite number 合成数
58715102097788668536747365689403582655553203663425926532648647603075500805648704716429613366642363781327166763295284491039434250962541329031930714563684999639982479977199<170>
prime factors 素因数
6054199004292975469890453989832635796357827082515508709<55>
9698244483895283730578480584166204836202680798929531359873883471440972856468604099223517321934554247670539621484611<115>
factorization results 素因数分解の結果
Number: n
N=58715102097788668536747365689403582655553203663425926532648647603075500805648704716429613366642363781327166763295284491039434250962541329031930714563684999639982479977199  ( 170 digits)
SNFS difficulty: 178 digits.
Divisors found:

Sun Jun  5 11:39:02 2022  p55 factor: 6054199004292975469890453989832635796357827082515508709
Sun Jun  5 11:39:02 2022  p115 factor: 9698244483895283730578480584166204836202680798929531359873883471440972856468604099223517321934554247670539621484611
Sun Jun  5 11:39:02 2022  elapsed time 00:20:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.306).
Factorization parameters were as follows:
#
# N = 25x10^177-34 = 27(176)4
#
n: 58715102097788668536747365689403582655553203663425926532648647603075500805648704716429613366642363781327166763295284491039434250962541329031930714563684999639982479977199
m: 500000000000000000000000000000000000
deg: 5
c5: 2
c0: -85
skew: 2.12
# Murphy_E = 1.197e-10
type: snfs
lss: 1
rlim: 6700000
alim: 6700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6700000/6700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4241006 hash collisions in 30341856 relations (27674341 unique)
Msieve: matrix is 907796 x 908024 (307.2 MB)

Sieving start time : 2022/06/05 09:38:58
Sieving end time  : 2022/06/05 11:17:49

Total sieving time: 1hrs 38min 51secs.

Total relation processing time: 0hrs 12min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6700000,6700000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10178-349

c125

name 名前Eric Jeancolas
date 日付June 9, 2022 06:15:35 UTC 2022 年 6 月 9 日 (木) 15 時 15 分 35 秒 (日本時間)
composite number 合成数
23661905188909036403676829135095570177770450106414234166387855437490806215309762046596320574566034094147531749258058538955287<125>
prime factors 素因数
361326070899013796506870297734687476162073667<45>
65486293668308945750210002135313053172140168675283996991450575185569859916584861<80>
factorization results 素因数分解の結果
23661905188909036403676829135095570177770450106414234166387855437490806215309762046596320574566034094147531749258058538955287=361326070899013796506870297734687476162073667*65486293668308945750210002135313053172140168675283996991450575185569859916584861

cado polynomial
n: 23661905188909036403676829135095570177770450106414234166387855437490806215309762046596320574566034094147531749258058538955287
skew: 1.34
type: snfs
c0: -17
c5: 4
Y0: 500000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5-17
# g(x) = -x+500000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6800000
tasks.lim1 = 6800000
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: 65486293668308945750210002135313053172140168675283996991450575185569859916584861 361326070899013796506870297734687476162073667
Info:Square Root: Total cpu/real time for sqrt: 183.35/69.2075
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22433161
Info:Lattice Sieving: Average J: 1894.05 for 791212 special-q, max bucket fill -bkmult 1.0,1s:1.207350
Info:Lattice Sieving: Total time: 225177s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 89.56/118.247
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 118.1s
Info:Generate Free Relations: Total cpu/real time for freerel: 116.86/39.0171
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.19/214.581
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 194.7s
Info:Filtering - Merging: Merged matrix has 935397 rows and total weight 159707239 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 219.22/79.9597
Info:Filtering - Merging: Total cpu/real time for replay: 33.45/28.7328
Info:Linear Algebra: Total cpu/real time for bwc: 14284.3/5599.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 8489.36, WCT time 3323.36, iteration CPU time 0.09, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (29440 iterations)
Info:Linear Algebra: Lingen CPU time 1025.93, WCT time 364.29
Info:Linear Algebra: Mksol: CPU time 4627.69,  WCT time 1843.15, iteration CPU time 0.1, COMM 0.0, cpu-wait 0.02, comm-wait 0.0 (14848 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 2.9/2.37817
Info:Quadratic Characters: Total cpu/real time for characters: 31.32/15.5704
Info:Square Root: Total cpu/real time for sqrt: 183.35/69.2075
Info:Filtering - Singleton removal: Total cpu/real time for purge: 129.8/198.487
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 376195/75899.3
Info:root: Cleaning up computation data in /tmp/cado.zyr5v7r5
65486293668308945750210002135313053172140168675283996991450575185569859916584861 361326070899013796506870297734687476162073667
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10179-349

c169

name 名前Erik Branger
date 日付June 8, 2022 19:12:30 UTC 2022 年 6 月 9 日 (木) 4 時 12 分 30 秒 (日本時間)
composite number 合成数
3221557975376402413672143163066757504171971629412151990985121987389440901960108257428735105411837722046030388077793280066555100825928449862909840858593466901841812231059<169>
prime factors 素因数
4794684213161127914484319787197846464100960223<46>
671902013178138838056347654119867593367896014135304195983136651487661721065453048965557220601814137408907434271525346441933<123>
factorization results 素因数分解の結果
Number: 27774_179
N = 3221557975376402413672143163066757504171971629412151990985121987389440901960108257428735105411837722046030388077793280066555100825928449862909840858593466901841812231059 (169 digits)
SNFS difficulty: 181 digits.
Divisors found:
r1=4794684213161127914484319787197846464100960223 (pp46)
r2=671902013178138838056347654119867593367896014135304195983136651487661721065453048965557220601814137408907434271525346441933 (pp123)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 9.42 hours.
Factorization parameters were as follows:
n: 3221557975376402413672143163066757504171971629412151990985121987389440901960108257428735105411837722046030388077793280066555100825928449862909840858593466901841812231059
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 5
c0: -68
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 15414034
Relations: 4303736 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.35 hours.
Total relation processing time: 0.20 hours.
Pruned matrix : 3918536 x 3918784
Matrix solve time: 7.81 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,181,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 9.42 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10182-349

c180

name 名前Bob Backstrom
date 日付June 11, 2022 11:06:11 UTC 2022 年 6 月 11 日 (土) 20 時 6 分 11 秒 (日本時間)
composite number 合成数
540423692174664937310851707738867271941201902291396454820579334198011240812797233030696065715520968439256376999567661046260268050151318633808906182447038478166882836143536532641591<180>
prime factors 素因数
969034654519474323477698006780873543878503893428534718236120547<63>
557692843753509174908871721703962995693892494013638277201330967225970600918936147183196833474346748677409753827645853<117>
factorization results 素因数分解の結果
Number: n
N=540423692174664937310851707738867271941201902291396454820579334198011240812797233030696065715520968439256376999567661046260268050151318633808906182447038478166882836143536532641591  ( 180 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sat Jun 11 21:02:26 2022  p63 factor: 969034654519474323477698006780873543878503893428534718236120547
Sat Jun 11 21:02:26 2022  p117 factor: 557692843753509174908871721703962995693892494013638277201330967225970600918936147183196833474346748677409753827645853
Sat Jun 11 21:02:26 2022  elapsed time 00:22:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 25x10^182-34 = 27(181)4
#
n: 540423692174664937310851707738867271941201902291396454820579334198011240812797233030696065715520968439256376999567661046260268050151318633808906182447038478166882836143536532641591
m: 5000000000000000000000000000000000000
deg: 5
c5: 2
c0: -85
skew: 2.12
# Murphy_E = 7.505e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3203135 hash collisions in 29021986 relations (27555216 unique)
Msieve: matrix is 937055 x 937282 (318.2 MB)

Sieving start time : 2022/06/11 17:51:21
Sieving end time  : 2022/06/11 20:39:21

Total sieving time: 2hrs 48min 0secs.

Total relation processing time: 0hrs 13min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 14sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 8, 2022 19:30:42 UTC 2022 年 6 月 9 日 (木) 4 時 30 分 42 秒 (日本時間)

25×10184-349

c155

name 名前Ignacio Santos
date 日付June 8, 2022 19:33:26 UTC 2022 年 6 月 9 日 (木) 4 時 33 分 26 秒 (日本時間)
composite number 合成数
10538833114368128440463547500806615277196591595113657722146026385037897825280921476639405751865102436655490503109301865049792233265774108468432977569698907<155>
prime factors 素因数
229709757241371974379255199556417<33>
45878909285051594582305446121275767052914036006649755921867275928040862410410268900861751265310042921674948193234286754971<122>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2681178177
Step 1 took 6047ms
Step 2 took 3609ms
********** Factor found in step 2: 229709757241371974379255199556417
Found prime factor of 33 digits: 229709757241371974379255199556417
Prime cofactor 45878909285051594582305446121275767052914036006649755921867275928040862410410268900861751265310042921674948193234286754971 has 122 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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10188-349

c187

name 名前Bob Backstrom
date 日付June 21, 2022 15:20:58 UTC 2022 年 6 月 22 日 (水) 0 時 20 分 58 秒 (日本時間)
composite number 合成数
2276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867<187>
prime factors 素因数
18576300425092410698287704164982991057<38>
214381168672529591516188844816195505736408466611551249121261<60>
571731088888860845320331596935530263142634192614797127581054545508902794637145255764943871<90>
factorization results 素因数分解の結果
Number: n
N=2276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867  ( 187 digits)
SNFS difficulty: 189 digits.
Divisors found:

Mon Jun 20 08:20:26 2022  found factor: 571731088888860845320331596935530263142634192614797127581054545508902794637145255764943871
Mon Jun 20 08:22:38 2022  p38 factor: 18576300425092410698287704164982991057
Mon Jun 20 08:22:38 2022  p60 factor: 214381168672529591516188844816195505736408466611551249121261
Mon Jun 20 08:22:38 2022  p90 factor: 571731088888860845320331596935530263142634192614797127581054545508902794637145255764943871
Mon Jun 20 08:22:38 2022  elapsed time 00:31:43 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 25x10^188-34 = 27(187)4
#
n: 2276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867030965391621129326047358834244080145719489981785063752276867
m: 50000000000000000000000000000000000000
deg: 5
c5: 4
c0: -17
skew: 1.34
# Murphy_E = 4.678e-11
type: snfs
lss: 1
rlim: 9900000
alim: 9900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9900000/9900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3127607 hash collisions in 28687113 relations (27278115 unique)
Msieve: matrix is 1126282 x 1126507 (390.2 MB)

Sieving start time : 2022/06/20 03:40:15
Sieving end time  : 2022/06/20 07:50:08

Total sieving time: 4hrs 9min 53secs.

Total relation processing time: 0hrs 21min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 19sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,9900000,9900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 16:11:26 UTC 2022 年 6 月 20 日 (月) 1 時 11 分 26 秒 (日本時間)

25×10189-349

c190

name 名前Bob Backstrom
date 日付June 22, 2022 00:34:10 UTC 2022 年 6 月 22 日 (水) 9 時 34 分 10 秒 (日本時間)
composite number 合成数
1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<190>
prime factors 素因数
1231238821356305921958716468561912716314145091987818999151392655860999574965548349426079<88>
1128041826490590249097713152814339517395760416597993810909023403428981627264648063933806473894634677353<103>
factorization results 素因数分解の結果
Number: n
N=1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887  ( 190 digits)
SNFS difficulty: 190 digits.
Divisors found:

Wed Jun 22 10:29:12 2022  p88 factor: 1231238821356305921958716468561912716314145091987818999151392655860999574965548349426079
Wed Jun 22 10:29:12 2022  p103 factor: 1128041826490590249097713152814339517395760416597993810909023403428981627264648063933806473894634677353
Wed Jun 22 10:29:12 2022  elapsed time 00:34:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 25x10^189-34 = 27(188)4
#
n: 1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 50000000000000000000000000000000000000
deg: 5
c5: 40
c0: -17
skew: 0.84
# Murphy_E = 3.987e-11
type: snfs
lss: 1
rlim: 10300000
alim: 10300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10300000/10300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3316528 hash collisions in 28977883 relations (27358710 unique)
Msieve: matrix is 1204117 x 1204342 (418.4 MB)

Sieving start time : 2022/06/22 05:13:34
Sieving end time  : 2022/06/22 09:53:28

Total sieving time: 4hrs 39min 54secs.

Total relation processing time: 0hrs 24min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 46sec.

Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,10300000,10300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10190-349

c161

name 名前Bob Backstrom
date 日付September 26, 2022 08:12:30 UTC 2022 年 9 月 26 日 (月) 17 時 12 分 30 秒 (日本時間)
composite number 合成数
63374225005334290746236507730625762924598178506707913296319734617399079250616523867261726430849136223745032527109662368057419687915426039226870852890127358882041<161>
prime factors 素因数
300912766194851951095177755033949775214733423291529548506024560879718937337291<78>
210606634629443328685829987063333175643859048449561188287856489698917473568931042251<84>
factorization results 素因数分解の結果
Number: n
N=63374225005334290746236507730625762924598178506707913296319734617399079250616523867261726430849136223745032527109662368057419687915426039226870852890127358882041  ( 161 digits)
SNFS difficulty: 191 digits.
Divisors found:

Mon Sep 26 18:07:11 2022  p78 factor: 300912766194851951095177755033949775214733423291529548506024560879718937337291
Mon Sep 26 18:07:11 2022  p84 factor: 210606634629443328685829987063333175643859048449561188287856489698917473568931042251
Mon Sep 26 18:07:11 2022  elapsed time 00:38:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.311).
Factorization parameters were as follows:
#
# N = 25x10^190-34 = 27(189)4
#
n: 63374225005334290746236507730625762924598178506707913296319734617399079250616523867261726430849136223745032527109662368057419687915426039226870852890127358882041
m: 100000000000000000000000000000000000000
deg: 5
c5: 25
c0: -34
skew: 1.06
# Murphy_E = 3.213e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3465718 hash collisions in 28568323 relations (26714554 unique)
Msieve: matrix is 1324633 x 1324858 (459.0 MB)

Sieving start time : 2022/09/26 12:21:08
Sieving end time  : 2022/09/26 17:28:04

Total sieving time: 5hrs 6min 56secs.

Total relation processing time: 0hrs 29min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 30sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 20:38:19 UTC 2022 年 6 月 22 日 (水) 5 時 38 分 19 秒 (日本時間)

25×10191-349

c158

name 名前Bob Backstrom
date 日付July 16, 2022 15:12:10 UTC 2022 年 7 月 17 日 (日) 0 時 12 分 10 秒 (日本時間)
composite number 合成数
22456598361914884870349941451090436230122417485021236526385686249743067570374767706972544173230539111011682108296131696985737956900124655758923488019520381459<158>
prime factors 素因数
1451705780028514102629586504587537413633<40>
15469111352214769746018637354553796358137854515783718649452526244373499783118182297645799829635917563247982055892066323<119>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 22456598361914884870349941451090436230122417485021236526385686249743067570374767706972544173230539111011682108296131696985737956900124655758923488019520381459 (158 digits)
Using B1=15060000, B2=46847553490, polynomial Dickson(12), sigma=1:1789905376
Step 1 took 29379ms
Step 2 took 11781ms
********** Factor found in step 2: 1451705780028514102629586504587537413633
Found prime factor of 40 digits: 1451705780028514102629586504587537413633
Prime cofactor 15469111352214769746018637354553796358137854515783718649452526244373499783118182297645799829635917563247982055892066323 has 119 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 22, 2022 17:04:38 UTC 2022 年 6 月 23 日 (木) 2 時 4 分 38 秒 (日本時間)

25×10200-349

c113

name 名前Eric Jeancolas
date 日付May 30, 2022 16:27:47 UTC 2022 年 5 月 31 日 (火) 1 時 27 分 47 秒 (日本時間)
composite number 合成数
11358459282575744744750470181850246602859038152570465228710170463003568388059778246186907005484854236894316540531<113>
prime factors 素因数
789071719579649180964981842285663637315702264105521<51>
14394710899823622194017589406441302332610750094361725362403811<62>
factorization results 素因数分解の結果
11358459282575744744750470181850246602859038152570465228710170463003568388059778246186907005484854236894316540531=789071719579649180964981842285663637315702264105521*14394710899823622194017589406441302332610750094361725362403811

cado polynomial
n: 11358459282575744744750470181850246602859038152570465228710170463003568388059778246186907005484854236894316540531
skew: 5734.587
c0: 996309606311774673372360
c1: -179830250567836958213
c2: -248781012510469688
c3: 1724949348439
c4: 1385698476
c5: 182520
Y0: -3268850340050435416791
Y1: 183465210157537
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.353e-06
# f(x) = 182520*x^5+1385698476*x^4+1724949348439*x^3-248781012510469688*x^2-179830250567836958213*x+996309606311774673372360
# g(x) = 183465210157537*x-3268850340050435416791

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

cado log (extracts)
Info:Square Root: Factors: 789071719579649180964981842285663637315702264105521 14394710899823622194017589406441302332610750094361725362403811
Info:Square Root: Total cpu/real time for sqrt: 124.56/37.5961
Info:Quadratic Characters: Total cpu/real time for characters: 14.64/5.72417
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 107.92/129.344
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.5s
Info:Square Root: Total cpu/real time for sqrt: 124.56/37.5961
Info:Linear Algebra: Total cpu/real time for bwc: 2008.55/520.93
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1228.37, WCT time 315.37, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Linear Algebra: Lingen CPU time 63.74, WCT time 16.25
Info:Linear Algebra: Mksol: CPU time 684.17,  WCT time 176.17, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 76.21/92.6166
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6590825
Info:Lattice Sieving: Average J: 1884.61 for 97611 special-q, max bucket fill -bkmult 1.0,1s:1.230330
Info:Lattice Sieving: Total time: 21436.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.23/3.21231
Info:Generate Free Relations: Total cpu/real time for freerel: 65.02/42.1541
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 26.73/34.3024
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 33.599999999999994s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 315.08
Info:Polynomial Selection (root optimized): Rootsieve time: 313.92
Info:Filtering - Merging: Merged matrix has 397163 rows and total weight 62087310 (156.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 64.32/19.1949
Info:Filtering - Merging: Total cpu/real time for replay: 13.39/10.9434
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21665/32.220/39.854/45.130/1.069
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16484/31.930/35.293/40.320/0.820
Info:Polynomial Selection (size optimized): Total time: 1851.89
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25884.8/12625.2
Info:root: Cleaning up computation data in /tmp/cado.7vlyxu5s
789071719579649180964981842285663637315702264105521 14394710899823622194017589406441302332610750094361725362403811
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10201-349

c137

name 名前Ignacio Santos
date 日付June 21, 2022 16:45:08 UTC 2022 年 6 月 22 日 (水) 1 時 45 分 8 秒 (日本時間)
composite number 合成数
36190231650566105483762847677979973055125390677873168472777301809777900905099050729970820841427760835239206320758594474417980630800355923<137>
prime factors 素因数
2879953932891026036577595442469556932633889325400058079<55>
12566253660257939948962528705007241972899031301615897480247598914431613426150433037<83>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2390347427
Step 1 took 85312ms
Step 2 took 32063ms
********** Factor found in step 2: 2879953932891026036577595442469556932633889325400058079
Found prime factor of 55 digits: 2879953932891026036577595442469556932633889325400058079
Prime cofactor 12566253660257939948962528705007241972899031301615897480247598914431613426150433037 has 83 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 12:15:09 UTC 2022 年 6 月 3 日 (金) 21 時 15 分 9 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 14:32:55 UTC 2022 年 6 月 5 日 (日) 23 時 32 分 55 秒 (日本時間)

25×10202-349

c167

name 名前Bob Backstrom
date 日付July 29, 2023 01:33:34 UTC 2023 年 7 月 29 日 (土) 10 時 33 分 34 秒 (日本時間)
composite number 合成数
11651182980691551721249064498984424513819985036949366993258514824158627492948080966119355638299387122495122590974661309342647640228351502118636585053587864725422941081<167>
prime factors 素因数
42201059677758227536542533976060494005293839<44>
276087450638881136398930364868910257800762410156303354510362380387379876999610752435617884018971867296882786913571951640279<123>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 11651182980691551721249064498984424513819985036949366993258514824158627492948080966119355638299387122495122590974661309342647640228351502118636585053587864725422941081 (167 digits)
Using B1=41770000, B2=192395152966, polynomial Dickson(12), sigma=1:252535120
Step 1 took 98267ms
Step 2 took 30703ms
********** Factor found in step 2: 42201059677758227536542533976060494005293839
Found prime factor of 44 digits: 42201059677758227536542533976060494005293839
Prime cofactor 276087450638881136398930364868910257800762410156303354510362380387379876999610752435617884018971867296882786913571951640279 has 123 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 22, 2023 15:30:04 UTC 2023 年 7 月 23 日 (日) 0 時 30 分 4 秒 (日本時間)

25×10204-349

c205

name 名前Bob Backstrom
date 日付September 20, 2023 03:44:28 UTC 2023 年 9 月 20 日 (水) 12 時 44 分 28 秒 (日本時間)
composite number 合成数
1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<205>
prime factors 素因数
201142619949539422919498230900063935478457037026834340431<57>
25201879981577667554334502804976560417675471793971551172733964999774276553<74>
273987318459967784921038821602538378834549954548756516109800834033988278609<75>
factorization results 素因数分解の結果
Number: n
N=1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887  ( 205 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Sep 20 13:15:06 2023  prp57 factor: 201142619949539422919498230900063935478457037026834340431
Wed Sep 20 13:15:06 2023  prp74 factor: 25201879981577667554334502804976560417675471793971551172733964999774276553
Wed Sep 20 13:15:06 2023  prp75 factor: 273987318459967784921038821602538378834549954548756516109800834033988278609
Wed Sep 20 13:15:06 2023  elapsed time 03:05:53 (Msieve 1.44 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.106).
Factorization parameters were as follows:
#
# N = 25x10^204-34 = 27(203)4
#
n: 1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887
m: 50000000000000000000000000000000000000000
deg: 5
c5: 40
c0: -17
skew: 0.84
# Murphy_E = 9.447e-12
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41968933)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3102128 hash collisions in 18235090 relations (15552276 unique)
Msieve: matrix is 2386229 x 2386454 (673.5 MB)

Sieving start time: 2023/09/19 17:09:23
Sieving end time  : 2023/09/20 10:08:43

Total sieving time: 16hrs 59min 20secs.

Total relation processing time: 2hrs 50min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 19sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18300000,18300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10205-349

c186

name 名前Bob Backstrom
date 日付February 2, 2024 14:43:46 UTC 2024 年 2 月 2 日 (金) 23 時 43 分 46 秒 (日本時間)
composite number 合成数
604898780982760788773582384739311659809949653738907309237383183855288682192053353417802112814157453001529802070232692649967650845195393786632532936666516361663114534146250359823593980011<186>
prime factors 素因数
186902615700891266355475845497046667986802016120498432887<57>
3236438284795370363662440270974366538017780791875558656636119559923551301319023930424830978241769788328660954111537368456735451053<130>
factorization results 素因数分解の結果
Number: n
N=604898780982760788773582384739311659809949653738907309237383183855288682192053353417802112814157453001529802070232692649967650845195393786632532936666516361663114534146250359823593980011  ( 186 digits)
SNFS difficulty: 206 digits.
Divisors found:

Wed Jan 31 18:34:40 2024  prp57 factor: 186902615700891266355475845497046667986802016120498432887
Wed Jan 31 18:34:40 2024  prp130 factor: 3236438284795370363662440270974366538017780791875558656636119559923551301319023930424830978241769788328660954111537368456735451053
Wed Jan 31 18:34:40 2024  elapsed time 04:08:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.020).
Factorization parameters were as follows:
#
# N = 25x10^205-34 = 27(204)4
#
n: 604898780982760788773582384739311659809949653738907309237383183855288682192053353417802112814157453001529802070232692649967650845195393786632532936666516361663114534146250359823593980011
m: 100000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -34
skew: 1.06
# Murphy_E = 7.589e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 85650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3221237 hash collisions in 19206261 relations (16433486 unique)
Msieve: matrix is 2709352 x 2709577 (762.0 MB)

Sieving start time: 2024/01/29 22:21:04
Sieving end time  : 2024/01/31 14:26:06

Total sieving time: 40hrs 5min 2secs.

Total relation processing time: 3hrs 59min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 2sec.

Prototype def-par.txt line would be:
snfs,206,5,0,0,0,0,0,0,0,0,19300000,19300000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJanuary 26, 2024 08:54:31 UTC 2024 年 1 月 26 日 (金) 17 時 54 分 31 秒 (日本時間)
4511e64480Ignacio SantosJanuary 26, 2024 10:10:05 UTC 2024 年 1 月 26 日 (金) 19 時 10 分 5 秒 (日本時間)

25×10209-349

c182

composite cofactor 合成数の残り
59554355979994970464589919672232962530372288644287361019552098706263107935305873604992595286324133565937243309010076515208434717493858125228368241063696390300941241747520297874531089<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:51:25 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 25 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:51:25 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 25 秒 (日本時間)

25×10212-349

c159

name 名前Dmitry Domanov
date 日付August 30, 2022 17:45:55 UTC 2022 年 8 月 31 日 (水) 2 時 45 分 55 秒 (日本時間)
composite number 合成数
297162982682317691291270114486143795730743734671032499439364907821459984923163796663599659720164166228077552812495434128178346337595874465755199780224865765891<159>
prime factors 素因数
17378113590534853819343044082554210640303<41>
composite cofactor 合成数の残り
17099841195891951579624113720478409261207968616815651508957152375681982802954616482179747458912332973242190231804335597<119>
factorization results 素因数分解の結果
Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 10:36:10 2022 
Input number is 297162982682317691291270114486143795730743734671032499439364907821459984923163796663599659720164166228077552812495434128178346337595874465755199780224865765891 (159 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:816319968
Step 1 took 0ms
Step 2 took 5464ms
********** Factor found in step 2: 17378113590534853819343044082554210640303
Found prime factor of 41 digits: 17378113590534853819343044082554210640303
Composite cofactor 17099841195891951579624113720478409261207968616815651508957152375681982802954616482179747458912332973242190231804335597 has 119 digits

c119

name 名前Eric Jeancolas
date 日付September 1, 2022 00:56:21 UTC 2022 年 9 月 1 日 (木) 9 時 56 分 21 秒 (日本時間)
composite number 合成数
17099841195891951579624113720478409261207968616815651508957152375681982802954616482179747458912332973242190231804335597<119>
prime factors 素因数
796516150831944468686393483333932578650488701630402960847<57>
21468291858277481148354653750960207204460691501635344777829251<62>
factorization results 素因数分解の結果
17099841195891951579624113720478409261207968616815651508957152375681982802954616482179747458912332973242190231804335597=796516150831944468686393483333932578650488701630402960847*21468291858277481148354653750960207204460691501635344777829251

cado polynomial
n: 17099841195891951579624113720478409261207968616815651508957152375681982802954616482179747458912332973242190231804335597
skew: 51315.41
c0: 3635539035282430888248264932
c1: -104124218393378241260795
c2: -13064841828434228694
c3: 5867197426783
c4: 56885990
c5: 13440
Y0: -76045827424221093095646
Y1: 10076885628413477
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.639e-06
# f(x) = 13440*x^5+56885990*x^4+5867197426783*x^3-13064841828434228694*x^2-104124218393378241260795*x+3635539035282430888248264932
# g(x) = 10076885628413477*x-76045827424221093095646

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 796516150831944468686393483333932578650488701630402960847 21468291858277481148354653750960207204460691501635344777829251
Info:Square Root: Total cpu/real time for sqrt: 150.72/50.7734
Info:Filtering - Merging: Merged matrix has 578795 rows and total weight 58729791 (101.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 41.28/21.0408
Info:Filtering - Merging: Total cpu/real time for replay: 14.64/12.7222
Info:Generate Factor Base: Total cpu/real time for makefb: 4.96/2.59667
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13447554
Info:Lattice Sieving: Average J: 1892.19 for 212382 special-q, max bucket fill -bkmult 1.0,1s:1.265050
Info:Lattice Sieving: Total time: 41578.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1254.64
Info:Polynomial Selection (root optimized): Rootsieve time: 1251.99
Info:Linear Algebra: Total cpu/real time for bwc: 10366.9/5087.78
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1847.64, WCT time 938.79, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18176 iterations)
Info:Linear Algebra: Lingen CPU time 7375.85, WCT time 3674.47
Info:Linear Algebra: Mksol: CPU time 1090.2,  WCT time 443.99, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (9216 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20128/34.350/42.221/46.890/1.050
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15940/33.580/37.339/42.710/0.811
Info:Polynomial Selection (size optimized): Total time: 2375.24
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 153.43/244.614
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 231.60000000000002s
Info:Generate Free Relations: Total cpu/real time for freerel: 129.19/50.7937
Info:Quadratic Characters: Total cpu/real time for characters: 17.76/8.59843
Info:Square Root: Total cpu/real time for sqrt: 150.72/50.7734
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.53/89.4036
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 58.45/91.1916
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 91.0s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 63611/28068.8
Info:root: Cleaning up computation data in /tmp/cado.f8os4awc
796516150831944468686393483333932578650488701630402960847 21468291858277481148354653750960207204460691501635344777829251
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 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 30, 2022 17:45:49 UTC 2022 年 8 月 31 日 (水) 2 時 45 分 49 秒 (日本時間)

25×10214-349

c214

composite cofactor 合成数の残り
4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:51:32 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 32 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 09:23:41 UTC 2024 年 8 月 24 日 (土) 18 時 23 分 41 秒 (日本時間)

25×10216-349

c202

composite cofactor 合成数の残り
2318747873784953543545027641113384792303237514965222351623829644546090513266721761751127307840770118108253124480588558437353353776115633262679042810372436850177234784186814895441874490661294071021324369<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:51:40 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 40 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 09:34:02 UTC 2024 年 8 月 24 日 (土) 18 時 34 分 2 秒 (日本時間)

25×10217-349

c190

composite cofactor 合成数の残り
1395285678092581188667876625933773661039637559996939324858941456255266024567400811052323523089992131539852976338782742731478889773940466700836253252568803456917939527815177909505763212723657<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:51:50 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 50 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:51:50 UTC 2024 年 2 月 27 日 (火) 2 時 51 分 50 秒 (日本時間)

25×10220-349

c163

name 名前Erik Branger
date 日付August 15, 2022 15:54:11 UTC 2022 年 8 月 16 日 (火) 0 時 54 分 11 秒 (日本時間)
composite number 合成数
1268208780148167702846523752820147823172711764778690348058542497637360904349811167953126556299222855021767367313432330781499299732962148707343326308733814129398227<163>
prime factors 素因数
2756872263377688836363010369420736728154277254659358545514474463<64>
460017243814688967082997072296145403211089750621900643942516809399530653261441277843809076880447629<99>
factorization results 素因数分解の結果
Number: 27774_220
N = 1268208780148167702846523752820147823172711764778690348058542497637360904349811167953126556299222855021767367313432330781499299732962148707343326308733814129398227 (163 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=2756872263377688836363010369420736728154277254659358545514474463 (pp64)
r2=460017243814688967082997072296145403211089750621900643942516809399530653261441277843809076880447629 (pp99)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.50 hours.
Factorization parameters were as follows:
n: 1268208780148167702846523752820147823172711764778690348058542497637360904349811167953126556299222855021767367313432330781499299732962148707343326308733814129398227
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 25
c0: -34
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30887801
Relations: 8428870 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 23.59 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7220649 x 7220874
Matrix solve time: 28.30 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 52.50 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10222-349

c215

name 名前Dmitry Domanov
date 日付February 17, 2024 18:15:22 UTC 2024 年 2 月 18 日 (日) 3 時 15 分 22 秒 (日本時間)
composite number 合成数
17812036394105646046329041112774855057724385443456102993674514112690891968088394484897075306515471489925588451009613368361372634910504655730734653550926138898507744782433819866827497670609566117161211516064053627533<215>
prime factors 素因数
623599137840438139758918185585839171157<39>
composite cofactor 合成数の残り
28563279378143168694520061498333223161096919414096973068687944667214322345120062340004225388201839252419075532595018160259509779911288202748045085615450317603534547305260686169<176>
factorization results 素因数分解の結果
GPU: factor 623599137840438139758918185585839171157 found in Step 1 with curve 3 (-sigma 3:-769809334)
Computing 1792 Step 1 took 260ms of CPU time / 175507ms of GPU time
Throughput: 10.210 curves per second (on average 97.94ms per Step 1)
********** Factor found in step 1: 623599137840438139758918185585839171157
Found prime factor of 39 digits: 623599137840438139758918185585839171157
Composite cofactor 28563279378143168694520061498333223161096919414096973068687944667214322345120062340004225388201839252419075532595018160259509779911288202748045085615450317603534547305260686169 has 176 digits
Peak memory usage: 9467MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 17, 2024 18:15:14 UTC 2024 年 2 月 18 日 (日) 3 時 15 分 14 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:52:00 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 0 秒 (日本時間)

25×10223-349

c161

composite cofactor 合成数の残り
10990584693631055651004512931221613054196509067075077461162050211057353493791411881720460915011693768797559053304929328694258036830084113627488026192111794401753<161>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:52:15 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 15 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:52:15 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 15 秒 (日本時間)

25×10224-349

c201

composite cofactor 合成数の残り
187749502353900827584169048461483837020625783071888912475659197215756089245312947067180185531898172040881094447610097412750815597550723001044718582746308917200749251558852709888735652415584463068685671<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:52:23 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 23 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 09:46:30 UTC 2024 年 8 月 24 日 (土) 18 時 46 分 30 秒 (日本時間)

25×10225-349

c222

name 名前ebina
date 日付May 29, 2022 21:31:43 UTC 2022 年 5 月 30 日 (月) 6 時 31 分 43 秒 (日本時間)
composite number 合成数
239422321821908100135991878794843800877243387155471278898274243904307686414219770537646765883276829665383363021701239249937750196326303893964642111513340611771916719339577467486448696584880001532302859660211840870348024287<222>
prime factors 素因数
3619976053463019631577021298957253380101558945037712201972916073519060731<73>
66139200449369478718793629881649465299657970128830673651024579134351429101013588937147809898333193903073717555804244264658839384211144252321459508077<149>
factorization results 素因数分解の結果
03/17/22 19:38:23 v1.34.5 @ USER, nfs: input divides 10^227 - 136
03/17/22 19:38:23 v1.34.5 @ USER, nfs: using supplied cofactor: 239422321821908100135991878794843800877243387155471278898274243904307686414219770537646765883276829665383363021701239249937750196326303893964642111513340611771916719339577467486448696584880001532302859660211840870348024287
03/17/22 19:38:23 v1.34.5 @ USER, nfs: commencing snfs on c222: 239422321821908100135991878794843800877243387155471278898274243904307686414219770537646765883276829665383363021701239249937750196326303893964642111513340611771916719339577467486448696584880001532302859660211840870348024287
03/17/22 19:38:34 v1.34.5 @ USER, test: fb generation took 10.7296 seconds
03/17/22 19:38:34 v1.34.5 @ USER, test: commencing test sieving of polynomial 0 on the rational side over range 35200000-35202000
skew: 1.6643
c6: 4
c0: -85
Y1: -1
Y0: 50000000000000000000000000000000000000
m: 50000000000000000000000000000000000000
rlim: 35200000
alim: 35200000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
03/17/22 19:43:20 v1.34.5 @ USER, nfs: parsing special-q from .dat file
03/17/22 19:43:20 v1.34.5 @ USER, test: new best estimated total sieving time = 11 days 3h 24m 10s (with 8 threads)
03/17/22 19:43:31 v1.34.5 @ USER, test: fb generation took 10.3976 seconds
03/17/22 19:43:31 v1.34.5 @ USER, test: commencing test sieving of polynomial 1 on the rational side over range 35200000-35202000
skew: 3.3286
c6: 1
c0: -1360
Y1: -1
Y0: 100000000000000000000000000000000000000
m: 100000000000000000000000000000000000000
rlim: 35200000
alim: 35200000
mfbr: 58
mfba: 58
lpbr: 29
lpba: 29
rlambda: 2.60
alambda: 2.60
03/17/22 19:48:16 v1.34.5 @ USER, nfs: parsing special-q from .dat file
03/17/22 19:48:16 v1.34.5 @ USER, test: estimated total sieving time = 11 days 13h 36m 5s (with 8 threads)
03/17/22 19:48:23 v1.34.5 @ USER, test: fb generation took 7.2024 seconds
03/17/22 19:48:23 v1.34.5 @ USER, test: commencing test sieving of polynomial 2 on the rational side over range 44539193-44541193
skew: 1.0634
c5: 25
c0: -34
Y1: -1
Y0: 1000000000000000000000000000000000000000000000
m: 1000000000000000000000000000000000000000000000
rlim: 44539193
alim: 35252161
mfbr: 62
mfba: 60
lpbr: 31
lpba: 30
rlambda: 2.60
alambda: 2.60
03/17/22 19:53:11 v1.34.5 @ USER, nfs: parsing special-q from .dat file
03/17/22 19:53:11 v1.34.5 @ USER, test: estimated total sieving time = 15 days 14h 50m 13s (with 8 threads)
03/17/22 19:53:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/17/22 21:28:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/17/22 23:04:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 00:46:36 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 02:29:50 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 04:16:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 06:03:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 07:40:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 09:18:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 10:57:50 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 12:32:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 14:06:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 15:43:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 17:18:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 18:55:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 20:24:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 21:59:24 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/18/22 23:31:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 00:58:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 02:38:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 04:06:03 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 05:38:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 07:15:45 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 08:55:05 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 10:34:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 12:05:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 13:36:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 15:13:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 16:52:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 18:25:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 20:01:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 21:39:55 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/19/22 23:16:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 00:36:41 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 01:57:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 03:17:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 04:37:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 05:57:44 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 07:19:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 08:40:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 10:02:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 11:22:30 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 12:44:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 14:04:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 15:26:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 16:49:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 18:10:55 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 19:31:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 20:51:36 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 22:11:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/20/22 23:33:55 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 00:54:36 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 02:17:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 03:36:44 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 04:59:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 06:21:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 07:44:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 09:06:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 10:26:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 11:49:04 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 13:12:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 14:35:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 15:58:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 17:20:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 18:45:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 20:06:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 21:30:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/21/22 22:49:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 00:10:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 01:34:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 02:55:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 04:17:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 05:39:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 07:01:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 08:26:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 09:48:32 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 11:11:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 12:34:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 13:57:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 15:21:45 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 16:46:05 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 18:09:25 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 19:32:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 20:56:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 22:19:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/22/22 23:41:23 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 01:04:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 02:26:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 03:51:32 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 05:12:18 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 06:35:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 07:55:55 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 09:19:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 10:42:45 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 12:04:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 13:24:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 14:48:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 16:12:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 17:36:27 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 19:00:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 20:24:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 21:48:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/23/22 23:11:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 00:35:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 01:58:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 03:21:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 04:46:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 06:10:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 07:34:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 08:58:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 10:22:25 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 11:48:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 13:11:18 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 14:35:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 16:01:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 17:26:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 18:52:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 20:17:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 21:41:05 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/24/22 23:05:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 00:31:23 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 01:53:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 03:19:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 04:42:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 06:05:56 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 07:31:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 08:56:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 10:19:51 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 11:46:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 13:09:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 14:34:19 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 15:59:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 17:24:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 18:49:24 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 20:14:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 21:38:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/25/22 23:03:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 00:24:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 01:48:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 03:09:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 04:33:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 05:58:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 07:19:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 08:44:19 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 10:05:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 11:31:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 12:54:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 14:18:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 15:42:56 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 17:06:31 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 18:27:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 19:52:34 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 21:17:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/26/22 22:40:25 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 00:05:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 01:31:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 02:57:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 04:20:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 05:43:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 07:05:31 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 08:29:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 09:54:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 11:17:10 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 12:40:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 14:06:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 15:30:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 16:53:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 18:17:03 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 19:40:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 21:01:30 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 22:22:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/27/22 23:45:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 01:08:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 02:30:47 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 03:53:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 05:19:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 06:43:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 08:04:52 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 09:26:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 10:48:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 12:10:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 13:33:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 14:56:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 16:19:19 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 17:42:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 19:05:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 20:27:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 21:50:51 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/28/22 23:12:30 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 00:36:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 02:00:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 03:25:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 04:48:56 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 06:10:41 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 07:34:31 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 08:57:39 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 10:23:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 11:46:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 13:07:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 14:30:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 15:53:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 17:16:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 18:39:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 20:00:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 21:23:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/29/22 22:44:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 00:06:53 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 01:26:52 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 02:51:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 04:14:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 05:36:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 07:00:25 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 08:24:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 09:47:23 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 11:10:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 12:34:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 13:55:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 15:17:28 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 16:41:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 18:02:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 19:26:36 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 20:49:31 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 22:12:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/30/22 23:37:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 00:59:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 02:22:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 03:46:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 05:06:30 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 06:29:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 07:50:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 09:13:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 10:34:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 11:56:45 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 13:18:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 14:37:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 16:00:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 17:22:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 18:44:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 20:05:44 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 21:29:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
03/31/22 22:50:47 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 00:14:16 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 01:38:05 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 02:57:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 04:20:51 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 05:44:38 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 07:07:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 08:27:20 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 09:49:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 11:11:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 12:31:04 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 13:51:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 15:11:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 16:35:24 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 17:54:05 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 19:13:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 20:35:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 21:58:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/01/22 23:22:47 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 00:44:02 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 02:02:13 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 03:22:16 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 04:44:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 06:06:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 07:27:59 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 08:49:16 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 10:10:59 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 11:34:21 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 12:55:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 14:17:50 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 15:36:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 16:57:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 18:19:54 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 19:41:30 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 21:02:41 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 22:23:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/02/22 23:47:23 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 01:09:41 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 02:31:12 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 03:53:42 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 05:15:32 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 06:35:16 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 07:55:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 09:17:32 v1.34.5 @ USER, nfs: commencing msieve filtering
04/03/22 09:33:00 v1.34.5 @ USER, nfs: raising min_rels by 5.00 percent to 47120584
04/03/22 09:33:00 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 10:52:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 12:14:58 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 13:37:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 15:00:37 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 16:24:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 17:46:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 19:09:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 20:28:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 21:52:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/03/22 23:14:31 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 00:35:47 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 01:57:47 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 03:18:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 04:39:44 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 06:00:08 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 07:23:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 08:44:40 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 10:04:29 v1.34.5 @ USER, nfs: commencing msieve filtering
04/04/22 10:21:18 v1.34.5 @ USER, nfs: raising min_rels by 5.00 percent to 49508914
04/04/22 10:21:18 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 11:42:51 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 13:06:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 14:29:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 15:51:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 17:14:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 18:36:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 19:58:53 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 21:19:43 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/04/22 22:38:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 00:02:36 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 01:25:19 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 02:47:23 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 04:09:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 05:31:46 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 06:52:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 08:13:35 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 09:35:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 10:58:09 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 12:20:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 13:58:09 v1.34.5 @ USER, nfs: commencing msieve filtering
04/05/22 14:16:17 v1.34.5 @ USER, nfs: raising min_rels by 5.00 percent to 52110594
04/05/22 14:16:17 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 15:38:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 16:59:56 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 18:22:33 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 19:46:04 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 21:09:57 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 22:32:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/05/22 23:54:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 01:14:15 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 02:35:04 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 03:57:45 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 05:19:22 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 06:40:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 08:02:06 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 09:23:29 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 10:45:14 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 12:08:11 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 13:30:49 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 14:49:48 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 16:12:01 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 17:36:07 v1.34.5 @ USER, nfs: commencing lattice sieving with 8 threads
04/06/22 18:57:31 v1.34.5 @ USER, nfs: commencing msieve filtering
04/06/22 19:23:40 v1.34.5 @ USER, nfs: commencing msieve linear algebra
04/09/22 00:23:09 v1.34.5 @ USER, nfs: commencing msieve sqrt
04/09/22 00:42:36 v1.34.5 @ USER, prp149 = 66139200449369478718793629881649465299657970128830673651024579134351429101013588937147809898333193903073717555804244264658839384211144252321459508077
04/09/22 00:42:36 v1.34.5 @ USER, prp73 = 3619976053463019631577021298957253380101558945037712201972916073519060731
04/09/22 00:42:37 v1.34.5 @ USER, NFS elapsed time = 1919053.6966 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10226-349

c184

composite cofactor 合成数の残り
1167478849517212831991747831540930515055615328474974665053231101436536048595544278635651856718812735636282256957371849525602100594327430488447375531003141316381265129846943213484780991<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:52:36 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 36 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:52:36 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 36 秒 (日本時間)

25×10227-349

c201

composite cofactor 合成数の残り
283832146109904750786995607078879090113790939204995377509841386527355561436609873620889484254563141390649787412531831156382874607812933620734126889933589570356662415494274713310732627150775680773380317<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:52:44 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 44 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 09:55:20 UTC 2024 年 8 月 24 日 (土) 18 時 55 分 20 秒 (日本時間)

25×10231-349

c180

composite cofactor 合成数の残り
327546358257451436750387131199908139072206147500324506357234356697116168674982620602256981409200207071110551451574522223981106586908107941539394703474454353053533175802991381787501<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:52:57 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 57 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:52:57 UTC 2024 年 2 月 27 日 (火) 2 時 52 分 57 秒 (日本時間)

25×10232-349

c146

name 名前Thomas Kozlowski
date 日付July 22, 2024 04:03:38 UTC 2024 年 7 月 22 日 (月) 13 時 3 分 38 秒 (日本時間)
composite number 合成数
75727013109023430843448548523386107851482306519282599776041699980821950445661393736548536656328878310938272415510391663729586854522783074449491051<146>
prime factors 素因数
18557344838880967825097904639215258178291475125589<50>
4080703019020358346585127462470695987932464450010558849947093418463826769971631951024338866221759<97>
factorization results 素因数分解の結果
18557344838880967825097904639215258178291475125589
4080703019020358346585127462470695987932464450010558849947093418463826769971631951024338866221759
software ソフトウェア
cado-nfs
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 22.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 13:40:19 UTC 2022 年 6 月 3 日 (金) 22 時 40 分 19 秒 (日本時間)
4511e64480Ignacio SantosJune 5, 2022 15:26:18 UTC 2022 年 6 月 6 日 (月) 0 時 26 分 18 秒 (日本時間)
5043e66454Ignacio SantosJune 9, 2022 10:09:30 UTC 2022 年 6 月 9 日 (木) 19 時 9 分 30 秒 (日本時間)

25×10233-349

c186

composite cofactor 合成数の残り
143276880443830086097364190708527054511749444537898385823540899790430000830392756077024159351078375608260341643672859111385409235514198052770994904452871533130825708952803067844122549121<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:53:09 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 9 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:53:09 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 9 秒 (日本時間)

25×10234-349

c199

composite cofactor 合成数の残り
1555199702849548643716166681702800876159362628595739816924690303797320929957427533137479194843053099969897002103751458116048767491265106590752237738103003859930415793416539265949768025151689546216463<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:53:19 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 19 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:53:19 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 19 秒 (日本時間)

25×10235-349

c172

composite cofactor 合成数の残り
2081856724088715558049347825747626600012182103611740668830249498773562021881484073971094793110239485155031826562040863630560460455950085938223034784892856577645891380692649<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:53:31 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 31 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:53:31 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 31 秒 (日本時間)

25×10236-349

c118

name 名前Markus Tervooren
date 日付May 30, 2022 19:38:37 UTC 2022 年 5 月 31 日 (火) 4 時 38 分 37 秒 (日本時間)
composite number 合成数
4317085231083134389558249269127713597932536769421560823113624421956147321123886737709730056399321145077877774753976557<118>
prime factors 素因数
26049783064693684787193354191218531796298653461<47>
165724421595443267121369241307448323512279482316586782069270098022588537<72>
factorization results 素因数分解の結果
Info:Complete Factorization / Discrete logarithm: Linear Algebra
Info:Linear Algebra: Total cpu/real time for bwc: 6078.36/154.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1638.95, WCT time 86.58, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Linear Algebra: Lingen CPU time 3790.69, WCT time 37.48
Info:Linear Algebra: Mksol: CPU time 603.11,  WCT time 24.96, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 16.1/2.59571
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 165724421595443267121369241307448323512279482316586782069270098022588537 26049783064693684787193354191218531796298653461
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 467/32.0422
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 694.4/162.869
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 156.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 581.97
Info:Polynomial Selection (root optimized): Rootsieve time: 579.93
Info:Generate Factor Base: Total cpu/real time for makefb: 5.58/0.256319
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 249.4/94.1034
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 93.9s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 64496.7
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 44069/35.020/42.092/48.910/1.085
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 33721/33.370/37.223/42.440/0.755
Info:Polynomial Selection (size optimized): Total time: 6231.23
Info:Filtering - Merging: Total cpu/real time for merge: 165.34/3.30261
Info:Filtering - Merging: Total cpu/real time for replay: 10.47/7.96065
Info:Generate Free Relations: Total cpu/real time for freerel: 143.85/5.02231
Info:Quadratic Characters: Total cpu/real time for characters: 16.1/2.59571
Info:Square Root: Total cpu/real time for sqrt: 467/32.0422
Info:Linear Algebra: Total cpu/real time for bwc: 6078.36/154.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1638.95, WCT time 86.58, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (11264 iterations)
Info:Linear Algebra: Lingen CPU time 3790.69, WCT time 37.48
Info:Linear Algebra: Mksol: CPU time 603.11,  WCT time 24.96, iteration CPU time 0, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (5632 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 800.99/74.0708
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 33420596
Info:Lattice Sieving: Average J: 1899.33 for 674962 special-q, max bucket fill -bkmult 1.0,1s:1.246580
Info:Lattice Sieving: Total time: 120139s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 251268/2491.84
Info:root: Cleaning up computation data in /tmp/cado.182kahbo
165724421595443267121369241307448323512279482316586782069270098022588537 26049783064693684787193354191218531796298653461

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10238-349

c221

composite cofactor 合成数の残り
19622024824988499802964827880243504574823945890177841053598091528462926191907348744599561223678311376416618371526825594649333382060002994352902962311700755339130943839286865059026112914349049716934366157511086690830045911<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:53:41 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 41 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 10:09:40 UTC 2024 年 8 月 24 日 (土) 19 時 9 分 40 秒 (日本時間)

25×10239-349

c228

composite cofactor 合成数の残り
134956939433894762614345619086250146123827631838923865372329982609212373459753685497224319378880593617598653934541609562544731185197902982507216389597071141526113598606638317741050636851532617455088877174683055196503254378691031<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:53:49 UTC 2024 年 2 月 27 日 (火) 2 時 53 分 49 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 10:25:23 UTC 2024 年 8 月 24 日 (土) 19 時 25 分 23 秒 (日本時間)

25×10241-349

c209

composite cofactor 合成数の残り
70438972298817410113504346900925123090929426694744503208931044000444395490577178930188879539951670404599709209730285239445703691873957391016775583098955528928763827647470873204504641293180481684683424003086847<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:54:09 UTC 2024 年 2 月 27 日 (火) 2 時 54 分 9 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 10:33:25 UTC 2024 年 8 月 24 日 (土) 19 時 33 分 25 秒 (日本時間)

25×10243-349

c180

composite cofactor 合成数の残り
314281356380029559445116433827245608527312861079436925045668715736342582035940747222500931540440819822985007955288676944720567660647908534393570447973388542528859675861594099737153<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:55:34 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 34 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:55:34 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 34 秒 (日本時間)

25×10246-349

c189

composite cofactor 合成数の残り
207204164783553223260626773398165312074173462212748856729751939495047452304352949154030143046236069290585565991657922672576753615396956828952536059605509888834054998164655471468238378933929<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:55:42 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 42 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:55:42 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 42 秒 (日本時間)

25×10247-349

c143

name 名前Bob Backstrom
date 日付June 15, 2022 11:53:21 UTC 2022 年 6 月 15 日 (水) 20 時 53 分 21 秒 (日本時間)
composite number 合成数
12023284420009979520561572624504040465354522319491839597509189395584166046376274592116145144208366622400510736141055395471028166561232048113171<143>
prime factors 素因数
2129241974473550673557263763672185128832553<43>
5646744035741970620681790367938198697893142225768516474248297936444658898229972454550466781437510107<100>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Input number is 12023284420009979520561572624504040465354522319491839597509189395584166046376274592116145144208366622400510736141055395471028166561232048113171 (143 digits)
Using B1=17170000, B2=58559441860, polynomial Dickson(12), sigma=1:3576827926
Step 1 took 34093ms
Step 2 took 14290ms
********** Factor found in step 2: 2129241974473550673557263763672185128832553
Found prime factor of 43 digits: 2129241974473550673557263763672185128832553
Prime cofactor 5646744035741970620681790367938198697893142225768516474248297936444658898229972454550466781437510107 has 100 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 3, 2022 13:17:31 UTC 2022 年 6 月 3 日 (金) 22 時 17 分 31 秒 (日本時間)
4511e64480Ignacio SantosJune 4, 2022 20:59:34 UTC 2022 年 6 月 5 日 (日) 5 時 59 分 34 秒 (日本時間)

25×10248-349

c232

composite cofactor 合成数の残り
1051582895956118625080864331647518130727390911314316511942679229332639472743764472857822013655207283195775332113719585768575275752904926907817154576332996274553788348296908989671526449392576917130957574829717448337500415770917809251<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:55:53 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 53 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 10:54:39 UTC 2024 年 8 月 24 日 (土) 19 時 54 分 39 秒 (日本時間)

25×10249-349

c224

name 名前Dmitry Domanov
date 日付August 31, 2022 19:47:01 UTC 2022 年 9 月 1 日 (木) 4 時 47 分 1 秒 (日本時間)
composite number 合成数
13579214893633834392064665429952578195087775239718713109041178730525022225300059536654585482751503708117535469052579472977830299322097813549972876192558837689243156027923958886787637575773555976626486160831291333032451223377<224>
prime factors 素因数
22303223663871384312837430930800053429<38>
composite cofactor 合成数の残り
608845389271263753407407468089128650644007920149151256932184383082805496383566884411681844822882033703428077887459890955147162245190039913432703296872183030991261178468106022266206967213<186>
factorization results 素因数分解の結果
Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 11:33:42 2022 
Input number is 13579214893633834392064665429952578195087775239718713109041178730525022225300059536654585482751503708117535469052579472977830299322097813549972876192558837689243156027923958886787637575773555976626486160831291333032451223377 (224 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2316508334
Step 1 took 0ms
Step 2 took 7640ms
********** Factor found in step 2: 22303223663871384312837430930800053429
Found prime factor of 38 digits: 22303223663871384312837430930800053429
Composite cofactor 608845389271263753407407468089128650644007920149151256932184383082805496383566884411681844822882033703428077887459890955147162245190039913432703296872183030991261178468106022266206967213 has 186 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 31, 2022 19:46:20 UTC 2022 年 9 月 1 日 (木) 4 時 46 分 20 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:55:59 UTC 2024 年 2 月 27 日 (火) 2 時 55 分 59 秒 (日本時間)

25×10250-349

c211

composite cofactor 合成数の残り
1943558833080998886074638252279619954936865904543400384339280563955895885486933052960727339179806178553205505062193309117986657804498645604951903494205460969584822556046734546644219733839275674596737894965765211<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovFebruary 26, 2024 17:56:06 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 6 秒 (日本時間)
2350Ignacio SantosAugust 24, 2024 11:07:13 UTC 2024 年 8 月 24 日 (土) 20 時 7 分 13 秒 (日本時間)

25×10251-349

c192

name 名前Dmitry Domanov
date 日付February 27, 2024 08:53:00 UTC 2024 年 2 月 27 日 (火) 17 時 53 分 0 秒 (日本時間)
composite number 合成数
206409993808798115841959841274363141746707340635719812195783198194711169336736749734068690862958502552150606988943007490124845158043932555576806588993818003374054724298572209511318568842144699<192>
prime factors 素因数
3258092785133471786867211675839023865622343933<46>
63353012765823449691806156868922871449931310723338923433553271891593905244874171057689580670403210556900794703467367026914734703364143520016001303<146>
factorization results 素因数分解の結果
Resuming ECM residue saved by @6fb394c34c9d with GMP-ECM 7.0.5-dev on Tue Feb 27 04:24:39 2024 
Input number is 206409993808798115841959841274363141746707340635719812195783198194711169336736749734068690862958502552150606988943007490124845158043932555576806588993818003374054724298572209511318568842144699 (192 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:356835524
Step 1 took 0ms
Step 2 took 8059ms
********** Factor found in step 2: 3258092785133471786867211675839023865622343933
Found prime factor of 46 digits: 3258092785133471786867211675839023865622343933
Prime cofactor 63353012765823449691806156868922871449931310723338923433553271891593905244874171057689580670403210556900794703467367026914734703364143520016001303 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:56:13 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 13 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:56:13 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 13 秒 (日本時間)

25×10252-349

c217

composite cofactor 合成数の残り
1476544901523954387660875551928593047171407161768691398950171975340093876611573605169772605463231239097786479514273472714305068416758055437257795941080789306165696725153513682746038379334387565953886697021599002091827<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:18 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 18 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:03:07 UTC 2024 年 9 月 28 日 (土) 22 時 3 分 7 秒 (日本時間)

25×10253-349

c226

composite cofactor 合成数の残り
1714291419140527540284028299014371182674544873991524060942156301472923090136513998343753364303126660113600296286069617415565139755493703160148136306371572393616185057347752517474247559958143651718834050693208377503923304859367<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621931792Dmitry DomanovFebruary 26, 2024 17:56:24 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 24 秒 (日本時間)
401Thomas KozlowskiSeptember 28, 2024 13:05:53 UTC 2024 年 9 月 28 日 (土) 22 時 5 分 53 秒 (日本時間)

25×10254-349

c237

composite cofactor 合成数の残り
149792143928334724356363794610510370472472189138641719685212429482771670657266664784300769261844076527123978141545348118031019937164529157169856211371464958662798879918302474045237504940935341769946322654809465985337400776214811821073031<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:33 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 33 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:08:59 UTC 2024 年 9 月 28 日 (土) 22 時 8 分 59 秒 (日本時間)

25×10256-349

c214

composite cofactor 合成数の残り
4221322212838975272763035880111316901027651162653100650466944510672423380548859700831352594474724321263770881727171337440174156186941860597738127325541514289198804335142031698155103177225923216619683813910392897801<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:38 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 38 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:11:44 UTC 2024 年 9 月 28 日 (土) 22 時 11 分 44 秒 (日本時間)

25×10257-349

c243

composite cofactor 合成数の残り
229671357599088282811022502616678032320241719033428383008000845177746968573746772787858008171936521729788021067477029102496732111657648488887570648302584389386239378180712690354562202032540154614642018804500960441430613976951540445859090571811<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:44 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 44 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:14:51 UTC 2024 年 9 月 28 日 (土) 22 時 14 分 51 秒 (日本時間)

25×10258-349

c229

composite cofactor 合成数の残り
7445409266826913103263924340050495843743667519713271846430128541439333940926770021298768333260963771887898334065796828670355652188531677546265906729570695533880389574338484486443713445138437984299473519944048103849649434866186887<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:48 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 48 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:17:38 UTC 2024 年 9 月 28 日 (土) 22 時 17 分 38 秒 (日本時間)

25×10259-349

c250

composite cofactor 合成数の残り
1565219266211637173293814374774442144596778253770585861662376168316832692719246317731604129230134953527317501114084788426191803305278305264840935669129923837815787801103094886844480949895616196424104149009090819781319106928301887838420941188250580167<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:53 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 53 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:20:49 UTC 2024 年 9 月 28 日 (土) 22 時 20 分 49 秒 (日本時間)

25×10260-349

c225

composite cofactor 合成数の残り
792451772781613640366600795602792516533784059023497312907846486587670245128728319882145264374792594111136648752406388147965758098408286555443061586332259221884080731151196411450785123057170374837475391735433631244640413057759<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:56:58 UTC 2024 年 2 月 27 日 (火) 2 時 56 分 58 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:23:36 UTC 2024 年 9 月 28 日 (土) 22 時 23 分 36 秒 (日本時間)

25×10261-349

c237

composite cofactor 合成数の残り
463788905908405552205323304673349220288803679111072677325033567275485383748060657089035783597648786767948400200261010900745610991738542172417397932608149081127904674096797888700495003181880429846338867941671605581695477845948403989620203<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:57:04 UTC 2024 年 2 月 27 日 (火) 2 時 57 分 4 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:26:45 UTC 2024 年 9 月 28 日 (土) 22 時 26 分 45 秒 (日本時間)

25×10263-349

c212

composite cofactor 合成数の残り
59064224679305740023936235906315661521008938108163490629867597891851292545203723502429899044271526284492494836559216777178323158223451588931531163530160450067233329670479063125934262392343157689471232770977726077<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:57:09 UTC 2024 年 2 月 27 日 (火) 2 時 57 分 9 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:29:16 UTC 2024 年 9 月 28 日 (土) 22 時 29 分 16 秒 (日本時間)

25×10264-349

c230

composite cofactor 合成数の残り
62435225185155817206450631016129168310709170224485529121555393174461984983085903300987661707666511554996733400527964274351964058615255905014457547833160296866132134076928904878058344000133103593950676383625297286739186678193677917<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:57:14 UTC 2024 年 2 月 27 日 (火) 2 時 57 分 14 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:32:03 UTC 2024 年 9 月 28 日 (土) 22 時 32 分 3 秒 (日本時間)

25×10265-349

c249

composite cofactor 合成数の残り
101086573427905538973330590680306976896049551250071213729371261732576960026303474546484706187115152698643906925431071311843114263533577683561886869643058820023366757255873684938223444027625677174146643172769905664101929546140048357670942200021773711<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:57:19 UTC 2024 年 2 月 27 日 (火) 2 時 57 分 19 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:35:12 UTC 2024 年 9 月 28 日 (土) 22 時 35 分 12 秒 (日本時間)

25×10266-349

c243

composite cofactor 合成数の残り
365998081838156891142484827655723835692382769881855181627341007032023717376310646256235690720474861308145242348562057972369793313439298981120167250929333078368413943456210734110830016546920326572483663660991145993957981653733676984475431413287<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:57:25 UTC 2024 年 2 月 27 日 (火) 2 時 57 分 25 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:38:21 UTC 2024 年 9 月 28 日 (土) 22 時 38 分 21 秒 (日本時間)

25×10267-349

c249

name 名前Dmitry Domanov
date 日付August 28, 2022 17:50:45 UTC 2022 年 8 月 29 日 (月) 2 時 50 分 45 秒 (日本時間)
composite number 合成数
294271386922409685805908386873114333583674413096952237920924267644598686339527298278065847100338232616347894237948759674565998572313120244935982079696683355410622589301096619163856831521235157697692956238846315902930825962982980507525524136386847303<249>
prime factors 素因数
854620011858922330148509436650794691<36>
344330091548320743958071393635500250288918950850058527532437540925325584583269831127037513428722920501551274170043911163169295095328072397514732910488439880016197237978268667348148257825477150418991831146510847533<213>
factorization results 素因数分解の結果
GPU: factor 854620011858922330148509436650794691 found in Step 1 with curve 1710 (-sigma 3:2095721595)
Computing 1792 Step 1 took 390ms of CPU time / 267852ms of GPU time
Throughput: 6.690 curves per second (on average 149.47ms per Step 1)
********** Factor found in step 1: 854620011858922330148509436650794691
Found prime factor of 36 digits: 854620011858922330148509436650794691
Prime cofactor 344330091548320743958071393635500250288918950850058527532437540925325584583269831127037513428722920501551274170043911163169295095328072397514732910488439880016197237978268667348148257825477150418991831146510847533 has 213 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10268-349

c251

composite cofactor 合成数の残り
24986506328807968261967138649084467369370548833664403011533106029195554499022466031430639701769781610928597061215333572592615393935942861914448821919756137136249967417495579639500228374128212267318542009376528097086094411333392524255119743084996253671<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:58:43 UTC 2024 年 2 月 27 日 (火) 2 時 58 分 43 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:41:39 UTC 2024 年 9 月 28 日 (土) 22 時 41 分 39 秒 (日本時間)

25×10269-349

c265

name 名前Seth Troisi
date 日付January 5, 2024 09:15:06 UTC 2024 年 1 月 5 日 (金) 18 時 15 分 6 秒 (日本時間)
composite number 合成数
1424253093192867796270279939793973244551092516062726385029163006336217160996430252047221396155428170358900385459857141717740382588562905840918905307678547216268844292676034833812452073883414059998655505080025932800320855736834489257143768664836786292532470122018611<265>
prime factors 素因数
5833561175159969995125122406933455653841<40>
244148137034632437874287325241993937890154400789629942278564131323430537239266900260740437467108470129719275037682679971947142689896793571527634446148576657501568593734353224707362877345162582368892147452849729049168740779971<225>
factorization results 素因数分解の結果
GMP-ECM 7.0.6-dev [configured with GMP 6.3.0, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/params.h
Running on sethtroisi-linux.sea.corp.google.com
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Fri Dec  1 15:04:48 2023
Input number is 1424253093192867796270279939793973244551092516062726385029163006336217160996430252047221396155428170358900385459857141717740382588562905840918905307678547216268844292676034833812452073883414059998655505080025932800320855736834489257143768664836786292532470122018611 (265 digits)
[Mon Dec 25 15:54:55 2023]
Using mpz_mod
Using lmax = 16777216 with NTT which takes about 6144MB of memory
Using B1=10000000000-10000000000, B2=10120522433628702, polynomial x^1
P = 596530935, l = 16777216, s_1 = 8294400, k = s_2 = 24, m_1 = 3
Probability of finding a factor of n digits (assuming one exists):
20   25      30      35      40      45      50      55      60      65
0.82    0.55    0.3     0.14    0.056   0.02    0.0064  0.0019  0.00052 0.00013
Step 1 took 0ms
Computing F from factored S_1 took 64234ms
Computing h took 9603ms
Computing DCT-I of h took 17321ms
Multi-point evaluation 1 of 24:
Computing g_i took 31287ms
Computing g*h took 34565ms
Computing gcd of coefficients and N took 10694ms
Multi-point evaluation 2 of 24:
Computing g_i took 30400ms
Computing g*h took 35074ms
Computing gcd of coefficients and N took 10995ms
Multi-point evaluation 3 of 24:
Computing g_i took 31004ms
Computing g*h took 34510ms
Computing gcd of coefficients and N took 10257ms
Multi-point evaluation 4 of 24:
Computing g_i took 31719ms
Computing g*h took 34468ms
Computing gcd of coefficients and N took 10378ms
Multi-point evaluation 5 of 24:
Computing g_i took 30472ms
Computing g*h took 33930ms
Computing gcd of coefficients and N took 10600ms
Multi-point evaluation 6 of 24:
Computing g_i took 30380ms
Computing g*h took 34251ms
Computing gcd of coefficients and N took 10322ms
Multi-point evaluation 7 of 24:
Computing g_i took 30867ms
Computing g*h took 34282ms
Computing gcd of coefficients and N took 9986ms
Step 2 took 622307ms
********** Factor found in step 2: 5833561175159969995125122406933455653841
Found prime factor of 40 digits: 5833561175159969995125122406933455653841
Prime cofactor 244148137034632437874287325241993937890154400789629942278564131323430537239266900260740437467108470129719275037682679971947142689896793571527634446148576657501568593734353224707362877345162582368892147452849729049168740779971 has 225 digits
Peak memory usage: 6194MB
software ソフトウェア
GMP-ECM 7.0.6, ecm-db 0.1
execution environment 実行環境
1080 Ti for PM1 stage1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10270-349

c251

name 名前Dmitry Domanov
date 日付August 31, 2022 08:57:08 UTC 2022 年 8 月 31 日 (水) 17 時 57 分 8 秒 (日本時間)
composite number 合成数
78381344470524830751972634385846726482780049298047469499550223269602429026726941599653607774895671497970391805774967213959420733901380253332818323446581107225581318428882758598609478902088730585567151991349144106973592114668790232740785208559081502519<251>
prime factors 素因数
57795463775232431074497208406174473<35>
composite cofactor 合成数の残り
1356185059356063817681674864498487590011921323298964964329470683833229946002419222470568322704229884124961125858132898634352277171673974288087950643433051844017848528779046353490479890046113811048271171208947243376703<217>
factorization results 素因数分解の結果
Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 12:46:16 2022 
Input number is 78381344470524830751972634385846726482780049298047469499550223269602429026726941599653607774895671497970391805774967213959420733901380253332818323446581107225581318428882758598609478902088730585567151991349144106973592114668790232740785208559081502519 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1916071812
Step 1 took 0ms
Step 2 took 9608ms
********** Factor found in step 2: 57795463775232431074497208406174473
Found prime factor of 35 digits: 57795463775232431074497208406174473
Composite cofactor 1356185059356063817681674864498487590011921323298964964329470683833229946002419222470568322704229884124961125858132898634352277171673974288087950643433051844017848528779046353490479890046113811048271171208947243376703 has 217 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovAugust 31, 2022 08:56:56 UTC 2022 年 8 月 31 日 (水) 17 時 56 分 56 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:44:25 UTC 2024 年 9 月 28 日 (土) 22 時 44 分 25 秒 (日本時間)

25×10271-349

c244

composite cofactor 合成数の残り
7686975081665702869599935081168897353962525981522843994846653940897586172699398285765468178168738427125846318361361018538909376128793530306261497165279729200467442802130937952202272179778567844839136803764360081493072665779309755283636121828763<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:58:53 UTC 2024 年 2 月 27 日 (火) 2 時 58 分 53 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:47:32 UTC 2024 年 9 月 28 日 (土) 22 時 47 分 32 秒 (日本時間)

25×10274-349

c225

composite cofactor 合成数の残り
352783622394267978415709969834085066026074393009612379661748068461521364367768674195395565710257045986400382833317887650800431278837338042745256682523510598135984399874106169121922798019802295550290514277132886932069795761571<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:58:58 UTC 2024 年 2 月 27 日 (火) 2 時 58 分 58 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:50:17 UTC 2024 年 9 月 28 日 (土) 22 時 50 分 17 秒 (日本時間)

25×10276-349

c242

name 名前Dmitry Domanov
date 日付August 28, 2022 17:51:16 UTC 2022 年 8 月 29 日 (月) 2 時 51 分 16 秒 (日本時間)
composite number 合成数
17677768002925034444048568642331261137692519000359092587865028650212000791129650798811639052960035564240268160423951151643889504517626363721495648823140591265291609820082838743223406171740453091272503726567867360175679230041889609133358804331<242>
prime factors 素因数
1355529687321693040294851675844139<34>
composite cofactor 合成数の残り
13041225262910647740061495236460743212354091312199197642425266813076541710964598639799383054850211053475438884356224088983878742250596261874197192796670932363020003876882444961177856043483200285259226346593729<209>
factorization results 素因数分解の結果
GPU: factor 1355529687321693040294851675844139 found in Step 1 with curve 1390 (-sigma 3:-1567406323)
GPU: factor 1355529687321693040294851675844139 found in Step 1 with curve 1712 (-sigma 3:-1567406001)
Computing 1792 Step 1 took 352ms of CPU time / 267710ms of GPU time
Throughput: 6.694 curves per second (on average 149.39ms per Step 1)
********** Factor found in step 1: 1355529687321693040294851675844139
Found prime factor of 34 digits: 1355529687321693040294851675844139
Composite cofactor 13041225262910647740061495236460743212354091312199197642425266813076541710964598639799383054850211053475438884356224088983878742250596261874197192796670932363020003876882444961177856043483200285259226346593729 has 209 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62192179Dmitry DomanovFebruary 26, 2024 17:59:04 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 4 秒 (日本時間)
1613Dmitry DomanovFebruary 26, 2024 17:59:24 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 24 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:52:45 UTC 2024 年 9 月 28 日 (土) 22 時 52 分 45 秒 (日本時間)

25×10278-349

c251

composite cofactor 合成数の残り
59743017178539502138736218338091103748703161998792130390691090768144250175252021264002097960238431063632824109194254070453871531722522611165131736862434217247468506949160017801427073270828653478621871973636369138957491724585462403436463834777716822359<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:59:30 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 30 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:56:15 UTC 2024 年 9 月 28 日 (土) 22 時 56 分 15 秒 (日本時間)

25×10279-349

c196

composite cofactor 合成数の残り
6521575688287767074073230837249703025546934329693627754330119470285502150769023162742029288489979696793709730073047202299446982781079910639856259241276768381012480484554543972307316697817257454211<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovFebruary 26, 2024 17:59:44 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 44 秒 (日本時間)
4511e61792 / 4038Dmitry DomanovFebruary 26, 2024 17:59:44 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 44 秒 (日本時間)

25×10280-349

c248

composite cofactor 合成数の残り
11736183405343493500631923489312925189816856895367345356155484551485227829215439821068008916849076921679977227557454727595331314667114995460647400190982821674223884827952061944335360060785434869416674747996969669594859842365002851853286980363206217<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:59:49 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 49 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 13:59:20 UTC 2024 年 9 月 28 日 (土) 22 時 59 分 20 秒 (日本時間)

25×10281-349

c276

composite cofactor 合成数の残り
137213918584725148995105634409650287825404180062861538093382963058829754080824267060876766203838630723645350100215557577539859820065351147432184216162196950711552961883180899646899190470811690581954964635582335321617899193434632332012018182929864038570064116222164921689821241<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:59:54 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 54 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:03:11 UTC 2024 年 9 月 28 日 (土) 23 時 3 分 11 秒 (日本時間)

25×10282-349

c261

composite cofactor 合成数の残り
421617492102547125425184443954235723411427477482890024474417478703864317143453303699810734570212079327228066797172319483227237102858337129955648019034386463234656510994863937616519345607288165063637443899118692823726154239553804525028230080168786685782363729667<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 17:59:59 UTC 2024 年 2 月 27 日 (火) 2 時 59 分 59 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:06:41 UTC 2024 年 9 月 28 日 (土) 23 時 6 分 41 秒 (日本時間)

25×10283-349

c274

composite cofactor 合成数の残り
7390322153216200621017792640041984521843254063982922625192905241046298546900662903838736217328760138842010671309829417271655036792500973089777978142773053921991504292936418409174072963888055702491270863787635218743092027545499376057064641395540115713432280981451598772977529<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:04 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 4 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:10:30 UTC 2024 年 9 月 28 日 (土) 23 時 10 分 30 秒 (日本時間)

25×10284-349

c228

composite cofactor 合成数の残り
196514484382146661851226284989626885281957031760776869811930536991509387006723730354466840091422320876776692791223366430563839032170611690117951979600107847294130073602330005667688688720481535840954849487167061170897702227659603<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:11 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 11 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:13:18 UTC 2024 年 9 月 28 日 (土) 23 時 13 分 18 秒 (日本時間)

25×10285-349

c239

composite cofactor 合成数の残り
17308433012518047143989227797890149832776312056550664582875383333137945424854060247916082291689626448754961123105531706950941550183965339417839303693352580773089720601079759595857215914525229111206483232696157006116000289424189741605027021<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:16 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 16 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:16:25 UTC 2024 年 9 月 28 日 (土) 23 時 16 分 25 秒 (日本時間)

25×10286-349

c286

name 名前Dmitry Domanov
date 日付February 18, 2024 17:23:19 UTC 2024 年 2 月 19 日 (月) 2 時 23 分 19 秒 (日本時間)
composite number 合成数
4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<286>
prime factors 素因数
11440540628984680116374565306599305691<38>
composite cofactor 合成数の残り
404668780940337247786236774106779787343356818530813053445219034849097970142476946420952557467158605308816094319122292511097118669666192508104049436743313062871218227462255206277041566811838020324209803552630753921398062336986991637018576531576136519<249>
factorization results 素因数分解の結果
Resuming ECM residue saved by @04a0bebd60d1 with GMP-ECM 7.0.5-dev on Sat Feb 17 15:07:40 2024 
Input number is 4629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629 (286 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:394781080
Step 1 took 0ms
Step 2 took 4183ms
********** Factor found in step 2: 11440540628984680116374565306599305691
Found prime factor of 38 digits: 11440540628984680116374565306599305691
Composite cofactor 404668780940337247786236774106779787343356818530813053445219034849097970142476946420952557467158605308816094319122292511097118669666192508104049436743313062871218227462255206277041566811838020324209803552630753921398062336986991637018576531576136519 has 249 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 18, 2024 17:23:11 UTC 2024 年 2 月 19 日 (月) 2 時 23 分 11 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:19:32 UTC 2024 年 9 月 28 日 (土) 23 時 19 分 32 秒 (日本時間)

25×10287-349

c225

composite cofactor 合成数の残り
375483317970981659118860267414104579007536699150598267448423923380991535452814666400653537640517139332238922124067616579220908746150383989564152766766037265174031080150497002519744758996120715265744510469100041805779439419933<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:25 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 25 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:22:17 UTC 2024 年 9 月 28 日 (土) 23 時 22 分 17 秒 (日本時間)

25×10288-349

c268

composite cofactor 合成数の残り
1580749038922244003696020512165041103355103016195991043031281122771925713170498712093537597457986914835852166170391015240117086372737650412975195416314285035911222686469970904638787926665616781685823902210447127946865468444841495507504807449251208341951348342645011443<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:31 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 31 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:25:48 UTC 2024 年 9 月 28 日 (土) 23 時 25 分 48 秒 (日本時間)

25×10290-349

c242

name 名前Dmitry Domanov
date 日付February 18, 2024 17:22:20 UTC 2024 年 2 月 19 日 (月) 2 時 22 分 20 秒 (日本時間)
composite number 合成数
12608538863365153448344157377259882780949836453496180337640857737981041407464263687413795920275109088265129409469164786586576289230875425024761172061817676910590806649014477924813661383182520538244916552410848697992966376828000975830499481757<242>
prime factors 素因数
4815305091558684261629846143042149640669<40>
composite cofactor 合成数の残り
2618429907061994271691251483488735665683560632464333764875156339707080281606484078660080778556755297600526389793601192339185589302569912784227379378137683881710866426778111495587999917486001403750882753<202>
factorization results 素因数分解の結果
Resuming ECM residue saved by @04a0bebd60d1 with GMP-ECM 7.0.5-dev on Sat Feb 17 13:24:03 2024 
Input number is 12608538863365153448344157377259882780949836453496180337640857737981041407464263687413795920275109088265129409469164786586576289230875425024761172061817676910590806649014477924813661383182520538244916552410848697992966376828000975830499481757 (242 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:298559431
Step 1 took 0ms
Step 2 took 3381ms
********** Factor found in step 2: 4815305091558684261629846143042149640669
Found prime factor of 40 digits: 4815305091558684261629846143042149640669
Composite cofactor 2618429907061994271691251483488735665683560632464333764875156339707080281606484078660080778556755297600526389793601192339185589302569912784227379378137683881710866426778111495587999917486001403750882753 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 18, 2024 17:22:14 UTC 2024 年 2 月 19 日 (月) 2 時 22 分 14 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:28:15 UTC 2024 年 9 月 28 日 (土) 23 時 28 分 15 秒 (日本時間)

25×10291-349

c253

composite cofactor 合成数の残り
4336979383462271913708334742934283212652148373855766070391937099848129345402811912618899848010002442204496628951761019649151454471956977446112617330748945096508713766454178086033792903371447433071938091758873764933479534576452657600489971093242793508107<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:41 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 41 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:31:43 UTC 2024 年 9 月 28 日 (土) 23 時 31 分 43 秒 (日本時間)

25×10292-349

c275

composite cofactor 合成数の残り
25836660887539463244052158179630441728495360099352181929554950436416684399879446407138510292189608643520646673155723688606196473061938148222776418710884592951506822735140607928801544725836396154784225834538242863227031767211546617805119132085670361291792968856915529834787443<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:46 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 46 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:35:33 UTC 2024 年 9 月 28 日 (土) 23 時 35 分 33 秒 (日本時間)

25×10293-349

c202

composite cofactor 合成数の残り
7672303582769478995299554898176530669757463614371438343726316974653766831356965832274948620379101036209767514894267197076434268032774786266252438623168528323068306826746369911397497096169993285826866281<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:51 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 51 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:38:00 UTC 2024 年 9 月 28 日 (土) 23 時 38 分 0 秒 (日本時間)

25×10294-349

c295

composite cofactor 合成数の残り
1388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:00:57 UTC 2024 年 2 月 27 日 (火) 3 時 0 分 57 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:42:17 UTC 2024 年 9 月 28 日 (土) 23 時 42 分 17 秒 (日本時間)

25×10295-349

c281

name 名前Thomas Kozlowski
date 日付September 28, 2024 17:15:22 UTC 2024 年 9 月 29 日 (日) 2 時 15 分 22 秒 (日本時間)
composite number 合成数
88322086979888419277313860758567356696976139338402161197688299269992915913040966472667106404820568479081259494891623779413556657321281867997133557016120550900981744780798854992874899090019736822477113012567171249649007673197540504015495731512031883253254825780703564913337430700083<281>
prime factors 素因数
2276543789878259475935434850251235357414971<43>
38796568452835046872816259292040265319819304464387362261286679754849722372565514125268645282118858796320143693857146934140853325888274291129490544525832160896399506935137106225939380512283033726976365980414545359442075456170161644306503273<239>
factorization results 素因数分解の結果
GMP-ECM 7.0.6 [configured with GMP 6.3.0, --enable-asm-redc] [ECM]
Input number is 88322086979888419277313860758567356696976139338402161197688299269992915913040966472667106404820568479081259494891623779413556657321281867997133557016120550900981744780798854992874899090019736822477113012567171249649007673197540504015495731512031883253254825780703564913337430700083 (281 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2179986872
Step 1 took 19729ms
Step 2 took 5764ms
Run 2 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4013391170
Step 1 took 14970ms
Step 2 took 5779ms
Run 3 out of 0:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4206484727
Step 1 took 15072ms
Step 2 took 5751ms
** Factor found in step 2: 2276543789878259475935434850251235357414971
Found prime factor of 43 digits: 2276543789878259475935434850251235357414971
Prime cofactor 38796568452835046872816259292040265319819304464387362261286679754849722372565514125268645282118858796320143693857146934140853325888274291129490544525832160896399506935137106225939380512283033726976365980414545359442075456170161644306503273 has 239 digits
execution environment 実行環境
2x Xeon E5-2698v4, 256GB DDR4, Ubuntu Server 24.04

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovFebruary 26, 2024 18:01:00 UTC 2024 年 2 月 27 日 (火) 3 時 1 分 0 秒 (日本時間)

25×10296-349

c289

name 名前Dmitry Domanov
date 日付August 31, 2022 08:55:00 UTC 2022 年 8 月 31 日 (水) 17 時 55 分 0 秒 (日本時間)
composite number 合成数
6397385755907398465568090183772992134035487875103868594871488112226810069032756677587413584688973920893192968138925710961822740692977005702368649477013970350000411735747250200165243962284227629773746523999641684982765928974902917496042948219769525938310582361548685899429421258757502911591<289>
prime factors 素因数
849594094879123174738991160880992344779<39>
7529931992780143721793000089045621883161425086596919092404937944333928683372218474373085297433135244654360155889988922943811123189585192350177290534868310105380632724724397747980992370625045734732525018382093644244402695850439876124337072806325747029<250>
factorization results 素因数分解の結果
Resuming ECM residue saved by @48769aff142e with GMP-ECM 7.0.5-dev on Sun Aug 28 14:12:10 2022 
Input number is 6397385755907398465568090183772992134035487875103868594871488112226810069032756677587413584688973920893192968138925710961822740692977005702368649477013970350000411735747250200165243962284227629773746523999641684982765928974902917496042948219769525938310582361548685899429421258757502911591 (289 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2499978729
Step 1 took 0ms
Step 2 took 4972ms
********** Factor found in step 2: 849594094879123174738991160880992344779
Found prime factor of 39 digits: 849594094879123174738991160880992344779
Prime cofactor 7529931992780143721793000089045621883161425086596919092404937944333928683372218474373085297433135244654360155889988922943811123189585192350177290534868310105380632724724397747980992370625045734732525018382093644244402695850439876124337072806325747029 has 250 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)

25×10297-349

c287

composite cofactor 合成数の残り
22018531556198653491216816959813358777655148065819231636829590038653158554078115870037605998975630788952560199117398770387316897835516005812313655643427229133214030683497113671183076686517898466979393436342803793778467584875081795777770017534809425683415272295456244735478944357570047233<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e621921792Dmitry DomanovFebruary 26, 2024 18:01:06 UTC 2024 年 2 月 27 日 (火) 3 時 1 分 6 秒 (日本時間)
400Thomas KozlowskiSeptember 28, 2024 14:47:21 UTC 2024 年 9 月 28 日 (土) 23 時 47 分 21 秒 (日本時間)

25×10299-349

c182

composite cofactor 合成数の残り
10079096124574916685477676058182110231263170610449907371619731987311752875593347768856232436238581551637012351661910112152486353786748089477903678852818810528238182680082632983812033<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 4, 2022 11:54:49 UTC 2022 年 6 月 4 日 (土) 20 時 54 分 49 秒 (日本時間)
4511e64480Ignacio SantosJune 8, 2022 10:20:05 UTC 2022 年 6 月 8 日 (水) 19 時 20 分 5 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 23, 2024 20:29:44 UTC 2024 年 4 月 24 日 (水) 5 時 29 分 44 秒 (日本時間)

25×10300-349

c275

composite cofactor 合成数の残り
33752016980977133613863027977054734139748304369892381621276386876774530705047166313781988560925577643012471465118119586321001495101386780629486195427530233406738482830864149428502188322011728654644879134171452750008574609353973931046794909863077665631136489029117527717732099<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 29, 2022 05:00:00 UTC 2022 年 5 月 29 日 (日) 14 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 30, 2022 22:48:19 UTC 2022 年 5 月 31 日 (火) 7 時 48 分 19 秒 (日本時間)
4511e63584Dmitry DomanovJune 1, 2022 23:54:04 UTC 2022 年 6 月 2 日 (木) 8 時 54 分 4 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovJune 1, 2022 23:54:04 UTC 2022 年 6 月 2 日 (木) 8 時 54 分 4 秒 (日本時間)