Table of contents 目次

25×10132-529

c113

name 名前Ignacio Santos
date 日付April 14, 2022 17:10:59 UTC 2022 年 4 月 15 日 (金) 2 時 10 分 59 秒 (日本時間)
composite number 合成数
35626215828633114040833250071844495550096295582158574210944910983122747058220719397588175674395594127234746654107<113>
prime factors 素因数
22425725819654131517589731041738826579<38>
1588631561588519038985955410932621918496808891432454700920138926109027163033<76>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2828364458
Step 1 took 3484ms
Step 2 took 2579ms
********** Factor found in step 2: 22425725819654131517589731041738826579
Found prime factor of 38 digits: 22425725819654131517589731041738826579
Prime cofactor 1588631561588519038985955410932621918496808891432454700920138926109027163033 has 76 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10139-529

c126

name 名前Ignacio Santos
date 日付April 14, 2022 22:39:24 UTC 2022 年 4 月 15 日 (金) 7 時 39 分 24 秒 (日本時間)
composite number 合成数
414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479<126>
prime factors 素因数
1749019309140649639068282388002009771754041731<46>
237056335996903137147816548484972305410682500877901077732332057386791368539664909<81>
factorization results 素因数分解の結果
N=414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479
  ( 126 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=1749019309140649639068282388002009771754041731 (pp46)
 r2=237056335996903137147816548484972305410682500877901077732332057386791368539664909 (pp81)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.11 hours.
Scaled time: 40.43 units (timescale=7.911).
Factorization parameters were as follows:
n: 414616109012717239171020234560634481613513845455811524551894577864984287084729384251747596964853772000591522953333709142317479
m: 50000000000000000000000000000000000
deg: 4
c4: 10
c0: -13
skew: 1.07
# Murphy_E = 5.216e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 170949 x 171176
Total sieving time: 5.08 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,139.000,4,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,100000
total time: 5.11 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10140-529

c116

name 名前Ignacio Santos
date 日付April 16, 2022 22:39:17 UTC 2022 年 4 月 17 日 (日) 7 時 39 分 17 秒 (日本時間)
composite number 合成数
23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081<116>
prime factors 素因数
16054832685241536497885187724471765575437133268673<50>
1476679696923802536224559814302603358882582241592871233479108718697<67>
factorization results 素因数分解の結果
N=23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081
  ( 116 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=16054832685241536497885187724471765575437133268673 (pp50)
 r2=1476679696923802536224559814302603358882582241592871233479108718697 (pp67)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.93 hours.
Scaled time: 22.89 units (timescale=7.819).
Factorization parameters were as follows:
n: 23707845463804830955557095087615999885114122675122906981322049115156962746721298510098419827177519599837752479479081
m: 10000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 3.914e-09
type: snfs
lss: 1
rlim: 1590000
alim: 1590000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1590000/1590000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [795000, 1395001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209091 x 209319
Total sieving time: 2.89 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1590000,1590000,26,26,48,48,2.3,2.3,100000
total time: 2.93 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10150-529

c150

name 名前ivelive
date 日付April 15, 2022 09:04:00 UTC 2022 年 4 月 15 日 (金) 18 時 4 分 0 秒 (日本時間)
composite number 合成数
231481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<150>
prime factors 素因数
50288852442854005047983706310323649537<38>
4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513<112>
factorization results 素因数分解の結果
04/15/22 16:17:06 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:24:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:31:01 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:38:12 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:45:19 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:52:32 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 16:59:16 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:06:36 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:13:41 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:20:51 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:28:28 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:36:00 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:43:11 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:50:48 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing lattice sieving with 8 threads
04/15/22 17:58:18 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve filtering
04/15/22 17:59:52 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve linear algebra
04/15/22 18:02:33 v1.34.5 @ DESKTOP-RJPVCOL, nfs: commencing msieve sqrt
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp38 = 50288852442854005047983706310323649537
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, prp112 = 4603037656198789744636913960288725903643383590655830731777223818871832979559680852882084887564090675713757237513
04/15/22 18:03:28 v1.34.5 @ DESKTOP-RJPVCOL, NFS elapsed time = 6381.5522 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10152-529

c95

name 名前Ignacio Santos
date 日付April 14, 2022 15:20:41 UTC 2022 年 4 月 15 日 (金) 0 時 20 分 41 秒 (日本時間)
composite number 合成数
94542674343093736246619200119876143789339484731607396467548084648163044465874355553256639106839<95>
prime factors 素因数
19602736845352741275909813036026381494654009<44>
4822932383827167013317177910280769888552746778385871<52>
factorization results 素因数分解の結果
prp52 = 4822932383827167013317177910280769888552746778385871
prp44 = 19602736845352741275909813036026381494654009
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10154-529

c115

name 名前Ignacio Santos
date 日付April 17, 2022 09:26:50 UTC 2022 年 4 月 17 日 (日) 18 時 26 分 50 秒 (日本時間)
composite number 合成数
1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723<115>
prime factors 素因数
54630485100991902328464355695996410846077143949<47>
21356317214767672270112488363025415628365955005845192445730306564927<68>
factorization results 素因数分解の結果
N=1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723
  ( 115 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=54630485100991902328464355695996410846077143949 (pp47)
 r2=21356317214767672270112488363025415628365955005845192445730306564927 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.37 hours.
Scaled time: 65.23 units (timescale=7.794).
Factorization parameters were as follows:
n: 1166705969413422200686814928488232554261490104107189435997538487691584603204061230073765899789391870035641093676723
m: 5000000000000000000000000000000
deg: 5
c5: 20
c0: -13
skew: 0.92
# Murphy_E = 1.303e-09
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 1950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456185 x 456411
Total sieving time: 8.28 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,154.000,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 8.37 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10155-529

c136

name 名前Ignacio Santos
date 日付April 17, 2022 22:24:38 UTC 2022 年 4 月 18 日 (月) 7 時 24 分 38 秒 (日本時間)
composite number 合成数
4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369<136>
prime factors 素因数
3432854365078003647840760261161254247202265497153<49>
1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473<88>
factorization results 素因数分解の結果
N=4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369
  ( 136 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=3432854365078003647840760261161254247202265497153 (pp49)
 r2=1407236075689880866576570267615540671975187388886643398855763357842988448247574678454473 (pp88)
Version: Msieve v. 1.52 (SVN 927)
Total time: 9.58 hours.
Scaled time: 74.70 units (timescale=7.800).
Factorization parameters were as follows:
n: 4830836505127247466434288769014282609713898809729206212104367580559956286492646011365897696527711390102698620647927871360919099021615369
m: 10000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 1.062e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 432305 x 432532
Total sieving time: 9.50 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,156.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 9.58 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10156-529

c126

name 名前Ignacio Santos
date 日付April 20, 2022 21:45:49 UTC 2022 年 4 月 21 日 (木) 6 時 45 分 49 秒 (日本時間)
composite number 合成数
157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439<126>
prime factors 素因数
350973600490655309543559288018697549622181730859<48>
448877370559576852380442589085153797505355507507957772543832581460508022246621<78>
factorization results 素因数分解の結果
N=157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439
  ( 126 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=350973600490655309543559288018697549622181730859 (pp48)
 r2=448877370559576852380442589085153797505355507507957772543832581460508022246621 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.77 hours.
Scaled time: 84.61 units (timescale=7.855).
Factorization parameters were as follows:
n: 157544106924072767555640652447579241339968429400254720655167568345710584311690276253369142628808794455314281666786531544177439
m: 10000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 1.031e-09
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 2250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 366771 x 366997
Total sieving time: 10.71 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,157.000,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 10.77 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 22:20:05 UTC 2022 年 4 月 19 日 (火) 7 時 20 分 5 秒 (日本時間)

25×10157-529

c104

name 名前Ignacio Santos
date 日付April 14, 2022 16:07:08 UTC 2022 年 4 月 15 日 (金) 1 時 7 分 8 秒 (日本時間)
composite number 合成数
34363908865400265737904696311757002709919840522501094832370400212387294006323196852410119430236648630407<104>
prime factors 素因数
123166553805903420152890091890062688732849<42>
279003575268931413496556716732381402434249751487500118808617143<63>
factorization results 素因数分解の結果
prp63 = 279003575268931413496556716732381402434249751487500118808617143
prp42 = 123166553805903420152890091890062688732849
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10158-529

c158

name 名前Bob Backstrom
date 日付April 16, 2022 12:37:47 UTC 2022 年 4 月 16 日 (土) 21 時 37 分 47 秒 (日本時間)
composite number 合成数
69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443<158>
prime factors 素因数
13891076233410262490080896159834355713136658045138899965679859140573<68>
4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191<91>
factorization results 素因数分解の結果
Number: n
N=69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443  ( 158 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Apr 16 22:31:31 2022  p68 factor: 13891076233410262490080896159834355713136658045138899965679859140573
Sat Apr 16 22:31:31 2022  p91 factor: 4999212679966397172526224672408388508409802347553344530875786210283067597005846000880015191
Sat Apr 16 22:31:31 2022  elapsed time 00:06:26 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.339).
Factorization parameters were as follows:
#
# N = 25x10^158-52 = 27(157)2
#
n: 69444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444443
m: 50000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 1.026e-09
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 1594213 hash collisions in 15868558 relations (15315508 unique)
Msieve: matrix is 334146 x 334371 (110.9 MB)

Sieving start time : 2022/04/16 21:52:34
Sieving end time  : 2022/04/16 22:16:05

Total sieving time: 0hrs 23min 31secs.

Total relation processing time: 0hrs 1min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10160-529

c120

name 名前Ignacio Santos
date 日付April 23, 2022 12:16:21 UTC 2022 年 4 月 23 日 (土) 21 時 16 分 21 秒 (日本時間)
composite number 合成数
100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133<120>
prime factors 素因数
9737502429462733599240510665712811113594112387<46>
10348500584174150435457097455563023008067059829066086664142410239284099959<74>
factorization results 素因数分解の結果
N=100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133
  ( 120 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=9737502429462733599240510665712811113594112387 (pp46)
 r2=10348500584174150435457097455563023008067059829066086664142410239284099959 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.73 hours.
Scaled time: 107.50 units (timescale=7.831).
Factorization parameters were as follows:
n: 100768549579692307746332326037230275641818626717931498174699662999412450066593034066596923808014773005172362164788092133
m: 100000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 6.804e-10
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 550265 x 550494
Total sieving time: 13.61 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 13.73 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:59:04 UTC 2022 年 4 月 19 日 (火) 6 時 59 分 4 秒 (日本時間)

25×10161-529

c136

name 名前Ignacio Santos
date 日付April 23, 2022 13:50:20 UTC 2022 年 4 月 23 日 (土) 22 時 50 分 20 秒 (日本時間)
composite number 合成数
2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921<136>
prime factors 素因数
2845107736980614698882140412945517186014374836336713<52>
883627652164329895871085261279770980016535290955120718668689167378392778221698087617<84>
factorization results 素因数分解の結果
N=2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921
  ( 136 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=2845107736980614698882140412945517186014374836336713 (pp52)
 r2=883627652164329895871085261279770980016535290955120718668689167378392778221698087617 (pp84)
Version: Msieve v. 1.52 (SVN 927)
Total time: 13.63 hours.
Scaled time: 107.97 units (timescale=7.924).
Factorization parameters were as follows:
n: 2514015869782750394049956204764973193182001944166126154379470970305245058076022683983812756588772417544105819895209334946370633987782921
m: 100000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 6.606e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 2750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 556909 x 557139
Total sieving time: 13.52 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 13.63 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:59:41 UTC 2022 年 4 月 19 日 (火) 6 時 59 分 41 秒 (日本時間)

25×10167-529

c136

name 名前ebina
date 日付April 21, 2022 21:52:51 UTC 2022 年 4 月 22 日 (金) 6 時 52 分 51 秒 (日本時間)
composite number 合成数
2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379<136>
prime factors 素因数
7834593466121883208409388094334646738729362536912087<52>
274818911193647325716553815356896178703404253756768680481831328279419414583762014717<84>
factorization results 素因数分解の結果
Fri Apr 22 02:25:04 2022  Msieve v. 1.53 (SVN unknown)
Fri Apr 22 02:25:04 2022  random seeds: 91acf7f4 c9860d7a
Fri Apr 22 02:25:04 2022  factoring 2153094446004479409395142725452153533385803022473170108439152061827844090268712045583640081580060241307676116936190906209920187029184379 (136 digits)
Fri Apr 22 02:25:06 2022  searching for 15-digit factors
Fri Apr 22 02:25:08 2022  commencing number field sieve (136-digit input)
Fri Apr 22 02:25:08 2022  R0: -5000000000000000000000000000000000
Fri Apr 22 02:25:08 2022  R1: 1
Fri Apr 22 02:25:08 2022  A0: -65
Fri Apr 22 02:25:08 2022  A1: 0
Fri Apr 22 02:25:08 2022  A2: 0
Fri Apr 22 02:25:08 2022  A3: 0
Fri Apr 22 02:25:08 2022  A4: 0
Fri Apr 22 02:25:08 2022  A5: 1
Fri Apr 22 02:25:08 2022  skew 2.30, size 1.574e-11, alpha -0.273, combined = 4.158e-10 rroots = 1
Fri Apr 22 02:25:08 2022  
Fri Apr 22 02:25:08 2022  commencing square root phase
Fri Apr 22 02:25:08 2022  reading relations for dependency 1
Fri Apr 22 02:25:09 2022  read 352996 cycles
Fri Apr 22 02:25:10 2022  cycles contain 1200256 unique relations
Fri Apr 22 02:25:33 2022  read 1200256 relations
Fri Apr 22 02:25:42 2022  multiplying 1200256 relations
Fri Apr 22 02:26:27 2022  multiply complete, coefficients have about 26.66 million bits
Fri Apr 22 02:26:28 2022  initial square root is modulo 45223231
Fri Apr 22 02:27:27 2022  Newton iteration failed to converge
Fri Apr 22 02:27:27 2022  algebraic square root failed
Fri Apr 22 02:27:27 2022  reading relations for dependency 2
Fri Apr 22 02:27:27 2022  read 353098 cycles
Fri Apr 22 02:27:28 2022  cycles contain 1199658 unique relations
Fri Apr 22 02:27:53 2022  read 1199658 relations
Fri Apr 22 02:28:01 2022  multiplying 1199658 relations
Fri Apr 22 02:28:45 2022  multiply complete, coefficients have about 26.64 million bits
Fri Apr 22 02:28:45 2022  initial square root is modulo 44867071
Fri Apr 22 02:29:45 2022  Newton iteration failed to converge
Fri Apr 22 02:29:45 2022  algebraic square root failed
Fri Apr 22 02:29:45 2022  reading relations for dependency 3
Fri Apr 22 02:29:45 2022  read 353685 cycles
Fri Apr 22 02:29:46 2022  cycles contain 1202082 unique relations
Fri Apr 22 02:30:11 2022  read 1202082 relations
Fri Apr 22 02:30:19 2022  multiplying 1202082 relations
Fri Apr 22 02:31:01 2022  multiply complete, coefficients have about 26.70 million bits
Fri Apr 22 02:31:02 2022  initial square root is modulo 46440631
Fri Apr 22 02:32:07 2022  Newton iteration failed to converge
Fri Apr 22 02:32:07 2022  algebraic square root failed
Fri Apr 22 02:32:07 2022  reading relations for dependency 4
Fri Apr 22 02:32:07 2022  read 353226 cycles
Fri Apr 22 02:32:08 2022  cycles contain 1199016 unique relations
Fri Apr 22 02:32:33 2022  read 1199016 relations
Fri Apr 22 02:32:40 2022  multiplying 1199016 relations
Fri Apr 22 02:33:25 2022  multiply complete, coefficients have about 26.63 million bits
Fri Apr 22 02:33:26 2022  initial square root is modulo 44379551
Fri Apr 22 02:34:26 2022  sqrtTime: 558
Fri Apr 22 02:34:26 2022  p52 factor: 7834593466121883208409388094334646738729362536912087
Fri Apr 22 02:34:26 2022  p84 factor: 274818911193647325716553815356896178703404253756768680481831328279419414583762014717
Fri Apr 22 02:34:26 2022  elapsed time 00:09:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:16:00 UTC 2022 年 4 月 19 日 (火) 0 時 16 分 0 秒 (日本時間)

25×10168-529

c150

name 名前Bob Backstrom
date 日付April 19, 2022 05:13:46 UTC 2022 年 4 月 19 日 (火) 14 時 13 分 46 秒 (日本時間)
composite number 合成数
109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927<150>
prime factors 素因数
1174026253021588341233222561990100186721467044392976481685091<61>
93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197<89>
factorization results 素因数分解の結果
Number: n
N=109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927  ( 150 digits)
SNFS difficulty: 168 digits.
Divisors found:

Tue Apr 19 15:09:50 2022  p61 factor: 1174026253021588341233222561990100186721467044392976481685091
Tue Apr 19 15:09:50 2022  p89 factor: 93249660776928970067807056193061694248389558376016412026783925178634476627562053671406197
Tue Apr 19 15:09:50 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 25x10^168-52 = 27(167)2
#
n: 109477549837472093072591266439006408008827562417510854521072346546932790522677118101184065763883506468237497007094558415063373961047120530450099908927
m: 5000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 4.167e-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, 7900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1670745 hash collisions in 15708655 relations (15037767 unique)
Msieve: matrix is 502633 x 502860 (171.8 MB)

Sieving start time : 2022/04/19 14:15:56
Sieving end time  : 2022/04/19 15:01:05

Total sieving time: 0hrs 45min 9secs.

Total relation processing time: 0hrs 4min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4600000,4600000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 10:58:17 UTC 2022 年 4 月 18 日 (月) 19 時 58 分 17 秒 (日本時間)

25×10169-529

c140

name 名前Taiyo Kodama
date 日付May 10, 2022 09:52:06 UTC 2022 年 5 月 10 日 (火) 18 時 52 分 6 秒 (日本時間)
composite number 合成数
60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533<140>
prime factors 素因数
111158673130538801313569942890349675247124337055571333483117<60>
547524261912136249085692022423618198178694008273094384582542295615861112445351449<81>
factorization results 素因数分解の結果
Tue May 10 16:07:25 2022  Msieve v. 1.53 (SVN unknown)
Tue May 10 16:07:25 2022  random seeds: ccb8fd78 cc03e206
Tue May 10 16:07:25 2022  factoring 60862070460930668883670373342448647135928835181994566285584959261841569866804487770253816077681630102869823667686544758613355735672372986533 (140 digits)
Tue May 10 16:07:25 2022  searching for 15-digit factors
Tue May 10 16:07:25 2022  commencing number field sieve (140-digit input)
Tue May 10 16:07:25 2022  R0: -5000000000000000000000000000000000
Tue May 10 16:07:25 2022  R1: 1
Tue May 10 16:07:25 2022  A0: -13
Tue May 10 16:07:25 2022  A1: 0
Tue May 10 16:07:25 2022  A2: 0
Tue May 10 16:07:25 2022  A3: 0
Tue May 10 16:07:25 2022  A4: 0
Tue May 10 16:07:25 2022  A5: 20
Tue May 10 16:07:25 2022  skew 0.92, size 1.100e-11, alpha -0.353, combined = 3.392e-10 rroots = 1
Tue May 10 16:07:25 2022  
Tue May 10 16:07:25 2022  commencing square root phase
Tue May 10 16:07:25 2022  reading relations for dependency 1
Tue May 10 16:07:25 2022  read 345938 cycles
Tue May 10 16:07:26 2022  cycles contain 1139870 unique relations
Tue May 10 16:07:34 2022  read 1139870 relations
Tue May 10 16:07:37 2022  multiplying 1139870 relations
Tue May 10 16:07:52 2022  multiply complete, coefficients have about 29.56 million bits
Tue May 10 16:07:52 2022  initial square root is modulo 308223781
Tue May 10 16:08:09 2022  Newton iteration failed to converge
Tue May 10 16:08:09 2022  algebraic square root failed
Tue May 10 16:08:09 2022  reading relations for dependency 2
Tue May 10 16:08:09 2022  read 345332 cycles
Tue May 10 16:08:09 2022  cycles contain 1137190 unique relations
Tue May 10 16:08:17 2022  read 1137190 relations
Tue May 10 16:08:20 2022  multiplying 1137190 relations
Tue May 10 16:08:35 2022  multiply complete, coefficients have about 29.49 million bits
Tue May 10 16:08:35 2022  initial square root is modulo 294283291
Tue May 10 16:08:52 2022  sqrtTime: 87
Tue May 10 16:08:52 2022  p60 factor: 111158673130538801313569942890349675247124337055571333483117
Tue May 10 16:08:52 2022  p81 factor: 547524261912136249085692022423618198178694008273094384582542295615861112445351449
Tue May 10 16:08:52 2022  elapsed time 00:01:27
Tue May 10 16:08:52 2022 -> Computing time scale for this machine...
Tue May 10 16:08:52 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 10:58:32 UTC 2022 年 4 月 18 日 (月) 19 時 58 分 32 秒 (日本時間)

25×10170-529

c158

name 名前Bob Backstrom
date 日付April 16, 2022 02:18:01 UTC 2022 年 4 月 16 日 (土) 11 時 18 分 1 秒 (日本時間)
composite number 合成数
18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551<158>
prime factors 素因数
41176101862293498530363898739389799302993597433<47>
438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447<111>
factorization results 素因数分解の結果
Number: n
N=18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551  ( 158 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat Apr 16 12:12:53 2022  p47 factor: 41176101862293498530363898739389799302993597433
Sat Apr 16 12:12:53 2022  p111 factor: 438990743018181124625721102808692395493760806359559956707647954606874580463382903648306182758993468771253703447
Sat Apr 16 12:12:53 2022  elapsed time 00:09:37 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.317).
Factorization parameters were as follows:
#
# N = 25x10^170-52 = 27(169)2
#
n: 18075927551120534443473600855793195770714245044764176651566304780691867015817336838196387545420189377690572117036489857810628981380401512836438937930682451551
m: 10000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 2.754e-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 2077358 hash collisions in 16922066 relations (15872332 unique)
Msieve: matrix is 573540 x 573766 (197.0 MB)

Sieving start time : 2022/04/16 11:15:29
Sieving end time  : 2022/04/16 12:02:48

Total sieving time: 0hrs 47min 19secs.

Total relation processing time: 0hrs 4min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

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) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10171-529

c165

name 名前Bob Backstrom
date 日付April 15, 2022 00:27:00 UTC 2022 年 4 月 15 日 (金) 9 時 27 分 0 秒 (日本時間)
composite number 合成数
418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291<165>
prime factors 素因数
21016988484739439396044399396018553307800269<44>
19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239<122>
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 418523319818043471113219129368370632466414173221913720312717946018795246137582208861618579006856885180705311569852847870389287624426145935264687875017820722957852291 (165 digits)
Using B1=12830000, B2=35135665120, polynomial Dickson(12), sigma=1:878480825
Step 1 took 30733ms
Step 2 took 12006ms
********** Factor found in step 2: 21016988484739439396044399396018553307800269
Found prime factor of 44 digits: 21016988484739439396044399396018553307800269
Prime cofactor 19913572304706535292173044441954253496757878499822422288352655080771840349490449708133669434869924098299688578457088452239 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10174-529

c156

name 名前Bob Backstrom
date 日付April 16, 2022 17:00:19 UTC 2022 年 4 月 17 日 (日) 2 時 0 分 19 秒 (日本時間)
composite number 合成数
627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619<156>
prime factors 素因数
32644919543090487376163627266384947822847<41>
2038061151422632477300439265821927545144003<43>
9437677217875739248872922188569257342919608941004883384371777843884481759<73>
factorization results 素因数分解の結果
Number: n
N=627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619  ( 156 digits)
SNFS difficulty: 174 digits.
Divisors found:

Sun Apr 17 02:54:34 2022  found factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:06 2022  found factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:39 2022  p41 factor: 32644919543090487376163627266384947822847
Sun Apr 17 02:55:39 2022  p43 factor: 2038061151422632477300439265821927545144003
Sun Apr 17 02:55:39 2022  p73 factor: 9437677217875739248872922188569257342919608941004883384371777843884481759
Sun Apr 17 02:55:39 2022  elapsed time 00:12:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 25x10^174-52 = 27(173)2
#
n: 627910771290723730078820712596560595856624226462082942797530809120922486159597483709361388613744999756935879605273896680301812584548281541973373982083555619
m: 50000000000000000000000000000000000
deg: 5
c5: 20
c0: -13
skew: 0.92
# Murphy_E = 2.145e-10
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2128881 hash collisions in 16550425 relations (15382017 unique)
Msieve: matrix is 643943 x 644168 (220.9 MB)

Sieving start time : 2022/04/17 01:54:03
Sieving end time  : 2022/04/17 02:43:15

Total sieving time: 0hrs 49min 12secs.

Total relation processing time: 0hrs 6min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 37sec.

Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10175-529

c168

name 名前Bob Backstrom
date 日付April 16, 2022 04:40:43 UTC 2022 年 4 月 16 日 (土) 13 時 40 分 43 秒 (日本時間)
composite number 合成数
212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653<168>
prime factors 素因数
5538416487355323108468985990416171751091<40>
25135601909469959195873925347330279211912885853<47>
1528855417502617804543940938367296744388106263446200188647447306119207580055768611<82>
factorization results 素因数分解の結果
Number: n
N=212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653  ( 168 digits)
SNFS difficulty: 176 digits.
Divisors found:

Sat Apr 16 14:33:11 2022  found factor: 5538416487355323108468985990416171751091
Sat Apr 16 14:34:25 2022  p40 factor: 5538416487355323108468985990416171751091
Sat Apr 16 14:34:25 2022  p47 factor: 25135601909469959195873925347330279211912885853
Sat Apr 16 14:34:25 2022  p82 factor: 1528855417502617804543940938367296744388106263446200188647447306119207580055768611
Sat Apr 16 14:34:25 2022  elapsed time 00:17:32 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 25x10^175-52 = 27(174)2
#
n: 212834152045020014736364259882568194726998808016372115608146908579344328400113521990819737683508117336210387941867153969016911798316150857650631268308440710631916209653
m: 100000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 1.739e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4397361 hash collisions in 33309636 relations (30788601 unique)
Msieve: matrix is 711347 x 711575 (239.4 MB)

Sieving start time : 2022/04/16 12:51:16
Sieving end time  : 2022/04/16 14:16:23

Total sieving time: 1hrs 25min 7secs.

Total relation processing time: 0hrs 7min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 26sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10176-529

c131

name 名前Bob Backstrom
date 日付June 15, 2022 16:32:10 UTC 2022 年 6 月 16 日 (木) 1 時 32 分 10 秒 (日本時間)
composite number 合成数
85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943<131>
prime factors 素因数
1164016781675427232491699523282440870878390805751741093388919197<64>
73116371293446138131841260821128947580969254491907142471132560719619<68>
factorization results 素因数分解の結果
Number: n
N=85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943  ( 131 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 02:23:56 2022  p64 factor: 1164016781675427232491699523282440870878390805751741093388919197
Thu Jun 16 02:23:56 2022  p68 factor: 73116371293446138131841260821128947580969254491907142471132560719619
Thu Jun 16 02:23:56 2022  elapsed time 00:17:05 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^176-52 = 27(175)2
#
n: 85108683200782768417675087752600538938129900556985439622534302293481026505268493890848574534968925575184593694987724799194963625943
m: 100000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 1.686e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3579779 hash collisions in 32170786 relations (29821975 unique)
Msieve: matrix is 789589 x 789814 (272.8 MB)

Sieving start time : 2022/06/16 00:43:49
Sieving end time  : 2022/06/16 02:06:23

Total sieving time: 1hrs 22min 34secs.

Total relation processing time: 0hrs 8min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 14:32:59 UTC 2022 年 4 月 17 日 (日) 23 時 32 分 59 秒 (日本時間)

25×10178-529

c113

name 名前Taiyo Kodama
date 日付April 15, 2022 08:02:50 UTC 2022 年 4 月 15 日 (金) 17 時 2 分 50 秒 (日本時間)
composite number 合成数
12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863<113>
prime factors 素因数
55365848930122805833911830594083757772866894565107<50>
218690508137251144702154689350304186985590431566973514160262709<63>
factorization results 素因数分解の結果
218690508137251144702154689350304186985590431566973514160262709 55365848930122805833911830594083757772866894565107

n: 12107985635978839053269463477170641684420843557976258551285836548652726620884204150921465150542672795419424694863
skew: 8510.515
c0: -5673307499303084796790374
c1: -1908763912966751940209
c2: 494539964968889180
c3: -36768520883101
c4: -3823888020
c5: -151200
Y0: -3735846671924210112654
Y1: 43251979997291189
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.342e-06
# f(x) = -151200*x^5-3823888020*x^4-36768520883101*x^3+494539964968889180*x^2-1908763912966751940209*x-5673307499303084796790374
# g(x) = 43251979997291189*x-3735846671924210112654
software ソフトウェア
cado-nfs 3.0.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:47:30 UTC 2022 年 4 月 15 日 (金) 2 時 47 分 30 秒 (日本時間)

25×10180-529

c136

name 名前Taiyo Kodama
date 日付May 21, 2022 01:48:19 UTC 2022 年 5 月 21 日 (土) 10 時 48 分 19 秒 (日本時間)
composite number 合成数
1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887<136>
prime factors 素因数
18765723656120769335002914454382461644479307547<47>
54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221<89>
factorization results 素因数分解の結果
Sat May 21 06:08:52 2022  Msieve v. 1.53 (SVN unknown)
Sat May 21 06:08:52 2022  random seeds: db4a21e8 93cb8b9f
Sat May 21 06:08:52 2022  factoring 1024856867912530581783746404622740068112834269751118662453224311370988964202376001523839214957884376802332107235221252597764685037596887 (136 digits)
Sat May 21 06:08:52 2022  searching for 15-digit factors
Sat May 21 06:08:53 2022  commencing number field sieve (136-digit input)
Sat May 21 06:08:53 2022  R0: -1000000000000000000000000000000000000
Sat May 21 06:08:53 2022  R1: 1
Sat May 21 06:08:53 2022  A0: -52
Sat May 21 06:08:53 2022  A1: 0
Sat May 21 06:08:53 2022  A2: 0
Sat May 21 06:08:53 2022  A3: 0
Sat May 21 06:08:53 2022  A4: 0
Sat May 21 06:08:53 2022  A5: 25
Sat May 21 06:08:53 2022  skew 1.16, size 1.651e-12, alpha -0.648, combined = 1.094e-10 rroots = 1
Sat May 21 06:08:53 2022  
Sat May 21 06:08:53 2022  commencing square root phase
Sat May 21 06:08:53 2022  reading relations for dependency 1
Sat May 21 06:08:53 2022  read 699281 cycles
Sat May 21 06:08:53 2022  cycles contain 2408598 unique relations
Sat May 21 06:09:12 2022  read 2408598 relations
Sat May 21 06:09:19 2022  multiplying 2408598 relations
Sat May 21 06:09:56 2022  multiply complete, coefficients have about 64.77 million bits
Sat May 21 06:09:57 2022  initial square root is modulo 1991057591
Sat May 21 06:10:44 2022  sqrtTime: 111
Sat May 21 06:10:44 2022  p47 factor: 18765723656120769335002914454382461644479307547
Sat May 21 06:10:44 2022  p89 factor: 54613234570266922285234417600176873614052556105775404836897600926070206954080969137407221
Sat May 21 06:10:44 2022  elapsed time 00:01:52
Sat May 21 06:10:44 2022 -> Computing time scale for this machine...
Sat May 21 06:10:44 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:06:23 UTC 2022 年 4 月 18 日 (月) 1 時 6 分 23 秒 (日本時間)

25×10182-529

c164

name 名前Bob Backstrom
date 日付April 17, 2022 07:24:02 UTC 2022 年 4 月 17 日 (日) 16 時 24 分 2 秒 (日本時間)
composite number 合成数
14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909<164>
prime factors 素因数
83073003882649049276124957626794043320163867835712526048509081415650741<71>
173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649<93>
factorization results 素因数分解の結果
Number: n
N=14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909  ( 164 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Apr 17 17:19:42 2022  p71 factor: 83073003882649049276124957626794043320163867835712526048509081415650741
Sun Apr 17 17:19:42 2022  p93 factor: 173379052274820915792755086244773776321472043759704331875907613402945988069028998906427247649
Sun Apr 17 17:19:42 2022  elapsed time 00:19:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.303).
Factorization parameters were as follows:
#
# N = 25x10^182-52 = 27(181)2
#
n: 14403118682796210416880542090420343376865706935521884896476142281569200258068314702752929999864106161632493932959039940244672844153644274143204696757075716897357909
m: 5000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 1.04e-10
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3273466 hash collisions in 31459559 relations (30185607 unique)
Msieve: matrix is 817641 x 817873 (275.2 MB)

Sieving start time : 2022/04/17 14:35:36
Sieving end time  : 2022/04/17 17:00:10

Total sieving time: 2hrs 24min 34secs.

Total relation processing time: 0hrs 10min 10sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 39sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10183-529

c151

name 名前Bob Backstrom
date 日付April 18, 2022 21:25:02 UTC 2022 年 4 月 19 日 (火) 6 時 25 分 2 秒 (日本時間)
composite number 合成数
8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417<151>
prime factors 素因数
524482613631491273618759195536925610330629003682988215943141366861<66>
16662325223487366328223970177533244858030142447577271415855815818386529882619112471997<86>
factorization results 素因数分解の結果
Number: n
N=8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417  ( 151 digits)
SNFS difficulty: 183 digits.
Divisors found:

Tue Apr 19 07:18:56 2022  p66 factor: 524482613631491273618759195536925610330629003682988215943141366861
Tue Apr 19 07:18:56 2022  p86 factor: 16662325223487366328223970177533244858030142447577271415855815818386529882619112471997
Tue Apr 19 07:18:56 2022  elapsed time 00:18:37 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 25x10^183-52 = 27(182)2
#
n: 8739099882392575841145136941033867936103325986398846726527143431641577184567104809545816615402732574594036712056280432154757810248480138836943166291417
m: 5000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 1.041e-10
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 2741136 hash collisions in 32389100 relations (31046754 unique)
Msieve: matrix is 789394 x 789626 (267.7 MB)

Sieving start time : 2022/04/19 04:37:01
Sieving end time  : 2022/04/19 06:59:49

Total sieving time: 2hrs 22min 48secs.

Total relation processing time: 0hrs 8min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

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) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:07:28 UTC 2022 年 4 月 18 日 (月) 1 時 7 分 28 秒 (日本時間)

25×10185-529

c145

name 名前Eric Jeancolas
date 日付July 24, 2022 22:11:00 UTC 2022 年 7 月 25 日 (月) 7 時 11 分 0 秒 (日本時間)
composite number 合成数
1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341<145>
prime factors 素因数
963904183609322333056013805374759521458933362615628235752460992852832027<72>
1983124962397259782263674231369280556955756186902827619219090987524248383<73>
factorization results 素因数分解の結果
1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341=963904183609322333056013805374759521458933362615628235752460992852832027*1983124962397259782263674231369280556955756186902827619219090987524248383

cado polynomial
n: 1911542447874798740691142779579680754239457150152694442370580414114924072487449226438173663684494063542914549043938498068851091314312396125362341
skew: 1.16
type: snfs
c0: -52
c5: 25
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 25*x^5-52
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 8900000
tasks.lim1 = 8900000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
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: 963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383
Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022
Info:Square Root: Total cpu/real time for sqrt: 684.26/210.022
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.97/108.109
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 108.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 219.79/186.291
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 171.7s
Info:Generate Factor Base: Total cpu/real time for makefb: 3.79/2.19691
Info:Filtering - Merging: Merged matrix has 1474863 rows and total weight 252140894 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 376.49/104.986
Info:Filtering - Merging: Total cpu/real time for replay: 56.51/48.1312
Info:Linear Algebra: Total cpu/real time for bwc: 35160.3/9026.72
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 22460.55, WCT time 5740.02, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46336 iterations)
Info:Linear Algebra: Lingen CPU time 288.32, WCT time 73.19
Info:Linear Algebra: Mksol: CPU time 12150.18,  WCT time 3115.85, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23296 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 88.82/105.058
Info:Quadratic Characters: Total cpu/real time for characters: 53.93/21.7938
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22413051
Info:Lattice Sieving: Average J: 1894.03 for 1001905 special-q, max bucket fill -bkmult 1.0,1s:1.190090
Info:Lattice Sieving: Total time: 186571s
Info:Generate Free Relations: Total cpu/real time for freerel: 117.67/30.5463
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 385650/91083.6
963904183609322333056013805374759521458933362615628235752460992852832027 1983124962397259782263674231369280556955756186902827619219090987524248383
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:10:31 UTC 2022 年 4 月 18 日 (月) 1 時 10 分 31 秒 (日本時間)

25×10186-529

c152

name 名前Bob Backstrom
date 日付April 18, 2022 18:39:23 UTC 2022 年 4 月 19 日 (火) 3 時 39 分 23 秒 (日本時間)
composite number 合成数
13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589<152>
prime factors 素因数
17964660078694538568759839027660138354661072472661<50>
736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249<102>
factorization results 素因数分解の結果
Number: n
N=13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589  ( 152 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Apr 19 04:35:21 2022  p50 factor: 17964660078694538568759839027660138354661072472661
Tue Apr 19 04:35:21 2022  p102 factor: 736796042694668558915031675899498027402092066249726962429809888091877344006595824661657012453038974249
Tue Apr 19 04:35:21 2022  elapsed time 00:25:55 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 25x10^186-52 = 27(185)2
#
n: 13236290454337029072743728892945571430202728521246054161259852684617882427357816270329365171459951691417999244182517830434064871421403789996589535506589
m: 10000000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 6.634e-11
type: snfs
lss: 1
rlim: 9200000
alim: 9200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9200000/9200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3374568 hash collisions in 31786822 relations (30421908 unique)
Msieve: matrix is 996519 x 996745 (342.7 MB)

Sieving start time : 2022/04/19 01:13:24
Sieving end time  : 2022/04/19 04:08:57

Total sieving time: 2hrs 55min 33secs.

Total relation processing time: 0hrs 15min 48sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9200000,9200000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:14:23 UTC 2022 年 4 月 18 日 (月) 1 時 14 分 23 秒 (日本時間)

25×10191-529

c181

name 名前Bob Backstrom
date 日付April 20, 2022 21:42:00 UTC 2022 年 4 月 21 日 (木) 6 時 42 分 0 秒 (日本時間)
composite number 合成数
1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323<181>
prime factors 素因数
12845346379224363731554496685213784427605087<44>
109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429<138>
factorization results 素因数分解の結果
Number: n
N=1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323  ( 181 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Apr 21 07:36:57 2022  p44 factor: 12845346379224363731554496685213784427605087
Thu Apr 21 07:36:57 2022  p138 factor: 109135947044960180438688484848924823964116943082073051013901182937336927508429874732666257088019277388210665820675632098642963127441874429
Thu Apr 21 07:36:57 2022  elapsed time 00:37:56 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 25x10^191-52 = 27(190)2
#
n: 1401889042217201152323034972066887746738524254393860640893448066028338861853341960410728817827193990226484962624900258603380508544569329177435097986774036049520631595504138655620323
m: 100000000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 4.134e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3280115 hash collisions in 30796961 relations (29433570 unique)
Msieve: matrix is 1159418 x 1159643 (404.4 MB)

Sieving start time : 2022/04/21 02:37:55
Sieving end time  : 2022/04/21 06:57:49

Total sieving time: 4hrs 19min 54secs.
Total relation processing time: 0hrs 23min 3sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 58sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

25×10192-529

c158

name 名前Bob Backstrom
date 日付April 21, 2022 18:17:26 UTC 2022 年 4 月 22 日 (金) 3 時 17 分 26 秒 (日本時間)
composite number 合成数
16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457<158>
prime factors 素因数
76918648282603138465466565754975978589679313163099487437<56>
216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461<102>
factorization results 素因数分解の結果
Number: n
N=16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457  ( 158 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Apr 22 04:11:54 2022  p56 factor: 76918648282603138465466565754975978589679313163099487437
Fri Apr 22 04:11:54 2022  p102 factor: 216056719363176029614584529897519211935072119333474710222653707125288749628513397915083869738765989461
Fri Apr 22 04:11:54 2022  elapsed time 00:35:08 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 25x10^192-52 = 27(191)2
#
n: 16618790805789228162547889907159442178493431966080135983093176747661261012176809885855070421616490254337565994261282078182776876630589596386928262977243901457
m: 500000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 4.041e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3220105 hash collisions in 30691130 relations (29394561 unique)
Msieve: matrix is 1225992 x 1226218 (425.3 MB)

Sieving start time : 2022/04/21 21:56:03
Sieving end time  : 2022/04/22 03:35:50

Total sieving time: 5hrs 39min 47secs.

Total relation processing time: 0hrs 25min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 12sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:02:24 UTC 2022 年 4 月 21 日 (木) 4 時 2 分 24 秒 (日本時間)

25×10193-529

c156

name 名前Bob Backstrom
date 日付April 21, 2022 23:29:21 UTC 2022 年 4 月 22 日 (金) 8 時 29 分 21 秒 (日本時間)
composite number 合成数
203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767<156>
prime factors 素因数
58722110390910333871944610807853259434487667777588746863<56>
3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009<100>
factorization results 素因数分解の結果
Number: n
N=203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767  ( 156 digits)
SNFS difficulty: 193 digits.
Divisors found:

Fri Apr 22 09:25:36 2022  p56 factor: 58722110390910333871944610807853259434487667777588746863
Fri Apr 22 09:25:36 2022  p100 factor: 3469060168961905667244712756251059011544775596751318888681961599745706476703632278563050116345941009
Fri Apr 22 09:25:36 2022  elapsed time 00:36:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.318).
Factorization parameters were as follows:
#
# N = 25x10^193-52 = 27(192)2
#
n: 203710534194491079272330546982710237480583733461317480737946027890406847740226525759809562270314378587804654937719746469263189525824283224542624784831804767
m: 500000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 4.041e-11
type: snfs
lss: 1
rlim: 11900000
alim: 11900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11900000/11900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3243629 hash collisions in 30493994 relations (29139222 unique)
Msieve: matrix is 1234245 x 1234470 (429.5 MB)

Sieving start time : 2022/04/22 04:14:06
Sieving end time  : 2022/04/22 08:49:05

Total sieving time: 4hrs 34min 59secs.
Total relation processing time: 0hrs 26min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 11sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11900000,11900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:02:55 UTC 2022 年 4 月 21 日 (木) 4 時 2 分 55 秒 (日本時間)

25×10194-529

c184

name 名前Bob Backstrom
date 日付April 21, 2022 00:09:08 UTC 2022 年 4 月 21 日 (木) 9 時 9 分 8 秒 (日本時間)
composite number 合成数
2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563<184>
prime factors 素因数
35174906523884496909485592754879940129861<41>
57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183<143>
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 2005348975778784478679137580969252907356089737277111719194094940954082334418419960378608262968161384620865030021744591019643760836877649848462115284444472092078473963902440062908241563 (184 digits)
Using B1=11530000, B2=35134040770, polynomial Dickson(12), sigma=1:3724478039
Step 1 took 32015ms
Step 2 took 13235ms
********** Factor found in step 2: 35174906523884496909485592754879940129861
Found prime factor of 41 digits: 35174906523884496909485592754879940129861
Prime cofactor 57010783366747843368075365866548021346797371764050696226442413772436320289904332663969019029339252971994941391728437215716222958461111838457183 has 143 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 20, 2022 19:32:36 UTC 2022 年 4 月 21 日 (木) 4 時 32 分 36 秒 (日本時間)

25×10195-529

c148

name 名前Bob Backstrom
date 日付May 7, 2022 12:35:32 UTC 2022 年 5 月 7 日 (土) 21 時 35 分 32 秒 (日本時間)
composite number 合成数
7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837<148>
prime factors 素因数
19838581596339948429577926846087836758981636949159118939418000229<65>
353096811600062480919565501535725144402999492916971058380689801653192874046498433353<84>
factorization results 素因数分解の結果
Number: n
N=7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837  ( 148 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sat May  7 22:29:24 2022  p65 factor: 19838581596339948429577926846087836758981636949159118939418000229
Sat May  7 22:29:24 2022  p84 factor: 353096811600062480919565501535725144402999492916971058380689801653192874046498433353
Sat May  7 22:29:24 2022  elapsed time 00:47:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 25x10^195-52 = 27(194)2
#
n: 7004939908335313553013407658465290556415933825406811028964909743080260077920637828318566862107680675413262866980029798173557427309896074256695237837
m: 1000000000000000000000000000000000000000
deg: 5
c5: 25
c0: -52
skew: 1.16
# Murphy_E = 2.65e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3261701 hash collisions in 29235968 relations (27714587 unique)
Msieve: matrix is 1423454 x 1423681 (497.1 MB)

Sieving start time : 2022/05/07 16:58:53
Sieving end time  : 2022/05/07 21:41:10

Total sieving time: 4hrs 42min 17secs.

Total relation processing time: 0hrs 37min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 35sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 22, 2022 16:24:11 UTC 2022 年 4 月 23 日 (土) 1 時 24 分 11 秒 (日本時間)

25×10196-529

c120

name 名前Florian Piesker
date 日付April 15, 2022 16:44:26 UTC 2022 年 4 月 16 日 (土) 1 時 44 分 26 秒 (日本時間)
composite number 合成数
323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893<120>
prime factors 素因数
19689553288162691155885377182307427325439021122929485421819<59>
16431655037360054012194502868410901455216476195252166961582647<62>
factorization results 素因数分解の結果
04/15/22 18:10:10, =====================================
04/15/22 18:10:10, System/Build Info: 
04/15/22 18:10:10, YAFU Version 2.08
04/15/22 18:10:10, Built with GCC 9
04/15/22 18:10:10, Using GMP-ECM 7.0.5-dev, Powered by GMP 6.1.2
04/15/22 18:10:10, detected Intel(R) Xeon(R) Platinum 8375C CPU @ 2.90GHz
detected L1 = 49152 bytes, L2 = 56623104 bytes, CL = 64 bytes
04/15/22 18:10:10, using 20 random witnesses for Rabin-Miller PRP checks
04/15/22 18:10:10, Cached 664579 primes: max prime is 9999991
04/15/22 18:10:10, Parsed yafu.ini from /home/florian/Math/yafu

04/15/22 18:10:10, Random seed: 7001439552075623230
04/15/22 18:10:19, nfs: commencing poly selection with 64 threads
04/15/22 18:10:19, nfs: setting deadline of 1 seconds
04/15/22 18:10:19, nfs: expecting degree 5 poly E from 2.87e-10 to > 3.30e-10
04/15/22 18:10:19, nfs: searching for good quality poly E > 3.08e-10
04/15/22 18:11:15, nfs: completed 82 ranges of size 250 in 56.0217 seconds
04/15/22 18:11:15, nfs: best poly = # norm 1.984460e-11 alpha -4.829852 e 2.937e-10 rroots 5

n: 323531947470807699266799753823977092940270918892782164063828949149991514587277864971859309660337352195030396214625574893
skew: 13180.33
c0: 6508995454651040345379763
c1: 463780164416127714838
c2: -2976832791566634153
c3: 7268934034886
c4: 16001727194
c5: 14952
Y0: -116691707663423107015002
Y1: 4495898370671
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5

04/15/22 18:11:15, nfs: commencing lattice sieving with 64 threads
04/15/22 18:13:37, nfs: commencing lattice sieving with 64 threads
04/15/22 18:16:05, nfs: commencing lattice sieving with 64 threads
04/15/22 18:18:32, nfs: commencing lattice sieving with 64 threads
04/15/22 18:21:03, nfs: commencing lattice sieving with 64 threads
04/15/22 18:23:34, nfs: commencing lattice sieving with 64 threads
04/15/22 18:26:07, nfs: commencing msieve filtering
04/15/22 18:27:49, nfs: raising min_rels by 5.00 percent to 10910523
04/15/22 18:27:49, nfs: commencing lattice sieving with 64 threads
04/15/22 18:30:25, nfs: commencing msieve filtering
04/15/22 18:32:43, nfs: commencing msieve linear algebra
04/15/22 18:36:42, nfs: commencing msieve sqrt
04/15/22 18:38:55, p59 = 19689553288162691155885377182307427325439021122929485421819
04/15/22 18:38:55, p62 = 16431655037360054012194502868410901455216476195252166961582647
04/15/22 18:38:55, NFS elapsed time = 1716.6118 seconds.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 18:31:04 UTC 2022 年 4 月 15 日 (金) 3 時 31 分 4 秒 (日本時間)

25×10197-529

c158

name 名前Bob Backstrom
date 日付May 7, 2022 07:00:52 UTC 2022 年 5 月 7 日 (土) 16 時 0 分 52 秒 (日本時間)
composite number 合成数
22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991<158>
prime factors 素因数
292229007417670201490281026158031093669668403476821<51>
76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771<107>
factorization results 素因数分解の結果
Number: n
N=22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991  ( 158 digits)
SNFS difficulty: 198 digits.
Divisors found:

Sat May  7 16:55:45 2022  p51 factor: 292229007417670201490281026158031093669668403476821
Sat May  7 16:55:45 2022  p107 factor: 76903377526894345880914317178116066352413521480227478075448553648892636749890983323395526216375159777841771
Sat May  7 16:55:45 2022  elapsed time 00:54:46 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 25x10^197-52 = 27(196)2
#
n: 22473397681750699677635242359793132470033463339949617076771574601817109440496647975182484380436228589946921511062204829841770687188382155501056632692004089991
m: 5000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 2.503e-11
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3275596 hash collisions in 29113731 relations (27561750 unique)
Msieve: matrix is 1511510 x 1511735 (525.4 MB)

Sieving start time : 2022/05/07 11:24:11
Sieving end time  : 2022/05/07 16:00:28

Total sieving time: 4hrs 36min 17secs.

Total relation processing time: 0hrs 43min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 3sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:24 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 24 秒 (日本時間)

25×10198-529

c172

name 名前Bob Backstrom
date 日付August 23, 2022 02:38:43 UTC 2022 年 8 月 23 日 (火) 11 時 38 分 43 秒 (日本時間)
composite number 合成数
3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909<172>
prime factors 素因数
413683270269291708312621385101862902088417777<45>
214664205456475321952107670232752525300574104569565929687<57>
37895030482731396631667205976032676597409996370002162066353197750098891<71>
factorization results 素因数分解の結果
Number: n
N=3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909  ( 172 digits)
SNFS difficulty: 198 digits.
Divisors found:

Tue Aug 23 12:21:05 2022  found factor: 214664205456475321952107670232752525300574104569565929687
Tue Aug 23 12:22:45 2022  p45 factor: 413683270269291708312621385101862902088417777
Tue Aug 23 12:22:45 2022  p57 factor: 214664205456475321952107670232752525300574104569565929687
Tue Aug 23 12:22:45 2022  p71 factor: 37895030482731396631667205976032676597409996370002162066353197750098891
Tue Aug 23 12:22:45 2022  elapsed time 01:00:27 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 25x10^198-52 = 27(197)2
#
n: 3365192032826559065875583385871384360407241530494593064039054624351942158742908961461486669498681542699403708640595089891159874749777573395088441705440664444657700933908909
m: 5000000000000000000000000000000000000000
deg: 5
c5: 2
c0: -13
skew: 1.45
# Murphy_E = 2.502e-11
type: snfs
lss: 1
rlim: 14400000
alim: 14400000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 14400000/14400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 20000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3193368 hash collisions in 28651299 relations (27155751 unique)
Msieve: matrix is 1581590 x 1581815 (551.9 MB)

Sieving start time : 2022/08/23 05:27:08
Sieving end time  : 2022/08/23 11:21:16

Total sieving time: 5hrs 54min 8secs.

Total relation processing time: 0hrs 47min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 1sec.

Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14400000,14400000,28,28,55,55,2.5,2.5,100000
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:15 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 15 秒 (日本時間)

25×10201-529

c153

name 名前Bob Backstrom
date 日付August 8, 2024 05:48:34 UTC 2024 年 8 月 8 日 (木) 14 時 48 分 34 秒 (日本時間)
composite number 合成数
283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593<153>
prime factors 素因数
1195513162109014613917474884806772995233103457884365603183984875619253<70>
237199480114895437547331548072791582928425776889661218613191760288343433508776836781<84>
factorization results 素因数分解の結果
08/07/24 18:59:53 v1.34.5 @ TRIGKEY,
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, ****************************
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, Starting factorization of 24999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999948
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, using pretesting plan: normal
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, no tune info: using qs/gnfs crossover of 100 digits
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, ****************************
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 2
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 2
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 3
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 7
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 11
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 43
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, div: found prime factor = 157
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, rho: x^2 + 3, starting 1000 iterations on C194
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, rho: x^2 + 2, starting 1000 iterations on C194
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, rho: x^2 + 1, starting 1000 iterations on C194
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, pm1: starting B1 = 150K, B2 = gmp-ecm default on C194
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 0.00
08/07/24 18:59:53 v1.34.5 @ TRIGKEY, scheduled 30 curves at B1=2000 toward target pretesting depth of 59.69
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, Finished 30 curves using Lenstra ECM method on C194 input, B1=2K, B2=gmp-ecm default
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 15.18
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, scheduled 74 curves at B1=11000 toward target pretesting depth of 59.69
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, prp16 = 1449181018290779 (curve 13 stg1 B1=11000 sigma=3961593404 thread=0)
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, Finished 13 curves using Lenstra ECM method on C194 input, B1=11K, B2=gmp-ecm default
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 16.06
08/07/24 18:59:54 v1.34.5 @ TRIGKEY, scheduled 61 curves at B1=11000 toward target pretesting depth of 55.08
08/07/24 18:59:56 v1.34.5 @ TRIGKEY, Finished 61 curves using Lenstra ECM method on C179 input, B1=11K, B2=gmp-ecm default
08/07/24 18:59:56 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 20.24
08/07/24 18:59:56 v1.34.5 @ TRIGKEY, scheduled 214 curves at B1=50000 toward target pretesting depth of 55.08
08/07/24 19:00:02 v1.34.5 @ TRIGKEY, prp27 = 120399360165343304077659761 (curve 51 stg2 B1=50000 sigma=433929382 thread=0)
08/07/24 19:00:02 v1.34.5 @ TRIGKEY, Finished 51 curves using Lenstra ECM method on C179 input, B1=50K, B2=gmp-ecm default
08/07/24 19:00:02 v1.34.5 @ TRIGKEY, current ECM pretesting depth: 21.43
08/07/24 19:00:02 v1.34.5 @ TRIGKEY, scheduled 163 curves at B1=50000 toward target pretesting depth of 47.08
08/07/24 19:00:39 v1.34.5 @ TRIGKEY, nfs: commencing nfs on c203: 24999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999948
08/07/24 19:00:39 v1.34.5 @ TRIGKEY, nfs: input divides 25*10^201 - 52
08/07/24 19:00:39 v1.34.5 @ TRIGKEY, nfs: using supplied cofactor: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
08/07/24 19:00:39 v1.34.5 @ TRIGKEY, nfs: commencing snfs on c153: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
08/07/24 19:00:40 v1.34.5 @ TRIGKEY, gen: best 3 polynomials:
n: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
# 25*10^201-52, difficulty: 203.40, anorm: -1.59e+026, rnorm: 1.17e+046
# scaled difficulty: 206.71, suggest sieving rational side
# size = 7.295e-014, alpha = -1.190, combined = 1.585e-011, rroots = 1
type: snfs
size: 203
skew: 0.7305
c5: 125
c0: -26
Y1: -1
Y0: 10000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000
n: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
# 25*10^201-52, difficulty: 205.19, anorm: 1.78e+025, rnorm: 2.62e+046
# scaled difficulty: 208.72, suggest sieving rational side
# size = 6.671e-014, alpha = -0.921, combined = 1.477e-011, rroots = 1
type: snfs
size: 205
skew: 3.6524
c5: 1
c0: -650
Y1: -1
Y0: 50000000000000000000000000000000000000000
m: 50000000000000000000000000000000000000000
n: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
# 25*10^201-52, difficulty: 204.49, anorm: -8.40e+030, rnorm: 3.74e+039
# scaled difficulty: 205.94, suggest sieving rational side
# size = 7.145e-010, alpha = -0.850, combined = 1.319e-011, rroots = 2
type: snfs
size: 204
skew: 1.7864
c6: 2
c0: -65
Y1: -1
Y0: 5000000000000000000000000000000000
m: 5000000000000000000000000000000000
08/07/24 19:00:41 v1.34.5 @ TRIGKEY, test: fb generation took 1.2500 seconds
08/07/24 19:00:41 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 0 on the rational side over range 17000000-17002000
skew: 0.7305
c5: 125
c0: -26
Y1: -1
Y0: 10000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000
rlim: 17000000
alim: 17000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/07/24 19:03:43 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/07/24 19:03:45 v1.34.5 @ TRIGKEY, test: fb generation took 1.2152 seconds
08/07/24 19:03:45 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 1 on the rational side over range 18000000-18002000
skew: 3.6524
c5: 1
c0: -650
Y1: -1
Y0: 50000000000000000000000000000000000000000
m: 50000000000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/07/24 19:06:54 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/07/24 19:06:56 v1.34.5 @ TRIGKEY, test: fb generation took 1.8922 seconds
08/07/24 19:06:56 v1.34.5 @ TRIGKEY, test: commencing test sieving of polynomial 2 on the rational side over range 18000000-18002000
skew: 1.7864
c6: 2
c0: -65
Y1: -1
Y0: 5000000000000000000000000000000000
m: 5000000000000000000000000000000000
rlim: 18000000
alim: 18000000
mfbr: 56
mfba: 56
lpbr: 28
lpba: 28
rlambda: 2.60
alambda: 2.60
08/07/24 19:09:57 v1.34.5 @ TRIGKEY, nfs: parsing special-q from .dat file
08/07/24 19:09:57 v1.34.5 @ TRIGKEY, gen: selected polynomial:
n: 283575100522772977587734951053186222645490202316942104732534975762612351929789089857619170717015927303691137511760482013811352674282297891658269882144593
# 25*10^201-52, difficulty: 203.40, anorm: -1.59e+026, rnorm: 1.17e+046
# scaled difficulty: 206.71, suggest sieving rational side
# size = 7.295e-014, alpha = -1.190, combined = 1.585e-011, rroots = 1
type: snfs
size: 203
skew: 0.7305
c5: 125
c0: -26
Y1: -1
Y0: 10000000000000000000000000000000000000000
m: 10000000000000000000000000000000000000000
08/08/24 11:24:01 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/08/24 11:25:55 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 22240012
08/08/24 12:27:34 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/08/24 12:29:37 v1.34.5 @ TRIGKEY, nfs: raising min_rels by 5.00 percent to 23532085
08/08/24 13:32:03 v1.34.5 @ TRIGKEY, nfs: commencing msieve filtering
08/08/24 13:35:34 v1.34.5 @ TRIGKEY, nfs: commencing msieve linear algebra
08/08/24 14:54:07 v1.34.5 @ TRIGKEY, nfs: commencing msieve sqrt
08/08/24 15:04:58 v1.34.5 @ TRIGKEY, prp84 = 237199480114895437547331548072791582928425776889661218613191760288343433508776836781
08/08/24 15:04:58 v1.34.5 @ TRIGKEY, prp70 = 1195513162109014613917474884806772995233103457884365603183984875619253
08/08/24 15:04:59 v1.34.5 @ TRIGKEY, NFS elapsed time = 72259.1386 seconds.
08/08/24 15:04:59 v1.34.5 @ TRIGKEY,
08/08/24 15:04:59 v1.34.5 @ TRIGKEY,
08/07/24 19:09:57 v1.34.5 @ TRIGKEY, test: test sieving took 557.69 seconds
software ソフトウェア
YAFU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 12, 2022 09:39:39 UTC 2022 年 5 月 12 日 (木) 18 時 39 分 39 秒 (日本時間)
4511e64480Ignacio SantosOctober 21, 2023 13:56:23 UTC 2023 年 10 月 21 日 (土) 22 時 56 分 23 秒 (日本時間)
5043e66463Bob BackstromJuly 15, 2024 01:18:00 UTC 2024 年 7 月 15 日 (月) 10 時 18 分 0 秒 (日本時間)

25×10202-529

c194

name 名前Bob Backstrom
date 日付July 15, 2023 22:52:42 UTC 2023 年 7 月 16 日 (日) 7 時 52 分 42 秒 (日本時間)
composite number 合成数
33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381<194>
prime factors 素因数
47836912236757075784732202207051536263574923269241316697647328071<65>
706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611<129>
factorization results 素因数分解の結果
Number: n
N=33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381  ( 194 digits)
SNFS difficulty: 203 digits.
Divisors found:

Sun Jul 16 07:42:52 2023  prp65 factor: 47836912236757075784732202207051536263574923269241316697647328071
Sun Jul 16 07:42:52 2023  prp129 factor: 706043741762943489967038242197704030402118994442648574164173020745668564848736068695797773848233705487921632147032634212197319611
Sun Jul 16 07:42:52 2023  elapsed time 02:05:14 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.089).
Factorization parameters were as follows:
#
# N = 25x10^202-52 = 27(201)2
#
n: 33774952510025504266431195695675523224960518661183557654706141601211713870964508081837349764492146760715610443193051651191310368113277658669191852882476064054574633933000806118410140442159100381
m: 50000000000000000000000000000000000000000
deg: 5
c5: 1
c0: -65
skew: 2.30
# Murphy_E = 1.544e-11
type: snfs
lss: 1
rlim: 17200000
alim: 17200000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17200000/17200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2524318 hash collisions in 16649849 relations (14955279 unique)
Msieve: matrix is 2009425 x 2009653 (566.0 MB)

Sieving start time: 2023/07/15 20:44:35
Sieving end time  : 2023/07/16 05:33:12

Total sieving time: 8hrs 48min 37secs.

Total relation processing time: 1hrs 59min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17200000,17200000,27,27,56,56,2.6,2.6,100000
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:16:33 UTC 2022 年 6 月 7 日 (火) 7 時 16 分 33 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 19, 2022 10:32:22 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 22 秒 (日本時間)

25×10205-529

c154

name 名前Dmitry Domanov
date 日付November 22, 2023 06:56:38 UTC 2023 年 11 月 22 日 (水) 15 時 56 分 38 秒 (日本時間)
composite number 合成数
3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971<154>
prime factors 素因数
24978238868588450842177629100660677368347<41>
137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193<114>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 08:26:37 2023 
Input number is 3441581020687068773599990962171559328778202316848500062576452931002140055478442837957991501779647575424210245521868541384915845010820851571409011684962971 (154 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2329071965
Step 1 took 0ms
Step 2 took 10940ms
********** Factor found in step 2: 24978238868588450842177629100660677368347
Found prime factor of 41 digits: 24978238868588450842177629100660677368347
Prime cofactor 137783173537308577118618630000631319873662459439933756077070704874386053170105515355293912811730313013969155576193 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:22:51 UTC 2022 年 5 月 18 日 (水) 19 時 22 分 51 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:11 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 11 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:20:35 UTC 2023 年 11 月 17 日 (金) 7 時 20 分 35 秒 (日本時間)

25×10206-529

c158

name 名前Bob Backstrom
date 日付June 3, 2024 03:37:50 UTC 2024 年 6 月 3 日 (月) 12 時 37 分 50 秒 (日本時間)
composite number 合成数
12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293<158>
prime factors 素因数
225973167946744851093599973005664738096860772398880540458096501<63>
54578029016962261120300598852841318669210861316565517386937199958730779030108529679855034188793<95>
factorization results 素因数分解の結果
Number: n
N=12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293  ( 158 digits)
SNFS difficulty: 207 digits.
Divisors found:

Mon Jun  3 04:25:07 2024  prp63 factor: 225973167946744851093599973005664738096860772398880540458096501
Mon Jun  3 04:25:07 2024  prp95 factor: 54578029016962261120300598852841318669210861316565517386937199958730779030108529679855034188793
Mon Jun  3 04:25:07 2024  elapsed time 02:07:30 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.952).
Factorization parameters were as follows:
#
# N = 25x10^206-52 = 27(205)2
#
n: 12333170117252326819481408734425257687384873508863001904521708147775211056158168317794212642911603827462170945884533039807507192850377983736455137341446713293
m: 100000000000000000000000000000000000000000
deg: 5
c5: 125
c0: -26
skew: 0.73
# Murphy_E = 9.754e-12
type: snfs
lss: 1
rlim: 19800000
alim: 19800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19800000/19800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 35500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4614667 hash collisions in 23387063 relations (19091520 unique)
Msieve: matrix is 2002554 x 2002779 (563.9 MB)

Sieving start time: 2024/06/02 11:04:54
Sieving end time  : 2024/06/03 02:17:12

Total sieving time: 15hrs 12min 18secs.

Total relation processing time: 1hrs 58min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 27sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:00 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 0 秒 (日本時間)
4511e674721200Dmitry DomanovSeptember 16, 2022 07:26:35 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 35 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:20:58 UTC 2023 年 11 月 17 日 (金) 7 時 20 分 58 秒 (日本時間)
4480Ignacio SantosMay 29, 2024 09:22:40 UTC 2024 年 5 月 29 日 (水) 18 時 22 分 40 秒 (日本時間)

25×10207-529

c159

name 名前Bob Backstrom
date 日付September 20, 2024 22:22:14 UTC 2024 年 9 月 21 日 (土) 7 時 22 分 14 秒 (日本時間)
composite number 合成数
238507324311737548353777743986747400425461877013731623434805274269045975033477692269205145554096153615991012285540372814545410792292862237121169584891939572619<159>
prime factors 素因数
14306164430197570966446346280358760014818713<44>
16671647070426109657808627592622567670164811861671970429864311320405675896778157282737177160396907392977778371104963<116>
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 238507324311737548353777743986747400425461877013731623434805274269045975033477692269205145554096153615991012285540372814545410792292862237121169584891939572619 (159 digits)
Using B1=53950000, B2=288595837546, polynomial Dickson(12), sigma=1:2093074499
Step 1 took 125648ms
Step 2 took 39479ms
********** Factor found in step 2: 14306164430197570966446346280358760014818713
Found prime factor of 44 digits: 14306164430197570966446346280358760014818713
Prime cofactor 16671647070426109657808627592622567670164811861671970429864311320405675896778157282737177160396907392977778371104963 has 116 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:10 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 10 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:35 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 35 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:08 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 8 秒 (日本時間)

25×10208-529

c186

name 名前Dmitry Domanov
date 日付November 22, 2023 06:57:00 UTC 2023 年 11 月 22 日 (水) 15 時 57 分 0 秒 (日本時間)
composite number 合成数
260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783<186>
prime factors 素因数
626045447685878022958717616000372542529489598311<48>
composite cofactor 合成数の残り
416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 06:26:51 2023 
Input number is 260943482573603243383026633009355073516280871366340788265456667589051644868707060957279424762460181398837434677439138191434433460346402441796233358894356389377937691354776762509153029783 (186 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3542895738
Step 1 took 0ms
Step 2 took 17098ms
********** Factor found in step 2: 626045447685878022958717616000372542529489598311
Found prime factor of 48 digits: 626045447685878022958717616000372542529489598311
Composite cofactor 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353 has 138 digits

c138

name 名前Eric Jeancolas
date 日付November 29, 2023 18:28:11 UTC 2023 年 11 月 30 日 (木) 3 時 28 分 11 秒 (日本時間)
composite number 合成数
416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353<138>
prime factors 素因数
231307906418262685214704637236103847871361822690775941986594129<63>
1801980614233902280441764597081282389198365914125064805680223455339639469057<76>
factorization results 素因数分解の結果
416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353=231307906418262685214704637236103847871361822690775941986594129*1801980614233902280441764597081282389198365914125064805680223455339639469057

cado polynomial
n: 416812363284738981111924103826582166779257039729826644371938343515020450997775426825131647496940607057524650340765383138771558785313366353
skew: 181869.33
c0: -24387238096752486191574825686820
c1: -2115152940183041361970931107
c2: 3070010243339942834094
c3: 31273288772934037
c4: -46138103244
c5: 534240
Y0: -393023388399549581692586183
Y1: 7494722451618869909
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 3.266e-07
# f(x) = 534240*x^5-46138103244*x^4+31273288772934037*x^3+3070010243339942834094*x^2-2115152940183041361970931107*x-24387238096752486191574825686820
# g(x) = 7494722451618869909*x-393023388399549581692586183

cado parameters (extracts)
tasks.lim0 = 9457107
tasks.lim1 = 12662444
tasks.lpb0 = 28
tasks.lpb1 = 29
tasks.sieve.mfb0 = 58
tasks.sieve.mfb1 = 58
tasks.I = 13
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9537.42
Info:Polynomial Selection (root optimized): Rootsieve time: 9533.2
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32851663
Info:Lattice Sieving: Average J: 3786.67 for 610717 special-q, max bucket fill -bkmult 1.0,1s:1.077840
Info:Lattice Sieving: Total time: 365469s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48023/41.210/49.513/54.470/0.967
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39467/40.080/44.017/50.150/0.884
Info:Polynomial Selection (size optimized): Total time: 35877.4
Info:Square Root: Total cpu/real time for sqrt: 884.19/187.08
Info:Generate Factor Base: Total cpu/real time for makefb: 14.75/2.07581
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 277.66/227.705
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 227.5s
Info:Quadratic Characters: Total cpu/real time for characters: 72.25/18.2003
Info:Generate Free Relations: Total cpu/real time for freerel: 730.75/92.4706
Info:Filtering - Singleton removal: Total cpu/real time for purge: 296.87/238.111
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 630.54/461.333
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 402.5s
Info:Filtering - Merging: Merged matrix has 1494384 rows and total weight 254751590 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 754.44/105.615
Info:Filtering - Merging: Total cpu/real time for replay: 54.41/46.9614
Info:Linear Algebra: Total cpu/real time for bwc: 30570.5/8026.26
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19493.13, WCT time 5085.09, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46848 iterations)
Info:Linear Algebra: Lingen CPU time 198.61, WCT time 68.68
Info:Linear Algebra: Mksol: CPU time 10612.93,  WCT time 2771.11, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 758222/107443
Info:root: Cleaning up computation data in /tmp/cado.5shfvkzw
231307906418262685214704637236103847871361822690775941986594129 1801980614233902280441764597081282389198365914125064805680223455339639469057
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)]
Intel(R) Core(TM) i7-8550U CPU @ 1.80GHz (8 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:16:57 UTC 2022 年 6 月 7 日 (火) 7 時 16 分 57 秒 (日本時間)
4511e674721200Dmitry DomanovSeptember 19, 2022 10:32:22 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 22 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:16 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 16 秒 (日本時間)
4480Ignacio SantosNovember 27, 2023 11:22:16 UTC 2023 年 11 月 27 日 (月) 20 時 22 分 16 秒 (日本時間)
5043e66454Ignacio SantosNovember 29, 2023 09:24:01 UTC 2023 年 11 月 29 日 (水) 18 時 24 分 1 秒 (日本時間)

25×10211-529

c172

composite cofactor 合成数の残り
4933704535034901948712731407319539676427096317723162254503130474007789825489305402086479246329093306696280242260050056083316311502123792119822125684277837330630396468280993<172>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:21 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 21 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:39 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 39 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:25 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 25 秒 (日本時間)

25×10212-529

c195

composite cofactor 合成数の残り
500354485740224147383384736452304569206082017281824369683545999834531528902242288105780148862888419163779878030779294196374332145932405678322781654308618635608561143333025761901169429584910547137<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:07 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 7 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:33:00 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 0 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:35 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 35 秒 (日本時間)

25×10213-529

c189

composite cofactor 合成数の残り
235567399258976444431232364015571288609543102210788906095434844893723116326547079291374463013553048308383810965928452673280549160518509437076135826249507635069677251315063250622583668779161<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:19 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 19 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:32:46 UTC 2022 年 9 月 19 日 (月) 19 時 32 分 46 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:44 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 44 秒 (日本時間)

25×10214-529

c207

composite cofactor 合成数の残り
196219796424378637599111835736691480998864502723984434539708653285801426589500986968308672539201803423811914013320573960548625401995104495031666092025219650088363739411709001621463072632038569314811051057493<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:43 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2022 10:38:07 UTC 2022 年 9 月 27 日 (火) 19 時 38 分 7 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:19 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 19 秒 (日本時間)

25×10215-529

c179

composite cofactor 合成数の残り
20223113903664354536040770806209397223607363863503555367684140695768904413202373646437900321912268740676138773927583469877404609686403510832509230640847935692807032686102985431157<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:30 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 30 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:26:46 UTC 2022 年 9 月 16 日 (金) 16 時 26 分 46 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:21:52 UTC 2023 年 11 月 17 日 (金) 7 時 21 分 52 秒 (日本時間)

25×10216-529

c196

composite cofactor 合成数の残り
3590371840339348492391417932409408937134461839406116758567484510160481743483087904455937023417102108104259786474450205138998815845326415905359252103288011280066920938948208220927601103973165905629<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 6, 2022 22:17:29 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 29 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 10:54:58 UTC 2023 年 9 月 16 日 (土) 19 時 54 分 58 秒 (日本時間)
4511e61792 / 3694Dmitry DomanovNovember 16, 2023 22:22:04 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 4 秒 (日本時間)

25×10217-529

c177

name 名前Dmitry Domanov
date 日付September 19, 2022 04:56:40 UTC 2022 年 9 月 19 日 (月) 13 時 56 分 40 秒 (日本時間)
composite number 合成数
757049903557286583404543193648167791221222329668698853375242349217977866379761632552137196962293462109555112203883576727772765935874894017705422324464270653717362732105250050603<177>
prime factors 素因数
5087820579446707756618498262291391124697<40>
composite cofactor 合成数の残り
148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2935520504
Step 1 took 31600ms
Step 2 took 13854ms
********** Factor found in step 2: 5087820579446707756618498262291391124697
Found prime factor of 40 digits: 5087820579446707756618498262291391124697
Composite cofactor 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899 has 138 digits

c138

name 名前Ignacio Santos
date 日付October 5, 2022 14:00:59 UTC 2022 年 10 月 5 日 (水) 23 時 0 分 59 秒 (日本時間)
composite number 合成数
148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899<138>
prime factors 素因数
325390999569851866801370647153834700863434969054409<51>
457285241165763247030986193504975157293951116901709276396859462738448988833359793049611<87>
factorization results 素因数分解の結果
10/05/22 09:16:39, nfs: commencing nfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
10/05/22 09:16:39, nfs: input divides 10^219 - 208
10/05/22 09:16:39, nfs: commencing snfs on c138: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
10/05/22 09:16:39, gen: best 3 polynomials:
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.70, anorm: 2.17e+28, rnorm: 1.91e+50
# scaled difficulty: 224.09, suggest sieving rational side
# size = 7.306e-15, alpha = -0.273, combined = 3.539e-12, rroots = 1
type: snfs
size: 219
skew: 2.3045
c5: 1
c0: -65
Y1: -1
Y0: 50000000000000000000000000000000000000000000
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.00, anorm: -4.58e+29, rnorm: 8.53e+49
# scaled difficulty: 223.05, suggest sieving rational side
# size = 5.587e-15, alpha = -1.078, combined = 3.128e-12, rroots = 1
type: snfs
size: 219
skew: 0.4609
c5: 625
c0: -13
Y1: -1
Y0: 10000000000000000000000000000000000000000000
n: 148796501711468475887921552741522685897149206623600057783251486891095647769866886106609946752739332052968208213715623412771562227095284899
# 10^219-208, difficulty: 219.00, anorm: 1.23e+36, rnorm: 6.60e+42
# scaled difficulty: 220.35, suggest sieving rational side
# size = 7.243e-11, alpha = -0.167, combined = 2.662e-12, rroots = 2
type: snfs
size: 219
skew: 0.7697
c6: 125
c0: -26
Y1: -1
Y0: 1000000000000000000000000000000000000
10/05/22 09:16:39, nfs: input snfs form is better done by gnfs: difficulty = 219.70, size = 155, actual size = 138
10/05/22 09:16:39, nfs: commencing poly selection with 46 threads
10/05/22 09:16:39, nfs: setting deadline of 3535 seconds
10/05/22 09:16:39, nfs: expecting degree 5 poly E from 2.36e-11 to > 2.72e-11
10/05/22 09:16:39, nfs: searching for avg quality poly E > 2.45e-11
10/05/22 09:23:20, nfs: completed 59 ranges of size 250 in 400.8256 seconds
10/05/22 09:23:20, nfs: best poly = # norm 3.301350e-13 alpha -6.827288 e 2.954e-11 rroots 3
10/05/22 09:23:20, nfs: commencing lattice sieving with 46 threads
10/05/22 09:29:18, nfs: commencing lattice sieving with 46 threads
10/05/22 09:35:41, nfs: commencing lattice sieving with 46 threads
10/05/22 09:41:19, nfs: commencing lattice sieving with 46 threads
10/05/22 09:47:06, nfs: commencing lattice sieving with 46 threads
10/05/22 09:53:09, nfs: commencing lattice sieving with 46 threads
10/05/22 09:59:24, nfs: commencing lattice sieving with 46 threads
10/05/22 10:05:55, nfs: commencing lattice sieving with 46 threads
10/05/22 10:11:53, nfs: commencing lattice sieving with 46 threads
10/05/22 10:17:50, nfs: commencing lattice sieving with 46 threads
10/05/22 10:23:39, nfs: commencing lattice sieving with 46 threads
10/05/22 10:29:42, nfs: commencing lattice sieving with 46 threads
10/05/22 10:35:46, nfs: commencing lattice sieving with 46 threads
10/05/22 10:41:48, nfs: commencing lattice sieving with 46 threads
10/05/22 10:48:05, nfs: commencing lattice sieving with 46 threads
10/05/22 10:54:20, nfs: commencing lattice sieving with 46 threads
10/05/22 11:00:42, nfs: commencing lattice sieving with 46 threads
10/05/22 11:07:14, nfs: commencing lattice sieving with 46 threads
10/05/22 11:13:00, nfs: commencing lattice sieving with 46 threads
10/05/22 11:18:59, nfs: commencing lattice sieving with 46 threads
10/05/22 11:25:08, nfs: commencing lattice sieving with 46 threads
10/05/22 11:31:28, nfs: commencing lattice sieving with 46 threads
10/05/22 11:37:21, nfs: commencing lattice sieving with 46 threads
10/05/22 11:43:21, nfs: commencing lattice sieving with 46 threads
10/05/22 11:49:23, nfs: commencing lattice sieving with 46 threads
10/05/22 11:55:29, nfs: commencing lattice sieving with 46 threads
10/05/22 12:01:27, nfs: commencing lattice sieving with 46 threads
10/05/22 12:07:22, nfs: commencing lattice sieving with 46 threads
10/05/22 12:13:20, nfs: commencing lattice sieving with 46 threads
10/05/22 12:19:24, nfs: commencing lattice sieving with 46 threads
10/05/22 12:25:49, nfs: commencing lattice sieving with 46 threads
10/05/22 12:31:47, nfs: commencing lattice sieving with 46 threads
10/05/22 12:37:54, nfs: commencing lattice sieving with 46 threads
10/05/22 12:43:56, nfs: commencing lattice sieving with 46 threads
10/05/22 12:50:06, nfs: commencing lattice sieving with 46 threads
10/05/22 12:56:57, nfs: commencing lattice sieving with 46 threads
10/05/22 13:03:27, nfs: commencing lattice sieving with 46 threads
10/05/22 13:09:54, nfs: commencing lattice sieving with 46 threads
10/05/22 13:15:52, nfs: commencing lattice sieving with 46 threads
10/05/22 13:21:56, nfs: commencing lattice sieving with 46 threads
10/05/22 13:28:03, nfs: commencing lattice sieving with 46 threads
10/05/22 13:34:00, nfs: commencing lattice sieving with 46 threads
10/05/22 13:39:54, nfs: commencing lattice sieving with 46 threads
10/05/22 13:45:59, nfs: commencing lattice sieving with 46 threads
10/05/22 13:52:16, nfs: commencing lattice sieving with 46 threads
10/05/22 13:58:08, nfs: commencing lattice sieving with 46 threads
10/05/22 14:04:04, nfs: commencing lattice sieving with 46 threads
10/05/22 14:09:54, nfs: commencing lattice sieving with 46 threads
10/05/22 14:16:07, nfs: commencing lattice sieving with 46 threads
10/05/22 14:22:28, nfs: commencing lattice sieving with 46 threads
10/05/22 14:28:44, nfs: commencing lattice sieving with 46 threads
10/05/22 14:35:26, nfs: commencing lattice sieving with 46 threads
10/05/22 14:41:49, nfs: commencing lattice sieving with 46 threads
10/05/22 14:48:24, nfs: commencing lattice sieving with 46 threads
10/05/22 14:54:09, nfs: commencing lattice sieving with 46 threads
10/05/22 15:00:22, nfs: commencing lattice sieving with 46 threads
10/05/22 15:06:37, nfs: commencing msieve filtering
10/05/22 15:12:32, nfs: commencing msieve linear algebra
10/05/22 15:49:58, nfs: commencing msieve sqrt
10/05/22 15:57:20, prp51 = 325390999569851866801370647153834700863434969054409
10/05/22 15:57:20, prp87 = 457285241165763247030986193504975157293951116901709276396859462738448988833359793049611
10/05/22 15:57:20, NFS elapsed time = 24040.7080 seconds.
10/05/22 15:57:20, 
10/05/22 15:57:20, 
software ソフトウェア
Yafu

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:41 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 41 秒 (日本時間)
4511e656801200Dmitry DomanovSeptember 16, 2022 07:27:13 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 13 秒 (日本時間)
4480Ignacio SantosSeptember 21, 2022 09:45:40 UTC 2022 年 9 月 21 日 (水) 18 時 45 分 40 秒 (日本時間)

25×10218-529

c196

name 名前Dmitry Domanov
date 日付June 7, 2022 08:30:45 UTC 2022 年 6 月 7 日 (火) 17 時 30 分 45 秒 (日本時間)
composite number 合成数
6018546525535572467870617345836099439126910125405076886223608769461926043702477074434328901601227971846653208282512606161676649176930912849385624100128641980071142605363962219059304795559293760489<196>
prime factors 素因数
2484462280872867709423375296646297963<37>
2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2668100531
Step 1 took 24984ms
Step 2 took 10996ms
********** Factor found in step 2: 2484462280872867709423375296646297963
Found prime factor of 37 digits: 2484462280872867709423375296646297963
Prime cofactor 2422474501573464298498287044909713516320188798545195642828718328489969485860510537841457950069663829807050895266319094415445308914912545891213593458274662398203 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 6, 2022 22:17:41 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 41 秒 (日本時間)

25×10219-529

c206

name 名前Ignacio Santos
date 日付September 16, 2023 11:16:23 UTC 2023 年 9 月 16 日 (土) 20 時 16 分 23 秒 (日本時間)
composite number 合成数
99580884437513192071300769387868924942148058383550982497886758733875560881301210534803601518944313360881700620160631213393110055750834175896043046079403695555819684802571258106925912050427443295560246217447<206>
prime factors 素因数
638615983261282515189409780658046471697474907<45>
composite cofactor 合成数の残り
155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3655525743
Step 1 took 6234ms
********** Factor found in step 2: 638615983261282515189409780658046471697474907
Found prime factor of 45 digits: 638615983261282515189409780658046471697474907
Composite cofactor 155932339696500828348402902402780457408230581526571947292911392484448447150482500430948162535611918841273738940610937782834148354598029122816362936778326394309221 has 162 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:51 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:53:13 UTC 2023 年 9 月 19 日 (火) 15 時 53 分 13 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:22:13 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 13 秒 (日本時間)

25×10220-529

c176

name 名前Dmitry Domanov
date 日付September 19, 2022 11:36:43 UTC 2022 年 9 月 19 日 (月) 20 時 36 分 43 秒 (日本時間)
composite number 合成数
30201633236601441994123147599856645986962312623290133286259113300247023958110934947949415542262674894770976160616048654593076923256976720941581571380087059764413190018527888787<176>
prime factors 素因数
94520827164289992331114416975107271877<38>
319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831<138>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3143019381
Step 1 took 31868ms
Step 2 took 13971ms
********** Factor found in step 2: 94520827164289992331114416975107271877
Found prime factor of 38 digits: 94520827164289992331114416975107271877
Prime cofactor 319523581655785927627187036212874760067533565015487346001259672602887001478341946024329805016511606605455942264904340375716481712959667831 has 138 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:23:50 UTC 2022 年 5 月 18 日 (水) 19 時 23 分 50 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 16, 2022 07:27:13 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 13 秒 (日本時間)

25×10221-529

c139

name 名前Ignacio Santos
date 日付April 18, 2022 17:40:39 UTC 2022 年 4 月 19 日 (火) 2 時 40 分 39 秒 (日本時間)
composite number 合成数
2651287163107226408640278461741472297954542119951231268182870882468766082782233955556599571592331835898987530720987609439167002091889267079<139>
prime factors 素因数
1235789835237995566301304425164160530767776685821<49>
2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899<91>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1876906132
Step 1 took 21516ms
Step 2 took 10578ms
********** Factor found in step 2: 1235789835237995566301304425164160530767776685821
Found prime factor of 49 digits: 1235789835237995566301304425164160530767776685821
Prime cofactor 2145419138033795338614570278350181209593697625968894650815126220762683973804912387594834899 has 91 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 19:25:51 UTC 2022 年 4 月 15 日 (金) 4 時 25 分 51 秒 (日本時間)

25×10223-529

c197

name 名前Dmitry Domanov
date 日付June 7, 2022 05:22:15 UTC 2022 年 6 月 7 日 (火) 14 時 22 分 15 秒 (日本時間)
composite number 合成数
38474920746446290671833729729657594413025688419663756627452357634738380018845056783291995751576033658242484790425509828383936897687774688813739992122941020610404721252985996508502267741241448203667<197>
prime factors 素因数
629594240861134179817161950973001<33>
composite cofactor 合成数の残り
61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667<164>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3268166902
Step 1 took 26164ms
Step 2 took 11680ms
********** Factor found in step 2: 629594240861134179817161950973001
Found prime factor of 33 digits: 629594240861134179817161950973001
Composite cofactor 61110661834869726594987982253609394431371980321392910928127700374632682018623589239772515957682413432316253888179638091403309930714988865252099750212129184873212667 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:17:51 UTC 2022 年 6 月 7 日 (火) 7 時 17 分 51 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:16 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 16 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:21 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 21 秒 (日本時間)

25×10225-529

c169

composite cofactor 合成数の残り
5638832504674524636159139447932352991507663299351438946831195439967971930067098327749511222851699743923095489130585604785982165019772767180642176649073685096524569568473<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:00 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 0 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:19 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 19 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:33 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 33 秒 (日本時間)

25×10226-529

c221

name 名前Dmitry Domanov
date 日付August 22, 2022 16:48:03 UTC 2022 年 8 月 23 日 (火) 1 時 48 分 3 秒 (日本時間)
composite number 合成数
65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947<221>
prime factors 素因数
1479820362839690435853470984496422979407<40>
composite cofactor 合成数の残り
44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221<182>
factorization results 素因数分解の結果
Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:10:35 2022 
Input number is 65286356405009396012413808952274106595384411289421207724472773500215706121562151044425015224778313648191150094900247670321658043644712693025641347050780250302667548293623559913550418302742758176202130737756719010655777947 (221 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:137945600
Step 1 took 0ms
Step 2 took 5605ms
********** Factor found in step 2: 1479820362839690435853470984496422979407
Found prime factor of 40 digits: 1479820362839690435853470984496422979407
Composite cofactor 44117757833612061561989922899852857630764357576001189880903430229403532694325659209486118222823870112843933330055489097140833571986994431322875908075567441212641591616628817043647221 has 182 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 22, 2022 09:32:31 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 31 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovSeptember 19, 2022 10:33:03 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 3 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:41 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 41 秒 (日本時間)

25×10228-529

c227

composite cofactor 合成数の残り
25720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609053497942386831275720164609<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:32:44 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 11:35:08 UTC 2023 年 9 月 16 日 (土) 20 時 35 分 8 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:29 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 29 秒 (日本時間)

25×10230-529

c226

composite cofactor 合成数の残り
2629774091886410589784695135549075792193147439862326066741562632803591640263734784127104345228327505753945713047466370448912956581377833318606598418769434030539040574258508897051707670104307359580582589633220147856418542221549<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:32:59 UTC 2022 年 8 月 22 日 (月) 18 時 32 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:29:55 UTC 2023 年 9 月 16 日 (土) 22 時 29 分 55 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:38 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 38 秒 (日本時間)

25×10231-529

c191

composite cofactor 合成数の残り
10748145859506505347865695948269112020414342063316882964850846776683665488163951833896749734780315225878649859520375024379581524214444469144631010815759909320159279671514283488839728430530237<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:05 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 5 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:33:06 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 6 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:49 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 49 秒 (日本時間)

25×10232-529

c223

composite cofactor 合成数の残り
1562325936697589156751598020966059959934138354838532751163484579029857889870155238134715339819948290587596885862225198343643829485798785911300173257144414763603773720028813458808274803089983945850389766463728209133815389911<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:07 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:41:35 UTC 2023 年 9 月 16 日 (土) 22 時 41 分 35 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:47 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 47 秒 (日本時間)

25×10233-529

c230

composite cofactor 合成数の残り
65083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529001353743621784858898260960116630219723003228157867333125065083827970425908570238467145683640529<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:14 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 14 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 13:51:25 UTC 2023 年 9 月 16 日 (土) 22 時 51 分 25 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:25 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 25 秒 (日本時間)

25×10235-529

c174

composite cofactor 合成数の残り
130029195735197007125119184522048392902306911688018113003896433880833609921392925113034609931758991761196816202869212310493413744562050130530154291481422463014180692696889469<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:11 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 11 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:24 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 24 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:22:57 UTC 2023 年 11 月 17 日 (金) 7 時 22 分 57 秒 (日本時間)

25×10238-529

c173

composite cofactor 合成数の残り
85753913825529585959830503023050326568831252353862432490409681094995881981107698697115692530176771093687164186375938375621884568252046483633336865901179186621979665222464387<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:21 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 21 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:38 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 38 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:05 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 5 秒 (日本時間)

25×10239-529

c186

name 名前Dmitry Domanov
date 日付September 24, 2022 11:23:47 UTC 2022 年 9 月 24 日 (土) 20 時 23 分 47 秒 (日本時間)
composite number 合成数
440790618996140086881556984155989456535519880473128952409545814038734807577064928269156277737606638636694711366267301869306328784740216856065333043532649031819307600345387387735713125411<186>
prime factors 素因数
11894671268301091502202754185577855000589<41>
37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999<146>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3193152140
Step 1 took 46137ms
Step 2 took 16066ms
********** Factor found in step 2: 11894671268301091502202754185577855000589
Found prime factor of 41 digits: 11894671268301091502202754185577855000589
Prime cofactor 37057822705099267260802059019583002856803094640191625404289822525621862816904792092866319449684730259780389229495308884310271337333985308562933999 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:16 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 16 秒 (日本時間)
4511e61200 / 4213Dmitry DomanovSeptember 19, 2022 10:33:16 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 16 秒 (日本時間)

25×10240-529

c180

name 名前Dmitry Domanov
date 日付May 19, 2022 14:29:19 UTC 2022 年 5 月 19 日 (木) 23 時 29 分 19 秒 (日本時間)
composite number 合成数
100358378738789133217059512894641152101751686276592131687955197366291917744217443559711344122045743126513900136018486123727575356806697487227705063054341736398812182590270760073269<180>
prime factors 素因数
175659461436769178080928450186069543<36>
571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483<144>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1195572289
Step 1 took 11912ms
Step 2 took 6245ms
********** Factor found in step 2: 175659461436769178080928450186069543
Found prime factor of 36 digits: 175659461436769178080928450186069543
Prime cofactor 571323502405900224485586483107046491546961353043243879041338539632010391214867616796819627223787431993495823113143574000218196608009591260988483 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 18, 2022 10:24:31 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 31 秒 (日本時間)

25×10243-529

c169

composite cofactor 合成数の残り
6454132507712564157924088268983817771307826132412167611966349441195864629379038630930704626781440010468047682541186891071150902377979255428850783918698985612842079403047<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:24:42 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 42 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:20:32 UTC 2023 年 9 月 17 日 (日) 0 時 20 分 32 秒 (日本時間)
4511e61792 / 3694Dmitry DomanovNovember 16, 2023 22:23:16 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 16 秒 (日本時間)

25×10244-529

c201

composite cofactor 合成数の残り
355997527487432443951592288702478971407082828096165598987284676182922558789745951747242659545372974140280663120926901489460439073580302228385412859020100773920019666046669409317714527093467618263116231<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:32:58 UTC 2022 年 8 月 24 日 (水) 7 時 32 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:21:02 UTC 2023 年 9 月 17 日 (日) 0 時 21 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:29:55 UTC 2023 年 11 月 17 日 (金) 17 時 29 分 55 秒 (日本時間)

25×10246-529

c221

name 名前Ignacio Santos
date 日付September 16, 2023 15:29:30 UTC 2023 年 9 月 17 日 (日) 0 時 29 分 30 秒 (日本時間)
composite number 合成数
15488146111415797644419661274431218638349123698887759272618537658208255389590468650950063256414542456776643956844617567248130597193756979327731880748207489550277172843993963691691885099801451549479380583211563879697280707<221>
prime factors 素因数
38296230648417576398335238165774012837227<41>
composite cofactor 合成数の残り
404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241<180>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3093073864
Step 1 took 9562ms
Step 2 took 4375ms
********** Factor found in step 2: 38296230648417576398335238165774012837227
Found prime factor of 41 digits: 38296230648417576398335238165774012837227
Composite cofactor 404430040481171409638439232783759033037853309621696606434371193080555465736222043229215614234113359730438211308832376818703896451299306083983406581844326968281189174497007815967241 has 180 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:21 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:54:34 UTC 2023 年 9 月 19 日 (火) 15 時 54 分 34 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:23:24 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 24 秒 (日本時間)

25×10247-529

c233

composite cofactor 合成数の残り
92731980010209934043084690914704336855872661549021216512220812207162458361814719768312855553862414867663932426060049850358808089059199973189782948672230034477721028128931456096588477113712372166870097512172284404079622971678608833031<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:28 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:43:37 UTC 2023 年 9 月 17 日 (日) 0 時 43 分 37 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:37 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 37 秒 (日本時間)

25×10248-529

c220

composite cofactor 合成数の残り
1513709853517334771520456792844288082303195897774488511752034093179330062395556575187050954058853183430363424906589483594412933661992175065763609651565289713350178819905568519824483242132215603961294212928569828867262513<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:35 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 35 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 15:54:59 UTC 2023 年 9 月 17 日 (日) 0 時 54 分 59 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:10 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 10 秒 (日本時間)

25×10249-529

c230

composite cofactor 合成数の残り
49479141816084086823304843431520341752208355987509885088743627565164691581698472467891154642733636073888862893071831399484647223443618810193832466275411680093954296185746482252957913103055844749757489120223561687099479086721132239<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:43 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 16:06:23 UTC 2023 年 9 月 17 日 (日) 1 時 6 分 23 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:46 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 46 秒 (日本時間)

25×10250-529

c177

composite cofactor 合成数の残り
300363745375474460820570546323908471786141234872199718379284505257192114716514638963198603393306543745365950466458235345828378369408156395008237521311853333716773055861899772083<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 18, 2022 10:24:52 UTC 2022 年 5 月 18 日 (水) 19 時 24 分 52 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 16, 2022 07:27:39 UTC 2022 年 9 月 16 日 (金) 16 時 27 分 39 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:32 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 32 秒 (日本時間)

25×10251-529

c249

composite cofactor 合成数の残り
119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421002477606251191156851534210024776062511911568515342100247760625119115685153421<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:50 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:08:09 UTC 2023 年 9 月 16 日 (土) 23 時 8 分 9 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:48:57 UTC 2023 年 11 月 17 日 (金) 19 時 48 分 57 秒 (日本時間)

25×10253-529

c224

composite cofactor 合成数の残り
19285752976803738117324257221938703182757922483122799681793235677606757982401430149969349426851603403327363711161211099633128553381690068222301811621282651369311916889376385793747101141806429758948936065266210204317192108381<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:33:57 UTC 2022 年 8 月 22 日 (月) 18 時 33 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:18:24 UTC 2023 年 9 月 16 日 (土) 23 時 18 分 24 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:17 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 17 秒 (日本時間)

25×10254-529

c232

name 名前Dmitry Domanov
date 日付August 23, 2022 23:38:01 UTC 2022 年 8 月 24 日 (水) 8 時 38 分 1 秒 (日本時間)
composite number 合成数
3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569<232>
prime factors 素因数
266325161387646868473589318588666282609<39>
composite cofactor 合成数の残り
12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441<194>
factorization results 素因数分解の結果
esuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 10:50:33 2022 
Input number is 3207113529404905739380272756717776158742141099502464901518171813765688103518652280150871607922245824168336953564435738313718806314517059432930869197889517823179287690832149625730498689876184882544773096173781409614876967007181155569 (232 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2921036642
Step 1 took 0ms
Step 2 took 6076ms
********** Factor found in step 2: 266325161387646868473589318588666282609
Found prime factor of 39 digits: 266325161387646868473589318588666282609
Composite cofactor 12042097384620840981592436502522110649438212489165460469340141183024972297602708769599529157088379324986475268260045957233772368301919247248263828056140362968388389585291218481114219508651725441 has 194 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovAugust 22, 2022 09:34:05 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 5 秒 (日本時間)
4511e62792 / 40381000Dmitry DomanovSeptember 19, 2022 10:33:33 UTC 2022 年 9 月 19 日 (月) 19 時 33 分 33 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:40 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 40 秒 (日本時間)

25×10255-529

c252

composite cofactor 合成数の残り
111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639000231592824185416778009370601963194555787148379740972333564926157518750111342703935296527889120481713074305666898259490852083444676037268629861222453815046407639<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:22:07 UTC 2022 年 6 月 7 日 (火) 7 時 22 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:55:17 UTC 2023 年 9 月 17 日 (日) 16 時 55 分 17 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:06 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 6 秒 (日本時間)

25×10256-529

c224

name 名前Dmitry Domanov
date 日付November 19, 2023 17:27:54 UTC 2023 年 11 月 20 日 (月) 2 時 27 分 54 秒 (日本時間)
composite number 合成数
32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739<224>
prime factors 素因数
311844140639184157703576907898208756539379<42>
104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841<183>
factorization results 素因数分解の結果
Resuming ECM residue saved by @8073ca6b4746 with GMP-ECM 7.0.5-dev on Fri Nov 17 10:15:55 2023 
Input number is 32603792198060256233602985583485889789269701096510664139467947753988373503980534302663698819129512682500744596875348443129001840325375103372824694197818437104616318875010474596807187949217568137973456735902714815806945720739 (224 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2678944670
Step 1 took 0ms
Step 2 took 18946ms
********** Factor found in step 2: 311844140639184157703576907898208756539379
Found prime factor of 42 digits: 311844140639184157703576907898208756539379
Prime cofactor 104551562621098327334428909477794218173539196690596495863308043475631494560775474483053277715111948219191912752708710424573352558994834770399729642455117043308931526730339335378557841 has 183 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:12 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:03:19 UTC 2023 年 9 月 17 日 (日) 17 時 3 分 19 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:26 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 26 秒 (日本時間)

25×10259-529

c205

composite cofactor 合成数の残り
8715080576389881981358578269828982545210276600736243522217009254019408418330971277879306319246276013646507922522864002122489248928514402130579564700744455939451055000245589767443530577232972450355579306003<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:08 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:18:03 UTC 2023 年 9 月 17 日 (日) 17 時 18 分 3 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:34 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 34 秒 (日本時間)

25×10260-529

c217

composite cofactor 合成数の残り
1382187149942350921154978415405425656288959003721525474307566120563947646209222423910391893113667276067779721916789655410347964522426361263887760137099127365644556291053278581870398681306860849540411766928737400270537<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:16 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 16 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 08:26:32 UTC 2023 年 9 月 17 日 (日) 17 時 26 分 32 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 08:30:44 UTC 2023 年 11 月 17 日 (金) 17 時 30 分 44 秒 (日本時間)

25×10261-529

c253

composite cofactor 合成数の残り
1330251654047304587834245391859335404949771520520040485189586062053276499142335570552054991942722134105607717202499833512620288040403770522584830923249260592335303618437084194394320934590405140820134671667894406999850439487275064573836694710374360874181<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:55 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 55 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:01:06 UTC 2023 年 9 月 17 日 (日) 18 時 1 分 6 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:14 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 14 秒 (日本時間)

25×10263-529

c242

composite cofactor 合成数の残り
79486453850580381609002544852163940284898185413888620779192876260410046873545510833864761661237684916993722397339064130087469040510301896568531385154816572419341146714796727065277026809223091952229899513280890101798941193749230161898366134829<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:20 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:01:46 UTC 2023 年 9 月 17 日 (日) 18 時 1 分 46 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:23 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 23 秒 (日本時間)

25×10264-529

c209

composite cofactor 合成数の残り
32465700311655060282417052389581846600533683426036800985308510899585535983870062078209077653375829822678438712226849948910308559681161939514639627316537821705010387252806158843402893994734549971897216879313729<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:24 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 24 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:06:36 UTC 2023 年 9 月 17 日 (日) 18 時 6 分 36 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:24 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 24 秒 (日本時間)

25×10265-529

c187

composite cofactor 合成数の残り
9996586258576677525777556271403492374397209684253544101907676444977453557959095232898902542948106059120622333177891045390574660928591735685309904592087069825671179142514805865358589277919<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJune 6, 2022 22:18:25 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 25 秒 (日本時間)
4511e62992 / 42131200Dmitry DomanovSeptember 19, 2022 10:34:48 UTC 2022 年 9 月 19 日 (月) 19 時 34 分 48 秒 (日本時間)
1792Dmitry DomanovNovember 16, 2023 22:23:48 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 48 秒 (日本時間)

25×10266-529

c241

name 名前Ignacio Santos
date 日付September 16, 2023 14:34:01 UTC 2023 年 9 月 16 日 (土) 23 時 34 分 1 秒 (日本時間)
composite number 合成数
3882072369538164397930302075544964512886494132712033840145634004818318762911177488324204234712783416452833772451176214178185869284652238048955573319621164738630299384815184315523333291961154536396467022704833755141951943497033813277078811409<241>
prime factors 素因数
550019463624966294835334652128176016590278643<45>
composite cofactor 合成数の残り
7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363<196>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1687032616
Step 1 took 8938ms
Step 2 took 3875ms
********** Factor found in step 2: 550019463624966294835334652128176016590278643
Found prime factor of 45 digits: 550019463624966294835334652128176016590278643
Composite cofactor 7058063625517761950868304881451399565576246100852179247168102870747222060454310336116680310867529904594914710123353623025252038771898806332581562140493062322367994985157440322122633157115229648363 has 196 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:28 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 07:10:30 UTC 2023 年 9 月 19 日 (火) 16 時 10 分 30 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 16, 2023 22:23:56 UTC 2023 年 11 月 17 日 (金) 7 時 23 分 56 秒 (日本時間)

25×10267-529

c230

composite cofactor 合成数の残り
12330775350414005035170486831433840719475011251768354157100267955261775412351015965943526565425338316067743955254893012240524434417838880264340985337363390867031285495495204475342729354673063991878731753589703444899446659693122999<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:36 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 36 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:50:13 UTC 2023 年 9 月 16 日 (土) 23 時 50 分 13 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:31 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 31 秒 (日本時間)

25×10268-529

c226

composite cofactor 合成数の残り
1104325464991258362126803942212766228457872287064971875548081326929126831334101275235377658793456150177843905442320670775165398791189527054278677485000966742784092998032820639573341791187071230915120060645378736669256597405417<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:43 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 43 秒 (日本時間)
2350Ignacio SantosSeptember 16, 2023 14:57:02 UTC 2023 年 9 月 16 日 (土) 23 時 57 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:48 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 48 秒 (日本時間)

25×10269-529

c180

composite cofactor 合成数の残り
202829567027631162290360843574215806861403257665297629171748110999139356586488723944435023338484205012882896273279691498039593963110484799366666982814642513475010153588380335669467<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 21:33:53 UTC 2022 年 4 月 15 日 (金) 6 時 33 分 53 秒 (日本時間)
4511e64480Ignacio SantosApril 22, 2022 18:06:21 UTC 2022 年 4 月 23 日 (土) 3 時 6 分 21 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 27, 2024 21:08:10 UTC 2024 年 4 月 28 日 (日) 6 時 8 分 10 秒 (日本時間)

25×10270-529

c202

composite cofactor 合成数の残り
5531006695954263153535619678092072577726739388654745277490851492621323354049207311558365845983581663714032724324303039786114456456375650208408629290846337949777909546046996523431050868286085766952943169<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:33 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:23:29 UTC 2023 年 9 月 17 日 (日) 18 時 23 分 29 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:39:59 UTC 2023 年 11 月 17 日 (金) 19 時 39 分 59 秒 (日本時間)

25×10272-529

c268

name 名前Dmitry Domanov
date 日付June 7, 2022 18:18:38 UTC 2022 年 6 月 8 日 (水) 3 時 18 分 38 秒 (日本時間)
composite number 合成数
1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783<268>
prime factors 素因数
21009468328881462974245293877908111879029<41>
composite cofactor 合成数の残り
56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027<227>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun  6 23:04:41 2022 
Input number is 1176605690253374975761922780780475499304390715922204714329551252002582884811244208746792572888369299816072998499592423788896230908396069948737643287040959056004548286956243446306305288701385006090111052751468874543712313319741184399526345613331601369757280365369011783 (268 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3078526928
Step 1 took 0ms
Step 2 took 10504ms
********** Factor found in step 2: 21009468328881462974245293877908111879029
Found prime factor of 41 digits: 21009468328881462974245293877908111879029
Composite cofactor 56003591896512169704840306381130402144487393122668330293665204996477583914290645447429682755805406444026760032116491230108894499106463092610866325019767641062542164847797539155630127057712017924597698200130360736349616185182027 has 227 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:44 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 09:44:42 UTC 2023 年 9 月 17 日 (日) 18 時 44 分 42 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:08 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 8 秒 (日本時間)

25×10273-529

c251

composite cofactor 合成数の残り
13999539081871127377307029861532950710548221426606570389942801679122076237941728698649081056414958143432297347499392024426138156451042602993414582781021696389961289044583189075804329619962492085927849665065659144883330736147039330740601211409819040591<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:33 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:06:02 UTC 2023 年 9 月 17 日 (日) 19 時 6 分 2 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:41 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 41 秒 (日本時間)

25×10274-529

c261

name 名前Dmitry Domanov
date 日付November 24, 2023 08:17:13 UTC 2023 年 11 月 24 日 (金) 17 時 17 分 13 秒 (日本時間)
composite number 合成数
129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497<261>
prime factors 素因数
68670989964256660896253867578331003487<38>
composite cofactor 合成数の残り
1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231<223>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 19:54:28 2023 
Input number is 129829761606767597923351903549975899989248770272856069955923445191391114285413535423532924500433925959266544807060991091655823308602806611708749766107873294580039053297042050320440129827529957303602446270507561146032001872911620215183744174962716424035626359497 (261 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2118480023
Step 1 took 0ms
Step 2 took 23806ms
********** Factor found in step 2: 68670989964256660896253867578331003487
Found prime factor of 38 digits: 68670989964256660896253867578331003487
Composite cofactor 1890605649843466022219356829178663303769666404699775614076674005988084771470984896841387966096917740091548611532414834787136450780716880837701634736104933703920391504324737232468091671802245228495447805570856644562156342231 has 223 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:22 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 22 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:06:17 UTC 2023 年 9 月 17 日 (日) 19 時 6 分 17 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:49:50 UTC 2023 年 11 月 17 日 (金) 19 時 49 分 50 秒 (日本時間)

25×10275-529

c218

composite cofactor 合成数の残り
12726414656957252306073535441719467489437026875107645937098321218867125590722124712023906348871780429175968255104453699646055875773065616287535223905585088366895455582997462129648236454102421056522253110759219804911987<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 22:33:40 UTC 2022 年 8 月 24 日 (水) 7 時 33 分 40 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:16:24 UTC 2023 年 9 月 17 日 (日) 19 時 16 分 24 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:21 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 21 秒 (日本時間)

25×10276-529

c242

composite cofactor 合成数の残り
29380313379611283237390837301604211589200966197147510367931144913371480819104293650787609911928035242542484039125801908735184985668581815087479224264127830917554575887980700093574111317861284153009175881684338129735805317116329351659845607697<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:51 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:29:10 UTC 2023 年 9 月 17 日 (日) 19 時 29 分 10 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:01 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 1 秒 (日本時間)

25×10278-529

c247

name 名前Dmitry Domanov
date 日付August 22, 2022 20:51:19 UTC 2022 年 8 月 23 日 (火) 5 時 51 分 19 秒 (日本時間)
composite number 合成数
1768263013313200187366398792141903463261369584898170228814744126584736609719311060555626887915421175620782129807210319106572174449429467553835471500366559142324342326243929098589584011962929465587983339006429845052053508379263362320842463422598699<247>
prime factors 素因数
21301163681499367258782042437100703<35>
composite cofactor 合成数の残り
83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533<212>
factorization results 素因数分解の結果
Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 11:17:15 2022 
Input number is 1768263013313200187366398792141903463261369584898170228814744126584736609719311060555626887915421175620782129807210319106572174449429467553835471500366559142324342326243929098589584011962929465587983339006429845052053508379263362320842463422598699 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2787494621
Step 1 took 0ms
Step 2 took 6083ms
********** Factor found in step 2: 21301163681499367258782042437100703
Found prime factor of 35 digits: 21301163681499367258782042437100703
Composite cofactor 83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533 has 212 digits

c212

name 名前Dmitry Domanov
date 日付November 22, 2023 06:54:43 UTC 2023 年 11 月 22 日 (水) 15 時 54 分 43 秒 (日本時間)
composite number 合成数
83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533<212>
prime factors 素因数
15272517342977592612751921581123105609071993<44>
composite cofactor 合成数の残り
5435417475551358383791415259765812083302993247008161706788695589980525086016873455127084784572722188556455160842618232787500524465265203922554465016141357983168669874781<169>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 22:58:44 2023 
Input number is 83012507661681605899433187550336284629455582079540275998307491752808024167321958084681065755927359172892002858899480196029082896841604807954219784364516890691686859512427997463223768664396457188698130796924108533 (212 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:3782227186
Step 1 took 0ms
Step 2 took 56ms
********** Factor found in step 2: 15272517342977592612751921581123105609071993
Found prime factor of 44 digits: 15272517342977592612751921581123105609071993
Composite cofactor 5435417475551358383791415259765812083302993247008161706788695589980525086016873455127084784572722188556455160842618232787500524465265203922554465016141357983168669874781 has 169 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:34:58 UTC 2022 年 8 月 22 日 (月) 18 時 34 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:41:37 UTC 2023 年 9 月 17 日 (日) 19 時 41 分 37 秒 (日本時間)
4511e662721792Dmitry DomanovNovember 17, 2023 10:40:31 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 31 秒 (日本時間)
4480Ignacio SantosNovember 27, 2023 14:13:09 UTC 2023 年 11 月 27 日 (月) 23 時 13 分 9 秒 (日本時間)
5043e61792 / 5983Dmitry DomanovJune 12, 2024 23:31:23 UTC 2024 年 6 月 13 日 (木) 8 時 31 分 23 秒 (日本時間)

25×10280-529

c236

name 名前Dmitry Domanov
date 日付August 22, 2022 23:51:19 UTC 2022 年 8 月 23 日 (火) 8 時 51 分 19 秒 (日本時間)
composite number 合成数
12612497537870116624991310924976546581398726917714032022845859089128775203770832170953198532729596242902042330773357299764002424430456545606953597338015375905151915982517794961587035205846741311149512879132148213553589215816330932933907<236>
prime factors 素因数
10044431378522349023898532097064588781<38>
1255670636054020169533826302413334408958482993001286177686024257013029507831762571714134959918773073179138502445773752429168739282090529592937004110260274038092113533762857085517903963128404307605247<199>
factorization results 素因数分解の結果
Resuming ECM residue saved by @52a2f9dfbb6a with GMP-ECM 7.0.5-dev on Mon Aug 22 11:21:43 2022 
Input number is 12612497537870116624991310924976546581398726917714032022845859089128775203770832170953198532729596242902042330773357299764002424430456545606953597338015375905151915982517794961587035205846741311149512879132148213553589215816330932933907 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2120051718
Step 1 took 0ms
Step 2 took 5989ms
********** Factor found in step 2: 10044431378522349023898532097064588781
Found prime factor of 38 digits: 10044431378522349023898532097064588781
Prime cofactor 1255670636054020169533826302413334408958482993001286177686024257013029507831762571714134959918773073179138502445773752429168739282090529592937004110260274038092113533762857085517903963128404307605247 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 22, 2022 09:35:05 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 5 秒 (日本時間)

25×10281-529

c269

name 名前Dmitry Domanov
date 日付November 24, 2023 08:16:04 UTC 2023 年 11 月 24 日 (金) 17 時 16 分 4 秒 (日本時間)
composite number 合成数
16525537234943864033258011394974218524122621409037525896437279589221204777805366674912915434332549597542660038836003404530902011817776223343781699542191277161380966943206306427584795730723516327711331326518473918973389321078760734129828410745717032200196747913899853881<269>
prime factors 素因数
116400702338875891102110807228142364198691721<45>
141971112741513162800508718045448339991569749024761072619571737496359451380495709158680252945318698649781638456062337261997676391157603902311252503813869599340502078368806899841758101277362271512324457228714813345561371910961<225>
factorization results 素因数分解の結果
Resuming ECM residue saved by @fc4e8b0b725e with GMP-ECM 7.0.5-dev on Fri Nov 17 17:10:45 2023 
Input number is 16525537234943864033258011394974218524122621409037525896437279589221204777805366674912915434332549597542660038836003404530902011817776223343781699542191277161380966943206306427584795730723516327711331326518473918973389321078760734129828410745717032200196747913899853881 (269 digits)
Using B1=11000000-11000000, B2=35133391030, polynomial Dickson(12), sigma=3:2617230532
Step 1 took 0ms
Step 2 took 22636ms
********** Factor found in step 2: 116400702338875891102110807228142364198691721
Found prime factor of 45 digits: 116400702338875891102110807228142364198691721
Prime cofactor 141971112741513162800508718045448339991569749024761072619571737496359451380495709158680252945318698649781638456062337261997676391157603902311252503813869599340502078368806899841758101277362271512324457228714813345561371910961 has 225 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:21:10 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 10:55:26 UTC 2023 年 9 月 17 日 (日) 19 時 55 分 26 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:07 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 7 秒 (日本時間)

25×10282-529

c251

name 名前Dmitry Domanov
date 日付June 7, 2022 15:03:41 UTC 2022 年 6 月 8 日 (水) 0 時 3 分 41 秒 (日本時間)
composite number 合成数
18238879025843043742231758601966554503170240528412026244184057174106318745271444216924513948686411850939573065070751090767567679267826942582052755721292820112284402837973353997467985322932761649324435926624128326227563917590821687078214096557893799547<251>
prime factors 素因数
15336041139987259536998880458382976849<38>
1189282087819059915919703351572504076766139252558623982586894787698705768389038680529518390139585039283722575562177968408515963377300874400661088563812919690808912527064271908718077705983517380166480942713944981003<214>
factorization results 素因数分解の結果
Resuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun  6 22:46:49 2022 
Input number is 18238879025843043742231758601966554503170240528412026244184057174106318745271444216924513948686411850939573065070751090767567679267826942582052755721292820112284402837973353997467985322932761649324435926624128326227563917590821687078214096557893799547 (251 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2358250440
Step 1 took 1ms
Step 2 took 10685ms
********** Factor found in step 2: 15336041139987259536998880458382976849
Found prime factor of 38 digits: 15336041139987259536998880458382976849
Prime cofactor 1189282087819059915919703351572504076766139252558623982586894787698705768389038680529518390139585039283722575562177968408515963377300874400661088563812919690808912527064271908718077705983517380166480942713944981003 has 214 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 6, 2022 22:21:00 UTC 2022 年 6 月 7 日 (火) 7 時 21 分 0 秒 (日本時間)

25×10283-529

c282

composite cofactor 合成数の残り
631313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313131313<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:49 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 49 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 13:57:16 UTC 2023 年 9 月 17 日 (日) 22 時 57 分 16 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:46 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 46 秒 (日本時間)

25×10284-529

c269

composite cofactor 合成数の残り
19944458226234665431872970302656072297882678641758807149759484867170829332204677679332005030996557289648625656863184875699166005699515053880511746887200646888443678305563916965162120179198312445672426049786850397817370656605027938200795099722882226126389020201522769161<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:20:50 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 50 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:04:11 UTC 2023 年 9 月 17 日 (日) 23 時 4 分 11 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:15 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 15 秒 (日本時間)

25×10285-529

c237

composite cofactor 合成数の残り
323797753950599718387825152141439447026900386522481573171586067109893971498923338188951106688427000418612680955142290033890849610278010045704118789170071623702383790005458039946627866762234024600248286173041483663984741251816564873379539<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:35:12 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:16:51 UTC 2023 年 9 月 17 日 (日) 23 時 16 分 51 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:27 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 27 秒 (日本時間)

25×10286-529

c262

composite cofactor 合成数の残り
3303717468080376972408537330877789541984276160165488798438429901701020476814376996910685635601088359404977641380621542844417819518941894868348796933904615618945164710453049231997380391317427182710789194340682683686308137825593102920813931351554742180410128706883<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:20:39 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 39 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 14:31:52 UTC 2023 年 9 月 17 日 (日) 23 時 31 分 52 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:37 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 37 秒 (日本時間)

25×10289-529

c194

name 名前Taiyo Kodama
date 日付April 16, 2022 09:52:47 UTC 2022 年 4 月 16 日 (土) 18 時 52 分 47 秒 (日本時間)
composite number 合成数
91952619519081185176484504930483511144940764175939687249880904735837543432376662374691881039695151854276590577770143400907314642523547785533971687648187488891981270649567092590623508288526981213<194>
prime factors 素因数
1635466347796508724047073794159526652909<40>
composite cofactor 合成数の残り
56224097574964164613502513257405269249560807863644075601158777415815510822359264193690039496564529483758307073475276139136009084478429997790174913283780657<155>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

Run 1447 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1016306419
Step 1 took 7141ms
Step 2 took 2906ms
********** Factor found in step 2: 1635466347796508724047073794159526652909
Found prime factor of 40 digits: 1635466347796508724047073794159526652909

c155

name 名前yoyo
date 日付September 26, 2024 12:35:33 UTC 2024 年 9 月 26 日 (木) 21 時 35 分 33 秒 (日本時間)
composite number 合成数
56224097574964164613502513257405269249560807863644075601158777415815510822359264193690039496564529483758307073475276139136009084478429997790174913283780657<155>
prime factors 素因数
380017855354931611900847782126785085628282735329<48>
147951199615217045134390954542992834323156116821627265401046146645406243932423213422316946673188637051281233<108>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 56224097574964164613502513257405269249560807863644075601158777415815510822359264193690039496564529483758307073475276139136009084478429997790174913283780657 (155 digits)
[Thu Sep 26 10:22:22 2024]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:5647189647276587193
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 331125ms
Using 20 small primes for NTT
Estimated memory usage: 472.20MB
Initializing tables of differences for F took 188ms
Computing roots of F took 10265ms
Building F from its roots took 6125ms
Computing 1/F took 1515ms
Initializing table of differences for G took 157ms
Computing roots of G took 7984ms
Building G from its roots took 5469ms
Computing roots of G took 8297ms
Building G from its roots took 5281ms
Computing G * H took 1188ms
Reducing  G * H mod F took 2141ms
Computing roots of G took 8750ms
Building G from its roots took 5171ms
Computing G * H took 1015ms
Reducing  G * H mod F took 1047ms
Computing roots of G took 8406ms
Building G from its roots took 5110ms
Computing G * H took 2047ms
Reducing  G * H mod F took 1141ms
Computing polyeval(F,G) took 10875ms
Computing product of all F(g_i) took 31ms
Step 2 took 92750ms
********** Factor found in step 2: 380017855354931611900847782126785085628282735329
Found prime factor of 48 digits: 380017855354931611900847782126785085628282735329
Prime cofactor 147951199615217045134390954542992834323156116821627265401046146645406243932423213422316946673188637051281233 has 108 digits
Peak memory usage: 616MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 16, 2022 22:22:29 UTC 2022 年 4 月 17 日 (日) 7 時 22 分 29 秒 (日本時間)
4511e64480Ignacio SantosApril 21, 2022 20:01:26 UTC 2022 年 4 月 22 日 (金) 5 時 1 分 26 秒 (日本時間)
5043e64000 / 6453yoyo@HomeOctober 12, 2022 14:00:59 UTC 2022 年 10 月 12 日 (水) 23 時 0 分 59 秒 (日本時間)

25×10290-529

c273

composite cofactor 合成数の残り
165932749138992059821468061368824959192187136384016034439219518023299420821538184559991732361427945606225066888684258615457639231288573522811592565431656130625292673674594350427146745439996142398332182425501359765354559724514550655997359599427786237362689667967795690356851<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:56:57 UTC 2022 年 4 月 23 日 (土) 17 時 56 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 06:25:03 UTC 2023 年 9 月 17 日 (日) 15 時 25 分 3 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:50:54 UTC 2023 年 11 月 17 日 (金) 19 時 50 分 54 秒 (日本時間)

25×10291-529

c284

composite cofactor 合成数の残り
18183678444857804551018605589244383875629830616009522056326268584399440218513933031223008056798060850635445226770297690353095701284442385411979005281974548942436825238787410725448674483012491928156036256951412975534867300882531304664410569677102064431417773582090360354043841919385539<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:06 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 06:32:56 UTC 2023 年 9 月 17 日 (日) 15 時 32 分 56 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:04 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 4 秒 (日本時間)

25×10292-529

c276

composite cofactor 合成数の残り
122964543134017565975941025538349435934836540481752835858914735823737589956804749893566646771968328209976604931944023068799040439437982596789952239791514453968714725119222565807725983792711167796902820785735079485087622234001194940746719155337250688626258666429967762094391891<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:15 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 15 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:04:46 UTC 2023 年 9 月 17 日 (日) 16 時 4 分 46 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:13 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 13 秒 (日本時間)

25×10293-529

c263

name 名前Dmitry Domanov
date 日付June 7, 2022 15:03:06 UTC 2022 年 6 月 8 日 (水) 0 時 3 分 6 秒 (日本時間)
composite number 合成数
20364958098318328051915034228194731941319116344207452190169792780428853766556553377236422401773966241109726891556198139686346547046046829520091997979803895507043295685082155250491897738944863112687891489983285177098318859286959705337235260803380771663168500386931<263>
prime factors 素因数
2518407203142735884782336605860079199483<40>
composite cofactor 合成数の残り
8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857<223>
factorization results 素因数分解の結果
esuming ECM residue saved by @4993db449cb2 with GMP-ECM 7.0.5-dev on Mon Jun  6 22:33:27 2022 
Input number is 20364958098318328051915034228194731941319116344207452190169792780428853766556553377236422401773966241109726891556198139686346547046046829520091997979803895507043295685082155250491897738944863112687891489983285177098318859286959705337235260803380771663168500386931 (263 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4141316879
Step 1 took 0ms
Step 2 took 10892ms
********** Factor found in step 2: 2518407203142735884782336605860079199483
Found prime factor of 40 digits: 2518407203142735884782336605860079199483
Composite cofactor 8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857 has 223 digits

c223

name 名前Ignacio Santos
date 日付September 17, 2023 07:05:22 UTC 2023 年 9 月 17 日 (日) 16 時 5 分 22 秒 (日本時間)
composite number 合成数
8086443714465544416403986210058699321348198532687391003281824822611018647588840020370472697266479697020375089581771124818253917496720540552117532351973979761194760576540742114016281587879480169936585320163335873384045210857<223>
prime factors 素因数
116629436161379405786735568845028703872787<42>
69334500625351424189042015674813348198507824710715387432833346789750558987628191276286689066999572646303982976734607233701340592693784019705588478320752927732286825701476488422174611<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2645441918
Step 1 took 9672ms
Step 2 took 4391ms
********** Factor found in step 2: 116629436161379405786735568845028703872787
Found prime factor of 42 digits: 116629436161379405786735568845028703872787
Prime cofactor 69334500625351424189042015674813348198507824710715387432833346789750558987628191276286689066999572646303982976734607233701340592693784019705588478320752927732286825701476488422174611 has 182 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 6, 2022 22:20:25 UTC 2022 年 6 月 7 日 (火) 7 時 20 分 25 秒 (日本時間)

25×10294-529

c294

name 名前Dmitry Domanov
date 日付April 23, 2022 09:54:03 UTC 2022 年 4 月 23 日 (土) 18 時 54 分 3 秒 (日本時間)
composite number 合成数
231481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481481<294>
prime factors 素因数
6084539341800917089933132904577339709<37>
composite cofactor 合成数の残り
38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909<257>
factorization results 素因数分解の結果
********** Factor found in step 1: 6084539341800917089933132904577339709

Found prime factor of 37 digits: 6084539341800917089933132904577339709

Composite cofactor 38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909 has 257 digits

c257

name 名前Ignacio Santos
date 日付September 17, 2023 07:06:09 UTC 2023 年 9 月 17 日 (日) 16 時 6 分 9 秒 (日本時間)
composite number 合成数
38044208193576576788588123717969954314177222151271396794450373090413218764125111862059364184297673836274944943172092956607167586947825944111893674636177823282809098836387798292822382748154049971633860326966484308031561046899226236580227042241234106390654909<257>
prime factors 素因数
9792011532345250393856224326201720057207413033<46>
composite cofactor 合成数の残り
3885229104143501932934704194483724966750225031800370436003386458004734888049321751771701157002844058993312795721573044049422691652306500717182036995621875505468139078175594430057486922462588272436370956385939573<211>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:770874808
Step 1 took 12484ms
Step 2 took 4938ms
********** Factor found in step 2: 9792011532345250393856224326201720057207413033
Found prime factor of 46 digits: 9792011532345250393856224326201720057207413033
Composite cofactor 3885229104143501932934704194483724966750225031800370436003386458004734888049321751771701157002844058993312795721573044049422691652306500717182036995621875505468139078175594430057486922462588272436370956385939573 has 211 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 23, 2022 08:57:23 UTC 2022 年 4 月 23 日 (土) 17 時 57 分 23 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 07:19:33 UTC 2023 年 9 月 19 日 (火) 16 時 19 分 33 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:40:42 UTC 2023 年 11 月 17 日 (金) 19 時 40 分 42 秒 (日本時間)

25×10295-529

c254

composite cofactor 合成数の残り
26318695759941567130487831061054963361475386750752180427685152552411263520715824960781369581861988363324006915620670594307311209659843305675524420918674080033040243855384526624276403470366303358841356937728839928265858616045825885707077894910567717983741<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 6, 2022 22:18:59 UTC 2022 年 6 月 7 日 (火) 7 時 18 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:21:06 UTC 2023 年 9 月 17 日 (日) 16 時 21 分 6 秒 (日本時間)
4511e61792 / 3519Dmitry DomanovNovember 17, 2023 10:51:22 UTC 2023 年 11 月 17 日 (金) 19 時 51 分 22 秒 (日本時間)

25×10296-529

c221

composite cofactor 合成数の残り
47795305390046001060361083857330672092232230644519033214127396207417095195775107593039741702130999804728181383022917115197781732384767125768932722976969623087247603444327143142234200389373388927369801516361799334286100883<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 22, 2022 09:35:19 UTC 2022 年 8 月 22 日 (月) 18 時 35 分 19 秒 (日本時間)
2350Ignacio SantosSeptember 17, 2023 07:32:11 UTC 2023 年 9 月 17 日 (日) 16 時 32 分 11 秒 (日本時間)

25×10300-529

c191

name 名前Taiyo Kodama
date 日付April 16, 2022 08:44:14 UTC 2022 年 4 月 16 日 (土) 17 時 44 分 14 秒 (日本時間)
composite number 合成数
70149338741199863980419957505231967394509732434971352402042495411696108621122470697247980307570519826259967995281932081721714372885676939375816121511769238127832715774244772607212442776033763<191>
prime factors 素因数
149072553974397467476076425780596834366217<42>
470571791191339577969779748597203470625717493328788049226916534829301723512796488531103524646289194787505595432980971134267315555394823961413480268939<150>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

Run 1120 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:102195467
Step 1 took 5828ms
Step 2 took 2656ms
********** Factor found in step 2: 149072553974397467476076425780596834366217
Found prime factor of 42 digits: 149072553974397467476076425780596834366217

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)