Table of contents 目次

59×10102+49

c94

name 名前Ignacio Santos
date 日付May 7, 2022 16:17:39 UTC 2022 年 5 月 8 日 (日) 1 時 17 分 39 秒 (日本時間)
composite number 合成数
4613719322809763613137715475163032176739492117942084159008062281835179360163830314210967215649<94>
prime factors 素因数
2580431932573157924957018678978831020991513<43>
1787963970128462157831091812234602399947470928710473<52>
factorization results 素因数分解の結果
N=4613719322809763613137715475163032176739492117942084159008062281835179360163830314210967215649
  ( 94 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=2580431932573157924957018678978831020991513 (pp43)
 r2=1787963970128462157831091812234602399947470928710473 (pp52)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.19 hours.
Scaled time: 1.49 units (timescale=7.843).
Factorization parameters were as follows:
n: 4613719322809763613137715475163032176739492117942084159008062281835179360163830314210967215649
m: 10000000000000000000000000
deg: 4
c4: 1475
c0: 1
skew: 0.16
# Murphy_E = 2.469e-07
type: snfs
lss: 1
rlim: 370000
alim: 370000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2Factor base limits: 370000/370000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [185000, 275001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 34923 x 35171
Total sieving time: 0.19 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103.000,4,0,0,0,0,0,0,0,0,370000,370000,25,25,43,43,2.2,2.2,10000
total time: 0.19 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10105+49

c86

name 名前Ignacio Santos
date 日付May 7, 2022 18:08:51 UTC 2022 年 5 月 8 日 (日) 3 時 8 分 51 秒 (日本時間)
composite number 合成数
58805443809284089783634444665789899359107958713388467514084370233963810358751474577441<86>
prime factors 素因数
120077238179746723694332728516185104647091<42>
489730149533058879241804845595254676524933851<45>
factorization results 素因数分解の結果
prp45 = 489730149533058879241804845595254676524933851
prp42 = 120077238179746723694332728516185104647091
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10108+49

c95

name 名前Ignacio Santos
date 日付May 7, 2022 18:10:53 UTC 2022 年 5 月 8 日 (日) 3 時 10 分 53 秒 (日本時間)
composite number 合成数
10803113578498926265420409589339903115536360875080776444556375261195639783809841253831888522219<95>
prime factors 素因数
15187941215622615466244626767162541081<38>
711295456383952215159151878372887488895284254683232219299<57>
factorization results 素因数分解の結果
prp57 = 711295456383952215159151878372887488895284254683232219299
prp38 = 15187941215622615466244626767162541081
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10109+49

c108

name 名前Ignacio Santos
date 日付May 7, 2022 16:24:16 UTC 2022 年 5 月 8 日 (日) 1 時 24 分 16 秒 (日本時間)
composite number 合成数
496632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633<108>
prime factors 素因数
268296764737686455118124154680720324199722341429282109<54>
1851058461769206721098205814822296832514063181128135437<55>
factorization results 素因数分解の結果
N=496632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633
  ( 108 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=268296764737686455118124154680720324199722341429282109 (pp54)
 r2=1851058461769206721098205814822296832514063181128135437 (pp55)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.34 hours.
Scaled time: 2.69 units (timescale=7.862).
Factorization parameters were as follows:
n: 496632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633
m: 1000000000000000000000000000
deg: 4
c4: 295
c0: 2
skew: 0.29
# Murphy_E = 1.016e-07
type: snfs
lss: 1
rlim: 490000
alim: 490000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 490000/490000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [245000, 465001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 54957 x 55202
Total sieving time: 0.34 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,4,0,0,0,0,0,0,0,0,490000,490000,25,25,44,44,2.2,2.2,20000
total time: 0.34 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10112+49

c104

name 名前Ignacio Santos
date 日付May 7, 2022 16:31:50 UTC 2022 年 5 月 8 日 (日) 1 時 31 分 50 秒 (日本時間)
composite number 合成数
18302516744991492933758316978008936355556525005744201450714829229988679543473919569240741171129075181439<104>
prime factors 素因数
1560854202827507622224320559337562133<37>
11725961791842086589134119906222714948723710009018688032283310946883<68>
factorization results 素因数分解の結果
N=18302516744991492933758316978008936355556525005744201450714829229988679543473919569240741171129075181439
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=1560854202827507622224320559337562133 (pp37)
 r2=11725961791842086589134119906222714948723710009018688032283310946883 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.38 hours.
Scaled time: 3.03 units (timescale=7.868).
Factorization parameters were as follows:
n: 18302516744991492933758316978008936355556525005744201450714829229988679543473919569240741171129075181439
m: 10000000000000000000000000000
deg: 4
c4: 59
c0: 4
skew: 0.51
# Murphy_E = 8.062e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 62711 x 62945
Total sieving time: 0.38 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.38 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10114+49

c105

name 名前Ignacio Santos
date 日付May 7, 2022 16:34:39 UTC 2022 年 5 月 8 日 (日) 1 時 34 分 39 秒 (日本時間)
composite number 合成数
485370932388393037054025524237023784657763059993787443581281213223842415962888201283731596098588616575917<105>
prime factors 素因数
416437255210132206805148453192673895630864283<45>
1165531965057922671050319589631344856750904254857739691469399<61>
factorization results 素因数分解の結果
N=485370932388393037054025524237023784657763059993787443581281213223842415962888201283731596098588616575917
  ( 105 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=416437255210132206805148453192673895630864283 (pp45)
 r2=1165531965057922671050319589631344856750904254857739691469399 (pp61)
Version: Msieve v. 1.52 (SVN 927)
Total time: 0.43 hours.
Scaled time: 3.37 units (timescale=7.874).
Factorization parameters were as follows:
n: 485370932388393037054025524237023784657763059993787443581281213223842415962888201283731596098588616575917
m: 10000000000000000000000000000
deg: 4
c4: 1475
c0: 1
skew: 0.16
# Murphy_E = 6.989e-08
type: snfs
lss: 1
rlim: 580000
alim: 580000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 580000/580000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [290000, 590001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 69637 x 69865
Total sieving time: 0.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,4,0,0,0,0,0,0,0,0,580000,580000,25,25,45,45,2.2,2.2,20000
total time: 0.43 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10118+49

c96

name 名前Ignacio Santos
date 日付May 7, 2022 18:19:06 UTC 2022 年 5 月 8 日 (日) 3 時 19 分 6 秒 (日本時間)
composite number 合成数
405793383136788714057616937498388087761031406251810923033059588987073379988044041614801381141469<96>
prime factors 素因数
142070709726400679213268297328824566641<39>
2856277581200687462267866018737608071746632117020854673709<58>
factorization results 素因数分解の結果
prp58 = 2856277581200687462267866018737608071746632117020854673709
prp39 = 142070709726400679213268297328824566641
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10123+49

c80

name 名前ivelive
date 日付May 7, 2022 14:46:51 UTC 2022 年 5 月 7 日 (土) 23 時 46 分 51 秒 (日本時間)
composite number 合成数
36396917026677247943696009055685605402790291766914714055704006626043296887497723<80>
prime factors 素因数
8342841299302841859244073825913197<34>
4362652449078553923093311339543449519503780359<46>
factorization results 素因数分解の結果
starting SIQS on c80: 36396917026677247943696009055685605402790291766914714055704006626043296887497723

==== sieve params ====
n = 80 digits, 265 bits
factor base: 47168 primes (max prime = 1223029)
single large prime cutoff: 103957465 (85 * pmax)
allocating 7 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 10 blocks of size 32768
polynomial A has ~ 10 factors
using multiplier of 1
using SPV correction of 20 bits, starting at offset 30
using SSE2 for x64 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 93 bits

==== sieving in progress ( 8 threads):   47232 relations needed ====
====            Press ctrl-c to abort and save state            ====
47348 rels found: 23804 full + 23544 from 251010 partial, (6066.96 rels/sec)

sieving required 134895 total polynomials
trial division touched 5234580 sieve locations out of 88404787200
QS elapsed time = 45.8832 seconds.

==== post processing stage (msieve-1.38) ====
begin with 278548 relations
reduce to 69477 relations in 2 passes
attempting to read 69477 relations
recovered 69477 relations
recovered 54235 polynomials
freed 22 duplicate relations
attempting to build 48276 cycles
found 48276 cycles in 1 passes
distribution of cycle lengths:
   length 1 : 24118
   length 2 : 24158
largest cycle: 2 relations
matrix is 47168 x 48276 (6.9 MB) with weight 1432052 (29.66/col)
sparse part has weight 1432052 (29.66/col)
filtering completed in 3 passes
matrix is 33970 x 34033 (5.4 MB) with weight 1132101 (33.26/col)
sparse part has weight 1132101 (33.26/col)
saving the first 48 matrix rows for later
matrix is 33922 x 34033 (4.6 MB) with weight 942465 (27.69/col)
sparse part has weight 861350 (25.31/col)
matrix includes 64 packed rows
using block size 13613 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 4.1 MB
lanczos halted after 538 iterations (dim = 33916)
recovered 15 nontrivial dependencies
Lanczos elapsed time = 3.4400 seconds.
Sqrt elapsed time = 0.0950 seconds.
SIQS elapsed time = 49.4188 seconds.


***factors found***

P34 = 8342841299302841859244073825913197
P46 = 4362652449078553923093311339543449519503780359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10126+49

c111

name 名前Ignacio Santos
date 日付May 7, 2022 17:04:10 UTC 2022 年 5 月 8 日 (日) 2 時 4 分 10 秒 (日本時間)
composite number 合成数
950240061947675488707609864597206530952151953873096403764564560595040200893734603013643692034056097133829946023<111>
prime factors 素因数
40628006575319986623795063552173390473023521<44>
23388793643764723339614211638533291727545151532437659053502893560263<68>
factorization results 素因数分解の結果
N=950240061947675488707609864597206530952151953873096403764564560595040200893734603013643692034056097133829946023
  ( 111 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=40628006575319986623795063552173390473023521 (pp44)
 r2=23388793643764723339614211638533291727545151532437659053502893560263 (pp68)
Version: Msieve v. 1.52 (SVN 927)
Total time: 1.63 hours.
Scaled time: 12.79 units (timescale=7.849).
Factorization parameters were as follows:
n: 950240061947675488707609864597206530952151953873096403764564560595040200893734603013643692034056097133829946023
m: 10000000000000000000000000000000
deg: 4
c4: 1475
c0: 1
skew: 0.16
# Murphy_E = 1.884e-08
type: snfs
lss: 1
rlim: 920000
alim: 920000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3Factor base limits: 920000/920000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [460000, 835001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112282 x 112510
Total sieving time: 1.61 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,127.000,4,0,0,0,0,0,0,0,0,920000,920000,26,26,46,46,2.3,2.3,75000
total time: 1.63 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10128+49

c129

name 名前Ignacio Santos
date 日付May 7, 2022 17:21:31 UTC 2022 年 5 月 8 日 (日) 2 時 21 分 31 秒 (日本時間)
composite number 合成数
163888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<129>
prime factors 素因数
1112204558128199770738933107868753467961<40>
153997135273516487598873407394961808495011<42>
956868368712090296877732744249451744255102453259<48>
factorization results 素因数分解の結果
N=163888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
  ( 129 digits)
SNFS difficulty: 129 digits.
Divisors found:
 r1=1112204558128199770738933107868753467961 (pp40)
 r2=153997135273516487598873407394961808495011 (pp42)
 r3=956868368712090296877732744249451744255102453259 (pp48)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.04 hours.
Scaled time: 15.98 units (timescale=7.837).
Factorization parameters were as follows:
n: 163888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889
m: 100000000000000000000000000000000
deg: 4
c4: 59
c0: 4
skew: 0.51
# Murphy_E = 1.397e-08
type: snfs
lss: 1
rlim: 1020000
alim: 1020000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1020000/1020000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [510000, 1010001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 131950 x 132175
Total sieving time: 2.02 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,129.000,4,0,0,0,0,0,0,0,0,1020000,1020000,26,26,47,47,2.3,2.3,100000
total time: 2.04 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10129+49

c122

name 名前Ignacio Santos
date 日付May 7, 2022 19:22:04 UTC 2022 年 5 月 8 日 (日) 4 時 22 分 4 秒 (日本時間)
composite number 合成数
99199557759628495705826004823089223666883876708494647787060637004142687863735775044026276947316069879773296930391078485419<122>
prime factors 素因数
28032750569100841897264225237355244377<38>
1942619503691971593316830147731677545007<40>
1821613677865381492790473041961064491601923021<46>
factorization results 素因数分解の結果
N=99199557759628495705826004823089223666883876708494647787060637004142687863735775044026276947316069879773296930391078485419
  ( 122 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=28032750569100841897264225237355244377 (pp38)
 r2=1942619503691971593316830147731677545007 (pp40)
 r3=1821613677865381492790473041961064491601923021 (pp46)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.35 hours.
Scaled time: 18.53 units (timescale=7.880).
Factorization parameters were as follows:
n: 99199557759628495705826004823089223666883876708494647787060637004142687863735775044026276947316069879773296930391078485419
m: 100000000000000000000000000000000
deg: 4
c4: 295
c0: 2
skew: 0.29
# Murphy_E = 1.148e-08
type: snfs
lss: 1
rlim: 1050000
alim: 1050000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1050000/1050000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [525000, 1125001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 143127 x 143354
Total sieving time: 2.33 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,130.000,4,0,0,0,0,0,0,0,0,1050000,1050000,26,26,47,47,2.3,2.3,100000
total time: 2.35 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10131+49

c121

name 名前Ignacio Santos
date 日付May 7, 2022 19:36:55 UTC 2022 年 5 月 8 日 (日) 4 時 36 分 55 秒 (日本時間)
composite number 合成数
1120073853934789702862749951246995097909217335155130644043994226082945685900422101526849799647214739698750593613438788921<121>
prime factors 素因数
15844144609132749101694519668843281277124846529<47>
70693235991368452631182186311883302957496289267561019459278082522649821049<74>
factorization results 素因数分解の結果
N=1120073853934789702862749951246995097909217335155130644043994226082945685900422101526849799647214739698750593613438788921
  ( 121 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=15844144609132749101694519668843281277124846529 (pp47)
 r2=70693235991368452631182186311883302957496289267561019459278082522649821049 (pp74)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.40 hours.
Scaled time: 18.89 units (timescale=7.874).
Factorization parameters were as follows:
n: 1120073853934789702862749951246995097909217335155130644043994226082945685900422101526849799647214739698750593613438788921
m: 500000000000000000000000000000000
deg: 4
c4: 118
c0: 5
skew: 0.45
# Murphy_E = 9.873e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1175001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 149907 x 150133
Total sieving time: 2.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,100000
total time: 2.40 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10140+49

c122

name 名前Ignacio Santos
date 日付May 10, 2022 21:53:15 UTC 2022 年 5 月 11 日 (水) 6 時 53 分 15 秒 (日本時間)
composite number 合成数
16405961826044642126550912003202655898669971612159698862503174885154766086176527136672472611213445933208775065178890389101<122>
prime factors 素因数
234748475557952856559426146164193864426729559<45>
69887405177182790092313683799056985760767559486584903244914400412078248555739<77>
factorization results 素因数分解の結果
N=16405961826044642126550912003202655898669971612159698862503174885154766086176527136672472611213445933208775065178890389101
  ( 122 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=234748475557952856559426146164193864426729559 (pp45)
 r2=69887405177182790092313683799056985760767559486584903244914400412078248555739 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 2.83 hours.
Scaled time: 22.25 units (timescale=7.874).
Factorization parameters were as follows:
n: 16405961826044642126550912003202655898669971612159698862503174885154766086176527136672472611213445933208775065178890389101
m: 10000000000000000000000000000
deg: 5
c5: 59
c0: 4
skew: 0.58
# Murphy_E = 3.899e-09
type: snfs
lss: 1
rlim: 1610000
alim: 1610000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1610000/1610000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [805000, 1405001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221968 x 222193
Total sieving time: 2.79 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1610000,1610000,26,26,48,48,2.3,2.3,100000
total time: 2.83 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10142+49

c117

name 名前Ignacio Santos
date 日付May 11, 2022 22:13:35 UTC 2022 年 5 月 12 日 (木) 7 時 13 分 35 秒 (日本時間)
composite number 合成数
177334263720379631521317775336867268784849757566936328886576814520894696310335167228030034350862553127909319889587747<117>
prime factors 素因数
8112894362583468216117420800252361042977<40>
21858322787763915779804947867474348938921404625012922979368399944656428995011<77>
factorization results 素因数分解の結果
N=177334263720379631521317775336867268784849757566936328886576814520894696310335167228030034350862553127909319889587747
  ( 117 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=8112894362583468216117420800252361042977 (pp40)
 r2=21858322787763915779804947867474348938921404625012922979368399944656428995011 (pp77)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.25 hours.
Scaled time: 25.67 units (timescale=7.886).
Factorization parameters were as follows:
n: 177334263720379631521317775336867268784849757566936328886576814520894696310335167228030034350862553127909319889587747
m: 10000000000000000000000000000
deg: 5
c5: 1475
c0: 1
skew: 0.23
# Murphy_E = 3.284e-09
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 215882 x 216109
Total sieving time: 3.21 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 3.25 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10146+49

c138

name 名前Bob Backstrom
date 日付May 8, 2022 14:40:44 UTC 2022 年 5 月 8 日 (日) 23 時 40 分 44 秒 (日本時間)
composite number 合成数
313622430025807802656492590039337461530283361324943189566576716798242534576167525659472536176400991384442928948569931802989701219227353611<138>
prime factors 素因数
117710617896358933893734721910396593890556446263003<51>
2664351233819399410604389327259708223344223745559504210722954337142097359460679547707537<88>
factorization results 素因数分解の結果
Number: n
N=313622430025807802656492590039337461530283361324943189566576716798242534576167525659472536176400991384442928948569931802989701219227353611  ( 138 digits)
SNFS difficulty: 147 digits.
Divisors found:

Mon May  9 00:34:40 2022  p51 factor: 117710617896358933893734721910396593890556446263003
Mon May  9 00:34:40 2022  p88 factor: 2664351233819399410604389327259708223344223745559504210722954337142097359460679547707537
Mon May  9 00:34:40 2022  elapsed time 00:03:37 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 59x10^146+4 = 65(145)6
#
n: 313622430025807802656492590039337461530283361324943189566576716798242534576167525659472536176400991384442928948569931802989701219227353611
m: 100000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 2.159e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6600000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 585696 hash collisions in 6670398 relations (6524752 unique)
Msieve: matrix is 308976 x 309201 (104.0 MB)

Sieving start time : 2022/05/09 00:13:11
Sieving end time  : 2022/05/09 00:27:54

Total sieving time: 0hrs 14min 43secs.

Total relation processing time: 0hrs 1min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10150+49

c137

name 名前Taiyo Kodama
date 日付May 8, 2022 07:35:27 UTC 2022 年 5 月 8 日 (日) 16 時 35 分 27 秒 (日本時間)
composite number 合成数
47535857562830020254925465016164606578735203247294443424049477941629619177623930489547586967096057896548440589973198577746935729850544497<137>
prime factors 素因数
32911526761807932036035066712659373429319843772048221<53>
1444352852630126006992840724808221046652878142279041392832591579681810164236175857957<85>
factorization results 素因数分解の結果
Sun May  8 15:40:37 2022  Msieve v. 1.53 (SVN unknown)
Sun May  8 15:40:37 2022  random seeds: 751337f0 b7c83982
Sun May  8 15:40:37 2022  factoring 47535857562830020254925465016164606578735203247294443424049477941629619177623930489547586967096057896548440589973198577746935729850544497 (137 digits)
Sun May  8 15:40:37 2022  searching for 15-digit factors
Sun May  8 15:40:37 2022  commencing number field sieve (137-digit input)
Sun May  8 15:40:37 2022  R0: -1000000000000000000000000000000
Sun May  8 15:40:37 2022  R1: 1
Sun May  8 15:40:37 2022  A0: 4
Sun May  8 15:40:37 2022  A1: 0
Sun May  8 15:40:37 2022  A2: 0
Sun May  8 15:40:37 2022  A3: 0
Sun May  8 15:40:37 2022  A4: 0
Sun May  8 15:40:37 2022  A5: 59
Sun May  8 15:40:37 2022  skew 0.58, size 1.642e-10, alpha -0.122, combined = 1.640e-09 rroots = 1
Sun May  8 15:40:37 2022  
Sun May  8 15:40:37 2022  commencing square root phase
Sun May  8 15:40:37 2022  reading relations for dependency 1
Sun May  8 15:40:37 2022  read 179126 cycles
Sun May  8 15:40:38 2022  cycles contain 614622 unique relations
Sun May  8 15:40:43 2022  read 614622 relations
Sun May  8 15:40:44 2022  multiplying 614622 relations
Sun May  8 15:40:52 2022  multiply complete, coefficients have about 16.29 million bits
Sun May  8 15:40:52 2022  initial square root is modulo 2279690771
Sun May  8 15:41:01 2022  sqrtTime: 24
Sun May  8 15:41:01 2022  p53 factor: 32911526761807932036035066712659373429319843772048221
Sun May  8 15:41:01 2022  p85 factor: 1444352852630126006992840724808221046652878142279041392832591579681810164236175857957
Sun May  8 15:41:01 2022  elapsed time 00:00:24
Sun May 08 15:41:01 2022 -> Computing time scale for this machine...
Sun May 08 15:41:01 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10152+49

c147

name 名前Bob Backstrom
date 日付May 9, 2022 12:09:31 UTC 2022 年 5 月 9 日 (月) 21 時 9 分 31 秒 (日本時間)
composite number 合成数
126966616043570466514943712471143070545148166597760377756240796534319248474700546008096424387678746399635644547532728765651217799221793634573896163<147>
prime factors 素因数
561980250191307767319499962360060499290099351074977958102737021111872373<72>
225927185164156286888035153604631717529829389291169473974355248388390186231<75>
factorization results 素因数分解の結果
Number: n
N=126966616043570466514943712471143070545148166597760377756240796534319248474700546008096424387678746399635644547532728765651217799221793634573896163  ( 147 digits)
SNFS difficulty: 153 digits.
Divisors found:

Mon May  9 22:04:42 2022  p72 factor: 561980250191307767319499962360060499290099351074977958102737021111872373
Mon May  9 22:04:42 2022  p75 factor: 225927185164156286888035153604631717529829389291169473974355248388390186231
Mon May  9 22:04:42 2022  elapsed time 00:05:14 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.325).
Factorization parameters were as follows:
#
# N = 59x10^152+4 = 65(151)6
#
n: 126966616043570466514943712471143070545148166597760377756240796534319248474700546008096424387678746399635644547532728765651217799221793634573896163
m: 1000000000000000000000000000000
deg: 5
c5: 1475
c0: 1
skew: 0.23
# Murphy_E = 1.378e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1205415 hash collisions in 14843449 relations (14661631 unique)
Msieve: matrix is 307088 x 307319 (103.3 MB)

Sieving start time : 2022/05/09 21:22:07
Sieving end time  : 2022/05/09 21:52:42

Total sieving time: 0hrs 30min 35secs.

Total relation processing time: 0hrs 1min 37sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 30sec.

Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10154+49

c138

name 名前Ignacio Santos
date 日付May 15, 2022 09:06:51 UTC 2022 年 5 月 15 日 (日) 18 時 6 分 51 秒 (日本時間)
composite number 合成数
534813221973327798879266060332869309340587287291960246587661763536932908122511088115467907928255313324724579115483573892358240759760030401<138>
prime factors 素因数
702795690171911493004498046642020405307<39>
760979655186141864657946746211636384056520977424287211921940924860438071487357942133978033388174643<99>
factorization results 素因数分解の結果
N=534813221973327798879266060332869309340587287291960246587661763536932908122511088115467907928255313324724579115483573892358240759760030401
  ( 138 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=702795690171911493004498046642020405307 (pp39)
 r2=760979655186141864657946746211636384056520977424287211921940924860438071487357942133978033388174643 (pp99)
Version: Msieve v. 1.52 (SVN 927)
Total time: 10.36 hours.
Scaled time: 81.42 units (timescale=7.862).
Factorization parameters were as follows:
n: 534813221973327798879266060332869309340587287291960246587661763536932908122511088115467907928255313324724579115483573892358240759760030401
m: 5000000000000000000000000000000
deg: 5
c5: 236
c0: 5
skew: 0.46
# Murphy_E = 9.773e-10
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, 2200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 468830 x 469057
Total sieving time: 10.27 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,155.000,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 10.36 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 16:22:25 UTC 2022 年 5 月 15 日 (日) 1 時 22 分 25 秒 (日本時間)

59×10155+49

c98

name 名前Ignacio Santos
date 日付May 7, 2022 18:50:20 UTC 2022 年 5 月 8 日 (日) 3 時 50 分 20 秒 (日本時間)
composite number 合成数
11697381666013226145435021132478343567385818394145746187807181293240686250688169687868828661267269<98>
prime factors 素因数
5326063439037201810727759832619444811<37>
2196252785927719695150747691041413614873117526564163724015279<61>
factorization results 素因数分解の結果
prp61 = 2196252785927719695150747691041413614873117526564163724015279
prp37 = 5326063439037201810727759832619444811
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10156+49

c146

name 名前Bob Backstrom
date 日付May 9, 2022 14:52:20 UTC 2022 年 5 月 9 日 (月) 23 時 52 分 20 秒 (日本時間)
composite number 合成数
23068514372003445956866432812494308398798280442589616958623034872221241283539102502253070953372918814880847252238953377988770742415115754537154769<146>
prime factors 素因数
1008907276556165167578865090452028775418372171944983345498628125517<67>
22864850822313637836831912350252929114182732581614931023369390994446656712855957<80>
factorization results 素因数分解の結果
Number: n
N=23068514372003445956866432812494308398798280442589616958623034872221241283539102502253070953372918814880847252238953377988770742415115754537154769  ( 146 digits)
SNFS difficulty: 157 digits.
Divisors found:

Tue May 10 00:47:29 2022  p67 factor: 1008907276556165167578865090452028775418372171944983345498628125517
Tue May 10 00:47:29 2022  p80 factor: 22864850822313637836831912350252929114182732581614931023369390994446656712855957
Tue May 10 00:47:29 2022  elapsed time 00:06:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 59x10^156+4 = 65(155)6
#
n: 23068514372003445956866432812494308398798280442589616958623034872221241283539102502253070953372918814880847252238953377988770742415115754537154769
m: 10000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 8.979e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1337846 hash collisions in 16908015 relations (16334014 unique)
Msieve: matrix is 556313 x 556556 (77.9 MB)

Sieving start time : 2022/05/10 00:04:38
Sieving end time  : 2022/05/10 00:40:28

Total sieving time: 0hrs 35min 50secs.

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

Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10158+49

c148

name 名前Bob Backstrom
date 日付May 9, 2022 10:26:22 UTC 2022 年 5 月 9 日 (月) 19 時 26 分 22 秒 (日本時間)
composite number 合成数
7355618305491543014221437622364476526088481359973650340863195400035477555376612471829960987641805941965440655692126513261004384476324308262368953379<148>
prime factors 素因数
129251129839276339001788365216445730178777307420501903<54>
56909508757395371377564030184296579602666005689412130381555781437492176385811976468926125518893<95>
factorization results 素因数分解の結果
Number: n
N=7355618305491543014221437622364476526088481359973650340863195400035477555376612471829960987641805941965440655692126513261004384476324308262368953379  ( 148 digits)
SNFS difficulty: 159 digits.
Divisors found:

Mon May  9 20:21:30 2022  p54 factor: 129251129839276339001788365216445730178777307420501903
Mon May  9 20:21:30 2022  p95 factor: 56909508757395371377564030184296579602666005689412130381555781437492176385811976468926125518893
Mon May  9 20:21:30 2022  elapsed time 00:06:21 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 59x10^158+4 = 65(157)6
#
n: 7355618305491543014221437622364476526088481359973650340863195400035477555376612471829960987641805941965440655692126513261004384476324308262368953379
m: 10000000000000000000000000000000
deg: 5
c5: 14750
c0: 1
skew: 0.15
# Murphy_E = 6.852e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1391438 hash collisions in 14508174 relations (14054107 unique)
Msieve: matrix is 403025 x 403251 (134.7 MB)

Sieving start time : 2022/05/09 19:21:04
Sieving end time  : 2022/05/09 20:10:15

Total sieving time: 0hrs 49min 11secs.

Total relation processing time: 0hrs 2min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 45sec.

Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] 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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10159+49

c96

name 名前Ignacio Santos
date 日付May 7, 2022 18:46:34 UTC 2022 年 5 月 8 日 (日) 3 時 46 分 34 秒 (日本時間)
composite number 合成数
117791752036603298002444409031760495414670855728953220562591296412022538499437755464467945832597<96>
prime factors 素因数
9703796077824001524452946055346040707271673799<46>
12138729121255107214224781201785478261967554628803<50>
factorization results 素因数分解の結果
prp46 = 9703796077824001524452946055346040707271673799
prp50 = 12138729121255107214224781201785478261967554628803
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10160+49

c106

name 名前Eric Jeancolas
date 日付May 9, 2022 07:43:54 UTC 2022 年 5 月 9 日 (月) 16 時 43 分 54 秒 (日本時間)
composite number 合成数
2331250488619946644545651127578470365204903407727020287540295956631649582376438370159066047166124189117799<106>
prime factors 素因数
60048128427893480166120337876492236511823163342509<50>
38823033284365231533837111607710977453997853412663427811<56>
factorization results 素因数分解の結果
2331250488619946644545651127578470365204903407727020287540295956631649582376438370159066047166124189117799=60048128427893480166120337876492236511823163342509*38823033284365231533837111607710977453997853412663427811

cado polynomial
n: 2331250488619946644545651127578470365204903407727020287540295956631649582376438370159066047166124189117799
skew: 5003.956
c0: -198070695483863957343135
c1: 69513654217241327288
c2: 28679423791778190
c3: 2343667926133
c4: -215245440
c5: -81900
Y0: -210206316572380628656
Y1: 4693955188668023
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.225e-06
# f(x) = -81900*x^5-215245440*x^4+2343667926133*x^3+28679423791778190*x^2+69513654217241327288*x-198070695483863957343135
# g(x) = 4693955188668023*x-210206316572380628656

cado parameters (extracts)
tasks.lim0 = 1000000
tasks.lim1 = 1600000
tasks.lpb0 = 25
tasks.lpb1 = 26
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 52
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 60048128427893480166120337876492236511823163342509 38823033284365231533837111607710977453997853412663427811
Info:Square Root: Total cpu/real time for sqrt: 66.35/20.0893
Info:Filtering - Singleton removal: Total cpu/real time for purge: 37.45/42.3036
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 4884413
Info:Lattice Sieving: Average J: 1896.88 for 51147 special-q, max bucket fill -bkmult 1.0,1s:1.292020
Info:Lattice Sieving: Total time: 4834.76s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.414081
Info:Linear Algebra: Total cpu/real time for bwc: 612.41/161.99
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 359.45, WCT time 93.46, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7168 iterations)
Info:Linear Algebra: Lingen CPU time 31.77, WCT time 8.12
Info:Linear Algebra: Mksol: CPU time 204.34,  WCT time 53.83, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3584 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.36/16.4349
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 18.37/19.2964
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 18.9s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 146.71
Info:Polynomial Selection (root optimized): Rootsieve time: 146.11
Info:Filtering - Merging: Merged matrix has 226844 rows and total weight 32922097 (145.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 29.76/9.1692
Info:Filtering - Merging: Total cpu/real time for replay: 7.21/5.76148
Info:Quadratic Characters: Total cpu/real time for characters: 8.43/3.23297
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 9952.64
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 9851/29.970/37.304/43.050/1.086
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7543/29.910/33.076/37.750/0.870
Info:Polynomial Selection (size optimized): Total time: 495.18
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.82/63.8014
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 45.79999999999999s
Info:Square Root: Total cpu/real time for sqrt: 66.35/20.0893
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 10220.1/2936.92
Info:root: Cleaning up computation data in /tmp/cado.vhi09t8n
60048128427893480166120337876492236511823163342509 38823033284365231533837111607710977453997853412663427811
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10163+49

c135

name 名前Bob Backstrom
date 日付June 2, 2022 00:28:06 UTC 2022 年 6 月 2 日 (木) 9 時 28 分 6 秒 (日本時間)
composite number 合成数
381804440337107247098016730999840510256493956525198902942269565230686049725819054970278714395574790718626262909135894591354874046142501<135>
prime factors 素因数
86873408325063521592642204728192908283508514243803647<53>
4394951777515954537766470542705064141620464602018704451802966125503102728913323483<82>
factorization results 素因数分解の結果
Number: n
N=381804440337107247098016730999840510256493956525198902942269565230686049725819054970278714395574790718626262909135894591354874046142501  ( 135 digits)
SNFS difficulty: 164 digits.
Divisors found:

Thu Jun  2 10:25:05 2022  p53 factor: 86873408325063521592642204728192908283508514243803647
Thu Jun  2 10:25:05 2022  p82 factor: 4394951777515954537766470542705064141620464602018704451802966125503102728913323483
Thu Jun  2 10:25:05 2022  elapsed time 00:07:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.320).
Factorization parameters were as follows:
#
# N = 59x10^163+4 = 65(162)6
#
n: 381804440337107247098016730999840510256493956525198902942269565230686049725819054970278714395574790718626262909135894591354874046142501
m: 100000000000000000000000000000000
deg: 5
c5: 14750
c0: 1
skew: 0.15
# Murphy_E = 4.381e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1067410 hash collisions in 12452493 relations (12189182 unique)
Msieve: matrix is 510184 x 510412 (175.4 MB)

Sieving start time : 2022/06/02 09:31:05
Sieving end time  : 2022/06/02 10:17:11

Total sieving time: 0hrs 46min 6secs.

Total relation processing time: 0hrs 4min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 35sec.

Prototype def-par.txt line would be:
snfs,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 12:12:13 UTC 2022 年 5 月 14 日 (土) 21 時 12 分 13 秒 (日本時間)

59×10164+49

c158

name 名前Bob Backstrom
date 日付May 8, 2022 20:13:03 UTC 2022 年 5 月 9 日 (月) 5 時 13 分 3 秒 (日本時間)
composite number 合成数
19358646594624414891468930559983435823258207741324593147199224478180462563507680716936123934081747797835829305980182546918829903552072784101361716075379446207<158>
prime factors 素因数
982563668326346186324373086878790356009<39>
19702180345828422665973037744693185835877498642555924385321082602346612996673027017116788511971229766375017107814362023<119>
factorization results 素因数分解の結果
Number: n
N=19358646594624414891468930559983435823258207741324593147199224478180462563507680716936123934081747797835829305980182546918829903552072784101361716075379446207  ( 158 digits)
SNFS difficulty: 165 digits.
Divisors found:

Mon May  9 06:08:06 2022  p39 factor: 982563668326346186324373086878790356009
Mon May  9 06:08:06 2022  p119 factor: 19702180345828422665973037744693185835877498642555924385321082602346612996673027017116788511971229766375017107814362023
Mon May  9 06:08:06 2022  elapsed time 00:10:59 (Msieve 1.54 - dependency 6)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 59x10^164+4 = 65(163)6
#
n: 19358646594624414891468930559983435823258207741324593147199224478180462563507680716936123934081747797835829305980182546918829903552072784101361716075379446207
m: 500000000000000000000000000000000
deg: 5
c5: 236
c0: 5
skew: 0.46
# Murphy_E = 3.998e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1544118 hash collisions in 16877837 relations (16059804 unique)
Msieve: matrix is 547008 x 547234 (183.1 MB)

Sieving start time : 2022/05/09 04:42:58
Sieving end time  : 2022/05/09 05:56:48

Total sieving time: 1hrs 13min 50secs.

Total relation processing time: 0hrs 4min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 48sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10165+49

c134

name 名前Bob Backstrom
date 日付June 8, 2022 18:28:49 UTC 2022 年 6 月 9 日 (木) 3 時 28 分 49 秒 (日本時間)
composite number 合成数
11484800009650793289044920457116293368146526871016424870259405326743234904945097137340376128087414943644283524992852333106122486041807<134>
prime factors 素因数
1038909899851636855841631100492131465518776680294540784340573<61>
11054664135254556740450777039457733472590431768477720722246187653916876059<74>
factorization results 素因数分解の結果
Number: n
N=11484800009650793289044920457116293368146526871016424870259405326743234904945097137340376128087414943644283524992852333106122486041807  ( 134 digits)
SNFS difficulty: 166 digits.
Divisors found:

Thu Jun  9 04:25:53 2022  p61 factor: 1038909899851636855841631100492131465518776680294540784340573
Thu Jun  9 04:25:53 2022  p74 factor: 11054664135254556740450777039457733472590431768477720722246187653916876059
Thu Jun  9 04:25:53 2022  elapsed time 00:07:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 59x10^165+4 = 65(164)6
#
n: 11484800009650793289044920457116293368146526871016424870259405326743234904945097137340376128087414943644283524992852333106122486041807
m: 1000000000000000000000000000000000
deg: 5
c5: 59
c0: 4
skew: 0.58
# Murphy_E = 4.307e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1110558 hash collisions in 11848584 relations (11472944 unique)
Msieve: matrix is 498177 x 498404 (171.6 MB)

Sieving start time : 2022/06/09 03:40:50
Sieving end time  : 2022/06/09 04:18:12

Total sieving time: 0hrs 37min 22secs.

Total relation processing time: 0hrs 4min 0sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 28sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119995] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154118] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.10 BogoMIPS (lpj=12798204)
[    0.152030] smpboot: Total of 16 processors activated (102385.63 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 14, 2022 11:55:19 UTC 2022 年 5 月 14 日 (土) 20 時 55 分 19 秒 (日本時間)

59×10170+49

c143

name 名前Bob Backstrom
date 日付May 14, 2022 08:26:15 UTC 2022 年 5 月 14 日 (土) 17 時 26 分 15 秒 (日本時間)
composite number 合成数
18131251595019227216791121349756699430552894187493469722261113045604093975897106870640712752272424054561425943480157861946842703236385951833347<143>
prime factors 素因数
739965210881428377823526576059374317670110826578774500365142779859<66>
24502843280188437254057563350165304034872520101837279292601895141938644822033<77>
factorization results 素因数分解の結果
Number: n
N=18131251595019227216791121349756699430552894187493469722261113045604093975897106870640712752272424054561425943480157861946842703236385951833347  ( 143 digits)
SNFS difficulty: 171 digits.
Divisors found:

Sat May 14 18:22:12 2022  p66 factor: 739965210881428377823526576059374317670110826578774500365142779859
Sat May 14 18:22:12 2022  p77 factor: 24502843280188437254057563350165304034872520101837279292601895141938644822033
Sat May 14 18:22:12 2022  elapsed time 00:09:56 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 59x10^170+4 = 65(169)6
#
n: 18131251595019227216791121349756699430552894187493469722261113045604093975897106870640712752272424054561425943480157861946842703236385951833347
m: 10000000000000000000000000000000000
deg: 5
c5: 59
c0: 4
skew: 0.58
# Murphy_E = 2.731e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2134734 hash collisions in 17153703 relations (16055267 unique)
Msieve: matrix is 562822 x 563050 (192.4 MB)

Sieving start time : 2022/05/14 17:31:30
Sieving end time  : 2022/05/14 18:11:56

Total sieving time: 0hrs 40min 26secs.

Total relation processing time: 0hrs 4min 44sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 1sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 10, 2022 19:00:43 UTC 2022 年 5 月 11 日 (水) 4 時 0 分 43 秒 (日本時間)

59×10171+49

c167

name 名前Bob Backstrom
date 日付May 9, 2022 23:48:26 UTC 2022 年 5 月 10 日 (火) 8 時 48 分 26 秒 (日本時間)
composite number 合成数
40256660089137797865168845984841661685757875976735744366114536338800051310183706833261007808427424747338284220208024585219937827341231826506076708724641715725206673599<167>
prime factors 素因数
9729910665130492323217445719956195608792941475077<49>
4137413124809804943301816310040380350140653943114920389782508625348796610783821953882657264998437026982866548511244787<118>
factorization results 素因数分解の結果
Number: n
N=40256660089137797865168845984841661685757875976735744366114536338800051310183706833261007808427424747338284220208024585219937827341231826506076708724641715725206673599  ( 167 digits)
SNFS difficulty: 172 digits.
Divisors found:

Tue May 10 09:41:46 2022  p49 factor: 9729910665130492323217445719956195608792941475077
Tue May 10 09:41:46 2022  p118 factor: 4137413124809804943301816310040380350140653943114920389782508625348796610783821953882657264998437026982866548511244787
Tue May 10 09:41:46 2022  elapsed time 00:11:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.340).
Factorization parameters were as follows:
#
# N = 59x10^171+4 = 65(170)6
#
n: 40256660089137797865168845984841661685757875976735744366114536338800051310183706833261007808427424747338284220208024585219937827341231826506076708724641715725206673599
m: 10000000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 2.32e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1201511 hash collisions in 14671310 relations (14122572 unique)
Msieve: matrix is 701545 x 701770 (241.8 MB)

Sieving start time : 2022/05/10 07:35:53
Sieving end time  : 2022/05/10 09:29:33

Total sieving time: 1hrs 53min 40secs.

Total relation processing time: 0hrs 7min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10172+49

c167

name 名前Bob Backstrom
date 日付May 9, 2022 21:37:40 UTC 2022 年 5 月 10 日 (火) 6 時 37 分 40 秒 (日本時間)
composite number 合成数
14449951100385818592668809961786492028966127061407981682752156300075815709536193796670280623928315702923504310053041606944284025495787618831254646638936475761749989983<167>
prime factors 素因数
5208126408084249257219546263398633213301443883234843035850731679151<67>
2774500841215386444522221240291835196148519127527650862130002303777595991818818486376044511810878033<100>
factorization results 素因数分解の結果
Number: n
N=14449951100385818592668809961786492028966127061407981682752156300075815709536193796670280623928315702923504310053041606944284025495787618831254646638936475761749989983  ( 167 digits)
SNFS difficulty: 173 digits.
Divisors found:

Tue May 10 07:33:14 2022  p67 factor: 5208126408084249257219546263398633213301443883234843035850731679151
Tue May 10 07:33:14 2022  p100 factor: 2774500841215386444522221240291835196148519127527650862130002303777595991818818486376044511810878033
Tue May 10 07:33:14 2022  elapsed time 00:13:47 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.345).
Factorization parameters were as follows:
#
# N = 59x10^172+4 = 65(171)6
#
n: 14449951100385818592668809961786492028966127061407981682752156300075815709536193796670280623928315702923504310053041606944284025495787618831254646638936475761749989983
m: 10000000000000000000000000000000000
deg: 5
c5: 1475
c0: 1
skew: 0.23
# Murphy_E = 2.287e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 37100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1411158 hash collisions in 14927313 relations (14497445 unique)
Msieve: matrix is 741536 x 741765 (256.1 MB)

Sieving start time : 2022/05/10 03:32:49
Sieving end time  : 2022/05/10 07:18:44

Total sieving time: 3hrs 45min 55secs.

Total relation processing time: 0hrs 8min 20sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 40sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10174+49

c166

name 名前Bob Backstrom
date 日付May 11, 2022 01:09:55 UTC 2022 年 5 月 11 日 (水) 10 時 9 分 55 秒 (日本時間)
composite number 合成数
6713526636538443728797069928590019578359604038966315399887434048550268382057289980142011770576372105669687624844428414454484653248376935410790137584679947412395119233<166>
prime factors 素因数
24061930485312485463203616181109869137893529459112635720419<59>
279010308031452907900514106846002650595261587597170505109854801651560044352839732885034782180594704465157707<108>
factorization results 素因数分解の結果
Number: n
N=6713526636538443728797069928590019578359604038966315399887434048550268382057289980142011770576372105669687624844428414454484653248376935410790137584679947412395119233  ( 166 digits)
SNFS difficulty: 175 digits.
Divisors found:

Wed May 11 11:05:50 2022  p59 factor: 24061930485312485463203616181109869137893529459112635720419
Wed May 11 11:05:50 2022  p108 factor: 279010308031452907900514106846002650595261587597170505109854801651560044352839732885034782180594704465157707
Wed May 11 11:05:50 2022  elapsed time 00:17:26 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 59x10^174+4 = 65(173)6
#
n: 6713526636538443728797069928590019578359604038966315399887434048550268382057289980142011770576372105669687624844428414454484653248376935410790137584679947412395119233
m: 50000000000000000000000000000000000
deg: 5
c5: 236
c0: 5
skew: 0.46
# Murphy_E = 1.604e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 15800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4542999 hash collisions in 31065011 relations (28092028 unique)
Msieve: matrix is 722440 x 722669 (242.4 MB)

Sieving start time : 2022/05/11 09:15:38
Sieving end time  : 2022/05/11 10:47:54

Total sieving time: 1hrs 32min 16secs.

Total relation processing time: 0hrs 7min 46sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,52,52,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10176+49

c132

name 名前Bob Backstrom
date 日付June 16, 2022 07:27:02 UTC 2022 年 6 月 16 日 (木) 16 時 27 分 2 秒 (日本時間)
composite number 合成数
151945189643702855865490883224121262853008364257664499807571079365256578481228176636486590238385930792234694088800720755078769182013<132>
prime factors 素因数
631593824308811562095762134576331230758994047037141<51>
240574216839414117138907941596706722685489937898191009721488917659160927417761993<81>
factorization results 素因数分解の結果
Number: n
N=151945189643702855865490883224121262853008364257664499807571079365256578481228176636486590238385930792234694088800720755078769182013  ( 132 digits)
SNFS difficulty: 177 digits.
Divisors found:

Thu Jun 16 17:23:16 2022  p51 factor: 631593824308811562095762134576331230758994047037141
Thu Jun 16 17:23:16 2022  p81 factor: 240574216839414117138907941596706722685489937898191009721488917659160927417761993
Thu Jun 16 17:23:16 2022  elapsed time 00:17:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 59x10^176+4 = 65(175)6
#
n: 151945189643702855865490883224121262853008364257664499807571079365256578481228176636486590238385930792234694088800720755078769182013
m: 100000000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 1.464e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3563128 hash collisions in 28748633 relations (26784543 unique)
Msieve: matrix is 809615 x 809841 (276.7 MB)

Sieving start time : 2022/06/16 15:31:00
Sieving end time  : 2022/06/16 17:05:17

Total sieving time: 1hrs 34min 17secs.

Total relation processing time: 0hrs 9min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 51sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6400000,6400000,28,28,53,53,2.5,2.5,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:56:01 UTC 2022 年 5 月 12 日 (木) 3 時 56 分 1 秒 (日本時間)

59×10177+49

c164

name 名前Bob Backstrom
date 日付May 12, 2022 15:45:13 UTC 2022 年 5 月 13 日 (金) 0 時 45 分 13 秒 (日本時間)
composite number 合成数
18698749833334977105558330299964227528302455455926807218307169221033008183372587259198902728509471432962161637766815551292426470867535884935728751032665430484820049<164>
prime factors 素因数
88284434341324849906901699398665161154098975521<47>
86170930953399893759251742180346606385706044037191<50>
2457919458090873352482481514697142329685715710003674220879119861959<67>
factorization results 素因数分解の結果
Number: n
N=18698749833334977105558330299964227528302455455926807218307169221033008183372587259198902728509471432962161637766815551292426470867535884935728751032665430484820049  ( 164 digits)
SNFS difficulty: 178 digits.
Divisors found:

Fri May 13 01:38:33 2022  found factor: 2457919458090873352482481514697142329685715710003674220879119861959
Fri May 13 01:40:13 2022  p47 factor: 88284434341324849906901699398665161154098975521
Fri May 13 01:40:13 2022  p50 factor: 86170930953399893759251742180346606385706044037191
Fri May 13 01:40:13 2022  p67 factor: 2457919458090873352482481514697142329685715710003674220879119861959
Fri May 13 01:40:13 2022  elapsed time 00:19:01 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 59x10^177+4 = 65(176)6
#
n: 18698749833334977105558330299964227528302455455926807218307169221033008183372587259198902728509471432962161637766815551292426470867535884935728751032665430484820049
m: 100000000000000000000000000000000000
deg: 5
c5: 1475
c0: 1
skew: 0.23
# Murphy_E = 1.442e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3940487 hash collisions in 30366173 relations (28095920 unique)
Msieve: matrix is 793970 x 794204 (272.2 MB)

Sieving start time : 2022/05/12 23:57:13
Sieving end time  : 2022/05/13 01:20:44

Total sieving time: 1hrs 23min 31secs.

Total relation processing time: 0hrs 9min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 31sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 11, 2022 18:57:01 UTC 2022 年 5 月 12 日 (木) 3 時 57 分 1 秒 (日本時間)

59×10179+49

c130

name 名前Bob Backstrom
date 日付June 16, 2022 05:19:26 UTC 2022 年 6 月 16 日 (木) 14 時 19 分 26 秒 (日本時間)
composite number 合成数
4502523090890452327769665079584663177038594535494126641979761038205249310042940297877485087144037305829398125844621631023398106093<130>
prime factors 素因数
4458007545235454711768799065393527542450481<43>
1009985524969013141743668107381598697549598714218790645453820753736598500756176158582653<88>
factorization results 素因数分解の結果
Number: n
N=4502523090890452327769665079584663177038594535494126641979761038205249310042940297877485087144037305829398125844621631023398106093  ( 130 digits)
SNFS difficulty: 180 digits.
Divisors found:

Thu Jun 16 15:13:03 2022  p43 factor: 4458007545235454711768799065393527542450481
Thu Jun 16 15:13:03 2022  p88 factor: 1009985524969013141743668107381598697549598714218790645453820753736598500756176158582653
Thu Jun 16 15:13:03 2022  elapsed time 00:20:11 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.350).
Factorization parameters were as follows:
#
# N = 59x10^179+4 = 65(178)6
#
n: 4502523090890452327769665079584663177038594535494126641979761038205249310042940297877485087144037305829398125844621631023398106093
m: 500000000000000000000000000000000000
deg: 5
c5: 236
c0: 5
skew: 0.46
# Murphy_E = 1.009e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2975936 hash collisions in 29292427 relations (28147118 unique)
Msieve: matrix is 811922 x 812148 (276.9 MB)

Sieving start time : 2022/06/16 12:01:57
Sieving end time  : 2022/06/16 14:52:27

Total sieving time: 2hrs 50min 30secs.

Total relation processing time: 0hrs 9min 40sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 26sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 12, 2022 15:46:02 UTC 2022 年 5 月 13 日 (金) 0 時 46 分 2 秒 (日本時間)

59×10182+49

c122

name 名前Eric Jeancolas
date 日付May 10, 2022 13:06:32 UTC 2022 年 5 月 10 日 (火) 22 時 6 分 32 秒 (日本時間)
composite number 合成数
12673983955856163945947179613586235716762394007684544698839456815560257709603817304469183628332316779230972641768753418061<122>
prime factors 素因数
4929112105750989508948985246785081529604881<43>
2571250903599641601673056321138507644070476611204725247006748012326349757126781<79>
factorization results 素因数分解の結果
12673983955856163945947179613586235716762394007684544698839456815560257709603817304469183628332316779230972641768753418061=4929112105750989508948985246785081529604881*2571250903599641601673056321138507644070476611204725247006748012326349757126781

cado polynomial
n: 12673983955856163945947179613586235716762394007684544698839456815560257709603817304469183628332316779230972641768753418061
skew: 204980.701
c0: -472507660789417378045529440650
c1: 23444745670599652311442439
c2: -11513014114036162068
c3: -569124754458119
c4: 2414102598
c5: 3240
Y0: -588152676252651528544468
Y1: 345938296269709
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.323e-06
# f(x) = 3240*x^5+2414102598*x^4-569124754458119*x^3-11513014114036162068*x^2+23444745670599652311442439*x-472507660789417378045529440650
# g(x) = 345938296269709*x-588152676252651528544468

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

cado log (extracts)
Info:Square Root: Factors: 4929112105750989508948985246785081529604881 2571250903599641601673056321138507644070476611204725247006748012326349757126781
Info:Square Root: Total cpu/real time for sqrt: 436.89/129.122
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.86/100.648
Info:Linear Algebra: Total cpu/real time for bwc: 6224.81/1618.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3796.46, WCT time 984.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25344 iterations)
Info:Linear Algebra: Lingen CPU time 146.29, WCT time 37.15
Info:Linear Algebra: Mksol: CPU time 2200.23,  WCT time 568.84, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12800 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13762674
Info:Lattice Sieving: Average J: 1934.6 for 294293 special-q, max bucket fill -bkmult 1.0,1s:1.260760
Info:Lattice Sieving: Total time: 36181.3s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.12/1.36509
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2190.4
Info:Polynomial Selection (root optimized): Rootsieve time: 2188.01
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.6/62.0979
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 61.800000000000004s
Info:Filtering - Merging: Merged matrix has 807239 rows and total weight 80823548 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 59.83/19.9428
Info:Filtering - Merging: Total cpu/real time for replay: 20.28/15.9675
Info:Quadratic Characters: Total cpu/real time for characters: 25.87/9.96978
Info:Generate Free Relations: Total cpu/real time for freerel: 126.59/32.9867
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20072/35.820/43.345/47.720/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16160/35.000/38.373/43.810/0.864
Info:Polynomial Selection (size optimized): Total time: 2241.52
Info:Square Root: Total cpu/real time for sqrt: 436.89/129.122
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 166.45/151.559
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 131.09999999999997s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 78457.7/21428.5
Info:root: Cleaning up computation data in /tmp/cado.gdv5v1kd
4929112105750989508948985246785081529604881 2571250903599641601673056321138507644070476611204725247006748012326349757126781
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:03:30 UTC 2022 年 5 月 8 日 (日) 6 時 3 分 30 秒 (日本時間)

59×10186+49

c163

name 名前Bob Backstrom
date 日付May 17, 2022 04:28:19 UTC 2022 年 5 月 17 日 (火) 13 時 28 分 19 秒 (日本時間)
composite number 合成数
2387756627580595736649896567595880972447452375755450556570052038929971642144765518213140208063083483713286680840873800743699572460290330599797416097642004082484513<163>
prime factors 素因数
96837031977986532565636620119789626179654260816754965864983001322152546249<74>
24657474303047539129799903896704554527098463568503033461011803717245505716349206702851737<89>
factorization results 素因数分解の結果
Number: n
N=2387756627580595736649896567595880972447452375755450556570052038929971642144765518213140208063083483713286680840873800743699572460290330599797416097642004082484513  ( 163 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue May 17 14:22:49 2022  p74 factor: 96837031977986532565636620119789626179654260816754965864983001322152546249
Tue May 17 14:22:49 2022  p89 factor: 24657474303047539129799903896704554527098463568503033461011803717245505716349206702851737
Tue May 17 14:22:49 2022  elapsed time 00:27:18 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 59x10^186+4 = 65(185)6
#
n: 2387756627580595736649896567595880972447452375755450556570052038929971642144765518213140208063083483713286680840873800743699572460290330599797416097642004082484513
m: 10000000000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 5.752e-11
type: snfs
lss: 1
rlim: 9300000
alim: 9300000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9300000/9300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2722255 hash collisions in 28885123 relations (28014673 unique)
Msieve: matrix is 1070895 x 1071121 (372.0 MB)

Sieving start time : 2022/05/17 07:18:39
Sieving end time  : 2022/05/17 13:54:33

Total sieving time: 6hrs 35min 54secs.

Total relation processing time: 0hrs 18min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 14sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9300000,9300000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119221] 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)
[    0.153514] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152035] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 15, 2022 16:07:24 UTC 2022 年 5 月 16 日 (月) 1 時 7 分 24 秒 (日本時間)

59×10187+49

c128

name 名前Ignacio Santos
date 日付May 7, 2022 21:06:59 UTC 2022 年 5 月 8 日 (日) 6 時 6 分 59 秒 (日本時間)
composite number 合成数
15350841648405396955136387004787143015408348075136053091199153239164289641567186512570085732689886006290726957615625396312152659<128>
prime factors 素因数
50034299148369158703527720496291983<35>
composite cofactor 合成数の残り
306806369024672337231339758956337478165000659692733895602059920191435069018683519784549221373<93>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1087720151
Step 1 took 2500ms
Step 2 took 1734ms
********** Factor found in step 1: 50034299148369158703527720496291983
Found prime factor of 35 digits: 50034299148369158703527720496291983
Composite cofactor 306806369024672337231339758956337478165000659692733895602059920191435069018683519784549221373 has 93 digits
 
software ソフトウェア
GMP-ECM

c93

name 名前ivelive
date 日付May 8, 2022 16:37:36 UTC 2022 年 5 月 9 日 (月) 1 時 37 分 36 秒 (日本時間)
composite number 合成数
306806369024672337231339758956337478165000659692733895602059920191435069018683519784549221373<93>
prime factors 素因数
1268937214741641320865083846442797976354071<43>
241782150811251015562132179613488371340588755581963<51>
factorization results 素因数分解の結果
starting SIQS on c93: 306806369024672337231339758956337478165000659692733895602059920191435069018683519784549221373

==== sieve params ====
n = 94 digits, 310 bits
factor base: 83696 primes (max prime = 2262847)
single large prime cutoff: 271541640 (120 * pmax)
double large prime range from 43 to 51 bits
double large prime cutoff: 1516720602011897
allocating 9 large prime slices of factor base
buckets hold 2048 elements
using SSE4.1 enabled 32k sieve core
sieve interval: 16 blocks of size 32768
polynomial A has ~ 12 factors
using multiplier of 5
using SPV correction of 21 bits, starting at offset 34
using SSE2 for x128 sieve scanning
using SSE2 for resieving 13-16 bit primes
using SSE2 for 8x trial divison to 13 bits
using SSE4.1 and inline ASM for small prime sieving
using SSE2 for poly updating up to 15 bits
using SSE4.1 for medium prime poly updating
using SSE4.1 and inline ASM for large prime poly updating
trial factoring cutoff at 99 bits

==== sieving in progress ( 8 threads):   83760 relations needed ====
====            Press ctrl-c to abort and save state            ====
83791 rels found: 24919 full + 58872 from 1015167 partial, (3224.38 rels/sec)

sieving required 622990 total polynomials
trial division touched 37001594 sieve locations out of 653252362240
squfof: 0 failures, 756097 attempts, 9705612 outside range, 3890193 prp, 708380 useful
QS elapsed time = 325.5021 seconds.

==== post processing stage (msieve-1.38) ====
begin with 1052379 relations
reduce to 201238 relations in 10 passes
attempting to read 201238 relations
recovered 201238 relations
recovered 171918 polynomials
freed 58 duplicate relations
attempting to build 85966 cycles
found 85966 cycles in 5 passes
distribution of cycle lengths:
   length 1 : 25180
   length 2 : 18042
   length 3 : 15514
   length 4 : 10756
   length 5 : 7156
   length 6 : 4409
   length 7 : 2396
   length 9+: 2513
largest cycle: 20 relations
matrix is 83696 x 85966 (22.3 MB) with weight 5155585 (59.97/col)
sparse part has weight 5155585 (59.97/col)
filtering completed in 4 passes
matrix is 76023 x 76087 (19.4 MB) with weight 4478656 (58.86/col)
sparse part has weight 4478656 (58.86/col)
saving the first 48 matrix rows for later
matrix is 75975 x 76087 (16.2 MB) with weight 3849738 (50.60/col)
sparse part has weight 3491505 (45.89/col)
matrix includes 64 packed rows
using block size 30434 for processor cache size 12288 kB
commencing Lanczos iteration
memory use: 13.0 MB
lanczos halted after 1202 iterations (dim = 75975)
recovered 18 nontrivial dependencies
Lanczos elapsed time = 16.7300 seconds.
Sqrt elapsed time = 0.1010 seconds.
SIQS elapsed time = 342.3330 seconds.


***factors found***

P51 = 241782150811251015562132179613488371340588755581963
P43 = 1268937214741641320865083846442797976354071

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10188+49

c122

name 名前Eric Jeancolas
date 日付May 10, 2022 13:22:58 UTC 2022 年 5 月 10 日 (火) 22 時 22 分 58 秒 (日本時間)
composite number 合成数
10103569469307005971610701675386083595454203528585429153349290265925035139455438921676983881954579270102871635030997825573<122>
prime factors 素因数
6392984593399974958254930314742560262074840762486368233553<58>
1580415113112862072983557352407799147412991067792688075381928341<64>
factorization results 素因数分解の結果
10103569469307005971610701675386083595454203528585429153349290265925035139455438921676983881954579270102871635030997825573=6392984593399974958254930314742560262074840762486368233553*1580415113112862072983557352407799147412991067792688075381928341

cado polynomial
n: 10103569469307005971610701675386083595454203528585429153349290265925035139455438921676983881954579270102871635030997825573
skew: 10540.338
c0: 102758435020443072946658136
c1: -16108108870854852092575
c2: -1510279735355626067
c3: 3117125347879
c4: 17963354370
c5: 916200
Y0: -174939894316542751189281
Y1: 85281531511005949
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.324e-06
# f(x) = 916200*x^5+17963354370*x^4+3117125347879*x^3-1510279735355626067*x^2-16108108870854852092575*x+102758435020443072946658136
# g(x) = 85281531511005949*x-174939894316542751189281

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

cado log (extracts)
Info:Square Root: Factors: 6392984593399974958254930314742560262074840762486368233553 1580415113112862072983557352407799147412991067792688075381928341
Info:Square Root: Total cpu/real time for sqrt: 1909.98/190.805
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 365.38/263.523
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 231.2s
Info:Quadratic Characters: Total cpu/real time for characters: 32.61/6.42572
Info:Filtering - Singleton removal: Total cpu/real time for purge: 159.28/167.323
Info:Filtering - Merging: Merged matrix has 746516 rows and total weight 74754460 (100.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 78.51/14.2122
Info:Filtering - Merging: Total cpu/real time for replay: 17.89/12.9574
Info:Square Root: Total cpu/real time for sqrt: 1909.98/190.805
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13671566
Info:Lattice Sieving: Average J: 1899.78 for 290351 special-q, max bucket fill -bkmult 1.0,1s:1.179560
Info:Lattice Sieving: Total time: 113102s
Info:Generate Free Relations: Total cpu/real time for freerel: 245.44/21.7019
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 149.95/131.407
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 130.9s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20084/35.760/43.285/48.310/1.038
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16107/35.240/38.334/43.840/0.867
Info:Polynomial Selection (size optimized): Total time: 4349.57
Info:Generate Factor Base: Total cpu/real time for makefb: 6.09/0.706753
Info:Linear Algebra: Total cpu/real time for bwc: 8030.83/1519.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 4780.23, WCT time 927.75, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (23552 iterations)
Info:Linear Algebra: Lingen CPU time 433.95, WCT time 38.47
Info:Linear Algebra: Mksol: CPU time 2742.16,  WCT time 533.16, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (11776 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4657.37
Info:Polynomial Selection (root optimized): Rootsieve time: 4652.23
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 196515/13648.6
6392984593399974958254930314742560262074840762486368233553 1580415113112862072983557352407799147412991067792688075381928341
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:02:54 UTC 2022 年 5 月 8 日 (日) 6 時 2 分 54 秒 (日本時間)

59×10191+49

c151

name 名前Bob Backstrom
date 日付May 18, 2022 13:00:37 UTC 2022 年 5 月 18 日 (水) 22 時 0 分 37 秒 (日本時間)
composite number 合成数
1592172567225662051290054714911530766876475968590398266418872852081863083130959304091498724934440405255390566568810682774927264103459370687684033867867<151>
prime factors 素因数
7189828889113347427697736183659828874127323717165167<52>
221447908118715939101364284829546398805775809788666606265833502277839940969453225116328580811558101<99>
factorization results 素因数分解の結果
Number: n
N=1592172567225662051290054714911530766876475968590398266418872852081863083130959304091498724934440405255390566568810682774927264103459370687684033867867  ( 151 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed May 18 22:55:20 2022  p52 factor: 7189828889113347427697736183659828874127323717165167
Wed May 18 22:55:20 2022  p99 factor: 221447908118715939101364284829546398805775809788666606265833502277839940969453225116328580811558101
Wed May 18 22:55:20 2022  elapsed time 00:35:43 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 59x10^191+4 = 65(190)6
#
n: 1592172567225662051290054714911530766876475968590398266418872852081863083130959304091498724934440405255390566568810682774927264103459370687684033867867
m: 100000000000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 3.582e-11
type: snfs
lss: 1
rlim: 11300000
alim: 11300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11300000/11300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3214202 hash collisions in 29703251 relations (28295922 unique)
Msieve: matrix is 1235906 x 1236132 (432.5 MB)

Sieving start time : 2022/05/18 18:48:53
Sieving end time  : 2022/05/18 22:19:05

Total sieving time: 3hrs 30min 12secs.

Total relation processing time: 0hrs 26min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11300000,11300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118046] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154085] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.14 BogoMIPS (lpj=12798292)
[    0.152007] smpboot: Total of 16 processors activated (102386.33 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 17, 2022 17:45:36 UTC 2022 年 5 月 18 日 (水) 2 時 45 分 36 秒 (日本時間)

59×10193+49

c163

name 名前Bob Backstrom
date 日付July 15, 2022 18:19:41 UTC 2022 年 7 月 16 日 (土) 3 時 19 分 41 秒 (日本時間)
composite number 合成数
7445587733115491993070520647071404448454251158365058869845633915501437761029312709963335751598473331125606197356120287151199749968579258032828762302985979713856917<163>
prime factors 素因数
189787741257674017144572623446800728269<39>
39231130966497192670670699788692911395778696458024270525569266078118895474891125262640782332450241647102685099767745851529193<125>
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 7445587733115491993070520647071404448454251158365058869845633915501437761029312709963335751598473331125606197356120287151199749968579258032828762302985979713856917 (163 digits)
Using B1=15930000, B2=58558467250, polynomial Dickson(12), sigma=1:1360196849
Step 1 took 37131ms
Step 2 took 15902ms
********** Factor found in step 2: 189787741257674017144572623446800728269
Found prime factor of 39 digits: 189787741257674017144572623446800728269
Prime cofactor 39231130966497192670670699788692911395778696458024270525569266078118895474891125262640782332450241647102685099767745851529193 has 125 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10195+49

c163

name 名前Bob Backstrom
date 日付September 7, 2022 05:14:09 UTC 2022 年 9 月 7 日 (水) 14 時 14 分 9 秒 (日本時間)
composite number 合成数
1803519808651408020352483696525277382670799694072713774810913860164683176778303853597605033162881460535635808597432216916125453251997437530375308993461072497099017<163>
prime factors 素因数
2691106452845313572796468055461530755300045602267159976494793041449494864553<76>
670177802421952510624168187846438766405675061433741051657046035705238288905115194574689<87>
factorization results 素因数分解の結果
Number: n
N=1803519808651408020352483696525277382670799694072713774810913860164683176778303853597605033162881460535635808597432216916125453251997437530375308993461072497099017  ( 163 digits)
SNFS difficulty: 196 digits.
Divisors found:

Wed Sep  7 15:08:48 2022  p76 factor: 2691106452845313572796468055461530755300045602267159976494793041449494864553
Wed Sep  7 15:08:48 2022  p87 factor: 670177802421952510624168187846438766405675061433741051657046035705238288905115194574689
Wed Sep  7 15:08:48 2022  elapsed time 01:02:55 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 59x10^195+4 = 65(194)6
#
n: 1803519808651408020352483696525277382670799694072713774810913860164683176778303853597605033162881460535635808597432216916125453251997437530375308993461072497099017
m: 1000000000000000000000000000000000000000
deg: 5
c5: 59
c0: 4
skew: 0.58
# Murphy_E = 2.62e-11
type: snfs
lss: 1
rlim: 13300000
alim: 13300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13300000/13300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3147189 hash collisions in 28375898 relations (26907262 unique)
Msieve: matrix is 1494623 x 1494849 (520.2 MB)

Sieving start time : 2022/09/07 09:36:18
Sieving end time  : 2022/09/07 14:05:22

Total sieving time: 4hrs 29min 4secs.

Total relation processing time: 0hrs 47min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 45sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13300000,13300000,28,28,55,55,2.5,2.5,100000
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 JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:41:13 UTC 2022 年 7 月 26 日 (火) 18 時 41 分 13 秒 (日本時間)

59×10196+49

c141

name 名前Bob Backstrom
date 日付August 23, 2022 18:01:20 UTC 2022 年 8 月 24 日 (水) 3 時 1 分 20 秒 (日本時間)
composite number 合成数
647919175885042706932868372754776142407378085680669049333732676561421421309681071290069400621347476808462366587043983705033669837518324679553<141>
prime factors 素因数
24089846072455072629945850552959948181877<41>
26895945035775448955328592423417410809887648374197008068144503177429107082398178026348762603303402589<101>
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 647919175885042706932868372754776142407378085680669049333732676561421421309681071290069400621347476808462366587043983705033669837518324679553 (141 digits)
Using B1=26250000, B2=144285831706, polynomial Dickson(12), sigma=1:3847642696
Step 1 took 53951ms
Step 2 took 21846ms
********** Factor found in step 2: 24089846072455072629945850552959948181877
Found prime factor of 41 digits: 24089846072455072629945850552959948181877
Prime cofactor 26895945035775448955328592423417410809887648374197008068144503177429107082398178026348762603303402589 has 101 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 12:39:17 UTC 2022 年 7 月 26 日 (火) 21 時 39 分 17 秒 (日本時間)

59×10197+49

c138

name 名前Eric Jeancolas
date 日付August 22, 2022 03:45:27 UTC 2022 年 8 月 22 日 (月) 12 時 45 分 27 秒 (日本時間)
composite number 合成数
630604151156536851053844450804788407455775705788715998104093477274646134645345816243091792055914498267712955823916172304754004211228857721<138>
prime factors 素因数
46440413205175653530241127520757216572934252222748908938501813<62>
13578779938294299903641773751233493902447400375531096887504918850465567691317<77>
factorization results 素因数分解の結果
630604151156536851053844450804788407455775705788715998104093477274646134645345816243091792055914498267712955823916172304754004211228857721=46440413205175653530241127520757216572934252222748908938501813*13578779938294299903641773751233493902447400375531096887504918850465567691317

cado polynomial
n: 630604151156536851053844450804788407455775705788715998104093477274646134645345816243091792055914498267712955823916172304754004211228857721
skew: 219601.546
c0: -172048849015357538219963498413810
c1: -4468604794736194624710732223
c2: -11076510054397465831794
c3: 89902647008153683
c4: -316841685656
c5: 545160
Y0: -319879638114319797018890724
Y1: 203209129943899101457
# MurphyE (Bf=5.369e+08,Bg=2.684e+08,area=2.023e+14) = 2.903e-07
# f(x) = 545160*x^5-316841685656*x^4+89902647008153683*x^3-11076510054397465831794*x^2-4468604794736194624710732223*x-172048849015357538219963498413810
# g(x) = 203209129943899101457*x-319879638114319797018890724

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: 46440413205175653530241127520757216572934252222748908938501813 13578779938294299903641773751233493902447400375531096887504918850465567691317
Info:Square Root: Total cpu/real time for sqrt: 1437.86/418.257
Info:Filtering - Singleton removal: Total cpu/real time for purge: 151.87/169.486
Info:Filtering - Merging: Merged matrix has 1757622 rows and total weight 298895204 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 426.13/119.947
Info:Filtering - Merging: Total cpu/real time for replay: 69.71/59.8872
Info:Generate Factor Base: Total cpu/real time for makefb: 11.66/3.24736
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 32843129
Info:Lattice Sieving: Average J: 3808.03 for 761401 special-q, max bucket fill -bkmult 1.0,1s:1.160080
Info:Lattice Sieving: Total time: 274789s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6632.04
Info:Polynomial Selection (root optimized): Rootsieve time: 6629.61
Info:Linear Algebra: Total cpu/real time for bwc: 51142.7/13135
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 33138.88, WCT time 8457.53, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (55040 iterations)
Info:Linear Algebra: Lingen CPU time 345.74, WCT time 87.79
Info:Linear Algebra: Mksol: CPU time 17333.66,  WCT time 4467.23, iteration CPU time 0.15, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (27648 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66540/40.660/49.584/54.490/0.953
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54683/39.850/44.184/50.220/0.983
Info:Polynomial Selection (size optimized): Total time: 22777.2
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 388.7/325.008
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 303.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 499.03/125.876
Info:Square Root: Total cpu/real time for sqrt: 1437.86/418.257
Info:Quadratic Characters: Total cpu/real time for characters: 68.74/30.3354
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 150.32/158.253
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 158.2s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 597813/160496
Info:root: Cleaning up computation data in /tmp/cado.ejfhvv2f
46440413205175653530241127520757216572934252222748908938501813 13578779938294299903641773751233493902447400375531096887504918850465567691317
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosAugust 19, 2022 16:16:47 UTC 2022 年 8 月 20 日 (土) 1 時 16 分 47 秒 (日本時間)

59×10198+49

c118

name 名前Ignacio Santos
date 日付May 7, 2022 21:01:32 UTC 2022 年 5 月 8 日 (日) 6 時 1 分 32 秒 (日本時間)
composite number 合成数
3859006703358294333130235882865525176844632768363169077113531744158252240217326808066251446537818892037816882923348209<118>
prime factors 素因数
4447160509224879873039475423445615329<37>
867746215895162706903153619164101072627613671925562687370897222976912883969224721<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1427122695
Step 1 took 4765ms
Step 2 took 2844ms
********** Factor found in step 2: 4447160509224879873039475423445615329
Found prime factor of 37 digits: 4447160509224879873039475423445615329
Prime cofactor 867746215895162706903153619164101072627613671925562687370897222976912883969224721 has 81 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10199+49

c141

name 名前Eric Jeancolas
date 日付January 15, 2023 21:09:48 UTC 2023 年 1 月 16 日 (月) 6 時 9 分 48 秒 (日本時間)
composite number 合成数
712688797522756890025342713795512238944258542113254473455390672898801132966582595755491907813113953473407909429843818113231121561704077080621<141>
prime factors 素因数
102755832279337776869556639708836954580925680730645230603593<60>
6935750328850821939156287768898663567121225576254176712067517745487955691211769797<82>
factorization results 素因数分解の結果
712688797522756890025342713795512238944258542113254473455390672898801132966582595755491907813113953473407909429843818113231121561704077080621=102755832279337776869556639708836954580925680730645230603593*6935750328850821939156287768898663567121225576254176712067517745487955691211769797

cado polynomial
n: 712688797522756890025342713795512238944258542113254473455390672898801132966582595755491907813113953473407909429843818113231121561704077080621
skew: 0.46
type: snfs
c0: 5
c5: 236
Y0: 5000000000000000000000000000000000000000
Y1: -1
# f(x) = 236*x^5+5
# g(x) = -x+5000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15600000
tasks.lim1 = 15600000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 102755832279337776869556639708836954580925680730645230603593 6935750328850821939156287768898663567121225576254176712067517745487955691211769797
Info:Square Root: Total cpu/real time for sqrt: 661.81/215.59
Info:Generate Factor Base: Total cpu/real time for makefb: 6.54/2.79854
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 503.14/466.923
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 443.7s
Info:Generate Free Relations: Total cpu/real time for freerel: 236.01/60.1116
Info:Square Root: Total cpu/real time for sqrt: 661.81/215.59
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 188.5/208.462
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 208.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 244.17/222.04
Info:Filtering - Merging: Merged matrix has 2259942 rows and total weight 386115589 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 613.31/168.224
Info:Filtering - Merging: Total cpu/real time for replay: 86.58/79.7599
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 43276992
Info:Lattice Sieving: Average J: 3792.01 for 1253951 special-q, max bucket fill -bkmult 1.0,1s:1.105740
Info:Lattice Sieving: Total time: 588655s
Info:Linear Algebra: Total cpu/real time for bwc: 87718.9/22476.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 56001.55, WCT time 14285.46, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (70656 iterations)
Info:Linear Algebra: Lingen CPU time 499.29, WCT time 126.52
Info:Linear Algebra: Mksol: CPU time 30435.4,  WCT time 7799.08, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35328 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 82.42/36.0557
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.20005e+06/319135
Info:root: Cleaning up computation data in /tmp/cado._4cqz5kx
102755832279337776869556639708836954580925680730645230603593 6935750328850821939156287768898663567121225576254176712067517745487955691211769797
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovAugust 22, 2022 14:26:21 UTC 2022 年 8 月 22 日 (月) 23 時 26 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 4, 2022 08:03:25 UTC 2022 年 9 月 4 日 (日) 17 時 3 分 25 秒 (日本時間)

59×10200+49

c197

name 名前Bob Backstrom
date 日付November 5, 2022 16:55:36 UTC 2022 年 11 月 6 日 (日) 1 時 55 分 36 秒 (日本時間)
composite number 合成数
84784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784733<197>
prime factors 素因数
2432374858729052074985302388080558609029031<43>
34856770820367572526195164697080188759002283549537290444122086495083045711786772281292784339541210807982353976520055763867657042517749570359056329224804443<155>
factorization results 素因数分解の結果
Number: n
N=84784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784733  ( 197 digits)
SNFS difficulty: 201 digits.
Divisors found:

Sun Nov  6 03:40:30 2022  p43 factor: 2432374858729052074985302388080558609029031
Sun Nov  6 03:40:30 2022  p155 factor: 34856770820367572526195164697080188759002283549537290444122086495083045711786772281292784339541210807982353976520055763867657042517749570359056329224804443
Sun Nov  6 03:40:30 2022  elapsed time 01:24:29 (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 = 59x10^200+4 = 65(199)6
#
n: 84784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784732999942518825084784733
m: 10000000000000000000000000000000000000000
deg: 5
c5: 59
c0: 4
skew: 0.58
# Murphy_E = 1.619e-11
type: snfs
lss: 1
rlim: 16100000
alim: 16100000
lpbr: 27
lpba: 27
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 16100000/16100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 55/55
Sieved  special-q in [100000, 28050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1988083 hash collisions in 14357180 relations (13113525 unique)
Msieve: matrix is 2020123 x 2020348 (703.9 MB)

Sieving start time : 2022/11/05 17:42:54
Sieving end time  : 2022/11/06 02:15:35

Total sieving time: 8hrs 32min 41secs.

Total relation processing time: 1hrs 17min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16100000,16100000,27,27,55,55,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:21:39 UTC 2022 年 6 月 13 日 (月) 19 時 21 分 39 秒 (日本時間)
2350Ignacio SantosNovember 4, 2022 14:37:14 UTC 2022 年 11 月 4 日 (金) 23 時 37 分 14 秒 (日本時間)

59×10201+49

c167

name 名前Bob Backstrom
date 日付August 30, 2023 22:25:18 UTC 2023 年 8 月 31 日 (木) 7 時 25 分 18 秒 (日本時間)
composite number 合成数
35242613466706898700094609930260105129678519071664971040896904794063863825957149396806972674705708039870432374047032519713367078991793025748844917987164777587646265531<167>
prime factors 素因数
107136445668522616075622936335759930229520731649596833487<57>
328950743575595466555905543921561657353806511135397345570811298889164108352173128793575025945301737029733974613<111>
factorization results 素因数分解の結果
Number: n
N=35242613466706898700094609930260105129678519071664971040896904794063863825957149396806972674705708039870432374047032519713367078991793025748844917987164777587646265531  ( 167 digits)
SNFS difficulty: 202 digits.
Divisors found:

Thu Aug 31 08:20:47 2023  prp57 factor: 107136445668522616075622936335759930229520731649596833487
Thu Aug 31 08:20:47 2023  prp111 factor: 328950743575595466555905543921561657353806511135397345570811298889164108352173128793575025945301737029733974613
Thu Aug 31 08:20:47 2023  elapsed time 01:54:57 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.092).
Factorization parameters were as follows:
#
# N = 59x10^201+4 = 65(200)6
#
n: 35242613466706898700094609930260105129678519071664971040896904794063863825957149396806972674705708039870432374047032519713367078991793025748844917987164777587646265531
m: 10000000000000000000000000000000000000000
deg: 5
c5: 295
c0: 2
skew: 0.37
# Murphy_E = 1.372e-11
type: snfs
lss: 1
rlim: 16600000
alim: 16600000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 41100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4141844 hash collisions in 24116490 relations (20551338 unique)
Msieve: matrix is 1866996 x 1867221 (518.1 MB)

Sieving start time: 2023/08/30 15:11:05
Sieving end time  : 2023/08/31 06:25:22

Total sieving time: 15hrs 14min 17secs.

Total relation processing time: 1hrs 44min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 9sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16600000,16600000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 16, 2022 14:42:51 UTC 2022 年 5 月 16 日 (月) 23 時 42 分 51 秒 (日本時間)
2350Ignacio SantosJuly 9, 2023 14:08:01 UTC 2023 年 7 月 9 日 (日) 23 時 8 分 1 秒 (日本時間)
4511e63207Rytis SlatkevičiusAugust 9, 2023 18:04:46 UTC 2023 年 8 月 10 日 (木) 3 時 4 分 46 秒 (日本時間)
5043e64286 / 6701Rytis SlatkevičiusAugust 9, 2023 18:04:46 UTC 2023 年 8 月 10 日 (木) 3 時 4 分 46 秒 (日本時間)

59×10202+49

c157

composite cofactor 合成数の残り
1359742037250774578774223151329289298409449686430501551639789967627943756207571847955814519408147072389295441274212220557881508440878271367805208441530306807<157>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 16, 2022 14:43:08 UTC 2022 年 5 月 16 日 (月) 23 時 43 分 8 秒 (日本時間)
2350Ignacio SantosJuly 11, 2023 16:47:32 UTC 2023 年 7 月 12 日 (水) 1 時 47 分 32 秒 (日本時間)
4511e64480Ignacio SantosOctober 20, 2023 10:15:31 UTC 2023 年 10 月 20 日 (金) 19 時 15 分 31 秒 (日本時間)

59×10204+49

c178

name 名前Bob Backstrom
date 日付December 4, 2023 01:09:32 UTC 2023 年 12 月 4 日 (月) 10 時 9 分 32 秒 (日本時間)
composite number 合成数
1838680647937447032416276191762733426846515033816121293213038830247033162384686243013066711095187032780029382228902945974204984530302036911295019802238210440689777959309567063093<178>
prime factors 素因数
7978502212952006105720209501590542163521979213095037602544421070173651698259577882477<85>
230454363345616513244050677215137387912559938652388035343086237167540778837249592988552690409<93>
factorization results 素因数分解の結果
Number: n
N=1838680647937447032416276191762733426846515033816121293213038830247033162384686243013066711095187032780029382228902945974204984530302036911295019802238210440689777959309567063093  ( 178 digits)
SNFS difficulty: 205 digits.
Divisors found:

Mon Dec  4 12:03:44 2023  prp85 factor: 7978502212952006105720209501590542163521979213095037602544421070173651698259577882477
Mon Dec  4 12:03:44 2023  prp93 factor: 230454363345616513244050677215137387912559938652388035343086237167540778837249592988552690409
Mon Dec  4 12:03:44 2023  elapsed time 02:39:53 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.081).
Factorization parameters were as follows:
#
# N = 59x10^204+4 = 65(203)6
#
n: 1838680647937447032416276191762733426846515033816121293213038830247033162384686243013066711095187032780029382228902945974204984530302036911295019802238210440689777959309567063093
m: 50000000000000000000000000000000000000000
deg: 5
c5: 236
c0: 5
skew: 0.46
# Murphy_E = 9.327e-12
type: snfs
lss: 1
rlim: 18900000
alim: 18900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18900000/18900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3547546 hash collisions in 20243931 relations (17128306 unique)
Msieve: matrix is 2232468 x 2232693 (629.2 MB)

Sieving start time: 2023/12/03 14:25:37
Sieving end time  : 2023/12/04 09:23:27

Total sieving time: 18hrs 57min 50secs.

Total relation processing time: 2hrs 31min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 34sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18900000,18900000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 16, 2022 14:43:18 UTC 2022 年 5 月 16 日 (月) 23 時 43 分 18 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 07:16:25 UTC 2023 年 10 月 11 日 (水) 16 時 16 分 25 秒 (日本時間)
4511e64480Ignacio SantosNovember 28, 2023 09:06:49 UTC 2023 年 11 月 28 日 (火) 18 時 6 分 49 秒 (日本時間)

59×10205+49

c194

name 名前Dmitry Domanov
date 日付June 15, 2022 08:51:18 UTC 2022 年 6 月 15 日 (水) 17 時 51 分 18 秒 (日本時間)
composite number 合成数
43921203844914089501176907657117976633984043934867154350289383278313940338600684008851173233073584566774367412333680881267588709882025245554940651010305095155888693659206583317545294494312467343<194>
prime factors 素因数
9314026132512342357880406001672463<34>
4715598090454025028142078269804852554634455821080239837353360249754498711796733428399500542352936212643567327810148059487455871221161626039503311485272786021761<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3449357447
Step 1 took 9625ms
Step 2 took 3388ms
********** Factor found in step 2: 9314026132512342357880406001672463
Found probable prime factor of 34 digits: 9314026132512342357880406001672463
Probable prime cofactor 4715598090454025028142078269804852554634455821080239837353360249754498711796733428399500542352936212643567327810148059487455871221161626039503311485272786021761 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 13, 2022 10:21:48 UTC 2022 年 6 月 13 日 (月) 19 時 21 分 48 秒 (日本時間)

59×10206+49

c192

name 名前Ignacio Santos
date 日付October 11, 2023 07:16:53 UTC 2023 年 10 月 11 日 (水) 16 時 16 分 53 秒 (日本時間)
composite number 合成数
113233304368411579865653432167825188199148918610668213873178151060579677876940799350692439534131903558964075051694040728200265610403004412100537831621391730498401075827300651876831300274430323<192>
prime factors 素因数
14963738995481852319855094591696599089<38>
composite cofactor 合成数の残り
7567179860768836986452744284158847397493368429938725692388673645573877954335161191806108990846516201343590545652654001358428210044959279741072816404590307<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1324292494
Step 1 took 5109ms
********** Factor found in step 2: 14963738995481852319855094591696599089
Found prime factor of 38 digits: 14963738995481852319855094591696599089
Composite cofactor 7567179860768836986452744284158847397493368429938725692388673645573877954335161191806108990846516201343590545652654001358428210044959279741072816404590307 has 154 digits
software ソフトウェア
GMP-ECM

c154

name 名前Ignacio Santos
date 日付October 11, 2023 15:22:13 UTC 2023 年 10 月 12 日 (木) 0 時 22 分 13 秒 (日本時間)
composite number 合成数
7567179860768836986452744284158847397493368429938725692388673645573877954335161191806108990846516201343590545652654001358428210044959279741072816404590307<154>
prime factors 素因数
542444601584839409013665998926697810803073<42>
13950143182658837988601397812634807110531506431147443258793238441186201127836168226684348855125443503095414633059<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2776173803
Step 1 took 5953ms
Step 2 took 2891ms
********** Factor found in step 2: 542444601584839409013665998926697810803073
Found prime factor of 42 digits: 542444601584839409013665998926697810803073
Prime cofactor 13950143182658837988601397812634807110531506431147443258793238441186201127836168226684348855125443503095414633059 has 113 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 13, 2022 10:21:56 UTC 2022 年 6 月 13 日 (月) 19 時 21 分 56 秒 (日本時間)

59×10207+49

c139

name 名前Ignacio Santos
date 日付May 7, 2022 14:02:21 UTC 2022 年 5 月 7 日 (土) 23 時 2 分 21 秒 (日本時間)
composite number 合成数
8867664149285482473552240883041593903303526590756173179794876619411416563014999684084490461747925329637967645292772036186350794532712224151<139>
prime factors 素因数
5664663733832787296918494415115743007467<40>
1565435225452562252497364202626184777369901562634515352367457106878265155799591076057681487282005253<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2477990237
Step 1 took 5907ms
Step 2 took 3187ms
********** Factor found in step 2: 5664663733832787296918494415115743007467
Found prime factor of 40 digits: 5664663733832787296918494415115743007467
Prime cofactor 1565435225452562252497364202626184777369901562634515352367457106878265155799591076057681487282005253 has 100 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)

59×10208+49

c174

composite cofactor 合成数の残り
361584977880502497698665450188172755822859224595833043574395592937754630338808571153003437318320650349044464715930366461633458109811083638535009266006715096918195035816506293<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 16, 2022 14:43:26 UTC 2022 年 5 月 16 日 (月) 23 時 43 分 26 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 07:27:22 UTC 2023 年 10 月 11 日 (水) 16 時 27 分 22 秒 (日本時間)

59×10209+49

c131

name 名前ebina
date 日付May 14, 2022 21:19:51 UTC 2022 年 5 月 15 日 (日) 6 時 19 分 51 秒 (日本時間)
composite number 合成数
78664225632812975072363119635386232223088757047945287631929110988302249728034738138367351804357374315340543845299755985916266833507<131>
prime factors 素因数
4918462629866421917272070762645637567717067830746701<52>
15993661343514035744626471091947891390435026728384825186537106760617618877386607<80>
factorization results 素因数分解の結果
Sun May 15 01:59:49 2022  Msieve v. 1.53 (SVN unknown)
Sun May 15 01:59:49 2022  random seeds: 8d275d54 7ede63b1
Sun May 15 01:59:49 2022  factoring 78664225632812975072363119635386232223088757047945287631929110988302249728034738138367351804357374315340543845299755985916266833507 (131 digits)
Sun May 15 01:59:49 2022  searching for 15-digit factors
Sun May 15 01:59:50 2022  commencing number field sieve (131-digit input)
Sun May 15 01:59:50 2022  R0: -18159018150180022684463933
Sun May 15 01:59:50 2022  R1: 271806633948553
Sun May 15 01:59:50 2022  A0: -11981871280310417514368862056832
Sun May 15 01:59:50 2022  A1: -242245666968799674114308512
Sun May 15 01:59:50 2022  A2: 1050478809389725010664
Sun May 15 01:59:50 2022  A3: 13939193479167663
Sun May 15 01:59:50 2022  A4: -23727219264
Sun May 15 01:59:50 2022  A5: 39840
Sun May 15 01:59:50 2022  skew 204392.09, size 7.024e-13, alpha -5.082, combined = 4.893e-11 rroots = 3
Sun May 15 01:59:50 2022  
Sun May 15 01:59:50 2022  commencing square root phase
Sun May 15 01:59:50 2022  reading relations for dependency 1
Sun May 15 01:59:50 2022  read 819341 cycles
Sun May 15 01:59:51 2022  cycles contain 2823328 unique relations
Sun May 15 02:00:14 2022  read 2823328 relations
Sun May 15 02:00:24 2022  multiplying 2823328 relations
Sun May 15 02:01:56 2022  multiply complete, coefficients have about 133.60 million bits
Sun May 15 02:01:56 2022  initial square root is modulo 62459
Sun May 15 02:03:45 2022  GCD is N, no factor found
Sun May 15 02:03:45 2022  reading relations for dependency 2
Sun May 15 02:03:45 2022  read 819522 cycles
Sun May 15 02:03:46 2022  cycles contain 2824164 unique relations
Sun May 15 02:04:09 2022  read 2824164 relations
Sun May 15 02:04:19 2022  multiplying 2824164 relations
Sun May 15 02:05:49 2022  multiply complete, coefficients have about 133.64 million bits
Sun May 15 02:05:50 2022  initial square root is modulo 62617
Sun May 15 02:07:36 2022  sqrtTime: 466
Sun May 15 02:07:36 2022  p52 factor: 4918462629866421917272070762645637567717067830746701
Sun May 15 02:07:36 2022  p80 factor: 15993661343514035744626471091947891390435026728384825186537106760617618877386607
Sun May 15 02:07:36 2022  elapsed time 00:07:47

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 21:27:02 UTC 2022 年 5 月 8 日 (日) 6 時 27 分 2 秒 (日本時間)

59×10211+49

c196

composite cofactor 合成数の残り
4110870346769375893221294901703720981710569642015364272136521171009832927429412930228214606524745046213218301661064938737919132601517530973315234773429591917132258248675932829713010185730793870849<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:03 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 3 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 07:37:15 UTC 2023 年 10 月 11 日 (水) 16 時 37 分 15 秒 (日本時間)

59×10212+49

c209

composite cofactor 合成数の残り
11134512459330721440919144567490243147556823757652618308912894142869005291724226434464901752081587668244370465988782450498599693517826543167938643174732582980425904537596908002506208906100203063311970167055431<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:03 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 3 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2022 12:10:46 UTC 2022 年 9 月 27 日 (火) 21 時 10 分 46 秒 (日本時間)

59×10213+49

c188

composite cofactor 合成数の残り
21179421423524637498544805777109891746256546703047658228591685042629629721925085731720264891483652292304387213945619454623277445454166858904479266404202153962121332059754142168538624438813<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:12 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 12 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 07:44:19 UTC 2023 年 10 月 11 日 (水) 16 時 44 分 19 秒 (日本時間)

59×10214+49

c205

composite cofactor 合成数の残り
2433858556708073666496424002881057146980909202618038431831197148325924783969391560084370719023430244654106693250708027180062002654316936751139693388298374583595559667465697926133005344230927727668431039691<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:09 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 27, 2022 12:24:09 UTC 2022 年 9 月 27 日 (火) 21 時 24 分 9 秒 (日本時間)

59×10216+49

c198

composite cofactor 合成数の残り
496280204650903816671673127077913485340865067361231371541129746696882566598714573889830441546870412102897226306001212757830474320884743747266809244019489607154899507946131509373666421697691449517741<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:19 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 19 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 06:23:59 UTC 2023 年 10 月 12 日 (木) 15 時 23 分 59 秒 (日本時間)

59×10217+49

c188

composite cofactor 合成数の残り
10615259451837694006236664194637725955842568750864135955411498113267033612655860804600797049154322011206600023320505296423807693993494969214379452050361785715262794504857688839763631866641<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:27 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 27 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 06:34:00 UTC 2023 年 10 月 12 日 (木) 15 時 34 分 0 秒 (日本時間)

59×10218+49

c199

composite cofactor 合成数の残り
1856591147823381042654129839261025047566441294566653894762996132039243884523859092813274746184044404621716819364823628804574293271257599527429620266037899708974064546919106847628403476206931640401793<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:35 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 35 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 06:42:39 UTC 2023 年 10 月 12 日 (木) 15 時 42 分 39 秒 (日本時間)

59×10223+49

c219

composite cofactor 合成数の残り
152388154842895560907220925631481016568466706545871934027810063403803814972885239838292922060949063096961225221427737536973498925017795837065551701943233087755947528884012467933916230939857819268681496358697954279420987<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:16 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 16 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 06:54:13 UTC 2023 年 10 月 12 日 (木) 15 時 54 分 13 秒 (日本時間)

59×10224+49

c209

composite cofactor 合成数の残り
23200773842971180627722853464971667065719238016403808567320283795146803403762362557796158325071514970648622203824834699146840087568854095605294675262153474726011254406384780137382321651982988894456584234255583<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:25 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 25 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 07:08:58 UTC 2023 年 10 月 12 日 (木) 16 時 8 分 58 秒 (日本時間)

59×10225+49

c198

composite cofactor 合成数の残り
210991429292420920244955015373664025177085967617763723244432427235381767882988709096583109634651057675973397987581392700537340066081361022647115161758756653932499520044544576939641668990939053119553<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:43 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 43 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 07:19:53 UTC 2023 年 10 月 12 日 (木) 16 時 19 分 53 秒 (日本時間)

59×10227+49

c198

composite cofactor 合成数の残り
261544571597949219342440776429382275596950856940353137658909323110178068834099046274166105185044671247954778832861395208488578810682428104574512421713990073593292836341405537232697255074998363004699<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:51 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 51 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 07:27:53 UTC 2023 年 10 月 12 日 (木) 16 時 27 分 53 秒 (日本時間)

59×10228+49

c196

composite cofactor 合成数の残り
1564035036516623225782841246053839668619368611665789832561731494344561953940473532874658044276554554112792864914093269614030179605204418870678450055178757802044028004952247431889711748308534012441<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:22:59 UTC 2022 年 6 月 13 日 (月) 19 時 22 分 59 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 07:39:04 UTC 2023 年 10 月 12 日 (木) 16 時 39 分 4 秒 (日本時間)

59×10230+49

c198

composite cofactor 合成数の残り
749508749633623503102005577484936463331326666359512359671395527781060024916103502337317149250956379066623238893474480912733984744962515674132769664857634773958037995753219034855424240464132133803683<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:23:07 UTC 2022 年 6 月 13 日 (月) 19 時 23 分 7 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 07:49:54 UTC 2023 年 10 月 12 日 (木) 16 時 49 分 54 秒 (日本時間)

59×10233+49

c233

composite cofactor 合成数の残り
14898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:54:25 UTC 2022 年 8 月 23 日 (火) 15 時 54 分 25 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 08:07:05 UTC 2023 年 10 月 12 日 (木) 17 時 7 分 5 秒 (日本時間)

59×10235+49

c216

composite cofactor 合成数の残り
588477932843586112679488752405726570361974426786228206842238715239382405026369804918135266716880173983792595892455515619046395964809936741595971712708407288242837660864469549585681474240830988890445970083450237016919<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:31 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 31 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 08:17:50 UTC 2023 年 10 月 12 日 (木) 17 時 17 分 50 秒 (日本時間)

59×10236+49

c180

name 名前Dmitry Domanov
date 日付May 16, 2022 22:54:27 UTC 2022 年 5 月 17 日 (火) 7 時 54 分 27 秒 (日本時間)
composite number 合成数
335620440798818478623921769415458108598785669991074094121994696821573342520684661111077786913572642130131094486901796494331749928956404108576191738639639628347933562937402001754127<180>
prime factors 素因数
20404137407518073090330212411529280421366451<44>
composite cofactor 合成数の残り
16448646374786534859409519561889141587544024169307449520271392535777598929617887453970283678894668667997656415873542339149887036484807477<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2675123735
Step 1 took 9642ms
Step 2 took 4365ms
********** Factor found in step 2: 20404137407518073090330212411529280421366451
Found prime factor of 44 digits: 20404137407518073090330212411529280421366451
Composite cofactor 16448646374786534859409519561889141587544024169307449520271392535777598929617887453970283678894668667997656415873542339149887036484807477 has 137 digits

c137

name 名前Ignacio Santos
date 日付May 17, 2022 17:07:36 UTC 2022 年 5 月 18 日 (水) 2 時 7 分 36 秒 (日本時間)
composite number 合成数
16448646374786534859409519561889141587544024169307449520271392535777598929617887453970283678894668667997656415873542339149887036484807477<137>
prime factors 素因数
2892210965607230328708814739188432373<37>
5687222187587924126759003541069957197365449753487307383416547548136768035966612337485245582171664449<100>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:853112640
Step 1 took 5938ms
Step 2 took 3281ms
********** Factor found in step 2: 2892210965607230328708814739188432373
Found prime factor of 37 digits: 2892210965607230328708814739188432373
Prime cofactor 5687222187587924126759003541069957197365449753487307383416547548136768035966612337485245582171664449 has 100 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 16, 2022 14:44:26 UTC 2022 年 5 月 16 日 (月) 23 時 44 分 26 秒 (日本時間)

59×10237+49

c206

composite cofactor 合成数の残り
21722577002272380631403812956444417241698205983091780646658710660365767835507901824901327069775728627697732190936916274006247510173536102950852545467721987862088474400513234957112105874118113895573142775549<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:39 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 39 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 08:29:48 UTC 2023 年 10 月 12 日 (木) 17 時 29 分 48 秒 (日本時間)

59×10238+49

c226

composite cofactor 合成数の残り
3150698850536626083503970374027897071838174272322900275685592641134250560600765087165886674269364677073231159630264994486883286229064100828422711435270240661196381401152613546241465357184341699645125719234476000364711268523597<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:54:33 UTC 2022 年 8 月 23 日 (火) 15 時 54 分 33 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 08:40:11 UTC 2023 年 10 月 12 日 (木) 17 時 40 分 11 秒 (日本時間)

59×10240+49

c221

composite cofactor 合成数の残り
26313529166194732635612152697770658857790335678841712840271384083861664728268220683143421916391670108587271475638113625968404899289821564966711997417545019206037618880734053863770431950131077274367519635922409210754395491<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:54:40 UTC 2022 年 8 月 23 日 (火) 15 時 54 分 40 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 08:54:45 UTC 2023 年 10 月 12 日 (木) 17 時 54 分 45 秒 (日本時間)

59×10241+49

c199

composite cofactor 合成数の残り
9249243435391210796445435696979207942023759021034132937465741745273650289836891200323343933549953929072606375070384083711229859689818924708643992145967986068988476498052964973775058453659019503798749<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:23:15 UTC 2022 年 6 月 13 日 (月) 19 時 23 分 15 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 09:08:32 UTC 2023 年 10 月 12 日 (木) 18 時 8 分 32 秒 (日本時間)

59×10244+49

c232

composite cofactor 合成数の残り
1072537225824588737467272826592603941018042428693736908377450674227318912049553390085573532525848468925954546109611632477257654712067647592980655995670389874409411286615041712114929669924437476069252893125845350821333043051458982539<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:54:48 UTC 2022 年 8 月 23 日 (火) 15 時 54 分 48 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 09:20:40 UTC 2023 年 10 月 12 日 (木) 18 時 20 分 40 秒 (日本時間)

59×10247+49

c231

composite cofactor 合成数の残り
255727907662947271997485062625661987406209524276477268392607838861272928320668419578113289933439083747421050173815730729249917630704197424573827335626496206260485454018929831108703502965901839805188352935181749146921127349098507481<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:54:55 UTC 2022 年 8 月 23 日 (火) 15 時 54 分 55 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 09:41:41 UTC 2023 年 10 月 12 日 (木) 18 時 41 分 41 秒 (日本時間)

59×10248+49

c246

name 名前Dmitry Domanov
date 日付August 25, 2022 18:36:05 UTC 2022 年 8 月 26 日 (金) 3 時 36 分 5 秒 (日本時間)
composite number 合成数
905463474524248004910988336402701043585021485573971761817065684468999386126457949662369551872314303253529772866789441375076734192756292203806015960712093308778391651319828115408225905463474524248004910988336402701043585021485573971761817065684469<246>
prime factors 素因数
52052370867109639920908010556590693730027<41>
composite cofactor 合成数の残り
17395239821753896445678211100495908650123606102179650783937741474246789373682019122492137820407131295716267098840492931976927930456523504234407959195623064867685148300131086263306538130527634674985473791647<206>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 11:12:20 2022 
Input number is 905463474524248004910988336402701043585021485573971761817065684468999386126457949662369551872314303253529772866789441375076734192756292203806015960712093308778391651319828115408225905463474524248004910988336402701043585021485573971761817065684469 (246 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:181516472
Step 1 took 0ms
Step 2 took 11068ms
********** Factor found in step 2: 52052370867109639920908010556590693730027
Found prime factor of 41 digits: 52052370867109639920908010556590693730027
Composite cofactor 17395239821753896445678211100495908650123606102179650783937741474246789373682019122492137820407131295716267098840492931976927930456523504234407959195623064867685148300131086263306538130527634674985473791647 has 206 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:02 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 2 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 09:49:00 UTC 2023 年 10 月 12 日 (木) 18 時 49 分 0 秒 (日本時間)

59×10250+49

c213

name 名前Dmitry Domanov
date 日付August 25, 2022 00:18:16 UTC 2022 年 8 月 25 日 (木) 9 時 18 分 16 秒 (日本時間)
composite number 合成数
297502617287547750124978178953968230213506121437086875447325737968374684194567674432376105785071697572696166434045240687932073513341657511966173267349750666740869557496754001675134066528888742178171600811080954369<213>
prime factors 素因数
74064181820333713407468770872410146171267<41>
4016821761553178295107716848764211988995433045782766935031219281643992501971614474849116439172021869777028568404014977736655644400207437927165398166737171798763053105566507<172>
factorization results 素因数分解の結果
Resuming ECM residue saved by @a15c56f1befc with GMP-ECM 7.0.5-dev on Wed Aug 24 11:44:39 2022 
Input number is 297502617287547750124978178953968230213506121437086875447325737968374684194567674432376105785071697572696166434045240687932073513341657511966173267349750666740869557496754001675134066528888742178171600811080954369 (213 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:508264514
Step 1 took 0ms
Step 2 took 5514ms
********** Factor found in step 2: 74064181820333713407468770872410146171267
Found prime factor of 41 digits: 74064181820333713407468770872410146171267
Prime cofactor 4016821761553178295107716848764211988995433045782766935031219281643992501971614474849116439172021869777028568404014977736655644400207437927165398166737171798763053105566507 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 24, 2022 08:50:46 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 46 秒 (日本時間)

59×10254+49

c195

name 名前Ignacio Santos
date 日付October 12, 2023 09:59:40 UTC 2023 年 10 月 12 日 (木) 18 時 59 分 40 秒 (日本時間)
composite number 合成数
254841240683018624341861529269146486955942065201626211674383921489809300346543778870197054147779376368103154714164658975586065825827326569638608546473847902531749719661695424430375963059107879659<195>
prime factors 素因数
780465955479031479747401708807767705852827433<45>
composite cofactor 合成数の残り
326524480528562093730933815109545234773251851298368861226060056796885104133204946271239068383057645691317697096143967303573487238108788923413568423923<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2511183236
Step 1 took 5234ms
********** Factor found in step 2: 780465955479031479747401708807767705852827433
Found prime factor of 45 digits: 780465955479031479747401708807767705852827433
Composite cofactor 326524480528562093730933815109545234773251851298368861226060056796885104133204946271239068383057645691317697096143967303573487238108788923413568423923 has 150 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:23:21 UTC 2022 年 6 月 13 日 (月) 19 時 23 分 21 秒 (日本時間)
2350Ignacio SantosOctober 16, 2023 14:15:52 UTC 2023 年 10 月 16 日 (月) 23 時 15 分 52 秒 (日本時間)
4511e64480Ignacio SantosOctober 16, 2023 15:43:41 UTC 2023 年 10 月 17 日 (火) 0 時 43 分 41 秒 (日本時間)
5043e66454Ignacio SantosDecember 8, 2023 15:17:24 UTC 2023 年 12 月 9 日 (土) 0 時 17 分 24 秒 (日本時間)

59×10255+49

c243

composite cofactor 合成数の残り
210259475266247895832344865649745585033259540061461374176947972271542626829044524765598740527506705139212822483991338319538881712538939960081200577228533740273459565803767805744411867329905608724117791686997202687248232594589188905941117163177<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:09 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 9 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 10:13:55 UTC 2023 年 10 月 12 日 (木) 19 時 13 分 55 秒 (日本時間)

59×10256+49

c256

composite cofactor 合成数の残り
1820987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:25:22 UTC 2022 年 6 月 13 日 (月) 19 時 25 分 22 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 10:26:22 UTC 2023 年 10 月 12 日 (木) 19 時 26 分 22 秒 (日本時間)

59×10259+49

c237

name 名前Dmitry Domanov
date 日付August 26, 2022 08:04:08 UTC 2022 年 8 月 26 日 (金) 17 時 4 分 8 秒 (日本時間)
composite number 合成数
176176879349034905812367066516149029884428418157475059165317423388967733822730529906391463848360819145281181553085653912388992559015727025566038753909963948514199869445752907358985860042680312488872624773427965575171065168386425937041691<237>
prime factors 素因数
123706883815226770988420681952914821817<39>
composite cofactor 合成数の残り
1424147742757624408608055737005742251186674568996339458276157835023812105828195614782243892455315554309659281600734097207530973004859438561115171811030739912209833850701067522097937269108702340804723<199>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 11:21:17 2022 
Input number is 176176879349034905812367066516149029884428418157475059165317423388967733822730529906391463848360819145281181553085653912388992559015727025566038753909963948514199869445752907358985860042680312488872624773427965575171065168386425937041691 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2000135640
Step 1 took 0ms
Step 2 took 9632ms
********** Factor found in step 2: 123706883815226770988420681952914821817
Found prime factor of 39 digits: 123706883815226770988420681952914821817
Composite cofactor 1424147742757624408608055737005742251186674568996339458276157835023812105828195614782243892455315554309659281600734097207530973004859438561115171811030739912209833850701067522097937269108702340804723 has 199 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:16 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 16 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 10:41:04 UTC 2023 年 10 月 12 日 (木) 19 時 41 分 4 秒 (日本時間)

59×10260+49

c190

composite cofactor 合成数の残り
4203232546216199635635262221581854776284954800846150731589561241634985683027281477054281476595140853300054344374953554453053309755603447194470183661763745503205190256296494649799966462750949<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:23:28 UTC 2022 年 6 月 13 日 (月) 19 時 23 分 28 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 10:51:08 UTC 2023 年 10 月 12 日 (木) 19 時 51 分 8 秒 (日本時間)

59×10261+49

c240

composite cofactor 合成数の残り
138853812253719877388558250928540244141176567354576106409203390956383065687594960092425491586902049317152936685479753158211139304568379519004325836905512474529578028611844183751589272231111663481330061524888268309468589855468211596761201401<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:23 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 23 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 11:03:34 UTC 2023 年 10 月 12 日 (木) 20 時 3 分 34 秒 (日本時間)

59×10263+49

c223

composite cofactor 合成数の残り
7650814006757063146577664192704489551636001718855609905020529428322978802200752284596147571151166845711402960825236874392322100065008974214336769201634398251057944974404535654132119889073233707050780445011011637074767028193<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:31 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 31 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 11:16:37 UTC 2023 年 10 月 12 日 (木) 20 時 16 分 37 秒 (日本時間)

59×10264+49

c264

composite cofactor 合成数の残り
234126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:25:14 UTC 2022 年 6 月 13 日 (月) 19 時 25 分 14 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 14:00:31 UTC 2023 年 10 月 12 日 (木) 23 時 0 分 31 秒 (日本時間)

59×10265+49

c235

composite cofactor 合成数の残り
1423613009401149169024875852369581334829373160947007778151916987394693661866554324197650515855909640574004440730629318926216356765887648758710407539672099910070366338170367746839051811902004922868914524976200529291006550317643888669511<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:38 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 38 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 14:29:19 UTC 2023 年 10 月 12 日 (木) 23 時 29 分 19 秒 (日本時間)

59×10266+49

c236

composite cofactor 合成数の残り
64098588862339971498409715438987893712253662978087786426912903042244698240296955384467353831483547206255929192365628026928183487597734716805000122588687903038896272527185813090375725038151989633897103704087267430141765313772108799656391<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:45 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 45 秒 (日本時間)
2350Ignacio SantosOctober 12, 2023 14:29:29 UTC 2023 年 10 月 12 日 (木) 23 時 29 分 29 秒 (日本時間)

59×10267+49

c177

composite cofactor 合成数の残り
199286473246795916831808054608605827296266361197975787804283668821899289732819051082435587379244179852894081224788661259509709794128456816202692287140588245570219073736184536093<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 17:46:54 UTC 2022 年 5 月 8 日 (日) 2 時 46 分 54 秒 (日本時間)
4511e64480Ignacio SantosMay 13, 2022 15:15:30 UTC 2022 年 5 月 14 日 (土) 0 時 15 分 30 秒 (日本時間)

59×10268+49

c225

composite cofactor 合成数の残り
162225601620026680384198219142152722275088578389601141957958682517785190443657325851270234272414513654966507313858363004332009371170891717022390555749581082432023370862660814037783315698446486840010444504221392476672692567091<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:51 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 51 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 08:05:01 UTC 2023 年 10 月 11 日 (水) 17 時 5 分 1 秒 (日本時間)

59×10269+49

c263

composite cofactor 合成数の残り
37114142191651240393633346948562038351968029601132678327854656892588124636989091436489160166848073045060368102339818947904400914462269045927253815415594225220642317222851652911662327834728485390980377740442208839491601170270550521997199807167498237329867199560327<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:25:07 UTC 2022 年 6 月 13 日 (月) 19 時 25 分 7 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 08:28:23 UTC 2023 年 10 月 11 日 (水) 17 時 28 分 23 秒 (日本時間)

59×10271+49

c224

composite cofactor 合成数の残り
11925757879212882389501677423101655684070199267793084977953590609889547078042547830643715242406273917956310955273785667604413875021943613772689736011629062496294830826489526586258095926688739885919204004848179146330584920549<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:55:59 UTC 2022 年 8 月 23 日 (火) 15 時 55 分 59 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 08:28:34 UTC 2023 年 10 月 11 日 (水) 17 時 28 分 34 秒 (日本時間)

59×10272+49

c242

composite cofactor 合成数の残り
12693116665687498509660105725344206319452479861859752660618226781234124209839909891158992697429021349779218584065727806481875835259397412568744014001796106009908709533970294187873081507238802124788663435613906115457261290737213597682106622343<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:56:06 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 6 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 08:51:38 UTC 2023 年 10 月 11 日 (水) 17 時 51 分 38 秒 (日本時間)

59×10273+49

c234

composite cofactor 合成数の残り
179312234129234353380794197284262282626114059157545740862754927269514027452679079703568845953533178173457113696199937435831294350697301404460207531792458209020895304061479120158259197078265989268364377312287446923824106718347492980091<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:56:13 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 13 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 09:04:29 UTC 2023 年 10 月 11 日 (水) 18 時 4 分 29 秒 (日本時間)

59×10274+49

c265

composite cofactor 合成数の残り
5168096146836896831648051884929370035490949358711371002325973078205621714647564386268337466209192135530717290946653270850734175097844499404263343594607153365580412396229096270888127680743218021904215335222412486610373432010793013311168439018236827899203235622631033<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:24:58 UTC 2022 年 6 月 13 日 (月) 19 時 24 分 58 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 09:09:47 UTC 2023 年 10 月 11 日 (水) 18 時 9 分 47 秒 (日本時間)

59×10275+49

c247

name 名前Dmitry Domanov
date 日付August 26, 2022 08:03:11 UTC 2022 年 8 月 26 日 (金) 17 時 3 分 11 秒 (日本時間)
composite number 合成数
4139000340193602451869573827133338358193753724528822256015793495747096753267457806808934086437605276941915284988500138567093499202349894849562091947707425969014984887419235456909592851991237146598253200595079720133340729245115352200989568839688947<247>
prime factors 素因数
8316722687801770937890236523341606350763283<43>
497672039283493242459185631793040034696144761644667970623098422125759083153551425798999618571810106138881243993146158685163142689196669821718261835355275619968776370552429217058255740788307377571207771809<204>
factorization results 素因数分解の結果
Resuming ECM residue saved by @ab3558ab9a40 with GMP-ECM 7.0.5-dev on Tue Aug 23 11:56:56 2022 
Input number is 4139000340193602451869573827133338358193753724528822256015793495747096753267457806808934086437605276941915284988500138567093499202349894849562091947707425969014984887419235456909592851991237146598253200595079720133340729245115352200989568839688947 (247 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1406017297
Step 1 took 0ms
Step 2 took 9840ms
********** Factor found in step 2: 8316722687801770937890236523341606350763283
Found prime factor of 43 digits: 8316722687801770937890236523341606350763283
Prime cofactor 497672039283493242459185631793040034696144761644667970623098422125759083153551425798999618571810106138881243993146158685163142689196669821718261835355275619968776370552429217058255740788307377571207771809 has 204 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 23, 2022 06:56:20 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 20 秒 (日本時間)

59×10276+49

c272

composite cofactor 合成数の残り
34445635446076817269990728869646038985453433003822881710184932194642360892176987513165238632356478465055778576449460663084320580274677670587630864223478612179509634269086968807433718423861133880259965297481848901592906300865694715922757705897326318100188925553056787424891<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:02 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 2 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 09:27:00 UTC 2023 年 10 月 11 日 (水) 18 時 27 分 0 秒 (日本時間)

59×10277+49

c273

composite cofactor 合成数の残り
111128439613559327141784067270753330274475944648242701498463413880733191540978517930856261579018347870440061086738195711120302751540164831728940030573505623852457596024389490489289101954127686953822554628103968001036696494293272095912507637725807338696128134481233608555157<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:10 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 10 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 11:46:28 UTC 2023 年 10 月 11 日 (水) 20 時 46 分 28 秒 (日本時間)

59×10278+49

c186

composite cofactor 合成数の残り
476571872459259581998122550714908713365520221157196059782413025296357057369440636853847491002145611656667890265071909223829462763491015413380991213329606063630573946177754746970165415787<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 7, 2022 18:06:21 UTC 2022 年 5 月 8 日 (日) 3 時 6 分 21 秒 (日本時間)
4511e64480Ignacio SantosMay 13, 2022 17:47:40 UTC 2022 年 5 月 14 日 (土) 2 時 47 分 40 秒 (日本時間)

59×10282+49

c258

composite cofactor 合成数の残り
817874070558459701590048516342180304522170200518862300210700611346575706552290607925817450493199925262593161864826641062109608481838503156677743986793975144942515644264557785854596663063655329941468743951313903292948090693196312967144243809184670953956961549<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:24:51 UTC 2022 年 6 月 13 日 (月) 19 時 24 分 51 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 12:06:43 UTC 2023 年 10 月 11 日 (水) 21 時 6 分 43 秒 (日本時間)

59×10283+49

c255

composite cofactor 合成数の残り
102854810388729542828322259713479546696217289272627097508896652655952330020222632585085248651327648695062246598802959720615052361135871788867939625142017172432659388865627941304813376678392115390584635404157993418345427453279580124843449580854778449642549<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:24:43 UTC 2022 年 6 月 13 日 (月) 19 時 24 分 43 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 12:29:38 UTC 2023 年 10 月 11 日 (水) 21 時 29 分 38 秒 (日本時間)

59×10284+49

c198

composite cofactor 合成数の残り
102360611746570689382127828372497116718426534764814216213897163990427116010742951694536537784426101878017436925945654677484838973985005488002023482786119953306664259682591755408358109703025470983577<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 13, 2022 10:23:40 UTC 2022 年 6 月 13 日 (月) 19 時 23 分 40 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 13:26:58 UTC 2023 年 10 月 11 日 (水) 22 時 26 分 58 秒 (日本時間)

59×10285+49

c285

composite cofactor 合成数の残り
148989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:18 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 18 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 13:27:14 UTC 2023 年 10 月 11 日 (水) 22 時 27 分 14 秒 (日本時間)

59×10287+49

c283

name 名前Dmitry Domanov
date 日付May 24, 2022 19:44:38 UTC 2022 年 5 月 25 日 (水) 4 時 44 分 38 秒 (日本時間)
composite number 合成数
5957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992399<283>
prime factors 素因数
289290152773026295531530760823115173<36>
composite cofactor 合成数の残り
20592519369437968793688431879454394869313081615802057203098382334389399849623068042874011406976653756699255654655575890523178500289648321411361319568305798938825905165564398980929558702392502389800601313823752332957467768131662238746905075683550563<248>
factorization results 素因数分解の結果
Resuming ECM residue saved by @0fd6aeeac038 with GMP-ECM 7.0.5-dev on Tue May 24 00:55:03 2022 
Input number is 5957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992398999995961211475005957213074366213110715309835661694917992399 (283 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2572771549
Step 1 took 0ms
Step 2 took 7523ms
********** Factor found in step 2: 289290152773026295531530760823115173
Found prime factor of 36 digits: 289290152773026295531530760823115173
Composite cofactor 20592519369437968793688431879454394869313081615802057203098382334389399849623068042874011406976653756699255654655575890523178500289648321411361319568305798938825905165564398980929558702392502389800601313823752332957467768131662238746905075683550563 has 248 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:26 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 26 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 13:27:43 UTC 2023 年 10 月 11 日 (水) 22 時 27 分 43 秒 (日本時間)

59×10288+49

c279

composite cofactor 合成数の残り
185508962109803707924743604582502413994197804347434580476526711876028542987597561150792027087157181384135864067467023310596858527750063842459686672307066533846460535065134659086734203141665149072242647116762713103611549405558318475100859884204775358313285410297057905348346408427<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:34 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 34 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 13:27:56 UTC 2023 年 10 月 11 日 (水) 22 時 27 分 56 秒 (日本時間)

59×10289+49

c248

composite cofactor 合成数の残り
75655116572990093698004024714113601833776195374533315510602394973071846197230628195913213980982306262342972795228234610528052891862586291032391667271121906879693973459295168406284004350211523139515827838896929904931968280126554576274576372957560901<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:56:28 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 28 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 13:50:46 UTC 2023 年 10 月 11 日 (水) 22 時 50 分 46 秒 (日本時間)

59×10290+49

c256

composite cofactor 合成数の残り
5943768575773755320501096081775628825692955512738625040376268936538308950424494157248051537069226109185908290860337916582898035445471357328188554837544172247643067742213588394483450972441987244583583687180498681373593051081554449474745540181058491217219063<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 13, 2022 10:24:33 UTC 2022 年 6 月 13 日 (月) 19 時 24 分 33 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 14:09:00 UTC 2023 年 10 月 11 日 (水) 23 時 9 分 0 秒 (日本時間)

59×10291+49

c287

name 名前Ignacio Santos
date 日付October 11, 2023 14:32:23 UTC 2023 年 10 月 11 日 (水) 23 時 32 分 23 秒 (日本時間)
composite number 合成数
19001389999987117701694923987998850898991187219729497500190013899999871177016949239879988508989911872197294975001900138999998711770169492398799885089899118721972949750019001389999987117701694923987998850898991187219729497500190013899999871177016949239879988508989911872197294975001900139<287>
prime factors 素因数
3599166720054789544738359095314800612649541<43>
5279385890659119717646087361349802244800711586522071807863068664352007891291817192578822104173838702007999498909576883310929380391889862646635368770480895036312837406714722598398206128572715324780559811165173128168024308598733987290204768970479<244>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4003313499
Step 1 took 14063ms
Step 2 took 5625ms
********** Factor found in step 2: 3599166720054789544738359095314800612649541
Found prime factor of 43 digits: 3599166720054789544738359095314800612649541
Prime cofactor 5279385890659119717646087361349802244800711586522071807863068664352007891291817192578822104173838702007999498909576883310929380391889862646635368770480895036312837406714722598398206128572715324780559811165173128168024308598733987290204768970479 has 244 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovMay 24, 2022 00:32:42 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 42 秒 (日本時間)

59×10292+49

c236

composite cofactor 合成数の残り
16153389258594946361709938365081385896115636966279106444376168580305139443644515735381237437766214311988953712195880199071031752372418725969122946325758135519151155017958610386053545053733925499887567579034653476340234103879429425221203<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:56:35 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 35 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 14:52:36 UTC 2023 年 10 月 11 日 (水) 23 時 52 分 36 秒 (日本時間)

59×10293+49

c275

name 名前Ignacio Santos
date 日付October 11, 2023 14:53:29 UTC 2023 年 10 月 11 日 (水) 23 時 53 分 29 秒 (日本時間)
composite number 合成数
27847241899750039258821228347220394122401374860883709169055831744608378438825705198462140959388551655809955660863799476256695774548356139625493718468274819656899328734365149143318989771768968186863090527279694237412085311086026432135949952692468353903967845008375997641313537<275>
prime factors 素因数
5677036910251508161713292602507316268417<40>
composite cofactor 合成数の残り
4905242354416246127859650461594121101137271309341834807636298114204059411399598312416096142618965354145982853854885410047355292881005954418981536816251020251001932470797358963958247031840458461706680211685387409423476859817504306495361<235>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4053341578
Step 1 took 14078ms
Step 2 took 5422ms
********** Factor found in step 2: 5677036910251508161713292602507316268417
Found prime factor of 40 digits: 5677036910251508161713292602507316268417
Composite cofactor 4905242354416246127859650461594121101137271309341834807636298114204059411399598312416096142618965354145982853854885410047355292881005954418981536816251020251001932470797358963958247031840458461706680211685387409423476859817504306495361 has 235 digits
 
software ソフトウェア
GMP-ECM

c235

name 名前Seth Troisi
date 日付November 18, 2023 02:00:31 UTC 2023 年 11 月 18 日 (土) 11 時 0 分 31 秒 (日本時間)
composite number 合成数
4905242354416246127859650461594121101137271309341834807636298114204059411399598312416096142618965354145982853854885410047355292881005954418981536816251020251001932470797358963958247031840458461706680211685387409423476859817504306495361<235>
prime factors 素因数
4509602110536819179930484819235482032591609<43>
composite cofactor 合成数の残り
1087732849635448274955437202721647918053592787446063173547689338666470027292144537666131908837640268496540864279202884280333775295343952368921354995491602267551536847332435859155080067334384329<193>
factorization results 素因数分解の結果
Resuming P-1 residue saved by five@five with GMP-ECM 7.0.6-dev on Thu Nov 16 13:19:04 2023 
Input number is 4905242354416246127859650461594121101137271309341834807636298114204059411399598312416096142618965354145982853854885410047355292881005954418981536816251020251001932470797358963958247031840458461706680211685387409423476859817504306495361 (235 digits)
Using mpz_mod
Using lmax = 8388608 with NTT which takes about 2784MB of memory
Using B1=4000000000-4000000000, B2=205705378426380, polynomial x^1
P = 24249225, l = 8388608, s_1 = 4147200, k = s_2 = 2, m_1 = 79
Probability of finding a factor of n digits (assuming one exists):
20    25      30      35      40      45      50      55      60      65
0.71    0.43    0.21    0.087   0.032   0.01    0.003   0.00079 0.00019 4.5e-05
Step 1 took 0ms
Computing F from factored S_1 took 29717ms
Computing h took 4129ms
Computing DCT-I of h took 8760ms
Multi-point evaluation 1 of 2:
Computing g_i took 14058ms
Computing g*h took 16907ms
Computing gcd of coefficients and N took 4010ms
Multi-point evaluation 2 of 2:
Computing g_i took 14018ms
Computing g*h took 16871ms
Computing gcd of coefficients and N took 3902ms
Step 2 took 112692ms
********** Factor found in step 2: 4509602110536819179930484819235482032591609
Found prime factor of 43 digits: 4509602110536819179930484819235482032591609
Composite cofactor 1087732849635448274955437202721647918053592787446063173547689338666470027292144537666131908837640268496540864279202884280333775295343952368921354995491602267551536847332435859155080067334384329 has 193 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:50 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 50 秒 (日本時間)
2350Ignacio SantosOctober 16, 2023 14:26:47 UTC 2023 年 10 月 16 日 (月) 23 時 26 分 47 秒 (日本時間)

59×10295+49

c236

composite cofactor 合成数の残り
56716789765643941578840348450727805910106176938599798539511426674379828478119817410751404504929220760900606873595823971711319335628101252488380472388136844053128540643264772625707686485493897542537879694450385403405363134933798281380287<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 23, 2022 06:56:43 UTC 2022 年 8 月 23 日 (火) 15 時 56 分 43 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 15:48:11 UTC 2023 年 10 月 12 日 (木) 0 時 48 分 11 秒 (日本時間)

59×10297+49

c207

composite cofactor 合成数の残り
119896565509675112302428049414724555380268369960187835841217876582089181837721393043439813215316584051070843379956605591359236432813778313083585654173960540913722594330751638265641338091878004637977371561591<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 24, 2022 08:50:54 UTC 2022 年 8 月 24 日 (水) 17 時 50 分 54 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 15:53:42 UTC 2023 年 10 月 12 日 (木) 0 時 53 分 42 秒 (日本時間)

59×10298+49

c273

composite cofactor 合成数の残り
812742167390067743135695810806427921439535516221658293645363243755193912696430032860833751460926216508906029621470913694558617379610660428018001512674883555127967449781971583930241004141559070991590059606747403124358259038798301149208713204556101896475434131412644333393473<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:32:58 UTC 2022 年 5 月 24 日 (火) 9 時 32 分 58 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 16:07:43 UTC 2023 年 10 月 12 日 (木) 1 時 7 分 43 秒 (日本時間)

59×10299+49

c286

composite cofactor 合成数の残り
3204791316624673503878458895619689163021962202144485806396549287541880981264401949934484601675229217593589989769426001877216204145784466892451595702416125333256877146507705245635317006946094954896476153977317804777635651114382417214779974891207439772090413505757528772647007266051773429<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 24, 2022 00:33:06 UTC 2022 年 5 月 24 日 (火) 9 時 33 分 6 秒 (日本時間)
2350Ignacio SantosOctober 11, 2023 16:24:36 UTC 2023 年 10 月 12 日 (木) 1 時 24 分 36 秒 (日本時間)

59×10300+49

c253

composite cofactor 合成数の残り
6284364554030076082596187108854370838589941758566569380578787018920674983536993565184566204909813856784363149055470907292392537376576962794483809417062032240498982512310009860745599337470161219953562403686717065182630949728229202815182333341917716371411<253>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasMay 7, 2022 03:00:00 UTC 2022 年 5 月 7 日 (土) 12 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovMay 7, 2022 19:11:25 UTC 2022 年 5 月 8 日 (日) 4 時 11 分 25 秒 (日本時間)
4511e63584Dmitry DomanovMay 13, 2022 09:32:08 UTC 2022 年 5 月 13 日 (金) 18 時 32 分 8 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovMay 13, 2022 09:32:08 UTC 2022 年 5 月 13 日 (金) 18 時 32 分 8 秒 (日本時間)