Table of contents 目次

19×1097+89

c93

name 名前Dmitry Domanov
date 日付April 14, 2022 14:44:26 UTC 2022 年 4 月 14 日 (木) 23 時 44 分 26 秒 (日本時間)
composite number 合成数
251730314689391289601153189820556032518257072296946378793178373451196116463692539243431163683<93>
prime factors 素因数
8746957504118120510434411149049056588371<40>
28779185742113773220340088587541084308310679107890673<53>
factorization results 素因数分解の結果
N=251730314689391289601153189820556032518257072296946378793178373451196116463692539243431163683
  ( 93 digits)
SNFS difficulty: 97 digits.
Divisors found:
p40 factor: 8746957504118120510434411149049056588371
p53 factor: 28779185742113773220340088587541084308310679107890673
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.14 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 251730314689391289601153189820556032518257072296946378793178373451196116463692539243431163683
m: 1000000000000000000000000
deg: 4
c4: 95
c0: 4
skew: 0.45
# Murphy_E = 3.796e-07
type: snfs
lss: 1
rlim: 300000
alim: 300000
lpbr: 24
lpba: 24
mfbr: 43
mfba: 43
rlambda: 2.1
alambda: 2.1
Factor base limits: 300000/300000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 220001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 23734 x 23959
Total sieving time: 0.13 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,97.0000,4,0,0,0,0,0,0,0,0,300000,300000,24,24,43,43,2.1,2.1,10000
total time: 0.14 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10108+89

c98

name 名前Dmitry Domanov
date 日付April 14, 2022 14:44:23 UTC 2022 年 4 月 14 日 (木) 23 時 44 分 23 秒 (日本時間)
composite number 合成数
65726476333215009707859085572675775848905727280416812574289786944172935773588741296189740394493359<98>
prime factors 素因数
8368542073591754294912383420222551601<37>
7853993653282237042212540360760254172671012520983826034708959<61>
factorization results 素因数分解の結果
N=65726476333215009707859085572675775848905727280416812574289786944172935773588741296189740394493359
  ( 98 digits)
SNFS difficulty: 109 digits.
Divisors found:
p37 factor: 8368542073591754294912383420222551601
p61 factor: 7853993653282237042212540360760254172671012520983826034708959
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.40 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 65726476333215009707859085572675775848905727280416812574289786944172935773588741296189740394493359
m: 1000000000000000000000000000
deg: 4
c4: 19
c0: 8
skew: 0.81
# Murphy_E = 1.66e-07
type: snfs
lss: 1
rlim: 460000
alim: 460000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2

Factor base limits: 460000/460000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [230000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 35575 x 35802
Total sieving time: 0.39 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,109.000,4,0,0,0,0,0,0,0,0,460000,460000,25,25,44,44,2.2,2.2,20000
total time: 0.40 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10109+89

c106

name 名前Dmitry Domanov
date 日付April 14, 2022 14:44:18 UTC 2022 年 4 月 14 日 (木) 23 時 44 分 18 秒 (日本時間)
composite number 合成数
1888968424401495267636999920464487393621251888968424401495267636999920464487393621251888968424401495267637<106>
prime factors 素因数
36268942195011976771480182304472080857386067203<47>
52082258540787626914363751930457273277548108897515353106279<59>
factorization results 素因数分解の結果
N=1888968424401495267636999920464487393621251888968424401495267636999920464487393621251888968424401495267637
  ( 106 digits)
SNFS difficulty: 109 digits.
Divisors found:
p47 factor: 36268942195011976771480182304472080857386067203
p59 factor: 52082258540787626914363751930457273277548108897515353106279
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.51 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1888968424401495267636999920464487393621251888968424401495267636999920464487393621251888968424401495267637
m: 1000000000000000000000000000
deg: 4
c4: 95
c0: 4
skew: 0.45
# Murphy_E = 1.098e-07
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 460001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 43560 x 43785
Total sieving time: 0.49 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,109.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.51 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10110+89

c81

name 名前Dmitry Domanov
date 日付April 14, 2022 14:55:04 UTC 2022 年 4 月 14 日 (木) 23 時 55 分 4 秒 (日本時間)
composite number 合成数
405179307195357820700340316767788253655171854826682710867599266432243665959582689<81>
prime factors 素因数
55211142895922230402876567700578993621<38>
7338723416016867926997246042260715162118109<43>
factorization results 素因数分解の結果
P43 = 7338723416016867926997246042260715162118109
P38 = 55211142895922230402876567700578993621
software ソフトウェア
YAFU/SIQS

ECM

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

19×10112+89

c88

name 名前Dmitry Domanov
date 日付April 14, 2022 14:55:01 UTC 2022 年 4 月 14 日 (木) 23 時 55 分 1 秒 (日本時間)
composite number 合成数
6766993146899379818543455132257053909046424233410347424201874922064721585081535917889447<88>
prime factors 素因数
22255132668194975132305358600141171966017<41>
304064381362693695785696895904928343847907810791<48>
factorization results 素因数分解の結果
PRP48 = 304064381362693695785696895904928343847907810791
PRP41 = 22255132668194975132305358600141171966017
software ソフトウェア
YAFU/SIQS

ECM

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

19×10115+89

c83

name 名前Dmitry Domanov
date 日付April 14, 2022 14:54:53 UTC 2022 年 4 月 14 日 (木) 23 時 54 分 53 秒 (日本時間)
composite number 合成数
21014244291162536153413892513538931628482698953435970211774204519333624982071502593<83>
prime factors 素因数
1167429993184838040868473100427664143<37>
18000432072020074915477755739725988446628519151<47>
factorization results 素因数分解の結果
P47 = 18000432072020074915477755739725988446628519151
P37 = 1167429993184838040868473100427664143
software ソフトウェア
YAFU/SIQS

ECM

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

19×10121+89

c114

name 名前Dmitry Domanov
date 日付April 14, 2022 15:42:50 UTC 2022 年 4 月 15 日 (金) 0 時 42 分 50 秒 (日本時間)
composite number 合成数
673489526755782233697916609065588720448449310923798786057105049365080863973349438098471655179487511051254197718433<114>
prime factors 素因数
1312915600500775480814547738576897381827<40>
512972445828885124446188404878432866284359838213182820923493447801622578379<75>
factorization results 素因数分解の結果
N=673489526755782233697916609065588720448449310923798786057105049365080863973349438098471655179487511051254197718433
  ( 114 digits)
SNFS difficulty: 121 digits.
Divisors found:
p40 factor: 1312915600500775480814547738576897381827
p75 factor: 512972445828885124446188404878432866284359838213182820923493447801622578379
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 673489526755782233697916609065588720448449310923798786057105049365080863973349438098471655179487511051254197718433
m: 1000000000000000000000000000000
deg: 4
c4: 95
c0: 4
skew: 0.45
# Murphy_E = 3.016e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 75216 x 75441
Total sieving time: 1.78 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,121.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 1.81 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10122+89

c118

name 名前Dmitry Domanov
date 日付April 14, 2022 16:25:33 UTC 2022 年 4 月 15 日 (金) 1 時 25 分 33 秒 (日本時間)
composite number 合成数
7137919634538514711628046764644005650226910708382171730832807381360262074354581793045412196074895560965347278574219337<118>
prime factors 素因数
3249506381310796422795686032325669<34>
2196616592474330682790979729601312946149886945750161607304560587941188195786413119573<85>
factorization results 素因数分解の結果
N=7137919634538514711628046764644005650226910708382171730832807381360262074354581793045412196074895560965347278574219337
  ( 118 digits)
SNFS difficulty: 122 digits.
Divisors found:
p34 factor: 3249506381310796422795686032325669
p85 factor: 2196616592474330682790979729601312946149886945750161607304560587941188195786413119573
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.93 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7137919634538514711628046764644005650226910708382171730832807381360262074354581793045412196074895560965347278574219337
m: 1000000000000000000000000000000
deg: 4
c4: 475
c0: 2
skew: 0.25
# Murphy_E = 3.227e-08
type: snfs
lss: 1
rlim: 780000
alim: 780000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 780000/780000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [390000, 690001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 71729 x 71954
Total sieving time: 1.90 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,122.000,4,0,0,0,0,0,0,0,0,780000,780000,25,25,46,46,2.2,2.2,75000
total time: 1.93 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10127+89

c126

name 名前Dmitry Domanov
date 日付April 14, 2022 18:01:11 UTC 2022 年 4 月 15 日 (金) 3 時 1 分 11 秒 (日本時間)
composite number 合成数
239898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<126>
prime factors 素因数
348955889894910455484851145345137998246795884118267<51>
687476546022010105850913710531073668665763757127410121232576625212619354097<75>
factorization results 素因数分解の結果
N=239898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
  ( 126 digits)
SNFS difficulty: 128 digits.
Divisors found:
p51 factor: 348955889894910455484851145345137998246795884118267
p75 factor: 687476546022010105850913710531073668665763757127410121232576625212619354097
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.55 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 239898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
m: 50000000000000000000000000000000
deg: 4
c4: 19
c0: 5
skew: 0.72
# Murphy_E = 1.778e-08
type: snfs
lss: 1
rlim: 950000
alim: 950000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 950000/950000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [475000, 850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 116343 x 116568
Total sieving time: 1.51 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,128.000,4,0,0,0,0,0,0,0,0,950000,950000,26,26,47,47,2.3,2.3,75000
total time: 1.55 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10141+89

c99

name 名前Ignacio Santos
date 日付April 14, 2022 15:29:31 UTC 2022 年 4 月 15 日 (金) 0 時 29 分 31 秒 (日本時間)
composite number 合成数
103375359537353097761226732492653271651721486147808287725087875457632155516632713814569900259472531<99>
prime factors 素因数
67346015447218948548866655572381888693768419151<47>
1534988504529587277449266576120377920766358741376381<52>
factorization results 素因数分解の結果
prp52 = 1534988504529587277449266576120377920766358741376381
04/14/22 17:29:15 v1.34.5 @ DESKTOP-M5CJ3QV, prp47 = 67346015447218948548866655572381888693768419151
software ソフトウェア
Yafu

ECM

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

19×10142+89

c93

name 名前Ignacio Santos
date 日付April 14, 2022 15:18:08 UTC 2022 年 4 月 15 日 (金) 0 時 18 分 8 秒 (日本時間)
composite number 合成数
469710689125564194979455696532592925481947327520104026399166322413507405388649418191261135383<93>
prime factors 素因数
12991443184066685270447125511311849<35>
36155389549148734748394181011483201798827649686540538733567<59>
factorization results 素因数分解の結果
prp35 = 12991443184066685270447125511311849
prp59 = 36155389549148734748394181011483201798827649686540538733567
software ソフトウェア
Yafu

ECM

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

19×10143+89

c142

name 名前Ignacio Santos
date 日付April 16, 2022 22:55:08 UTC 2022 年 4 月 17 日 (日) 7 時 55 分 8 秒 (日本時間)
composite number 合成数
2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<142>
prime factors 素因数
7648935581757986212683745222367913391<37>
313637090200010458127184714682205946702085514241289790295009557597225361608649002298516861837722519249189<105>
factorization results 素因数分解の結果
N=2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
  ( 142 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=7648935581757986212683745222367913391 (pp37)
 r2=313637090200010458127184714682205946702085514241289790295009557597225361608649002298516861837722519249189 (pp105)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.29 hours.
Scaled time: 25.93 units (timescale=7.893).
Factorization parameters were as follows:
n: 2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
m: 10000000000000000000000000000
deg: 5
c5: 2375
c0: 1
skew: 0.21
# Murphy_E = 3.428e-09
type: snfs
lss: 1
rlim: 1720000
alim: 1720000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1720000/1720000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [860000, 1560001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 209718 x 209946
Total sieving time: 3.25 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,143.000,5,0,0,0,0,0,0,0,0,1720000,1720000,26,26,48,48,2.3,2.3,100000
total time: 3.29 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

19×10147+89

c137

name 名前Ignacio Santos
date 日付April 17, 2022 08:22:21 UTC 2022 年 4 月 17 日 (日) 17 時 22 分 21 秒 (日本時間)
composite number 合成数
31340916503025946743200042506116027802634816194737025759283373679608245071068360531711808755607876063091061553475464047365766911921931413<137>
prime factors 素因数
160719484571044265919013756065620330316613<42>
809530068287754603325280798650461528881807<42>
240885232925326521804136843335680989427056314851291743<54>
factorization results 素因数分解の結果
N=31340916503025946743200042506116027802634816194737025759283373679608245071068360531711808755607876063091061553475464047365766911921931413
  ( 137 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=160719484571044265919013756065620330316613 (pp42)
 r2=809530068287754603325280798650461528881807 (pp42)
 r3=240885232925326521804136843335680989427056314851291743 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 4.67 hours.
Scaled time: 36.51 units (timescale=7.813).
Factorization parameters were as follows:
n: 31340916503025946743200042506116027802634816194737025759283373679608245071068360531711808755607876063091061553475464047365766911921931413
m: 100000000000000000000000000000
deg: 5
c5: 475
c0: 2
skew: 0.33
# Murphy_E = 2.198e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1000000, 2000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 276220 x 276446
Total sieving time: 4.62 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,147.000,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 4.67 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

19×10149+89

c123

name 名前Ignacio Santos
date 日付April 17, 2022 08:48:16 UTC 2022 年 4 月 17 日 (日) 17 時 48 分 16 秒 (日本時間)
composite number 合成数
702070974796743540192294207654937750696223823190393067869765891608040537848338910744683153977289745438074760095834667597893<123>
prime factors 素因数
118926869244002552961346723208495080348147<42>
5903383980926150319615286939306511525973542387975491204686537216763170286413337319<82>
factorization results 素因数分解の結果
N=702070974796743540192294207654937750696223823190393067869765891608040537848338910744683153977289745438074760095834667597893
  ( 123 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=118926869244002552961346723208495080348147 (pp42)
 r2=5903383980926150319615286939306511525973542387975491204686537216763170286413337319 (pp82)
Version: Msieve v. 1.52 (SVN 927)
Total time: 5.68 hours.
Scaled time: 44.85 units (timescale=7.893).
Factorization parameters were as follows:
n: 702070974796743540192294207654937750696223823190393067869765891608040537848338910744683153977289745438074760095834667597893
m: 500000000000000000000000000000
deg: 5
c5: 38
c0: 5
skew: 0.67
# Murphy_E = 1.993e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 1500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 358967 x 359197
Total sieving time: 5.62 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,150.000,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 5.68 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

19×10150+89

c107

name 名前Eric Jeancolas
date 日付April 15, 2022 09:06:21 UTC 2022 年 4 月 15 日 (金) 18 時 6 分 21 秒 (日本時間)
composite number 合成数
54538521022547403121949838388022674218121908982890863986416348882634813183567635698979637314123002146581929<107>
prime factors 素因数
121305121892402576486322306520724070597641<42>
449597841968478235692864858878666763295316853012651465533625156769<66>
factorization results 素因数分解の結果
54538521022547403121949838388022674218121908982890863986416348882634813183567635698979637314123002146581929=121305121892402576486322306520724070597641*449597841968478235692864858878666763295316853012651465533625156769

cado polynomial
n: 54538521022547403121949838388022674218121908982890863986416348882634813183567635698979637314123002146581929
skew: 8649.374
c0: 519737266148688706627740
c1: -354177401653839344436
c2: 6496040969933117
c3: 5251051218061
c4: 262945968
c5: 16560
Y0: -454763385344078377929
Y1: 447635825941357
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 3.102e-06
# f(x) = 16560*x^5+262945968*x^4+5251051218061*x^3+6496040969933117*x^2-354177401653839344436*x+519737266148688706627740
# g(x) = 447635825941357*x-454763385344078377929

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: 121305121892402576486322306520724070597641 449597841968478235692864858878666763295316853012651465533625156769
Info:Square Root: Total cpu/real time for sqrt: 121.53/35.5004
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 72.86/79.4393
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.5s
Info:Square Root: Total cpu/real time for sqrt: 121.53/35.5004
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.87/60.5207
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5110190
Info:Lattice Sieving: Average J: 1901.17 for 60624 special-q, max bucket fill -bkmult 1.0,1s:1.232930
Info:Lattice Sieving: Total time: 5579.36s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.52/0.417441
Info:Linear Algebra: Total cpu/real time for bwc: 666.99/173.44
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 395.79, WCT time 101.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.81, WCT time 8.38
Info:Linear Algebra: Mksol: CPU time 220.81,  WCT time 56.71, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3712 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.41/16.3231
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.51/20.8454
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.199999999999996s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 156.9
Info:Polynomial Selection (root optimized): Rootsieve time: 156.28
Info:Filtering - Merging: Merged matrix has 235540 rows and total weight 34240645 (145.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 31.04/9.55399
Info:Filtering - Merging: Total cpu/real time for replay: 7.36/5.90727
Info:Quadratic Characters: Total cpu/real time for characters: 8.76/3.36802
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): 10077/31.350/37.875/43.590/1.100
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7844/29.540/33.553/38.300/0.904
Info:Polynomial Selection (size optimized): Total time: 489.21
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 11695.9/3316.77
Info:root: Cleaning up computation data in /tmp/cado.u2tv61uz
121305121892402576486322306520724070597641 449597841968478235692864858878666763295316853012651465533625156769
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10151+89

c102

name 名前Ignacio Santos
date 日付April 14, 2022 15:38:25 UTC 2022 年 4 月 15 日 (金) 0 時 38 分 25 秒 (日本時間)
composite number 合成数
356528277069706195519668588688706841743446578896048655499645838787327329493760426534703557225089873499<102>
prime factors 素因数
72168915939678905674660374976687579417956313794073<50>
4940191666003462806479179722260216778757806519625363<52>
factorization results 素因数分解の結果
prp50 = 72168915939678905674660374976687579417956313794073
prp52 = 4940191666003462806479179722260216778757806519625363
software ソフトウェア
Yafu

ECM

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

19×10152+89

c146

name 名前Ignacio Santos
date 日付April 17, 2022 09:07:22 UTC 2022 年 4 月 17 日 (日) 18 時 7 分 22 秒 (日本時間)
composite number 合成数
21866665635480750382942859134203414864231944648149697996028276959227921642023625021763086692996894196918392959357188162243477541921620479204985121<146>
prime factors 素因数
57546080871595451536533006046953583193767234309757<50>
379985314452127384798224488181429163432976996278970012269492155756258029305314862767039093224053<96>
factorization results 素因数分解の結果
N=21866665635480750382942859134203414864231944648149697996028276959227921642023625021763086692996894196918392959357188162243477541921620479204985121
  ( 146 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=57546080871595451536533006046953583193767234309757 (pp50)
 r2=379985314452127384798224488181429163432976996278970012269492155756258029305314862767039093224053 (pp96)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.33 hours.
Scaled time: 65.40 units (timescale=7.849).
Factorization parameters were as follows:
n: 21866665635480750382942859134203414864231944648149697996028276959227921642023625021763086692996894196918392959357188162243477541921620479204985121
m: 1000000000000000000000000000000
deg: 5
c5: 475
c0: 2
skew: 0.33
# Murphy_E = 1.421e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 358520 x 358745
Total sieving time: 8.26 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,152.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 8.33 hours.
software ソフトウェア
GNFS, Msieve

ECM

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

19×10155+89

c154

name 名前Bob Backstrom
date 日付April 17, 2022 13:47:47 UTC 2022 年 4 月 17 日 (日) 22 時 47 分 47 秒 (日本時間)
composite number 合成数
2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<154>
prime factors 素因数
179271866564552335354689384532676449399375018373847792617<57>
13381853745166808308282861490781287116901648110491410103392126449014009903419628816892783543465747<98>
factorization results 素因数分解の結果
Number: n
N=2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899  ( 154 digits)
SNFS difficulty: 156 digits.
Divisors found:

Sun Apr 17 23:41:59 2022  p57 factor: 179271866564552335354689384532676449399375018373847792617
Sun Apr 17 23:41:59 2022  p98 factor: 13381853745166808308282861490781287116901648110491410103392126449014009903419628816892783543465747
Sun Apr 17 23:41:59 2022  elapsed time 00:05:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.294).
Factorization parameters were as follows:
#
# N = 19x10^155+8 = 21(154)2
#
n: 2398989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899
m: 10000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 1.225e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 7000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1150698 hash collisions in 15788505 relations (15361307 unique)
Msieve: matrix is 298552 x 298778 (99.2 MB)

Sieving start time : 2022/04/17 23:09:24
Sieving end time  : 2022/04/17 23:28:41

Total sieving time: 0hrs 19min 17secs.

Total relation processing time: 0hrs 1min 30sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 25sec.

Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10157+89

c138

name 名前Ignacio Santos
date 日付April 18, 2022 22:11:50 UTC 2022 年 4 月 19 日 (火) 7 時 11 分 50 秒 (日本時間)
composite number 合成数
205109077322682345903298865440621094905211883008770121084613164514108950803759313017457297805460766115604038209280419583473233679870690959<138>
prime factors 素因数
1116023521439093229086835657376219<34>
composite cofactor 合成数の残り
183785622240468284515661463910132126291250338547742367026893605225129983994662768349672465146865734266461<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1703461627
Step 1 took 3187ms
********** Factor found in step 2: 1116023521439093229086835657376219
Found prime factor of 34 digits: 1116023521439093229086835657376219
Composite cofactor 183785622240468284515661463910132126291250338547742367026893605225129983994662768349672465146865734266461 has 105 digits
 
software ソフトウェア
GMP-ECM

c105

name 名前Dmitry Domanov
date 日付April 19, 2022 23:12:42 UTC 2022 年 4 月 20 日 (水) 8 時 12 分 42 秒 (日本時間)
composite number 合成数
183785622240468284515661463910132126291250338547742367026893605225129983994662768349672465146865734266461<105>
prime factors 素因数
2058514916265396591423778761167572979355387133401373<52>
89280685210625646484643710097452391187858116219643457<53>
factorization results 素因数分解の結果
N=183785622240468284515661463910132126291250338547742367026893605225129983994662768349672465146865734266461
  ( 105 digits)
Divisors found:
p52 factor: 2058514916265396591423778761167572979355387133401373
p53 factor: 89280685210625646484643710097452391187858116219643457
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 6.38 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 183785622240468284515661463910132126291250338547742367026893605225129983994662768349672465146865734266461
skew: 2308624.00
c0: -35958622507493762686891793204
c1: -126447279111227892512668
c2: -38486884440879769
c3: -1775809778
c4: 9240
Y0: -11875719785077743238202733
Y1: 29108275216873
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1250000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 294150 x 294376
Total sieving time: 6.12 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,104,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,52,52,2.5,2.5,150000
total time: 6.38 hours.
 --------- CPU info (if available) ----------

ECM

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

19×10158+89

c132

name 名前Ignacio Santos
date 日付April 20, 2022 22:12:36 UTC 2022 年 4 月 21 日 (木) 7 時 12 分 36 秒 (日本時間)
composite number 合成数
101981016053489196732818139643880342883027316682110435511337247581410647924959004931091257112427298523957087450178139619817623303979<132>
prime factors 素因数
761566207674282673909807032727968225814282477961220532481<57>
133909586620085261483339596745449561543261756897433141615706459603514479659<75>
factorization results 素因数分解の結果
N=101981016053489196732818139643880342883027316682110435511337247581410647924959004931091257112427298523957087450178139619817623303979
  ( 132 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=761566207674282673909807032727968225814282477961220532481 (pp57)
 r2=133909586620085261483339596745449561543261756897433141615706459603514479659 (pp75)
Version: Msieve v. 1.52 (SVN 927)
Total time: 11.96 hours.
Scaled time: 94.24 units (timescale=7.880).
Factorization parameters were as follows:
n: 101981016053489196732818139643880342883027316682110435511337247581410647924959004931091257112427298523957087450178139619817623303979
m: 10000000000000000000000000000000
deg: 5
c5: 2375
c0: 1
skew: 0.21
# Murphy_E = 9.248e-10
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 2450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 389310 x 389536
Total sieving time: 11.88 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,158.000,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 11.96 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 22:10:08 UTC 2022 年 4 月 19 日 (火) 7 時 10 分 8 秒 (日本時間)

19×10161+89

c131

name 名前Ignacio Santos
date 日付April 23, 2022 13:19:37 UTC 2022 年 4 月 23 日 (土) 22 時 19 分 37 秒 (日本時間)
composite number 合成数
27787461260514635872688753063066470645881775964634799396707761111512055898161123495884212672075327281031586553505796622467010336851<131>
prime factors 素因数
180013596955743035694342847255287098160295452760956341<54>
154363124399687870018815599971108773100477267485713015445190822616143416763111<78>
factorization results 素因数分解の結果
N=27787461260514635872688753063066470645881775964634799396707761111512055898161123495884212672075327281031586553505796622467010336851
  ( 131 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=180013596955743035694342847255287098160295452760956341 (pp54)
 r2=154363124399687870018815599971108773100477267485713015445190822616143416763111 (pp78)
Version: Msieve v. 1.52 (SVN 927)
Total time: 16.85 hours.
Scaled time: 131.75 units (timescale=7.819).
Factorization parameters were as follows:
n: 27787461260514635872688753063066470645881775964634799396707761111512055898161123495884212672075327281031586553505796622467010336851
m: 100000000000000000000000000000000
deg: 5
c5: 95
c0: 4
skew: 0.53
# Murphy_E = 5.728e-10
type: snfs
lss: 1
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1750000, 3050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 594569 x 594799
Total sieving time: 16.73 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,161.000,5,0,0,0,0,0,0,0,0,3500000,3500000,27,27,51,51,2.4,2.4,100000
total time: 16.85 hours.
 --------- CPU info (if ava
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 21:59:29 UTC 2022 年 4 月 19 日 (火) 6 時 59 分 29 秒 (日本時間)

19×10164+89

c158

name 名前Bob Backstrom
date 日付April 16, 2022 11:55:16 UTC 2022 年 4 月 16 日 (土) 20 時 55 分 16 秒 (日本時間)
composite number 合成数
66611526346331135293198696713934205762023240270720461854874379075398357962769906398885526058569341477048192247315835957827471378780063885361983862341040357049<158>
prime factors 素因数
1472816509444011190325344018927642148251288303742941490917<58>
45227308302971843112592957680141080238214122096934535984923968304678460580567548385962264799843139397<101>
factorization results 素因数分解の結果
Number: n
N=66611526346331135293198696713934205762023240270720461854874379075398357962769906398885526058569341477048192247315835957827471378780063885361983862341040357049  ( 158 digits)
SNFS difficulty: 165 digits.
Divisors found:

Sat Apr 16 21:47:10 2022  p58 factor: 1472816509444011190325344018927642148251288303742941490917
Sat Apr 16 21:47:10 2022  p101 factor: 45227308302971843112592957680141080238214122096934535984923968304678460580567548385962264799843139397
Sat Apr 16 21:47:10 2022  elapsed time 00:08:13 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 19x10^164+8 = 21(163)2
#
n: 66611526346331135293198696713934205762023240270720461854874379075398357962769906398885526058569341477048192247315835957827471378780063885361983862341040357049
m: 500000000000000000000000000000000
deg: 5
c5: 38
c0: 5
skew: 0.67
# Murphy_E = 5.259e-10
type: snfs
lss: 1
rlim: 3900000
alim: 3900000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3900000/3900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2040435 hash collisions in 19761772 relations (18547414 unique)
Msieve: matrix is 649798 x 650042 (93.1 MB)

Sieving start time : 2022/04/16 21:07:07
Sieving end time  : 2022/04/16 21:38:36

Total sieving time: 0hrs 31min 29secs.

Total relation processing time: 0hrs 2min 51sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 19sec.

Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3900000,3900000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10165+89

c159

name 名前Bob Backstrom
date 日付April 16, 2022 01:17:32 UTC 2022 年 4 月 16 日 (土) 10 時 17 分 32 秒 (日本時間)
composite number 合成数
339372448187115249883148707576836422908654797633280848491135805993846141535315239852013607477682510573059314730579000833212945422765904028901100581277129254891<159>
prime factors 素因数
606420695134656689742778441156265299687704186677662294185203<60>
559632035829115384105399056277231145216831645867354357816169705400381042201560730316294068041203497<99>
factorization results 素因数分解の結果
Number: n
N=339372448187115249883148707576836422908654797633280848491135805993846141535315239852013607477682510573059314730579000833212945422765904028901100581277129254891  ( 159 digits)
SNFS difficulty: 166 digits.
Divisors found:

Sat Apr 16 11:13:47 2022  p60 factor: 606420695134656689742778441156265299687704186677662294185203
Sat Apr 16 11:13:47 2022  p99 factor: 559632035829115384105399056277231145216831645867354357816169705400381042201560730316294068041203497
Sat Apr 16 11:13:47 2022  elapsed time 00:07:33 (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 = 19x10^165+8 = 21(164)2
#
n: 339372448187115249883148707576836422908654797633280848491135805993846141535315239852013607477682510573059314730579000833212945422765904028901100581277129254891
m: 1000000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 5.004e-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, 7650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1773792 hash collisions in 18266682 relations (17266451 unique)
Msieve: matrix is 440864 x 441091 (148.0 MB)

Sieving start time : 2022/04/16 10:32:01
Sieving end time  : 2022/04/16 11:05:52

Total sieving time: 0hrs 33min 51secs.

Total relation processing time: 0hrs 2min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 20sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10166+89

c137

name 名前Ignacio Santos
date 日付April 23, 2022 16:12:14 UTC 2022 年 4 月 24 日 (日) 1 時 12 分 14 秒 (日本時間)
composite number 合成数
17783651439573396555192016353853555286390416448942042178036774970831966857750859617095949303817705887724533043309880203829193901105534939<137>
prime factors 素因数
1407099018683716874145481271592365285784783416183<49>
12638521670073559830392401334868763872415824958860717450598280526067924184969618236262333<89>
factorization results 素因数分解の結果
N=17783651439573396555192016353853555286390416448942042178036774970831966857750859617095949303817705887724533043309880203829193901105534939
  ( 137 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1407099018683716874145481271592365285784783416183 (pp49)
 r2=12638521670073559830392401334868763872415824958860717450598280526067924184969618236262333 (pp89)
Version: Msieve v. 1.52 (SVN 927)
Total time: 22.73 hours.
Scaled time: 178.39 units (timescale=7.849).
Factorization parameters were as follows:
n: 17783651439573396555192016353853555286390416448942042178036774970831966857750859617095949303817705887724533043309880203829193901105534939
m: 1000000000000000000000000000000000
deg: 5
c5: 95
c0: 4
skew: 0.53
# Murphy_E = 3.65e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 805950 x 806175
Total sieving time: 22.56 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 22.73 hours.
software ソフトウェア
GNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 15:15:13 UTC 2022 年 4 月 19 日 (火) 0 時 15 分 13 秒 (日本時間)

19×10167+89

c154

name 名前Bob Backstrom
date 日付April 17, 2022 12:28:38 UTC 2022 年 4 月 17 日 (日) 21 時 28 分 38 秒 (日本時間)
composite number 合成数
6214494208322328147459073142285416039414983067229770730432757419571436119967714650743670500673492447890230776215199013656975323994749526016386746421186323<154>
prime factors 素因数
21922047508408912825525659881255891649341366099<47>
283481467957705921207892576141760258329232296014496264416573184656445956374311513148251993228299993465133377<108>
factorization results 素因数分解の結果
Number: n
N=6214494208322328147459073142285416039414983067229770730432757419571436119967714650743670500673492447890230776215199013656975323994749526016386746421186323  ( 154 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sun Apr 17 22:24:59 2022  p47 factor: 21922047508408912825525659881255891649341366099
Sun Apr 17 22:24:59 2022  p108 factor: 283481467957705921207892576141760258329232296014496264416573184656445956374311513148251993228299993465133377
Sun Apr 17 22:24:59 2022  elapsed time 00:08:14 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.279).
Factorization parameters were as follows:
#
# N = 19x10^167+8 = 21(166)2
#
n: 6214494208322328147459073142285416039414983067229770730432757419571436119967714650743670500673492447890230776215199013656975323994749526016386746421186323
m: 1000000000000000000000000000000000
deg: 5
c5: 475
c0: 2
skew: 0.33
# Murphy_E = 3.725e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2184183 hash collisions in 17187284 relations (16031048 unique)
Msieve: matrix is 496907 x 497132 (167.5 MB)

Sieving start time : 2022/04/17 21:58:19
Sieving end time  : 2022/04/17 22:16:23

Total sieving time: 0hrs 18min 4secs.

Total relation processing time: 0hrs 3min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 27sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10168+89

c167

name 名前Bob Backstrom
date 日付April 15, 2022 23:40:22 UTC 2022 年 4 月 16 日 (土) 8 時 40 分 22 秒 (日本時間)
composite number 合成数
29320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<167>
prime factors 素因数
386598044161728706893657238628157192214593932398620387359<57>
75843600600459582778048545031189438155954504701339204512181782737644627151230095217361313407393457628862985519<110>
factorization results 素因数分解の結果
Number: n
N=29320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321  ( 167 digits)
SNFS difficulty: 168 digits.
Divisors found:

Sat Apr 16 09:36:17 2022  p57 factor: 386598044161728706893657238628157192214593932398620387359
Sat Apr 16 09:36:17 2022  p110 factor: 75843600600459582778048545031189438155954504701339204512181782737644627151230095217361313407393457628862985519
Sat Apr 16 09:36:17 2022  elapsed time 00:08:35 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
#
# N = 19x10^168+8 = 21(167)2
#
n: 29320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321
m: 1000000000000000000000000000000000
deg: 5
c5: 2375
c0: 1
skew: 0.21
# Murphy_E = 3.766e-10
type: snfs
lss: 1
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 7850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1666591 hash collisions in 15855161 relations (15209719 unique)
Msieve: matrix is 513520 x 513746 (178.0 MB)

Sieving start time : 2022/04/16 09:21:22
Sieving end time  : 2022/04/16 09:26:58

Total sieving time: 0hrs 5min 36secs.

Total relation processing time: 0hrs 4min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 32sec.

Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10169+89

c143

name 名前Taiyo Kodama
date 日付May 9, 2022 02:02:09 UTC 2022 年 5 月 9 日 (月) 11 時 2 分 9 秒 (日本時間)
composite number 合成数
32585866296902417174005796039692569933924167587869544565956735421744281673052449121651431861049001566076976351473201728417074562756913458124571<143>
prime factors 素因数
27953295544037027494128885875596352057861419<44>
1165725388105575466312961314977188907020389256181185587833038269027535100837985992353336434462752209<100>
factorization results 素因数分解の結果
Mon May  9 03:36:29 2022  Msieve v. 1.53 (SVN unknown)
Mon May  9 03:36:29 2022  random seeds: 8314c6d0 3c06fac9
Mon May  9 03:36:29 2022  factoring 32585866296902417174005796039692569933924167587869544565956735421744281673052449121651431861049001566076976351473201728417074562756913458124571 (143 digits)
Mon May  9 03:36:30 2022  searching for 15-digit factors
Mon May  9 03:36:30 2022  commencing number field sieve (143-digit input)
Mon May  9 03:36:30 2022  R0: -5000000000000000000000000000000000
Mon May  9 03:36:30 2022  R1: 1
Mon May  9 03:36:30 2022  A0: 5
Mon May  9 03:36:30 2022  A1: 0
Mon May  9 03:36:30 2022  A2: 0
Mon May  9 03:36:30 2022  A3: 0
Mon May  9 03:36:30 2022  A4: 0
Mon May  9 03:36:30 2022  A5: 38
Mon May  9 03:36:30 2022  skew 0.67, size 1.075e-11, alpha -0.285, combined = 3.340e-10 rroots = 1
Mon May  9 03:36:30 2022  
Mon May  9 03:36:30 2022  commencing square root phase
Mon May  9 03:36:30 2022  reading relations for dependency 1
Mon May  9 03:36:30 2022  read 318610 cycles
Mon May  9 03:36:30 2022  cycles contain 1028518 unique relations
Mon May  9 03:36:39 2022  read 1028518 relations
Mon May  9 03:36:41 2022  multiplying 1028518 relations
Mon May  9 03:36:57 2022  multiply complete, coefficients have about 27.40 million bits
Mon May  9 03:36:57 2022  initial square root is modulo 73768351
Mon May  9 03:37:14 2022  sqrtTime: 44
Mon May  9 03:37:14 2022  p44 factor: 27953295544037027494128885875596352057861419
Mon May  9 03:37:14 2022  p100 factor: 1165725388105575466312961314977188907020389256181185587833038269027535100837985992353336434462752209
Mon May  9 03:37:14 2022  elapsed time 00:00:45
Mon May 09 03:37:14 2022 -> Computing time scale for this machine...
Mon May 09 03:37:14 2022 -> procrels -speedtest> PIPE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 18, 2022 10:58:48 UTC 2022 年 4 月 18 日 (月) 19 時 58 分 48 秒 (日本時間)

19×10170+89

c90

name 名前Ignacio Santos
date 日付April 14, 2022 15:14:07 UTC 2022 年 4 月 15 日 (金) 0 時 14 分 7 秒 (日本時間)
composite number 合成数
584514277236966081720304218846502099506091407473420988932076110142438426168328855804249057<90>
prime factors 素因数
437491761675805820030065577724515247440243<42>
1336057792261030602159795711698304018818490155099<49>
factorization results 素因数分解の結果
prp49 = 1336057792261030602159795711698304018818490155099
prp42 = 437491761675805820030065577724515247440243
software ソフトウェア
Yafu

ECM

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

19×10174+89

c144

name 名前Bob Backstrom
date 日付May 11, 2022 14:40:44 UTC 2022 年 5 月 11 日 (水) 23 時 40 分 44 秒 (日本時間)
composite number 合成数
645391915821277772625930244355521596341246820009957986134303713121980631207129131460858189309270005001681842067240936561161858537750766125425201<144>
prime factors 素因数
17027198807077377230789736749265261679434367459051<50>
37903587262575438255206543468595278952215584938242094640452804207929601553399660071600365933651<95>
factorization results 素因数分解の結果
Number: n
N=645391915821277772625930244355521596341246820009957986134303713121980631207129131460858189309270005001681842067240936561161858537750766125425201  ( 144 digits)
SNFS difficulty: 175 digits.
Divisors found:

Thu May 12 00:27:55 2022  p50 factor: 17027198807077377230789736749265261679434367459051
Thu May 12 00:27:55 2022  p95 factor: 37903587262575438255206543468595278952215584938242094640452804207929601553399660071600365933651
Thu May 12 00:27:55 2022  elapsed time 00:14:45 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 19x10^174+8 = 21(173)2
#
n: 645391915821277772625930244355521596341246820009957986134303713121980631207129131460858189309270005001681842067240936561161858537750766125425201
m: 50000000000000000000000000000000000
deg: 5
c5: 38
c0: 5
skew: 0.67
# Murphy_E = 2.112e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4276713 hash collisions in 31510121 relations (28935034 unique)
Msieve: matrix is 632749 x 632975 (210.7 MB)

Sieving start time : 2022/05/11 23:12:48
Sieving end time  : 2022/05/12 00:12:42

Total sieving time: 0hrs 59min 54secs.

Total relation processing time: 0hrs 5min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 29sec.

Prototype def-par.txt line would be:
snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 14:05:51 UTC 2022 年 4 月 17 日 (日) 23 時 5 分 51 秒 (日本時間)

19×10179+89

c176

name 名前Bob Backstrom
date 日付April 16, 2022 02:42:39 UTC 2022 年 4 月 16 日 (土) 11 時 42 分 39 秒 (日本時間)
composite number 合成数
35805819387908940147746117895371626714910296999849238655208804462535805819387908940147746117895371626714910296999849238655208804462535805819387908940147746117895371626714910297<176>
prime factors 素因数
1425209858731318226282733823081833493609<40>
25123190924164862689662503136874950795970987883587486199113801246239182055893079516618150622784836086101751641568315002011383194580126833<137>
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 35805819387908940147746117895371626714910296999849238655208804462535805819387908940147746117895371626714910296999849238655208804462535805819387908940147746117895371626714910297 (176 digits)
Using B1=11820000, B2=35134365640, polynomial Dickson(12), sigma=1:3021901679
Step 1 took 33438ms
Step 2 took 12961ms
********** Factor found in step 2: 1425209858731318226282733823081833493609
Found prime factor of 40 digits: 1425209858731318226282733823081833493609
Prime cofactor 25123190924164862689662503136874950795970987883587486199113801246239182055893079516618150622784836086101751641568315002011383194580126833 has 137 digits

ECM

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

19×10180+89

c154

name 名前Bob Backstrom
date 日付April 16, 2022 20:45:09 UTC 2022 年 4 月 17 日 (日) 5 時 45 分 9 秒 (日本時間)
composite number 合成数
1449015920811454167148989715783798292328446967974325598319366419023871467327235501415537863062461344272646314062041058914831293265965997331142425749992907<154>
prime factors 素因数
263315838307985083358624923561613192022255810379729130016400676311<66>
5502957703275810094592951093994856907138609006297225225966491497280485957706358475995437<88>
factorization results 素因数分解の結果
Number: n
N=1449015920811454167148989715783798292328446967974325598319366419023871467327235501415537863062461344272646314062041058914831293265965997331142425749992907  ( 154 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Apr 17 06:20:56 2022  p66 factor: 263315838307985083358624923561613192022255810379729130016400676311
Sun Apr 17 06:20:56 2022  p88 factor: 5502957703275810094592951093994856907138609006297225225966491497280485957706358475995437
Sun Apr 17 06:20:56 2022  elapsed time 00:16:12 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 19x10^180+8 = 21(179)2
#
n: 1449015920811454167148989715783798292328446967974325598319366419023871467327235501415537863062461344272646314062041058914831293265965997331142425749992907
m: 1000000000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 1.26e-10
type: snfs
lss: 1
rlim: 7400000
alim: 7400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3088284 hash collisions in 30951870 relations (29856974 unique)
Msieve: matrix is 738412 x 738646 (250.0 MB)

Sieving start time : 2022/04/17 02:57:52
Sieving end time  : 2022/04/17 05:40:06

Total sieving time: 2hrs 42min 14secs.

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

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7400000,7400000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10181+89

c157

name 名前Bob Backstrom
date 日付April 16, 2022 15:56:35 UTC 2022 年 4 月 17 日 (日) 0 時 56 分 35 秒 (日本時間)
composite number 合成数
1382702430983933121398252944229825211316279733208341323630439164333157921915624895232074574861518451814528088190040864791807067963987168875853737311535133389<157>
prime factors 素因数
161793494968386893323806621223002718485631565088073<51>
8546094088974972111813298837000422693770509827184272085928715992112472258797912959133007575870476336936293<106>
factorization results 素因数分解の結果
Number: n
N=1382702430983933121398252944229825211316279733208341323630439164333157921915624895232074574861518451814528088190040864791807067963987168875853737311535133389  ( 157 digits)
SNFS difficulty: 181 digits.
Divisors found:

Sun Apr 17 01:52:02 2022  p51 factor: 161793494968386893323806621223002718485631565088073
Sun Apr 17 01:52:02 2022  p106 factor: 8546094088974972111813298837000422693770509827184272085928715992112472258797912959133007575870476336936293
Sun Apr 17 01:52:02 2022  elapsed time 00:20:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.337).
Factorization parameters were as follows:
#
# N = 19x10^181+8 = 21(180)2
#
n: 1382702430983933121398252944229825211316279733208341323630439164333157921915624895232074574861518451814528088190040864791807067963987168875853737311535133389
m: 1000000000000000000000000000000000000
deg: 5
c5: 95
c0: 4
skew: 0.53
# Murphy_E = 9.18e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3703873 hash collisions in 32078150 relations (30323168 unique)
Msieve: matrix is 858266 x 858496 (290.7 MB)

Sieving start time : 2022/04/16 22:34:58
Sieving end time  : 2022/04/17 01:30:48

Total sieving time: 2hrs 55min 50secs.

Total relation processing time: 0hrs 11min 5sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 44sec.

Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10184+89

c92

name 名前Ignacio Santos
date 日付April 14, 2022 15:16:28 UTC 2022 年 4 月 15 日 (金) 0 時 16 分 28 秒 (日本時間)
composite number 合成数
20616901664369720859191426956274740534803630088602428475348148172444889220256250683056956149<92>
prime factors 素因数
24761738080821445307464321096735778279<38>
832611248736937462023847601911742679672506606612110531<54>
factorization results 素因数分解の結果
prp38 = 24761738080821445307464321096735778279
prp54 = 832611248736937462023847601911742679672506606612110531
software ソフトウェア
Yafu

ECM

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

19×10185+89

c171

name 名前Bob Backstrom
date 日付April 18, 2022 07:48:25 UTC 2022 年 4 月 18 日 (月) 16 時 48 分 25 秒 (日本時間)
composite number 合成数
939129024757669965419999537138019204364330895994693065665607000491381131830280769713343942698004339911125901651823903142655794317855050861926240630501901660978135681752387<171>
prime factors 素因数
198584080646205867323971006197156740743306149686744874318346611472577<69>
4729125424866290231122432256077269981458256939127167116090394014121582138311340668250524413478350582531<103>
factorization results 素因数分解の結果
Number: n
N=939129024757669965419999537138019204364330895994693065665607000491381131830280769713343942698004339911125901651823903142655794317855050861926240630501901660978135681752387  ( 171 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Apr 18 17:44:09 2022  p69 factor: 198584080646205867323971006197156740743306149686744874318346611472577
Mon Apr 18 17:44:09 2022  p103 factor: 4729125424866290231122432256077269981458256939127167116090394014121582138311340668250524413478350582531
Mon Apr 18 17:44:09 2022  elapsed time 00:21:42 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.321).
Factorization parameters were as follows:
#
# N = 19x10^185+8 = 21(184)2
#
n: 939129024757669965419999537138019204364330895994693065665607000491381131830280769713343942698004339911125901651823903142655794317855050861926240630501901660978135681752387
m: 10000000000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 7.887e-11
type: snfs
lss: 1
rlim: 8900000
alim: 8900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8900000/8900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3317951 hash collisions in 32124886 relations (30875524 unique)
Msieve: matrix is 904900 x 905127 (309.3 MB)

Sieving start time : 2022/04/18 14:43:35
Sieving end time  : 2022/04/18 17:21:50

Total sieving time: 2hrs 38min 15secs.

Total relation processing time: 0hrs 12min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 55sec.

Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8900000,8900000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:09:36 UTC 2022 年 4 月 18 日 (月) 1 時 9 分 36 秒 (日本時間)

19×10187+89

c178

name 名前Bob Backstrom
date 日付April 18, 2022 01:41:11 UTC 2022 年 4 月 18 日 (月) 10 時 41 分 11 秒 (日本時間)
composite number 合成数
2273893447359253094703804889025996142648154377930036591544098632557659095320611747011349723809871621530006681046495003124080186464019189836219352817048690737444180869364687504919<178>
prime factors 素因数
7336674226188910804950315619482270742012482268207<49>
131947295549422224697785790749387967467701090224550111683<57>
2348931660726300301174583781593671215558289665250943389779559659298013299<73>
factorization results 素因数分解の結果
Number: n
N=2273893447359253094703804889025996142648154377930036591544098632557659095320611747011349723809871621530006681046495003124080186464019189836219352817048690737444180869364687504919  ( 178 digits)
SNFS difficulty: 187 digits.
Divisors found:

Mon Apr 18 11:32:57 2022  found factor: 7336674226188910804950315619482270742012482268207
Mon Apr 18 11:36:22 2022  p49 factor: 7336674226188910804950315619482270742012482268207
Mon Apr 18 11:36:22 2022  p57 factor: 131947295549422224697785790749387967467701090224550111683
Mon Apr 18 11:36:22 2022  p73 factor: 2348931660726300301174583781593671215558289665250943389779559659298013299
Mon Apr 18 11:36:22 2022  elapsed time 00:30:00 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 19x10^187+8 = 21(186)2
#
n: 2273893447359253094703804889025996142648154377930036591544098632557659095320611747011349723809871621530006681046495003124080186464019189836219352817048690737444180869364687504919
m: 10000000000000000000000000000000000000
deg: 5
c5: 475
c0: 2
skew: 0.33
# Murphy_E = 5.851e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 10300000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3543020 hash collisions in 31893813 relations (30321174 unique)
Msieve: matrix is 1033725 x 1033950 (355.1 MB)

Sieving start time : 2022/04/18 07:50:42
Sieving end time  : 2022/04/18 11:05:48

Total sieving time: 3hrs 15min 6secs.

Total relation processing time: 0hrs 17min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 33sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 17, 2022 16:31:09 UTC 2022 年 4 月 18 日 (月) 1 時 31 分 9 秒 (日本時間)

19×10188+89

c178

name 名前Bob Backstrom
date 日付April 17, 2022 17:54:46 UTC 2022 年 4 月 18 日 (月) 2 時 54 分 46 秒 (日本時間)
composite number 合成数
4616465994710511304386844381483048019769662982659023448000517122097915816422846307549556758153188784303780903246664393016928126017530273408626605761643627366918433943495669412569<178>
prime factors 素因数
35575374854931432694218906886141318519<38>
129765772350549951605830359932270855178998091997124320755136655721385902633274719162564370573662192774766435185332296646264446821115387579951<141>
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 4616465994710511304386844381483048019769662982659023448000517122097915816422846307549556758153188784303780903246664393016928126017530273408626605761643627366918433943495669412569 (178 digits)
Using B1=12600000, B2=35135015380, polynomial Dickson(12), sigma=1:2939300581
Step 1 took 35267ms
Step 2 took 12938ms
********** Factor found in step 2: 35575374854931432694218906886141318519
Found prime factor of 38 digits: 35575374854931432694218906886141318519
Prime cofactor 129765772350549951605830359932270855178998091997124320755136655721385902633274719162564370573662192774766435185332296646264446821115387579951 has 141 digits

ECM

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

19×10189+89

c128

name 名前Ignacio Santos
date 日付April 14, 2022 18:56:37 UTC 2022 年 4 月 15 日 (金) 3 時 56 分 37 秒 (日本時間)
composite number 合成数
43229192203831073298479563937987200007976665836352134373301897179491605520861520049555016267880903027934134851602160738249983161<128>
prime factors 素因数
64605262212076688631020988110494858130911577843<47>
669128035761616680758550386475185389864419030065633478946777811393999295985649827<81>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:500498801
Step 1 took 4766ms
********** Factor found in step 1: 64605262212076688631020988110494858130911577843
Found prime factor of 47 digits: 64605262212076688631020988110494858130911577843
Prime cofactor 669128035761616680758550386475185389864419030065633478946777811393999295985649827 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 JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)

19×10190+89

c178

name 名前Bob Backstrom
date 日付April 21, 2022 02:05:21 UTC 2022 年 4 月 21 日 (木) 11 時 5 分 21 秒 (日本時間)
composite number 合成数
5468584273916237057827895818515764784846834866909084111868526501661268819873878346168918331835332754922027089591130796754185403460687634240809585945919344341691033046578677048849<178>
prime factors 素因数
1111710958779774074429272932566749488907847<43>
4919070222999883057404894991770549570381585353897674004267912482398299422388547819794852050569414292199018658288430956340687211688027367<136>
factorization results 素因数分解の結果
Number: n
N=5468584273916237057827895818515764784846834866909084111868526501661268819873878346168918331835332754922027089591130796754185403460687634240809585945919344341691033046578677048849  ( 178 digits)
SNFS difficulty: 191 digits.
Divisors found:

Thu Apr 21 12:01:09 2022  p43 factor: 1111710958779774074429272932566749488907847
Thu Apr 21 12:01:09 2022  p136 factor: 4919070222999883057404894991770549570381585353897674004267912482398299422388547819794852050569414292199018658288430956340687211688027367
Thu Apr 21 12:01:09 2022  elapsed time 00:28:24 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 19x10^190+8 = 21(189)2
#
n: 5468584273916237057827895818515764784846834866909084111868526501661268819873878346168918331835332754922027089591130796754185403460687634240809585945919344341691033046578677048849
m: 100000000000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 4.916e-11
type: snfs
lss: 1
rlim: 10800000
alim: 10800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10800000/10800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3323345 hash collisions in 30837350 relations (29422966 unique)
Msieve: matrix is 1061988 x 1062214 (365.3 MB)

Sieving start time : 2022/04/21 07:39:32
Sieving end time  : 2022/04/21 11:31:52

Total sieving time: 3hrs 52min 20secs.
Total relation processing time: 0hrs 18min 16sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 9sec.

Prototype def-par.txt line would be:
snfs,191,5,0,0,0,0,0,0,0,0,10800000,10800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10193+89

c182

name 名前Bob Backstrom
date 日付April 20, 2022 07:26:38 UTC 2022 年 4 月 20 日 (水) 16 時 26 分 38 秒 (日本時間)
composite number 合成数
70960360834826923045226319080473865118487259433440769948009026616813035575604029505874687032883652073680737873885534155949635554378480507099526880583358779608926880765626217937163287<182>
prime factors 素因数
9748705799959199133966743438507703312296646330057642793613231308565756076338300682302173<88>
7278951923559321134454788665114608829021972633037116351924047133660659065347541645835091014019<94>
factorization results 素因数分解の結果
Number: n
N=70960360834826923045226319080473865118487259433440769948009026616813035575604029505874687032883652073680737873885534155949635554378480507099526880583358779608926880765626217937163287  ( 182 digits)
SNFS difficulty: 193 digits.
Divisors found:

Wed Apr 20 17:14:41 2022  p88 factor: 9748705799959199133966743438507703312296646330057642793613231308565756076338300682302173
Wed Apr 20 17:14:41 2022  p94 factor: 7278951923559321134454788665114608829021972633037116351924047133660659065347541645835091014019
Wed Apr 20 17:14:41 2022  elapsed time 00:35:52 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 19x10^193+8 = 21(192)2
#
n: 70960360834826923045226319080473865118487259433440769948009026616813035575604029505874687032883652073680737873885534155949635554378480507099526880583358779608926880765626217937163287
m: 100000000000000000000000000000000000000
deg: 5
c5: 2375
c0: 1
skew: 0.21
# Murphy_E = 3.675e-11
type: snfs
lss: 1
rlim: 11700000
alim: 11700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11700000/11700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18650000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3265825 hash collisions in 30620158 relations (29255343 unique)
Msieve: matrix is 1233825 x 1234051 (430.2 MB)

Sieving start time : 2022/04/20 10:20:51
Sieving end time  : 2022/04/20 16:37:43

Total sieving time: 6hrs 16min 52secs.
Total relation processing time: 0hrs 26min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 34sec.

Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,11700000,11700000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10195+89

c172

name 名前Bob Backstrom
date 日付April 23, 2022 17:59:12 UTC 2022 年 4 月 24 日 (日) 2 時 59 分 12 秒 (日本時間)
composite number 合成数
1226149016877615972633272989920220456743075890672730780769733816980675466282803820641349872622264197848576079370967041608353268759345693694231450847947350855174309340760239<172>
prime factors 素因数
4004518350553683530826812658207165606801816474082923909630213531692861<70>
306191384216801714970631866067189269013068434348397143876341251935958781523309308809649519235776747099<102>
factorization results 素因数分解の結果
Number: n
N=1226149016877615972633272989920220456743075890672730780769733816980675466282803820641349872622264197848576079370967041608353268759345693694231450847947350855174309340760239  ( 172 digits)
SNFS difficulty: 196 digits.
Divisors found:

Sun Apr 24 03:54:45 2022  p70 factor: 4004518350553683530826812658207165606801816474082923909630213531692861
Sun Apr 24 03:54:45 2022  p102 factor: 306191384216801714970631866067189269013068434348397143876341251935958781523309308809649519235776747099
Sun Apr 24 03:54:45 2022  elapsed time 00:42:39 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 19x10^195+8 = 21(194)2
#
n: 1226149016877615972633272989920220456743075890672730780769733816980675466282803820641349872622264197848576079370967041608353268759345693694231450847947350855174309340760239
m: 1000000000000000000000000000000000000000
deg: 5
c5: 19
c0: 8
skew: 0.84
# Murphy_E = 3.05e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3482050 hash collisions in 30924210 relations (29314718 unique)
Msieve: matrix is 1349192 x 1349417 (468.4 MB)

Sieving start time : 2022/04/23 22:15:03
Sieving end time  : 2022/04/24 03:11:14

Total sieving time: 4hrs 56min 11secs.

Total relation processing time: 0hrs 32min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 33sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.153503] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.36 BogoMIPS (lpj=12798732)
[    0.152038] smpboot: Total of 16 processors activated (102389.85 BogoMIPS)

ECM

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

19×10197+89

c110

name 名前Ignacio Santos
date 日付April 14, 2022 17:45:50 UTC 2022 年 4 月 15 日 (金) 2 時 45 分 50 秒 (日本時間)
composite number 合成数
12217268957955219352513597280755525413006937483042531861048747802905435512136624314122485308185225353386250507<110>
prime factors 素因数
31536364019951296621660925351259522889<38>
387402585479608094884102188920800530553529009694663739554918238617776563<72>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:285592697
Step 1 took 3594ms
Step 2 took 2578ms
********** Factor found in step 2: 31536364019951296621660925351259522889
Found prime factor of 38 digits: 31536364019951296621660925351259522889
Prime cofactor 387402585479608094884102188920800530553529009694663739554918238617776563 has 72 digits
 
software ソフトウェア
GMP-ECM

ECM

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

19×10199+89

c180

name 名前Bob Backstrom
date 日付September 2, 2022 07:51:50 UTC 2022 年 9 月 2 日 (金) 16 時 51 分 50 秒 (日本時間)
composite number 合成数
353196829650938180913182509637027809817277137226472229912055073523816057681801599386600319822150164155723237535860707437105499963472232745394725701159944291680781481715731485509219<180>
prime factors 素因数
29278536830069581777501838035370729957279058663058651079546210025473<68>
12063336077921718759136457335785238344359231790305916011865040986675985679592649240893589221753429410698333013603<113>
factorization results 素因数分解の結果
Number: n
N=353196829650938180913182509637027809817277137226472229912055073523816057681801599386600319822150164155723237535860707437105499963472232745394725701159944291680781481715731485509219  ( 180 digits)
SNFS difficulty: 200 digits.
Divisors found:

Fri Sep  2 17:46:49 2022  p68 factor: 29278536830069581777501838035370729957279058663058651079546210025473
Fri Sep  2 17:46:49 2022  p113 factor: 12063336077921718759136457335785238344359231790305916011865040986675985679592649240893589221753429410698333013603
Fri Sep  2 17:46:49 2022  elapsed time 01:06:30 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.324).
Factorization parameters were as follows:
#
# N = 19x10^199+8 = 21(198)2
#
n: 353196829650938180913182509637027809817277137226472229912055073523816057681801599386600319822150164155723237535860707437105499963472232745394725701159944291680781481715731485509219
m: 5000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 5
skew: 0.67
# Murphy_E = 1.997e-11
type: snfs
lss: 1
rlim: 12100000
alim: 12100000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 12100000/12100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 18850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3315759 hash collisions in 27882992 relations (26141921 unique)
Msieve: matrix is 1630542 x 1630767 (571.1 MB)

Sieving start time : 2022/09/02 11:12:06
Sieving end time  : 2022/09/02 16:39:49

Total sieving time: 5hrs 27min 43secs.

Total relation processing time: 0hrs 52min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 20sec.

Prototype def-par.txt line would be:
snfs,200,5,0,0,0,0,0,0,0,0,12100000,12100000,28,28,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaApril 25, 2022 12:31:07 UTC 2022 年 4 月 25 日 (月) 21 時 31 分 7 秒 (日本時間)

19×10201+89

c154

name 名前Jason Parker-Burlingham
date 日付May 21, 2024 22:34:53 UTC 2024 年 5 月 22 日 (水) 7 時 34 分 53 秒 (日本時間)
composite number 合成数
1179458787518443991594770208419986727151771235734047114682158318022750054389589781502406208392352469401639819181908194546218344604368714283208521037674621<154>
prime factors 素因数
21142968983370609946672860937436213141894211599107901594220340359318770551<74>
55784917834676537120231881293743087641761286833999206911405713232142407865190571<80>
factorization results 素因数分解の結果
PID384401 2024-05-21 15:36:39,466 Info:Square Root: Factors: 55784917834676537120231881293743087641761286833999206911405713232142407865190571 21142968983370609946672860937436213141894211599107901594220340359318770551
PID384401 2024-05-21 15:36:39,466 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID384401 2024-05-21 15:36:39,466 Info:Complete Factorization / Discrete logarithm: Square Root
PID384401 2024-05-21 15:36:39,466 Info:Square Root: Total cpu/real time for sqrt: 2187.26/149.403
PID384401 2024-05-21 15:36:39,466 Info:HTTP server: Got notification to stop serving Workunits
PID384401 2024-05-21 15:36:39,466 Info:Linear Algebra: Total cpu/real time for bwc: 162694/7621.49
PID384401 2024-05-21 15:36:39,466 Info:Linear Algebra: Aggregate statistics:
PID384401 2024-05-21 15:36:39,466 Info:Linear Algebra: Krylov: CPU time 100215.53, WCT time 4624.98, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (68000 iterations)
PID384401 2024-05-21 15:36:39,466 Info:Linear Algebra: Lingen CPU time 303.16, WCT time 51.62
PID384401 2024-05-21 15:36:39,466 Info:Linear Algebra: Mksol: CPU time 52010.3,  WCT time 2452.31, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (36000 iterations)
PID384401 2024-05-21 15:36:39,466 Info:Filtering - Singleton removal: Total cpu/real time for purge: 832.53/108.129
PID384401 2024-05-21 15:36:39,466 Info:Square Root: Total cpu/real time for sqrt: 2187.26/149.403
PID384401 2024-05-21 15:36:39,467 Info:Lattice Sieving: Aggregate statistics:
PID384401 2024-05-21 15:36:39,467 Info:Lattice Sieving: Total number of relations: 43272307
PID384401 2024-05-21 15:36:39,467 Info:Lattice Sieving: , max bucket fill -bkmult 1.0,1l:1.259750,1s:1.500000,2s:1.100000
PID384401 2024-05-21 15:36:39,467 Info:Lattice Sieving: Total time: 730909s
PID384401 2024-05-21 15:36:39,467 Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
PID384401 2024-05-21 15:36:39,467 Debug:Lattice Sieving: KeyError with "Average J: {stats_avg_J[0]:g} for {stats_avg_J[1]:d} special-q"
PID384401 2024-05-21 15:36:39,467 Debug:Lattice Sieving: (registered stats: {'stats_max_bucket_fill': ['1.0,1l:1.259750,1s:1.500000,2s:1.100000'], 'stats_total_cpu_time': [1402405.9999999958], 'stats_total_time': [730908.5100000015]})
PID384401 2024-05-21 15:36:39,467 Info:Quadratic Characters: Total cpu/real time for characters: 72.08/14.9908
PID384401 2024-05-21 15:36:39,467 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 199.29/104.771
PID384401 2024-05-21 15:36:39,467 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID384401 2024-05-21 15:36:39,467 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 104.6s
PID384401 2024-05-21 15:36:39,467 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 615.86/172.703
PID384401 2024-05-21 15:36:39,468 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID384401 2024-05-21 15:36:39,468 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 147.6s
PID384401 2024-05-21 15:36:39,468 Info:Generate Factor Base: Total cpu/real time for makefb: 5.81/0.731516
PID384401 2024-05-21 15:36:39,468 Info:Generate Free Relations: Total cpu/real time for freerel: 174.22/17.0667
PID384401 2024-05-21 15:36:39,468 Info:Filtering - Merging: Total cpu/real time for merge: 1595.27/71.5959
PID384401 2024-05-21 15:36:39,468 Info:Filtering - Merging: Total cpu/real time for replay: 78.82/63.4909
PID384401 2024-05-21 15:36:39,472 Info:HTTP server: Shutting down HTTP server
PID384401 2024-05-21 15:36:39,566 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.57086e+06/54323.1 [15:05:23]

===> 21112_201.poly
n: 1179458787518443991594770208419986727151771235734047114682158318022750054389589781502406208392352469401639819181908194546218344604368714283208521037674621
poly0: 10000000000000000000000000000000000000000,-1
poly1: 4, 0, 0, 0, 0, 95
skew: 0.53
# Murphy_E = 1.371e-11

===> 21112_201.params
tasks.lim0 = 16300000
tasks.lim1 = 16300000
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.A = 26
tasks.sieve.las.threads = 2
tasks.qmin = 16300000
software ソフトウェア
CADO-NFS 3.0.0-dev, git commit 3c2f856c8
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 80GB of *working* RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62100ebinaApril 14, 2022 23:47:31 UTC 2022 年 4 月 15 日 (金) 8 時 47 分 31 秒 (日本時間)
4511e64480Ignacio SantosOctober 21, 2023 14:47:23 UTC 2023 年 10 月 21 日 (土) 23 時 47 分 23 秒 (日本時間)

19×10202+89

c179

name 名前Bob Backstrom
date 日付July 25, 2023 09:17:22 UTC 2023 年 7 月 25 日 (火) 18 時 17 分 22 秒 (日本時間)
composite number 合成数
31530944700068408781553826721750697419207591168008052457022829007775995079313259542176748048448009546572273730585007013700267875760773571832694256678090474099180188500897532757883<179>
prime factors 素因数
1079481273166105342637133235141175960503058055074546401933555697417389<70>
29209348493456060114385028699313544615019444859010402095056418637460400404587755857594073957480439139262165447<110>
factorization results 素因数分解の結果
Number: n
N=31530944700068408781553826721750697419207591168008052457022829007775995079313259542176748048448009546572273730585007013700267875760773571832694256678090474099180188500897532757883  ( 179 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Jul 25 07:31:56 2023  prp70 factor: 1079481273166105342637133235141175960503058055074546401933555697417389
Tue Jul 25 07:31:56 2023  prp110 factor: 29209348493456060114385028699313544615019444859010402095056418637460400404587755857594073957480439139262165447
Tue Jul 25 07:31:56 2023  elapsed time 02:01:48 (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 = 19x10^202+8 = 21(201)2
#
n: 31530944700068408781553826721750697419207591168008052457022829007775995079313259542176748048448009546572273730585007013700267875760773571832694256678090474099180188500897532757883
m: 10000000000000000000000000000000000000000
deg: 5
c5: 475
c0: 2
skew: 0.33
# Murphy_E = 1.395e-11
type: snfs
lss: 1
rlim: 16700000
alim: 16700000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16700000/16700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 26750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2739460 hash collisions in 17351978 relations (15451188 unique)
Msieve: matrix is 1958716 x 1958942 (554.7 MB)

Sieving start time: 2023/07/24 20:13:21
Sieving end time  : 2023/07/25 05:29:44

Total sieving time: 9hrs 16min 23secs.

Total relation processing time: 1hrs 52min 26sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 46sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16700000,16700000,27,27,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62100ebinaApril 15, 2022 03:27:27 UTC 2022 年 4 月 15 日 (金) 12 時 27 分 27 秒 (日本時間)

19×10204+89

c197

name 名前Bob Backstrom
date 日付September 20, 2023 19:11:13 UTC 2023 年 9 月 21 日 (木) 4 時 11 分 13 秒 (日本時間)
composite number 合成数
14619989147228098380597049700963973139577294931552627273299816685034605452753639867906458982549340878257282027303848514850101620620564553066223853973061460384498573861610236001651252365814338535581<197>
prime factors 素因数
33955769950935999467496943036048494822310409028103996750210778866325140476031512672408827<89>
430559789053615456224318939666462949032751355028712259921522697756550436175426051016248592786680422073343303<108>
factorization results 素因数分解の結果
Number: n
N=14619989147228098380597049700963973139577294931552627273299816685034605452753639867906458982549340878257282027303848514850101620620564553066223853973061460384498573861610236001651252365814338535581  ( 197 digits)
SNFS difficulty: 205 digits.
Divisors found:

Thu Sep 21 05:01:58 2023  prp89 factor: 33955769950935999467496943036048494822310409028103996750210778866325140476031512672408827
Thu Sep 21 05:01:58 2023  prp108 factor: 430559789053615456224318939666462949032751355028712259921522697756550436175426051016248592786680422073343303
Thu Sep 21 05:01:58 2023  elapsed time 02:15:20 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.114).
Factorization parameters were as follows:
#
# N = 19x10^204+8 = 21(203)2
#
n: 14619989147228098380597049700963973139577294931552627273299816685034605452753639867906458982549340878257282027303848514850101620620564553066223853973061460384498573861610236001651252365814338535581
m: 50000000000000000000000000000000000000000
deg: 5
c5: 38
c0: 5
skew: 0.67
# Murphy_E = 1.23e-11
type: snfs
lss: 1
rlim: 18300000
alim: 18300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18300000/18300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2804473 hash collisions in 18500923 relations (16229480 unique)
Msieve: matrix is 2033852 x 2034077 (575.4 MB)

Sieving start time: 2023/09/20 13:41:37
Sieving end time  : 2023/09/21 02:46:15

Total sieving time: 13hrs 4min 38secs.

Total relation processing time: 2hrs 7min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62100ebinaApril 15, 2022 08:26:38 UTC 2022 年 4 月 15 日 (金) 17 時 26 分 38 秒 (日本時間)

19×10206+89

c189

name 名前Ignacio Santos
date 日付September 13, 2023 07:25:32 UTC 2023 年 9 月 13 日 (水) 16 時 25 分 32 秒 (日本時間)
composite number 合成数
534700874234848709046581386658583949145593433375539474506993748578502061167051791823777219988287103224389817104059505446264061599535645795636082232834651618560898870017465356288621741298387<189>
prime factors 素因数
8027680634853163086980430489858952277<37>
66607143277895122237951320383039298591053326762861908959869136499332171019042443043754612758844038084215666069332773272467741736439679282805348215671431<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1449721952
Step 1 took 7359ms
Step 2 took 3516ms
********** Factor found in step 2: 8027680634853163086980430489858952277
Found prime factor of 37 digits: 8027680634853163086980430489858952277
Prime cofactor 66607143277895122237951320383039298591053326762861908959869136499332171019042443043754612758844038084215666069332773272467741736439679282805348215671431 has 152 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovMay 30, 2022 20:14:09 UTC 2022 年 5 月 31 日 (火) 5 時 14 分 9 秒 (日本時間)

19×10207+89

c170

composite cofactor 合成数の残り
37581007866213575937107685540301267381591494005964848575869046741853311616719775583731280001810952189056606394122849084309214374038123023818157111157753054302109077935469<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:17:58 UTC 2022 年 5 月 18 日 (水) 19 時 17 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 07:25:56 UTC 2023 年 9 月 13 日 (水) 16 時 25 分 56 秒 (日本時間)

19×10209+89

c189

composite cofactor 合成数の残り
470907116459212570107364551650652238863199376305931819692632186733667802816800670984382854184816224509270170400554128591536955435631268394600318950678476910135530568332368480054565807611539<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:14:41 UTC 2022 年 5 月 31 日 (火) 5 時 14 分 41 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 07:26:18 UTC 2023 年 9 月 13 日 (水) 16 時 26 分 18 秒 (日本時間)

19×10210+89

c165

composite cofactor 合成数の残り
831069425702508937912186266642272573182844434499902704786321302053343977516447752140158508153121029265197940710351376328639383094182369616763367080594744408941772291<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:18:08 UTC 2022 年 5 月 18 日 (水) 19 時 18 分 8 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 07:35:26 UTC 2023 年 9 月 13 日 (水) 16 時 35 分 26 秒 (日本時間)

19×10211+89

c119

name 名前Eric Jeancolas
date 日付April 15, 2022 13:59:27 UTC 2022 年 4 月 15 日 (金) 22 時 59 分 27 秒 (日本時間)
composite number 合成数
12515082616494204691328859832497646897870513146452143819167582692423301617949808044382024627552336902225220283797361009<119>
prime factors 素因数
1162138112839162175220058930874313601867427251951<49>
10769014868567751394116905563806701864778147805225496225481370069740959<71>
factorization results 素因数分解の結果
12515082616494204691328859832497646897870513146452143819167582692423301617949808044382024627552336902225220283797361009=1162138112839162175220058930874313601867427251951*10769014868567751394116905563806701864778147805225496225481370069740959

cado polynomial
n: 12515082616494204691328859832497646897870513146452143819167582692423301617949808044382024627552336902225220283797361009
skew: 87711.958
c0: 1490215167861316653638205600
c1: 523821412212594072124492
c2: 11032370898323508399
c3: -222341620992043
c4: -885256530
c5: 2520
Y0: -125748015764259155782563
Y1: 18067758241768343
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.768e-06
# f(x) = 2520*x^5-885256530*x^4-222341620992043*x^3+11032370898323508399*x^2+523821412212594072124492*x+1490215167861316653638205600
# g(x) = 18067758241768343*x-125748015764259155782563

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: 10769014868567751394116905563806701864778147805225496225481370069740959 1162138112839162175220058930874313601867427251951
Info:Square Root: Total cpu/real time for sqrt: 149.62/44.8161
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 132.99/113.114
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.08/59.5854
Info:Generate Free Relations: Total cpu/real time for freerel: 127.14/33.2031
Info:Linear Algebra: Total cpu/real time for bwc: 3308.02/860.05
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1989.6, WCT time 514.59, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (18432 iterations)
Info:Linear Algebra: Lingen CPU time 100.12, WCT time 25.41
Info:Linear Algebra: Mksol: CPU time 1160.79,  WCT time 299.59, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9216 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13424626
Info:Lattice Sieving: Average J: 1901.95 for 208228 special-q, max bucket fill -bkmult 1.0,1s:1.261680
Info:Lattice Sieving: Total time: 26256.8s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.37433
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1003.07
Info:Polynomial Selection (root optimized): Rootsieve time: 1000.63
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.76/57.0421
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 56.9s
Info:Filtering - Merging: Merged matrix has 586524 rows and total weight 59431151 (101.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.8/14.5022
Info:Filtering - Merging: Total cpu/real time for replay: 14.13/11.1559
Info:Quadratic Characters: Total cpu/real time for characters: 17.88/6.90291
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): 20295/34.930/42.167/46.770/1.035
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15970/33.540/37.285/42.620/0.808
Info:Polynomial Selection (size optimized): Total time: 2282.12
Info:Square Root: Total cpu/real time for sqrt: 149.62/44.8161
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 55694.5/15414.7
Info:root: Cleaning up computation data in /tmp/cado.mfxl2q5e
10769014868567751394116905563806701864778147805225496225481370069740959 1162138112839162175220058930874313601867427251951
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

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

19×10212+89

c187

name 名前Ignacio Santos
date 日付September 13, 2023 07:42:34 UTC 2023 年 9 月 13 日 (水) 16 時 42 分 34 秒 (日本時間)
composite number 合成数
5638436312269884024104053526917807486597032950998222886369662669386439474031465702962339848015733889279880416216863577158559890665162983370374464106723962057269727970524821398435165499523<187>
prime factors 素因数
858928004000036255547313615161197047562105227<45>
composite cofactor 合成数の残り
6564503993363390238722420004898187977358165843480106949824874816982536987690134774985979449935048720136568685801800017403420635559263563574249<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2434095073
Step 1 took 7454ms
Step 2 took 3546ms
********** Factor found in step 2: 858928004000036255547313615161197047562105227
Found prime factor of 45 digits: 858928004000036255547313615161197047562105227
Composite cofactor 6564503993363390238722420004898187977358165843480106949824874816982536987690134774985979449935048720136568685801800017403420635559263563574249 has 142 digits
 
software ソフトウェア
GMP-ECM

c142

name 名前Eric Jeancolas
date 日付December 12, 2023 10:54:02 UTC 2023 年 12 月 12 日 (火) 19 時 54 分 2 秒 (日本時間)
composite number 合成数
6564503993363390238722420004898187977358165843480106949824874816982536987690134774985979449935048720136568685801800017403420635559263563574249<142>
prime factors 素因数
196483277452259887240499371571406126294950772685976349736329823<63>
33409988262020857452588494035160745150473468213294788947046009540757961594119863<80>
factorization results 素因数分解の結果
6564503993363390238722420004898187977358165843480106949824874816982536987690134774985979449935048720136568685801800017403420635559263563574249=196483277452259887240499371571406126294950772685976349736329823*33409988262020857452588494035160745150473468213294788947046009540757961594119863

cado polynomial
n: 6564503993363390238722420004898187977358165843480106949824874816982536987690134774985979449935048720136568685801800017403420635559263563574249
skew: 145974.391
c0: 5734345402279039342940938548855
c1: 15303773316854745171481446
c2: -8255149569826217420858
c3: 114012587134316
c4: 176891458305
c5: 224640
Y0: -2249054698514029452743768312
Y1: 1527274418873054511389
# MurphyE = 2.155e-07
# f(x) = 224640*x^5+176891458305*x^4+114012587134316*x^3-8255149569826217420858*x^2+15303773316854745171481446*x+5734345402279039342940938548855
# g(x) = 1527274418873054511389*x-2249054698514029452743768312

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: 33409988262020857452588494035160745150473468213294788947046009540757961594119863 196483277452259887240499371571406126294950772685976349736329823
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2777.44/143.085
Info:HTTP server: Got notification to stop serving Workunits
Info:Generate Free Relations: Total cpu/real time for freerel: 226.51/94.0288
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 627.35/416.148
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 286.7s
Info:Linear Algebra: Total cpu/real time for bwc: 59407.3/7475.92
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 38421.12, WCT time 4892.77, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (66560 iterations)
Info:Linear Algebra: Lingen CPU time 375.81, WCT time 24.4
Info:Linear Algebra: Mksol: CPU time 20046.39,  WCT time 2486.67, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.03, comm-wait 0.0 (33280 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7643.27
Info:Polynomial Selection (root optimized): Rootsieve time: 7641.09
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34935185
Info:Lattice Sieving: Average J: 3800.01 for 1238993 special-q, max bucket fill -bkmult 1.0,1s:1.182250
Info:Lattice Sieving: Total time: 396465s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 69931.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 48215/43.010/51.057/55.840/0.926
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 39477/41.650/45.687/51.780/1.132
Info:Polynomial Selection (size optimized): Total time: 16926.7
Info:Square Root: Total cpu/real time for sqrt: 2777.44/143.085
Info:Generate Factor Base: Total cpu/real time for makefb: 4.94/4.22671
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 147.73/120.472
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 119.70000000000002s
Info:Quadratic Characters: Total cpu/real time for characters: 57.49/11.7214
Info:Filtering - Singleton removal: Total cpu/real time for purge: 419.46/296.207
Info:Filtering - Merging: Merged matrix has 2113339 rows and total weight 360088350 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 623.58/46.6524
Info:Filtering - Merging: Total cpu/real time for replay: 55.57/48.3905
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 771199/43386.2
Info:root: Cleaning up computation data in /tmp/cado.z2ex9_g5
33409988262020857452588494035160745150473468213294788947046009540757961594119863 196483277452259887240499371571406126294950772685976349736329823
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)]
13th Gen Intel(R) Core(TM) i7-13700KF (24 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:14:51 UTC 2022 年 5 月 31 日 (火) 5 時 14 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:25:50 UTC 2023 年 9 月 19 日 (火) 15 時 25 分 50 秒 (日本時間)
4511e64480Ignacio SantosSeptember 24, 2023 07:41:29 UTC 2023 年 9 月 24 日 (日) 16 時 41 分 29 秒 (日本時間)
5043e66454Ignacio SantosOctober 1, 2023 06:22:17 UTC 2023 年 10 月 1 日 (日) 15 時 22 分 17 秒 (日本時間)

19×10213+89

c103

name 名前Ignacio Santos
date 日付April 14, 2022 15:49:46 UTC 2022 年 4 月 15 日 (金) 0 時 49 分 46 秒 (日本時間)
composite number 合成数
6792463012768980017428266486757663341200974786695514667616105293749263453305448687698070995549901524467<103>
prime factors 素因数
4320778156303845140015616867968443570018848563789<49>
1572046230343727328003658323030782893083361161207107903<55>
factorization results 素因数分解の結果
prp49 = 4320778156303845140015616867968443570018848563789
prp55 = 1572046230343727328003658323030782893083361161207107903
software ソフトウェア
Yafu

ECM

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

19×10214+89

c198

composite cofactor 合成数の残り
165821185502266453157032732882133958967507935235645539844656440406180624254589277176500376815028262023695779148089422587444455040883299535244133011869559726422988164550429437241743988419576942519749<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:15:11 UTC 2022 年 5 月 31 日 (火) 5 時 15 分 11 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 07:52:54 UTC 2023 年 9 月 13 日 (水) 16 時 52 分 54 秒 (日本時間)

19×10216+89

c175

name 名前Ignacio Santos
date 日付September 13, 2023 08:25:04 UTC 2023 年 9 月 13 日 (水) 17 時 25 分 4 秒 (日本時間)
composite number 合成数
1005092521941830128572121362817246945739060610388472473658809038762226347526560401849286316312716329392528038727888425666848869988785683428621491138480775900547717333454053323<175>
prime factors 素因数
188476156206183250893562678361060153655793<42>
composite cofactor 合成数の残り
5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:31830487
Step 1 took 4500ms
********** Factor found in step 2: 188476156206183250893562678361060153655793
Found prime factor of 42 digits: 188476156206183250893562678361060153655793
Composite cofactor 5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211 has 133 digits
 
software ソフトウェア
GMP-ECM

c133

name 名前Bob Backstrom
date 日付September 22, 2023 00:27:17 UTC 2023 年 9 月 22 日 (金) 9 時 27 分 17 秒 (日本時間)
composite number 合成数
5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211<133>
prime factors 素因数
7178165506267619306043554843397145648699817268125038258645888303<64>
742909920906597272539160456463496783557373775419708921921778388850037<69>
factorization results 素因数分解の結果
#
# N = 19x10^216+8 = 21(215)2
#
# N = 23 × 3 × 22549 × 12714993509<11> × 4065585674827<13> × 75080518152083<14> × 188476156206183250893562678361060153655793<42> ×
#  [5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211<133>]
#  (Ignacio Santos / GMP-ECM B1=3000000 for P42 / September 13, 2023 ) Free to factor
#

CADO:

STA:Fri 22 Sep 2023 02:05:45 AEST (5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211 - C133)

cado-nfs.py -t 16 --no-colors workdir=/home/bob/tmpg 5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211 2>&1 | tee -a log-g4

Info:root: Using default parameter file ./parameters/factor/params.c135
Info:root: No database exists yet 
Info:Database: Opened connection to database /home/bob/tmpg/c135.db
Info:root: Set tasks.threads=16 based on --server-threads 16
Info:root: tasks.threads = 16 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 16 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Math/cado-nfs/build/LINUX-7
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors workdir=/home/bob/tmpg 5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /home/bob/tmpg/c135.parameters_snapshot.0
Info:Server Launcher: Adding LINUX-7 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,LINUX-7
Info:Lattice Sieving: param rels_wanted is 0
Info:Complete Factorization / Discrete logarithm: Factoring 5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211
===
n: 5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211
skew: 168388.966
c0: -14941698815772500103559071108360
c1: -106798401689377538692640979
c2: 1069747823686808233668
c3: 415455828404809
c4: -25491466633
c5: 123300
Y0: -33793151005134105076796869
Y1: 3046850671376993987
# MurphyE (Bf=2.684e+08,Bg=1.342e+08,area=3.578e+14) = 1.413e-07
# f(x) = 123300*x^5-25491466633*x^4+415455828404809*x^3+1069747823686808233668*x^2-106798401689377538692640979*x-14941698815772500103559071108360
# g(x) = 3046850671376993987*x-33793151005134105076796869
===
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 742909920906597272539160456463496783557373775419708921921778388850037 7178165506267619306043554843397145648699817268125038258645888303
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 2338.1/169.54
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 233.22/158.106
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 138.0s
Info:Linear Algebra: Total cpu/real time for bwc: 38520.9/2671.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 24891.91, WCT time 1674.58, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (38912 iterations)
Info:Linear Algebra: Lingen CPU time 109.19, WCT time 69.7
Info:Linear Algebra: Mksol: CPU time 13160.65,  WCT time 884.9, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19456 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4735.11
Info:Polynomial Selection (root optimized): Rootsieve time: 4733.01
Info:Generate Free Relations: Total cpu/real time for freerel: 298.9/20.6421
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 57123.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 39523/39.350/47.697/53.000/0.983
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 32380/37.990/42.376/48.240/0.899
Info:Polynomial Selection (size optimized): Total time: 12030.8
Info:Generate Factor Base: Total cpu/real time for makefb: 20.58/2.62864
Info:Square Root: Total cpu/real time for sqrt: 2338.1/169.54
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 17030098
Info:Lattice Sieving: Average J: 3804.71 for 555200 special-q, max bucket fill -bkmult 1.0,1s:1.221640
Info:Lattice Sieving: Total time: 198722s
Info:Quadratic Characters: Total cpu/real time for characters: 43.08/10.0591
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 96.12/89.6871
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 124.94/73.7901
Info:Filtering - Merging: Total cpu/real time for merge: 578.42/46.1418
Info:Filtering - Merging: Total cpu/real time for replay: 38.79/31.2839
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 435699/29529.9 [08:12:10]
742909920906597272539160456463496783557373775419708921921778388850037 7178165506267619306043554843397145648699817268125038258645888303

END:Fri 22 Sep 2023 10:18:00 AEST (5332730368515741827060178400947183043388544487838118408642319061576828208270172091233081025637153254382146645376788192031970519417211 - C133)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:18:19 UTC 2022 年 5 月 18 日 (水) 19 時 18 分 19 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:26:35 UTC 2023 年 9 月 19 日 (火) 15 時 26 分 35 秒 (日本時間)
4511e64480Ignacio SantosSeptember 19, 2023 15:50:26 UTC 2023 年 9 月 20 日 (水) 0 時 50 分 26 秒 (日本時間)

19×10217+89

c200

composite cofactor 合成数の残り
52664272953747262588442323411837981535755167570940273513855488187314186570876269642271888997947684085589498989819062318779748392410121143291204617269123243908286214188598823121780883785866444655018401<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:15:21 UTC 2022 年 5 月 31 日 (火) 5 時 15 分 21 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 08:25:42 UTC 2023 年 9 月 13 日 (水) 17 時 25 分 42 秒 (日本時間)

19×10218+89

c204

name 名前Dmitry Domanov
date 日付August 8, 2023 19:31:20 UTC 2023 年 8 月 9 日 (水) 4 時 31 分 20 秒 (日本時間)
composite number 合成数
228031552283040235617971237731374913292662155532633799236392919392213080809638328888955699362533977735179482250961844097205618934930604130974723769863650830698397736051119761604226173333431641885562384931<204>
prime factors 素因数
4134141574879306515818255607642777384887<40>
composite cofactor 合成数の残り
55158138189715349430689518302548160553287540617662188582547572571341186377542544583874233555970295907429837101624721234243493218084720860264392143599835516145492213<164>
factorization results 素因数分解の結果
Resuming ECM residue saved by @dd0cac0d8578 with GMP-ECM 7.0.5-dev on Mon Aug  7 16:56:48 2023 
Input number is 228031552283040235617971237731374913292662155532633799236392919392213080809638328888955699362533977735179482250961844097205618934930604130974723769863650830698397736051119761604226173333431641885562384931 (204 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:484346560
Step 1 took 0ms
Step 2 took 4922ms
********** Factor found in step 2: 4134141574879306515818255607642777384887
Found prime factor of 40 digits: 4134141574879306515818255607642777384887
Composite cofactor 55158138189715349430689518302548160553287540617662188582547572571341186377542544583874233555970295907429837101624721234243493218084720860264392143599835516145492213 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:02:25 UTC 2023 年 8 月 8 日 (火) 1 時 2 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 08:26:05 UTC 2023 年 9 月 13 日 (水) 17 時 26 分 5 秒 (日本時間)

19×10219+89

c118

name 名前Eric Jeancolas
date 日付April 15, 2022 13:54:38 UTC 2022 年 4 月 15 日 (金) 22 時 54 分 38 秒 (日本時間)
composite number 合成数
4049091648919177371795383259701725473543522982373724456502923124013629891973848723496184966280591893287301722159996983<118>
prime factors 素因数
8538197831007030503750971616007913906141037884941062519<55>
474232587375128867263067453932168220356751643790839862789838657<63>
factorization results 素因数分解の結果
4049091648919177371795383259701725473543522982373724456502923124013629891973848723496184966280591893287301722159996983=8538197831007030503750971616007913906141037884941062519*474232587375128867263067453932168220356751643790839862789838657

cado polynomial
n: 4049091648919177371795383259701725473543522982373724456502923124013629891973848723496184966280591893287301722159996983
skew: 12841.968
c0: 269666356270627453223088024
c1: -73224066534928506543710
c2: -1612107343707273857
c3: 1053833270806155
c4: 5726379654
c5: 138600
Y0: -17850319925171757730171
Y1: 2251083521296423171
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.692e-06
# f(x) = 138600*x^5+5726379654*x^4+1053833270806155*x^3-1612107343707273857*x^2-73224066534928506543710*x+269666356270627453223088024
# g(x) = 2251083521296423171*x-17850319925171757730171

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: 474232587375128867263067453932168220356751643790839862789838657 8538197831007030503750971616007913906141037884941062519
Info:Square Root: Total cpu/real time for sqrt: 250.39/32.9175
Info:Generate Free Relations: Total cpu/real time for freerel: 168.29/15.3319
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): 20215/35.350/41.974/47.320/1.043
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15927/32.570/37.121/42.480/0.792
Info:Polynomial Selection (size optimized): Total time: 3855.08
Info:Generate Factor Base: Total cpu/real time for makefb: 6.03/0.665689
Info:Quadratic Characters: Total cpu/real time for characters: 18.59/4.16122
Info:Square Root: Total cpu/real time for sqrt: 250.39/32.9175
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.82/140.708
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.3s
Info:Linear Algebra: Total cpu/real time for bwc: 3384.11/616.35
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1994.69, WCT time 371.19, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (17920 iterations)
Info:Linear Algebra: Lingen CPU time 216.46, WCT time 19.25
Info:Linear Algebra: Mksol: CPU time 1123.27,  WCT time 211.85, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8960 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 95.6/95.4998
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13432523
Info:Lattice Sieving: Average J: 1897.91 for 207088 special-q, max bucket fill -bkmult 1.0,1s:1.235810
Info:Lattice Sieving: Total time: 48792.6s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1679.54
Info:Polynomial Selection (root optimized): Rootsieve time: 1675.83
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 99.69/89.1318
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 89.0s
Info:Filtering - Merging: Merged matrix has 566165 rows and total weight 57309139 (101.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 50.72/8.75229
Info:Filtering - Merging: Total cpu/real time for replay: 12.87/9.41753
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 100240/9837.7
Info:root: Cleaning up computation data in /tmp/cado.3t_b7i5s
474232587375128867263067453932168220356751643790839862789838657 8538197831007030503750971616007913906141037884941062519
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 17:47:42 UTC 2022 年 4 月 15 日 (金) 2 時 47 分 42 秒 (日本時間)

19×10220+89

c146

name 名前Erik Branger
date 日付August 20, 2023 11:10:12 UTC 2023 年 8 月 20 日 (日) 20 時 10 分 12 秒 (日本時間)
composite number 合成数
30348213343062821303303713061090453728327490228345529156498292601851067100206435000723450567746773532781932839938595480217319927567749912230904231<146>
prime factors 素因数
35437612468868990361923208284322556569734340236069739850775623<62>
856384254715887753182052681266997957690539218664996707679345374212601341238837665697<84>
factorization results 素因数分解の結果
Number: 21112_220
N = 30348213343062821303303713061090453728327490228345529156498292601851067100206435000723450567746773532781932839938595480217319927567749912230904231 (146 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=35437612468868990361923208284322556569734340236069739850775623 (pp62)
r2=856384254715887753182052681266997957690539218664996707679345374212601341238837665697 (pp84)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 18.13 hours.
Factorization parameters were as follows:
n: 30348213343062821303303713061090453728327490228345529156498292601851067100206435000723450567746773532781932839938595480217319927567749912230904231
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 19
c0: 8
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31990709
Relations: 6279458 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 6.91 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 5671666 x 5671891
Matrix solve time: 10.86 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 18.13 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22621-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 19:53:49 UTC 2022 年 4 月 15 日 (金) 4 時 53 分 49 秒 (日本時間)
4511e661241644Taiyo KodamaApril 16, 2022 07:10:13 UTC 2022 年 4 月 16 日 (土) 16 時 10 分 13 秒 (日本時間)
4480Ignacio SantosApril 17, 2022 13:57:08 UTC 2022 年 4 月 17 日 (日) 22 時 57 分 8 秒 (日本時間)
5043e66454Ignacio SantosMay 14, 2022 21:45:01 UTC 2022 年 5 月 15 日 (日) 6 時 45 分 1 秒 (日本時間)

19×10221+89

c146

name 名前ebina
date 日付July 4, 2022 20:54:34 UTC 2022 年 7 月 5 日 (火) 5 時 54 分 34 秒 (日本時間)
composite number 合成数
41321671553204345222161135545310136347864638785683505467756794436653596776242492242899942828821176123198223051865934343948111342100678570302112837<146>
prime factors 素因数
11646651602425140152086919614562907812163088047268969947239608487137<68>
3547944333167833659798544229497341315213456304933902822585439377169269542576101<79>
factorization results 素因数分解の結果
Number: 21112_221
N = 41321671553204345222161135545310136347864638785683505467756794436653596776242492242899942828821176123198223051865934343948111342100678570302112837 (146 digits)
Divisors found:
r1=11646651602425140152086919614562907812163088047268969947239608487137 (pp68)
r2=3547944333167833659798544229497341315213456304933902822585439377169269542576101 (pp79)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 48.09 hours.
Factorization parameters were as follows:
n: 41321671553204345222161135545310136347864638785683505467756794436653596776242492242899942828821176123198223051865934343948111342100678570302112837
# norm 4.614557e-14 alpha -6.660717 e 9.556e-12 rroots 5
skew: 12595298.30
c0: 20339643768905295281927916791655189351
c1: 10726520926872456120983917527973
c2: -2569540505477796208966635
c3: -137076346323224880
c4: 16150646489
c5: 372
Y0: -40656212600590003080464584460
Y1: 749961398911807
type: gnfs
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 41637120
Relations: 5806570 relations
Pruned matrix : 3388352 x 3388581
Polynomial selection time: 0.70 hours.
Total sieving time: 43.37 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 3.52 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,145,5,65,2000,1e-05,0.28,250,20,50000,3600,16800000,16800000,29,29,58,58,2.6,2.6,100000
total time: 48.09 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 20:08:53 UTC 2022 年 4 月 15 日 (金) 5 時 8 分 53 秒 (日本時間)
4511e661241644Taiyo KodamaApril 16, 2022 07:10:18 UTC 2022 年 4 月 16 日 (土) 16 時 10 分 18 秒 (日本時間)
4480Ignacio SantosApril 17, 2022 13:57:17 UTC 2022 年 4 月 17 日 (日) 22 時 57 分 17 秒 (日本時間)
5043e66454Ignacio SantosMay 7, 2022 13:18:07 UTC 2022 年 5 月 7 日 (土) 22 時 18 分 7 秒 (日本時間)

19×10222+89

c189

composite cofactor 合成数の残り
424715328108340185322129560927979442467423401238442955712074397292086533524013166039837364498772928197431187979591152426563584519528942978782462463588108693779374320420375152741800525498867<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:15:33 UTC 2022 年 5 月 31 日 (火) 5 時 15 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 08:26:28 UTC 2023 年 9 月 13 日 (水) 17 時 26 分 28 秒 (日本時間)

19×10223+89

c150

name 名前Bob Backstrom
date 日付March 28, 2024 20:56:52 UTC 2024 年 3 月 29 日 (金) 5 時 56 分 52 秒 (日本時間)
composite number 合成数
974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501<150>
prime factors 素因数
539822145266756492408495064060814003031076122629078575127820101589<66>
1805769495680802613924079171125123339620280720757092076320622108941021483592395358809<85>
factorization results 素因数分解の結果
CADO:

STA:Sun 24 Mar 2024 10:24:24 AEDT (974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501 - C150)

/home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501 2>&1 | tee -a log-54

Debug:root: Looking for parameter file for c150 in directory /home/vboxuser/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c150
Debug:Parameters: Reading parameter file /home/vboxuser/Math/cado-nfs/parameters/factor/params.c150
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.p25ej2xf
Info:Database: Opened connection to database /tmp/cado.p25ej2xf/c150.db
Info:root: Set tasks.threads=20 based on --server-threads 20
Info:root: tasks.threads = 20 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 20 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/vboxuser/Math/cado-nfs/build/Ubuntu
Info:root: Command line parameters: /home/vboxuser/Math/cado-nfs/cado-nfs.py -t 20 --no-colors --screenlog DEBUG 974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501
Debug:root: Root parameter dictionary:
N = 974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501
name = c150
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501
skew: 1018245.682
c0: 66228229208459661543666555363254841
c1: 393654877475607162014248558217
c2: -583640586338852537457435
c3: -404685484639446017
c4: 448718966994
c5: 88200
Y0: -126951178463239300840010259820
Y1: 137373735382131755923
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=4.027e+14) = 5.887e-07
# f(x) = 88200*x^5+448718966994*x^4-404685484639446017*x^3-583640586338852537457435*x^2+393654877475607162014248558217*x+66228229208459661543666555363254841
# g(x) = 137373735382131755923*x-126951178463239300840010259820
===
Debug:Command: Process with PID 887801 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 539822145266756492408495064060814003031076122629078575127820101589 1805769495680802613924079171125123339620280720757092076320622108941021483592395358809
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 8361.97/919.253
Info:HTTP server: Got notification to stop serving Workunits
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 21216.9
Info:Polynomial Selection (root optimized): Rootsieve time: 21214.9
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 163118667
Info:Lattice Sieving: Average J: 7900.92 for 798273 special-q, max bucket fill -bkmult 1.0,1s:1.254510
Info:Lattice Sieving: Total time: 3.55699e+06s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 161982
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 112627/46.020/56.410/68.970/2.609
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 95905/43.490/48.940/61.510/1.517
Info:Polynomial Selection (size optimized): Total time: 230132
Info:Square Root: Total cpu/real time for sqrt: 8361.97/919.253
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 4206.75/4598.58
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 3091.3s
Info:Quadratic Characters: Total cpu/real time for characters: 180.59/42.6761
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1955.61/328.369
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 2275.03/6141.59
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 6140.9s
Info:Filtering - Merging: Total cpu/real time for merge: 1164.07/215.227
Info:Filtering - Merging: Total cpu/real time for replay: 80.3/71.3696
Info:Generate Factor Base: Total cpu/real time for makefb: 27.91/18.4478
Info:Generate Free Relations: Total cpu/real time for freerel: 3034.94/238.985
Info:Linear Algebra: Total cpu/real time for bwc: 226667/32912.3
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 120930.68, WCT time 19551.99, iteration CPU time 0.08, COMM 0.07, cpu-wait 0.03, comm-wait 0.01 (104000 iterations)
Info:Linear Algebra: Lingen CPU time 17060.57, WCT time 1485.14
Info:Linear Algebra: Mksol: CPU time 77930.28,  WCT time 10672.29, iteration CPU time 0.11, COMM 0.07, cpu-wait 0.03, comm-wait 0.0 (52000 iterations)
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 5.684e+06/422421 [4d 21:20:21]
Info:root: Cleaning up computation data in /tmp/cado.p25ej2xf
539822145266756492408495064060814003031076122629078575127820101589 1805769495680802613924079171125123339620280720757092076320622108941021483592395358809

END:Fri 29 Mar 2024 07:44:50 AEDT (974794363015679839136171268158597117533030162968707165277801660525339123740620826978932797501662836065024124926176292112793003096390888605818486047501 - C150)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 20:41:26 UTC 2022 年 4 月 15 日 (金) 5 時 41 分 26 秒 (日本時間)
4511e64480Ignacio SantosApril 18, 2022 21:17:45 UTC 2022 年 4 月 19 日 (火) 6 時 17 分 45 秒 (日本時間)
5043e66454Ignacio SantosDecember 17, 2023 07:22:43 UTC 2023 年 12 月 17 日 (日) 16 時 22 分 43 秒 (日本時間)

19×10225+89

c205

composite cofactor 合成数の残り
3341626481229326980234067440311308781160966494637020602504192765175975400788638391322168426109199184517891488780723916428209309667507106995769272213102342066268176470206344096226706705726612226344752671943<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:02:12 UTC 2023 年 8 月 8 日 (火) 1 時 2 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 08:45:03 UTC 2023 年 9 月 13 日 (水) 17 時 45 分 3 秒 (日本時間)

19×10226+89

c190

composite cofactor 合成数の残り
1196721397015788692456607183585890128508480766351009949674641621713585485251511101616207916365628461758330000480016108028399704087441885794211849466837270939427506240033169658125690946897559<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:15:47 UTC 2022 年 5 月 31 日 (火) 5 時 15 分 47 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:07:41 UTC 2023 年 9 月 13 日 (水) 18 時 7 分 41 秒 (日本時間)

19×10229+89

c152

composite cofactor 合成数の残り
58573433416945684581377138467999770347684871107459616654030725905238978716624626980387548107673741306301104318733074404838698209043975938065429121655049<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 20:56:08 UTC 2022 年 4 月 15 日 (金) 5 時 56 分 8 秒 (日本時間)
4511e64480Ignacio SantosApril 21, 2022 18:13:06 UTC 2022 年 4 月 22 日 (金) 3 時 13 分 6 秒 (日本時間)
5043e66454Ignacio SantosFebruary 16, 2024 10:29:52 UTC 2024 年 2 月 16 日 (金) 19 時 29 分 52 秒 (日本時間)
5511e70 / 13307--
6026e7800 / 41188Lionel DebrouxJune 11, 2023 06:27:24 UTC 2023 年 6 月 11 日 (日) 15 時 27 分 24 秒 (日本時間)

19×10230+89

c122

name 名前Eric Jeancolas
date 日付April 16, 2022 04:02:09 UTC 2022 年 4 月 16 日 (土) 13 時 2 分 9 秒 (日本時間)
composite number 合成数
35919573818974735625210162293969314374030219351024567291572269027625434805245519770460348470687469470479069263586286596807<122>
prime factors 素因数
97760001332687554089390482477406194940796152581941<50>
367426077427481333773742398428392041404347985213098470606389609401388427<72>
factorization results 素因数分解の結果
35919573818974735625210162293969314374030219351024567291572269027625434805245519770460348470687469470479069263586286596807=97760001332687554089390482477406194940796152581941*367426077427481333773742398428392041404347985213098470606389609401388427

cado polynomial
n: 35919573818974735625210162293969314374030219351024567291572269027625434805245519770460348470687469470479069263586286596807
skew: 18856.691
c0: -183602592081202507883875710
c1: -52809207619084492440267
c2: 26068212159750360786
c3: 345657183793303
c4: -29482478440
c5: 364800
Y0: -212938601401399395244766
Y1: 268807298431130467
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.276e-06
# f(x) = 364800*x^5-29482478440*x^4+345657183793303*x^3+26068212159750360786*x^2-52809207619084492440267*x-183602592081202507883875710
# g(x) = 268807298431130467*x-212938601401399395244766

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: 367426077427481333773742398428392041404347985213098470606389609401388427 97760001332687554089390482477406194940796152581941
Info:Square Root: Total cpu/real time for sqrt: 246.65/72.9407
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 182.53/176.706
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 146.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 104.88/124.165
Info:Linear Algebra: Total cpu/real time for bwc: 6035.21/1567.86
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3688.46, WCT time 955.8, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 144.77, WCT time 36.78
Info:Linear Algebra: Mksol: CPU time 2120.71,  WCT time 546.7, iteration CPU time 0.04, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13838269
Info:Lattice Sieving: Average J: 1891.48 for 325590 special-q, max bucket fill -bkmult 1.0,1s:1.278260
Info:Lattice Sieving: Total time: 38630.4s
Info:Generate Factor Base: Total cpu/real time for makefb: 5.13/1.37684
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1941.64
Info:Polynomial Selection (root optimized): Rootsieve time: 1939.26
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 56.53/62.6823
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 62.2s
Info:Filtering - Merging: Merged matrix has 795397 rows and total weight 79913443 (100.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 60.89/19.9402
Info:Filtering - Merging: Total cpu/real time for replay: 19.44/15.4609
Info:Quadratic Characters: Total cpu/real time for characters: 25.15/9.6002
Info:Generate Free Relations: Total cpu/real time for freerel: 126.8/32.2395
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): 19807/36.380/43.523/48.340/1.044
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 15944/34.950/38.533/43.970/0.879
Info:Polynomial Selection (size optimized): Total time: 2219.63
Info:Square Root: Total cpu/real time for sqrt: 246.65/72.9407
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 82450.5/22495.4
Info:root: Cleaning up computation data in /tmp/cado.gliu8474
367426077427481333773742398428392041404347985213098470606389609401388427 97760001332687554089390482477406194940796152581941
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-105-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.7)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 18:31:36 UTC 2022 年 4 月 15 日 (金) 3 時 31 分 36 秒 (日本時間)

19×10231+89

c209

composite cofactor 合成数の残り
34320626346093313678122325916105742669595824038088624450267768703031872264436322578051871405751777980165373377673649972689717878371316264263699302227642339297328404423919962907722211522972498855046533368681653<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:02:04 UTC 2023 年 8 月 8 日 (火) 1 時 2 分 4 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:08:07 UTC 2023 年 9 月 13 日 (水) 18 時 8 分 7 秒 (日本時間)

19×10235+89

c195

name 名前Dmitry Domanov
date 日付June 4, 2022 00:01:08 UTC 2022 年 6 月 4 日 (土) 9 時 1 分 8 秒 (日本時間)
composite number 合成数
629793969292911127177154466867478365886464637973205928873600316115217054416438674419991894859341861407228818512321300272662679496229646154511011469817849425665720316720171336753558992508960322301<195>
prime factors 素因数
192802243698790873434247961951669039647<39>
composite cofactor 合成数の残り
3266528216740149758027912478836591004646450203910427230967206939668883679242942411961784841029128610696752878971715863195081677741749182466383503207816662883<157>
factorization results 素因数分解の結果
sing B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2994353543
Step 1 took 19496ms
Step 2 took 8214ms
********** Factor found in step 2: 192802243698790873434247961951669039647
Found prime factor of 39 digits: 192802243698790873434247961951669039647
Composite cofactor 3266528216740149758027912478836591004646450203910427230967206939668883679242942411961784841029128610696752878971715863195081677741749182466383503207816662883 has 157 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:15:58 UTC 2022 年 5 月 31 日 (火) 5 時 15 分 58 秒 (日本時間)
2350Ignacio SantosJune 6, 2022 18:34:33 UTC 2022 年 6 月 7 日 (火) 3 時 34 分 33 秒 (日本時間)
4511e64480Ignacio SantosJune 6, 2022 19:45:26 UTC 2022 年 6 月 7 日 (火) 4 時 45 分 26 秒 (日本時間)

19×10236+89

c223

composite cofactor 合成数の残り
2459818731950753605876809690064752510504602545185428746900281021584028552887406261913439752031591764928097590326569517661876537754296572718029710887476109868088385552562824419580356122499966489942520826665006041754785265501<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:01:55 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 55 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:37:24 UTC 2023 年 9 月 13 日 (水) 18 時 37 分 24 秒 (日本時間)

19×10237+89

c184

composite cofactor 合成数の残り
8725913829110350034598864339820056033524494074067153966495758188976380721160109529766821766811513152086759066988074420909837091006650714808492444240935517587044931212399814091954504783<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633521000Dmitry DomanovMay 30, 2022 20:16:07 UTC 2022 年 5 月 31 日 (火) 5 時 16 分 7 秒 (日本時間)
2Ignacio SantosSeptember 13, 2023 09:37:33 UTC 2023 年 9 月 13 日 (水) 18 時 37 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:37:46 UTC 2023 年 9 月 13 日 (水) 18 時 37 分 46 秒 (日本時間)

19×10240+89

c208

name 名前Ignacio Santos
date 日付September 13, 2023 09:38:39 UTC 2023 年 9 月 13 日 (水) 18 時 38 分 39 秒 (日本時間)
composite number 合成数
1469644190042321243481128876000744648716762085124571390136722283942340053344278952780822555369171245152857661479427958766362674703315534780653946780095667909765463552827787189052168655126482982866466077406307<208>
prime factors 素因数
4804482510971264717686907008847308679<37>
composite cofactor 合成数の残り
305890215374146688235643324437193376195178198330998509278890085127252078534549931403873404126202242542879301732496452993137609176016943177241468752620141066920727250488133<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:270966247
Step 1 took 6719ms
Step 2 took 2812ms
********** Factor found in step 2: 4804482510971264717686907008847308679
Found prime factor of 37 digits: 4804482510971264717686907008847308679
Composite cofactor 305890215374146688235643324437193376195178198330998509278890085127252078534549931403873404126202242542879301732496452993137609176016943177241468752620141066920727250488133 has 171 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:01:46 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 46 秒 (日本時間)
2350Ignacio SantosSeptember 19, 2023 06:34:08 UTC 2023 年 9 月 19 日 (火) 15 時 34 分 8 秒 (日本時間)

19×10241+89

c177

composite cofactor 合成数の残り
363909090799590574141902934649564083406816769525873384398572437641729987601710680509747074888937877013597929310003903764948133107411949383458489304525882854695490066122538916181<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 18, 2022 10:18:51 UTC 2022 年 5 月 18 日 (水) 19 時 18 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:48:49 UTC 2023 年 9 月 13 日 (水) 18 時 48 分 49 秒 (日本時間)

19×10242+89

c216

composite cofactor 合成数の残り
173638700222417493715961781735019917221677105695670889451560978716982801166108378045024241237754369369763536063998336043871587120457613210654498527743782660679082926492014260492958681280842533952831872832304045343499<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:01:38 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 09:54:58 UTC 2023 年 9 月 13 日 (水) 18 時 54 分 58 秒 (日本時間)

19×10243+89

c238

composite cofactor 合成数の残り
6232761493868274850348116131436474382694180044141072979732371782254868770846946996596256144190672639620418264221849568692904624315380355910363704595972717562740945437749802519872667963081057391267835539074822005453338267056115848009846451<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:01:29 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 29 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 10:24:38 UTC 2023 年 9 月 13 日 (水) 19 時 24 分 38 秒 (日本時間)

19×10245+89

c215

composite cofactor 合成数の残り
55405199708261512398697544672025784430261413539572037707517748021031024069768901040906707177063797527320298276713703511208076131916559634453664378282568660447581047754752056417989995007840049484475855573717508226463<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:01:22 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 22 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 10:25:02 UTC 2023 年 9 月 13 日 (水) 19 時 25 分 2 秒 (日本時間)

19×10246+89

c240

name 名前Dmitry Domanov
date 日付August 8, 2023 15:29:31 UTC 2023 年 8 月 9 日 (水) 0 時 29 分 31 秒 (日本時間)
composite number 合成数
152155836790794437336364405733436940246705153444516646393102644583761531890870374310405723058310537185701297783579559916630133249433003286502009065668985649750589355613304301359017494846081397798974527319083987267087052422394597167261932333<240>
prime factors 素因数
46849148459087931909306985254692401447<38>
3247782335332475239827178642989007701743396976975932797453614939444264954703332414849297769495587302047384411729985664423516208134685081789562845451119409493363735368580540053850643774822688072639929739<202>
factorization results 素因数分解の結果
Resuming ECM residue saved by @dd0cac0d8578 with GMP-ECM 7.0.5-dev on Mon Aug  7 16:31:51 2023 
Input number is 152155836790794437336364405733436940246705153444516646393102644583761531890870374310405723058310537185701297783579559916630133249433003286502009065668985649750589355613304301359017494846081397798974527319083987267087052422394597167261932333 (240 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:325218433
Step 1 took 0ms
Step 2 took 6450ms
********** Factor found in step 2: 46849148459087931909306985254692401447
Found prime factor of 38 digits: 46849148459087931909306985254692401447
Prime cofactor 3247782335332475239827178642989007701743396976975932797453614939444264954703332414849297769495587302047384411729985664423516208134685081789562845451119409493363735368580540053850643774822688072639929739 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 7, 2023 16:01:13 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 13 秒 (日本時間)

19×10248+89

c239

name 名前Dmitry Domanov
date 日付August 8, 2023 15:29:03 UTC 2023 年 8 月 9 日 (水) 0 時 29 分 3 秒 (日本時間)
composite number 合成数
31313363485091012751770281788112871134278770478707505938203954200041950862452190052904320508369415817665365924973447681810214937401706223091142085322522824275375547124408045732717248615684752518245841046113060700239325321094286219409726847<239>
prime factors 素因数
139855263064865755677575932976670193996429387<45>
223898356049480073493221359652017032118404206011149331434099512625166227952609010724460744711795548210425397715906897620426228319801311653150226742995236007733186582518854557390759315565865719581<195>
factorization results 素因数分解の結果
Resuming ECM residue saved by @dd0cac0d8578 with GMP-ECM 7.0.5-dev on Mon Aug  7 16:27:23 2023 
Input number is 31313363485091012751770281788112871134278770478707505938203954200041950862452190052904320508369415817665365924973447681810214937401706223091142085322522824275375547124408045732717248615684752518245841046113060700239325321094286219409726847 (239 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2274538960
Step 1 took 0ms
Step 2 took 6031ms
********** Factor found in step 2: 139855263064865755677575932976670193996429387
Found prime factor of 45 digits: 139855263064865755677575932976670193996429387
Prime cofactor 223898356049480073493221359652017032118404206011149331434099512625166227952609010724460744711795548210425397715906897620426228319801311653150226742995236007733186582518854557390759315565865719581 has 195 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 7, 2023 16:01:04 UTC 2023 年 8 月 8 日 (火) 1 時 1 分 4 秒 (日本時間)

19×10250+89

c209

composite cofactor 合成数の残り
30115575081284772790443591248398750967308858597545679132122662945273566715763254618690263880064078067420306008695654970178756519626241169664997746430557317376337761297426599704049275184104695003169974485770849<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:00:55 UTC 2023 年 8 月 8 日 (火) 1 時 0 分 55 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 10:36:57 UTC 2023 年 9 月 13 日 (水) 19 時 36 分 57 秒 (日本時間)

19×10251+89

c230

composite cofactor 合成数の残り
13276424358829670893664047138659106803063214830727348546798972355100628427120087403828451957071966982893238728863576338273637892453149899804811818195973336851714027740970468240125861372929535682933555821941620159771759694802339407<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:00:45 UTC 2023 年 8 月 8 日 (火) 1 時 0 分 45 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 10:46:10 UTC 2023 年 9 月 13 日 (水) 19 時 46 分 10 秒 (日本時間)

19×10252+89

c191

composite cofactor 合成数の残り
85339643539643334348019337662664889863811688416496100950207542539632223062010337292403837035041684673965386784532254478768226634231433989163359107253823502864430595743417219815377804613566531<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:16:18 UTC 2022 年 5 月 31 日 (火) 5 時 16 分 18 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 11:05:42 UTC 2023 年 9 月 13 日 (水) 20 時 5 分 42 秒 (日本時間)

19×10253+89

c229

composite cofactor 合成数の残り
6537752717026922780783709917245841633579285578039331244465871065384323662589295298190825031589997248304548800146873627697231642346090584341163366927625334855074147397610302413276994066987299319682402604503979396405442838880922101<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:00:25 UTC 2023 年 8 月 8 日 (火) 1 時 0 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 11:10:01 UTC 2023 年 9 月 13 日 (水) 20 時 10 分 1 秒 (日本時間)

19×10254+89

c229

composite cofactor 合成数の残り
4282021132305405329468313749206706284184276792712995017153341099548798634274371717665174554040992430666114845594883736864493240559172479773475493760317615195986735465176565578584642982025027341006601988526431289627968650678567239<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:00:17 UTC 2023 年 8 月 8 日 (火) 1 時 0 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 11:26:38 UTC 2023 年 9 月 13 日 (水) 20 時 26 分 38 秒 (日本時間)

19×10255+89

c229

composite cofactor 合成数の残り
7798756879183935523254208501940265399823296839720077249247421189416106769881428299780095941422122083432487487364815900390514863900246443366504236544339231128319853316914625079964627549134454931939498300277012857290558998092372233<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 16:00:07 UTC 2023 年 8 月 8 日 (火) 1 時 0 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 11:35:24 UTC 2023 年 9 月 13 日 (水) 20 時 35 分 24 秒 (日本時間)

19×10256+89

c243

composite cofactor 合成数の残り
140985682877821886690391146102351867157179694683242030373532396065211253204081729220232440463404438270518651361834567282416667581210565648748060381273787259226738383939869457472311484691133264737748753186870091166839804193171851792151173284489<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 7, 2023 15:59:56 UTC 2023 年 8 月 8 日 (火) 0 時 59 分 56 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 11:49:41 UTC 2023 年 9 月 13 日 (水) 20 時 49 分 41 秒 (日本時間)

19×10257+89

c195

composite cofactor 合成数の残り
761550940039107046008444638258772687405323528942630362097793587243957410898614178559626077032238746437509111234412493049238476185744181719577703449385835408047560537261649353539796959381585980489<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:16:28 UTC 2022 年 5 月 31 日 (火) 5 時 16 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 12:02:43 UTC 2023 年 9 月 13 日 (水) 21 時 2 分 43 秒 (日本時間)

19×10258+89

c242

composite cofactor 合成数の残り
53648028254897888623114423023954542995243263154705950481977363696058740738349957267832636720017651172411752378814107889586258961262686358535954199351709789491912076055955921633746341762233747610544952375122027486904161908632045928663323817581<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:31:06 UTC 2023 年 8 月 7 日 (月) 6 時 31 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 12:14:32 UTC 2023 年 9 月 13 日 (水) 21 時 14 分 32 秒 (日本時間)

19×10260+89

c201

composite cofactor 合成数の残り
514951192395279649179646067960487800165300105164392359025873761542837863535917541398857464488665681743019789690711585512423386587890073677331837547734126925209686056891372301016124293980883137799603951<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:30:36 UTC 2023 年 8 月 7 日 (月) 6 時 30 分 36 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 12:31:09 UTC 2023 年 9 月 13 日 (水) 21 時 31 分 9 秒 (日本時間)

19×10261+89

c225

name 名前Dmitry Domanov
date 日付August 7, 2023 14:41:44 UTC 2023 年 8 月 7 日 (月) 23 時 41 分 44 秒 (日本時間)
composite number 合成数
182134101103785739901441806795557874365684857567100590492810154188738480829559456547348230515317915872770378420186518298026853849744736571887032723564358905129924178043661554081843402496563457716220851919861734862624785427167<225>
prime factors 素因数
30728275581230125653955027710337378019<38>
5927247711063859198659137248729642648825652141169998165586965493955327300812479540178837859323795316611938320129646608433214335123191987307993544569662586847999643304676616688820024340693<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e5b136eadf4e with GMP-ECM 7.0.5-dev on Sun Aug  6 22:08:54 2023 
Input number is 182134101103785739901441806795557874365684857567100590492810154188738480829559456547348230515317915872770378420186518298026853849744736571887032723564358905129924178043661554081843402496563457716220851919861734862624785427167 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:354821930
Step 1 took 0ms
Step 2 took 5750ms
********** Factor found in step 2: 30728275581230125653955027710337378019
Found prime factor of 38 digits: 30728275581230125653955027710337378019
Prime cofactor 5927247711063859198659137248729642648825652141169998165586965493955327300812479540178837859323795316611938320129646608433214335123191987307993544569662586847999643304676616688820024340693 has 187 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 6, 2023 21:30:27 UTC 2023 年 8 月 7 日 (月) 6 時 30 分 27 秒 (日本時間)

19×10262+89

c195

composite cofactor 合成数の残り
950110374516090653183940596087233714478175902799267896727170870920654621624535234047971065978311673140987945853997296622450345623126939167469045073483970228222889376016967947353448453874952734059<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovMay 30, 2022 20:16:41 UTC 2022 年 5 月 31 日 (火) 5 時 16 分 41 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 12:37:43 UTC 2023 年 9 月 13 日 (水) 21 時 37 分 43 秒 (日本時間)

19×10263+89

c259

composite cofactor 合成数の残り
5540392376420090045956096764410852170667413161639489584062332330230713602538082907597919145263256117759581962815219166258427228404133715912006905078498611985909907387967434156810600228614085427018452422609466489374110621223785196071570205519397205309445494203<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:44:52 UTC 2022 年 6 月 5 日 (日) 23 時 44 分 52 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 12:52:08 UTC 2023 年 9 月 13 日 (水) 21 時 52 分 8 秒 (日本時間)

19×10264+89

c182

composite cofactor 合成数の残り
14374614742426183115180333711267738646367821470249332916495034808543424219833172882944514811046804873480780769479181630644065415099394607092963854097205540585447289901804441687057831<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 21:47:07 UTC 2022 年 4 月 15 日 (金) 6 時 47 分 7 秒 (日本時間)
4511e64480Ignacio SantosApril 22, 2022 19:19:49 UTC 2022 年 4 月 23 日 (土) 4 時 19 分 49 秒 (日本時間)
5043e61792 / 6453Dmitry DomanovApril 23, 2024 20:28:42 UTC 2024 年 4 月 24 日 (水) 5 時 28 分 42 秒 (日本時間)

19×10265+89

c214

name 名前Dmitry Domanov
date 日付August 7, 2023 14:41:19 UTC 2023 年 8 月 7 日 (月) 23 時 41 分 19 秒 (日本時間)
composite number 合成数
1500006463067258571127752329888422632186029656856592236257625633920010432655926138592448953714698081351877566657825341052684154229186164589460179279832764907598163791426427074030697354090374478604090020906591248901<214>
prime factors 素因数
2042266022851732219825410754159647463<37>
composite cofactor 合成数の残り
734481427141756107015018783194733162930586926187524560483438009757786208288110817133212596135741461594646299181605734981954983262990277104998831048703392553445735357067547019827<177>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e5b136eadf4e with GMP-ECM 7.0.5-dev on Sun Aug  6 22:05:59 2023 
Input number is 1500006463067258571127752329888422632186029656856592236257625633920010432655926138592448953714698081351877566657825341052684154229186164589460179279832764907598163791426427074030697354090374478604090020906591248901 (214 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2135833317
Step 1 took 0ms
Step 2 took 5687ms
********** Factor found in step 2: 2042266022851732219825410754159647463
Found prime factor of 37 digits: 2042266022851732219825410754159647463
Composite cofactor 734481427141756107015018783194733162930586926187524560483438009757786208288110817133212596135741461594646299181605734981954983262990277104998831048703392553445735357067547019827 has 177 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:30:18 UTC 2023 年 8 月 7 日 (月) 6 時 30 分 18 秒 (日本時間)
2350Ignacio SantosAugust 27, 2023 07:15:35 UTC 2023 年 8 月 27 日 (日) 16 時 15 分 35 秒 (日本時間)
4511e64480Ignacio SantosAugust 27, 2023 08:38:10 UTC 2023 年 8 月 27 日 (日) 17 時 38 分 10 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovMay 7, 2024 04:46:49 UTC 2024 年 5 月 7 日 (火) 13 時 46 分 49 秒 (日本時間)

19×10267+89

c229

composite cofactor 合成数の残り
2621719425969469864838647254172868148923217283336550589023838384178800911330063292715855287933654618973864594094447339205645648777987510069262507156681324152848140231124092652813773914157729001568671892198820878343224017592982301<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:30:09 UTC 2023 年 8 月 7 日 (月) 6 時 30 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 13:09:14 UTC 2023 年 9 月 13 日 (水) 22 時 9 分 14 秒 (日本時間)

19×10272+89

c238

name 名前Dmitry Domanov
date 日付August 7, 2023 14:40:56 UTC 2023 年 8 月 7 日 (月) 23 時 40 分 56 秒 (日本時間)
composite number 合成数
1036790276388745227843888903302814205762396440527308452299467633553795894032591195938929880542853393408558909399368837731637317591342069574949996837339806911122553839427368616746830259960632361193195419773609757770100365671684379701357487<238>
prime factors 素因数
343401992673900955244707389860351059<36>
composite cofactor 合成数の残り
3019173733721734394129787886985895991901216291721378388595580494464357705615451454211264895511734991239858307910239026269113889156110882327506227157099533440060352251442894868013938355397603462313351093<202>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e5b136eadf4e with GMP-ECM 7.0.5-dev on Sun Aug  6 22:00:07 2023 
Input number is 1036790276388745227843888903302814205762396440527308452299467633553795894032591195938929880542853393408558909399368837731637317591342069574949996837339806911122553839427368616746830259960632361193195419773609757770100365671684379701357487 (238 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2273589501
Step 1 took 0ms
Step 2 took 6240ms
********** Factor found in step 2: 343401992673900955244707389860351059
Found prime factor of 36 digits: 343401992673900955244707389860351059
Composite cofactor 3019173733721734394129787886985895991901216291721378388595580494464357705615451454211264895511734991239858307910239026269113889156110882327506227157099533440060352251442894868013938355397603462313351093 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:59 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 13:47:25 UTC 2023 年 9 月 13 日 (水) 22 時 47 分 25 秒 (日本時間)

19×10273+89

c263

composite cofactor 合成数の残り
30876319454710357518343817663930988660436539209209687183418527287623353489669895129457339526562067976933433615755157120178797859547092050775959344946689287249044432115442982456347504466443144466969793332544896180615634251056433598406942769410776811131986572493663<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:45:06 UTC 2022 年 6 月 5 日 (日) 23 時 45 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 13:47:47 UTC 2023 年 9 月 13 日 (水) 22 時 47 分 47 秒 (日本時間)

19×10275+89

c254

composite cofactor 合成数の残り
41711048396945318364254457919057150116623436691035580365557469070470484536176866916521589137724367544396461135419086082089349149480432185850440284337288439719986721033021403441915414488381425475963864141200740432486071622120241575085846080818135605552437<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:45:18 UTC 2022 年 6 月 5 日 (日) 23 時 45 分 18 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 13:48:10 UTC 2023 年 9 月 13 日 (水) 22 時 48 分 10 秒 (日本時間)

19×10276+89

c268

composite cofactor 合成数の残り
2566229163925055999091258814163828927755904482979654711521270816044850053009488308718608854323262359851890823958582146133862472282550488054700820257280108772329809407975264757835829209459794076760370347344541535320710016418907073599341128063707409403447464046883595669<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:45:31 UTC 2022 年 6 月 5 日 (日) 23 時 45 分 31 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 14:02:04 UTC 2023 年 9 月 13 日 (水) 23 時 2 分 4 秒 (日本時間)

19×10277+89

c237

composite cofactor 合成数の残り
195915969425122217973732211969361373184982002869884177757632395512548699006604002657636924747912724667527407500200388979886725011390389241682762223428530502615471833537847974936206084796952238166230795092066520873268397404953657583936969<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:48 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 48 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 14:19:01 UTC 2023 年 9 月 13 日 (水) 23 時 19 分 1 秒 (日本時間)

19×10278+89

c203

composite cofactor 合成数の残り
17014292050412851344155112743069138773488718006269482631511359154951982941308650563717740613066123311819532147992746827694731643750472216107663934305877019080128104079093309743774663922065688563971534517<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:39 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 39 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 14:27:18 UTC 2023 年 9 月 13 日 (水) 23 時 27 分 18 秒 (日本時間)

19×10279+89

c231

composite cofactor 合成数の残り
977437469382250263629121752773053995785257292879430812874228840917851553017386214215173270289981445399324470386242249092844656192445942166859746493993058661914517430315729102685809380280984517724000643848665725219728488296238107137<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:30 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 14:41:02 UTC 2023 年 9 月 13 日 (水) 23 時 41 分 2 秒 (日本時間)

19×10280+89

c264

composite cofactor 合成数の残り
272988158725130717983915281679055241789076787415285490573207302037868281675219364170719422976819971763395937387357391770089718823900094315403681565523865237698753345661696191713265888875355137081392125022780584467851254717769008073653905179666322038237309549182911<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:45:44 UTC 2022 年 6 月 5 日 (日) 23 時 45 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 14:58:02 UTC 2023 年 9 月 13 日 (水) 23 時 58 分 2 秒 (日本時間)

19×10281+89

c148

name 名前ebina
date 日付June 9, 2022 21:11:54 UTC 2022 年 6 月 10 日 (金) 6 時 11 分 54 秒 (日本時間)
composite number 合成数
7725668672945084115084116472787916507069103469654712547305465555771070566152263684860132776722566360077699887179984046139660494616016940869157801653<148>
prime factors 素因数
460933155272026262718433861265152184583470112787411<51>
16760930700213289662407627244449497543702498602204183085360134547955585967579703460041200971419223<98>
factorization results 素因数分解の結果
Number: 21112_281
N = 7725668672945084115084116472787916507069103469654712547305465555771070566152263684860132776722566360077699887179984046139660494616016940869157801653 (148 digits)
Divisors found:
r1=460933155272026262718433861265152184583470112787411 (pp51)
r2=16760930700213289662407627244449497543702498602204183085360134547955585967579703460041200971419223 (pp98)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 66.43 hours.
Factorization parameters were as follows:
n:  7725668672945084115084116472787916507069103469654712547305465555771070566152263684860132776722566360077699887179984046139660494616016940869157801653
# norm 2.594099e-14 alpha -7.897082 e 6.661e-12 rroots 5
skew: 30492773.55
c0: -402671075463518581407025158398796205771
c1: 1159095319442426507331890176707095
c2: 5396561365610528278481157
c3: -2388540245883857927
c4: -5321257922
c5: 1128
Y0: -92709748485559994157658938540
Y1: 1591521785441917
type: gnfs
Factor base limits: 18700000/18700000
Large primes per side: 3
Large prime bits: 29/29
Sieved algebraic special-q in [0, 0)
Total raw relations: 43674955
Relations: 6787238 relations
Pruned matrix : 4002937 x 4003175
Polynomial selection time: 0.75 hours.
Total sieving time: 59.70 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 4.94 hours.
time per square root: 0.70 hours.
Prototype def-par.txt line would be: gnfs,147,5,65,2000,1e-05,0.28,250,20,50000,3600,18700000,18700000,29,29,58,58,2.6,2.6,100000
total time: 66.43 hours.
Intel64 Family 6 Model 45 Stepping 6, GenuineIntel
processors: 12, speed: 3.30GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 14, 2022 20:40:48 UTC 2022 年 4 月 15 日 (金) 5 時 40 分 48 秒 (日本時間)
4511e661241644Taiyo KodamaApril 16, 2022 07:10:24 UTC 2022 年 4 月 16 日 (土) 16 時 10 分 24 秒 (日本時間)
4480Ignacio SantosApril 17, 2022 13:57:31 UTC 2022 年 4 月 17 日 (日) 22 時 57 分 31 秒 (日本時間)
5043e66454Ignacio SantosMay 5, 2022 19:05:02 UTC 2022 年 5 月 6 日 (金) 4 時 5 分 2 秒 (日本時間)

19×10282+89

c217

name 名前Dmitry Domanov
date 日付August 7, 2023 14:40:07 UTC 2023 年 8 月 7 日 (月) 23 時 40 分 7 秒 (日本時間)
composite number 合成数
2428814224070200285103256405918923311539865977379882820860387246113661367898886968804394142446664863979807730485022956025808964678021954126066907914604982358473258227317396168543483501603663957408120623220675855628257<217>
prime factors 素因数
97058958244238175245518536298364287096997<41>
25024111818286333523848333224642979471093194177064907766584942994173447707380229959117710030796278544664388284386534251334425118695819979864240451036853127858467910142706909581<176>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e5b136eadf4e with GMP-ECM 7.0.5-dev on Sun Aug  6 21:43:47 2023 
Input number is 2428814224070200285103256405918923311539865977379882820860387246113661367898886968804394142446664863979807730485022956025808964678021954126066907914604982358473258227317396168543483501603663957408120623220675855628257 (217 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3659114233
Step 1 took 0ms
Step 2 took 5635ms
********** Factor found in step 2: 97058958244238175245518536298364287096997
Found prime factor of 41 digits: 97058958244238175245518536298364287096997
Prime cofactor 25024111818286333523848333224642979471093194177064907766584942994173447707380229959117710030796278544664388284386534251334425118695819979864240451036853127858467910142706909581 has 176 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovAugust 6, 2023 21:29:21 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 21 秒 (日本時間)

19×10283+89

c254

name 名前Dmitry Domanov
date 日付June 5, 2022 15:40:38 UTC 2022 年 6 月 6 日 (月) 0 時 40 分 38 秒 (日本時間)
composite number 合成数
10102389099611082163330877591313955022511866245992624918087090167656662988092987709692352052376807317672881512804300147544891817834282542003924806305582998272503583205820515193887747029816672133546288537984976932910185883198263297424074140594169973229409<254>
prime factors 素因数
555388666319663275432782507944646717628103<42>
18189764595946008075792301072765289398494474698042883369810115590661425954900951816907660844618903864718489426448188883629267808664494924591747498759401864620566507368514014085610859537888940783499865608471191703<212>
factorization results 素因数分解の結果
GPU: factor 555388666319663275432782507944646717628103 found in Step 1 with curve 1141 (-sigma 3:251693539)
Computing 1792 Step 1 took 326ms of CPU time / 267391ms of GPU time
Throughput: 6.702 curves per second (on average 149.21ms per Step 1)
********** Factor found in step 1: 555388666319663275432782507944646717628103
Found prime factor of 42 digits: 555388666319663275432782507944646717628103
Prime cofactor 18189764595946008075792301072765289398494474698042883369810115590661425954900951816907660844618903864718489426448188883629267808664494924591747498759401864620566507368514014085610859537888940783499865608471191703 has 212 digits
Peak memory usage: 9428MB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJune 5, 2022 14:45:55 UTC 2022 年 6 月 5 日 (日) 23 時 45 分 55 秒 (日本時間)

19×10284+89

c281

composite cofactor 合成数の残り
53527157989632634663060626549470362857786792878070768537299977462249267523101194500788821275636691458192472391255352715798963263466306062654947036285778679287807076853729997746224926752310119450078882127563669145819247239125535271579896326346630606265494703628577867928780707685373<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 24, 2022 23:17:02 UTC 2022 年 4 月 25 日 (月) 8 時 17 分 2 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 15:14:18 UTC 2023 年 9 月 14 日 (木) 0 時 14 分 18 秒 (日本時間)

19×10286+89

c271

composite cofactor 合成数の残り
3462760069512902443780889066008364959559569932360737887192552952084585655333923213202581350547795891839828943819024390159415603113194505016286644707645682394473748341434525709701995365082476767065502224034698486548684171117532881747740603192274552515133503540856502660619<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 24, 2022 23:17:11 UTC 2022 年 4 月 25 日 (月) 8 時 17 分 11 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 15:32:36 UTC 2023 年 9 月 14 日 (木) 0 時 32 分 36 秒 (日本時間)

19×10287+89

c236

name 名前Dmitry Domanov
date 日付August 7, 2023 14:39:43 UTC 2023 年 8 月 7 日 (月) 23 時 39 分 43 秒 (日本時間)
composite number 合成数
59712837181088815235974473174000967135011512350617380371045014700090605972846068909943831612550970343103857002997191047235007736583575596055262839535074104479135263464579056219001506299602009673767504535910867116796726644340224423815571<236>
prime factors 素因数
133624369035340764302544396303790025237<39>
composite cofactor 合成数の残り
446870863542083834827008303126741803854192532961861688731185321465545981191579569086639490641578828213797664833642067643671591411723573591577126249209563925984979960335943682594426442882267801515783<198>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e5b136eadf4e with GMP-ECM 7.0.5-dev on Sun Aug  6 21:40:51 2023 
Input number is 59712837181088815235974473174000967135011512350617380371045014700090605972846068909943831612550970343103857002997191047235007736583575596055262839535074104479135263464579056219001506299602009673767504535910867116796726644340224423815571 (236 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3050120055
Step 1 took 0ms
Step 2 took 6773ms
********** Factor found in step 2: 133624369035340764302544396303790025237
Found prime factor of 39 digits: 133624369035340764302544396303790025237
Composite cofactor 446870863542083834827008303126741803854192532961861688731185321465545981191579569086639490641578828213797664833642067643671591411723573591577126249209563925984979960335943682594426442882267801515783 has 198 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:13 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 13 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 15:44:35 UTC 2023 年 9 月 14 日 (木) 0 時 44 分 35 秒 (日本時間)

19×10291+89

c236

composite cofactor 合成数の残り
34564453616022958599309516940608983540516480774418742243550272741012176264117027076449224779922690830287258606549667323856212691342906332471480134943108587706046342078669385612106053570467461006248084064464921985092361413583668402220673<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 6, 2023 21:29:04 UTC 2023 年 8 月 7 日 (月) 6 時 29 分 4 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 15:57:32 UTC 2023 年 9 月 14 日 (木) 0 時 57 分 32 秒 (日本時間)

19×10292+89

c252

composite cofactor 合成数の残り
141836938203359365512567159447160349080011961994980183323857779256271900355774007156070019929824775171842245439728410184203926762417015270985408325545939532464657105295370595392364361135944212989012784749706364877768056044777931064436793925639734943823<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 5, 2022 14:46:28 UTC 2022 年 6 月 5 日 (日) 23 時 46 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 16:22:38 UTC 2023 年 9 月 14 日 (木) 1 時 22 分 38 秒 (日本時間)

19×10294+89

c243

name 名前Dmitry Domanov
date 日付August 5, 2023 01:06:23 UTC 2023 年 8 月 5 日 (土) 10 時 6 分 23 秒 (日本時間)
composite number 合成数
465086225613522271591020832238118050214912549180346987702878247264991487287043976045098153343532824071535030596463777598450347751137075548544610830468180918025508124332228472337780788329383844676949967674233612384562042371717246013621190470869<243>
prime factors 素因数
342334738615347543122918722712844701<36>
composite cofactor 合成数の残り
1358571518317631632339610355152465124699903594027007847589933739292826774002897809334626664926893176723376514736393365874869103240142683512316318768440779319096308131268266695428751501948590840933773952636569<208>
factorization results 素因数分解の結果
Resuming ECM residue saved by @b065a174192f with GMP-ECM 7.0.5-dev on Fri Aug  4 16:24:19 2023 
Input number is 465086225613522271591020832238118050214912549180346987702878247264991487287043976045098153343532824071535030596463777598450347751137075548544610830468180918025508124332228472337780788329383844676949967674233612384562042371717246013621190470869 (243 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3448973308
Step 1 took 0ms
Step 2 took 8297ms
********** Factor found in step 2: 342334738615347543122918722712844701
Found prime factor of 36 digits: 342334738615347543122918722712844701
Composite cofactor 1358571518317631632339610355152465124699903594027007847589933739292826774002897809334626664926893176723376514736393365874869103240142683512316318768440779319096308131268266695428751501948590840933773952636569 has 208 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovAugust 4, 2023 07:58:10 UTC 2023 年 8 月 4 日 (金) 16 時 58 分 10 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 17:20:07 UTC 2023 年 9 月 14 日 (木) 2 時 20 分 7 秒 (日本時間)

19×10295+89

c291

composite cofactor 合成数の残り
338362468122693792651479534413243863173341311564160647376444273482355287714949210012679688279124104229887022552748927925232579675456967417475174879970366571212833554159365160775598011141029476713538772777136669943440042170648658659942157826501973187445683919590830733284894074738926643016911<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 24, 2022 23:17:20 UTC 2022 年 4 月 25 日 (月) 8 時 17 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 16:35:23 UTC 2023 年 9 月 14 日 (木) 1 時 35 分 23 秒 (日本時間)

19×10296+89

c280

composite cofactor 合成数の残り
7188665691776039075671163661783059696876782152571322402455416754395744979481328031197178189127397770381354408819684621038849954223374341769634287917097175894014486848039239947417844791035924764964681809264923395115496859147056316621399031294413388558399555362357593040425374028647<280>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 24, 2022 23:17:29 UTC 2022 年 4 月 25 日 (月) 8 時 17 分 29 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 17:01:54 UTC 2023 年 9 月 14 日 (木) 2 時 1 分 54 秒 (日本時間)

19×10297+89

c295

composite cofactor 合成数の残り
7996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633<295>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovApril 24, 2022 23:17:38 UTC 2022 年 4 月 25 日 (月) 8 時 17 分 38 秒 (日本時間)
2350Ignacio SantosSeptember 13, 2023 17:09:28 UTC 2023 年 9 月 14 日 (木) 2 時 9 分 28 秒 (日本時間)

19×10300+89

c256

composite cofactor 合成数の残り
1364675948645045697069984572876337567006853167767059837789241763624925347459002185316682800352607579365392529240027425480513124323287462898498696949733999884097129895182867414741052748628637671756520951858539747330341080035027206093768249107512897713181531<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 14, 2022 08:00:00 UTC 2022 年 4 月 14 日 (木) 17 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 14, 2022 15:44:35 UTC 2022 年 4 月 15 日 (金) 0 時 44 分 35 秒 (日本時間)
4511e635841792Dmitry DomanovApril 15, 2022 14:41:52 UTC 2022 年 4 月 15 日 (金) 23 時 41 分 52 秒 (日本時間)
1792Dmitry DomanovApril 17, 2022 15:48:28 UTC 2022 年 4 月 18 日 (月) 0 時 48 分 28 秒 (日本時間)
5043e6130 / 6675NFS@home + Dmitry DomanovApril 18, 2022 22:22:16 UTC 2022 年 4 月 19 日 (火) 7 時 22 分 16 秒 (日本時間)