Table of contents 目次

47×10110+259

c98

name 名前Dmitry Domanov
date 日付April 24, 2022 16:14:45 UTC 2022 年 4 月 25 日 (月) 1 時 14 分 45 秒 (日本時間)
composite number 合成数
49344189758874364471586446028230147647482450681391498108170817728026716260746048226442302619263519<98>
prime factors 素因数
11016556717108967597085418669586560811<38>
4479093697420147216971671972015076622861832078211497219000029<61>
factorization results 素因数分解の結果
N=49344189758874364471586446028230147647482450681391498108170817728026716260746048226442302619263519
  ( 98 digits)
SNFS difficulty: 110 digits.
Divisors found:
p38 factor: 11016556717108967597085418669586560811
p61 factor: 4479093697420147216971671972015076622861832078211497219000029
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.31 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 49344189758874364471586446028230147647482450681391498108170817728026716260746048226442302619263519
m: 1000000000000000000000000000
deg: 4
c4: 188
c0: 1
skew: 0.27
# Murphy_E = 1.25e-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, 440001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 40865 x 41090
Total sieving time: 0.30 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,110.000,4,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,20000
total time: 0.31 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10112+259

c95

name 名前Dmitry Domanov
date 日付April 24, 2022 16:28:18 UTC 2022 年 4 月 25 日 (月) 1 時 28 分 18 秒 (日本時間)
composite number 合成数
30333746745428467434359407839917063807065066681279908002980318834705649818944665334042743641621<95>
prime factors 素因数
9309932488907181353475015014581421<34>
3258213395378670870167255392138335037395827906292135589256201<61>
factorization results 素因数分解の結果
 ( 95 digits)
SNFS difficulty: 113 digits.
Divisors found:
p34 factor: 9309932488907181353475015014581421
p61 factor: 3258213395378670870167255392138335037395827906292135589256201
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.41 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 30333746745428467434359407839917063807065066681279908002980318834705649818944665334042743641621
m: 10000000000000000000000000000
deg: 4
c4: 47
c0: 25
skew: 0.85
# Murphy_E = 8.054e-08
type: snfs
lss: 1
rlim: 550000
alim: 550000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 550000/550000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [275000, 535001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 58971 x 59196
Total sieving time: 0.40 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,113.000,4,0,0,0,0,0,0,0,0,550000,550000,25,25,45,45,2.2,2.2,20000
total time: 0.41 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10119+259

c105

name 名前Dmitry Domanov
date 日付April 24, 2022 18:03:18 UTC 2022 年 4 月 25 日 (月) 3 時 3 分 18 秒 (日本時間)
composite number 合成数
310061467455335529260361581806632127426406083230599791075692825990764473698652036350653912987833430501311<105>
prime factors 素因数
4933556146572703256539361095641399211915990557937<49>
62847458961368549680626652964589139359143880379363907503<56>
factorization results 素因数分解の結果
N=310061467455335529260361581806632127426406083230599791075692825990764473698652036350653912987833430501311
  ( 105 digits)
SNFS difficulty: 119 digits.
Divisors found:
p49 factor: 4933556146572703256539361095641399211915990557937
p56 factor: 62847458961368549680626652964589139359143880379363907503
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 310061467455335529260361581806632127426406083230599791075692825990764473698652036350653912987833430501311
m: 100000000000000000000000000000
deg: 4
c4: 1880
c0: 1
skew: 0.15
# Murphy_E = 4.702e-08
type: snfs
lss: 1
rlim: 680000
alim: 680000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 680000/680000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [340000, 540001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 59578 x 59803
Total sieving time: 0.70 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,119.000,4,0,0,0,0,0,0,0,0,680000,680000,25,25,45,45,2.2,2.2,50000
total time: 0.71 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10129+259

c113

name 名前Dmitry Domanov
date 日付April 24, 2022 21:45:18 UTC 2022 年 4 月 25 日 (月) 6 時 45 分 18 秒 (日本時間)
composite number 合成数
50174994280665985851070411894672200097951664533004453259939557906151945545518490718520201812992653302084895577023<113>
prime factors 素因数
197657315858556625790238506751046229101970058899<48>
253848404561818297330611348804314418346270793848857023072258938277<66>
factorization results 素因数分解の結果
N=50174994280665985851070411894672200097951664533004453259939557906151945545518490718520201812992653302084895577023
  ( 113 digits)
SNFS difficulty: 129 digits.
Divisors found:
p48 factor: 197657315858556625790238506751046229101970058899
p66 factor: 253848404561818297330611348804314418346270793848857023072258938277
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 2.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 50174994280665985851070411894672200097951664533004453259939557906151945545518490718520201812992653302084895577023
m: 100000000000000000000000000000000
deg: 4
c4: 94
c0: 5
skew: 0.48
# Murphy_E = 1.537e-08
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 915001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 112924 x 113150
Total sieving time: 2.30 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,129.000,4,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,100000
total time: 2.34 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10132+259

c97

name 名前Dmitry Domanov
date 日付April 25, 2022 00:30:47 UTC 2022 年 4 月 25 日 (月) 9 時 30 分 47 秒 (日本時間)
composite number 合成数
1603026900747297524711673401174170778325619872394287181963781451736853006573288026946044880331563<97>
prime factors 素因数
131619412903652152245622415000433846930467<42>
12179258859942969834629280510276967168616712817926560089<56>
factorization results 素因数分解の結果
N=1603026900747297524711673401174170778325619872394287181963781451736853006573288026946044880331563
  ( 97 digits)
Divisors found:
p42 factor: 131619412903652152245622415000433846930467
p56 factor: 12179258859942969834629280510276967168616712817926560089
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 1.97 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1603026900747297524711673401174170778325619872394287181963781451736853006573288026946044880331563
skew: 430742.32
c0: 76032295721223148570879053
c1: 265210327774524841917
c2: -5315327896027042
c3: -3610530618
c4: 10980
Y0: -109922378205743657811790
Y1: 4612907406241
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
lss: 0
type: gnfs
Factor base limits: 1620000/1620000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 50/50
Sieved algebraic special-q in [810000, 1050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151185 x 151411
Total sieving time: 1.91 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,96,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1620000,1620000,25,25,50,50,2.5,2.5,60000
total time: 1.97 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10141+259

c104

name 名前Ignacio Santos
date 日付April 25, 2022 20:22:00 UTC 2022 年 4 月 26 日 (火) 5 時 22 分 0 秒 (日本時間)
composite number 合成数
41402104347698382841387647822359035187241623506050653809463283358878039821962650170381871749820664656163<104>
prime factors 素因数
151899748091550013389299895021953920927239647161873<51>
272562034288202538380036603824163236189510528874399731<54>
factorization results 素因数分解の結果
N=41402104347698382841387647822359035187241623506050653809463283358878039821962650170381871749820664656163
  ( 104 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=151899748091550013389299895021953920927239647161873 (pp51)
 r2=272562034288202538380036603824163236189510528874399731 (pp54)
Version: Msieve v. 1.52 (SVN 927)
Total time: 3.41 hours.
Scaled time: 26.96 units (timescale=7.905).
Factorization parameters were as follows:
n: 41402104347698382841387647822359035187241623506050653809463283358878039821962650170381871749820664656163
m: 10000000000000000000000000000
deg: 5
c5: 94
c0: 5
skew: 0.56
# Murphy_E = 4.185e-09
type: snfs
lss: 1
rlim: 1630000
alim: 1630000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1630000/1630000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [815000, 1515001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168862 x 169087
Total sieving time: 3.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1630000,1630000,26,26,48,48,2.3,2.3,100000
total time: 3.41 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10145+259

c127

name 名前Ignacio Santos
date 日付April 25, 2022 21:53:18 UTC 2022 年 4 月 26 日 (火) 6 時 53 分 18 秒 (日本時間)
composite number 合成数
5595268203322255771911796634421489084600121879675431107458622765303313932215089873214626049092726403073752263548843467324101683<127>
prime factors 素因数
20070833972507352701770888416706616525343440200442888077<56>
278776069344529874622430605009834964080575785205354607565899362361266879<72>
factorization results 素因数分解の結果
N=5595268203322255771911796634421489084600121879675431107458622765303313932215089873214626049092726403073752263548843467324101683
  ( 127 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=20070833972507352701770888416706616525343440200442888077 (pp56)
 r2=278776069344529874622430605009834964080575785205354607565899362361266879 (pp72)
Version: Msieve v. 1.52 (SVN 927)
Total time: 8.08 hours.
Scaled time: 63.65 units (timescale=7.874).
Factorization parameters were as follows:
n: 5595268203322255771911796634421489084600121879675431107458622765303313932215089873214626049092726403073752263548843467324101683
m: 1000000000000000000000000000000000000
deg: 4
c4: 94
c0: 5
skew: 0.48
# Murphy_E = 2.462e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 1750001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 251792 x 252020
Total sieving time: 8.04 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145.000,4,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 8.08 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10147+259

c134

name 名前Taiyo Kodama
date 日付April 27, 2022 02:44:50 UTC 2022 年 4 月 27 日 (水) 11 時 44 分 50 秒 (日本時間)
composite number 合成数
10799293489362397941052043306318593589887304198320240357647672101635802858792069446129452647820411514000141997834432951684788809904867<134>
prime factors 素因数
1385991182317539247008248756108268796834222119871042686679<58>
7791747615092844270691141724580595742806644613648347522908178752182436738773<76>
factorization results 素因数分解の結果
Wed Apr 27 11:43:53 2022  Msieve v. 1.53 (SVN unknown)
Wed Apr 27 11:43:53 2022  random seeds: 48c1bc64 4b99dc19
Wed Apr 27 11:43:53 2022  factoring 10799293489362397941052043306318593589887304198320240357647672101635802858792069446129452647820411514000141997834432951684788809904867 (134 digits)
Wed Apr 27 11:43:53 2022  searching for 15-digit factors
Wed Apr 27 11:43:53 2022  commencing number field sieve (134-digit input)
Wed Apr 27 11:43:53 2022  R0: -100000000000000000000000000000
Wed Apr 27 11:43:53 2022  R1: 1
Wed Apr 27 11:43:53 2022  A0: 1
Wed Apr 27 11:43:53 2022  A1: 0
Wed Apr 27 11:43:53 2022  A2: 0
Wed Apr 27 11:43:53 2022  A3: 0
Wed Apr 27 11:43:53 2022  A4: 0
Wed Apr 27 11:43:53 2022  A5: 188
Wed Apr 27 11:43:53 2022  skew 0.35, size 3.682e-10, alpha -0.383, combined = 2.590e-09 rroots = 1
Wed Apr 27 11:43:53 2022  
Wed Apr 27 11:43:53 2022  commencing square root phase
Wed Apr 27 11:43:53 2022  reading relations for dependency 1
Wed Apr 27 11:43:53 2022  read 109282 cycles
Wed Apr 27 11:43:54 2022  cycles contain 322814 unique relations
Wed Apr 27 11:43:56 2022  read 322814 relations
Wed Apr 27 11:43:57 2022  multiplying 322814 relations
Wed Apr 27 11:44:01 2022  multiply complete, coefficients have about 8.66 million bits
Wed Apr 27 11:44:01 2022  initial square root is modulo 94541
Wed Apr 27 11:44:06 2022  sqrtTime: 13
Wed Apr 27 11:44:06 2022  p58 factor: 1385991182317539247008248756108268796834222119871042686679
Wed Apr 27 11:44:06 2022  p76 factor: 7791747615092844270691141724580595742806644613648347522908178752182436738773
Wed Apr 27 11:44:06 2022  elapsed time 00:00:13
Wed Apr 27 11:44:06 2022 -> Computing time scale for this machine...
Wed Apr 27 11:44:06 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10149+259

c145

name 名前Taiyo Kodama
date 日付April 26, 2022 01:44:21 UTC 2022 年 4 月 26 日 (火) 10 時 44 分 21 秒 (日本時間)
composite number 合成数
2542155152596919665192757562235473882060227441753546171216853947777642556759022622476437737481914188741497978445769610428244966397576839343907617<145>
prime factors 素因数
155127220781071614116146424741828951<36>
16387550423433548313131487611217642403884305364947618347878298755789170200658319884054307843006607677592912967<110>
factorization results 素因数分解の結果
Tue Apr 26 10:41:42 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 26 10:41:42 2022  random seeds: 55a721c0 2bf94968
Tue Apr 26 10:41:42 2022  factoring 2542155152596919665192757562235473882060227441753546171216853947777642556759022622476437737481914188741497978445769610428244966397576839343907617 (145 digits)
Tue Apr 26 10:41:42 2022  searching for 15-digit factors
Tue Apr 26 10:41:42 2022  commencing number field sieve (145-digit input)
Tue Apr 26 10:41:42 2022  R0: -100000000000000000000000000000
Tue Apr 26 10:41:42 2022  R1: 1
Tue Apr 26 10:41:42 2022  A0: 1
Tue Apr 26 10:41:42 2022  A1: 0
Tue Apr 26 10:41:42 2022  A2: 0
Tue Apr 26 10:41:42 2022  A3: 0
Tue Apr 26 10:41:42 2022  A4: 0
Tue Apr 26 10:41:42 2022  A5: 18800
Tue Apr 26 10:41:42 2022  skew 0.14, size 1.815e-10, alpha -1.023, combined = 1.747e-09 rroots = 1
Tue Apr 26 10:41:42 2022  
Tue Apr 26 10:41:42 2022  commencing square root phase
Tue Apr 26 10:41:42 2022  reading relations for dependency 1
Tue Apr 26 10:41:42 2022  read 117997 cycles
Tue Apr 26 10:41:42 2022  cycles contain 345354 unique relations
Tue Apr 26 10:41:45 2022  read 345354 relations
Tue Apr 26 10:41:46 2022  multiplying 345354 relations
Tue Apr 26 10:41:52 2022  multiply complete, coefficients have about 11.64 million bits
Tue Apr 26 10:41:52 2022  initial square root is modulo 4919381
Tue Apr 26 10:41:59 2022  GCD is 1, no factor found
Tue Apr 26 10:41:59 2022  reading relations for dependency 2
Tue Apr 26 10:41:59 2022  read 118026 cycles
Tue Apr 26 10:41:59 2022  cycles contain 345336 unique relations
Tue Apr 26 10:42:03 2022  read 345336 relations
Tue Apr 26 10:42:04 2022  multiplying 345336 relations
Tue Apr 26 10:42:09 2022  multiply complete, coefficients have about 11.64 million bits
Tue Apr 26 10:42:09 2022  initial square root is modulo 4915891
Tue Apr 26 10:42:16 2022  GCD is N, no factor found
Tue Apr 26 10:42:16 2022  reading relations for dependency 3
Tue Apr 26 10:42:16 2022  read 118113 cycles
Tue Apr 26 10:42:16 2022  cycles contain 345076 unique relations
Tue Apr 26 10:42:19 2022  read 345076 relations
Tue Apr 26 10:42:20 2022  multiplying 345076 relations
Tue Apr 26 10:42:26 2022  multiply complete, coefficients have about 11.63 million bits
Tue Apr 26 10:42:26 2022  initial square root is modulo 4851151
Tue Apr 26 10:42:32 2022  GCD is N, no factor found
Tue Apr 26 10:42:32 2022  reading relations for dependency 4
Tue Apr 26 10:42:32 2022  read 117642 cycles
Tue Apr 26 10:42:33 2022  cycles contain 345144 unique relations
Tue Apr 26 10:42:36 2022  read 345144 relations
Tue Apr 26 10:42:36 2022  multiplying 345144 relations
Tue Apr 26 10:42:42 2022  multiply complete, coefficients have about 11.64 million bits
Tue Apr 26 10:42:42 2022  initial square root is modulo 4867921
Tue Apr 26 10:42:49 2022  sqrtTime: 67
Tue Apr 26 10:42:49 2022  p36 factor: 155127220781071614116146424741828951
Tue Apr 26 10:42:49 2022  p110 factor: 16387550423433548313131487611217642403884305364947618347878298755789170200658319884054307843006607677592912967
Tue Apr 26 10:42:49 2022  elapsed time 00:01:07
Tue Apr 26 10:42:49 2022 -> Computing time scale for this machine...
Tue Apr 26 10:42:49 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10152+259

c147

name 名前Bob Backstrom
date 日付April 28, 2022 18:00:09 UTC 2022 年 4 月 29 日 (金) 3 時 0 分 9 秒 (日本時間)
composite number 合成数
896942285580698565369440031297560603241396749061311730382965730125333371501090166554548880969079345995486662754471591261492073034002700368795950401<147>
prime factors 素因数
231754504095197880834318142113385069<36>
486273348479309450236328738567762482188660997637<48>
7958951314317344476255333055076614573340488714271648695015792417<64>
factorization results 素因数分解の結果
Number: n
N=896942285580698565369440031297560603241396749061311730382965730125333371501090166554548880969079345995486662754471591261492073034002700368795950401  ( 147 digits)
SNFS difficulty: 152 digits.
Divisors found:

Fri Apr 29 03:53:23 2022  found factor: 231754504095197880834318142113385069
Fri Apr 29 03:53:35 2022  p36 factor: 231754504095197880834318142113385069
Fri Apr 29 03:53:35 2022  p48 factor: 486273348479309450236328738567762482188660997637
Fri Apr 29 03:53:35 2022  p64 factor: 7958951314317344476255333055076614573340488714271648695015792417
Fri Apr 29 03:53:35 2022  elapsed time 00:04:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.341).
Factorization parameters were as follows:
#
# N = 47x10^152+25 = 52(151)5
#
n: 896942285580698565369440031297560603241396749061311730382965730125333371501090166554548880969079345995486662754471591261492073034002700368795950401
m: 1000000000000000000000000000000
deg: 5
c5: 188
c0: 1
skew: 0.35
# Murphy_E = 1.674e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved  special-q in [100000, 6800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1252247 hash collisions in 14920078 relations (14687425 unique)
Msieve: matrix is 267289 x 267516 (88.8 MB)

Sieving start time : 2022/04/29 03:35:15
Sieving end time  : 2022/04/29 03:48:25

Total sieving time: 0hrs 13min 10secs.

Total relation processing time: 0hrs 1min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,50,50,2.4,2.4,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10153+259

c148

name 名前Taiyo Kodama
date 日付April 26, 2022 12:44:31 UTC 2022 年 4 月 26 日 (火) 21 時 44 分 31 秒 (日本時間)
composite number 合成数
3785110422543151265495295792286025493121367149670916862465596768965315905718536772951761989035259914271275642613095274048034661947358778134141897347<148>
prime factors 素因数
824897062934097496804089864740191528817378090557866014803349894711<66>
4588585161256114829626545443533321095820549076541655650058945661668721915366598677<82>
factorization results 素因数分解の結果
Tue Apr 26 21:34:03 2022  Msieve v. 1.53 (SVN unknown)
Tue Apr 26 21:34:03 2022  random seeds: 99e20150 a583681f
Tue Apr 26 21:34:03 2022  factoring 3785110422543151265495295792286025493121367149670916862465596768965315905718536772951761989035259914271275642613095274048034661947358778134141897347 (148 digits)
Tue Apr 26 21:34:03 2022  searching for 15-digit factors
Tue Apr 26 21:34:04 2022  commencing number field sieve (148-digit input)
Tue Apr 26 21:34:04 2022  R0: -1000000000000000000000000000000
Tue Apr 26 21:34:04 2022  R1: 1
Tue Apr 26 21:34:04 2022  A0: 1
Tue Apr 26 21:34:04 2022  A1: 0
Tue Apr 26 21:34:04 2022  A2: 0
Tue Apr 26 21:34:04 2022  A3: 0
Tue Apr 26 21:34:04 2022  A4: 0
Tue Apr 26 21:34:04 2022  A5: 1880
Tue Apr 26 21:34:04 2022  skew 0.22, size 1.319e-10, alpha -0.986, combined = 1.448e-09 rroots = 1
Tue Apr 26 21:34:04 2022  
Tue Apr 26 21:34:04 2022  commencing square root phase
Tue Apr 26 21:34:04 2022  reading relations for dependency 1
Tue Apr 26 21:34:04 2022  read 218027 cycles
Tue Apr 26 21:34:04 2022  cycles contain 778440 unique relations
Tue Apr 26 21:34:10 2022  read 778440 relations
Tue Apr 26 21:34:12 2022  multiplying 778440 relations
Tue Apr 26 21:34:25 2022  multiply complete, coefficients have about 24.03 million bits
Tue Apr 26 21:34:25 2022  initial square root is modulo 7962161
Tue Apr 26 21:34:41 2022  sqrtTime: 37
Tue Apr 26 21:34:41 2022  p66 factor: 824897062934097496804089864740191528817378090557866014803349894711
Tue Apr 26 21:34:41 2022  p82 factor: 4588585161256114829626545443533321095820549076541655650058945661668721915366598677
Tue Apr 26 21:34:41 2022  elapsed time 00:00:38
Tue Apr 26 21:34:41 2022 -> Computing time scale for this machine...
Tue Apr 26 21:34:41 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10160+259

c118

name 名前ebina
date 日付May 2, 2022 05:28:52 UTC 2022 年 5 月 2 日 (月) 14 時 28 分 52 秒 (日本時間)
composite number 合成数
2694789751364431332332734004439779149587437243266320815631219379708511028464409303329030139314870224748404908731425891<118>
prime factors 素因数
1088264359748977637117559183757024894162220801713879<52>
2476227147589414507660873269498318935158353580537170161006995724629<67>
factorization results 素因数分解の結果
Mon May  2 14:13:14 2022  Msieve v. 1.53 (SVN unknown)
Mon May  2 14:13:14 2022  random seeds: 3a8b72a0 7f18c4f5
Mon May  2 14:13:14 2022  factoring 2694789751364431332332734004439779149587437243266320815631219379708511028464409303329030139314870224748404908731425891 (118 digits)
Mon May  2 14:13:15 2022  searching for 15-digit factors
Mon May  2 14:13:17 2022  commencing number field sieve (118-digit input)
Mon May  2 14:13:17 2022  R0: -100000000000000000000000000000000
Mon May  2 14:13:17 2022  R1: 1
Mon May  2 14:13:17 2022  A0: 25
Mon May  2 14:13:17 2022  A1: 0
Mon May  2 14:13:17 2022  A2: 0
Mon May  2 14:13:17 2022  A3: 0
Mon May  2 14:13:17 2022  A4: 0
Mon May  2 14:13:17 2022  A5: 47
Mon May  2 14:13:17 2022  skew 0.88, size 3.217e-11, alpha -0.434, combined = 6.427e-10 rroots = 1
Mon May  2 14:13:17 2022  
Mon May  2 14:13:17 2022  commencing square root phase
Mon May  2 14:13:17 2022  reading relations for dependency 1
Mon May  2 14:13:17 2022  read 305052 cycles
Mon May  2 14:13:18 2022  cycles contain 1067166 unique relations
Mon May  2 14:13:44 2022  read 1067166 relations
Mon May  2 14:13:52 2022  multiplying 1067166 relations
Mon May  2 14:14:37 2022  multiply complete, coefficients have about 28.66 million bits
Mon May  2 14:14:37 2022  initial square root is modulo 169615321
Mon May  2 14:15:42 2022  GCD is N, no factor found
Mon May  2 14:15:42 2022  reading relations for dependency 2
Mon May  2 14:15:42 2022  read 304572 cycles
Mon May  2 14:15:43 2022  cycles contain 1066182 unique relations
Mon May  2 14:16:06 2022  read 1066182 relations
Mon May  2 14:16:13 2022  multiplying 1066182 relations
Mon May  2 14:17:03 2022  multiply complete, coefficients have about 28.63 million bits
Mon May  2 14:17:04 2022  initial square root is modulo 166916791
Mon May  2 14:18:15 2022  sqrtTime: 298
Mon May  2 14:18:15 2022  p52 factor: 1088264359748977637117559183757024894162220801713879
Mon May  2 14:18:15 2022  p67 factor: 2476227147589414507660873269498318935158353580537170161006995724629
Mon May  2 14:18:15 2022  elapsed time 00:05:01

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62078Taiyo KodamaMay 1, 2022 07:51:43 UTC 2022 年 5 月 1 日 (日) 16 時 51 分 43 秒 (日本時間)

47×10162+259

c141

name 名前Taiyo Kodama
date 日付May 1, 2022 09:26:29 UTC 2022 年 5 月 1 日 (日) 18 時 26 分 29 秒 (日本時間)
composite number 合成数
267229366757188637382901726724533869014248889262932699294323726253103789547192456289414248717636904153002532079293692704191167824351943373633<141>
prime factors 素因数
27898210047623770897593753966157<32>
3763665360175215234135353628010892659437791367144913<52>
2545053058666118129964270097574947086367788284964886124213<58>
factorization results 素因数分解の結果
Sun May  1 18:13:50 2022  Msieve v. 1.53 (SVN unknown)
Sun May  1 18:13:50 2022  random seeds: 55ca0de0 a3afcfc0
Sun May  1 18:13:50 2022  factoring 267229366757188637382901726724533869014248889262932699294323726253103789547192456289414248717636904153002532079293692704191167824351943373633 (141 digits)
Sun May  1 18:13:50 2022  searching for 15-digit factors
Sun May  1 18:13:51 2022  commencing number field sieve (141-digit input)
Sun May  1 18:13:51 2022  R0: -100000000000000000000000000000000
Sun May  1 18:13:51 2022  R1: 1
Sun May  1 18:13:51 2022  A0: 1
Sun May  1 18:13:51 2022  A1: 0
Sun May  1 18:13:51 2022  A2: 0
Sun May  1 18:13:51 2022  A3: 0
Sun May  1 18:13:51 2022  A4: 0
Sun May  1 18:13:51 2022  A5: 188
Sun May  1 18:13:51 2022  skew 0.35, size 3.682e-11, alpha -0.383, combined = 6.893e-10 rroots = 1
Sun May  1 18:13:51 2022  
Sun May  1 18:13:51 2022  commencing square root phase
Sun May  1 18:13:51 2022  reading relations for dependency 1
Sun May  1 18:13:51 2022  read 258708 cycles
Sun May  1 18:13:51 2022  cycles contain 867904 unique relations
Sun May  1 18:13:59 2022  read 867904 relations
Sun May  1 18:14:01 2022  multiplying 867904 relations
Sun May  1 18:14:14 2022  multiply complete, coefficients have about 24.46 million bits
Sun May  1 18:14:14 2022  initial square root is modulo 10583491
Sun May  1 18:14:29 2022  found factor: 3763665360175215234135353628010892659437791367144913
Sun May  1 18:14:29 2022  reading relations for dependency 2
Sun May  1 18:14:30 2022  read 258298 cycles
Sun May  1 18:14:30 2022  cycles contain 867262 unique relations
Sun May  1 18:14:37 2022  read 867262 relations
Sun May  1 18:14:39 2022  multiplying 867262 relations
Sun May  1 18:14:52 2022  multiply complete, coefficients have about 24.44 million bits
Sun May  1 18:14:53 2022  initial square root is modulo 10465501
Sun May  1 18:15:08 2022  GCD is N, no factor found
Sun May  1 18:15:08 2022  reading relations for dependency 3
Sun May  1 18:15:08 2022  read 258657 cycles
Sun May  1 18:15:09 2022  cycles contain 868108 unique relations
Sun May  1 18:15:16 2022  read 868108 relations
Sun May  1 18:15:18 2022  multiplying 868108 relations
Sun May  1 18:15:31 2022  multiply complete, coefficients have about 24.47 million bits
Sun May  1 18:15:31 2022  initial square root is modulo 10643771
Sun May  1 18:15:47 2022  GCD is N, no factor found
Sun May  1 18:15:47 2022  reading relations for dependency 4
Sun May  1 18:15:47 2022  read 258964 cycles
Sun May  1 18:15:47 2022  cycles contain 869104 unique relations
Sun May  1 18:15:55 2022  read 869104 relations
Sun May  1 18:15:57 2022  multiplying 869104 relations
Sun May  1 18:16:11 2022  multiply complete, coefficients have about 24.50 million bits
Sun May  1 18:16:11 2022  initial square root is modulo 10843241
Sun May  1 18:16:26 2022  Newton iteration failed to converge
Sun May  1 18:16:26 2022  algebraic square root failed
Sun May  1 18:16:26 2022  reading relations for dependency 5
Sun May  1 18:16:26 2022  read 258711 cycles
Sun May  1 18:16:27 2022  cycles contain 868204 unique relations
Sun May  1 18:16:34 2022  read 868204 relations
Sun May  1 18:16:36 2022  multiplying 868204 relations
Sun May  1 18:16:49 2022  multiply complete, coefficients have about 24.47 million bits
Sun May  1 18:16:49 2022  initial square root is modulo 10659371
Sun May  1 18:17:05 2022  GCD is 1, no factor found
Sun May  1 18:17:05 2022  reading relations for dependency 6
Sun May  1 18:17:05 2022  read 259219 cycles
Sun May  1 18:17:05 2022  cycles contain 868808 unique relations
Sun May  1 18:17:13 2022  read 868808 relations
Sun May  1 18:17:15 2022  multiplying 868808 relations
Sun May  1 18:17:28 2022  multiply complete, coefficients have about 24.48 million bits
Sun May  1 18:17:28 2022  initial square root is modulo 10765031
Sun May  1 18:17:44 2022  found factor: 3763665360175215234135353628010892659437791367144913
Sun May  1 18:17:44 2022  reading relations for dependency 7
Sun May  1 18:17:44 2022  read 258479 cycles
Sun May  1 18:17:44 2022  cycles contain 867462 unique relations
Sun May  1 18:17:51 2022  read 867462 relations
Sun May  1 18:17:54 2022  multiplying 867462 relations
Sun May  1 18:18:07 2022  multiply complete, coefficients have about 24.45 million bits
Sun May  1 18:18:07 2022  initial square root is modulo 10507051
Sun May  1 18:18:23 2022  sqrtTime: 272
Sun May  1 18:18:23 2022  p32 factor: 27898210047623770897593753966157
Sun May  1 18:18:23 2022  p52 factor: 3763665360175215234135353628010892659437791367144913
Sun May  1 18:18:23 2022  p58 factor: 2545053058666118129964270097574947086367788284964886124213
Sun May  1 18:18:23 2022  elapsed time 00:04:33
Sun May 01 18:18:23 2022 -> Computing time scale for this machine...
Sun May 01 18:18:23 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10165+259

c148

name 名前Bob Backstrom
date 日付April 27, 2022 14:51:32 UTC 2022 年 4 月 27 日 (水) 23 時 51 分 32 秒 (日本時間)
composite number 合成数
8052045487921272477542308036334026647387009848081650742086462911557760435852592493785961963618098031307353900351230231957353980743496607606863403689<148>
prime factors 素因数
4168852192819723792836767997523207716415834354016366526834712988531303<70>
1931477806238805159449556852337044451014626371972078965071013618643937751857263<79>
factorization results 素因数分解の結果
Number: n
N=8052045487921272477542308036334026647387009848081650742086462911557760435852592493785961963618098031307353900351230231957353980743496607606863403689  ( 148 digits)
SNFS difficulty: 166 digits.
Divisors found:

Thu Apr 28 00:43:37 2022  p70 factor: 4168852192819723792836767997523207716415834354016366526834712988531303
Thu Apr 28 00:43:37 2022  p79 factor: 1931477806238805159449556852337044451014626371972078965071013618643937751857263
Thu Apr 28 00:43:37 2022  elapsed time 00:07:24 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.329).
Factorization parameters were as follows:
#
# N = 47x10^165+25 = 52(164)5
#
n: 8052045487921272477542308036334026647387009848081650742086462911557760435852592493785961963618098031307353900351230231957353980743496607606863403689
m: 1000000000000000000000000000000000
deg: 5
c5: 47
c0: 25
skew: 0.88
# Murphy_E = 4.097e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1520789 hash collisions in 14527071 relations (13911730 unique)
Msieve: matrix is 475518 x 475744 (162.2 MB)

Sieving start time : 2022/04/27 23:52:46
Sieving end time  : 2022/04/28 00:35:44

Total sieving time: 0hrs 42min 58secs.

Total relation processing time: 0hrs 3min 36sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 24sec.

Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10166+259

c122

name 名前Taiyo Kodama
date 日付May 1, 2022 06:46:19 UTC 2022 年 5 月 1 日 (日) 15 時 46 分 19 秒 (日本時間)
composite number 合成数
17124246555965268165636123488479890600117038816113252626338593230426431447698583624554882226208357982103147410497977971957<122>
prime factors 素因数
274482085542430568925873055148900593<36>
62387483402147684975344356069070888973754126360306701943007698014140757016335575905349<86>
factorization results 素因数分解の結果
17124246555965268165636123488479890600117038816113252626338593230426431447698583624554882226208357982103147410497977971957

Using B1=3000000, B2=5706890290, polynomial Dickson(6), 2 threads
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

Run 874 out of 2078:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3055538306
Step 1 took 3157ms
Step 2 took 1828ms
********** Factor found in step 2: 274482085542430568925873055148900593
Found prime factor of 36 digits: 274482085542430568925873055148900593

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10167+259

c106

name 名前Eric Jeancolas
date 日付April 25, 2022 14:03:00 UTC 2022 年 4 月 25 日 (月) 23 時 3 分 0 秒 (日本時間)
composite number 合成数
7637670500949374817578112828777482265564770769840297766716515397746563820983430457457247313582693150239527<106>
prime factors 素因数
140488031488442751372187245014489204012575606934707<51>
54365275248217054136325001538577071940719651144142883261<56>
factorization results 素因数分解の結果
7637670500949374817578112828777482265564770769840297766716515397746563820983430457457247313582693150239527=140488031488442751372187245014489204012575606934707*54365275248217054136325001538577071940719651144142883261

cado polynomial
n: 7637670500949374817578112828777482265564770769840297766716515397746563820983430457457247313582693150239527
skew: 8690.045
c0: -29485004461694516900715
c1: 22505603113437982640
c2: -26756728612882734
c3: -523282937852
c4: 186196077
c5: 4860
Y0: -340979500981453450244
Y1: 203563723936513
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.976e-06
# f(x) = 4860*x^5+186196077*x^4-523282937852*x^3-26756728612882734*x^2+22505603113437982640*x-29485004461694516900715
# g(x) = 203563723936513*x-340979500981453450244

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: 140488031488442751372187245014489204012575606934707 54365275248217054136325001538577071940719651144142883261
Info:Square Root: Total cpu/real time for sqrt: 67.98/20.5843
Info:Filtering - Singleton removal: Total cpu/real time for purge: 50.66/58.3349
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5152658
Info:Lattice Sieving: Average J: 1902.29 for 64478 special-q, max bucket fill -bkmult 1.0,1s:1.335790
Info:Lattice Sieving: Total time: 5800.31s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.405399
Info:Linear Algebra: Total cpu/real time for bwc: 698.64/181.81
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 415.59, WCT time 106.69, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7552 iterations)
Info:Linear Algebra: Lingen CPU time 33.19, WCT time 8.51
Info:Linear Algebra: Mksol: CPU time 231.95,  WCT time 59.59, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3840 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 62.72/16.5352
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.34/19.7365
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.1s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 136.84
Info:Polynomial Selection (root optimized): Rootsieve time: 136.21
Info:Filtering - Merging: Merged matrix has 239552 rows and total weight 34791373 (145.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.9/9.48945
Info:Filtering - Merging: Total cpu/real time for replay: 7.56/6.0176
Info:Quadratic Characters: Total cpu/real time for characters: 9.05/3.45202
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): 14025/30.930/37.575/45.060/0.942
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 11662/29.150/33.242/37.950/0.783
Info:Polynomial Selection (size optimized): Total time: 553.12
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 71.56/78.285
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 54.6s
Info:Square Root: Total cpu/real time for sqrt: 67.98/20.5843
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12119.6/3443.58
Info:root: Cleaning up computation data in /tmp/cado.7tr_o10p
140488031488442751372187245014489204012575606934707 54365275248217054136325001538577071940719651144142883261
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10168+259

c136

name 名前Ignacio Santos
date 日付April 28, 2022 17:42:49 UTC 2022 年 4 月 29 日 (金) 2 時 42 分 49 秒 (日本時間)
composite number 合成数
2320642718554995754435082410657067644139811063904543127975870519719825813665511445528861505878868640951070915310371615156087517643305227<136>
prime factors 素因数
51877915179388318560384469689671<32>
44732767508687652664896147303257166537434811895872996052735998098150233626331335249129146141985094289437<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2049527586
Step 1 took 5844ms
********** Factor found in step 1: 51877915179388318560384469689671
Found prime factor of 32 digits: 51877915179388318560384469689671
Prime cofactor 44732767508687652664896147303257166537434811895872996052735998098150233626331335249129146141985094289437 has 104 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10170+259

c161

name 名前Bob Backstrom
date 日付April 27, 2022 06:56:40 UTC 2022 年 4 月 27 日 (水) 15 時 56 分 40 秒 (日本時間)
composite number 合成数
20351755328834901064391250266956978697318754540899481119732711148043138395098227680518400760447581419410175760988237166392534097469172437613384696578143122573373<161>
prime factors 素因数
1427743044500302584705690217433714852049597462078536922634995812538847248323<76>
14254494467495609552155685725185535730263263395784502938482857245688384890988921444351<86>
factorization results 素因数分解の結果
Number: n
N=20351755328834901064391250266956978697318754540899481119732711148043138395098227680518400760447581419410175760988237166392534097469172437613384696578143122573373  ( 161 digits)
SNFS difficulty: 171 digits.
Divisors found:

Wed Apr 27 16:52:52 2022  p76 factor: 1427743044500302584705690217433714852049597462078536922634995812538847248323
Wed Apr 27 16:52:52 2022  p86 factor: 14254494467495609552155685725185535730263263395784502938482857245688384890988921444351
Wed Apr 27 16:52:52 2022  elapsed time 00:09:11 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 47x10^170+25 = 52(169)5
#
n: 20351755328834901064391250266956978697318754540899481119732711148043138395098227680518400760447581419410175760988237166392534097469172437613384696578143122573373
m: 10000000000000000000000000000000000
deg: 5
c5: 47
c0: 25
skew: 0.88
# Murphy_E = 2.6e-10
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1616466 hash collisions in 14627396 relations (13900828 unique)
Msieve: matrix is 581537 x 581763 (200.1 MB)

Sieving start time : 2022/04/27 16:01:14
Sieving end time  : 2022/04/27 16:43:10

Total sieving time: 0hrs 41min 56secs.

Total relation processing time: 0hrs 5min 6sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 33sec.

Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10172+259

c161

name 名前Bob Backstrom
date 日付April 26, 2022 20:16:09 UTC 2022 年 4 月 27 日 (水) 5 時 16 分 9 秒 (日本時間)
composite number 合成数
83845718283013363124859125008083063405834380871845224770808328815562020207878763462257896284936374119702979226580595653406828011905285953402965352498916919265829<161>
prime factors 素因数
265992618723194930900683559910325697576495237<45>
315218214270326661610561577727415162604720389886895517351803213960786300870435383870054839061067740036096184194096417<117>
factorization results 素因数分解の結果
Number: n
N=83845718283013363124859125008083063405834380871845224770808328815562020207878763462257896284936374119702979226580595653406828011905285953402965352498916919265829  ( 161 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Apr 27 06:12:10 2022  p45 factor: 265992618723194930900683559910325697576495237
Wed Apr 27 06:12:10 2022  p117 factor: 315218214270326661610561577727415162604720389886895517351803213960786300870435383870054839061067740036096184194096417
Wed Apr 27 06:12:10 2022  elapsed time 00:10:49 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.332).
Factorization parameters were as follows:
#
# N = 47x10^172+25 = 52(171)5
#
n: 83845718283013363124859125008083063405834380871845224770808328815562020207878763462257896284936374119702979226580595653406828011905285953402965352498916919265829
m: 10000000000000000000000000000000000
deg: 5
c5: 188
c0: 1
skew: 0.35
# Murphy_E = 2.783e-10
type: snfs
lss: 1
rlim: 5200000
alim: 5200000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5200000/5200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1698369 hash collisions in 14957739 relations (14164977 unique)
Msieve: matrix is 596858 x 597083 (205.3 MB)

Sieving start time : 2022/04/27 05:08:41
Sieving end time  : 2022/04/27 06:00:53

Total sieving time: 0hrs 52min 12secs.

Total relation processing time: 0hrs 5min 23sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 49sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10173+259

c116

name 名前Eric Jeancolas
date 日付April 26, 2022 10:09:47 UTC 2022 年 4 月 26 日 (火) 19 時 9 分 47 秒 (日本時間)
composite number 合成数
42608537538433519625041918885924815868190409646447648111610596822607453529375818808622268539507991862698550476750029<116>
prime factors 素因数
8424529614227248617855223654718303697052147369<46>
5057675560481942160618091204829083190579690362029083930719196286859141<70>
factorization results 素因数分解の結果
42608537538433519625041918885924815868190409646447648111610596822607453529375818808622268539507991862698550476750029=8424529614227248617855223654718303697052147369*5057675560481942160618091204829083190579690362029083930719196286859141

cado polynomial
n: 42608537538433519625041918885924815868190409646447648111610596822607453529375818808622268539507991862698550476750029
skew: 6517.779
c0: 4204796889706061748648252
c1: -1726827631611784126090
c2: -333979603462568871
c3: -54327532851287
c4: 2585408628
c5: 596160
Y0: -15470569898304049668440
Y1: 658435880948048909
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 9.769e-07
# f(x) = 596160*x^5+2585408628*x^4-54327532851287*x^3-333979603462568871*x^2-1726827631611784126090*x+4204796889706061748648252
# g(x) = 658435880948048909*x-15470569898304049668440

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

cado log (extracts)
Info:Square Root: Factors: 5057675560481942160618091204829083190579690362029083930719196286859141 8424529614227248617855223654718303697052147369
Info:Square Root: Total cpu/real time for sqrt: 151.17/45.3016
Info:Filtering - Singleton removal: Total cpu/real time for purge: 101.13/116.699
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7431505
Info:Lattice Sieving: Average J: 1893.85 for 177524 special-q, max bucket fill -bkmult 1.0,1s:1.266150
Info:Lattice Sieving: Total time: 19688.1s
Info:Generate Factor Base: Total cpu/real time for makefb: 4.05/1.10848
Info:Linear Algebra: Total cpu/real time for bwc: 2694.44/695.97
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1664.68, WCT time 426.64, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 73.26, WCT time 18.68
Info:Linear Algebra: Mksol: CPU time 918.44,  WCT time 234.97, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 64.13/17.0855
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 29.9/32.2857
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 31.4s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 314.09
Info:Polynomial Selection (root optimized): Rootsieve time: 312.98
Info:Filtering - Merging: Merged matrix has 459383 rows and total weight 71717946 (156.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 75.88/22.421
Info:Filtering - Merging: Total cpu/real time for replay: 15.56/12.6079
Info:Quadratic Characters: Total cpu/real time for characters: 16.7/6.52723
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21772/33.710/41.288/46.370/1.073
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 17261/31.600/36.529/41.730/0.844
Info:Polynomial Selection (size optimized): Total time: 1798.19
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 128.79/142.409
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 102.79999999999998s
Info:Square Root: Total cpu/real time for sqrt: 151.17/45.3016
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 41562.5/11371.8
Info:root: Cleaning up computation data in /tmp/cado.re8f9yxn
5057675560481942160618091204829083190579690362029083930719196286859141 8424529614227248617855223654718303697052147369
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:07:34 UTC 2022 年 4 月 26 日 (火) 2 時 7 分 34 秒 (日本時間)

47×10177+259

c141

name 名前Bob Backstrom
date 日付June 15, 2022 12:16:53 UTC 2022 年 6 月 15 日 (水) 21 時 16 分 53 秒 (日本時間)
composite number 合成数
587037958202628032035607305764603237130027870736601772875535494880535218310685191155941023714848215437310067760275249304642025583165236853789<141>
prime factors 素因数
100744138771398264162346653681977135069995731402722860133<57>
5827018478312614999230401824082413940235448940015276005599963177859875460765621311833<85>
factorization results 素因数分解の結果
Number: n
N=587037958202628032035607305764603237130027870736601772875535494880535218310685191155941023714848215437310067760275249304642025583165236853789  ( 141 digits)
SNFS difficulty: 177 digits.
Divisors found:

Wed Jun 15 22:12:46 2022  p57 factor: 100744138771398264162346653681977135069995731402722860133
Wed Jun 15 22:12:46 2022  p85 factor: 5827018478312614999230401824082413940235448940015276005599963177859875460765621311833
Wed Jun 15 22:12:46 2022  elapsed time 00:16:16 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.319).
Factorization parameters were as follows:
#
# N = 47x10^177+25 = 52(176)5
#
n: 587037958202628032035607305764603237130027870736601772875535494880535218310685191155941023714848215437310067760275249304642025583165236853789
m: 100000000000000000000000000000000000
deg: 5
c5: 188
c0: 1
skew: 0.35
# Murphy_E = 1.756e-10
type: snfs
lss: 1
rlim: 6300000
alim: 6300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6300000/6300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 23150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3223034 hash collisions in 28539620 relations (26991192 unique)
Msieve: matrix is 781051 x 781284 (265.0 MB)

Sieving start time : 2022/06/15 19:42:28
Sieving end time  : 2022/06/15 21:55:29

Total sieving time: 2hrs 13min 1secs.

Total relation processing time: 0hrs 8min 53sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 44sec.

Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,6300000,6300000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 18:52:11 UTC 2022 年 4 月 29 日 (金) 3 時 52 分 11 秒 (日本時間)

47×10178+259

c166

name 名前Bob Backstrom
date 日付April 27, 2022 06:03:11 UTC 2022 年 4 月 27 日 (水) 15 時 3 分 11 秒 (日本時間)
composite number 合成数
2370360387418392788093681844885460433363833214475734683357642674022841128103445274585896263023679538599082752663384321836577843064075654901827435854241430046728057339<166>
prime factors 素因数
5282958989185691373020762225759485594404786436383568914614120637302749<70>
448680444476393170863453493717423393445333875989622183708085973494810695161607903376213571497911<96>
factorization results 素因数分解の結果
Number: n
N=2370360387418392788093681844885460433363833214475734683357642674022841128103445274585896263023679538599082752663384321836577843064075654901827435854241430046728057339  ( 166 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Apr 27 15:59:34 2022  p70 factor: 5282958989185691373020762225759485594404786436383568914614120637302749
Wed Apr 27 15:59:34 2022  p96 factor: 448680444476393170863453493717423393445333875989622183708085973494810695161607903376213571497911
Wed Apr 27 15:59:34 2022  elapsed time 00:17:40 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 47x10^178+25 = 52(177)5
#
n: 2370360387418392788093681844885460433363833214475734683357642674022841128103445274585896263023679538599082752663384321836577843064075654901827435854241430046728057339
m: 100000000000000000000000000000000000
deg: 5
c5: 1880
c0: 1
skew: 0.22
# Murphy_E = 1.515e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4381634 hash collisions in 32624446 relations (30041699 unique)
Msieve: matrix is 780613 x 780838 (265.6 MB)

Sieving start time : 2022/04/27 14:15:47
Sieving end time  : 2022/04/27 15:41:25

Total sieving time: 1hrs 25min 38secs.

Total relation processing time: 0hrs 8min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 31sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,28,28,53,53,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10179+259

c160

name 名前Bob Backstrom
date 日付April 28, 2022 10:49:06 UTC 2022 年 4 月 28 日 (木) 19 時 49 分 6 秒 (日本時間)
composite number 合成数
2088263031550950278147462479660808944495732111331412376308640621333635642721170496677995104495469843021949632382679110945627525289624193010791848908793401867689<160>
prime factors 素因数
23614887313649972142768752122336235263253085505489433565314311<62>
88429938445816088301861910432521861614996176158460586878946773531166235716376278771408128600961999<98>
factorization results 素因数分解の結果
Number: n
N=2088263031550950278147462479660808944495732111331412376308640621333635642721170496677995104495469843021949632382679110945627525289624193010791848908793401867689  ( 160 digits)
SNFS difficulty: 179 digits.
Divisors found:

Thu Apr 28 20:44:55 2022  p62 factor: 23614887313649972142768752122336235263253085505489433565314311
Thu Apr 28 20:44:55 2022  p98 factor: 88429938445816088301861910432521861614996176158460586878946773531166235716376278771408128600961999
Thu Apr 28 20:44:55 2022  elapsed time 00:20:23 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
#
# N = 47x10^179+25 = 52(178)5
#
n: 2088263031550950278147462479660808944495732111331412376308640621333635642721170496677995104495469843021949632382679110945627525289624193010791848908793401867689
m: 100000000000000000000000000000000000
deg: 5
c5: 18800
c0: 1
skew: 0.14
# Murphy_E = 1.177e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4182672 hash collisions in 30631218 relations (28071335 unique)
Msieve: matrix is 866965 x 867191 (294.6 MB)

Sieving start time : 2022/04/28 18:25:00
Sieving end time  : 2022/04/28 20:23:44

Total sieving time: 1hrs 58min 44secs.

Total relation processing time: 0hrs 11min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 0sec.

Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10181+259

c163

name 名前Bob Backstrom
date 日付April 28, 2022 08:14:38 UTC 2022 年 4 月 28 日 (木) 17 時 14 分 38 秒 (日本時間)
composite number 合成数
1095969857189881073082435335920205569015719950124222560918904763400809470956559948450081699137922918862661265584355521239750440078591260415630214169391334140588713<163>
prime factors 素因数
913606055717660449400026760196328549<36>
1199608792357411957011374758964013149705588358184816411027470350076934438152662506244145357994072963172733587705945606487547637<127>
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 1095969857189881073082435335920205569015719950124222560918904763400809470956559948450081699137922918862661265584355521239750440078591260415630214169391334140588713 (163 digits)
Using B1=15880000, B2=58558142380, polynomial Dickson(12), sigma=1:3726729334
Step 1 took 38146ms
********** Factor found in step 1: 913606055717660449400026760196328549
Found prime factor of 36 digits: 913606055717660449400026760196328549
Prime cofactor 1199608792357411957011374758964013149705588358184816411027470350076934438152662506244145357994072963172733587705945606487547637 has 127 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10182+259

c175

name 名前Bob Backstrom
date 日付April 29, 2022 05:31:06 UTC 2022 年 4 月 29 日 (金) 14 時 31 分 6 秒 (日本時間)
composite number 合成数
2483413669784103772134959953435465305660866165283940243307698824112874110252655769843773069410394927632863324839926486199901405835380135139710314286699725393891534186784860249<175>
prime factors 素因数
1736772157180341916867097697331193456559952873<46>
1429901820752319060149887925973181339343692323096065861665268798903337970652871778811811812709139679830619243606136958003981507313<130>
factorization results 素因数分解の結果
Number: n
N=2483413669784103772134959953435465305660866165283940243307698824112874110252655769843773069410394927632863324839926486199901405835380135139710314286699725393891534186784860249  ( 175 digits)
SNFS difficulty: 182 digits.
Divisors found:

Fri Apr 29 15:27:33 2022  p46 factor: 1736772157180341916867097697331193456559952873
Fri Apr 29 15:27:33 2022  p130 factor: 1429901820752319060149887925973181339343692323096065861665268798903337970652871778811811812709139679830619243606136958003981507313
Fri Apr 29 15:27:33 2022  elapsed time 00:18:18 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.304).
Factorization parameters were as follows:
#
# N = 47x10^182+25 = 52(181)5
#
n: 2483413669784103772134959953435465305660866165283940243307698824112874110252655769843773069410394927632863324839926486199901405835380135139710314286699725393891534186784860249
m: 1000000000000000000000000000000000000
deg: 5
c5: 188
c0: 1
skew: 0.35
# Murphy_E = 1.103e-10
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 3381033 hash collisions in 32229638 relations (30912405 unique)
Msieve: matrix is 764771 x 764999 (259.0 MB)

Sieving start time : 2022/04/29 12:48:59
Sieving end time  : 2022/04/29 15:08:45

Total sieving time: 2hrs 19min 46secs.

Total relation processing time: 0hrs 8min 55sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10183+259

c171

name 名前Bob Backstrom
date 日付April 29, 2022 11:04:06 UTC 2022 年 4 月 29 日 (金) 20 時 4 分 6 秒 (日本時間)
composite number 合成数
360291298829377214775694035364336515171767423429249574182125517606930334256171843119271033973254050905145515397857639086681511495863372572938870902494922848973872162564853<171>
prime factors 素因数
442879639625613991108193261002137452901960555711081471855107<60>
813519671245098550134571993960958183867848370029395572482241152522304864726237945638372834184842323585272570279<111>
factorization results 素因数分解の結果
Number: n
N=360291298829377214775694035364336515171767423429249574182125517606930334256171843119271033973254050905145515397857639086681511495863372572938870902494922848973872162564853  ( 171 digits)
SNFS difficulty: 183 digits.
Divisors found:

Fri Apr 29 21:00:19 2022  p60 factor: 442879639625613991108193261002137452901960555711081471855107
Fri Apr 29 21:00:19 2022  p111 factor: 813519671245098550134571993960958183867848370029395572482241152522304864726237945638372834184842323585272570279
Fri Apr 29 21:00:19 2022  elapsed time 00:20:36 (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 = 47x10^183+25 = 52(182)5
#
n: 360291298829377214775694035364336515171767423429249574182125517606930334256171843119271033973254050905145515397857639086681511495863372572938870902494922848973872162564853
m: 1000000000000000000000000000000000000
deg: 5
c5: 1880
c0: 1
skew: 0.22
# Murphy_E = 9.512e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 9550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3222978 hash collisions in 30985940 relations (29721081 unique)
Msieve: matrix is 806784 x 807010 (274.7 MB)

Sieving start time : 2022/04/29 18:05:22
Sieving end time  : 2022/04/29 20:38:54

Total sieving time: 2hrs 33min 32secs.

Total relation processing time: 0hrs 9min 27sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116801] 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 28, 2022 19:52:49 UTC 2022 年 4 月 29 日 (金) 4 時 52 分 49 秒 (日本時間)

47×10184+259

c168

name 名前Bob Backstrom
date 日付April 30, 2022 00:41:50 UTC 2022 年 4 月 30 日 (土) 9 時 41 分 50 秒 (日本時間)
composite number 合成数
471130980339420950914628864636653795946242851473553946751068447752935076408239269307722678759244806426576007081827672944152792084200807334821706273826774961451088141037<168>
prime factors 素因数
3305388601177812194446023686989551042120268949<46>
2219460589658734299592284622211650866311404562850518467<55>
64220206896977432188147792543078839859206603754591758677919128840339<68>
factorization results 素因数分解の結果
Number: n
N=471130980339420950914628864636653795946242851473553946751068447752935076408239269307722678759244806426576007081827672944152792084200807334821706273826774961451088141037  ( 168 digits)
SNFS difficulty: 184 digits.
Divisors found:

Sat Apr 30 10:26:47 2022  found factor: 3305388601177812194446023686989551042120268949
Sat Apr 30 10:27:59 2022  p46 factor: 3305388601177812194446023686989551042120268949
Sat Apr 30 10:27:59 2022  p55 factor: 2219460589658734299592284622211650866311404562850518467
Sat Apr 30 10:27:59 2022  p68 factor: 64220206896977432188147792543078839859206603754591758677919128840339
Sat Apr 30 10:27:59 2022  elapsed time 00:23:30 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.327).
Factorization parameters were as follows:
#
# N = 47x10^184+25 = 52(183)5
#
n: 471130980339420950914628864636653795946242851473553946751068447752935076408239269307722678759244806426576007081827672944152792084200807334821706273826774961451088141037
m: 1000000000000000000000000000000000000
deg: 5
c5: 18800
c0: 1
skew: 0.14
# Murphy_E = 7.389e-11
type: snfs
lss: 1
rlim: 8200000
alim: 8200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8200000/8200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 9700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3081419 hash collisions in 30126185 relations (28942239 unique)
Msieve: matrix is 937596 x 937822 (321.3 MB)

Sieving start time : 2022/04/30 07:21:11
Sieving end time  : 2022/04/30 10:04:01

Total sieving time: 2hrs 42min 50secs.

Total relation processing time: 0hrs 13min 31sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 24sec.

Prototype def-par.txt line would be:
snfs,184,5,0,0,0,0,0,0,0,0,8200000,8200000,28,28,54,54,2.5,2.5,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10187+259

c127

name 名前Ignacio Santos
date 日付April 30, 2022 10:42:57 UTC 2022 年 4 月 30 日 (土) 19 時 42 分 57 秒 (日本時間)
composite number 合成数
1973647463135751779699947066813300231677849143126310236245923389386215365503108631068617297609143466957423974650079995000244431<127>
prime factors 素因数
442610355232067273347692850018212764369<39>
4459108197097961476380453402501326156847925289130666998557884687289317718941367863415199<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3131008262
Step 1 took 17797ms
Step 2 took 9219ms
********** Factor found in step 2: 442610355232067273347692850018212764369
Found prime factor of 39 digits: 442610355232067273347692850018212764369
Prime cofactor 4459108197097961476380453402501326156847925289130666998557884687289317718941367863415199 has 88 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 18:44:10 UTC 2022 年 4 月 25 日 (月) 3 時 44 分 10 秒 (日本時間)

47×10189+259

c148

name 名前Bob Backstrom
date 日付May 3, 2022 04:43:29 UTC 2022 年 5 月 3 日 (火) 13 時 43 分 29 秒 (日本時間)
composite number 合成数
4865956279295146127486261509669322133420053366038377638718293816040718584410763962366192724830538796463628470175289626241142957841570616053552023047<148>
prime factors 素因数
1450223703037326108283469274408448507252542864595970761235100232248113<70>
3355314265726013515501548198362733858755856204227759226857075990101326782875319<79>
factorization results 素因数分解の結果
Number: n
N=4865956279295146127486261509669322133420053366038377638718293816040718584410763962366192724830538796463628470175289626241142957841570616053552023047  ( 148 digits)
SNFS difficulty: 189 digits.
Divisors found:

Tue May  3 14:38:36 2022  p70 factor: 1450223703037326108283469274408448507252542864595970761235100232248113
Tue May  3 14:38:36 2022  p79 factor: 3355314265726013515501548198362733858755856204227759226857075990101326782875319
Tue May  3 14:38:36 2022  elapsed time 00:26:01 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.301).
Factorization parameters were as follows:
#
# N = 47x10^189+25 = 52(188)5
#
n: 4865956279295146127486261509669322133420053366038377638718293816040718584410763962366192724830538796463628470175289626241142957841570616053552023047
m: 10000000000000000000000000000000000000
deg: 5
c5: 18800
c0: 1
skew: 0.14
# Murphy_E = 4.617e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3479044 hash collisions in 30302055 relations (28621545 unique)
Msieve: matrix is 1026256 x 1026483 (352.3 MB)

Sieving start time : 2022/05/03 09:39:01
Sieving end time  : 2022/05/03 14:11:59

Total sieving time: 4hrs 32min 58secs.

Total relation processing time: 0hrs 16min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 25sec.

Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118092] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197520K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 529716K reserved, 0K cma-reserved)
[    0.154093] x86/mm: Memory block size: 128MB
[    0.000006] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798652)
[    0.152020] smpboot: Total of 16 processors activated (102389.21 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosMay 1, 2022 16:25:47 UTC 2022 年 5 月 2 日 (月) 1 時 25 分 47 秒 (日本時間)

47×10190+259

c113

name 名前Ignacio Santos
date 日付April 25, 2022 17:06:13 UTC 2022 年 4 月 26 日 (火) 2 時 6 分 13 秒 (日本時間)
composite number 合成数
21367473391538460897633607547745721154412238252334513419606715885202565334233470547096572411349699353316781240417<113>
prime factors 素因数
59906931493666129721110980801155144439878341<44>
356677814382758227322854187987148175412183155575985321030537178009837<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:132146320
Step 1 took 3547ms
Step 2 took 2578ms
********** Factor found in step 2: 59906931493666129721110980801155144439878341
Found prime factor of 44 digits: 59906931493666129721110980801155144439878341
Prime cofactor 356677814382758227322854187987148175412183155575985321030537178009837 has 69 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10199+259

c129

name 名前Taiyo Kodama
date 日付April 26, 2022 00:43:23 UTC 2022 年 4 月 26 日 (火) 9 時 43 分 23 秒 (日本時間)
composite number 合成数
267104162161096657685076882034116556873295794490955014417559044110761556486053962598778039196622555637161281502396896048306631773<129>
prime factors 素因数
3866712405167666997366736124738012742502814290803585988139<58>
69077845511376888331994023347643640389788753247762043015219143211533207<71>
factorization results 素因数分解の結果
69077845511376888331994023347643640389788753247762043015219143211533207 3866712405167666997366736124738012742502814290803585988139

n: 267104162161096657685076882034116556873295794490955014417559044110761556486053962598778039196622555637161281502396896048306631773
skew: 24995.321
c0: 4797196902291883294630666728
c1: -1437071071692443426525974
c2: -43106320812721340271
c3: 5775016577139061
c4: 44030377206
c5: 65160
Y0: -7434179946873511500263057
Y1: 900418850763559993
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 5.448e-07
# f(x) = 65160*x^5+44030377206*x^4+5775016577139061*x^3-43106320812721340271*x^2-1437071071692443426525974*x+4797196902291883294630666728
# g(x) = 900418850763559993*x-7434179946873511500263057
software ソフトウェア
cado-nfs 3.0.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 19:08:04 UTC 2022 年 4 月 25 日 (月) 4 時 8 分 4 秒 (日本時間)

47×10200+259

c146

name 名前Dmitry Domanov
date 日付June 18, 2022 10:38:58 UTC 2022 年 6 月 18 日 (土) 19 時 38 分 58 秒 (日本時間)
composite number 合成数
12535339838989281825556505104203434326446017315438844512891767333034032260459608069266655059502773332212823285441817657128397505599434574209726163<146>
prime factors 素因数
3720231424858562250018241443351328180049<40>
3369505390236806863837242703929670352528635321571762894799763191580309225216846757250944459164898879593187<106>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2715945523
Step 1 took 6289ms
Step 2 took 3400ms
********** Factor found in step 2: 3720231424858562250018241443351328180049
Found prime factor of 40 digits: 3720231424858562250018241443351328180049
Prime cofactor 3369505390236806863837242703929670352528635321571762894799763191580309225216846757250944459164898879593187 has 106 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:44:08 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 8 秒 (日本時間)

47×10203+259

c191

name 名前Ignacio Santos
date 日付July 12, 2023 06:10:19 UTC 2023 年 7 月 12 日 (水) 15 時 10 分 19 秒 (日本時間)
composite number 合成数
79502347916914172781519812602558628859961822017969287926285177734853080095083730479676426635802931557191721988308215391407162238682621539008123307512988994284991629588032291899019920775623661<191>
prime factors 素因数
132786090400116540685162235142945280587877<42>
598724969440356359519396582631625301213242302276188847759459923956709901103826869697640746507156422775038509479446755021320321635752885565609694044393<150>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:993949685
Step 1 took 7391ms
Step 2 took 3562ms
********** Factor found in step 2: 132786090400116540685162235142945280587877
Found prime factor of 42 digits: 132786090400116540685162235142945280587877
Prime cofactor 598724969440356359519396582631625301213242302276188847759459923956709901103826869697640746507156422775038509479446755021320321635752885565609694044393 has 150 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:44:17 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 17 秒 (日本時間)

47×10204+259

c170

name 名前Bob Backstrom
date 日付August 19, 2023 10:27:09 UTC 2023 年 8 月 19 日 (土) 19 時 27 分 9 秒 (日本時間)
composite number 合成数
22343853089298637749017096686529433131150257010799575137363145998850242934703874314075416817736298650101289689151353905057811505608356707726724139381467451806572289634007<170>
prime factors 素因数
3776178732678023433578813517363723470617225141<46>
2211782688109622192653408940226779305439780229608693<52>
2675241980007122349444792114633670228856490662277292615056717570374167439<73>
factorization results 素因数分解の結果
Number: n
N=5917053897883861220926705565470635893586631128577509420498169651686293050176801035105974662333451116594243455071526631947227  ( 124 digits)
SNFS difficulty: 204 digits.
Divisors found:

Sat Aug 19 19:12:20 2023  prp52 factor: 2211782688109622192653408940226779305439780229608693
Sat Aug 19 19:12:20 2023  prp73 factor: 2675241980007122349444792114633670228856490662277292615056717570374167439
Sat Aug 19 19:12:20 2023  elapsed time 02:38:47 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.098).
Factorization parameters were as follows:
#
# N = 47x10^204+25 = 52(203)5
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 22343853089298637749017096686529433131150257010799575137363145998850242934703874314075416817736298650101289689151353905057811505608356707726724139381467451806572289634007 (170 digits)
# Using B1=51610000, B2=288593074786, polynomial Dickson(12), sigma=1:3034483846
# Step 1 took 120217ms
# Step 2 took 41115ms
# ********** Factor found in step 2: 3776178732678023433578813517363723470617225141
# Found prime factor of 46 digits: 3776178732678023433578813517363723470617225141
# Composite cofactor 5917053897883861220926705565470635893586631128577509420498169651686293050176801035105974662333451116594243455071526631947227 has 124 digits
#

n: 5917053897883861220926705565470635893586631128577509420498169651686293050176801035105974662333451116594243455071526631947227
m: 10000000000000000000000000000000000000000
deg: 5
c5: 18800
c0: 1
skew: 0.14
# Murphy_E = 1.098e-11
type: snfs
lss: 1
rlim: 17800000
alim: 17800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 17800000/17800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2792414 hash collisions in 17802084 relations (15493331 unique)
Msieve: matrix is 2208662 x 2208887 (622.4 MB)

Sieving start time: 2023/08/19 04:41:40
Sieving end time  : 2023/08/19 16:33:10

Total sieving time: 11hrs 51min 30secs.

Total relation processing time: 2hrs 24min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 9min 25sec.

Prototype def-par.txt line would be:
snfs,204,5,0,0,0,0,0,0,0,0,17800000,17800000,27,27,56,56,2.6,2.6,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:44:26 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 26 秒 (日本時間)

47×10207+259

c199

name 名前Dmitry Domanov
date 日付June 18, 2022 15:23:31 UTC 2022 年 6 月 19 日 (日) 0 時 23 分 31 秒 (日本時間)
composite number 合成数
2777884497303212737639467145072752713716473614111170958268448489848085904375886048187261993201958103003304061626634683995890332660371605085850823296773846656009017273135518316506719106388128247225999<199>
prime factors 素因数
1571365105307164326406783436343954041<37>
1767816077830112374095069927250138776675245123981590685869152371619888699866156715596731994829929629139002071557320503294660996008747732975381342161973050762522439<163>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3301326790
Step 1 took 18034ms
Step 2 took 7933ms
********** Factor found in step 2: 1571365105307164326406783436343954041
Found prime factor of 37 digits: 1571365105307164326406783436343954041
Prime cofactor 1767816077830112374095069927250138776675245123981590685869152371619888699866156715596731994829929629139002071557320503294660996008747732975381342161973050762522439 has 163 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:44:34 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 34 秒 (日本時間)

47×10208+259

c200

name 名前Bob Backstrom
date 日付September 7, 2024 01:10:33 UTC 2024 年 9 月 7 日 (土) 10 時 10 分 33 秒 (日本時間)
composite number 合成数
45906113661207934063994084518659100294038669439718251325076918562571457719020101088241295738736430168063087912485874194358998638124325618129666306091236559773475207740364612579785649655592190343527389<200>
prime factors 素因数
244327343549871138751188067555166013826780005518236844779<57>
187887745162823981079837775432441045798378374247571121204736477387724136089816243183386933531564379996148900673004782114697204961796061629397591<144>
factorization results 素因数分解の結果
Number: n
N=45906113661207934063994084518659100294038669439718251325076918562571457719020101088241295738736430168063087912485874194358998638124325618129666306091236559773475207740364612579785649655592190343527389
  ( 200 digits)
SNFS difficulty: 208 digits.
Divisors found:

Sat Sep  7 11:01:59 2024  prp57 factor: 244327343549871138751188067555166013826780005518236844779
Sat Sep  7 11:01:59 2024  prp144 factor: 187887745162823981079837775432441045798378374247571121204736477387724136089816243183386933531564379996148900673004782114697204961796061629397591
Sat Sep  7 11:01:59 2024  elapsed time 02:09:30 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.681).
Factorization parameters were as follows:
#
# N = 47x10^208+25 = 52(207)5
#
n: 45906113661207934063994084518659100294038669439718251325076918562571457719020101088241295738736430168063087912485874194358998638124325618129666306091236559773475207740364612579785649655592190343527389
m: 100000000000000000000000000000000000000000
deg: 5
c5: 1880
c0: 1
skew: 0.22
# Murphy_E = 8.706e-12
type: snfs
lss: 1
rlim: 21000000
alim: 21000000
lpbr: 27
lpba: 27
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 50000
qintsize: 50000
Factor base limits: 21000000/21000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 57/57
Sieved  special-q in [50000, 38050000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7962559 hash collisions in 26902303 relations (17365407 unique)
Msieve: matrix is 2034059 x 2034285 (576.5 MB)

Sieving start time: 2024/09/06 10:53:15
Sieving end time  : 2024/09/07 08:44:42

Total sieving time: 21hrs 51min 27secs.

Total relation processing time: 2hrs 1min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 35sec.

Prototype def-par.txt line would be:
snfs,208,5,0,0,0,0,0,0,0,0,21000000,21000000,27,27,57,57,2.6,2.6,100000
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:44:44 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 15:41:09 UTC 2023 年 9 月 29 日 (金) 0 時 41 分 9 秒 (日本時間)

47×10209+259

c184

name 名前Dmitry Domanov
date 日付June 18, 2022 14:20:34 UTC 2022 年 6 月 18 日 (土) 23 時 20 分 34 秒 (日本時間)
composite number 合成数
6803619394614406677190487100379418739111258817489882506638837761044413036697711042539297944468904673009202347579142877699462834528312735139855918117587558891326286379859948585193741659<184>
prime factors 素因数
3505032347976440317244120887889071211<37>
1941100314963523522039792808996657119734542335497764161925798412640846243723034982095494287897004262976789354376785969035372586968797650000456937169<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3151857470
Step 1 took 15690ms
Step 2 took 7201ms
********** Factor found in step 2: 3505032347976440317244120887889071211
Found prime factor of 37 digits: 3505032347976440317244120887889071211
Prime cofactor 1941100314963523522039792808996657119734542335497764161925798412640846243723034982095494287897004262976789354376785969035372586968797650000456937169 has 148 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:44:54 UTC 2022 年 6 月 16 日 (木) 21 時 44 分 54 秒 (日本時間)

47×10211+259

c176

composite cofactor 合成数の残り
34558117155238917350655445679550127296406077639866603041592712237657005712324570834215487030739674663340750790928641920520006124248995762561271205385003489803735706486988484743<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:01 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 1 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 15:46:17 UTC 2023 年 9 月 29 日 (金) 0 時 46 分 17 秒 (日本時間)

47×10212+259

c188

composite cofactor 合成数の残り
50549980921910144189791779670594830793870830898379413860051424215516273679086422271340676704194534920898748502870954074572244386079297807103735566107453406725808000193361996687793808098589<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:09 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 16:04:00 UTC 2023 年 9 月 29 日 (金) 1 時 4 分 0 秒 (日本時間)

47×10213+259

c145

name 名前Ignacio Santos
date 日付April 24, 2022 20:08:02 UTC 2022 年 4 月 25 日 (月) 5 時 8 分 2 秒 (日本時間)
composite number 合成数
7696074291087776463030420047807899545887964559437257464746683766837707051832031716833204775790899651904246137436050907632693770224174634491819363<145>
prime factors 素因数
445816295154693440191237599528609604939<39>
composite cofactor 合成数の残り
17262882435504789683529386913225532832467253286176832255050149720636470447743068809568563961446829281548617<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3533433157
Step 1 took 3500ms
Step 2 took 2562ms
********** Factor found in step 2: 445816295154693440191237599528609604939
Found prime factor of 39 digits: 445816295154693440191237599528609604939
Composite cofactor 17262882435504789683529386913225532832467253286176832255050149720636470447743068809568563961446829281548617 has 107 digits
software ソフトウェア
GMP-ECM

c107

name 名前Eric Jeancolas
date 日付April 25, 2022 16:45:01 UTC 2022 年 4 月 26 日 (火) 1 時 45 分 1 秒 (日本時間)
composite number 合成数
17262882435504789683529386913225532832467253286176832255050149720636470447743068809568563961446829281548617<107>
prime factors 素因数
469426566966934958096722866017165263<36>
36774404454873421997434239637537712030186276795172212794425181370278759<71>
factorization results 素因数分解の結果
17262882435504789683529386913225532832467253286176832255050149720636470447743068809568563961446829281548617=469426566966934958096722866017165263*36774404454873421997434239637537712030186276795172212794425181370278759

cado polynomial
n: 17262882435504789683529386913225532832467253286176832255050149720636470447743068809568563961446829281548617
skew: 6002.662
c0: 151737105081212747741760
c1: 227598808219878447520
c2: 37877525871872313
c3: -15818898440983
c4: -349136820
c5: 68400
Y0: -396323937169585571962
Y1: 18876715660960849
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=2.517e+12) = 2.734e-06
# f(x) = 68400*x^5-349136820*x^4-15818898440983*x^3+37877525871872313*x^2+227598808219878447520*x+151737105081212747741760
# g(x) = 18876715660960849*x-396323937169585571962

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

cado log (extracts)
Info:Square Root: Factors: 36774404454873421997434239637537712030186276795172212794425181370278759 469426566966934958096722866017165263
Info:Square Root: Total cpu/real time for sqrt: 66.13/19.5461
Info:Filtering - Singleton removal: Total cpu/real time for purge: 51.95/59.0162
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5163504
Info:Lattice Sieving: Average J: 1894.15 for 66462 special-q, max bucket fill -bkmult 1.0,1s:1.304380
Info:Lattice Sieving: Total time: 6001.61s
Info:Generate Factor Base: Total cpu/real time for makefb: 1.46/0.402418
Info:Linear Algebra: Total cpu/real time for bwc: 674.31/175.42
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 399.22, WCT time 102.38, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Linear Algebra: Lingen CPU time 32.92, WCT time 8.4
Info:Linear Algebra: Mksol: CPU time 224.93,  WCT time 57.92, 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: 62.84/16.5488
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 19.74/20.0095
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 19.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 138.98
Info:Polynomial Selection (root optimized): Rootsieve time: 138.36
Info:Filtering - Merging: Merged matrix has 234385 rows and total weight 34145023 (145.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 30.35/9.38219
Info:Filtering - Merging: Total cpu/real time for replay: 7.18/5.85961
Info:Quadratic Characters: Total cpu/real time for characters: 8.77/3.37556
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): 9970/30.390/37.670/42.690/1.108
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 7600/29.550/33.396/37.980/0.914
Info:Polynomial Selection (size optimized): Total time: 494.02
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 74.55/82.2015
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 57.399999999999984s
Info:Square Root: Total cpu/real time for sqrt: 66.13/19.5461
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 12396.6/3519.83
Info:root: Cleaning up computation data in /tmp/cado.qghx1izw
36774404454873421997434239637537712030186276795172212794425181370278759 469426566966934958096722866017165263
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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)

47×10215+259

c202

composite cofactor 合成数の残り
3367329926665428561062947969159983175116835516589136455057768967959781445870393758486353264467991589974772732548019068795806414601469978965502581481253952680210528866609085128752226014734688732598186551<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 28, 2023 20:45:20 UTC 2023 年 7 月 29 日 (土) 5 時 45 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 16:06:27 UTC 2023 年 9 月 29 日 (金) 1 時 6 分 27 秒 (日本時間)

47×10216+259

c200

composite cofactor 合成数の残り
11945577982382297269435282833321180378644728719299061044104945617615300930817591236652051522920893294488317943631669865797067706927895385875517709961371772937635198124472647860304607274585848066990471<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:16 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 16 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 16:19:20 UTC 2023 年 9 月 29 日 (金) 1 時 19 分 20 秒 (日本時間)

47×10219+259

c186

composite cofactor 合成数の残り
207756812232858533992567249962913148712448138336992808636812986506181515482400683347900931067021512114253951274818266988008053669222493071332235150607777727680714207169621084795403613877<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:23 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 23 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 06:07:49 UTC 2023 年 9 月 29 日 (金) 15 時 7 分 49 秒 (日本時間)

47×10220+259

c159

name 名前Erik Branger
date 日付November 22, 2024 00:19:41 UTC 2024 年 11 月 22 日 (金) 9 時 19 分 41 秒 (日本時間)
composite number 合成数
109707844574772661780379972865875009284511603389013951271095611912993951601688786434319995310629030831485736586676715960837537738277481246285695516614989792351<159>
prime factors 素因数
1129183280872134277050452190436964660018539168754455452258621962548928059<73>
97156809202877037132271466086947273887358805355121035473261019258523923742777024338989<86>
factorization results 素因数分解の結果
Number: 52225_220
N = 109707844574772661780379972865875009284511603389013951271095611912993951601688786434319995310629030831485736586676715960837537738277481246285695516614989792351 (159 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=1129183280872134277050452190436964660018539168754455452258621962548928059 (pp73)
r2=97156809202877037132271466086947273887358805355121035473261019258523923742777024338989 (pp86)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 53.16 hours.
Factorization parameters were as follows:
n: 109707844574772661780379972865875009284511603389013951271095611912993951601688786434319995310629030831485736586676715960837537738277481246285695516614989792351
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 47
c0: 25
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: 30084611
Relations: 7806308 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 12.40 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 6697593 x 6697818
Matrix solve time: 39.60 hours.
time per square root: 0.74 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: 53.16 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:30 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 30 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 06:20:03 UTC 2023 年 9 月 29 日 (金) 15 時 20 分 3 秒 (日本時間)

47×10221+259

c219

composite cofactor 合成数の残り
210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332210998877665544332211<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 28, 2023 20:45:31 UTC 2023 年 7 月 29 日 (土) 5 時 45 分 31 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 06:39:19 UTC 2023 年 9 月 29 日 (金) 15 時 39 分 19 秒 (日本時間)

47×10223+259

c187

composite cofactor 合成数の残り
1221469390951468590632606536511911062051503121274032115786253928210542912271126663486755106171442076966032028526033458335766199689569725472575097032925476783238252950290821285472224616287<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:37 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 37 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 06:39:33 UTC 2023 年 9 月 29 日 (金) 15 時 39 分 33 秒 (日本時間)

47×10224+259

c222

composite cofactor 合成数の残り
994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994708994709<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 28, 2023 20:45:39 UTC 2023 年 7 月 29 日 (土) 5 時 45 分 39 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:03:46 UTC 2023 年 9 月 29 日 (金) 16 時 3 分 46 秒 (日本時間)

47×10228+259

c207

composite cofactor 合成数の残り
340657110312390076781181508089772492760662593497718140055267345171066932492419984509843699842897837520930850035058436578075655135263544159324391350001801477980616895934662698818836795013487047448011060879101<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 28, 2023 20:45:48 UTC 2023 年 7 月 29 日 (土) 5 時 45 分 48 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:04:02 UTC 2023 年 9 月 29 日 (金) 16 時 4 分 2 秒 (日本時間)

47×10230+259

c158

name 名前yoyo
date 日付November 6, 2023 00:09:26 UTC 2023 年 11 月 6 日 (月) 9 時 9 分 26 秒 (日本時間)
composite number 合成数
41142294517078609025588535161870359558373977160150530562373896443430020159576612288031990873331343768289868614645786283820327321536027432624892197794417950883<158>
prime factors 素因数
114936510120641556867455752831830859676506987<45>
357956705609854995333250470581501617784567389330030589726899423552799988961407300201355498985162381687136349124009<114>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 41142294517078609025588535161870359558373977160150530562373896443430020159576612288031990873331343768289868614645786283820327321536027432624892197794417950883 (158 digits)
[Sun Nov 05 05:11:57 2023]
Using MODMULN [mulredc:0, sqrredc:0]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:9396999011762367528
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35     40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 110562ms
Using 20 small primes for NTT
Estimated memory usage: 231.70MB
Initializing tables of differences for F took 31ms
Computing roots of F took 1828ms
Building F from its roots took 2140ms
Computing 1/F took 797ms
Initializing table of differences for G took 47ms
Computing roots of G took 1531ms
Building G from its roots took 2047ms
Computing roots of G took 1516ms
Building G from its roots took 2031ms
Computing G * H took 515ms
Reducing  G * H mod F took 532ms
Computing roots of G took 1531ms
Building G from its roots took 2109ms
Computing G * H took 531ms
Reducing  G * H mod F took 516ms
Computing roots of G took 1406ms
Building G from its roots took 1906ms
Computing G * H took 485ms
Reducing  G * H mod F took 500ms
Computing roots of G took 1547ms
Building G from its roots took 1937ms
Computing G * H took 531ms
Reducing  G * H mod F took 500ms
Computing polyeval(F,G) took 3625ms
Computing product of all F(g_i) took 31ms
Step 2 took 30391ms
********** Factor found in step 2: 114936510120641556867455752831830859676506987
Found prime factor of 45 digits: 114936510120641556867455752831830859676506987
Prime cofactor 357956705609854995333250470581501617784567389330030589726899423552799988961407300201355498985162381687136349124009 has 114 digits
Peak memory usage: 324MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 20:41:25 UTC 2022 年 4 月 25 日 (月) 5 時 41 分 25 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 14:32:57 UTC 2022 年 4 月 30 日 (土) 23 時 32 分 57 秒 (日本時間)

47×10232+259

c190

name 名前Dmitry Domanov
date 日付June 19, 2022 18:52:00 UTC 2022 年 6 月 20 日 (月) 3 時 52 分 0 秒 (日本時間)
composite number 合成数
3708112155467887745043667668846755476933675329106131639700418936153021064398299766447592661758724945792850841006983819065119922186322813135234758517273371009128713381389389395240422249043581<190>
prime factors 素因数
1752476403118941466008473573440744861<37>
composite cofactor 合成数の残り
2115927009840723250255533486945294068368735380960408405250054059380281387467835069804578952135915372913990631349759434795217256791588321290062362777511521<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3107226982
Step 1 took 9036ms
Step 2 took 4478ms
********** Factor found in step 2: 1752476403118941466008473573440744861
Found prime factor of 37 digits: 1752476403118941466008473573440744861
Composite cofactor 2115927009840723250255533486945294068368735380960408405250054059380281387467835069804578952135915372913990631349759434795217256791588321290062362777511521 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:45:47 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 47 秒 (日本時間)
2350Ignacio SantosJune 21, 2022 18:08:30 UTC 2022 年 6 月 22 日 (水) 3 時 8 分 30 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 16:20:53 UTC 2022 年 6 月 23 日 (木) 1 時 20 分 53 秒 (日本時間)
5043e66454Ignacio SantosMarch 9, 2024 09:18:09 UTC 2024 年 3 月 9 日 (土) 18 時 18 分 9 秒 (日本時間)

47×10234+259

c224

composite cofactor 合成数の残り
86669086068318691277910195671083901993260003985110040241621623118744112104231930214366488131986701510370264353486517445769262608116018145529078593710247407023875802626541717399793451515678042841361174595029566278882681595007<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:18:44 UTC 2023 年 7 月 29 日 (土) 18 時 18 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:35:19 UTC 2023 年 9 月 29 日 (金) 16 時 35 分 19 秒 (日本時間)

47×10235+259

c170

name 名前Ignacio Santos
date 日付September 29, 2023 07:36:01 UTC 2023 年 9 月 29 日 (金) 16 時 36 分 1 秒 (日本時間)
composite number 合成数
22867116060692773836112195672288824498081750324066276667835689308956783202498305599824012799379360086531598940402069541512865025451824717264352502083059192851986377721649<170>
prime factors 素因数
245102333773719984786758043914481664799<39>
93296198810590841302679465022293722839255180247730388798012601336269254851682115201719096536177105794320032287582930945778036063151<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:547497887
Step 1 took 6438ms
Step 2 took 3187ms
********** Factor found in step 2: 245102333773719984786758043914481664799
Found prime factor of 39 digits: 245102333773719984786758043914481664799
Prime cofactor 93296198810590841302679465022293722839255180247730388798012601336269254851682115201719096536177105794320032287582930945778036063151 has 131 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:45:55 UTC 2022 年 6 月 16 日 (木) 21 時 45 分 55 秒 (日本時間)

47×10236+259

c207

composite cofactor 合成数の残り
451844971149958173340860023437612518200173800478074399456310191105214676037540041492032103576254070207401348967872044843098922165123305604763294217598748055489791130219431474877571627848551592555242186429927<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:18:51 UTC 2023 年 7 月 29 日 (土) 18 時 18 分 51 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:36:34 UTC 2023 年 9 月 29 日 (金) 16 時 36 分 34 秒 (日本時間)

47×10237+259

c203

composite cofactor 合成数の残り
10486348884364268180593458485982135132696093921262499954657513155228885402952072795536069627484097644363555458953942984959336568999323478791337005345635119645517355555525522006036354939610434043279997379<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:18:59 UTC 2023 年 7 月 29 日 (土) 18 時 18 分 59 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:45:11 UTC 2023 年 9 月 29 日 (金) 16 時 45 分 11 秒 (日本時間)

47×10238+259

c217

composite cofactor 合成数の残り
1662486388428410044782814731437098006667416802200559612507826904530523811952270091901340280382470939158524228030481282546756068703480997845637730361091504927578540214567319632927018678512003844965452863933750555464923<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:07 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 7 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 07:56:43 UTC 2023 年 9 月 29 日 (金) 16 時 56 分 43 秒 (日本時間)

47×10239+259

c213

composite cofactor 合成数の残り
144751765899153683947643906613019955604166400624747825493469707155486868165757340297777630775510349703627711752414554655559044963979424522798790268425868590649991387660043903796951777688573378999644528376733380961<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:17 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 08:06:37 UTC 2023 年 9 月 29 日 (金) 17 時 6 分 37 秒 (日本時間)

47×10240+259

c184

name 名前Ignacio Santos
date 日付September 29, 2023 08:07:41 UTC 2023 年 9 月 29 日 (金) 17 時 7 分 41 秒 (日本時間)
composite number 合成数
7646379435746044484633321316609915047546334540411239504356001345856556541256880355726985844086600642936541835700191264718454140717883156113712072914059659021082212358617955816091188159<184>
prime factors 素因数
324700203428157586740010901636198687789<39>
23549044179881041092362839018959875918460423931071002018729839629559654615825332338520939988595464481527253857064673614437876803407839587352770331<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:735626428
Step 1 took 7407ms
Step 2 took 3593ms
********** Factor found in step 2: 324700203428157586740010901636198687789
Found prime factor of 39 digits: 324700203428157586740010901636198687789
Prime cofactor 23549044179881041092362839018959875918460423931071002018729839629559654615825332338520939988595464481527253857064673614437876803407839587352770331 has 146 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovJune 16, 2022 12:46:03 UTC 2022 年 6 月 16 日 (木) 21 時 46 分 3 秒 (日本時間)

47×10244+259

c244

composite cofactor 合成数の残り
2088888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:24 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 24 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 08:56:11 UTC 2023 年 9 月 29 日 (金) 17 時 56 分 11 秒 (日本時間)

47×10247+259

c196

composite cofactor 合成数の残り
1015953242995906269403420412592667732637567723767737513663456461733428385531010328852611120632771203392962758976696293535809285117354559778085336632545653654105133821057145124520249097606274756699<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:46:11 UTC 2022 年 6 月 16 日 (木) 21 時 46 分 11 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 08:56:24 UTC 2023 年 9 月 29 日 (金) 17 時 56 分 24 秒 (日本時間)

47×10249+259

c248

composite cofactor 合成数の残り
18989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:32 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 32 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 08:56:36 UTC 2023 年 9 月 29 日 (金) 17 時 56 分 36 秒 (日本時間)

47×10251+259

c181

composite cofactor 合成数の残り
1327029615308206405453534350069301344670549770822926229614784974145584534725800565612777273646702413304810337967607880898163067922598606781795139084818809526870008485061832657586183<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:46:18 UTC 2022 年 6 月 16 日 (木) 21 時 46 分 18 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 09:04:32 UTC 2023 年 9 月 29 日 (金) 18 時 4 分 32 秒 (日本時間)

47×10253+259

c245

composite cofactor 合成数の残り
25485415178811522339568054123712405825239846665155950901583095564237867151956689044338805500678204177105909573118902628821795740879855409961038778419306680152030099240518495945851322732157047759962211853101486709452910163902005439051216817482779<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:41 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 41 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 09:19:49 UTC 2023 年 9 月 29 日 (金) 18 時 19 分 49 秒 (日本時間)

47×10254+259

c239

composite cofactor 合成数の残り
13174380044252892779155214746550458254112307860593863666543884711743999879412047649042001228927267970442149457696570700380278044125259286708353122308567235356333410937844180429951688891878656622828217178645617865718780857248613476457720709<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:49 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 49 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 09:36:23 UTC 2023 年 9 月 29 日 (金) 18 時 36 分 23 秒 (日本時間)

47×10256+259

c247

composite cofactor 合成数の残り
1914837780581306031757148863492804854394236396621890732513139438862103094020114869564179171928061598348933079272778829493771250818125772907782665381860627608740425877174274860911548729217127741204472929094595988276349872906711344199547417436728127<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:19:58 UTC 2023 年 7 月 29 日 (土) 18 時 19 分 58 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 09:51:21 UTC 2023 年 9 月 29 日 (金) 18 時 51 分 21 秒 (日本時間)

47×10257+259

c218

composite cofactor 合成数の残り
21673861589638381491188948847436981835356033578060946016815352888567008496012670564069116664950176055229216960959120873581408078361309450777847929718566547797669055100370983969999294335076036301063202482355611645582387<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:20:06 UTC 2023 年 7 月 29 日 (土) 18 時 20 分 6 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 14:10:44 UTC 2023 年 9 月 29 日 (金) 23 時 10 分 44 秒 (日本時間)

47×10258+259

c207

composite cofactor 合成数の残り
107598457581886012811800673232846647954554334436037765598163865552406003562103142520751748890312944820051469431326664154947693607290611123132527180546705934078546370756780910035757173414678572830032608215507<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:20:13 UTC 2023 年 7 月 29 日 (土) 18 時 20 分 13 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 14:10:54 UTC 2023 年 9 月 29 日 (金) 23 時 10 分 54 秒 (日本時間)

47×10259+259

c221

composite cofactor 合成数の残り
80288358555064314184253702684797448507214630030288100466217929240739665757344533008231427335972553491191030264312205063976793506901861845759209568342981783340979544878167913783514715970587423351524145356498264689975034001<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:20:23 UTC 2023 年 7 月 29 日 (土) 18 時 20 分 23 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 14:11:17 UTC 2023 年 9 月 29 日 (金) 23 時 11 分 17 秒 (日本時間)

47×10260+259

c250

composite cofactor 合成数の残り
1475322092417506000588395600321981735978305279582725062380159428993301098602980493446022383906915357539762947287000266593786150813121965143463911538091919057633563017972021826273726832031748046612247259671829409793499645340781347564083628919994257041<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:48:02 UTC 2022 年 6 月 16 日 (木) 21 時 48 分 2 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 14:34:33 UTC 2023 年 9 月 29 日 (金) 23 時 34 分 33 秒 (日本時間)

47×10262+259

c183

composite cofactor 合成数の残り
375334308113290693703741037073922745151309106421006482991780051687121026795786780030013216356093547203321656174094567895445457082235615692074685218767816221339009375981486421342346463<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovJune 16, 2022 12:46:25 UTC 2022 年 6 月 16 日 (木) 21 時 46 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 14:34:49 UTC 2023 年 9 月 29 日 (金) 23 時 34 分 49 秒 (日本時間)

47×10263+259

c219

name 名前Ignacio Santos
date 日付September 29, 2023 14:59:03 UTC 2023 年 9 月 29 日 (金) 23 時 59 分 3 秒 (日本時間)
composite number 合成数
730187987652737886893585617598381461994766459764833618372788313309903648199004676770308481524714795195384226334504902932378299450294201903597940152654594337844123997660159877701601841290431964614716575867625721641416353<219>
prime factors 素因数
66230894881322669541838041240612687779<38>
11024884820915401883796625331600497781249618628757851445889069797387641453916554110173622035593681551050070647630384049980376324905834089450490383315937032567400239133825562555856107<182>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:481358752
Step 1 took 9531ms
Step 2 took 4219ms
********** Factor found in step 2: 66230894881322669541838041240612687779
Found prime factor of 38 digits: 66230894881322669541838041240612687779
Prime cofactor 11024884820915401883796625331600497781249618628757851445889069797387641453916554110173622035593681551050070647630384049980376324905834089450490383315937032567400239133825562555856107 has 182 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 29, 2023 09:21:40 UTC 2023 年 7 月 29 日 (土) 18 時 21 分 40 秒 (日本時間)

47×10264+259

c210

name 名前Ignacio Santos
date 日付September 29, 2023 14:59:36 UTC 2023 年 9 月 29 日 (金) 23 時 59 分 36 秒 (日本時間)
composite number 合成数
393218263462704390481385762209446649470642202628432654341261570985635596518901964777978937317222727661727142030058748090633006861095379905495389782718254891140245102980993359405054805797210290406125040903343249<210>
prime factors 素因数
260447665361448495496001234112428386688543<42>
1509778415241300987513481839949278090691558114864362526632829993382950601258385567758386994916032563066814759962007834512139969764707419718227761435826971297736146411343<169>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1941372606
Step 1 took 8750ms
Step 2 took 3844ms
********** Factor found in step 2: 260447665361448495496001234112428386688543
Found prime factor of 42 digits: 260447665361448495496001234112428386688543
Prime cofactor 1509778415241300987513481839949278090691558114864362526632829993382950601258385567758386994916032563066814759962007834512139969764707419718227761435826971297736146411343 has 169 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 29, 2023 09:21:48 UTC 2023 年 7 月 29 日 (土) 18 時 21 分 48 秒 (日本時間)

47×10266+259

c259

composite cofactor 合成数の残り
6908996789043742291920769829822221590122515990560693386917748429976417168460120958158784695704812671188311065232432433227026657739360815632060934999680458898506726918998664395370722251456833635436567930855054135113590705958719405685156207823652413957540613233<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:54 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 54 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 15:18:30 UTC 2023 年 9 月 30 日 (土) 0 時 18 分 30 秒 (日本時間)

47×10268+259

c263

composite cofactor 合成数の残り
16898891594509298435324436246684266682486905606207286478459755918881724837505471915030934859267289229024026089012214842440307811512639561923201728720655029802273979572116469318174668022173503077306136904392723049638696304446116356059645896310918032285871717637499<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:46 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 46 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 15:44:33 UTC 2023 年 9 月 30 日 (土) 0 時 44 分 33 秒 (日本時間)

47×10269+259

c232

composite cofactor 合成数の残り
8440233916530741647086580842591747669121312299932657693477492139797535039273123236571711000793249668231725708435729055484657609985417985906709588593321968297359767661136157015157757683117409883259522134416865258758567917838368165377<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:21:57 UTC 2023 年 7 月 29 日 (土) 18 時 21 分 57 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 15:51:32 UTC 2023 年 9 月 30 日 (土) 0 時 51 分 32 秒 (日本時間)

47×10270+259

c226

composite cofactor 合成数の残り
2215672142894395877817294779057878132745112326097600622417219774020968261206688143992978309517483529458791765309852824137107320863786130208992820481749803226407842636368217417169624065109445371041594577875751639490816907992443<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:05 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 5 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 15:58:12 UTC 2023 年 9 月 30 日 (土) 0 時 58 分 12 秒 (日本時間)

47×10272+259

c232

composite cofactor 合成数の残り
7624280959261742899337231747044273666845108523767088958326506789054532391074413131344943856222734373591267371419098514810199008866909453775115826448680722133701984847289120596740357950438759807533116182043462067805462086350869813237<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:12 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 12 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 16:18:36 UTC 2023 年 9 月 30 日 (土) 1 時 18 分 36 秒 (日本時間)

47×10273+259

c228

composite cofactor 合成数の残り
485254183382223165529477281653010258544487916463003437094947859952210505769518793243976470016055462677424640961852990708660637520357113751854589315681971692904916249086174416264812214466085454251649108845483402784608065886062503<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:20 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 29, 2023 16:31:43 UTC 2023 年 9 月 30 日 (土) 1 時 31 分 43 秒 (日本時間)

47×10274+259

c207

name 名前Dmitry Domanov
date 日付July 30, 2023 11:23:09 UTC 2023 年 7 月 30 日 (日) 20 時 23 分 9 秒 (日本時間)
composite number 合成数
339626773757875552183937125237097130673793291379513106609302913545184350257746035907515629070024910304888451429494924703647783917814384751473340132925153546305704226647557717353166523253127470082147611630907<207>
prime factors 素因数
153017445891293500931192370309289787<36>
2219529752177100519127524399524016270569845888239939832629777365693102332011088141565784842864081915634909633190922303804788753513837112440208469988307502581406719036469761<172>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e205c55fc0f5 with GMP-ECM 7.0.5-dev on Sat Jul 29 13:15:10 2023 
Input number is 339626773757875552183937125237097130673793291379513106609302913545184350257746035907515629070024910304888451429494924703647783917814384751473340132925153546305704226647557717353166523253127470082147611630907 (207 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3795700013
Step 1 took 0ms
Step 2 took 5187ms
********** Factor found in step 2: 153017445891293500931192370309289787
Found prime factor of 36 digits: 153017445891293500931192370309289787
Prime cofactor 2219529752177100519127524399524016270569845888239939832629777365693102332011088141565784842864081915634909633190922303804788753513837112440208469988307502581406719036469761 has 172 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJuly 29, 2023 09:22:27 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 27 秒 (日本時間)

47×10276+259

c209

composite cofactor 合成数の残り
15064197890818894205489898650238321101450460834541745158022459620826552215966216966051574140818695824898229585266852277147440665553325716358403415703206635957054790938528760776304367747172380983732500503295201<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:35 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 35 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 06:58:29 UTC 2023 年 9 月 30 日 (土) 15 時 58 分 29 秒 (日本時間)

47×10278+259

c240

name 名前Ignacio Santos
date 日付September 30, 2023 06:58:58 UTC 2023 年 9 月 30 日 (土) 15 時 58 分 58 秒 (日本時間)
composite number 合成数
324274595479204001355756879883284142373803326334705817442886579124098693097578275523200072124386769617488327345560882876904026462255189657830072755405238960177471375146739946019892841637576500697114783337963635180267496885313724654136631043<240>
prime factors 素因数
313296297620945283201663449185710454787027<42>
composite cofactor 合成数の残り
1035041262669312722142238295072300469501741430869520262766605994578552804126079460397740401195420936597903443622453772028927586198453429271728037783265289031964420865215312701478231842301453956731409<199>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:542986315
Step 1 took 11593ms
Step 2 took 4688ms
********** Factor found in step 2: 313296297620945283201663449185710454787027
Found prime factor of 42 digits: 313296297620945283201663449185710454787027
Composite cofactor 1035041262669312722142238295072300469501741430869520262766605994578552804126079460397740401195420936597903443622453772028927586198453429271728037783265289031964420865215312701478231842301453956731409 has 199 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:43 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 43 秒 (日本時間)
2350Ignacio SantosOctober 2, 2023 06:23:14 UTC 2023 年 10 月 2 日 (月) 15 時 23 分 14 秒 (日本時間)

47×10279+259

c248

composite cofactor 合成数の残り
23508630668402493171455573882458069073228276761883196239713509149378272357305975096991695737015680765488883329756228948172429679392967357979549474546246628049269815649378940105904731984313214419763605174507592195959939803348828476387489023194677643<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:22:52 UTC 2023 年 7 月 29 日 (土) 18 時 22 分 52 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 06:59:31 UTC 2023 年 9 月 30 日 (土) 15 時 59 分 31 秒 (日本時間)

47×10281+259

c264

composite cofactor 合成数の残り
282995599267296529327050325798117712699958665860445249456196742093129910351312943822684253494026392562884009426462858619527563769826150890634562006342989938610196987654500313263861401132141815896684452974000459162873250178268317649904259549351210740969047464465557<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:37 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 37 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 07:25:15 UTC 2023 年 9 月 30 日 (土) 16 時 25 分 15 秒 (日本時間)

47×10282+259

c190

name 名前Ignacio Santos
date 日付May 2, 2022 20:18:24 UTC 2022 年 5 月 3 日 (火) 5 時 18 分 24 秒 (日本時間)
composite number 合成数
3399902955208886842324104400925261972729645736131008116784934843306872625105264187676784207966675545781227348924499143336404200114057252024261232609025986530524107199823716912484757173726549<190>
prime factors 素因数
167353051665054198701793645389060648163877<42>
20315751170247928296029941600898534598900388889920362302648913787926678592669067353476755255578999371318779846886394992091382213421163664257652500337<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2658900763
Step 1 took 30704ms
Step 2 took 13515ms
********** Factor found in step 2: 167353051665054198701793645389060648163877
Found prime factor of 42 digits: 167353051665054198701793645389060648163877
Prime cofactor 20315751170247928296029941600898534598900388889920362302648913787926678592669067353476755255578999371318779846886394992091382213421163664257652500337 has 149 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 24, 2022 22:32:11 UTC 2022 年 4 月 25 日 (月) 7 時 32 分 11 秒 (日本時間)

47×10283+259

c247

composite cofactor 合成数の残り
4092581290403495900161203531584526521548340922569681536533269289887739892538123682437167704285371635258647100058314284554463456815703820718357069791788054591621825100691288365676433544106677458279395644534779864388239036556538175189194615821983431<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:00 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 0 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 07:30:04 UTC 2023 年 9 月 30 日 (土) 16 時 30 分 4 秒 (日本時間)

47×10284+259

c265

name 名前Dmitry Domanov
date 日付June 18, 2022 08:48:57 UTC 2022 年 6 月 18 日 (土) 17 時 48 分 57 秒 (日本時間)
composite number 合成数
3141761894349333119583082762207078232997530866012783540948131556239720593492478698054349369175870034005522161253892742314103928879504149996620506571894959673255980222504353068149962242333584154299312464719711760809630593905625303518901126357897582165112668511912663<265>
prime factors 素因数
265212045739904265355013562702220781<36>
composite cofactor 合成数の残り
11846226236007719027997027434590325623580585099566111612389461195439185240914692929341031799689359482350722682917262050974627978220203203088538763200389811182779719961213430609777380966504589682234302074487533760867162613664848723<230>
factorization results 素因数分解の結果
esuming ECM residue saved by @f7abe56ba3c6 with GMP-ECM 7.0.5-dev on Thu Jun 16 13:43:51 2022 
Input number is 3141761894349333119583082762207078232997530866012783540948131556239720593492478698054349369175870034005522161253892742314103928879504149996620506571894959673255980222504353068149962242333584154299312464719711760809630593905625303518901126357897582165112668511912663 (265 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:4262033374
Step 1 took 0ms
Step 2 took 15120ms
********** Factor found in step 2: 265212045739904265355013562702220781
Found prime factor of 36 digits: 265212045739904265355013562702220781
Composite cofactor 11846226236007719027997027434590325623580585099566111612389461195439185240914692929341031799689359482350722682917262050974627978220203203088538763200389811182779719961213430609777380966504589682234302074487533760867162613664848723 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:28 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:29:05 UTC 2023 年 9 月 30 日 (土) 17 時 29 分 5 秒 (日本時間)

47×10285+259

c221

composite cofactor 合成数の残り
30469666159815232710579037229186796131280701275381618248242545684756641084103634795789349872285359270286756927395013574094458674967946087944501388625058434815984691744129783231051560569272990000617076670881319407456586611<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:09 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:29:18 UTC 2023 年 9 月 30 日 (土) 17 時 29 分 18 秒 (日本時間)

47×10286+259

c234

composite cofactor 合成数の残り
168187632750596163614648702493188938162947561049689735154408339347742862961514246892568708453418049703762206674643301975993006087051472321553196808924222492637562060998480467737314075476419445025111760633827463151640337506110482989971<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:17 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 17 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:29:49 UTC 2023 年 9 月 30 日 (土) 17 時 29 分 49 秒 (日本時間)

47×10287+259

c276

composite cofactor 合成数の残り
114972536580543470851908155784773296427465583463619417833768940829518668820961584004873040188808285048575176387049038189056591745865918185799258969761359849590790183566790000172878680905071077186281353796932028695071806289251558578856234338455251276401990872895867108757268553<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 21:39:28 UTC 2022 年 5 月 29 日 (日) 6 時 39 分 28 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:30:01 UTC 2023 年 9 月 30 日 (土) 17 時 30 分 1 秒 (日本時間)

47×10288+259

c211

composite cofactor 合成数の残り
8763575319421865606245683597243331143165625724351551309006747640628198834929764546382916098764010747781888374117864543771436594793649447380601216659184292255570316495650450816469096222557311160044568084601409627<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:25 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 25 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:52:04 UTC 2023 年 9 月 30 日 (土) 17 時 52 分 4 秒 (日本時間)

47×10289+259

c288

composite cofactor 合成数の残り
189898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 21:39:37 UTC 2022 年 5 月 29 日 (日) 6 時 39 分 37 秒 (日本時間)
2350Ignacio SantosSeptember 30, 2023 08:56:53 UTC 2023 年 9 月 30 日 (土) 17 時 56 分 53 秒 (日本時間)

47×10290+259

c189

name 名前Ignacio Santos
date 日付April 24, 2022 22:03:07 UTC 2022 年 4 月 25 日 (月) 7 時 3 分 7 秒 (日本時間)
composite number 合成数
120547031591505562876195037837375113368397939785196242636866304475933937317581944326129773213185279037467388506765999523659430996924049329421418579397143182510923000022506326382637639808083<189>
prime factors 素因数
4642136323278524880361000452284616649<37>
composite cofactor 合成数の残り
25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467<152>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3078382153
Step 1 took 8469ms
Step 2 took 4187ms
********** Factor found in step 2: 4642136323278524880361000452284616649
Found prime factor of 37 digits: 4642136323278524880361000452284616649
Composite cofactor 25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467 has 152 digits
 
software ソフトウェア
GMP-ECM

c152

name 名前Bob Backstrom
date 日付December 1, 2024 03:17:51 UTC 2024 年 12 月 1 日 (日) 12 時 17 分 51 秒 (日本時間)
composite number 合成数
25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467<152>
prime factors 素因数
3254127751317387031277527001448745840118271275921<49>
7980020958703777285071201580173307363861651279913858107529134962718942551878874954958380891503002415627<103>
factorization results 素因数分解の結果
CADO-NFS

STA:Sat Nov 30 02:23:42 AEDT 2024 (25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467 - C152)

./cado-nfs.py -t 16 --no-colors 25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467 2>&1 | tee -a log-22

Info:root: Using default parameter file ./parameters/factor/params.c153
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.02nqe0_8
Info:Database: Opened connection to database /tmp/cado.02nqe0_8/c153.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/TrigKey-2
Info:root: Command line parameters: ./cado-nfs.py -t 16 --no-colors 25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.02nqe0_8/c153.parameters_snapshot.0
Info:Server Launcher: Adding TrigKey-2 to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,TrigKey-2
Info:Lattice Sieving: param rels_wanted is 155000000
Info:Complete Factorization / Discrete logarithm: Factoring 25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467
Info:HTTP server: serving at https://TrigKey-2:39541 (0.0.0.0)
===
Info:Polynomial Selection (root optimized): Finished, best polynomial has Murphy_E = 5.020e-07
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467
skew: 1914802.497
c0: 2709045565176081163948406033341481991
c1: 1226294519957658914157852890505
c2: -3193728015292538291945791
c3: -937290900258649193
c4: 629350086132
c5: 34020
Y0: -29228646855349339596925320422
Y1: 98697819282837771756439
# MurphyE (Bf=2.147e+09,Bg=2.147e+09,area=5.234e+14) = 5.020e-07
# f(x) = 34020*x^5+629350086132*x^4-937290900258649193*x^3-3193728015292538291945791*x^2+1226294519957658914157852890505*x+2709045565176081163948406033341481991
# g(x) = 98697819282837771756439*x-29228646855349339596925320422
===
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 144718.65, WCT time 10119.33, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (112000 iterations)
Info:Linear Algebra: Lingen CPU time 197.17, WCT time 82.95
Info:Linear Algebra: Mksol: CPU time 75279.48,  WCT time 5251.79, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (56000 iterations)
Info:Quadratic Characters: Starting
Info:Complete Factorization / Discrete logarithm: Quadratic Characters
Info:Quadratic Characters: Total cpu/real time for characters: 85.42/18.6941
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 7980020958703777285071201580173307363861651279913858107529134962718942551878874954958380891503002415627 3254127751317387031277527001448745840118271275921
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 4808.65/359.953
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Singleton removal: Total cpu/real time for purge: 734.96/272.08
Info:Filtering - Merging: Total cpu/real time for merge: 520.27/49.848
Info:Filtering - Merging: Total cpu/real time for replay: 79.54/70.579
Info:Quadratic Characters: Total cpu/real time for characters: 85.42/18.6941
Info:Square Root: Total cpu/real time for sqrt: 4808.65/359.953
Info:Linear Algebra: Total cpu/real time for bwc: 229922/16153.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 144718.65, WCT time 10119.33, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (112000 iterations)
Info:Linear Algebra: Lingen CPU time 197.17, WCT time 82.95
Info:Linear Algebra: Mksol: CPU time 75279.48,  WCT time 5251.79, iteration CPU time 0.08, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (56000 iterations)
Info:Generate Factor Base: Total cpu/real time for makefb: 3.52/1.26874
Info:Generate Free Relations: Total cpu/real time for freerel: 746.23/56.4915
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2805.72/1403.25
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1272.0s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 633.29/408.385
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 408.3s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 4997.05
Info:Polynomial Selection (root optimized): Rootsieve time: 5058.3
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 155125194
Info:Lattice Sieving: Average J: 8017.33 for 828605 special-q, max bucket fill -bkmult 1.0,1s:1.073300
Info:Lattice Sieving: Total time: 799676s
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 162279
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 153758/46.250/56.800/69.630/2.589
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 130928/44.340/49.438/64.050/1.498
Info:Polynomial Selection (size optimized): Total time: 82354.2
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 1.83564e+06/126769 [1d 11:12:49]
Info:root: Cleaning up computation data in /tmp/cado.02nqe0_8
7980020958703777285071201580173307363861651279913858107529134962718942551878874954958380891503002415627 3254127751317387031277527001448745840118271275921

END:Sun Dec 1 13:36:32 AEDT 2024 (25968007657812341813489071842118205541901240199955213007311635857128287627804003278618323545622672349813546780637591251308119639639932804778550439217467 - C152)
software ソフトウェア
CADO-NFS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosApril 25, 2022 17:48:10 UTC 2022 年 4 月 26 日 (火) 2 時 48 分 10 秒 (日本時間)
4511e64480Ignacio SantosApril 30, 2022 13:58:37 UTC 2022 年 4 月 30 日 (土) 22 時 58 分 37 秒 (日本時間)
5043e66454Ignacio SantosJanuary 30, 2024 08:02:41 UTC 2024 年 1 月 30 日 (火) 17 時 2 分 41 秒 (日本時間)

47×10291+259

c262

composite cofactor 合成数の残り
9110343935523260020084187008062975858063749427700250328768869884754197919880502366706691360682689171033190393926180010407498427164702447717972595662221371527979662156706109995317724881955464141350942745443816560636624559027219581366214687821662086486233219165943<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:20 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 20 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 14:25:56 UTC 2023 年 9 月 28 日 (木) 23 時 25 分 56 秒 (日本時間)

47×10292+259

c227

name 名前Dmitry Domanov
date 日付July 31, 2023 10:54:48 UTC 2023 年 7 月 31 日 (月) 19 時 54 分 48 秒 (日本時間)
composite number 合成数
52160587933111084174047614730188734998159126671137124018807774479243725860491833213371572697696383048545589608335316581030496554196670068259900289864277930614018153044360354454131251685819024203920178318764280016174621811544131<227>
prime factors 素因数
537230859472732641584510103247551604057<39>
composite cofactor 合成数の残り
97091570622551913977189516410657924879470777019833664563731764249487553308459330124436022204547485333757992523018782677060442623911939719025544792992576133772710989392643109614034242028283<188>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e205c55fc0f5 with GMP-ECM 7.0.5-dev on Sat Jul 29 13:44:45 2023 
Input number is 52160587933111084174047614730188734998159126671137124018807774479243725860491833213371572697696383048545589608335316581030496554196670068259900289864277930614018153044360354454131251685819024203920178318764280016174621811544131 (227 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2969553241
Step 1 took 0ms
Step 2 took 5721ms
********** Factor found in step 2: 537230859472732641584510103247551604057
Found prime factor of 39 digits: 537230859472732641584510103247551604057
Composite cofactor 97091570622551913977189516410657924879470777019833664563731764249487553308459330124436022204547485333757992523018782677060442623911939719025544792992576133772710989392643109614034242028283 has 188 digits

c188

name 名前Ignacio Santos
date 日付December 10, 2023 09:04:52 UTC 2023 年 12 月 10 日 (日) 18 時 4 分 52 秒 (日本時間)
composite number 合成数
97091570622551913977189516410657924879470777019833664563731764249487553308459330124436022204547485333757992523018782677060442623911939719025544792992576133772710989392643109614034242028283<188>
prime factors 素因数
59612994454082648813923976360357896406061498295213<50>
1628698096978460232730687265705108207087465903618566434915167574981992680626660154744127831201387584967956122765273313145614085566382200391<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3410111092
Step 1 took 27266ms
Step 2 took 11641ms
********** Factor found in step 2: 59612994454082648813923976360357896406061498295213
Found prime factor of 50 digits: 59612994454082648813923976360357896406061498295213
Prime cofactor 1628698096978460232730687265705108207087465903618566434915167574981992680626660154744127831201387584967956122765273313145614085566382200391 has 139 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 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:33 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 33 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 14:26:19 UTC 2023 年 9 月 28 日 (木) 23 時 26 分 19 秒 (日本時間)

47×10295+259

c220

composite cofactor 合成数の残り
5641560800607169922769980097319307462510849084523924830756151458725649202052408353576733250212365570261669638691652283623387115720605432332781852716365711599790812476731639793482547998592105986903831703613265882519205661<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:44 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 44 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 14:43:14 UTC 2023 年 9 月 28 日 (木) 23 時 43 分 14 秒 (日本時間)

47×10297+259

c288

composite cofactor 合成数の残り
117434110223568030118094379135753384106921605066164083305479321001014359676903829875069972450886595390846760150301241676590478314952049492445343725377079068033923802827234686372915410485936027276606677326032173858308808282878953148246208024674663572148434894594161906792174549368569379139<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovMay 28, 2022 21:39:46 UTC 2022 年 5 月 29 日 (日) 6 時 39 分 46 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 15:23:17 UTC 2023 年 9 月 29 日 (金) 0 時 23 分 17 秒 (日本時間)

47×10298+259

c235

composite cofactor 合成数の残り
2366973483115095899317399616817282680207248014073763596085930660166427091447818485408836261960778941798363931089423455961612253511012207036167477041874325452380255476770769473649783571126991880240129579938432828134943459984607881316003<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJuly 29, 2023 09:23:53 UTC 2023 年 7 月 29 日 (土) 18 時 23 分 53 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 15:23:27 UTC 2023 年 9 月 29 日 (金) 0 時 23 分 27 秒 (日本時間)

47×10299+259

c259

composite cofactor 合成数の残り
1617477815260874104677594904896795043213985731715052989094012685362649320732516886232020072291233887947426933849101159236068303242559005207935091775335537287590882477552254039697938130495467677528955115543824957731009104865659410079830003711170276124362440343<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovJune 16, 2022 12:47:09 UTC 2022 年 6 月 16 日 (木) 21 時 47 分 9 秒 (日本時間)
2350Ignacio SantosSeptember 28, 2023 15:23:37 UTC 2023 年 9 月 29 日 (金) 0 時 23 分 37 秒 (日本時間)

47×10300+259

c281

composite cofactor 合成数の残り
38829969036186524446811852801364021911117088121132487875108205287905626016843089945128192459286071297846013450529076305614106361691954903162301266115950988260244145823385473244279827847231340955045559899978681883266994952484270838620406474331399757963384872197952497316129141956131<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasApril 24, 2022 14:00:00 UTC 2022 年 4 月 24 日 (日) 23 時 0 分 0 秒 (日本時間)
403e61792Dmitry DomanovApril 24, 2022 16:29:43 UTC 2022 年 4 月 25 日 (月) 1 時 29 分 43 秒 (日本時間)
4511e63584Dmitry DomanovApril 28, 2022 23:11:47 UTC 2022 年 4 月 29 日 (金) 8 時 11 分 47 秒 (日本時間)
5043e6130 / 6675Dmitry DomanovApril 28, 2022 23:11:47 UTC 2022 年 4 月 29 日 (金) 8 時 11 分 47 秒 (日本時間)