Table of contents 目次

29×10114+529

c114

name 名前Dmitry Domanov
date 日付June 12, 2022 21:46:35 UTC 2022 年 6 月 13 日 (月) 6 時 46 分 35 秒 (日本時間)
composite number 合成数
268518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519<114>
prime factors 素因数
8546942441003797530734370369187814832770555921<46>
31416909657693014974934296743007691860179188305964920252263280085639<68>
factorization results 素因数分解の結果
N=268518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519
  ( 114 digits)
SNFS difficulty: 114 digits.
Divisors found:
p46 factor: 8546942441003797530734370369187814832770555921
p68 factor: 31416909657693014974934296743007691860179188305964920252263280085639
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.48 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 268518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518518519
m: 10000000000000000000000000000
deg: 4
c4: 725
c0: 13
skew: 0.37
# Murphy_E = 5.895e-08
type: snfs
lss: 1
rlim: 570000
alim: 570000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 570000/570000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [285000, 665001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 70147 x 70372
Total sieving time: 0.47 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.48 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10115+529

c115

name 名前Dmitry Domanov
date 日付June 12, 2022 21:55:33 UTC 2022 年 6 月 13 日 (月) 6 時 55 分 33 秒 (日本時間)
composite number 合成数
8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<115>
prime factors 素因数
4008691516862163533240502453057341578572667340743<49>
2009522439347268194513234656926567816250747723988816075440940954099<67>
factorization results 素因数分解の結果
N=8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
  ( 115 digits)
SNFS difficulty: 116 digits.
Divisors found:
p49 factor: 4008691516862163533240502453057341578572667340743
p67 factor: 2009522439347268194513234656926567816250747723988816075440940954099
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.50 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 50000000000000000000000000000
deg: 4
c4: 58
c0: 65
skew: 1.03
# Murphy_E = 5.605e-08
type: snfs
lss: 1
rlim: 610000
alim: 610000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 610000/610000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [305000, 685001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68855 x 69080
Total sieving time: 0.49 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,116.000,4,0,0,0,0,0,0,0,0,610000,610000,25,25,45,45,2.2,2.2,20000
total time: 0.50 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10116+529

c95

name 名前Dmitry Domanov
date 日付June 12, 2022 22:06:56 UTC 2022 年 6 月 13 日 (月) 7 時 6 分 56 秒 (日本時間)
composite number 合成数
15371605484733361190497926569048560221254874135289338002369998202695907732445948800780748358337<95>
prime factors 素因数
8013263311168184738154105771777540077147<40>
1918270358507970585336414004075673570597110742120074771<55>
factorization results 素因数分解の結果
N=15371605484733361190497926569048560221254874135289338002369998202695907732445948800780748358337
  ( 95 digits)
SNFS difficulty: 117 digits.
Divisors found:
p40 factor: 8013263311168184738154105771777540077147
p55 factor: 1918270358507970585336414004075673570597110742120074771
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.53 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 15371605484733361190497926569048560221254874135289338002369998202695907732445948800780748358337
m: 100000000000000000000000000000
deg: 4
c4: 29
c0: 52
skew: 1.16
# Murphy_E = 5.247e-08
type: snfs
lss: 1
rlim: 640000
alim: 640000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 640000/640000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [320000, 720001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 73612 x 73837
Total sieving time: 0.51 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,117.000,4,0,0,0,0,0,0,0,0,640000,640000,25,25,45,45,2.2,2.2,20000
total time: 0.53 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10117+529

c110

name 名前Dmitry Domanov
date 日付June 12, 2022 22:33:22 UTC 2022 年 6 月 13 日 (月) 7 時 33 分 22 秒 (日本時間)
composite number 合成数
22271981823212018585621695753736687894384382131862979486930277290566655404416658104241654701466831801277495687<110>
prime factors 素因数
640061642831711702279854833858211073309649760849<48>
34796620095336477689666004538000214557972134463205709493067863<62>
factorization results 素因数分解の結果
N=22271981823212018585621695753736687894384382131862979486930277290566655404416658104241654701466831801277495687
  ( 110 digits)
SNFS difficulty: 118 digits.
Divisors found:
p48 factor: 640061642831711702279854833858211073309649760849
p62 factor: 34796620095336477689666004538000214557972134463205709493067863
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.78 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 22271981823212018585621695753736687894384382131862979486930277290566655404416658104241654701466831801277495687
m: 100000000000000000000000000000
deg: 4
c4: 145
c0: 26
skew: 0.65
# Murphy_E = 4.762e-08
type: snfs
lss: 1
rlim: 650000
alim: 650000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 650000/650000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [325000, 575001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 56107 x 56332
Total sieving time: 0.77 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,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.78 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10118+529

c107

name 名前Dmitry Domanov
date 日付June 12, 2022 22:49:04 UTC 2022 年 6 月 13 日 (月) 7 時 49 分 4 秒 (日本時間)
composite number 合成数
69531902181108262728710923786909447964127691647003783662157291199935160916956326079748185279697054926183993<107>
prime factors 素因数
314028585754435067063972134264121273<36>
221419021501058537054264465896814397644698437676562577920277035294976641<72>
factorization results 素因数分解の結果
N=69531902181108262728710923786909447964127691647003783662157291199935160916956326079748185279697054926183993
  ( 107 digits)
SNFS difficulty: 118 digits.
Divisors found:
p36 factor: 314028585754435067063972134264121273
p72 factor: 221419021501058537054264465896814397644698437676562577920277035294976641
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.99 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 69531902181108262728710923786909447964127691647003783662157291199935160916956326079748185279697054926183993
m: 100000000000000000000000000000
deg: 4
c4: 725
c0: 13
skew: 0.37
# Murphy_E = 3.831e-08
type: snfs
lss: 1
rlim: 670000
alim: 670000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 670000/670000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [335000, 635001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 61959 x 62184
Total sieving time: 0.97 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,118.000,4,0,0,0,0,0,0,0,0,670000,670000,25,25,45,45,2.2,2.2,50000
total time: 0.99 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10119+529

c75

name 名前Ignacio Santos
date 日付June 12, 2022 17:22:42 UTC 2022 年 6 月 13 日 (月) 2 時 22 分 42 秒 (日本時間)
composite number 合成数
235273855583088329567080851040108424332610004395126012272647134295480955813<75>
prime factors 素因数
1146983189168133389304101445768330689<37>
205124066163274974638892180949874226917<39>
factorization results 素因数分解の結果
1146983189168133389304101445768 330689 (37 dígitos) × 205124066163274974638892180949874226917 (39 dígitos)
software ソフトウェア
Alpertron

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10120+529

c96

name 名前Dmitry Domanov
date 日付June 12, 2022 23:36:29 UTC 2022 年 6 月 13 日 (月) 8 時 36 分 29 秒 (日本時間)
composite number 合成数
296518964258543176640644478834523560257431009230362645920127732271911246376333114430170035868561<96>
prime factors 素因数
11247256364907772909195571<26>
26363670804526435394528469267326807198467920291022443574822617286299691<71>
factorization results 素因数分解の結果
N=296518964258543176640644478834523560257431009230362645920127732271911246376333114430170035868561
  ( 96 digits)
SNFS difficulty: 121 digits.
Divisors found:
p26 factor: 11247256364907772909195571
p71 factor: 26363670804526435394528469267326807198467920291022443574822617286299691
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.63 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 296518964258543176640644478834523560257431009230362645920127732271911246376333114430170035868561
m: 1000000000000000000000000000000
deg: 4
c4: 29
c0: 52
skew: 1.16
# Murphy_E = 3.397e-08
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 67878 x 68103
Total sieving time: 0.62 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,4,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 0.63 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10134+529

c111

name 名前Dmitry Domanov
date 日付June 13, 2022 14:29:00 UTC 2022 年 6 月 13 日 (月) 23 時 29 分 0 秒 (日本時間)
composite number 合成数
104149315342029174533046957841923551207965569094838216313953664871158321693609209476179651749926505822197244699<111>
prime factors 素因数
282773505946965298640188375562789<33>
416443111749576985658296049305175869<36>
884427056148505003502839787464001543229739<42>
factorization results 素因数分解の結果
N=104149315342029174533046957841923551207965569094838216313953664871158321693609209476179651749926505822197244699
  ( 111 digits)
SNFS difficulty: 134 digits.
Divisors found:
p33 factor: 282773505946965298640188375562789
p36 factor: 416443111749576985658296049305175869
p42 factor: 884427056148505003502839787464001543229739
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 3.18 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 104149315342029174533046957841923551207965569094838216313953664871158321693609209476179651749926505822197244699
m: 1000000000000000000000000000000000
deg: 4
c4: 725
c0: 13
skew: 0.37
# Murphy_E = 6.497e-09
type: snfs
lss: 1
rlim: 1240000
alim: 1240000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1240000/1240000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [620000, 1620001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 178418 x 178643
Total sieving time: 3.11 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1240000,1240000,26,26,47,47,2.3,2.3,100000
total time: 3.18 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10135+529

c106

name 名前Florian Baur
date 日付June 14, 2022 09:52:11 UTC 2022 年 6 月 14 日 (火) 18 時 52 分 11 秒 (日本時間)
composite number 合成数
3306600449971992721022035561093231486226826612597436952356764797477049331598996057947078217094320244998029<106>
prime factors 素因数
401415769501747056102804579242367200214911<42>
8237345667999726194119650239537461809408757921067959836821751539<64>
factorization results 素因数分解の結果
PID408057 2022-06-14 09:19:18,086 Info:Square Root: finished
PID408057 2022-06-14 09:19:18,086 Info:Square Root: Factors: 401415769501747056102804579242367200214911 8237345667999726194119650239537461809408757921067959836821751539
PID408057 2022-06-14 09:19:18,086 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID408057 2022-06-14 09:19:18,086 Info:Complete Factorization / Discrete logarithm: Square Root
PID408057 2022-06-14 09:19:18,086 Info:Square Root: Total cpu/real time for sqrt: 206.76/21.5946
PID408057 2022-06-14 09:19:18,087 Info:HTTP server: Got notification to stop serving Workunits
PID408057 2022-06-14 09:19:18,087 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 227.34/59.7866
PID408057 2022-06-14 09:19:18,087 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID408057 2022-06-14 09:19:18,087 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 48.599999999999994s
PID408057 2022-06-14 09:19:18,087 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID408057 2022-06-14 09:19:18,087 Info:Polynomial Selection (root optimized): Total time: 59.86
PID408057 2022-06-14 09:19:18,087 Info:Polynomial Selection (root optimized): Rootsieve time: 59.61
PID408057 2022-06-14 09:19:18,087 Info:Lattice Sieving: Aggregate statistics:
PID408057 2022-06-14 09:19:18,087 Info:Lattice Sieving: Total number of relations: 8409907
PID408057 2022-06-14 09:19:18,088 Info:Lattice Sieving: Average J: 1929.26 for 57717 special-q, max bucket fill -bkmult 1.0,1s:1.398490
PID408057 2022-06-14 09:19:18,088 Info:Lattice Sieving: Total time: 4833.47s
PID408057 2022-06-14 09:19:18,088 Info:Linear Algebra: Total cpu/real time for bwc: 50907.5/2140.16
PID408057 2022-06-14 09:19:18,088 Info:Linear Algebra: Aggregate statistics:
PID408057 2022-06-14 09:19:18,088 Info:Linear Algebra: Krylov: CPU time 400.04, WCT time 143.83, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (7000 iterations)
PID408057 2022-06-14 09:19:18,088 Info:Linear Algebra: Lingen CPU time 50201.02, WCT time 1880.14
PID408057 2022-06-14 09:19:18,088 Info:Linear Algebra: Mksol: CPU time 195.84,  WCT time 78.22, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (4000 iterations)
PID408057 2022-06-14 09:19:18,088 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID408057 2022-06-14 09:19:18,088 Info:Polynomial Selection (size optimized): potential collisions: 3935.23
PID408057 2022-06-14 09:19:18,089 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 2614/31.500/37.399/43.630/1.164
PID408057 2022-06-14 09:19:18,089 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 2060/29.680/33.089/37.810/0.983
PID408057 2022-06-14 09:19:18,089 Info:Polynomial Selection (size optimized): Total time: 142.23
PID408057 2022-06-14 09:19:18,089 Info:Generate Free Relations: Total cpu/real time for freerel: 130.25/31.195
PID408057 2022-06-14 09:19:18,089 Info:Filtering - Merging: Total cpu/real time for merge: 48.79/15.8147
PID408057 2022-06-14 09:19:18,089 Info:Filtering - Merging: Total cpu/real time for replay: 10.09/8.1869
PID408057 2022-06-14 09:19:18,089 Info:Generate Factor Base: Total cpu/real time for makefb: 3.26/1.38856
PID408057 2022-06-14 09:19:18,089 Info:Quadratic Characters: Total cpu/real time for characters: 11.62/5.69917
PID408057 2022-06-14 09:19:18,089 Info:Filtering - Singleton removal: Total cpu/real time for purge: 48.22/19.8109
PID408057 2022-06-14 09:19:18,089 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 85.86/29.0275
PID408057 2022-06-14 09:19:18,090 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID408057 2022-06-14 09:19:18,090 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 28.7s
PID408057 2022-06-14 09:19:18,090 Info:Square Root: Total cpu/real time for sqrt: 206.76/21.5946
PID408057 2022-06-14 09:19:18,091 Info:HTTP server: Shutting down HTTP server
PID408057 2022-06-14 09:19:18,513 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 61334/4901.95
software ソフトウェア
CADO
execution environment 実行環境
Epyc 7401P. 128 GB

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10137+529

c91

name 名前Eric Jeancolas
date 日付June 12, 2022 21:13:06 UTC 2022 年 6 月 13 日 (月) 6 時 13 分 6 秒 (日本時間)
composite number 合成数
1083108389350883666451381561607675265547388449061168164072177224903286106698081417599246483<91>
prime factors 素因数
278603934667251755474201<24>
3887627756027512596472507038578951415832739463707144315185892127883<67>
factorization results 素因数分解の結果
Sun Jun 12 20:08:46 2022  Msieve v. 1.53 (SVN 1005)
Sun Jun 12 20:08:46 2022  random seeds: 717add48 fdc34342
Sun Jun 12 20:08:46 2022  factoring 1083108389350883666451381561607675265547388449061168164072177224903286106698081417599246483 (91 digits)
Sun Jun 12 20:08:46 2022  searching for 15-digit factors
Sun Jun 12 20:08:47 2022  commencing quadratic sieve (91-digit input)
Sun Jun 12 20:08:47 2022  using multiplier of 3
Sun Jun 12 20:08:47 2022  using generic 32kb sieve core
Sun Jun 12 20:08:47 2022  sieve interval: 36 blocks of size 32768
Sun Jun 12 20:08:47 2022  processing polynomials in batches of 6
Sun Jun 12 20:08:47 2022  using a sieve bound of 1640299 (62353 primes)
Sun Jun 12 20:08:47 2022  using large prime bound of 144346312 (27 bits)
Sun Jun 12 20:08:47 2022  using double large prime bound of 486328996156784 (42-49 bits)
Sun Jun 12 20:08:47 2022  using trial factoring cutoff of 49 bits
Sun Jun 12 20:08:47 2022  polynomial 'A' values have 12 factors
Sun Jun 12 23:08:56 2022  62680 relations (15909 full + 46771 combined from 698677 partial), need 62449
Sun Jun 12 23:08:56 2022  begin with 714586 relations
Sun Jun 12 23:08:56 2022  reduce to 155766 relations in 9 passes
Sun Jun 12 23:08:56 2022  attempting to read 155766 relations
Sun Jun 12 23:08:57 2022  recovered 155766 relations
Sun Jun 12 23:08:57 2022  recovered 136985 polynomials
Sun Jun 12 23:08:57 2022  attempting to build 62680 cycles
Sun Jun 12 23:08:57 2022  found 62680 cycles in 5 passes
Sun Jun 12 23:08:57 2022  distribution of cycle lengths:
Sun Jun 12 23:08:57 2022     length 1 : 15909
Sun Jun 12 23:08:57 2022     length 2 : 11710
Sun Jun 12 23:08:57 2022     length 3 : 11088
Sun Jun 12 23:08:57 2022     length 4 : 8460
Sun Jun 12 23:08:57 2022     length 5 : 6096
Sun Jun 12 23:08:57 2022     length 6 : 3963
Sun Jun 12 23:08:57 2022     length 7 : 2450
Sun Jun 12 23:08:57 2022     length 9+: 3004
Sun Jun 12 23:08:57 2022  largest cycle: 17 relations
Sun Jun 12 23:08:57 2022  matrix is 62353 x 62680 (16.4 MB) with weight 3797246 (60.58/col)
Sun Jun 12 23:08:57 2022  sparse part has weight 3797246 (60.58/col)
Sun Jun 12 23:08:57 2022  filtering completed in 4 passes
Sun Jun 12 23:08:57 2022  matrix is 58824 x 58888 (15.5 MB) with weight 3583207 (60.85/col)
Sun Jun 12 23:08:57 2022  sparse part has weight 3583207 (60.85/col)
Sun Jun 12 23:08:57 2022  saving the first 48 matrix rows for later
Sun Jun 12 23:08:57 2022  matrix includes 64 packed rows
Sun Jun 12 23:08:57 2022  matrix is 58776 x 58888 (10.0 MB) with weight 2805121 (47.63/col)
Sun Jun 12 23:08:57 2022  sparse part has weight 2029723 (34.47/col)
Sun Jun 12 23:08:57 2022  using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
Sun Jun 12 23:08:58 2022  commencing Lanczos iteration
Sun Jun 12 23:08:58 2022  memory use: 6.3 MB
Sun Jun 12 23:09:01 2022  lanczos halted after 931 iterations (dim = 58774)
Sun Jun 12 23:09:01 2022  recovered 16 nontrivial dependencies
Sun Jun 12 23:09:02 2022  p24 factor: 278603934667251755474201
Sun Jun 12 23:09:02 2022  p67 factor: 3887627756027512596472507038578951415832739463707144315185892127883
Sun Jun 12 23:09:02 2022  elapsed time 03:00:16
software ソフトウェア
Msieve 1.53
execution environment 実行環境
Windows 10 21H2
Intel(R) Core(TM) i7-9750H CPU @ 2.60GHz   2.59 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10139+529

c109

name 名前Eric Jeancolas
date 日付June 17, 2022 12:11:00 UTC 2022 年 6 月 17 日 (金) 21 時 11 分 0 秒 (日本時間)
composite number 合成数
1686639627072478737170929089436631458025901358136021375628366835798980968844274716632242220827111657961476897<109>
prime factors 素因数
6148454774750223473<19>
979744607865121109026998943<27>
279990589449288939830455428661086012823853455244460886752111023<63>
factorization results 素因数分解の結果
1686639627072478737170929089436631458025901358136021375628366835798980968844274716632242220827111657961476897=6148454774750223473*979744607865121109026998943*279990589449288939830455428661086012823853455244460886752111023

cado polynomial
n: 1686639627072478737170929089436631458025901358136021375628366835798980968844274716632242220827111657961476897
skew: 1.03
type: snfs
c0: 65
c4: 58
Y0: 50000000000000000000000000000000000
Y1: -1
# f(x) = 58*x^4+65
# g(x) = -x+50000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1540000
tasks.lim1 = 1540000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 6148454774750223473 279990589449288939830455428661086012823853455244460886752111023 979744607865121109026998943
Info:Square Root: Total cpu/real time for sqrt: 63.29/49.2902
Info:Filtering - Singleton removal: Total cpu/real time for purge: 44.43/63.3371
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6076120
Info:Lattice Sieving: Average J: 1891.22 for 113183 special-q, max bucket fill -bkmult 1.0,1s:1.330970
Info:Lattice Sieving: Total time: 19359.2s
Info:Linear Algebra: Total cpu/real time for bwc: 565.6/533.85
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 247.86, WCT time 242.87, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5504 iterations)
Info:Linear Algebra: Lingen CPU time 171.27, WCT time 146.23
Info:Linear Algebra: Mksol: CPU time 130.85,  WCT time 130.38, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2688 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.33/25.1988
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.18/41.4521
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 41.3s
Info:Filtering - Merging: Merged matrix has 171609 rows and total weight 29297596 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 39.13/30.9198
Info:Filtering - Merging: Total cpu/real time for replay: 5.74/6.30812
Info:Generate Factor Base: Total cpu/real time for makefb: 0.8/1.1149
Info:Quadratic Characters: Total cpu/real time for characters: 5.4/4.40456
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.8/76.3696
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 71.3s
Info:Square Root: Total cpu/real time for sqrt: 63.29/49.2902
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18651.8/10730.9
Info:root: Cleaning up computation data in /tmp/cado.kfo0ilx6
6148454774750223473 279990589449288939830455428661086012823853455244460886752111023 979744607865121109026998943
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10140+529

c116

name 名前Eric Jeancolas
date 日付June 17, 2022 21:25:55 UTC 2022 年 6 月 18 日 (土) 6 時 25 分 55 秒 (日本時間)
composite number 合成数
38730711940618751241538449564306293562295970697650532791494248250794919079848468090754114030560274309384767136595263<116>
prime factors 素因数
18092742041722735662029<23>
2140676733869518602345897758015589470908558718896220721819032099207771635884538705067765113147<94>
factorization results 素因数分解の結果
38730711940618751241538449564306293562295970697650532791494248250794919079848468090754114030560274309384767136595263=18092742041722735662029*2140676733869518602345897758015589470908558718896220721819032099207771635884538705067765113147

cado polynomial
n: 38730711940618751241538449564306293562295970697650532791494248250794919079848468090754114030560274309384767136595263
skew: 1.16
type: snfs
c0: 52
c4: 29
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^4+52
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 1600000
tasks.lim1 = 1600000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 48
tasks.sieve.mfb1 = 48
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 18092742041722735662029 2140676733869518602345897758015589470908558718896220721819032099207771635884538705067765113147
Info:Square Root: Total cpu/real time for sqrt: 25.95/20.7825
Info:Filtering - Singleton removal: Total cpu/real time for purge: 42.31/62.4404
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6047135
Info:Lattice Sieving: Average J: 1890.98 for 121841 special-q, max bucket fill -bkmult 1.0,1s:1.319860
Info:Lattice Sieving: Total time: 20593s
Info:Linear Algebra: Total cpu/real time for bwc: 478.56/420.7
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 280.32, WCT time 273.43, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (5760 iterations)
Info:Linear Algebra: Lingen CPU time 25.9, WCT time 8.7
Info:Linear Algebra: Mksol: CPU time 155.92,  WCT time 123.17, iteration CPU time 0.03, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (2816 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 36.22/25.6019
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 22.96/39.8995
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 39.6s
Info:Filtering - Merging: Merged matrix has 180210 rows and total weight 30727585 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 40.4/31.981
Info:Filtering - Merging: Total cpu/real time for replay: 5.97/6.69313
Info:Generate Factor Base: Total cpu/real time for makefb: 0.82/1.09663
Info:Quadratic Characters: Total cpu/real time for characters: 5.65/4.59914
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.5/74.426
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 69.9s
Info:Square Root: Total cpu/real time for sqrt: 25.95/20.7825
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 19643.7/11148.1
Info:root: Cleaning up computation data in /tmp/cado.av0vho44
18092742041722735662029 2140676733869518602345897758015589470908558718896220721819032099207771635884538705067765113147
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10143+529

c105

name 名前ebina
date 日付June 16, 2022 23:20:49 UTC 2022 年 6 月 17 日 (金) 8 時 20 分 49 秒 (日本時間)
composite number 合成数
111155824424711605150451083848559198643096934293818723575407332714266281512731520746764959376096702865329<105>
prime factors 素因数
603398281573269866087569730824657099049<39>
184216342371558607784575016112399333847250208746774754409541499721<66>
factorization results 素因数分解の結果
Z:\ALL\ECM>ecm70dev-svn2256-x64-nehalem\ecm -primetest -one -nn -sigma 1:1281620908 3e6      
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 111155824424711605150451083848559198643096934293818723575407332714266281512731520746764959376096702865329 (105 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1281620908
Step 1 took 4250ms
Step 2 took 4328ms
********** Factor found in step 2: 603398281573269866087569730824657099049
Found probable prime factor of 39 digits: 603398281573269866087569730824657099049
Probable prime cofactor 184216342371558607784575016112399333847250208746774754409541499721 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10144+529

c114

name 名前Eric Jeancolas
date 日付June 18, 2022 04:49:54 UTC 2022 年 6 月 18 日 (土) 13 時 49 分 54 秒 (日本時間)
composite number 合成数
168065150504591457877892330574547884042497332129817291831162525092858023218628500186108252622395309954156488175461<114>
prime factors 素因数
11837538390045737729527<23>
4721931324907942879729231<25>
244044732739949371579178500198817<33>
12320466811537908440237043294937709<35>
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 168065150504591457877892330574547884042497332129817291831162525092858023218628500186108252622395309954156488175461 (114 digits)
Using B1=10000, B2=1873422, polynomial x^1, sigma=1:2952005409
Step 1 took 22ms
Step 2 took 24ms
********** Factor found in step 2: 11837538390045737729527
Found prime factor of 23 digits: 11837538390045737729527
Composite cofactor 14197643544363794869816634377098810037588578129491034558019402256153690227602998221924685443 has 92 digits

Using B1=300000, B2=172085560, polynomial Dickson(3), sigma=1:2709072158
Step 1 took 410ms
Step 2 took 309ms
********** Factor found in step 2: 244044732739949371579178500198817
Found prime factor of 33 digits: 244044732739949371579178500198817
Composite cofactor 58176398174889534593875422059822359797332604954134931471779 has 59 digits

Using B1=300000, B2=172085560, polynomial Dickson(3), sigma=1:3716831531
Step 1 took 321ms
********** Factor found in step 1: 4721931324907942879729231
Found prime factor of 25 digits: 4721931324907942879729231
Prime cofactor 12320466811537908440237043294937709 has 35 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10148+529

c111

name 名前Eric Jeancolas
date 日付June 19, 2022 02:20:17 UTC 2022 年 6 月 19 日 (日) 11 時 20 分 17 秒 (日本時間)
composite number 合成数
781172086249259129004068803231333145506783902815249066324803434574524492874964210540327913197279376445188803461<111>
prime factors 素因数
340771739830606455617626620324117308186453<42>
2292361704164700990401801381642817432493283192371275918975700482349937<70>
factorization results 素因数分解の結果
781172086249259129004068803231333145506783902815249066324803434574524492874964210540327913197279376445188803461=340771739830606455617626620324117308186453*2292361704164700990401801381642817432493283192371275918975700482349937

cado polynomial
n: 781172086249259129004068803231333145506783902815249066324803434574524492874964210540327913197279376445188803461
skew: 1.16
type: snfs
c0: 52
c4: 29
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 29*x^4+52
# g(x) = -x+10000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2200000
tasks.lim1 = 2200000
tasks.lpb0 = 26
tasks.lpb1 = 26
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
tasks.sieve.lambda0 = 2.3
tasks.sieve.lambda1 = 2.3
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2292361704164700990401801381642817432493283192371275918975700482349937 340771739830606455617626620324117308186453
Info:Square Root: Total cpu/real time for sqrt: 92.75/29.0495
Info:Filtering - Singleton removal: Total cpu/real time for purge: 30.83/31.3582
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6035707
Info:Lattice Sieving: Average J: 1892.07 for 218438 special-q, max bucket fill -bkmult 1.0,1s:1.312890
Info:Lattice Sieving: Total time: 18599.3s
Info:Generate Free Relations: Total cpu/real time for freerel: 36.21/11.494
Info:Linear Algebra: Total cpu/real time for bwc: 1474.02/383.71
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 904.53, WCT time 230.84, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Linear Algebra: Lingen CPU time 47.98, WCT time 12.24
Info:Linear Algebra: Mksol: CPU time 492.48,  WCT time 128.89, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4992 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 23.16/22.3805
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 22.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 50.48/45.7973
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 38.8s
Info:Filtering - Merging: Merged matrix has 315980 rows and total weight 53919751 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 63.25/17.8385
Info:Filtering - Merging: Total cpu/real time for replay: 10.32/8.52003
Info:Generate Factor Base: Total cpu/real time for makefb: 1.12/0.610017
Info:Quadratic Characters: Total cpu/real time for characters: 10.04/3.9869
Info:Square Root: Total cpu/real time for sqrt: 92.75/29.0495
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 35628.8/9949.26
Info:root: Cleaning up computation data in /tmp/cado.vwdbn5xw
2292361704164700990401801381642817432493283192371275918975700482349937 340771739830606455617626620324117308186453
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10149+529

c144

name 名前Bob Backstrom
date 日付June 12, 2022 22:45:38 UTC 2022 年 6 月 13 日 (月) 7 時 45 分 38 秒 (日本時間)
composite number 合成数
305849487459538222115913158994906867776415165578475283353730330186669434077201472971131605136077710237773719471475211215437425936964631565270179<144>
prime factors 素因数
8686259257842114586461212221118446356241708777856221656629<58>
35210725167270557885062411697476515552598483236980563528506329073801926078564907704951<86>
factorization results 素因数分解の結果
Number: n
N=305849487459538222115913158994906867776415165578475283353730330186669434077201472971131605136077710237773719471475211215437425936964631565270179  ( 144 digits)
SNFS difficulty: 150 digits.
Divisors found:

Mon Jun 13 08:40:29 2022  p58 factor: 8686259257842114586461212221118446356241708777856221656629
Mon Jun 13 08:40:29 2022  p86 factor: 35210725167270557885062411697476515552598483236980563528506329073801926078564907704951
Mon Jun 13 08:40:29 2022  elapsed time 00:05:42 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.348).
Factorization parameters were as follows:
#
# N = 29x10^149+52 = 32(148)8
#
n: 305849487459538222115913158994906867776415165578475283353730330186669434077201472971131605136077710237773719471475211215437425936964631565270179
m: 10000000000000000000000000000000000000
deg: 4
c4: 145
c0: 26
skew: 0.65
# Murphy_E = 1.275e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1481906 hash collisions in 14139607 relations (14042770 unique)
Msieve: matrix is 450399 x 450646 (78.8 MB)

Sieving start time : 2022/06/13 07:49:10
Sieving end time  : 2022/06/13 08:34:32

Total sieving time: 0hrs 45min 22secs.

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

Prototype def-par.txt line would be:
snfs,150,4,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10152+529

c123

name 名前Erik Branger
date 日付June 18, 2022 19:06:49 UTC 2022 年 6 月 19 日 (日) 4 時 6 分 49 秒 (日本時間)
composite number 合成数
342154598799926550262661670548914851382417942517129063869147575577422535148334771230979644256933703365013144224112650149987<123>
prime factors 素因数
378491774145768405069577802239<30>
191107076403262668234538571694253<33>
4730305257563902273925566599614444954326796936823554992208561<61>
factorization results 素因数分解の結果
Number: 32228_152
N = 342154598799926550262661670548914851382417942517129063869147575577422535148334771230979644256933703365013144224112650149987 (123 digits)
SNFS difficulty: 153 digits.
Divisors found:
r1=378491774145768405069577802239 (pp30)
r2=191107076403262668234538571694253 (pp33)
r3=4730305257563902273925566599614444954326796936823554992208561 (pp61)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 7.09 hours.
Factorization parameters were as follows:
n: 342154598799926550262661670548914851382417942517129063869147575577422535148334771230979644256933703365013144224112650149987
m: 1000000000000000000000000000000
deg: 5
c5: 725
c0: 13
skew: 0.45
# Murphy_E = 1.088e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 7692671
Relations: 760506 relations
Pruned matrix : 436914 x 437141
Polynomial selection time: 0.00 hours.
Total sieving time: 6.96 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 7.09 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10156+529

c135

name 名前Ignacio Santos
date 日付June 19, 2022 09:55:03 UTC 2022 年 6 月 19 日 (日) 18 時 55 分 3 秒 (日本時間)
composite number 合成数
271731121542229480869970622701539384461755802851947502019669830411404475503653498227370342450570135720179080447655251112992292742132723<135>
prime factors 素因数
16929958860482015215930801463<29>
16050311981354276384492136403516812532137109317628060167208515108608798890504626376281774355555493790154021<107>
factorization results 素因数分解の結果
********** Factor found in step 1: 16929958860482015215930801463
Found prime factor of 29 digits: 16929958860482015215930801463
Prime cofactor 16050311981354276384492136403516812532137109317628060167208515108608798890504626376281774355555493790154021 has 107 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10158+529

c136

name 名前Eric Jeancolas
date 日付June 19, 2022 09:57:30 UTC 2022 年 6 月 19 日 (日) 18 時 57 分 30 秒 (日本時間)
composite number 合成数
2200993769917292885835846461465770821552568020302111987468409157525753307020996159844042574133449225219166497556809952234431103282523779<136>
prime factors 素因数
187158148159216108761194186335836281417<39>
11760074522883714266934529516743855522964501280030535905370674932376870684470504100910139782996587<98>
factorization results 素因数分解の結果
2200993769917292885835846461465770821552568020302111987468409157525753307020996159844042574133449225219166497556809952234431103282523779=187158148159216108761194186335836281417*11760074522883714266934529516743855522964501280030535905370674932376870684470504100910139782996587

cado polynomial
n: 2200993769917292885835846461465770821552568020302111987468409157525753307020996159844042574133449225219166497556809952234431103282523779
skew: 0.28
type: snfs
c0: 13
c5: 7250
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 7250*x^5+13
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3100000
tasks.lim1 = 3100000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 50
tasks.sieve.mfb1 = 50
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 11760074522883714266934529516743855522964501280030535905370674932376870684470504100910139782996587 187158148159216108761194186335836281417
Info:Square Root: Total cpu/real time for sqrt: 81.24/26.094
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11646907
Info:Lattice Sieving: Average J: 1895.53 for 352620 special-q, max bucket fill -bkmult 1.0,1s:1.234230
Info:Lattice Sieving: Total time: 41908.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 44.62/49.0437
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 49.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 100.5/85.2449
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 76.0s
Info:Filtering - Merging: Merged matrix has 396003 rows and total weight 67559630 (170.6 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 80.64/22.5602
Info:Filtering - Merging: Total cpu/real time for replay: 12.55/10.5443
Info:Linear Algebra: Total cpu/real time for bwc: 2149.85/556.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1322.5, WCT time 339.0, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12416 iterations)
Info:Linear Algebra: Lingen CPU time 64.38, WCT time 16.41
Info:Linear Algebra: Mksol: CPU time 727.71,  WCT time 186.28, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6272 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 61.84/31.1579
Info:Generate Factor Base: Total cpu/real time for makefb: 1.37/1.57103
Info:Quadratic Characters: Total cpu/real time for characters: 12.24/4.8432
Info:Square Root: Total cpu/real time for sqrt: 81.24/26.094
Info:Filtering - Singleton removal: Total cpu/real time for purge: 77.05/70.4618
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 75372/21987.9
Info:root: Cleaning up computation data in /tmp/cado.022kjdro
11760074522883714266934529516743855522964501280030535905370674932376870684470504100910139782996587 187158148159216108761194186335836281417
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10159+529

c142

name 名前Bob Backstrom
date 日付June 13, 2022 00:47:19 UTC 2022 年 6 月 13 日 (月) 9 時 47 分 19 秒 (日本時間)
composite number 合成数
6183081467999654936382752831228358300098931275028080193734601680428351690584059625539168955850053490508275462915891440801101222103888280804193<142>
prime factors 素因数
2311123058442422501401660214729193383<37>
679954406860509130604139523540689794597<39>
3934613750176162492436739095389208188091758985250043505229048803243<67>
factorization results 素因数分解の結果
Number: n
N=6183081467999654936382752831228358300098931275028080193734601680428351690584059625539168955850053490508275462915891440801101222103888280804193
  ( 142 digits)
SNFS difficulty: 160 digits.
Divisors found:

Mon Jun 13 10:18:20 2022  found factor: 3934613750176162492436739095389208188091758985250043505229048803243
Mon Jun 13 10:19:17 2022  p37 factor: 2311123058442422501401660214729193383
Mon Jun 13 10:19:17 2022  p39 factor: 679954406860509130604139523540689794597
Mon Jun 13 10:19:17 2022  p67 factor: 3934613750176162492436739095389208188091758985250043505229048803243
Mon Jun 13 10:19:17 2022  elapsed time 00:08:42 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.344).
Factorization parameters were as follows:
#
# N = 29x10^159+52 = 32(158)8
#
n: 6183081467999654936382752831228358300098931275028080193734601680428351690584059625539168955850053490508275462915891440801101222103888280804193
m: 50000000000000000000000000000000
deg: 5
c5: 116
c0: 65
skew: 0.89
# Murphy_E = 5.089e-10
type: snfs
lss: 1
rlim: 3300000
alim: 3300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3300000/3300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14450000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1103646 hash collisions in 12948450 relations (12690583 unique)
Msieve: matrix is 490161 x 490387 (168.9 MB)

Sieving start time : 2022/06/13 08:43:37
Sieving end time  : 2022/06/13 10:10:04

Total sieving time: 1hrs 26min 27secs.

Total relation processing time: 0hrs 3min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 54sec.

Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3300000,3300000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10160+529

c129

name 名前Bob Backstrom
date 日付June 20, 2022 05:16:55 UTC 2022 年 6 月 20 日 (月) 14 時 16 分 55 秒 (日本時間)
composite number 合成数
475623476081938863015760099272406236651578885398728255131890091543489134308215543495631333165938789913632370358802953436985098819<129>
prime factors 素因数
4686141321868323186232231489170047403401<40>
101495760245726430812035741087497529484873417305278882429980723627037283347626664480154219<90>
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 475623476081938863015760099272406236651578885398728255131890091543489134308215543495631333165938789913632370358802953436985098819 (129 digits)
Using B1=20190000, B2=70272629710, polynomial Dickson(12), sigma=1:983492798
Step 1 took 29772ms
Step 2 took 13927ms
********** Factor found in step 2: 4686141321868323186232231489170047403401
Found prime factor of 40 digits: 4686141321868323186232231489170047403401
Prime cofactor 101495760245726430812035741087497529484873417305278882429980723627037283347626664480154219 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10161+529

c128

name 名前Bob Backstrom
date 日付June 20, 2022 00:19:21 UTC 2022 年 6 月 20 日 (月) 9 時 19 分 21 秒 (日本時間)
composite number 合成数
52021185887957417472178884087160396487819927832367040007260806963944861850100517208080536772568570638310968250908510708263715209<128>
prime factors 素因数
106084086264062090442048381169<30>
490376904962611138896460849853519353052591562401900991339446828413734500248035703444115666190363161<99>
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 52021185887957417472178884087160396487819927832367040007260806963944861850100517208080536772568570638310968250908510708263715209 (128 digits)
Using B1=15680000, B2=46848203230, polynomial Dickson(12), sigma=1:4012793397
Step 1 took 22393ms
Step 2 took 10138ms
********** Factor found in step 2: 106084086264062090442048381169
Found prime factor of 30 digits: 106084086264062090442048381169
Prime cofactor 490376904962611138896460849853519353052591562401900991339446828413734500248035703444115666190363161 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10162+529

c146

name 名前Bob Backstrom
date 日付June 19, 2022 07:36:36 UTC 2022 年 6 月 19 日 (日) 16 時 36 分 36 秒 (日本時間)
composite number 合成数
16881326263404108257921778559565575544185981449998369738883193063220638270068624005135937060707398788826523605252512878597901370749344515169721311<146>
prime factors 素因数
8596991161179303813082512746895944921069<40>
1963631920390201918820523287035305148713335866114039996206864727222276259938145662162526091647684471409019<106>
factorization results 素因数分解の結果
Number: n
N=16881326263404108257921778559565575544185981449998369738883193063220638270068624005135937060707398788826523605252512878597901370749344515169721311  ( 146 digits)
SNFS difficulty: 162 digits.
Divisors found:

Sun Jun 19 17:28:57 2022  p40 factor: 8596991161179303813082512746895944921069
Sun Jun 19 17:28:57 2022  p106 factor: 1963631920390201918820523287035305148713335866114039996206864727222276259938145662162526091647684471409019
Sun Jun 19 17:28:57 2022  elapsed time 00:07:54 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.315).
Factorization parameters were as follows:
#
# N = 29x10^162+52 = 32(161)8
#
n: 16881326263404108257921778559565575544185981449998369738883193063220638270068624005135937060707398788826523605252512878597901370749344515169721311
m: 100000000000000000000000000000000
deg: 5
c5: 725
c0: 13
skew: 0.45
# Murphy_E = 4.48e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 7400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1053272 hash collisions in 12326370 relations (12067796 unique)
Msieve: matrix is 500233 x 500458 (172.2 MB)

Sieving start time : 2022/06/19 16:37:28
Sieving end time  : 2022/06/19 17:20:49

Total sieving time: 0hrs 43min 21secs.

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

Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10163+529

c158

name 名前Bob Backstrom
date 日付June 14, 2022 14:53:03 UTC 2022 年 6 月 14 日 (火) 23 時 53 分 3 秒 (日本時間)
composite number 合成数
81991221850151712033257901409231193758262736064036840635075731616154419439949063660246471267448580194765906579767280639554148699279947435144943516529995781693<158>
prime factors 素因数
68465256354173896597161255528828166929958003<44>
649665115943665715545338694493150029779242561289637<51>
1843349018452722442617719373551158479208881762084693976178179363<64>
factorization results 素因数分解の結果
Number: n
N=81991221850151712033257901409231193758262736064036840635075731616154419439949063660246471267448580194765906579767280639554148699279947435144943516529995781693  ( 158 digits)
SNFS difficulty: 163 digits.
Divisors found:

Wed Jun 15 00:48:05 2022  found factor: 68465256354173896597161255528828166929958003
Wed Jun 15 00:48:46 2022  found factor: 68465256354173896597161255528828166929958003
Wed Jun 15 00:49:28 2022  p44 factor: 68465256354173896597161255528828166929958003
Wed Jun 15 00:49:28 2022  p51 factor: 649665115943665715545338694493150029779242561289637
Wed Jun 15 00:49:28 2022  p64 factor: 1843349018452722442617719373551158479208881762084693976178179363
Wed Jun 15 00:49:28 2022  elapsed time 00:10:38 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 29x10^163+52 = 32(162)8
#
n: 81991221850151712033257901409231193758262736064036840635075731616154419439949063660246471267448580194765906579767280639554148699279947435144943516529995781693
m: 100000000000000000000000000000000
deg: 5
c5: 7250
c0: 13
skew: 0.28
# Murphy_E = 2.993e-10
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 14700000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1199220 hash collisions in 12158860 relations (11705001 unique)
Msieve: matrix is 610097 x 610324 (210.2 MB)

Sieving start time : 2022/06/14 23:40:14
Sieving end time  : 2022/06/15 00:38:35

Total sieving time: 0hrs 58min 21secs.

Total relation processing time: 0hrs 5min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 4sec.

Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.117895] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197196K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530040K reserved, 0K cma-reserved)
[    0.154151] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.32 BogoMIPS (lpj=12798644)
[    0.152036] smpboot: Total of 16 processors activated (102389.15 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10165+529

c133

name 名前Bob Backstrom
date 日付June 21, 2022 06:33:19 UTC 2022 年 6 月 21 日 (火) 15 時 33 分 19 秒 (日本時間)
composite number 合成数
3416206901478786272904951077961374734446254258483565625842960825115900381956366077273376333349235205846144693567565834302609375662489<133>
prime factors 素因数
1235300662402169183509184723888878195758613<43>
1438971331700147440383946449559837048923971<43>
1921849387937337482029143947015718860061410490343<49>
factorization results 素因数分解の結果
Number: n
N=2765486173087303790879446813773840236437791853365272205511001269701309560486659139636712053  ( 91 digits)
SNFS difficulty: 166 digits.
Divisors found:

Tue Jun 21 16:29:44 2022  p43 factor: 1438971331700147440383946449559837048923971
Tue Jun 21 16:29:44 2022  p49 factor: 1921849387937337482029143947015718860061410490343
Tue Jun 21 16:29:44 2022  elapsed time 00:09:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 29x10^165+52 = 32(164)8
#
# n: 3416206901478786272904951077961374734446254258483565625842960825115900381956366077273376333349235205846144693567565834302609375662489
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 3416206901478786272904951077961374734446254258483565625842960825115900381956366077273376333349235205846144693567565834302609375662489 (133 digits)
# Using B1=31880000, B2=144291357226, polynomial Dickson(12), sigma=1:1382352291
# Step 1 took 46332ms
# Step 2 took 17957ms
# ********** Factor found in step 2: 1235300662402169183509184723888878195758613
# Found prime factor of 43 digits: 1235300662402169183509184723888878195758613
# Composite cofactor 2765486173087303790879446813773840236437791853365272205511001269701309560486659139636712053 has 91 digits
#
n: 2765486173087303790879446813773840236437791853365272205511001269701309560486659139636712053
m: 1000000000000000000000000000000000
deg: 5
c5: 29
c0: 52
skew: 1.12
# Murphy_E = 3.221e-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, 14900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1092025 hash collisions in 11849757 relations (11498296 unique)
Msieve: matrix is 623425 x 623651 (215.6 MB)

Sieving start time : 2022/06/21 15:14:13
Sieving end time  : 2022/06/21 16:19:59

Total sieving time: 1hrs 5min 46secs.

Total relation processing time: 0hrs 5min 57sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 36sec.

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) ----------
[    0.118494] 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10166+529

c125

name 名前Eric Jeancolas
date 日付June 22, 2022 15:08:17 UTC 2022 年 6 月 23 日 (木) 0 時 8 分 17 秒 (日本時間)
composite number 合成数
59757765844137296389684372938107143465395719630100674322003769751388160972859373117519782585038368316107106659393258881594441<125>
prime factors 素因数
14338038370193176131920847266134466730360415770446849<53>
4167778346050846918614488538663366185419254915665871631810743361238747209<73>
factorization results 素因数分解の結果
59757765844137296389684372938107143465395719630100674322003769751388160972859373117519782585038368316107106659393258881594441=14338038370193176131920847266134466730360415770446849*4167778346050846918614488538663366185419254915665871631810743361238747209

cado polynomial
n: 59757765844137296389684372938107143465395719630100674322003769751388160972859373117519782585038368316107106659393258881594441
skew: 0.71
type: snfs
c0: 26
c5: 145
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 145*x^5+26
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4300000
tasks.lim1 = 4300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 51
tasks.sieve.mfb1 = 51
tasks.sieve.lambda0 = 2.4
tasks.sieve.lambda1 = 2.4
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 14338038370193176131920847266134466730360415770446849 4167778346050846918614488538663366185419254915665871631810743361238747209
Info:Square Root: Total cpu/real time for sqrt: 242.66/75.2564
Info:Filtering - Singleton removal: Total cpu/real time for purge: 57.45/58.4392
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11642000
Info:Lattice Sieving: Average J: 1893.33 for 469393 special-q, max bucket fill -bkmult 1.0,1s:1.246460
Info:Lattice Sieving: Total time: 57362.9s
Info:Linear Algebra: Total cpu/real time for bwc: 6115.22/1573.29
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 3828.61, WCT time 978.91, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (19968 iterations)
Info:Linear Algebra: Lingen CPU time 105.54, WCT time 26.85
Info:Linear Algebra: Mksol: CPU time 2084.2,  WCT time 532.53, iteration CPU time 0.05, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (9984 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 59.38/16.8788
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 45.66/50.1874
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 50.1s
Info:Filtering - Merging: Merged matrix has 632719 rows and total weight 107868383 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 135.83/38.1551
Info:Filtering - Merging: Total cpu/real time for replay: 21.29/17.9065
Info:Generate Factor Base: Total cpu/real time for makefb: 1.89/1.05266
Info:Quadratic Characters: Total cpu/real time for characters: 20.74/8.17562
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 103.74/89.4551
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 80.5s
Info:Square Root: Total cpu/real time for sqrt: 242.66/75.2564
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 112680/30798.6
Info:root: Cleaning up computation data in /tmp/cado.9x632mxf
14338038370193176131920847266134466730360415770446849 4167778346050846918614488538663366185419254915665871631810743361238747209
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10167+529

c156

name 名前Bob Backstrom
date 日付June 15, 2022 01:15:58 UTC 2022 年 6 月 15 日 (水) 10 時 15 分 58 秒 (日本時間)
composite number 合成数
249482337858170817644603649974958460869370349201355717121608184860592035261097004096718372081637367914503625236790283217217089245355091933221801039541760591<156>
prime factors 素因数
1802601506524963667388809<25>
138401270028404813370450721008707497354156625272036305559195982399067663289220371634754900244344502040528041933857320439525867896599<132>
factorization results 素因数分解の結果
Number: n
N=249482337858170817644603649974958460869370349201355717121608184860592035261097004096718372081637367914503625236790283217217089245355091933221801039541760591  ( 156 digits)
SNFS difficulty: 167 digits.
Divisors found:

Wed Jun 15 11:08:41 2022  p25 factor: 1802601506524963667388809
Wed Jun 15 11:08:41 2022  p132 factor: 138401270028404813370450721008707497354156625272036305559195982399067663289220371634754900244344502040528041933857320439525867896599
Wed Jun 15 11:08:41 2022  elapsed time 00:09:19 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 29x10^167+52 = 32(166)8
#
n: 249482337858170817644603649974958460869370349201355717121608184860592035261097004096718372081637367914503625236790283217217089245355091933221801039541760591
m: 1000000000000000000000000000000000
deg: 5
c5: 725
c0: 13
skew: 0.45
# Murphy_E = 2.854e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 15000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1208877 hash collisions in 12168546 relations (11693838 unique)
Msieve: matrix is 583979 x 584205 (201.9 MB)

Sieving start time : 2022/06/15 09:43:55
Sieving end time  : 2022/06/15 10:59:07

Total sieving time: 1hrs 15min 12secs.

Total relation processing time: 0hrs 5min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 14sec.

Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10168+529

c140

name 名前Bob Backstrom
date 日付June 17, 2022 18:32:25 UTC 2022 年 6 月 18 日 (土) 3 時 32 分 25 秒 (日本時間)
composite number 合成数
26637572969774624100069352762249995742251439038532076589488611641111344281390369550080303775143600381441101293251977125581046564472414479347<140>
prime factors 素因数
43945292827836625902022698196310437140122520719221<50>
606153042923891238809183346904926291418126273415328472245585046086983304597841291994308807<90>
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 26637572969774624100069352762249995742251439038532076589488611641111344281390369550080303775143600381441101293251977125581046564472414479347 (140 digits)
Using B1=38260000, B2=192391699516, polynomial Dickson(12), sigma=1:1348519592
Step 1 took 75186ms
Step 2 took 25863ms
********** Factor found in step 2: 43945292827836625902022698196310437140122520719221
Found prime factor of 50 digits: 43945292827836625902022698196310437140122520719221
Prime cofactor 606153042923891238809183346904926291418126273415328472245585046086983304597841291994308807 has 90 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10171+529

c110

name 名前Eric Jeancolas
date 日付June 13, 2022 07:21:49 UTC 2022 年 6 月 13 日 (月) 16 時 21 分 49 秒 (日本時間)
composite number 合成数
60285425340377470937456182914450093111701666484784473810603534017111118160007793767944931148002103350444931221<110>
prime factors 素因数
3101933370231560179003605107729441<34>
62714196107637411153813423502269193<35>
309894597283500599883234896102869873087117<42>
factorization results 素因数分解の結果
60285425340377470937456182914450093111701666484784473810603534017111118160007793767944931148002103350444931221=3101933370231560179003605107729441*62714196107637411153813423502269193*309894597283500599883234896102869873087117

cado polynomial
n: 60285425340377470937456182914450093111701666484784473810603534017111118160007793767944931148002103350444931221
skew: 10891.651
c0: 20319497796484474694856049
c1: 2093345971410893656710
c2: -672912139365935570
c3: -29970367492041
c4: 5977974130
c5: 29400
Y0: 732429658379926861788
Y1: 46715242286561501
# MurphyE (Bf=6.711e+07,Bg=3.355e+07,area=4.194e+12) = 1.505e-06
# f(x) = 29400*x^5+5977974130*x^4-29970367492041*x^3-672912139365935570*x^2+2093345971410893656710*x+20319497796484474694856049
# g(x) = 46715242286561501*x+732429658379926861788

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

cado log (extracts)
Info:Square Root: Factors: 62714196107637411153813423502269193 3101933370231560179003605107729441 309894597283500599883234896102869873087117
Info:Square Root: Total cpu/real time for sqrt: 177.32/135.633
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 85.93/140.354
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 108.09999999999998s
Info:Square Root: Total cpu/real time for sqrt: 177.32/135.633
Info:Filtering - Singleton removal: Total cpu/real time for purge: 62.5/102.873
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 5193694
Info:Lattice Sieving: Average J: 1896.73 for 88425 special-q, max bucket fill -bkmult 1.0,1s:1.309820
Info:Lattice Sieving: Total time: 17569.9s
Info:Generate Factor Base: Total cpu/real time for makefb: 2.26/1.93163
Info:Linear Algebra: Total cpu/real time for bwc: 1440.08/1407.66
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 711.05, WCT time 704.15, iteration CPU time 0.05, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (9472 iterations)
Info:Linear Algebra: Lingen CPU time 312.39, WCT time 284.4
Info:Linear Algebra: Mksol: CPU time 390.96,  WCT time 395.14, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (4736 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 20.88/36.9237
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 35.5s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 243.79
Info:Polynomial Selection (root optimized): Rootsieve time: 242.75
Info:Generate Free Relations: Total cpu/real time for freerel: 63.67/43.6904
Info:Filtering - Merging: Merged matrix has 299810 rows and total weight 46843631 (156.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 49.09/39.9257
Info:Filtering - Merging: Total cpu/real time for replay: 10.93/12.382
Info:Quadratic Characters: Total cpu/real time for characters: 11.6/10.1798
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 11711.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 11926/31.790/39.013/44.280/1.113
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 9249/31.010/34.550/39.620/0.865
Info:Polynomial Selection (size optimized): Total time: 724.51
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 18329.2/11149.8
Info:root: Cleaning up computation data in /tmp/cado.3rf03cy9
62714196107637411153813423502269193 3101933370231560179003605107729441 309894597283500599883234896102869873087117
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10173+529

c143

name 名前Bob Backstrom
date 日付June 19, 2022 04:26:32 UTC 2022 年 6 月 19 日 (日) 13 時 26 分 32 秒 (日本時間)
composite number 合成数
11092462707271321357723934455518688513901571337597305093684202374958939875270371802040581336105846757383905291792420754164502365684113664117143<143>
prime factors 素因数
1580257406356779113045695703<28>
40311983064047705026953961759842146711698215520628107169<56>
174126944765782738804030756904058867863274976344801558418849<60>
factorization results 素因数分解の結果
Number: n
N=11092462707271321357723934455518688513901571337597305093684202374958939875270371802040581336105846757383905291792420754164502365684113664117143  ( 143 digits)
SNFS difficulty: 173 digits.
Divisors found:

Sun Jun 19 14:18:32 2022  found factor: 40311983064047705026953961759842146711698215520628107169
Sun Jun 19 14:21:25 2022  p28 factor: 1580257406356779113045695703
Sun Jun 19 14:21:25 2022  p56 factor: 40311983064047705026953961759842146711698215520628107169
Sun Jun 19 14:21:25 2022  p60 factor: 174126944765782738804030756904058867863274976344801558418849
Sun Jun 19 14:21:25 2022  elapsed time 00:24:57 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.322).
Factorization parameters were as follows:
#
# N = 29x10^173+52 = 32(172)8
#
n: 11092462707271321357723934455518688513901571337597305093684202374958939875270371802040581336105846757383905291792420754164502365684113664117143
m: 10000000000000000000000000000000000
deg: 5
c5: 7250
c0: 13
skew: 0.28
# Murphy_E = 1.208e-10
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 22750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1325716 hash collisions in 11840934 relations (11200525 unique)
Msieve: matrix is 1051537 x 1051762 (365.1 MB)

Sieving start time : 2022/06/19 12:01:14
Sieving end time  : 2022/06/19 13:56:14

Total sieving time: 1hrs 55min 0secs.

Total relation processing time: 0hrs 17min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 22sec.

Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10175+529

c143

name 名前Bob Backstrom
date 日付June 15, 2022 09:44:42 UTC 2022 年 6 月 15 日 (水) 18 時 44 分 42 秒 (日本時間)
composite number 合成数
65726050025488206355261287554287394998431941847825319454158676106715825077819639522898874217229914511537236328767602520449225123232946810219339<143>
prime factors 素因数
36413006399357441889114542071565618193303684113<47>
1805015749170550055574834814290696546092781797117883360346372705030299505356248099136043960559003<97>
factorization results 素因数分解の結果
Number: n
N=65726050025488206355261287554287394998431941847825319454158676106715825077819639522898874217229914511537236328767602520449225123232946810219339  ( 143 digits)
SNFS difficulty: 176 digits.
Divisors found:

Wed Jun 15 19:40:15 2022  p47 factor: 36413006399357441889114542071565618193303684113
Wed Jun 15 19:40:15 2022  p97 factor: 1805015749170550055574834814290696546092781797117883360346372705030299505356248099136043960559003
Wed Jun 15 19:40:15 2022  elapsed time 00:21:10 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.326).
Factorization parameters were as follows:
#
# N = 29x10^175+52 = 32(174)8
#
n: 65726050025488206355261287554287394998431941847825319454158676106715825077819639522898874217229914511537236328767602520449225123232946810219339
m: 100000000000000000000000000000000000
deg: 5
c5: 29
c0: 52
skew: 1.12
# Murphy_E = 1.291e-10
type: snfs
lss: 1
rlim: 6100000
alim: 6100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 15850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 4328256 hash collisions in 30466490 relations (27696152 unique)
Msieve: matrix is 887242 x 887469 (302.4 MB)

Sieving start time : 2022/06/15 17:35:19
Sieving end time  : 2022/06/15 19:18:38

Total sieving time: 1hrs 43min 19secs.

Total relation processing time: 0hrs 11min 56sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 15sec.

Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,6100000,6100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 14, 2022 17:38:21 UTC 2022 年 6 月 15 日 (水) 2 時 38 分 21 秒 (日本時間)

29×10176+529

c152

name 名前Ignacio Santos
date 日付June 14, 2022 17:54:55 UTC 2022 年 6 月 15 日 (水) 2 時 54 分 55 秒 (日本時間)
composite number 合成数
56546415214450296434223034934187599579305446630063216300849380697810684279191240335987275857864831411755312823719792604453470574648027848242179280252497<152>
prime factors 素因数
10903834119838187198487257250483474833<38>
5185920346272604955391171899880977912035874421850967295976309767480972920165497191103990403779827095617761206563009<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1070683018
Step 1 took 5938ms
Step 2 took 3391ms
********** Factor found in step 2: 10903834119838187198487257250483474833
Found prime factor of 38 digits: 10903834119838187198487257250483474833
Prime cofactor 5185920346272604955391171899880977912035874421850967295976309767480972920165497191103990403779827095617761206563009 has 115 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10178+529

c148

name 名前Eric Jeancolas
date 日付June 26, 2022 15:10:02 UTC 2022 年 6 月 27 日 (月) 0 時 10 分 2 秒 (日本時間)
composite number 合成数
1963572979301207759388818689095660686394531188756848765827655025352909198977684998334129551456354882607226938000973647032701106105006994568426574147<148>
prime factors 素因数
7249925402808864151778839927317299534920666111127653<52>
270840439067201127233794187044211790001458240807831000656544967422425879945903866213350551870599<96>
factorization results 素因数分解の結果
1963572979301207759388818689095660686394531188756848765827655025352909198977684998334129551456354882607226938000973647032701106105006994568426574147=7249925402808864151778839927317299534920666111127653*270840439067201127233794187044211790001458240807831000656544967422425879945903866213350551870599

cado polynomial
n: 1963572979301207759388818689095660686394531188756848765827655025352909198977684998334129551456354882607226938000973647032701106105006994568426574147
skew: 0.28
type: snfs
c0: 13
c5: 7250
Y0: 100000000000000000000000000000000000
Y1: -1
# f(x) = 7250*x^5+13
# g(x) = -x+100000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 6700000
tasks.lim1 = 6700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 7249925402808864151778839927317299534920666111127653 270840439067201127233794187044211790001458240807831000656544967422425879945903866213350551870599
Info:Square Root: Total cpu/real time for sqrt: 316.83/99.5847
Info:Generate Free Relations: Total cpu/real time for freerel: 119.4/32.5643
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.11/114.076
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22423202
Info:Lattice Sieving: Average J: 1895.36 for 1181992 special-q, max bucket fill -bkmult 1.0,1s:1.167220
Info:Lattice Sieving: Total time: 185010s
Info:Linear Algebra: Total cpu/real time for bwc: 21827.8/5610.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 13879.0, WCT time 3557.2, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (37120 iterations)
Info:Linear Algebra: Lingen CPU time 227.8, WCT time 57.81
Info:Linear Algebra: Mksol: CPU time 7525.68,  WCT time 1922.29, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (18688 iterations)
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.37/105.72
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 105.6s
Info:Filtering - Merging: Merged matrix has 1180355 rows and total weight 200828198 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 283.43/79.0577
Info:Filtering - Merging: Total cpu/real time for replay: 42.35/35.7171
Info:Generate Factor Base: Total cpu/real time for makefb: 2.92/1.59246
Info:Quadratic Characters: Total cpu/real time for characters: 39.85/15.8055
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 214.55/179.444
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 165.8s
Info:Square Root: Total cpu/real time for sqrt: 316.83/99.5847
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 366805/99117.3
Info:root: Cleaning up computation data in /tmp/cado.bl_w3kv0
7249925402808864151778839927317299534920666111127653 270840439067201127233794187044211790001458240807831000656544967422425879945903866213350551870599
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 15, 2022 19:20:58 UTC 2022 年 6 月 16 日 (木) 4 時 20 分 58 秒 (日本時間)

29×10179+529

c156

name 名前Ignacio Santos
date 日付June 15, 2022 19:43:48 UTC 2022 年 6 月 16 日 (木) 4 時 43 分 48 秒 (日本時間)
composite number 合成数
149165208499856135639621887790730604738223769343369787758460783607053892510899919199608233196873003821215879484151287708132958658510473604055965636151893909<156>
prime factors 素因数
125832832831326201560773<24>
1185423590517158867524010252057699503989564558278307015532898644711741142909421629153061159690681738529555855415203733538093901490833<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3274113837
Step 1 took 7109ms
Step 2 took 3719ms
********** Factor found in step 2: 125832832831326201560773
Found prime factor of 24 digits: 125832832831326201560773
Prime cofactor 1185423590517158867524010252057699503989564558278307015532898644711741142909421629153061159690681738529555855415203733538093901490833 has 133 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10181+529

c148

name 名前Erik Branger
date 日付August 15, 2022 15:58:56 UTC 2022 年 8 月 16 日 (火) 0 時 58 分 56 秒 (日本時間)
composite number 合成数
1714680345881411504270561172643175931517614389388933339748341377262785627560239531292617303274255883783450720862390237601369511476208679137062084063<148>
prime factors 素因数
133118723249419087638622038378406282274161262022706556285321485809559033<72>
12880835272651205665055216225135276297476611781841459761805122425737092085911<77>
factorization results 素因数分解の結果
Number: 32228_181
N = 1714680345881411504270561172643175931517614389388933339748341377262785627560239531292617303274255883783450720862390237601369511476208679137062084063 (148 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=133118723249419087638622038378406282274161262022706556285321485809559033 (pp72)
r2=12880835272651205665055216225135276297476611781841459761805122425737092085911 (pp77)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 8.02 hours.
Factorization parameters were as follows:
n: 1714680345881411504270561172643175931517614389388933339748341377262785627560239531292617303274255883783450720862390237601369511476208679137062084063 
m: 1000000000000000000000000000000000000000000000000000000000000
deg: 3
c3: 145
c0: 26
skew: 1.00
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
rlambda: 2.8
alambda: 2.8
side: 1
maxa: 10000000
maxb: 10000000
Number of cores used: 8
Number of threads per core: 1
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 29/26
Total raw relations: 17838718
Relations: 4547126 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 1.67 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 3486049 x 3486297
Matrix solve time: 5.87 hours.
time per square root: 0.20 hours.
Prototype def-par.txt line would be: snfs,183,3,0,0,0,0,0,0,0,0,10000000,10000000,29,26,58,52,2.8,2.8,100000
total time: 8.02 hours.
Intel64 Family 6 Model 165 Stepping 5, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 16, speed: 3.79GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 16, 2022 15:00:39 UTC 2022 年 6 月 17 日 (金) 0 時 0 分 39 秒 (日本時間)

29×10182+529

c151

name 名前Eric Jeancolas
date 日付June 29, 2022 14:38:40 UTC 2022 年 6 月 29 日 (水) 23 時 38 分 40 秒 (日本時間)
composite number 合成数
6273911682435574131977866923878047848995458192452667234303182677243598571793820669058324192627549642144110240741701371572127499231053784182397496543337<151>
prime factors 素因数
3628229375894985145233928377998177997209474439223914053085460310479<67>
1729193783644941517068444112537794807671966350952916388435743374033622622872211116103<85>
factorization results 素因数分解の結果
6273911682435574131977866923878047848995458192452667234303182677243598571793820669058324192627549642144110240741701371572127499231053784182397496543337=3628229375894985145233928377998177997209474439223914053085460310479*1729193783644941517068444112537794807671966350952916388435743374033622622872211116103

cado polynomial
n: 6273911682435574131977866923878047848995458192452667234303182677243598571793820669058324192627549642144110240741701371572127499231053784182397496543337
skew: 0.45
type: snfs
c0: 13
c5: 725
Y0: 1000000000000000000000000000000000000
Y1: -1
# f(x) = 725*x^5+13
# g(x) = -x+1000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 7800000
tasks.lim1 = 7800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 53
tasks.sieve.mfb1 = 53
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 3628229375894985145233928377998177997209474439223914053085460310479 1729193783644941517068444112537794807671966350952916388435743374033622622872211116103
Info:Square Root: Total cpu/real time for sqrt: 306.33/96.5447
Info:Quadratic Characters: Total cpu/real time for characters: 41.85/17.1679
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 215.78/182.381
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 168.2s
Info:Square Root: Total cpu/real time for sqrt: 306.33/96.5447
Info:Linear Algebra: Total cpu/real time for bwc: 24261.8/6226.56
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 15433.8, WCT time 3947.4, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (39168 iterations)
Info:Linear Algebra: Lingen CPU time 238.85, WCT time 60.65
Info:Linear Algebra: Mksol: CPU time 8378.46,  WCT time 2140.09, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (19712 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 109.45/114.439
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 22420031
Info:Lattice Sieving: Average J: 1894.06 for 1182266 special-q, max bucket fill -bkmult 1.0,1s:1.156320
Info:Lattice Sieving: Total time: 202172s
Info:Generate Free Relations: Total cpu/real time for freerel: 118.9/32.518
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 91.77/106.456
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 106.4s
Info:Filtering - Merging: Merged matrix has 1245785 rows and total weight 211871289 (170.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 305.28/84.8445
Info:Filtering - Merging: Total cpu/real time for replay: 44.67/38.1513
Info:Generate Factor Base: Total cpu/real time for makefb: 3.37/1.83464
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 402745/108425
Info:root: Cleaning up computation data in /tmp/cado.5s29ufb_
3628229375894985145233928377998177997209474439223914053085460310479 1729193783644941517068444112537794807671966350952916388435743374033622622872211116103
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 18, 2022 08:11:59 UTC 2022 年 6 月 18 日 (土) 17 時 11 分 59 秒 (日本時間)

29×10183+529

c158

name 名前Bob Backstrom
date 日付June 19, 2022 13:26:48 UTC 2022 年 6 月 19 日 (日) 22 時 26 分 48 秒 (日本時間)
composite number 合成数
39253704198357664469893656180920935240079826819067499481318199880478849911206620754249470861293608254030679713630539047098719936521378825414079953255037117839<158>
prime factors 素因数
1977861703337093556615781<25>
55144100812190177796308017<26>
205622808386748564421747979<27>
1750307598392327003194394014691299063003286209415075003191797206434997642835740633<82>
factorization results 素因数分解の結果
Number: n
N=39253704198357664469893656180920935240079826819067499481318199880478849911206620754249470861293608254030679713630539047098719936521378825414079953255037117839  ( 158 digits)
SNFS difficulty: 183 digits.
Divisors found:

Sun Jun 19 23:13:56 2022  found factor: 1977861703337093556615781
Sun Jun 19 23:17:53 2022  found factor: 55144100812190177796308017
Sun Jun 19 23:23:09 2022  p25 factor: 1977861703337093556615781
Sun Jun 19 23:23:09 2022  p26 factor: 55144100812190177796308017
Sun Jun 19 23:23:09 2022  p27 factor: 205622808386748564421747979
Sun Jun 19 23:23:09 2022  p82 factor: 1750307598392327003194394014691299063003286209415075003191797206434997642835740633
Sun Jun 19 23:23:09 2022  elapsed time 00:34:38 (Msieve 1.54 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.347).
Factorization parameters were as follows:
#
# N = 29x10^183+52 = 32(182)8
#
n: 39253704198357664469893656180920935240079826819067499481318199880478849911206620754249470861293608254030679713630539047098719936521378825414079953255037117839
m: 1000000000000000000000000000000000000
deg: 5
c5: 7250
c0: 13
skew: 0.28
# Murphy_E = 4.785e-11
type: snfs
lss: 1
rlim: 8100000
alim: 8100000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8100000/8100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved  special-q in [100000, 16850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3579338 hash collisions in 28545562 relations (26544524 unique)
Msieve: matrix is 1029780 x 1030008 (353.6 MB)

Sieving start time : 2022/06/19 18:24:09
Sieving end time  : 2022/06/19 22:48:03

Total sieving time: 4hrs 23min 54secs.

Total relation processing time: 0hrs 17min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 10min 33sec.

Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,8100000,8100000,28,28,53,53,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10184+529

c174

name 名前Bob Backstrom
date 日付June 20, 2022 17:34:01 UTC 2022 年 6 月 21 日 (火) 2 時 34 分 1 秒 (日本時間)
composite number 合成数
282680787102595723463992269835962628412872885190744636772832864552958381714150533323258822464099046779492075787266276613562728632362192663306144672924204972069286441165300159<174>
prime factors 素因数
291964884849321744303734518355082069081029863251841273299648784391<66>
968201320677596587091331548462317370258882466989060131546345838260439717289048178234723035106762620999015049<108>
factorization results 素因数分解の結果
Number: n
N=282680787102595723463992269835962628412872885190744636772832864552958381714150533323258822464099046779492075787266276613562728632362192663306144672924204972069286441165300159  ( 174 digits)
SNFS difficulty: 185 digits.
Divisors found:

Tue Jun 21 03:26:43 2022  p66 factor: 291964884849321744303734518355082069081029863251841273299648784391
Tue Jun 21 03:26:43 2022  p108 factor: 968201320677596587091331548462317370258882466989060131546345838260439717289048178234723035106762620999015049
Tue Jun 21 03:26:43 2022  elapsed time 00:29:26 (Msieve 1.54 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 29x10^184+52 = 32(183)8
#
n: 282680787102595723463992269835962628412872885190744636772832864552958381714150533323258822464099046779492075787266276613562728632362192663306144672924204972069286441165300159
m: 5000000000000000000000000000000000000
deg: 5
c5: 116
c0: 65
skew: 0.89
# Murphy_E = 5.151e-11
type: snfs
lss: 1
rlim: 8700000
alim: 8700000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8700000/8700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 17150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3213323 hash collisions in 28985567 relations (27499574 unique)
Msieve: matrix is 1051098 x 1051325 (363.3 MB)

Sieving start time : 2022/06/20 23:44:34
Sieving end time  : 2022/06/21 02:56:24

Total sieving time: 3hrs 11min 50secs.

Total relation processing time: 0hrs 17min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 35sec.

Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8700000,8700000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 18, 2022 20:16:32 UTC 2022 年 6 月 19 日 (日) 5 時 16 分 32 秒 (日本時間)

29×10185+529

c158

name 名前Ignacio Santos
date 日付June 18, 2022 20:18:25 UTC 2022 年 6 月 19 日 (日) 5 時 18 分 25 秒 (日本時間)
composite number 合成数
10540685977299650195175149545117472089546980454608343770245828618318323302111416062013662773463402050581113082803750181424420577420690075294740173832626418163<158>
prime factors 素因数
11873341675734810007721<23>
887760688201311679765464463154740610789935377344056689054267553044277677225266121633520415706355488905233991451907279702563848034995003<135>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:857112806
Step 1 took 7188ms
Step 2 took 3703ms
********** Factor found in step 2: 11873341675734810007721
Found prime factor of 23 digits: 11873341675734810007721
Prime cofactor 887760688201311679765464463154740610789935377344056689054267553044277677225266121633520415706355488905233991451907279702563848034995003 has 135 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10186+529

c162

name 名前Bob Backstrom
date 日付July 10, 2022 07:11:13 UTC 2022 年 7 月 10 日 (日) 16 時 11 分 13 秒 (日本時間)
composite number 合成数
148406256892789058204351384954189012242053559641391182501003647139648130417728221124849543223107059494695773823184523875177705435352073646464073923114912409287581<162>
prime factors 素因数
1096699369490975711340382058505806570409888532931<49>
98793880894941014892501046687147760804207025054373<50>
1369728750295124540626394815433644774530728816134876224156463987<64>
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 148406256892789058204351384954189012242053559641391182501003647139648130417728221124849543223107059494695773823184523875177705435352073646464073923114912409287581 (162 digits)
Using B1=15510000, B2=46847878360, polynomial Dickson(12), sigma=1:792625371
Step 1 took 36094ms
Step 2 took 13567ms
********** Factor found in step 2: 98793880894941014892501046687147760804207025054373
Found prime factor of 50 digits: 98793880894941014892501046687147760804207025054373
Composite cofactor 1502180656822325195000903381618582665555561496248672260870784401219724734316803391636808295935760316631965055897 has 112 digits


CADO


STA:Sun 10 Jul 2022 11:35:21 AEST (1,502,180,656,822,325,195,000,903,381,618,582,665,555,561,496,248,672,260,870,784,401,219,724,734,316,803,391,636,808,295,935,760,316,631,965,055,897 - C112)

/home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1502180656822325195000903381618582665555561496248672260870784401219724734316803391636808295935760316631965055897 2>&1 | tee -a log169

Debug:root: Looking for parameter file for c112 in directory /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor
Info:root: Using default parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Debug:Parameters: Reading parameter file /home/bob/cado-nfs/cado-nfs-2.3.0/parameters/factor/params.c110
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.86q2jr4t
Info:Database: Opened connection to database /tmp/cado.86q2jr4t/c110.db
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/bob/cado-nfs/cado-nfs-2.3.0
Info:root: Command line parameters: /home/bob/cado-nfs/cado-nfs-2.3.0/cado-nfs.py -t 16 --no-colors --screenlog DEBUG 1502180656822325195000903381618582665555561496248672260870784401219724734316803391636808295935760316631965055897
Debug:root: Root parameter dictionary:
N = 1502180656822325195000903381618582665555561496248672260870784401219724734316803391636808295935760316631965055897
lim0 = 2910696
lim1 = 3533488
lpb0 = 25
lpb1 = 25
name = c110
===
Debug:Polynomial Selection (root optimized): New best polynomial is:
n: 1502180656822325195000903381618582665555561496248672260870784401219724734316803391636808295935760316631965055897
skew: 5396.079
c0: -4819342868921260406130516
c1: -1507557462790854026007
c2: -697885148910913366
c3: -555127668877448
c4: 37125583992
c5: 231840
Y0: 1058279210066822377235
Y1: 101612472427696271
# MurphyE (Bf=3.53e+06,Bg=2.91e+06,area=2.96e+13) = 3.84e-09
# f(x) = 231840*x^5+37125583992*x^4-555127668877448*x^3-697885148910913366*x^2-1507557462790854026007*x-4819342868921260406130516
# g(x) = 101612472427696271*x+1058279210066822377235
===
Info:Square Root: finished
Info:Square Root: Factors: 1096699369490975711340382058505806570409888532931 1369728750295124540626394815433644774530728816134876224156463987
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 27840.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 28438/31.950/39.309/44.560/0.930
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 28438/31.950/35.701/40.080/1.238
Info:Polynomial Selection (size optimized): Total time: 985.89
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 269.87
Info:Polynomial Selection (root optimized): Rootsieve time: 268.99
Info:Generate Factor Base: Total cpu/real time for makefb: 3.27/0.55829
Info:Generate Free Relations: Total cpu/real time for freerel: 30.22/3.48567
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 3859495
Info:Lattice Sieving: Average J: 1901.22 for 110651 special-q, max bucket fill: 0.796035
Info:Lattice Sieving: Total CPU time: 27953.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 10.11/18.3935
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 17.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 70.71/53.185
Info:Filtering - Singleton removal: Total cpu/real time for purge: 55.2/48.9201
Info:Filtering - Merging: Total cpu/real time for merge: 152.2/156.763
Info:Filtering - Merging: Total cpu/real time for replay: 14.94/12.7962
Info:Linear Algebra: Total cpu/real time for bwc: 4386.97/0.000196457
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 183.85
Info:Linear Algebra: Lingen CPU time 2518.3, WCT time 330.54
Info:Linear Algebra: Mksol: WCT time 102.23
Info:Quadratic Characters: Total cpu/real time for characters: 10.99/3.68916
Info:Square Root: Total cpu/real time for sqrt: 412.4/61.4996
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 34356.5/4245.44
Info:root: Cleaning up computation data in /tmp/cado.86q2jr4t
1096699369490975711340382058505806570409888532931 1369728750295124540626394815433644774530728816134876224156463987

END:Sun 10 Jul 2022 12:46:07 AEST (1,502,180,656,822,325,195,000,903,381,618,582,665,555,561,496,248,672,260,870,784,401,219,724,734,316,803,391,636,808,295,935,760,316,631,965,055,897 - C112)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 14:51:36 UTC 2022 年 6 月 19 日 (日) 23 時 51 分 36 秒 (日本時間)

29×10187+529

c153

name 名前Ignacio Santos
date 日付June 19, 2022 15:19:02 UTC 2022 年 6 月 20 日 (月) 0 時 19 分 2 秒 (日本時間)
composite number 合成数
179040958035402203198488831234182291786901230054268405542778257699835985090740995930201668555466315620809356022631307765391243911770991865338343364306329<153>
prime factors 素因数
22152734639753515536623<23>
composite cofactor 合成数の残り
8082115411345635975108007791085858247652559925602690122142896386804730645749073631620233936759289848188542817993222011411404268023<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3491432633
Step 1 took 4906ms
********** Factor found in step 2: 22152734639753515536623
Found prime factor of 23 digits: 22152734639753515536623
Composite cofactor 8082115411345635975108007791085858247652559925602690122142896386804730645749073631620233936759289848188542817993222011411404268023 has 130 digits
 
software ソフトウェア
GMP-ECM

c130

name 名前Ignacio Santos
date 日付June 21, 2022 18:51:09 UTC 2022 年 6 月 22 日 (水) 3 時 51 分 9 秒 (日本時間)
composite number 合成数
8082115411345635975108007791085858247652559925602690122142896386804730645749073631620233936759289848188542817993222011411404268023<130>
prime factors 素因数
63751868050448584659837198312569<32>
126774566118596533415457913923103415889639312926882023478433756540832802572009184420493571481501167<99>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3453767738
Step 1 took 4797ms
Step 2 took 2985ms
********** Factor found in step 2: 63751868050448584659837198312569
Found prime factor of 32 digits: 63751868050448584659837198312569
Prime cofactor 126774566118596533415457913923103415889639312926882023478433756540832802572009184420493571481501167 has 99 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10188+529

c175

name 名前Bob Backstrom
date 日付June 20, 2022 13:46:45 UTC 2022 年 6 月 20 日 (月) 22 時 46 分 45 秒 (日本時間)
composite number 合成数
6259374654585032595853119905486666139343989682018018868242275328827393030047898487214404735229148761364742162843507431797728899973903282309192018399720640028039781413464669587<175>
prime factors 素因数
1034562983993748972936493825698843375185517842860429<52>
6050259627907635377498108254600683957484757782755926603939579855647259094684636229239787177796404571861724187337001860172703<124>
factorization results 素因数分解の結果
Number: n
N=6259374654585032595853119905486666139343989682018018868242275328827393030047898487214404735229148761364742162843507431797728899973903282309192018399720640028039781413464669587  ( 175 digits)
SNFS difficulty: 188 digits.
Divisors found:

Mon Jun 20 23:42:52 2022  p52 factor: 1034562983993748972936493825698843375185517842860429
Mon Jun 20 23:42:52 2022  p124 factor: 6050259627907635377498108254600683957484757782755926603939579855647259094684636229239787177796404571861724187337001860172703
Mon Jun 20 23:42:52 2022  elapsed time 00:38:57 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.328).
Factorization parameters were as follows:
#
# N = 29x10^188+52 = 32(187)8
#
n: 6259374654585032595853119905486666139343989682018018868242275328827393030047898487214404735229148761364742162843507431797728899973903282309192018399720640028039781413464669587
m: 10000000000000000000000000000000000000
deg: 5
c5: 7250
c0: 13
skew: 0.28
# Murphy_E = 2.992e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved  special-q in [100000, 24900000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3666128 hash collisions in 28892659 relations (26812129 unique)
Msieve: matrix is 1307135 x 1307360 (452.8 MB)

Sieving start time : 2022/06/20 16:53:06
Sieving end time  : 2022/06/20 23:03:04

Total sieving time: 6hrs 9min 58secs.

Total relation processing time: 0hrs 29min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 52sec.

Prototype def-par.txt line would be:
snfs,188,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118494] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16197192K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2752K init, 4948K bss, 530044K reserved, 0K cma-reserved)
[    0.153548] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.34 BogoMIPS (lpj=12798684)
[    0.152038] smpboot: Total of 16 processors activated (102389.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 19, 2022 15:50:10 UTC 2022 年 6 月 20 日 (月) 0 時 50 分 10 秒 (日本時間)

29×10189+529

c157

name 名前Bob Backstrom
date 日付July 11, 2022 03:38:40 UTC 2022 年 7 月 11 日 (月) 12 時 38 分 40 秒 (日本時間)
composite number 合成数
6102266008982856541794011700653379085781620335309847058796611271005356447446627315248408783398463352689146797267534570922736436599885395212350796268325387647<157>
prime factors 素因数
7893989892228190122792531039213672154781323<43>
773026833362261347796409853056749357654697194047609632791176156924495332998506779214045568485892178984092988311389<114>
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 6102266008982856541794011700653379085781620335309847058796611271005356447446627315248408783398463352689146797267534570922736436599885395212350796268325387647 (157 digits)
Using B1=23220000, B2=96188942866, polynomial Dickson(12), sigma=1:1797517603
Step 1 took 54167ms
Step 2 took 18955ms
********** Factor found in step 2: 7893989892228190122792531039213672154781323
Found prime factor of 43 digits: 7893989892228190122792531039213672154781323
Prime cofactor 773026833362261347796409853056749357654697194047609632791176156924495332998506779214045568485892178984092988311389 has 114 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 19:43:57 UTC 2022 年 6 月 22 日 (水) 4 時 43 分 57 秒 (日本時間)

29×10190+529

c167

name 名前Eric Jeancolas
date 日付June 20, 2022 18:53:52 UTC 2022 年 6 月 21 日 (火) 3 時 53 分 52 秒 (日本時間)
composite number 合成数
13128918373166486811216284957635292676993176798903546204387186281751626943875016095397533637829006650034394060473898371541829805284392935591599700243533780145777282661<167>
prime factors 素因数
52898022658084369060199<23>
composite cofactor 合成数の残り
248192989330197639955015116781898072416857442703360987648457164477724175387374876420844051367748504332121181924138330185043362984258179439085139<144>
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 13128918373166486811216284957635292676993176798903546204387186281751626943875016095397533637829006650034394060473898371541829805284392935591599700243533780145777282661 (167 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3944290519
Step 1 took 3038ms
Step 2 took 1805ms
********** Factor found in step 2: 52898022658084369060199
Found prime factor of 23 digits: 52898022658084369060199
Composite cofactor 248192989330197639955015116781898072416857442703360987648457164477724175387374876420844051367748504332121181924138330185043362984258179439085139 has 144 digits
software ソフトウェア
GMP-ECM 7.0.4
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)

c144

name 名前Ignacio Santos
date 日付June 22, 2022 16:26:11 UTC 2022 年 6 月 23 日 (木) 1 時 26 分 11 秒 (日本時間)
composite number 合成数
248192989330197639955015116781898072416857442703360987648457164477724175387374876420844051367748504332121181924138330185043362984258179439085139<144>
prime factors 素因数
6621989659379195474836750790880699611<37>
37480123361211269263946854715922533390063549142745249426736992493081303983317216986810292789953852579062249<107>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2534718562
Step 1 took 5953ms
Step 2 took 3391ms
********** Factor found in step 2: 6621989659379195474836750790880699611
Found prime factor of 37 digits: 6621989659379195474836750790880699611
Prime cofactor 37480123361211269263946854715922533390063549142745249426736992493081303983317216986810292789953852579062249 has 107 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10191+529

c175

name 名前Bob Backstrom
date 日付June 24, 2022 18:25:27 UTC 2022 年 6 月 25 日 (土) 3 時 25 分 27 秒 (日本時間)
composite number 合成数
9608817799019415483864460483008489460929516691240972124409165023468806486385630193388807827206329734153428210993576939657397964538450596722875696539996344819803684054966165471<175>
prime factors 素因数
479460395783501307261298297055457402553254785892125575513858491851164192637<75>
20040899902310688689336291392557507527801532164706328636484271014809565856853387246042639581899391883<101>
factorization results 素因数分解の結果
Number: n
N=9608817799019415483864460483008489460929516691240972124409165023468806486385630193388807827206329734153428210993576939657397964538450596722875696539996344819803684054966165471  ( 175 digits)
SNFS difficulty: 192 digits.
Divisors found:

Thu Jun 23 22:35:25 2022  p75 factor: 479460395783501307261298297055457402553254785892125575513858491851164192637
Thu Jun 23 22:35:25 2022  p101 factor: 20040899902310688689336291392557507527801532164706328636484271014809565856853387246042639581899391883
Thu Jun 23 22:35:25 2022  elapsed time 00:54:42 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.349).
Factorization parameters were as follows:
#
# N = 29x10^191+52 = 32(190)8
#
n: 9608817799019415483864460483008489460929516691240972124409165023468806486385630193388807827206329734153428210993576939657397964538450596722875696539996344819803684054966165471
m: 100000000000000000000000000000000000000
deg: 5
c5: 145
c0: 26
skew: 0.71
# Murphy_E = 2.526e-11
type: snfs
lss: 1
rlim: 11200000
alim: 11200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11200000/11200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 18400000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3539899 hash collisions in 28846635 relations (26924340 unique)
Msieve: matrix is 1498785 x 1499010 (520.3 MB)

Sieving start time : 2022/06/23 16:06:38
Sieving end time  : 2022/06/23 21:39:56

Total sieving time: 5hrs 33min 18secs.

Total relation processing time: 0hrs 42min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 53sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11200000,11200000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.116178] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196800K/16727236K available (14339K kernel code, 2401K rwdata, 9504K rodata, 2756K init, 4944K bss, 530436K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.13 BogoMIPS (lpj=12798268)
[    0.152034] smpboot: Total of 16 processors activated (102386.14 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10192+529

c156

name 名前Bob Backstrom
date 日付November 5, 2022 06:49:28 UTC 2022 年 11 月 5 日 (土) 15 時 49 分 28 秒 (日本時間)
composite number 合成数
725077008414258041389212894238778862868899152559916849358254461700341346259446049984528935622631466569152002442959871307294282157783184391253125517413125309<156>
prime factors 素因数
32542264946163908604530559711125939888793878000014942549<56>
22281086138711753196749707692843881799814476419433521466509382274608288993692526934703138157119479241<101>
factorization results 素因数分解の結果
Number: n
N=725077008414258041389212894238778862868899152559916849358254461700341346259446049984528935622631466569152002442959871307294282157783184391253125517413125309  ( 156 digits)
SNFS difficulty: 192 digits.
Divisors found:

Sat Nov  5 17:32:08 2022  p56 factor: 32542264946163908604530559711125939888793878000014942549
Sat Nov  5 17:32:08 2022  p101 factor: 22281086138711753196749707692843881799814476419433521466509382274608288993692526934703138157119479241
Sat Nov  5 17:32:08 2022  elapsed time 00:51:23 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.353).
Factorization parameters were as follows:
#
# N = 29x10^192+52 = 32(191)8
#
n: 725077008414258041389212894238778862868899152559916849358254461700341346259446049984528935622631466569152002442959871307294282157783184391253125517413125309
m: 100000000000000000000000000000000000000
deg: 5
c5: 725
c0: 13
skew: 0.45
# Murphy_E = 2.795e-11
type: snfs
lss: 1
rlim: 11500000
alim: 11500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 11500000/11500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved  special-q in [100000, 18550000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1722599 hash collisions in 14043720 relations (13115203 unique)
Msieve: matrix is 1540777 x 1541003 (539.7 MB)

Sieving start time : 2022/11/05 11:38:22
Sieving end time  : 2022/11/05 16:40:23

Total sieving time: 5hrs 2min 1secs.

Total relation processing time: 0hrs 45min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 7sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11500000,11500000,27,27,54,54,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 18:24:31 UTC 2022 年 6 月 25 日 (土) 3 時 24 分 31 秒 (日本時間)

29×10193+529

c183

name 名前Bob Backstrom
date 日付July 14, 2022 19:23:07 UTC 2022 年 7 月 15 日 (金) 4 時 23 分 7 秒 (日本時間)
composite number 合成数
702771780105062439149176817436125256329685482327027936998379926280886788559207318160508805077490959099305460805501394599304971952604451586113248480733161517825461025100030821144016421<183>
prime factors 素因数
78057899415552159874055584931078153089<38>
9003211531016975509833666643696740343023893774039440838466020128075328219777127279285824148185407695260300070052435504453207195346742977157223589<145>
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 702771780105062439149176817436125256329685482327027936998379926280886788559207318160508805077490959099305460805501394599304971952604451586113248480733161517825461025100030821144016421 (183 digits)
Using B1=16830000, B2=58559116990, polynomial Dickson(12), sigma=1:757180634
Step 1 took 44431ms
Step 2 took 18236ms
********** Factor found in step 2: 78057899415552159874055584931078153089
Found prime factor of 38 digits: 78057899415552159874055584931078153089
Prime cofactor 9003211531016975509833666643696740343023893774039440838466020128075328219777127279285824148185407695260300070052435504453207195346742977157223589 has 145 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10195+529

c152

name 名前Rytis Slatkevičius
date 日付April 19, 2023 15:36:31 UTC 2023 年 4 月 20 日 (木) 0 時 36 分 31 秒 (日本時間)
composite number 合成数
47009032166344769218816361455644147414142171583752540052525497313109410146452179649233443226645614300121490651490701680972548861448596693149416061545237<152>
prime factors 素因数
160659070937633526948308513707818533070061267325588125153136959<63>
292601170242004400844616621537926939597216896995758051877725111660663119368770269251984043<90>
factorization results 素因数分解の結果
NFS elapsed time = 65261.4135 seconds.
pretesting / nfs ratio was 0.00
Total factoring time = 65261.4153 seconds


***factors found***

P63 = 160659070937633526948308513707818533070061267325588125153136959
P90 = 292601170242004400844616621537926939597216896995758051877725111660663119368770269251984043
software ソフトウェア
yafu2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 09:40:12 UTC 2022 年 7 月 26 日 (火) 18 時 40 分 12 秒 (日本時間)
4511e64479Rytis SlatkevičiusApril 17, 2023 05:15:37 UTC 2023 年 4 月 17 日 (月) 14 時 15 分 37 秒 (日本時間)
5043e61548 / 6453Rytis SlatkevičiusApril 17, 2023 05:16:12 UTC 2023 年 4 月 17 日 (月) 14 時 16 分 12 秒 (日本時間)

29×10196+529

c155

name 名前Bob Backstrom
date 日付August 17, 2022 14:25:25 UTC 2022 年 8 月 17 日 (水) 23 時 25 分 25 秒 (日本時間)
composite number 合成数
53665954769005074260278609397251844385023567487989476907472336583410106149485460816827629967702934174130675913237548165279816066018617610407798638391124673<155>
prime factors 素因数
2556324613706381411580682135926372044103904757<46>
20993403764632032698397614538615065704633349686817108295278254188017375468029503474198451997742606552502760989<110>
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 53665954769005074260278609397251844385023567487989476907472336583410106149485460816827629967702934174130675913237548165279816066018617610407798638391124673 (155 digits)
Using B1=22800000, B2=96188942866, polynomial Dickson(12), sigma=1:1911844051
Step 1 took 53323ms
********** Factor found in step 1: 2556324613706381411580682135926372044103904757
Found prime factor of 46 digits: 2556324613706381411580682135926372044103904757
Prime cofactor 20993403764632032698397614538615065704633349686817108295278254188017375468029503474198451997742606552502760989 has 110 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 26, 2022 10:00:19 UTC 2022 年 7 月 26 日 (火) 19 時 0 分 19 秒 (日本時間)

29×10197+529

c170

name 名前Bob Backstrom
date 日付July 28, 2022 12:33:33 UTC 2022 年 7 月 28 日 (木) 21 時 33 分 33 秒 (日本時間)
composite number 合成数
40920195990727122871679489579489210615313039184913794530530378916945059168258983504809509809700447587140749261128284618263416819289277952255786381912508149697592289356149<170>
prime factors 素因数
947772704213507232625603364075511734291815159590585110699837<60>
43175115519584454543230096428619512017791011940055598061385410217414322446407954684056203624859027291139905177<110>
factorization results 素因数分解の結果
Number: n
N=40920195990727122871679489579489210615313039184913794530530378916945059168258983504809509809700447587140749261128284618263416819289277952255786381912508149697592289356149  ( 170 digits)
SNFS difficulty: 197 digits.
Divisors found:

Thu Jul 28 22:27:15 2022  p60 factor: 947772704213507232625603364075511734291815159590585110699837
Thu Jul 28 22:27:15 2022  p110 factor: 43175115519584454543230096428619512017791011940055598061385410217414322446407954684056203624859027291139905177
Thu Jul 28 22:27:15 2022  elapsed time 01:16:02 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.343).
Factorization parameters were as follows:
#
# N = 29x10^197+52 = 32(196)8
#
n: 40920195990727122871679489579489210615313039184913794530530378916945059168258983504809509809700447587140749261128284618263416819289277952255786381912508149697592289356149
m: 1000000000000000000000000000000000000000
deg: 5
c5: 725
c0: 13
skew: 0.45
# Murphy_E = 1.733e-11
type: snfs
lss: 1
rlim: 13900000
alim: 13900000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 13900000/13900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 26950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3061921 hash collisions in 28781854 relations (26850969 unique)
Msieve: matrix is 1767050 x 1767275 (618.6 MB)

Sieving start time : 2022/07/28 11:59:57
Sieving end time  : 2022/07/28 21:10:24

Total sieving time: 9hrs 10min 27secs.

Total relation processing time: 1hrs 0min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 2sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,13900000,13900000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118312] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16196812K/16727236K available (14339K kernel code, 2400K rwdata, 9496K rodata, 2756K init, 4944K bss, 530424K reserved, 0K cma-reserved)
[    0.153549] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.21 BogoMIPS (lpj=12798428)
[    0.152036] smpboot: Total of 16 processors activated (102387.42 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10201+529

c175

name 名前Bob Backstrom
date 日付August 9, 2023 10:05:56 UTC 2023 年 8 月 9 日 (水) 19 時 5 分 56 秒 (日本時間)
composite number 合成数
2106875372340813569032731221138714689532427047090857273840200470184146659350658646602612825808739870386246442580935780412738307922837236864789327517511083323711668981446753149<175>
prime factors 素因数
50308869087673044389760847966671210561825972533778542305743934529690209<71>
41878806074316064332295617213523923107054876152122854789642038445841367584107801230907385170272880725661<104>
factorization results 素因数分解の結果
Number: n
N=2106875372340813569032731221138714689532427047090857273840200470184146659350658646602612825808739870386246442580935780412738307922837236864789327517511083323711668981446753149  ( 175 digits)
SNFS difficulty: 202 digits.
Divisors found:

Wed Aug  9 15:47:17 2023  prp71 factor: 50308869087673044389760847966671210561825972533778542305743934529690209
Wed Aug  9 15:47:17 2023  prp104 factor: 41878806074316064332295617213523923107054876152122854789642038445841367584107801230907385170272880725661
Wed Aug  9 15:47:17 2023  elapsed time 03:02:35 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.004).
Factorization parameters were as follows:
#
# N = 29x10^201+52 = 32(200)8
#
n: 2106875372340813569032731221138714689532427047090857273840200470184146659350658646602612825808739870386246442580935780412738307922837236864789327517511083323711668981446753149
m: 10000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 26
skew: 0.71
# Murphy_E = 9.683e-12
type: snfs
lss: 1
rlim: 16400000
alim: 16400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16400000/16400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 33800000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3166535 hash collisions in 17333190 relations (14821963 unique)
Msieve: matrix is 2397465 x 2397691 (675.2 MB)

Sieving start time: 2023/08/08 22:03:14
Sieving end time  : 2023/08/09 12:44:20

Total sieving time: 14hrs 41min 6secs.

Total relation processing time: 2hrs 54min 50sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 0sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16400000,16400000,27,27,56,56,2.6,2.6,100000
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJuly 9, 2023 14:00:44 UTC 2023 年 7 月 9 日 (日) 23 時 0 分 44 秒 (日本時間)

29×10203+529

c181

name 名前Eric Jeancolas
date 日付June 21, 2022 05:31:22 UTC 2022 年 6 月 21 日 (火) 14 時 31 分 22 秒 (日本時間)
composite number 合成数
1262686124276642358738249191073214738457552942483282705031046744117744362239504998987563408642937344887203700169915539266841377337647589173554824599979339687503032892798873135430267<181>
prime factors 素因数
7421575617227597237<19>
5793667687159288785191477<25>
29366061900297385053887121898142834883044771761447108061940597070857212400933712497613655111575960182818059678694794075974915389548180883<137>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]

Input number is 1262686124276642358738249191073214738457552942483282705031046744117744362239504998987563408642937344887203700169915539266841377337647589173554824599979339687503032892798873135430267 (181 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:828268014
Step 1 took 3978ms
Step 2 took 2183ms
********** Factor found in step 2: 7421575617227597237
Found prime factor of 19 digits: 7421575617227597237
Composite cofactor 170137203930872459803258658925094329344738128693252696727446415210429111238152942703540488618077799147229148933020327503297128062268998159632607926857814185934191 has 162 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:944251072
Step 1 took 3412ms
Step 2 took 1976ms
********** Factor found in step 2: 5793667687159288785191477
Found prime factor of 25 digits: 5793667687159288785191477
Prime cofactor 29366061900297385053887121898142834883044771761447108061940597070857212400933712497613655111575960182818059678694794075974915389548180883 has 137 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10205+529

c205

name 名前Bob Backstrom
date 日付February 16, 2024 14:55:26 UTC 2024 年 2 月 16 日 (金) 23 時 55 分 26 秒 (日本時間)
composite number 合成数
8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557<205>
prime factors 素因数
3566657368678532854401166116392311992057020799303949445607577730801707493097487359766143929<91>
2258572866095120707947691644048292272167943831985271602547601498644242712160147399256512088502021074798269043797133<115>
factorization results 素因数分解の結果
Number: n
N=8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557  ( 205 digits)
SNFS difficulty: 206 digits.
Divisors found:

Fri Feb 16 21:31:32 2024  prp91 factor: 3566657368678532854401166116392311992057020799303949445607577730801707493097487359766143929
Fri Feb 16 21:31:32 2024  prp115 factor: 2258572866095120707947691644048292272167943831985271602547601498644242712160147399256512088502021074798269043797133
Fri Feb 16 21:31:32 2024  elapsed time 03:36:56 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.095).
Factorization parameters were as follows:
#
# N = 29x10^205+52 = 32(204)8
#
n: 8055555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557
m: 100000000000000000000000000000000000000000
deg: 5
c5: 29
c0: 52
skew: 1.12
# Murphy_E = 7.486e-12
type: snfs
lss: 1
rlim: 19300000
alim: 19300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19300000/19300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 56850000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3691898 hash collisions in 19495094 relations (16109259 unique)
Msieve: matrix is 2594774 x 2594999 (732.2 MB)

Sieving start time: 2024/02/15 18:13:49
Sieving end time  : 2024/02/16 17:53:23

Total sieving time: 23hrs 39min 34secs.

Total relation processing time: 3hrs 28min 45sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 52sec.

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

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e641921792Dmitry DomanovSeptember 11, 2023 19:32:02 UTC 2023 年 9 月 12 日 (火) 4 時 32 分 2 秒 (日本時間)
2400cccSeptember 22, 2023 05:17:59 UTC 2023 年 9 月 22 日 (金) 14 時 17 分 59 秒 (日本時間)
4511e62048 / 35081024cccSeptember 24, 2023 17:41:18 UTC 2023 年 9 月 25 日 (月) 2 時 41 分 18 秒 (日本時間)
1024cccSeptember 24, 2023 17:41:21 UTC 2023 年 9 月 25 日 (月) 2 時 41 分 21 秒 (日本時間)

29×10206+529

c190

name 名前Bob Backstrom
date 日付June 9, 2024 05:09:23 UTC 2024 年 6 月 9 日 (日) 14 時 9 分 23 秒 (日本時間)
composite number 合成数
3730015911124462162927820443044555467240829088155565897711389792193100391189763947272635000805037076466996547955813583357807134939871735612504506043563409856380113262576654582067034352945099<190>
prime factors 素因数
42557910012759674447242065781535090678953615045370678256674996700123785630230353635171<86>
87645655296656535403812965196585829161332216834674192656953284845066383944698840180772973993915935477369<104>
factorization results 素因数分解の結果
Number: n
N=3730015911124462162927820443044555467240829088155565897711389792193100391189763947272635000805037076466996547955813583357807134939871735612504506043563409856380113262576654582067034352945099  ( 190 digits)
SNFS difficulty: 207 digits.
Divisors found:

Sun Jun  9 10:41:23 2024  prp86 factor: 42557910012759674447242065781535090678953615045370678256674996700123785630230353635171
Sun Jun  9 10:41:23 2024  prp104 factor: 87645655296656535403812965196585829161332216834674192656953284845066383944698840180772973993915935477369
Sun Jun  9 10:41:23 2024  elapsed time 03:48:06 (Msieve 1.44 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.948).
Factorization parameters were as follows:
#
# N = 29x10^206+52 = 32(205)8
#
n: 3730015911124462162927820443044555467240829088155565897711389792193100391189763947272635000805037076466996547955813583357807134939871735612504506043563409856380113262576654582067034352945099
m: 100000000000000000000000000000000000000000
deg: 5
c5: 145
c0: 26
skew: 0.71
# Murphy_E = 5.959e-12
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 57150000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4790680 hash collisions in 21190716 relations (16371606 unique)
Msieve: matrix is 2656400 x 2656625 (744.7 MB)

Sieving start time: 2024/06/08 07:28:56
Sieving end time  : 2024/06/09 06:52:54

Total sieving time: 23hrs 23min 58secs.

Total relation processing time: 3hrs 38min 54sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 30sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,27,27,56,56,2.6,2.6,100000
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovSeptember 12, 2023 05:43:33 UTC 2023 年 9 月 12 日 (火) 14 時 43 分 33 秒 (日本時間)
2350Ignacio SantosMay 29, 2024 14:48:10 UTC 2024 年 5 月 29 日 (水) 23 時 48 分 10 秒 (日本時間)
4511e64480Ignacio SantosMay 29, 2024 17:12:50 UTC 2024 年 5 月 30 日 (木) 2 時 12 分 50 秒 (日本時間)

29×10207+529

c205

composite cofactor 合成数の残り
2183077386329418849744052996085516410719662752183077386329418849744052996085516410719662752183077386329418849744052996085516410719662752183077386329418849744052996085516410719662752183077386329418849744053<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:46:34 UTC 2023 年 9 月 21 日 (木) 18 時 46 分 34 秒 (日本時間)

29×10208+529

c205

composite cofactor 合成数の残り
5025299785125112636029666597352186871837526859360920496291675330976641020309142579884937963540583627919872461357177514382754557427046510015942330352810702155680321619186248007208705898662230539959797601719<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:46:57 UTC 2023 年 9 月 21 日 (木) 18 時 46 分 57 秒 (日本時間)

29×10209+529

c188

name 名前Eric Jeancolas
date 日付June 21, 2022 05:37:26 UTC 2022 年 6 月 21 日 (火) 14 時 37 分 26 秒 (日本時間)
composite number 合成数
12317127482634105126183425575698191855440587759522463780670749900403459629283080755513680000789866529430764614241139026219019745445194571010052949540158118911373831859765417182541394430099<188>
prime factors 素因数
3418273808121264012382237<25>
2742820169197451273436006495809903831<37>
615462800379827996965510784308608598361<39>
2134535815008012175680328228028654977348530485808733978886851999112604688613071033462097<88>
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 12317127482634105126183425575698191855440587759522463780670749900403459629283080755513680000789866529430764614241139026219019745445194571010052949540158118911373831859765417182541394430099 (188 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1579833153
Step 1 took 3685ms
Step 2 took 2157ms
********** Factor found in step 2: 3418273808121264012382237
Found prime factor of 25 digits: 3418273808121264012382237
Composite cofactor 3603317982711217711121049909435636585354665379449154762492048973172912099189270019203784265386176928368860258463203338812666207456361815138517747368633773880278127 has 163 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2059440605
Step 1 took 3146ms
Step 2 took 1911ms
********** Factor found in step 2: 2742820169197451273436006495809903831
Found prime factor of 37 digits: 2742820169197451273436006495809903831
Composite cofactor 1313727390215869659143944053657014388110855065645727034768108598361828317929458947780946923179831080394048217454515484389823017 has 127 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2271580733
Step 1 took 2759ms
Step 2 took 1722ms
********** Factor found in step 2: 615462800379827996965510784308608598361
Found prime factor of 39 digits: 615462800379827996965510784308608598361
Prime cofactor 2134535815008012175680328228028654977348530485808733978886851999112604688613071033462097 has 88 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10211+529

c184

composite cofactor 合成数の残り
1617324325172941939712151293767071499513105337600772852414763767858757584343639692017233309504701600252654904235502940031686720086685897270468471329114431541595953295723499212007155157<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:43:44 UTC 2023 年 9 月 12 日 (火) 14 時 43 分 44 秒 (日本時間)

29×10212+529

c184

composite cofactor 合成数の残り
3103156552633343359822513338980209951638184601312882584049237047114059724566747790999810502556564728291856870320998483691293757806369336572733641513965592012183910383738078212301863867<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:43:53 UTC 2023 年 9 月 12 日 (火) 14 時 43 分 53 秒 (日本時間)

29×10214+529

c175

name 名前Eric Jeancolas
date 日付June 21, 2022 05:40:24 UTC 2022 年 6 月 21 日 (火) 14 時 40 分 24 秒 (日本時間)
composite number 合成数
3948510806185262444239002339410743412759118414668034520566237108482131478542167671020366644179226537839378405748246631339001327837895713975051406422341488266570082740704656349<175>
prime factors 素因数
14754029338336407115730766821<29>
composite cofactor 合成数の残り
267622539961038019556238980151283894633166151420532798285914912311088865927974474628148985979280090671238690271753391191466624267709936046855151769<147>
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 3948510806185262444239002339410743412759118414668034520566237108482131478542167671020366644179226537839378405748246631339001327837895713975051406422341488266570082740704656349 (175 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2803823759
Step 1 took 3273ms
Step 2 took 1816ms
********** Factor found in step 2: 14754029338336407115730766821
Found prime factor of 29 digits: 14754029338336407115730766821
Composite cofactor 267622539961038019556238980151283894633166151420532798285914912311088865927974474628148985979280090671238690271753391191466624267709936046855151769 has 147 digits
software ソフトウェア
GMP-ECM 7.0.4
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)

c147

name 名前Ignacio Santos
date 日付June 23, 2022 22:05:09 UTC 2022 年 6 月 24 日 (金) 7 時 5 分 9 秒 (日本時間)
composite number 合成数
267622539961038019556238980151283894633166151420532798285914912311088865927974474628148985979280090671238690271753391191466624267709936046855151769<147>
prime factors 素因数
350898424736132612468253587583408580379599081541<48>
762678088858004690077779144591026943076923544942569339937436306427146839755267613759649069857891909<99>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2343767414
Step 1 took 84656ms
********** Factor found in step 1: 350898424736132612468253587583408580379599081541
Found prime factor of 48 digits: 350898424736132612468253587583408580379599081541
Prime cofactor 762678088858004690077779144591026943076923544942569339937436306427146839755267613759649069857891909 has 99 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 21, 2022 17:53:11 UTC 2022 年 6 月 22 日 (水) 2 時 53 分 11 秒 (日本時間)
4511e64480Ignacio SantosJune 22, 2022 15:27:10 UTC 2022 年 6 月 23 日 (木) 0 時 27 分 10 秒 (日本時間)

29×10215+529

c209

composite cofactor 合成数の残り
86749747797543558244917392103954197090401493387934222871229990572396373836611097769598173971653532754850118571948386173502128001227179880567733425323962446094005855667803746464349503127358321807582358714873681<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:47:08 UTC 2023 年 9 月 21 日 (木) 18 時 47 分 8 秒 (日本時間)

29×10216+529

c199

composite cofactor 合成数の残り
2543659855378354922345245636087389920102541793568240852839815672507569496697436939700497591366160527176286158977009132503208099464777801101097853756857025506695460403326400727166064401642468748617579<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:44:04 UTC 2023 年 9 月 12 日 (火) 14 時 44 分 4 秒 (日本時間)

29×10217+529

c213

composite cofactor 合成数の残り
608287816624296273922491546896893117537986525376089674209435592807940463305561848188141324137699581330178626863668017485128411655633584199619085974141475160881639776150083482258971196523110741943332746020958661599<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:51:00 UTC 2023 年 9 月 21 日 (木) 18 時 51 分 0 秒 (日本時間)

29×10218+529

c170

composite cofactor 合成数の残り
81710957216189882445362710570149299406213583497424531981290629913362092137859126053078024691467970836219175696598670231133601554460534312258916519638402992232614232889317<170>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:44:16 UTC 2023 年 9 月 12 日 (火) 14 時 44 分 16 秒 (日本時間)

29×10220+529

c207

name 名前Eric Jeancolas
date 日付June 21, 2022 07:41:58 UTC 2022 年 6 月 21 日 (火) 16 時 41 分 58 秒 (日本時間)
composite number 合成数
119139387818393106303320669749227461204354096824742507120417467323911154864415558327938934635710005108610418616725785316681025620996876883097878122900469882171847543137128887676022401112300652724812147502983<207>
prime factors 素因数
49480244418995819557109<23>
composite cofactor 合成数の残り
2407817285814672403184354621965369866039988426024981386669951844255813367524630413894007521983966348037841066167863210553900859973197323872343741061413616744156933799354391525761720587<184>
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 119139387818393106303320669749227461204354096824742507120417467323911154864415558327938934635710005108610418616725785316681025620996876883097878122900469882171847543137128887676022401112300652724812147502983 (207 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4025835612
Step 1 took 4240ms
********** Factor found in step 1: 49480244418995819557109
Found prime factor of 23 digits: 49480244418995819557109
Composite cofactor 2407817285814672403184354621965369866039988426024981386669951844255813367524630413894007521983966348037841066167863210553900859973197323872343741061413616744156933799354391525761720587 has 184 digits
software ソフトウェア
GMP-ECM 7.0.4
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)

c184

name 名前Erik Branger
date 日付August 15, 2022 15:56:09 UTC 2022 年 8 月 16 日 (火) 0 時 56 分 9 秒 (日本時間)
composite number 合成数
2407817285814672403184354621965369866039988426024981386669951844255813367524630413894007521983966348037841066167863210553900859973197323872343741061413616744156933799354391525761720587<184>
prime factors 素因数
285811445314342862672474065823770245308534939<45>
8424495678143652767805687776439693688318316667131432209161371935466471954412189773098330086737666493544143405012804636335498877590800228433<139>
factorization results 素因数分解の結果
Number: 32228_220
N = 2407817285814672403184354621965369866039988426024981386669951844255813367524630413894007521983966348037841066167863210553900859973197323872343741061413616744156933799354391525761720587 (184 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=285811445314342862672474065823770245308534939 (pp45)
r2=8424495678143652767805687776439693688318316667131432209161371935466471954412189773098330086737666493544143405012804636335498877590800228433 (pp139)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 58.21 hours.
Factorization parameters were as follows:
n: 2407817285814672403184354621965369866039988426024981386669951844255813367524630413894007521983966348037841066167863210553900859973197323872343741061413616744156933799354391525761720587
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 29
c0: 52
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30017715
Relations: 7897916 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 20.43 hours.
Total relation processing time: 0.42 hours.
Pruned matrix : 6750834 x 6751059
Matrix solve time: 36.49 hours.
time per square root: 0.87 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 58.21 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10221+529

c203

name 名前Erik Branger
date 日付August 15, 2022 15:57:24 UTC 2022 年 8 月 16 日 (火) 0 時 57 分 24 秒 (日本時間)
composite number 合成数
24964606366590483570691089082437123448776414614162992572834243524867891172130187489275632839455787314245719171716156184169036327501615147360092057629060303271923375958642971468270535104974877845767784619<203>
prime factors 素因数
2478265007818829414117850620119029333589238467404711637<55>
8836453248855038614855922397905069201523917661836043719139645200191<67>
1139984624168482389007150899989015627232225664901670497699402226870537812405777857<82>
factorization results 素因数分解の結果
Number: 32228_221
N = 24964606366590483570691089082437123448776414614162992572834243524867891172130187489275632839455787314245719171716156184169036327501615147360092057629060303271923375958642971468270535104974877845767784619 (203 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=2478265007818829414117850620119029333589238467404711637 (pp55)
r2=8836453248855038614855922397905069201523917661836043719139645200191 (pp67)
r3=1139984624168482389007150899989015627232225664901670497699402226870537812405777857 (pp82)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 54.73 hours.
Factorization parameters were as follows:
n: 24964606366590483570691089082437123448776414614162992572834243524867891172130187489275632839455787314245719171716156184169036327501615147360092057629060303271923375958642971468270535104974877845767784619
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 145
c0: 26
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 60000000
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/60000000
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31371531
Relations: 8314600 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.25 hours.
Total relation processing time: 0.34 hours.
Pruned matrix : 7146522 x 7146747
Matrix solve time: 29.27 hours.
time per square root: 0.86 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,60000000,29,28,58,56,2.8,2.8,100000
total time: 54.73 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.22000-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10222+529

c156

composite cofactor 合成数の残り
531290990217975794350180596348011287759056737205152642183697099899271541173496413279523836686190717563850163633370960295698570572491604423721541927773422561<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:44:26 UTC 2023 年 9 月 12 日 (火) 14 時 44 分 26 秒 (日本時間)

29×10223+529

c172

name 名前Eric Jeancolas
date 日付June 21, 2022 09:17:28 UTC 2022 年 6 月 21 日 (火) 18 時 17 分 28 秒 (日本時間)
composite number 合成数
6218221559708029266963102213240070730248769600194146758988828785767711691696374019977792825081527940038851894720390159924951754822650917142592725144825448672524686181672971<172>
prime factors 素因数
1616244262554486528224839396943<31>
3847327847512406392600825631024040300751108050705795118884027330739341490928931871727011489080031412190419190311471036575400031797539552286597<142>
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 6218221559708029266963102213240070730248769600194146758988828785767711691696374019977792825081527940038851894720390159924951754822650917142592725144825448672524686181672971 (172 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1688008294
Step 1 took 2767ms
********** Factor found in step 1: 1616244262554486528224839396943
Found prime factor of 31 digits: 1616244262554486528224839396943
Prime cofactor 3847327847512406392600825631024040300751108050705795118884027330739341490928931871727011489080031412190419190311471036575400031797539552286597 has 142 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10225+529

c177

name 名前Eric Jeancolas
date 日付June 23, 2022 16:14:32 UTC 2022 年 6 月 24 日 (金) 1 時 14 分 32 秒 (日本時間)
composite number 合成数
417900139780192976139696151460998190707942400453631397950264100060889759936888934469474047227234582197441442580727838689151890619252234694211516296964837429993592953352921783309<177>
prime factors 素因数
2080606548216135330411283<25>
composite cofactor 合成数の残り
200854957482706684021945673285629389572450209233292195155357842827699289452180929948345407134314534157919353205019031122806501581299617620693259119638623<153>
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 417900139780192976139696151460998190707942400453631397950264100060889759936888934469474047227234582197441442580727838689151890619252234694211516296964837429993592953352921783309 (177 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2894922047
Step 1 took 2404ms
Step 2 took 1329ms
********** Factor found in step 2: 2080606548216135330411283
Found prime factor of 25 digits: 2080606548216135330411283
Composite cofactor 200854957482706684021945673285629389572450209233292195155357842827699289452180929948345407134314534157919353205019031122806501581299617620693259119638623 has 153 digits
software ソフトウェア
GMP-ECM 7.0.4
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)

c153

name 名前Ignacio Santos
date 日付February 28, 2024 09:39:49 UTC 2024 年 2 月 28 日 (水) 18 時 39 分 49 秒 (日本時間)
composite number 合成数
200854957482706684021945673285629389572450209233292195155357842827699289452180929948345407134314534157919353205019031122806501581299617620693259119638623<153>
prime factors 素因数
2761074064221742174118547102282810918765534282912379<52>
72745226245613670505833161977512704430620571485675801348605789200185575017931917489525804860876451437<101>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2508820893
Step 1 took 80094ms
Step 2 took 29187ms
********** Factor found in step 2: 2761074064221742174118547102282810918765534282912379
Found prime factor of 52 digits: 2761074064221742174118547102282810918765534282912379
Prime cofactor 72745226245613670505833161977512704430620571485675801348605789200185575017931917489525804860876451437 has 101 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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosJune 24, 2022 16:12:37 UTC 2022 年 6 月 25 日 (土) 1 時 12 分 37 秒 (日本時間)
4511e64480Ignacio SantosJune 25, 2022 09:50:22 UTC 2022 年 6 月 25 日 (土) 18 時 50 分 22 秒 (日本時間)

29×10226+529

c226

composite cofactor 合成数の残り
1150793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793650793651<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:34:17 UTC 2023 年 9 月 22 日 (金) 4 時 34 分 17 秒 (日本時間)

29×10227+529

c197

composite cofactor 合成数の残り
81163837247846621758858487220889510233404247702274497364875257053731574510044082562844985036921737283603546402209861397090986570868600709164157282958188779749263295752707802500141369582159126443499<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:44:39 UTC 2023 年 9 月 12 日 (火) 14 時 44 分 39 秒 (日本時間)

29×10229+529

c191

name 名前Eric Jeancolas
date 日付June 21, 2022 11:42:12 UTC 2022 年 6 月 21 日 (火) 20 時 42 分 12 秒 (日本時間)
composite number 合成数
89309030543004507652571128383223420303246762064107533289239056003268628240177621572865060082316512968588024797785782696207964567367930484420053047986466094546919290663184873023498916618363837<191>
prime factors 素因数
30165132982819384971346258273<29>
composite cofactor 合成数の残り
2960670871030824034964495854795810792793327738552179713989122441113221464209592388477927825350568201675589219174282455592127224001178812441742792970961281186991069<163>
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 89309030543004507652571128383223420303246762064107533289239056003268628240177621572865060082316512968588024797785782696207964567367930484420053047986466094546919290663184873023498916618363837 (191 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3369955862
Step 1 took 3590ms
Step 2 took 1941ms
********** Factor found in step 2: 30165132982819384971346258273
Found prime factor of 29 digits: 30165132982819384971346258273
Composite cofactor 2960670871030824034964495854795810792793327738552179713989122441113221464209592388477927825350568201675589219174282455592127224001178812441742792970961281186991069 has 163 digits
software ソフトウェア
GMP-ECM 7.0.4
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)

c163

name 名前Eric Jeancolas
date 日付June 21, 2022 15:25:26 UTC 2022 年 6 月 22 日 (水) 0 時 25 分 26 秒 (日本時間)
composite number 合成数
2960670871030824034964495854795810792793327738552179713989122441113221464209592388477927825350568201675589219174282455592127224001178812441742792970961281186991069<163>
prime factors 素因数
36968176677144348223404233703193741<35>
80087013673608223456580401898154888285984150190175571127734262833111628194957381154275494687174942953050179174978715366505611409<128>
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]
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3632767142
Step 1 took 3120ms
Step 2 took 1735ms
********** Factor found in step 2: 36968176677144348223404233703193741
Found prime factor of 35 digits: 36968176677144348223404233703193741
Prime cofactor 80087013673608223456580401898154888285984150190175571127734262833111628194957381154275494687174942953050179174978715366505611409 has 128 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10231+529

c177

composite cofactor 合成数の残り
504747734994032899907166179837840767545447668312911755822186629841046318494504675433959959831741570503765635100240744139983110571164067771972530039214688798840493929420062792319<177>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 12, 2023 05:44:48 UTC 2023 年 9 月 12 日 (火) 14 時 44 分 48 秒 (日本時間)

29×10233+529

c218

composite cofactor 合成数の残り
34806182169057665382222161620491754827609237014175883236347338706701038387920904802113436757414463351557036866529459516223000520862855052273201814689992366760196779679518005409578404709131218420384704899804915172531843<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:51:13 UTC 2023 年 9 月 21 日 (木) 18 時 51 分 13 秒 (日本時間)

29×10235+529

c225

name 名前Dmitry Domanov
date 日付September 25, 2023 07:34:45 UTC 2023 年 9 月 25 日 (月) 16 時 34 分 45 秒 (日本時間)
composite number 合成数
139609454644815248695343805373466309413003791866369075546748158198413007443246707513749682184172246172622101627207116200078141590442454613921989085274169087030630220548849773100371131603875011086352372393030263413521525803221<225>
prime factors 素因数
22889360062789448277176567663020464555860551<44>
composite cofactor 合成数の残り
6099316637155539612315221238048189240060990210969189117691143125911766871334078376234702937763031205411930100790914972636468153653019474540383434493539415234168624236007163024199171<181>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3bfd4d9d1ff1 with GMP-ECM 7.0.5-dev on Sun Sep 24 21:08:30 2023 
Input number is 139609454644815248695343805373466309413003791866369075546748158198413007443246707513749682184172246172622101627207116200078141590442454613921989085274169087030630220548849773100371131603875011086352372393030263413521525803221 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:399700126
Step 1 took 0ms
Step 2 took 5370ms
********** Factor found in step 2: 22889360062789448277176567663020464555860551
Found prime factor of 44 digits: 22889360062789448277176567663020464555860551
Composite cofactor 6099316637155539612315221238048189240060990210969189117691143125911766871334078376234702937763031205411930100790914972636468153653019474540383434493539415234168624236007163024199171 has 181 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:34:07 UTC 2023 年 9 月 22 日 (金) 4 時 34 分 7 秒 (日本時間)

29×10237+529

c202

name 名前Eric Jeancolas
date 日付June 23, 2022 12:22:26 UTC 2022 年 6 月 23 日 (木) 21 時 22 分 26 秒 (日本時間)
composite number 合成数
3314979898420659780442239957565967344785572515219223827958592274541672718587706513050048485754558132755204178769376817939598983236051546174586749622595972888802631827975183226957083537275535189014825671<202>
prime factors 素因数
1230278371390158748315197916639<31>
2694495795024733206266231237995784388376220996555192364582731010585952840409936347125322683466514789399158543887514329117671470583334782558998754102139933791529990853003289<172>
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 3314979898420659780442239957565967344785572515219223827958592274541672718587706513050048485754558132755204178769376817939598983236051546174586749622595972888802631827975183226957083537275535189014825671 (202 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:956671031
Step 1 took 3160ms
Step 2 took 1693ms
********** Factor found in step 2: 1230278371390158748315197916639
Found prime factor of 31 digits: 1230278371390158748315197916639
Prime cofactor 2694495795024733206266231237995784388376220996555192364582731010585952840409936347125322683466514789399158543887514329117671470583334782558998754102139933791529990853003289 has 172 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10239+529

c232

composite cofactor 合成数の残り
7326761824223828874978551536376983380953748133355837103305997639731681248590166804495688928289687509970080637532167137201416896699196781754733990088093851352170064065912802499636466290038770090751495248079557193556746614169458137657<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:03:24 UTC 2023 年 9 月 25 日 (月) 6 時 3 分 24 秒 (日本時間)

29×10240+529

c225

name 名前Dmitry Domanov
date 日付September 23, 2023 01:01:56 UTC 2023 年 9 月 23 日 (土) 10 時 1 分 56 秒 (日本時間)
composite number 合成数
122269775475643742447138124865679877637245309346316253602535045332380898928587016966177490868156303008299422042219979273189916090172119089544162294289684329016329703678704740031065689946269892366853775638097794287727611919273<225>
prime factors 素因数
4274913331101378339390167777322857<34>
composite cofactor 合成数の残り
28601696924728636073760969353790892737974819679031579350297795676282230588816175672908389554905664760225420097673962954870942523060732321507438399942031758548174281832497642341124400288705089<191>
factorization results 素因数分解の結果
Resuming ECM residue saved by @e9c9b1a0316d with GMP-ECM 7.0.5-dev on Fri Sep 22 12:22:10 2023 
Input number is 122269775475643742447138124865679877637245309346316253602535045332380898928587016966177490868156303008299422042219979273189916090172119089544162294289684329016329703678704740031065689946269892366853775638097794287727611919273 (225 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:1418092275
Step 1 took 0ms
Step 2 took 5234ms
********** Factor found in step 2: 4274913331101378339390167777322857
Found prime factor of 34 digits: 4274913331101378339390167777322857
Composite cofactor 28601696924728636073760969353790892737974819679031579350297795676282230588816175672908389554905664760225420097673962954870942523060732321507438399942031758548174281832497642341124400288705089 has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:33:54 UTC 2023 年 9 月 22 日 (金) 4 時 33 分 54 秒 (日本時間)

29×10242+529

c210

composite cofactor 合成数の残り
190102395235655380378896454883213765166105381378544838181557557315941636085760125875557916773435428672804934514272619786502191612824686167425847531149716457335026193395186061864039161425657307593563862791358437<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 09:51:28 UTC 2023 年 9 月 21 日 (木) 18 時 51 分 28 秒 (日本時間)

29×10246+529

c220

composite cofactor 合成数の残り
7888478229247721371306917612806613217786383128491188390479655507077483036613558982417864773477976856674143720887915738550731332313423661831508871580736413303499666423885589788554739825056703050542601217832440881946113617<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:28:43 UTC 2023 年 9 月 22 日 (金) 4 時 28 分 43 秒 (日本時間)

29×10247+529

c246

composite cofactor 合成数の残り
196476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696477<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:03:31 UTC 2023 年 9 月 25 日 (月) 6 時 3 分 31 秒 (日本時間)

29×10249+529

c225

composite cofactor 合成数の残り
333882841484779597317940620252766359152009650098043145590767074574246517415257868233094555587346559373854714443148291150272178020746515661130729682603154181082165559895624474758994517254485984917063984122137983724758804106351<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:32:55 UTC 2023 年 9 月 22 日 (金) 4 時 32 分 55 秒 (日本時間)

29×10251+529

c242

composite cofactor 合成数の残り
57512770383634174373203178243618509546158785794193056517770977259968363900418460085303180603442839947861308555208484707688682675510035858924373704193801619113045189900239699447692482911537733432585524821533068208457655347381356141055754959351<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:03:40 UTC 2023 年 9 月 25 日 (月) 6 時 3 分 40 秒 (日本時間)

29×10252+529

c213

composite cofactor 合成数の残り
526721808297788345679928886905789786446503842949695550237497064969527908725719271286869313315030980838099589521831418756641586641463808530464211705718626420332724783088543387649263194479037743552562406541458538683<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:28:57 UTC 2023 年 9 月 22 日 (金) 4 時 28 分 57 秒 (日本時間)

29×10253+529

c237

name 名前Dmitry Domanov
date 日付September 25, 2023 16:34:33 UTC 2023 年 9 月 26 日 (火) 1 時 34 分 33 秒 (日本時間)
composite number 合成数
139425937696241332574154406370887597906851025682723279066581413654078793941307796939868075375545173781839028349001706658634161165471593561840070330910865512267820935157794718923617602456232992252300175754226372204610705076262981940942793<237>
prime factors 素因数
769597684981287785442008705486526653<36>
181167303926637167621057045920436759629633263406094646751126869164909398381396897058717519218600755566250733024398489635718273750883524129491812138435530840342628334311916479628100334409638355145296381<201>
factorization results 素因数分解の結果
Resuming ECM residue saved by @3bfd4d9d1ff1 with GMP-ECM 7.0.5-dev on Sun Sep 24 21:26:22 2023 
Input number is 139425937696241332574154406370887597906851025682723279066581413654078793941307796939868075375545173781839028349001706658634161165471593561840070330910865512267820935157794718923617602456232992252300175754226372204610705076262981940942793 (237 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:258952273
Step 1 took 0ms
Step 2 took 5870ms
********** Factor found in step 2: 769597684981287785442008705486526653
Found prime factor of 36 digits: 769597684981287785442008705486526653
Prime cofactor 181167303926637167621057045920436759629633263406094646751126869164909398381396897058717519218600755566250733024398489635718273750883524129491812138435530840342628334311916479628100334409638355145296381 has 201 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:03:47 UTC 2023 年 9 月 25 日 (月) 6 時 3 分 47 秒 (日本時間)

29×10254+529

c218

composite cofactor 合成数の残り
83298626393820981773990227478994298123452955413004708082895350823863888116477366312265258088749479632879122064722425462272065881352776564284113313361935066644897430609944951616910248788063897559431658143835285858307691<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:32:16 UTC 2023 年 9 月 22 日 (金) 4 時 32 分 16 秒 (日本時間)

29×10255+529

c237

composite cofactor 合成数の残り
368475005404862082016414070946077944699564021428533076005551960027391133092830367931611679071844322670158751593423862077250461326915228397081350630039286011477890317659024291990908885584527967212246739514379815306855542768241824071535553<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:03:55 UTC 2023 年 9 月 25 日 (月) 6 時 3 分 55 秒 (日本時間)

29×10256+529

c232

composite cofactor 合成数の残り
6113714034053390172668850937223984001885404178214431812265380028264628628656043766556348844836514790975546733099122411787098833636160803579640536755645970484941854662295103763830006391267254013377802271263503807697283802206296356599<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:02 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 2 秒 (日本時間)

29×10257+529

c227

name 名前Eric Jeancolas
date 日付June 21, 2022 19:28:44 UTC 2022 年 6 月 22 日 (水) 4 時 28 分 44 秒 (日本時間)
composite number 合成数
39433301515682025499399820877133365848710127642276711063947322790732997079418554708896769772359203351400635836158205427957410838175979902268236659643597788080565539833666105661586094882650314498295955620960378605454443259957027<227>
prime factors 素因数
274415740206962603282171<24>
143699124131661254852740470729590177298197997167257812698408598733810222624125111093410246273522196334010467123162505405621811667279113119468545284389018834584634415542890905761691575027838631551099807737<204>
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 39433301515682025499399820877133365848710127642276711063947322790732997079418554708896769772359203351400635836158205427957410838175979902268236659643597788080565539833666105661586094882650314498295955620960378605454443259957027 (227 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1557376241
Step 1 took 4790ms
Step 2 took 2461ms
********** Factor found in step 2: 274415740206962603282171
Found prime factor of 24 digits: 274415740206962603282171
Prime cofactor 143699124131661254852740470729590177298197997167257812698408598733810222624125111093410246273522196334010467123162505405621811667279113119468545284389018834584634415542890905761691575027838631551099807737 has 204 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10259+529

c224

composite cofactor 合成数の残り
79804781635146688847832203637781815468210750395230017246598512934353565039977280344340555709277173501854636894519441552693191610909284802193991685945901019066929172427211523506675488533440426089008220785292468926374095255187<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:32:43 UTC 2023 年 9 月 22 日 (金) 4 時 32 分 43 秒 (日本時間)

29×10260+529

c194

name 名前Eric Jeancolas
date 日付June 21, 2022 20:13:49 UTC 2022 年 6 月 22 日 (水) 5 時 13 分 49 秒 (日本時間)
composite number 合成数
44182126359069439500881098278167039140603227320295603930564798691766568875495864339797138782457452826537533704916054124004165425712026894306963704126089934632120636612416861172462109882781862081<194>
prime factors 素因数
188513182481058422770459<24>
627030741431653533744981880641749449<36>
373779995644809214692839668065110354356962239627779248681737831030066237932196893031414159355017456527700863132383888504236292086264891<135>
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 44182126359069439500881098278167039140603227320295603930564798691766568875495864339797138782457452826537533704916054124004165425712026894306963704126089934632120636612416861172462109882781862081 (194 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:4188637905
Step 1 took 4005ms
********** Factor found in step 1: 188513182481058422770459
Found prime factor of 24 digits: 188513182481058422770459
Composite cofactor 234371547801484950655745179195914821517544801808865115790700249395761705296434715385877071832157144233509920580436709297221125257094311763498527320735718287338634267295059 has 171 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3864597262
Step 1 took 2688ms
Step 2 took 1795ms
********** Factor found in step 2: 627030741431653533744981880641749449
Found prime factor of 36 digits: 627030741431653533744981880641749449
Prime cofactor 373779995644809214692839668065110354356962239627779248681737831030066237932196893031414159355017456527700863132383888504236292086264891 has 135 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10263+529

c221

composite cofactor 合成数の残り
23323622499470066864156910149337032149534587852058189887138353611096455954619236820881496545670227743126018078068647250465566632823387956794379467363611160972650880376261786689508628555310882158254093499968048211358033789<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:32:29 UTC 2023 年 9 月 22 日 (金) 4 時 32 分 29 秒 (日本時間)

29×10264+529

c219

name 名前Eric Jeancolas
date 日付June 22, 2022 03:18:30 UTC 2022 年 6 月 22 日 (水) 12 時 18 分 30 秒 (日本時間)
composite number 合成数
505778553486862391219102156234056022884290249677597060380788836349502563952325918937659081673590573832321846493554188250669523516571038796279070056889222357112572078860074496033045184814959304868096800646908286011293787<219>
prime factors 素因数
10769877770663025378596107<26>
46962329959267975482149154285311818590040839005317089482585451354524422461527730604344776861092342629651431097744841077329391982165588446293942447629093754766736209456496341281979999850116576241<194>
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 505778553486862391219102156234056022884290249677597060380788836349502563952325918937659081673590573832321846493554188250669523516571038796279070056889222357112572078860074496033045184814959304868096800646908286011293787 (219 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3889598311
Step 1 took 4894ms
Step 2 took 2359ms
********** Factor found in step 2: 10769877770663025378596107
Found prime factor of 26 digits: 10769877770663025378596107
Prime cofactor 46962329959267975482149154285311818590040839005317089482585451354524422461527730604344776861092342629651431097744841077329391982165588446293942447629093754766736209456496341281979999850116576241 has 194 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10265+529

c250

composite cofactor 合成数の残り
1400338854090592656514897481987740023682346460040316576863872427937577512982391257608675655457135517956969135666476508670847672444350703330808824728097220000296657323454193959455273902995355844419024531114712843607934116396047991416859938752058076517<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:10 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 10 秒 (日本時間)

29×10266+529

c264

composite cofactor 合成数の残り
482368596141051230871590153027278775781769793745841650033266799733865602129075182967398536260811709913506320691949434464404524284763805721889554224883566200931470392548236859614105123087159015302727877578176979374584165003326679973386560212907518296739853626081171<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10267+529

c255

composite cofactor 合成数の残り
925223025165803635132665094005443386746870014539365438173496667314438600510595241848910432132927073256616971595159702397232346673737531501755250512605368012746458678269936797103528039172972824017672100235174845145280103124719850923800399224167378887939457<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10268+529

c248

composite cofactor 合成数の残り
39253272308685429054241573075443165188444438290917792868077542930062614676691236873950167814337002812812746374468950599083928539111291787483104906014387977173842902705139718082738637076351389760615261298299107382641240938417572593805581911788210479<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:18 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 18 秒 (日本時間)

29×10269+529

c263

composite cofactor 合成数の残り
25594732441669339992341349991867935699395127631398855212928580705716320482906584416140553702673442174844783834126928902881617372447591784563947485822371638974754803345785788470091990292641697999032060173674910394606875677135124053784806056003180948650929895462993<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10271+529

c244

composite cofactor 合成数の残り
8969999032848874219364434948146608699301798621773269708868098365568925358345987068115255594098648002877997117839510075446634027612086312553613153132823515032350812187776269318220858491395494608058604509879992138210138241818171339469740011647799<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:25 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 25 秒 (日本時間)

29×10273+529

c212

name 名前Eric Jeancolas
date 日付June 22, 2022 04:08:42 UTC 2022 年 6 月 22 日 (水) 13 時 8 分 42 秒 (日本時間)
composite number 合成数
41976750603562435902944511500299256887034633173348210441132276170522589242591512574346705679700877913850331260300614699697183013973392970044111074186164022100102680712111301502670906865407444760886522545363055299<212>
prime factors 素因数
17281807533080535725655648313<29>
2428956029235441327637448183723133509690417418421466434930280951819952440771974176365040593245082995023400545672167559809497354383562334693478582423429554579135522645338357453805525723<184>
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 41976750603562435902944511500299256887034633173348210441132276170522589242591512574346705679700877913850331260300614699697183013973392970044111074186164022100102680712111301502670906865407444760886522545363055299 (212 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:273767340
Step 1 took 4010ms
Step 2 took 2375ms
********** Factor found in step 2: 17281807533080535725655648313
Found prime factor of 29 digits: 17281807533080535725655648313
Prime cofactor 2428956029235441327637448183723133509690417418421466434930280951819952440771974176365040593245082995023400545672167559809497354383562334693478582423429554579135522645338357453805525723 has 184 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10274+529

c246

name 名前Eric Jeancolas
date 日付June 22, 2022 12:52:46 UTC 2022 年 6 月 22 日 (水) 21 時 52 分 46 秒 (日本時間)
composite number 合成数
199462628359989659288668566908521041354817348480709189508857666596624586394772203902604098453134205396334798671512982145803959708708274858566971514632539327210679542607716752599182202489364791547496316149204464477200833619058092838997510574121223<246>
prime factors 素因数
3735293769829290749693076727<28>
53399448785284012389099812435376460852725969539173419438034677575544028839854426586859778852706305761601014507588615822236351899317936944953055016760085863094817227006300789340753449804750065825619227647484779962740849<218>
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 199462628359989659288668566908521041354817348480709189508857666596624586394772203902604098453134205396334798671512982145803959708708274858566971514632539327210679542607716752599182202489364791547496316149204464477200833619058092838997510574121223 (246 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:3452869317
Step 1 took 5401ms
Step 2 took 3357ms
********** Factor found in step 2: 3735293769829290749693076727
Found prime factor of 28 digits: 3735293769829290749693076727
Prime cofactor 53399448785284012389099812435376460852725969539173419438034677575544028839854426586859778852706305761601014507588615822236351899317936944953055016760085863094817227006300789340753449804750065825619227647484779962740849 has 218 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10276+529

c266

composite cofactor 合成数の残り
14512306512576668013905752527593584210159527077023938320536256954970324070965430427842213717094669133118927211409448743198940963513865927586833464291373443066755134632769209419875018171189014264316513747777941309993960878212825835028250016633321644611835763567221507<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10277+529

c237

composite cofactor 合成数の残り
686214949690225511942306521107200064402377255941658046373931417958553461525210320288672372508950956644738521351646836390847161867597012910160321933167090650844982362982473446399433215616522171570716827768684881138454130194815631738835009<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:33 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 33 秒 (日本時間)

29×10278+529

c257

name 名前Eric Jeancolas
date 日付June 22, 2022 13:00:10 UTC 2022 年 6 月 22 日 (水) 22 時 0 分 10 秒 (日本時間)
composite number 合成数
90704579066912440037928600035727312957834934047314455126408536729027966810748912862269476377736003213794815790798397734035651524475304765693937803628668796396232353386358552015006309169012795360635897167905503960723149185528891361718152336291644460303877289<257>
prime factors 素因数
649736529360634191474181<24>
22526312197761826977099931969<29>
6197290140788122190484804848819349778408041427540983425483137733429414051734319373323613997418858245287431930861820579000177091560161622141183996964102017173389561628350340568470780580101454622746220814101<205>
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 90704579066912440037928600035727312957834934047314455126408536729027966810748912862269476377736003213794815790798397734035651524475304765693937803628668796396232353386358552015006309169012795360635897167905503960723149185528891361718152336291644460303877289 (257 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1413408392
Step 1 took 5414ms
Step 2 took 2511ms
********** Factor found in step 2: 649736529360634191474181
Found prime factor of 24 digits: 649736529360634191474181
Composite cofactor 139602092491504586906412043741240961267681037726011229676725987354312609277984044582706999022214094702851865075736765816522483102992242701642396217169196945071970276011909649208337228969416584802807089511224555311093225835938895894869 has 234 digits

Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:103057779
Step 1 took 5457ms
Step 2 took 2391ms
********** Factor found in step 2: 22526312197761826977099931969
Found prime factor of 29 digits: 22526312197761826977099931969
Prime cofactor 6197290140788122190484804848819349778408041427540983425483137733429414051734319373323613997418858245287431930861820579000177091560161622141183996964102017173389561628350340568470780580101454622746220814101 has 205 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10279+529

c277

composite cofactor 合成数の残り
3315043438500228623685413808870598994055784179240969364426154549611339734796524919981710105166895290352080475537265660722450845907636031092821216278006401463191586648376771833561957018747142203932327389117512574302697759487882944673068129858253315043438500228623685413808870599<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10280+529

c269

composite cofactor 合成数の残り
20848080019844011939990248547238122348684293104011330876518567824164694016719136550139028904291286101674310586408273872440621667429981306802890899160996794908890742608334931024816982160872661425831278850316633302844519925354441903567015729695905652423231017685197303639<269>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10282+529

c259

name 名前Eric Jeancolas
date 日付June 22, 2022 14:41:30 UTC 2022 年 6 月 22 日 (水) 23 時 41 分 30 秒 (日本時間)
composite number 合成数
2675908958185741078281757042249174384314604105259186172033100561473862402578413649439716429638257085787409548990326818137422256655857326078373744957325751468057046712924276849747495796459877992537046420319459536949631591635078809865668044164638570170910075313<259>
prime factors 素因数
114614487466139242092416789910674974457<39>
composite cofactor 合成数の残り
23347039430563169671712364426228098450140479683234854851545917269712693094610763117135848981031109400284039216194949103777369210365537034265048534202912794172762330407065771450661382130920550466652471014241171143325183609<221>
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 2675908958185741078281757042249174384314604105259186172033100561473862402578413649439716429638257085787409548990326818137422256655857326078373744957325751468057046712924276849747495796459877992537046420319459536949631591635078809865668044164638570170910075313 (259 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2426702888
Step 1 took 6148ms
Step 2 took 756ms
********** Factor found in step 2: 114614487466139242092416789910674974457
Found prime factor of 39 digits: 114614487466139242092416789910674974457
Composite cofactor 23347039430563169671712364426228098450140479683234854851545917269712693094610763117135848981031109400284039216194949103777369210365537034265048534202912794172762330407065771450661382130920550466652471014241171143325183609 has 221 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:32:05 UTC 2023 年 9 月 22 日 (金) 4 時 32 分 5 秒 (日本時間)

29×10283+529

c270

name 名前anonymous
date 日付September 9, 2023 12:35:15 UTC 2023 年 9 月 9 日 (土) 21 時 35 分 15 秒 (日本時間)
composite number 合成数
829162745823911410932759508775685711677893017417856904393732477061758611028634294871209417036165143397036554771375125512908273503602887160621803641347292458558238867430227871202901145370306628424337643718213503278914189988767165373921348717875907604166623760843387058721<270>
prime factors 素因数
11079749054192718967<20>
composite cofactor 合成数の残り
74835877759356436582741223313328916943233139692852128027263469975029693236426892146140328965860400087153071382222324800430369467799813329721563552449255890259386731444357629425551619993292089665233481674183261775240217567002694361524601383296470631463<251>
factorization results 素因数分解の結果
11079749054192718967 http://factordb.com/index.php?id=1100000003600302657
software ソフトウェア
factordb.com

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10285+529

c242

name 名前Eric Jeancolas
date 日付June 22, 2022 21:54:05 UTC 2022 年 6 月 23 日 (木) 6 時 54 分 5 秒 (日本時間)
composite number 合成数
21391470492817013548291410767389428452067553813511305716482572527369200528466873023016098036571201902116070609150937872199814781742790764220148077588284608569686867204421331619592153737389285871019728582987113545309936661343343254076000515317<242>
prime factors 素因数
2247335145648120784268862353909<31>
composite cofactor 合成数の残り
9518593848470168893337961016768328923939198920739142273784226221750698013005610327491054117777660468013167561926339950651086334330222514791562242671695462235073244740799059090158973103842700747586875208177440513<211>
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 21391470492817013548291410767389428452067553813511305716482572527369200528466873023016098036571201902116070609150937872199814781742790764220148077588284608569686867204421331619592153737389285871019728582987113545309936661343343254076000515317 (242 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1224343031
Step 1 took 5232ms
Step 2 took 2472ms
********** Factor found in step 2: 2247335145648120784268862353909
Found prime factor of 31 digits: 2247335145648120784268862353909
Composite cofactor 9518593848470168893337961016768328923939198920739142273784226221750698013005610327491054117777660468013167561926339950651086334330222514791562242671695462235073244740799059090158973103842700747586875208177440513 has 211 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 21, 2023 19:30:09 UTC 2023 年 9 月 22 日 (金) 4 時 30 分 9 秒 (日本時間)

29×10287+529

c286

composite cofactor 合成数の残り
1964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696476964769647696477<286>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10289+529

c288

composite cofactor 合成数の残り
423976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134503<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10290+529

c287

composite cofactor 合成数の残り
32183601899942291472455275891152838815643450082123673813645847205575531584321036977848803657832822834820437696985839215164025391752119678607892750921116881963865583521995827229546766102898743729746526390553557952679007413326230745327828827629067341412527189594708571935899143250321836019<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10291+529

c268

name 名前Eric Jeancolas
date 日付June 22, 2022 21:45:46 UTC 2022 年 6 月 23 日 (木) 6 時 45 分 46 秒 (日本時間)
composite number 合成数
1635140837028320566226365988382771141466864231425927411337562528377371414280146874817727856198544132925015362111430141388234193702731543004512851863939964436472687639491367404232363509231839209496874279933333804507577982369677281284498598978349157618855447148309841357<268>
prime factors 素因数
23983477204829422754797<23>
68177805205788138276855675879067812677128869824529636816508133513609977744206828241239125073406839398258100328285739679881967520428820825955921713299253876120003856381393195411575767485226722097898344060767936878208784882952168550277845780272481<245>
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 1635140837028320566226365988382771141466864231425927411337562528377371414280146874817727856198544132925015362111430141388234193702731543004512851863939964436472687639491367404232363509231839209496874279933333804507577982369677281284498598978349157618855447148309841357 (268 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:2864696283
Step 1 took 6086ms
Step 2 took 2892ms
********** Factor found in step 2: 23983477204829422754797
Found prime factor of 23 digits: 23983477204829422754797
Prime cofactor 68177805205788138276855675879067812677128869824529636816508133513609977744206828241239125073406839398258100328285739679881967520428820825955921713299253876120003856381393195411575767485226722097898344060767936878208784882952168550277845780272481 has 245 digits
software ソフトウェア
GMP-ECM 7.0.4
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 JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10292+529

c265

composite cofactor 合成数の残り
4152799360071324413466585926566703188380540871554438189769859553109574212613530570600053163399223156544145382777954910904374750146818121378010211971179507475884587835548082610813941689501999107428649174742185493541620034101641392059524576930218516607136755289168261<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10293+529

c247

composite cofactor 合成数の残り
9927693084455417026312018043569933998682553413911584048013839105316898509168205917841044638204313049294978970654824166328024201583679732619066789982011142224797994578117511466142370303135433241817371901308367320567404276208883046080705292457220527<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovSeptember 24, 2023 21:04:41 UTC 2023 年 9 月 25 日 (月) 6 時 4 分 41 秒 (日本時間)

29×10294+529

c289

composite cofactor 合成数の残り
2528732505094960009403397012049671979795252888946090562107588673929186421299391813673222885273324592638632963719838761039661338191290068638519955536162793171654896724820538470043588372574029952051743796495978966526208655659530060351253152631852472699280688959274850203118258529937925720837<289>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10295+529

c288

composite cofactor 合成数の残り
586315229479858571709090050975378245904796365078485895346095774196467310835439438290924586687592216771269751514510869269422676581750510674499546996679490634236916268499994326894710619023613049287299872719455141866895137133026409845715878319744123299779847122792257297378413162335345801727<288>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10296+529

c294

composite cofactor 合成数の残り
116578228010934233799646245377070268531918314841614407461006592699790963177359704132497186042772149863322077504421932786621643351021064479819906737417591252612960283003698343785174465348126708474031194725840167229458112236694002251165782280109342337996462453770702685319183148416144074610065927<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10297+529

c271

composite cofactor 合成数の残り
8682906193543126774753305048298497295212296495618622159775158304425051359891339455808228806797118092524623596070096802140551106056498547823753402817855542771308950453286132138757821164405610480131366322014371302428099979173436045334928634764409327166950406560058734188047<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)

29×10299+529

c259

composite cofactor 合成数の残り
3090332063020791128015990389294704172446237252714710182536983730151409339145324334605788379976156510114720782324237668482818933712572505396606031398330259267039232802824680078712577744427456327265351602139435909909743661273473530826560567836371568737787620701<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasJune 12, 2022 04:00:00 UTC 2022 年 6 月 12 日 (日) 13 時 0 分 0 秒 (日本時間)