Table of contents 目次

23×10104-83

c104

name 名前Dmitry Domanov
date 日付December 19, 2022 17:27:45 UTC 2022 年 12 月 20 日 (火) 2 時 27 分 45 秒 (日本時間)
composite number 合成数
95833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<104>
prime factors 素因数
1535683854051165293880074959187097649141732147889<49>
62404337377464148992754881098433259751138935817084992997<56>
factorization results 素因数分解の結果
N=95833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 104 digits)
SNFS difficulty: 105 digits.
Divisors found:
 r1=1535683854051165293880074959187097649141732147889 (pp49)
 r2=62404337377464148992754881098433259751138935817084992997 (pp56)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 95833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000
deg: 4
c4: 23
c0: -8
skew: 0.77
# Murphy_E = 2.53e-07
type: snfs
lss: 1
rlim: 400000
alim: 400000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 400000/400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [200000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 31567 x 31792
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,105.000,4,0,0,0,0,0,0,0,0,400000,400000,25,25,44,44,2.2,2.2,20000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10114-83

c107

name 名前Dmitry Domanov
date 日付December 19, 2022 17:32:16 UTC 2022 年 12 月 20 日 (火) 2 時 32 分 16 秒 (日本時間)
composite number 合成数
19563260517925039886766351107531975741039807234041913268370107465855322795397629666362439252928958628997993<107>
prime factors 素因数
67848193303282014851881179498197461<35>
288338709779302376190147182841228211134487379141329792640097582310771013<72>
factorization results 素因数分解の結果
N=19563260517925039886766351107531975741039807234041913268370107465855322795397629666362439252928958628997993
  ( 107 digits)
SNFS difficulty: 114 digits.
Divisors found:
 r1=67848193303282014851881179498197461 (pp35)
 r2=288338709779302376190147182841228211134487379141329792640097582310771013 (pp72)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 19563260517925039886766351107531975741039807234041913268370107465855322795397629666362439252928958628997993
m: 10000000000000000000000000000
deg: 4
c4: 575
c0: -2
skew: 0.24
# Murphy_E = 7.62e-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, 565001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63107 x 63332
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,114.000,4,0,0,0,0,0,0,0,0,570000,570000,25,25,45,45,2.2,2.2,20000
total time: 0.01 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10117-83

c117

name 名前Dmitry Domanov
date 日付December 19, 2022 17:37:59 UTC 2022 年 12 月 20 日 (火) 2 時 37 分 59 秒 (日本時間)
composite number 合成数
958333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<117>
prime factors 素因数
181396915861179217255375248453025695751<39>
5283074019112506873955465496679843744760005192199994790742782437232502866086083<79>
factorization results 素因数分解の結果
N=958333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
  ( 117 digits)
SNFS difficulty: 118 digits.
Divisors found:
 r1=181396915861179217255375248453025695751 (pp39)
 r2=5283074019112506873955465496679843744760005192199994790742782437232502866086083 (pp79)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 958333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
m: 100000000000000000000000000000
deg: 4
c4: 115
c0: -4
skew: 0.43
# Murphy_E = 5.911e-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, 525001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 52764 x 52992
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,118.000,4,0,0,0,0,0,0,0,0,650000,650000,25,25,45,45,2.2,2.2,50000
total time: 0.01 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10121-83

c107

name 名前Dmitry Domanov
date 日付December 19, 2022 17:47:28 UTC 2022 年 12 月 20 日 (火) 2 時 47 分 28 秒 (日本時間)
composite number 合成数
19495904994710444016279049822245975426552772226079992208887779645487077066800160215395298077537095043744981<107>
prime factors 素因数
3582975724961262145749247121490688069726541<43>
5441260698164854795421453718620054903352691595634841379311164841<64>
factorization results 素因数分解の結果
N=19495904994710444016279049822245975426552772226079992208887779645487077066800160215395298077537095043744981
  ( 107 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=3582975724961262145749247121490688069726541 (pp43)
 r2=5441260698164854795421453718620054903352691595634841379311164841 (pp64)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.01 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 19495904994710444016279049822245975426552772226079992208887779645487077066800160215395298077537095043744981
m: 1000000000000000000000000000000
deg: 4
c4: 115
c0: -4
skew: 0.43
# Murphy_E = 3.822e-08
type: snfs
lss: 1
rlim: 760000
alim: 760000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 760000/760000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [380000, 680001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63867 x 64092
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,4,0,0,0,0,0,0,0,0,760000,760000,25,25,46,46,2.2,2.2,75000
total time: 0.01 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10125-83

c118

name 名前Dmitry Domanov
date 日付December 19, 2022 18:01:12 UTC 2022 年 12 月 20 日 (火) 3 時 1 分 12 秒 (日本時間)
composite number 合成数
4195849162447941004872161670402723732200095040726663281674476273012973901278222029422345113657818853997861269873530101<118>
prime factors 素因数
1479294379377153995818120469945507986613690422084613177053<58>
2836385523356461608685394260061523966583426395019293826183417<61>
factorization results 素因数分解の結果
N=4195849162447941004872161670402723732200095040726663281674476273012973901278222029422345113657818853997861269873530101
  ( 118 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=1479294379377153995818120469945507986613690422084613177053 (pp58)
 r2=2836385523356461608685394260061523966583426395019293826183417 (pp61)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 4195849162447941004872161670402723732200095040726663281674476273012973901278222029422345113657818853997861269873530101
m: 10000000000000000000000000000000
deg: 4
c4: 115
c0: -4
skew: 0.43
# Murphy_E = 2.459e-08
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 740001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 92156 x 92382
Total sieving time: 0.00 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,126.000,4,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,75000
total time: 0.03 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10127-83

c104

name 名前Dmitry Domanov
date 日付December 19, 2022 19:55:55 UTC 2022 年 12 月 20 日 (火) 4 時 55 分 55 秒 (日本時間)
composite number 合成数
59200153933549988559464748911177952345743523934320100925546878973752877792430829359347104427801708491579<104>
prime factors 素因数
42968550828037122150416755377045682876484546106587<50>
1377755423273937632165481820852317533546133247761430817<55>
factorization results 素因数分解の結果
N=59200153933549988559464748911177952345743523934320100925546878973752877792430829359347104427801708491579
  ( 104 digits)
SNFS difficulty: 128 digits.
Divisors found:
 r1=42968550828037122150416755377045682876484546106587 (pp50)
 r2=1377755423273937632165481820852317533546133247761430817 (pp55)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.02 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 59200153933549988559464748911177952345743523934320100925546878973752877792430829359347104427801708491579
m: 50000000000000000000000000000000
deg: 4
c4: 23
c0: -5
skew: 0.68
# Murphy_E = 1.728e-08
type: snfs
lss: 1
rlim: 960000
alim: 960000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 960000/960000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [480000, 855001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119102 x 119327
Total sieving time: 0.00 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,128.000,4,0,0,0,0,0,0,0,0,960000,960000,26,26,47,47,2.3,2.3,75000
total time: 0.02 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10131-83

c126

name 名前Dmitry Domanov
date 日付December 19, 2022 19:56:13 UTC 2022 年 12 月 20 日 (火) 4 時 56 分 13 秒 (日本時間)
composite number 合成数
491148227680943277931813250922931582624798629226650813256047956567121598051123832562017073166565020337807480144799039228649573<126>
prime factors 素因数
58518994663513095852883794099343641170946736176154131965822887<62>
8392971043078715224240655895015805981476310634027107090009954579<64>
factorization results 素因数分解の結果
N=491148227680943277931813250922931582624798629226650813256047956567121598051123832562017073166565020337807480144799039228649573
  ( 126 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=58518994663513095852883794099343641170946736176154131965822887 (pp62)
 r2=8392971043078715224240655895015805981476310634027107090009954579 (pp64)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 491148227680943277931813250922931582624798629226650813256047956567121598051123832562017073166565020337807480144799039228649573
m: 500000000000000000000000000000000
deg: 4
c4: 23
c0: -5
skew: 0.68
# Murphy_E = 1.103e-08
type: snfs
lss: 1
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [560000, 1160001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 138421 x 138647
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,132.000,4,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,100000
total time: 0.03 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10133-83

c109

name 名前Dmitry Domanov
date 日付December 19, 2022 20:17:49 UTC 2022 年 12 月 20 日 (火) 5 時 17 分 49 秒 (日本時間)
composite number 合成数
1047386681745123676261033720903050293594817482718058513324580569313740985284526459697788274801405683766100567<109>
prime factors 素因数
1813743116464378148946424837505426561041553520617207<52>
577472450336212930776657411060863312761782181645719832481<57>
factorization results 素因数分解の結果
N=1047386681745123676261033720903050293594817482718058513324580569313740985284526459697788274801405683766100567
  ( 109 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1813743116464378148946424837505426561041553520617207 (pp52)
 r2=577472450336212930776657411060863312761782181645719832481 (pp57)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.03 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1047386681745123676261033720903050293594817482718058513324580569313740985284526459697788274801405683766100567
m: 1000000000000000000000000000000000
deg: 4
c4: 115
c0: -4
skew: 0.43
# Murphy_E = 1.003e-08
type: snfs
lss: 1
rlim: 1200000
alim: 1200000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [600000, 1200001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 151711 x 151936
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,134.000,4,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,100000
total time: 0.03 hours.
 --------- CPU info (if available) ----------
[    0.117120] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071183] Memory: 15894484K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 594784K reserved, 0K cma-reserved)
[    0.133839] x86/mm: Memory block size: 128MB
[    0.113126] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130556] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10138-83

c121

name 名前Dmitry Domanov
date 日付December 19, 2022 21:00:21 UTC 2022 年 12 月 20 日 (火) 6 時 0 分 21 秒 (日本時間)
composite number 合成数
1090522083495866397784868697437087744993283814941355560186200123948439497518071614646791784921977342223556771713372760217<121>
prime factors 素因数
552527363465730855015744545301270817659761064800557<51>
1973697875622956973134071394573406897259373992388551167615936733364381<70>
factorization results 素因数分解の結果
N=1090522083495866397784868697437087744993283814941355560186200123948439497518071614646791784921977342223556771713372760217
  ( 121 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=552527363465730855015744545301270817659761064800557 (pp51)
 r2=1973697875622956973134071394573406897259373992388551167615936733364381 (pp70)
Version: Msieve v. 1.54 (SVN 1043M)
Total time: 0.04 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 1090522083495866397784868697437087744993283814941355560186200123948439497518071614646791784921977342223556771713372760217
m: 10000000000000000000000000000000000
deg: 4
c4: 575
c0: -2
skew: 0.24
# Murphy_E = 5.307e-09
type: snfs
lss: 1
rlim: 1440000
alim: 1440000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1440000/1440000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [720000, 1820001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 201757 x 201982
Total sieving time: 0.00 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,138.000,4,0,0,0,0,0,0,0,0,1440000,1440000,26,26,48,48,2.3,2.3,100000
total time: 0.04 hours.
 --------- CPU info (if available) ----------
[    0.117120] smpboot: CPU0: 11th Gen Intel(R) Core(TM) i7-1165G7 @ 2.80GHz (family: 0x6, model: 0x8c, stepping: 0x1)
[    0.071183] Memory: 15894484K/16489528K available (16393K kernel code, 3514K rwdata, 5516K rodata, 2936K init, 5684K bss, 594784K reserved, 0K cma-reserved)
[    0.133839] x86/mm: Memory block size: 128MB
[    0.113126] Calibrating delay loop (skipped), value calculated using timer frequency.. 5606.40 BogoMIPS (lpj=11212800)
[    0.130556] smpboot: Total of 8 processors activated (44851.20 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10147-83

c115

name 名前Eric Jeancolas
date 日付December 21, 2022 19:39:20 UTC 2022 年 12 月 22 日 (木) 4 時 39 分 20 秒 (日本時間)
composite number 合成数
1501326795508294014905736172863204456962718291269691927214724581238205526031152141781454420112759416952406121158533<115>
prime factors 素因数
4357605352858540653635424019750914085615312308173<49>
344530234828043877870494512946764855943967469626336822685530695321<66>
factorization results 素因数分解の結果
1501326795508294014905736172863204456962718291269691927214724581238205526031152141781454420112759416952406121158533=4357605352858540653635424019750914085615312308173*344530234828043877870494512946764855943967469626336822685530695321

cado polynomial
n: 1501326795508294014905736172863204456962718291269691927214724581238205526031152141781454420112759416952406121158533
skew: 0.32
type: snfs
c0: -2
c5: 575
Y0: 100000000000000000000000000000
Y1: -1
# f(x) = 575*x^5-2
# g(x) = -x+100000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2000000
tasks.lim1 = 2000000
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: 4357605352858540653635424019750914085615312308173 344530234828043877870494512946764855943967469626336822685530695321
Info:Square Root: Total cpu/real time for sqrt: 42.73/8.76198
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.14/0.27535
Info:Generate Free Relations: Total cpu/real time for freerel: 24.36/3.33937
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6099215
Info:Lattice Sieving: Average J: 1893.96 for 85525 special-q, max bucket fill -bkmult 1.0,1s:1.137400
Info:Lattice Sieving: Total time: 9015.42s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.91/10.0229
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 10.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 59.64/19.4205
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 18.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 47.54/18.913
Info:Filtering - Merging: Merged matrix has 206851 rows and total weight 35267361 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 43.53/6.17
Info:Filtering - Merging: Total cpu/real time for replay: 5.95/4.89164
Info:Linear Algebra: Total cpu/real time for bwc: 412.17/110.28
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 63.81, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 16.99, WCT time 4.64
Info:Linear Algebra: Mksol: WCT time 37.7, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3328 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 7.4/1.84922
Info:Square Root: Total cpu/real time for sqrt: 42.73/8.76198
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 25184/4795.38
Info:root: Cleaning up computation data in /tmp/cado.ksga729q
4357605352858540653635424019750914085615312308173 344530234828043877870494512946764855943967469626336822685530695321
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10148-83

c132

name 名前Eric Jeancolas
date 日付December 21, 2022 22:27:15 UTC 2022 年 12 月 22 日 (木) 7 時 27 分 15 秒 (日本時間)
composite number 合成数
447724464146583626825703357328453014436031607925283479898402009121520298460113172319058629603864539373666556600496822524513819829547<132>
prime factors 素因数
94564340089151090642007443655626697502800683101723945126222545883<65>
4734601475825757801519885921309230504829285713567909078478893780209<67>
factorization results 素因数分解の結果
447724464146583626825703357328453014436031607925283479898402009121520298460113172319058629603864539373666556600496822524513819829547=94564340089151090642007443655626697502800683101723945126222545883*4734601475825757801519885921309230504829285713567909078478893780209

cado polynomial
n: 447724464146583626825703357328453014436031607925283479898402009121520298460113172319058629603864539373666556600496822524513819829547
skew: 0.77
type: snfs
c0: -8
c4: 23
Y0: 10000000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^4-8
# 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: 94564340089151090642007443655626697502800683101723945126222545883 4734601475825757801519885921309230504829285713567909078478893780209
Info:Square Root: Total cpu/real time for sqrt: 85.07/17.4953
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.38/0.328463
Info:Generate Free Relations: Total cpu/real time for freerel: 30.9/4.13044
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 6054270
Info:Lattice Sieving: Average J: 1896.93 for 168353 special-q, max bucket fill -bkmult 1.0,1s:1.169200
Info:Lattice Sieving: Total time: 15003.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 13.38/9.89797
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 9.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 55.84/17.8589
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 16.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 39.14/15.9521
Info:Filtering - Merging: Merged matrix has 267374 rows and total weight 45783182 (171.2 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 57.12/8.09071
Info:Filtering - Merging: Total cpu/real time for replay: 8.06/6.63307
Info:Linear Algebra: Total cpu/real time for bwc: 704.92/186.31
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 110.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 23.88, WCT time 6.51
Info:Linear Algebra: Mksol: WCT time 63.51, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 9.45/2.47899
Info:Square Root: Total cpu/real time for sqrt: 85.07/17.4953
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 39947.7/7855.17
Info:root: Cleaning up computation data in /tmp/cado.sqi595zg
94564340089151090642007443655626697502800683101723945126222545883 4734601475825757801519885921309230504829285713567909078478893780209
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10150-83

c134

name 名前Eric Jeancolas
date 日付December 22, 2022 08:00:24 UTC 2022 年 12 月 22 日 (木) 17 時 0 分 24 秒 (日本時間)
composite number 合成数
40600991357973549348592591784308082930237247299160758829523236568781650329221587253581195019600616543969346260835979379349846876910009<134>
prime factors 素因数
1065440579425464888022293839015768281435167901328457215827483<61>
38107232014635196419195384412973733168679607508254288991595278327561051323<74>
factorization results 素因数分解の結果
40600991357973549348592591784308082930237247299160758829523236568781650329221587253581195019600616543969346260835979379349846876910009=1065440579425464888022293839015768281435167901328457215827483*38107232014635196419195384412973733168679607508254288991595278327561051323

cado polynomial
n: 40600991357973549348592591784308082930237247299160758829523236568781650329221587253581195019600616543969346260835979379349846876910009
skew: 0.81
type: snfs
c0: -8
c5: 23
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-8
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2300000
tasks.lim1 = 2300000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 49
tasks.sieve.mfb1 = 49
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: 1065440579425464888022293839015768281435167901328457215827483 38107232014635196419195384412973733168679607508254288991595278327561051323
Info:Square Root: Total cpu/real time for sqrt: 42.82/8.6181
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.29/0.312025
Info:Generate Free Relations: Total cpu/real time for freerel: 49.83/6.55851
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11682323
Info:Lattice Sieving: Average J: 1893.06 for 140907 special-q, max bucket fill -bkmult 1.0,1s:1.149760
Info:Lattice Sieving: Total time: 22091.9s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.13/20.5231
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.42/37.5612
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 131.95/46.2601
Info:Filtering - Merging: Merged matrix has 205438 rows and total weight 35004439 (170.4 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 42.28/6.01255
Info:Filtering - Merging: Total cpu/real time for replay: 5.8/4.79426
Info:Linear Algebra: Total cpu/real time for bwc: 417.38/113.15
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 65.3, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (6528 iterations)
Info:Linear Algebra: Lingen CPU time 17.37, WCT time 4.75
Info:Linear Algebra: Mksol: WCT time 39.04, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (3200 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 7.17/1.79791
Info:Square Root: Total cpu/real time for sqrt: 42.82/8.6181
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 43599.5/11452.5
Info:root: Cleaning up computation data in /tmp/cado.vg41uspp
1065440579425464888022293839015768281435167901328457215827483 38107232014635196419195384412973733168679607508254288991595278327561051323
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10151-83

c146

name 名前Eric Jeancolas
date 日付December 22, 2022 15:05:55 UTC 2022 年 12 月 23 日 (金) 0 時 5 分 55 秒 (日本時間)
composite number 合成数
56343051774855124866001524691974985644770286928216012401350665435938440071570373941485536003700023713075703504243856647598218187733088755494672397<146>
prime factors 素因数
6157033178461609768009225228256398209230814273033474104254930129<64>
9151006684835332357724030065098289991428152251824983871236087556236171357907117693<82>
factorization results 素因数分解の結果
56343051774855124866001524691974985644770286928216012401350665435938440071570373941485536003700023713075703504243856647598218187733088755494672397=6157033178461609768009225228256398209230814273033474104254930129*9151006684835332357724030065098289991428152251824983871236087556236171357907117693

cado polynomial
n: 56343051774855124866001524691974985644770286928216012401350665435938440071570373941485536003700023713075703504243856647598218187733088755494672397
skew: 0.51
type: snfs
c0: -4
c5: 115
Y0: 1000000000000000000000000000000
Y1: -1
# f(x) = 115*x^5-4
# g(x) = -x+1000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2400000
tasks.lim1 = 2400000
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: 6157033178461609768009225228256398209230814273033474104254930129 9151006684835332357724030065098289991428152251824983871236087556236171357907117693
Info:Square Root: Total cpu/real time for sqrt: 51.27/10.7185
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.31/0.317137
Info:Generate Free Relations: Total cpu/real time for freerel: 48.68/6.41098
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11633061
Info:Lattice Sieving: Average J: 1893.89 for 173130 special-q, max bucket fill -bkmult 1.0,1s:1.155100
Info:Lattice Sieving: Total time: 23284.8s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.2/20.3435
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 118.71/37.4392
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 34.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 107.5/39.5024
Info:Filtering - Merging: Merged matrix has 263947 rows and total weight 45072889 (170.8 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.31/7.71121
Info:Filtering - Merging: Total cpu/real time for replay: 7.61/6.3408
Info:Linear Algebra: Total cpu/real time for bwc: 682.46/181.01
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 107.32, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8320 iterations)
Info:Linear Algebra: Lingen CPU time 23.69, WCT time 6.46
Info:Linear Algebra: Mksol: WCT time 61.92, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 9.44/2.40135
Info:Square Root: Total cpu/real time for sqrt: 51.27/10.7185
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 49885.3/12085.2
Info:root: Cleaning up computation data in /tmp/cado.xlozvnua
6157033178461609768009225228256398209230814273033474104254930129 9151006684835332357724030065098289991428152251824983871236087556236171357907117693
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10155-83

c132

name 名前Eric Jeancolas
date 日付December 22, 2022 19:13:12 UTC 2022 年 12 月 23 日 (金) 4 時 13 分 12 秒 (日本時間)
composite number 合成数
521109133171825622785538420405707004212215550882636400571403087852781862276925084839830010173820881216320541994537701464696931563919<132>
prime factors 素因数
101035649573306821835873648747377844439907680557588802462835611133<66>
5157675883438872689298669337332214127710673057803522634648806104443<67>
factorization results 素因数分解の結果
521109133171825622785538420405707004212215550882636400571403087852781862276925084839830010173820881216320541994537701464696931563919=101035649573306821835873648747377844439907680557588802462835611133*5157675883438872689298669337332214127710673057803522634648806104443

cado polynomial
n: 521109133171825622785538420405707004212215550882636400571403087852781862276925084839830010173820881216320541994537701464696931563919
skew: 0.81
type: snfs
c0: -8
c5: 23
Y0: 10000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-8
# g(x) = -x+10000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 2800000
tasks.lim1 = 2800000
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: 101035649573306821835873648747377844439907680557588802462835611133 5157675883438872689298669337332214127710673057803522634648806104443
Info:Square Root: Total cpu/real time for sqrt: 146.3/26.8171
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.47/0.367425
Info:Generate Free Relations: Total cpu/real time for freerel: 48.6/6.42868
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11664510
Info:Lattice Sieving: Average J: 1894 for 162861 special-q, max bucket fill -bkmult 1.0,1s:1.157220
Info:Lattice Sieving: Total time: 23733.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.74/20.5641
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 121.24/38.9042
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 108.91/39.7651
Info:Filtering - Merging: Merged matrix has 267425 rows and total weight 45736603 (171.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 55.28/7.82533
Info:Filtering - Merging: Total cpu/real time for replay: 7.95/6.53569
Info:Linear Algebra: Total cpu/real time for bwc: 692.52/183.11
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 110.45, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8448 iterations)
Info:Linear Algebra: Lingen CPU time 22.8, WCT time 6.22
Info:Linear Algebra: Mksol: WCT time 61.06, iteration CPU time 0.01, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (4224 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 9.39/2.36619
Info:Square Root: Total cpu/real time for sqrt: 146.3/26.8171
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 50910.7/12393
Info:root: Cleaning up computation data in /tmp/cado.2jrbla08
101035649573306821835873648747377844439907680557588802462835611133 5157675883438872689298669337332214127710673057803522634648806104443
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10157-83

c156

name 名前Bob Backstrom
date 日付December 20, 2022 07:41:07 UTC 2022 年 12 月 20 日 (火) 16 時 41 分 7 秒 (日本時間)
composite number 合成数
259009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009<156>
prime factors 素因数
271429325032476053138718548986238734613127110688881<51>
954241068012894426116539576573814277593272745495087414076056444745466457921347722848650338526456426770689<105>
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 259009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009 (156 digits)
Using B1=26220000, B2=144285141016, polynomial Dickson(12), sigma=1:1659438906
Step 1 took 62605ms
Step 2 took 24953ms
********** Factor found in step 2: 271429325032476053138718548986238734613127110688881
Found prime factor of 51 digits: 271429325032476053138718548986238734613127110688881
Prime cofactor 954241068012894426116539576573814277593272745495087414076056444745466457921347722848650338526456426770689 has 105 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10163-83

c137

name 名前Eric Jeancolas
date 日付December 23, 2022 03:17:33 UTC 2022 年 12 月 23 日 (金) 12 時 17 分 33 秒 (日本時間)
composite number 合成数
42210395556096909870761910605525410538951784527621091895028711753860434702493005487799418577210513576940227774609661690117899562740718837<137>
prime factors 素因数
3360847643059530317844085869520929771147169886073931479362359845571<67>
12559449293473742231871455001776170825601997057509739006496328952387047<71>
factorization results 素因数分解の結果
42210395556096909870761910605525410538951784527621091895028711753860434702493005487799418577210513576940227774609661690117899562740718837=3360847643059530317844085869520929771147169886073931479362359845571*12559449293473742231871455001776170825601997057509739006496328952387047

cado polynomial
n: 42210395556096909870761910605525410538951784527621091895028711753860434702493005487799418577210513576940227774609661690117899562740718837
skew: 0.20
type: snfs
c0: -1
c5: 2875
Y0: 100000000000000000000000000000000
Y1: -1
# f(x) = 2875*x^5-1
# g(x) = -x+100000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 3700000
tasks.lim1 = 3700000
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: 3360847643059530317844085869520929771147169886073931479362359845571 12559449293473742231871455001776170825601997057509739006496328952387047
Info:Square Root: Total cpu/real time for sqrt: 116.87/22.6569
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.8/0.458105
Info:Generate Free Relations: Total cpu/real time for freerel: 49.64/6.4765
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630465
Info:Lattice Sieving: Average J: 1896.38 for 290924 special-q, max bucket fill -bkmult 1.0,1s:1.153430
Info:Lattice Sieving: Total time: 37988.1s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.49/20.5679
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 122.76/37.7525
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.19/33.0589
Info:Filtering - Merging: Merged matrix has 462268 rows and total weight 79175678 (171.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 95.25/13.7695
Info:Filtering - Merging: Total cpu/real time for replay: 14.32/11.7769
Info:Linear Algebra: Total cpu/real time for bwc: 2146.02/566.27
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 343.82, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14464 iterations)
Info:Linear Algebra: Lingen CPU time 44.65, WCT time 12.16
Info:Linear Algebra: Mksol: WCT time 200.4, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7296 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 17.41/4.42884
Info:Square Root: Total cpu/real time for sqrt: 116.87/22.6569
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 87952.4/19862.9
Info:root: Cleaning up computation data in /tmp/cado.l37vxatp
3360847643059530317844085869520929771147169886073931479362359845571 12559449293473742231871455001776170825601997057509739006496328952387047
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10164-83

c146

name 名前Eric Jeancolas
date 日付December 23, 2022 18:21:30 UTC 2022 年 12 月 24 日 (土) 3 時 21 分 30 秒 (日本時間)
composite number 合成数
73107794191851630663313565950079359672410898579128643679596745274075466914063747301420626782669691480434112663316400313875700649508103147936093403<146>
prime factors 素因数
13036211166291873980093581320972371<35>
5608055381987725713278583056075034951699736587365540141960432244311078645671385877920666763326840997377019899993<112>
factorization results 素因数分解の結果
73107794191851630663313565950079359672410898579128643679596745274075466914063747301420626782669691480434112663316400313875700649508103147936093403=13036211166291873980093581320972371*5608055381987725713278583056075034951699736587365540141960432244311078645671385877920666763326840997377019899993

cado polynomial
n: 73107794191851630663313565950079359672410898579128643679596745274075466914063747301420626782669691480434112663316400313875700649508103147936093403
skew: 0.64
type: snfs
c0: -5
c5: 46
Y0: 500000000000000000000000000000000
Y1: -1
# f(x) = 46*x^5-5
# g(x) = -x+500000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4000000
tasks.lim1 = 4000000
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: 13036211166291873980093581320972371 5608055381987725713278583056075034951699736587365540141960432244311078645671385877920666763326840997377019899993
Info:Square Root: Total cpu/real time for sqrt: 215.8/40.4136
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.92/0.501129
Info:Generate Free Relations: Total cpu/real time for freerel: 48.71/6.35621
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11629443
Info:Lattice Sieving: Average J: 1893.93 for 328974 special-q, max bucket fill -bkmult 1.0,1s:1.146710
Info:Lattice Sieving: Total time: 43033.7s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 27.69/20.8453
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 20.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.27/38.4643
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 35.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 81.84/33.0221
Info:Filtering - Merging: Merged matrix has 514415 rows and total weight 87719657 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 106.12/15.4283
Info:Filtering - Merging: Total cpu/real time for replay: 16.43/13.5904
Info:Linear Algebra: Total cpu/real time for bwc: 2710.38/710.22
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 442.26, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (16128 iterations)
Info:Linear Algebra: Lingen CPU time 51.2, WCT time 13.89
Info:Linear Algebra: Mksol: WCT time 242.76, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (8064 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 21.49/5.32369
Info:Square Root: Total cpu/real time for sqrt: 215.8/40.4136
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 100039/22535.8
Info:root: Cleaning up computation data in /tmp/cado.buli_7rz
13036211166291873980093581320972371 5608055381987725713278583056075034951699736587365540141960432244311078645671385877920666763326840997377019899993
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10165-83

c129

name 名前Eric Jeancolas
date 日付December 24, 2022 06:36:35 UTC 2022 年 12 月 24 日 (土) 15 時 36 分 35 秒 (日本時間)
composite number 合成数
133577200095080402174232997683377015170718124677701997018480256575826876373202961538427588597513139668181306425590944979127275547<129>
prime factors 素因数
53041143338365050382296813951302880843101393977619<50>
2518369546503780351985238698843488307596429977992659735690250341872069238103513<79>
factorization results 素因数分解の結果
133577200095080402174232997683377015170718124677701997018480256575826876373202961538427588597513139668181306425590944979127275547=53041143338365050382296813951302880843101393977619*2518369546503780351985238698843488307596429977992659735690250341872069238103513

cado polynomial
n: 133577200095080402174232997683377015170718124677701997018480256575826876373202961538427588597513139668181306425590944979127275547
skew: 0.81
type: snfs
c0: -8
c5: 23
Y0: 1000000000000000000000000000000000
Y1: -1
# f(x) = 23*x^5-8
# g(x) = -x+1000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 4100000
tasks.lim1 = 4100000
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: 53041143338365050382296813951302880843101393977619 2518369546503780351985238698843488307596429977992659735690250341872069238103513
Info:Square Root: Total cpu/real time for sqrt: 111.04/21.8457
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 1.98/0.511883
Info:Generate Free Relations: Total cpu/real time for freerel: 48.58/6.3188
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 11630780
Info:Lattice Sieving: Average J: 1893.33 for 279691 special-q, max bucket fill -bkmult 1.0,1s:1.148810
Info:Lattice Sieving: Total time: 38654.6s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.45/21.4044
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 21.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 125.5/38.9488
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 36.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 84.84/33.2243
Info:Filtering - Merging: Merged matrix has 468063 rows and total weight 80087213 (171.1 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 97.17/14.0838
Info:Filtering - Merging: Total cpu/real time for replay: 14.3/11.7642
Info:Linear Algebra: Total cpu/real time for bwc: 2169.99/571.63
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 356.12, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (14720 iterations)
Info:Linear Algebra: Lingen CPU time 46.78, WCT time 12.73
Info:Linear Algebra: Mksol: WCT time 192.61, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7424 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 18.03/4.65917
Info:Square Root: Total cpu/real time for sqrt: 111.04/21.8457
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 89481.9/20210.6
Info:root: Cleaning up computation data in /tmp/cado.7xte10gw
53041143338365050382296813951302880843101393977619 2518369546503780351985238698843488307596429977992659735690250341872069238103513
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10166-83

c155

name 名前Bob Backstrom
date 日付December 20, 2022 09:43:23 UTC 2022 年 12 月 20 日 (火) 18 時 43 分 23 秒 (日本時間)
composite number 合成数
49661181398287099252418508357808925309247555484567740533080102420405416061114412400271419902557718638247901407914759758220628757864313738680006705048056509<155>
prime factors 素因数
13002743434870326384006336735767053<35>
769054711557582738917272886445087061681349<42>
4966206984396887522495604373787168287199327017480997540434500196636660318519997<79>
factorization results 素因数分解の結果
Number: n
N=3819284879920601135302469859185846823885004795471665078894531102240617075343514464122556487484742397404923205822098435953  ( 121 digits)
Divisors found:

Tue Dec 20 20:39:33 2022  p42 factor: 769054711557582738917272886445087061681349
Tue Dec 20 20:39:33 2022  p79 factor: 4966206984396887522495604373787168287199327017480997540434500196636660318519997
Tue Dec 20 20:39:33 2022  elapsed time 00:05:34 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.336).
Factorization parameters were as follows:
#
# N = 23x10^166-8 = 76(165)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 49661181398287099252418508357808925309247555484567740533080102420405416061114412400271419902557718638247901407914759758220628757864313738680006705048056509 (155 digits)
# Using B1=25670000, B2=96191014936, polynomial Dickson(12), sigma=1:966954773
# Step 1 took 61482ms
# Step 2 took 20031ms
# ********** Factor found in step 2: 13002743434870326384006336735767053
# Found prime factor of 35 digits: 13002743434870326384006336735767053
# Composite cofactor 3819284879920601135302469859185846823885004795471665078894531102240617075343514464122556487484742397404923205822098435953 has 121 digits
#

n: 3819284879920601135302469859185846823885004795471665078894531102240617075343514464122556487484742397404923205822098435953

Y0: -436895504256502430228639
Y1: 48437145278333
c0: 7635713171146728511667954340600
c1: 151161616005356295043476598
c2: 482060783511951884131
c3: -40518490382478
c4: -583442886
c5: 240

# skew 829075.22, size 1.491e-11, alpha -6.707, combined = 2.688e-10 rroots = 5

skew: 829075.22

type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 6750000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1157852 hash collisions in 6961940 relations (5952964 unique)
Msieve: matrix is 422523 x 422748 (151.1 MB)

Sieving start time : 2022/12/20 20:29:34
Sieving end time  : 2022/12/20 20:33:42

Total sieving time: 0hrs 4min 8secs.

Total relation processing time: 0hrs 2min 42sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 7sec.

Prototype def-par.txt line would be:
gnfs,120,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,60000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10172-83

c159

name 名前Bob Backstrom
date 日付December 23, 2022 13:49:10 UTC 2022 年 12 月 23 日 (金) 22 時 49 分 10 秒 (日本時間)
composite number 合成数
961901571309282030634157204618501736763878822650106742524977622042456149077239055907215153472738702845608045327127460261104630171898014690406312658586369156013<159>
prime factors 素因数
1522796345250438528466687277514952093274209587697917375581780691981880753219<76>
631667901167104555262264360561796424280327563834393972299728665748314502197379438927<84>
factorization results 素因数分解の結果
Number: n
N=961901571309282030634157204618501736763878822650106742524977622042456149077239055907215153472738702845608045327127460261104630171898014690406312658586369156013  ( 159 digits)
SNFS difficulty: 172 digits.
Divisors found:

Wed Dec 21 18:03:23 2022  p76 factor: 1522796345250438528466687277514952093274209587697917375581780691981880753219
Wed Dec 21 18:03:23 2022  p84 factor: 631667901167104555262264360561796424280327563834393972299728665748314502197379438927
Wed Dec 21 18:03:23 2022  elapsed time 00:13:44 (Msieve 1.54 - dependency 5)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.330).
Factorization parameters were as follows:
#
# N = 23x10^172-8 = 76(171)4
#
n: 961901571309282030634157204618501736763878822650106742524977622042456149077239055907215153472738702845608045327127460261104630171898014690406312658586369156013
m: 10000000000000000000000000000000000
deg: 5
c5: 575
c0: -2
skew: 0.32
# Murphy_E = 2.077e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 8250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1468102 hash collisions in 13391373 relations (12722013 unique)
Msieve: matrix is 687917 x 688143 (239.1 MB)

Sieving start time : 2022/12/21 17:00:17
Sieving end time  : 2022/12/21 17:49:22

Total sieving time: 0hrs 49min 5secs.

Total relation processing time: 0hrs 6min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 3min 45sec.

Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,5300000,5300000,27,27,52,52,2.4,2.4,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10178-83

c169

name 名前Bob Backstrom
date 日付December 20, 2022 22:25:52 UTC 2022 年 12 月 21 日 (水) 7 時 25 分 52 秒 (日本時間)
composite number 合成数
2838384190265693535206613527413273409737519732894861797130346649107677668577187211643582938575228794673520176412581076298329675678424021383105810515087213323541091508033<169>
prime factors 素因数
4170152520815835771847936697881308088769663526302953731686393211391<67>
680642776516577098785463407316445148111880168960807898332158807225718167967686753301978631940198774463<102>
factorization results 素因数分解の結果
Number: n
N=2838384190265693535206613527413273409737519732894861797130346649107677668577187211643582938575228794673520176412581076298329675678424021383105810515087213323541091508033  ( 169 digits)
SNFS difficulty: 178 digits.
Divisors found:

Wed Dec 21 08:09:32 2022  p67 factor: 4170152520815835771847936697881308088769663526302953731686393211391
Wed Dec 21 08:09:32 2022  p102 factor: 680642776516577098785463407316445148111880168960807898332158807225718167967686753301978631940198774463
Wed Dec 21 08:09:32 2022  elapsed time 00:15:56 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 23x10^178-8 = 76(177)4
#
n: 2838384190265693535206613527413273409737519732894861797130346649107677668577187211643582938575228794673520176412581076298329675678424021383105810515087213323541091508033
m: 100000000000000000000000000000000000
deg: 5
c5: 2875
c0: -1
skew: 0.20
# Murphy_E = 1.073e-10
type: snfs
lss: 1
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 16100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1848776 hash collisions in 12884413 relations (11679792 unique)
Msieve: matrix is 878630 x 878855 (303.1 MB)

Sieving start time : 2022/12/21 06:18:32
Sieving end time  : 2022/12/21 07:53:20

Total sieving time: 1hrs 34min 48secs.

Total relation processing time: 0hrs 11min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 2sec.

Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,6600000,6600000,27,27,51,51,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10179-83

c172

name 名前Bob Backstrom
date 日付December 20, 2022 12:30:02 UTC 2022 年 12 月 20 日 (火) 21 時 30 分 2 秒 (日本時間)
composite number 合成数
1024783766258849422190733260730165954481158234779700308956087210046656390954885635931740475746114673146607893196814883655728702188994086833703283837418051918568265225616091<172>
prime factors 素因数
9543515288490650697369800641912912775587626793381<49>
107380114693662687412110161888821434695535312580831894942692117621494962612391214748807795065540082259186802882036227766911<123>
factorization results 素因数分解の結果
Number: n
N=1024783766258849422190733260730165954481158234779700308956087210046656390954885635931740475746114673146607893196814883655728702188994086833703283837418051918568265225616091  ( 172 digits)
SNFS difficulty: 180 digits.
Divisors found:

Tue Dec 20 23:20:43 2022  p49 factor: 9543515288490650697369800641912912775587626793381
Tue Dec 20 23:20:43 2022  p123 factor: 107380114693662687412110161888821434695535312580831894942692117621494962612391214748807795065540082259186802882036227766911
Tue Dec 20 23:20:43 2022  elapsed time 00:13:40 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.291).
Factorization parameters were as follows:
#
# N = 23x10^179-8 = 76(178)4
#
n: 1024783766258849422190733260730165954481158234779700308956087210046656390954885635931740475746114673146607893196814883655728702188994086833703283837418051918568265225616091
m: 500000000000000000000000000000000000
deg: 5
c5: 46
c0: -5
skew: 0.64
# Murphy_E = 9.885e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved  special-q in [100000, 9100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1329694 hash collisions in 12629630 relations (12060128 unique)
Msieve: matrix is 808312 x 808538 (280.8 MB)

Sieving start time : 2022/12/20 20:47:01
Sieving end time  : 2022/12/20 23:06:43

Total sieving time: 2hrs 19min 42secs.

Total relation processing time: 0hrs 9min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 0min 52sec.

Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,7000000,7000000,27,27,51,51,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10180-83

c122

name 名前Eric Jeancolas
date 日付December 21, 2022 17:42:36 UTC 2022 年 12 月 22 日 (木) 2 時 42 分 36 秒 (日本時間)
composite number 合成数
22867559873871164007626191816854126019067196803958450275145915020783238823920734123589143280591270750824986479943989591361<122>
prime factors 素因数
5267016795161266786639993353726461483567121447263<49>
4341653114696589753538758990144589127597220994466139712041842560623390047<73>
factorization results 素因数分解の結果
22867559873871164007626191816854126019067196803958450275145915020783238823920734123589143280591270750824986479943989591361=5267016795161266786639993353726461483567121447263*4341653114696589753538758990144589127597220994466139712041842560623390047

cado polynomial
n: 22867559873871164007626191816854126019067196803958450275145915020783238823920734123589143280591270750824986479943989591361
skew: 52174.579
c0: -4573597515309990383414576912
c1: -1100902729740197008539996
c2: -82732678824877670863
c3: 1115603066169591
c4: 13754049120
c5: 54000
Y0: -275328393380897952418959
Y1: 74715403888076767
# MurphyE (Bf=1.342e+08,Bg=1.342e+08,area=8.389e+12) = 1.183e-06
# f(x) = 54000*x^5+13754049120*x^4+1115603066169591*x^3-82732678824877670863*x^2-1100902729740197008539996*x-4573597515309990383414576912
# g(x) = 74715403888076767*x-275328393380897952418959

cado parameters (extracts)
tasks.lim0 = 3000000
tasks.lim1 = 5500000
tasks.lpb0 = 27
tasks.lpb1 = 27
tasks.sieve.mfb0 = 54
tasks.sieve.mfb1 = 54
tasks.sieve.ncurves0 = 14
tasks.sieve.ncurves1 = 19
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 4341653114696589753538758990144589127597220994466139712041842560623390047 5267016795161266786639993353726461483567121447263
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 19893.3
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 20167/35.040/43.423/48.870/1.047
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16278/34.520/38.463/43.920/0.881
Info:Polynomial Selection (size optimized): Total time: 3060.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 2057.26
Info:Polynomial Selection (root optimized): Rootsieve time: 2008.23
Info:Generate Factor Base: Total cpu/real time for makefb: 8.56/1.28291
Info:Generate Free Relations: Total cpu/real time for freerel: 130.92/16.4784
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 13880392
Info:Lattice Sieving: Average J: 1895.54 for 339843 special-q, max bucket fill -bkmult 1.0,1s:1.256210
Info:Lattice Sieving: Total time: 65277.5s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 33.4/53.0679
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 52.8s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 213.45/165.676
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 148.49999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 140.64/144.131
Info:Filtering - Merging: Merged matrix has 795692 rows and total weight 79577104 (100.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 54.94/10.1388
Info:Filtering - Merging: Total cpu/real time for replay: 17.31/13.6254
Info:Linear Algebra: Total cpu/real time for bwc: 4088.49/1078.98
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 656.47, iteration CPU time 0.02, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (25088 iterations)
Info:Linear Algebra: Lingen CPU time 81.09, WCT time 22.02
Info:Linear Algebra: Mksol: WCT time 383.81, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (12544 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 34.31/7.74104
Info:Square Root: Total cpu/real time for sqrt: 1137.98/150.808
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 158646/18553.6
Info:root: Cleaning up computation data in /tmp/cado.5blduhmk
4341653114696589753538758990144589127597220994466139712041842560623390047 5267016795161266786639993353726461483567121447263
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 20, 2022 14:28:59 UTC 2022 年 12 月 20 日 (火) 23 時 28 分 59 秒 (日本時間)
4511e64480Ignacio SantosDecember 20, 2022 15:42:57 UTC 2022 年 12 月 21 日 (水) 0 時 42 分 57 秒 (日本時間)

23×10185-83

c150

name 名前Bob Backstrom
date 日付January 27, 2023 07:14:11 UTC 2023 年 1 月 27 日 (金) 16 時 14 分 11 秒 (日本時間)
composite number 合成数
115406786427582131443802278941506530809282841009833751073736837858351381634745667845803098113655175709683572846604348525708234042497566916197336024303<150>
prime factors 素因数
959758218032783402150085049461775521584701863822151<51>
120245687152469965852451331502113489508122767084307315307171301650490577950953280988144132663555353<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 115406786427582131443802278941506530809282841009833751073736837858351381634745667845803098113655175709683572846604348525708234042497566916197336024303 (150 digits)
Using B1=33310000, B2=144292738606, polynomial Dickson(12), sigma=1:331232107
Step 1 took 67185ms
Step 2 took 22919ms
********** Factor found in step 2: 959758218032783402150085049461775521584701863822151
Found prime factor of 51 digits: 959758218032783402150085049461775521584701863822151
Prime cofactor 120245687152469965852451331502113489508122767084307315307171301650490577950953280988144132663555353 has 99 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10187-83

c186

name 名前Bob Backstrom
date 日付December 20, 2022 02:55:08 UTC 2022 年 12 月 20 日 (火) 11 時 55 分 8 秒 (日本時間)
composite number 合成数
259009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009<186>
prime factors 素因数
10690516127393732297548533995683195458485999680955700659870662271<65>
24227923696342008515939045241774481760577391968153739147032646812194467722786118364932132271460252364652023562987364337679<122>
factorization results 素因数分解の結果
Number: n
N=259009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009  ( 186 digits)
SNFS difficulty: 187 digits.
Divisors found:

Tue Dec 20 13:43:31 2022  p65 factor: 10690516127393732297548533995683195458485999680955700659870662271
Tue Dec 20 13:43:31 2022  p122 factor: 24227923696342008515939045241774481760577391968153739147032646812194467722786118364932132271460252364652023562987364337679
Tue Dec 20 13:43:31 2022  elapsed time 00:23:36 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.331).
Factorization parameters were as follows:
#
# N = 23x10^187-8 = 76(186)4
#
n: 259009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009009
m: 10000000000000000000000000000000000000
deg: 5
c5: 575
c0: -2
skew: 0.32
# Murphy_E = 5.146e-11
type: snfs
lss: 1
rlim: 9400000
alim: 9400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 9400000/9400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 17500000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1751027 hash collisions in 14686837 relations (13796541 unique)
Msieve: matrix is 1036689 x 1036915 (361.6 MB)

Sieving start time : 2022/12/20 08:18:39
Sieving end time  : 2022/12/20 13:19:09

Total sieving time: 5hrs 0min 30secs.

Total relation processing time: 0hrs 17min 11sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 21sec.

Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,9400000,9400000,27,27,52,52,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10191-83

c169

name 名前Bob Backstrom
date 日付December 20, 2022 19:06:15 UTC 2022 年 12 月 21 日 (水) 4 時 6 分 15 秒 (日本時間)
composite number 合成数
7287444133684642315496369343259044160113022328665689992278626065979794315232433345782239200717643845640635332593074224316434173804898346944284633177348632456812589667137<169>
prime factors 素因数
177077441588178375735403771304413703884159642817<48>
41153994931961730920835250893689655663181804767544641954593602862380856023727506119502047685253773994619812147118696760961<122>
factorization results 素因数分解の結果
Number: n
N=7287444133684642315496369343259044160113022328665689992278626065979794315232433345782239200717643845640635332593074224316434173804898346944284633177348632456812589667137  ( 169 digits)
SNFS difficulty: 192 digits.
Divisors found:

Wed Dec 21 05:27:16 2022  p48 factor: 177077441588178375735403771304413703884159642817
Wed Dec 21 05:27:16 2022  p122 factor: 41153994931961730920835250893689655663181804767544641954593602862380856023727506119502047685253773994619812147118696760961
Wed Dec 21 05:27:16 2022  elapsed time 01:02:48 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.357).
Factorization parameters were as follows:
#
# N = 23x10^191-8 = 76(190)4
#
n: 7287444133684642315496369343259044160113022328665689992278626065979794315232433345782239200717643845640635332593074224316434173804898346944284633177348632456812589667137
m: 100000000000000000000000000000000000000
deg: 5
c5: 115
c0: -4
skew: 0.51
# Murphy_E = 2.928e-11
type: snfs
lss: 1
rlim: 11100000
alim: 11100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 11100000/11100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 18395161)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1623028 hash collisions in 12994222 relations (12087223 unique)
Msieve: matrix is 1715575 x 1715800 (598.3 MB)

Sieving start time : 2022/12/20 23:24:30
Sieving end time  : 2022/12/21 04:24:08

Total sieving time: 4hrs 59min 38secs.

Total relation processing time: 0hrs 56min 19sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 18sec.

Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11100000,11100000,27,27,53,53,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10194-83

c167

name 名前Bob Backstrom
date 日付December 21, 2022 06:06:20 UTC 2022 年 12 月 21 日 (水) 15 時 6 分 20 秒 (日本時間)
composite number 合成数
56992843324773634087984243081349977644250947676377552969490715213415881433186171304002862956349920411326805047295395741810109087056732667126104705106011280312410141303<167>
prime factors 素因数
832858177262768470191855002251396070653358354242135099186717<60>
68430430150885430572731819398106105048591320619652313626124360620630830416498942712249408212187862580625059<107>
factorization results 素因数分解の結果
Number: n
N=56992843324773634087984243081349977644250947676377552969490715213415881433186171304002862956349920411326805047295395741810109087056732667126104705106011280312410141303  ( 167 digits)
SNFS difficulty: 195 digits.
Divisors found:

Wed Dec 21 16:54:21 2022  p60 factor: 832858177262768470191855002251396070653358354242135099186717
Wed Dec 21 16:54:21 2022  p107 factor: 68430430150885430572731819398106105048591320619652313626124360620630830416498942712249408212187862580625059
Wed Dec 21 16:54:21 2022  elapsed time 01:07:50 (Msieve 1.54 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.314).
Factorization parameters were as follows:
#
# N = 23x10^194-8 = 76(193)4
#
n: 56992843324773634087984243081349977644250947676377552969490715213415881433186171304002862956349920411326805047295395741810109087056732667126104705106011280312410141303
m: 500000000000000000000000000000000000000
deg: 5
c5: 46
c0: -5
skew: 0.64
# Murphy_E = 2.4e-11
type: snfs
lss: 1
rlim: 12500000
alim: 12500000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12500000/12500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19124687)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1746425 hash collisions in 13381440 relations (12355957 unique)
Msieve: matrix is 1785878 x 1786103 (623.4 MB)

Sieving start time : 2022/12/21 09:46:21
Sieving end time  : 2022/12/21 15:46:06

Total sieving time: 5hrs 59min 45secs.

Total relation processing time: 1hrs 1min 15sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 13sec.

Prototype def-par.txt line would be:
snfs,195,5,0,0,0,0,0,0,0,0,12500000,12500000,27,27,53,53,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 20, 2022 10:11:31 UTC 2022 年 12 月 20 日 (火) 19 時 11 分 31 秒 (日本時間)
2350Ignacio SantosDecember 20, 2022 14:28:40 UTC 2022 年 12 月 20 日 (火) 23 時 28 分 40 秒 (日本時間)

23×10195-83

c174

name 名前Bob Backstrom
date 日付December 20, 2022 22:28:43 UTC 2022 年 12 月 21 日 (水) 7 時 28 分 43 秒 (日本時間)
composite number 合成数
375740332252017428904107099103910256504084922871707943978488280124374177733426898458415627292201337831220616722653417213081883178957709464566062340059750145542869995583561057<174>
prime factors 素因数
27137219188094968783670837015372830128682859688561476932964113631502048635304373<80>
13845940869905114934538880777414832139737801677659612942507119764852867582027299212552152182909<95>
factorization results 素因数分解の結果
Number: n
N=375740332252017428904107099103910256504084922871707943978488280124374177733426898458415627292201337831220616722653417213081883178957709464566062340059750145542869995583561057  ( 174 digits)
SNFS difficulty: 196 digits.
Divisors found:

Tue Dec 20 20:15:49 2022  p80 factor: 27137219188094968783670837015372830128682859688561476932964113631502048635304373
Tue Dec 20 20:15:49 2022  p95 factor: 13845940869905114934538880777414832139737801677659612942507119764852867582027299212552152182909
Tue Dec 20 20:15:49 2022  elapsed time 01:02:57 (Msieve 1.54 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.356).
Factorization parameters were as follows:
#
# N = 23x10^195-8 = 76(194)4
#
n: 375740332252017428904107099103910256504084922871707943978488280124374177733426898458415627292201337831220616722653417213081883178957709464566062340059750145542869995583561057
m: 1000000000000000000000000000000000000000
deg: 5
c5: 23
c0: -8
skew: 0.81
# Murphy_E = 2.572e-11
type: snfs
lss: 1
rlim: 13100000
alim: 13100000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 13100000/13100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 19350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1632121 hash collisions in 13386712 relations (12507990 unique)
Msieve: matrix is 1684815 x 1685040 (587.0 MB)

Sieving start time : 2022/12/20 13:49:38
Sieving end time  : 2022/12/20 19:12:33

Total sieving time: 5hrs 22min 55secs.

Total relation processing time: 0hrs 54min 29sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 4min 13sec.

Prototype def-par.txt line would be:
snfs,196,5,0,0,0,0,0,0,0,0,13100000,13100000,27,27,53,53,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)

23×10196-83

c168

name 名前Bob Backstrom
date 日付February 21, 2023 05:33:47 UTC 2023 年 2 月 21 日 (火) 14 時 33 分 47 秒 (日本時間)
composite number 合成数
922365155596909186476495698506600939985487797641308856880958595165722596442495525761206236281562100925926160484082376523903583726037907371310853458116157958229944342447<168>
prime factors 素因数
4287810367659668083693002236017664907776860114059532348455264299995585247<73>
215113327434847771100303500208056501138221269647524030952749045028394631464169250581126053047601<96>
factorization results 素因数分解の結果
Number: n
N=922365155596909186476495698506600939985487797641308856880958595165722596442495525761206236281562100925926160484082376523903583726037907371310853458116157958229944342447  ( 168 digits)
SNFS difficulty: 197 digits.
Divisors found:

Tue Feb 21 16:22:37 2023  prp73 factor: 4287810367659668083693002236017664907776860114059532348455264299995585247
Tue Feb 21 16:22:37 2023  prp96 factor: 215113327434847771100303500208056501138221269647524030952749045028394631464169250581126053047601
Tue Feb 21 16:22:37 2023  elapsed time 02:26:29 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.107).
Factorization parameters were as follows:
#
# N = 23x10^196-8 = 76(195)4
#
n: 922365155596909186476495698506600939985487797641308856880958595165722596442495525761206236281562100925926160484082376523903583726037907371310853458116157958229944342447
m: 1000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -4
skew: 0.51
# Murphy_E = 1.816e-11
type: snfs
lss: 1
rlim: 12900000
alim: 12900000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 12900000/12900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved  special-q in [100000, 32050000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1863350 hash collisions in 13629135 relations (12474995 unique)
Msieve: matrix is 2167154 x 2167379 (614.5 MB)

Sieving start time: 2023/02/21 01:33:59
Sieving end time  : 2023/02/21 13:55:51

Total sieving time: 12hrs 21min 52secs.

Total relation processing time: 2hrs 17min 1sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 38sec.

Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,12900000,12900000,27,27,53,53,2.5,2.5,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 20, 2022 10:11:38 UTC 2022 年 12 月 20 日 (火) 19 時 11 分 38 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 19:25:44 UTC 2023 年 1 月 22 日 (日) 4 時 25 分 44 秒 (日本時間)

23×10198-83

c173

name 名前Bob Backstrom
date 日付February 12, 2023 05:43:36 UTC 2023 年 2 月 12 日 (日) 14 時 43 分 36 秒 (日本時間)
composite number 合成数
79330572052054370155603915474697223828811557536077888690905044976322225777110424083364988501681966083236054316464011647134073776756327593452915631691169665434597427726333811<173>
prime factors 素因数
98660416245481640797832868526503101697569099<44>
2643509458451165081204466352900058643375188459285867009<55>
304170277465398731038043311191247620653351138348419749915395191469462112121<75>
factorization results 素因数分解の結果
Number: n
N=804077005459496821172927331427725328643576641014336590043893078440548272148232999078233971913655553215820573646920660369852916089  ( 129 digits)
Divisors found:

Sun Feb 12 16:39:32 2023  prp55 factor: 2643509458451165081204466352900058643375188459285867009
Sun Feb 12 16:39:32 2023  prp75 factor: 304170277465398731038043311191247620653351138348419749915395191469462112121
Sun Feb 12 16:39:32 2023  elapsed time 00:27:21 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.093).
Factorization parameters were as follows:
#
# N = 23x10^198-8 = 76(197)4
#
# GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
# Input number is 79330572052054370155603915474697223828811557536077888690905044976322225777110424083364988501681966083236054316464011647134073776756327593452915631691169665434597427726333811 (173 digits)
# Using B1=42920000, B2=240490660426, polynomial Dickson(12), sigma=1:2458969244
# Step 1 took 107444ms
# Step 2 took 37097ms
# ********** Factor found in step 2: 98660416245481640797832868526503101697569099
# Found prime factor of 44 digits: 98660416245481640797832868526503101697569099
# Composite cofactor 804077005459496821172927331427725328643576641014336590043893078440548272148232999078233971913655553215820573646920660369852916089 has 129 digits
#

n: 804077005459496821172927331427725328643576641014336590043893078440548272148232999078233971913655553215820573646920660369852916089

Y0: -23188958572986663381966104
Y1: 318564401266343
c0: -334307661023619207407457242433
c1: 2914745215618385903651440
c2: 136797836621599729846
c3: -1153456426500500
c4: -5827384673
c5: 120

# skew 171308.62, size 1.707e-12, alpha -4.797, combined = 8.240e-11 rroots = 5

skew: 171308.62

type: gnfs
rlim: 4400000
alim: 4400000
lpbr: 26
lpba: 26
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 50/50
Sieved  special-q in [100000, 35000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1553899 hash collisions in 8245063 relations (6810731 unique)
Msieve: matrix is 929301 x 929526 (265.3 MB)

Sieving start time: 2023/02/12 12:02:55
Sieving end time  : 2023/02/12 16:11:57

Total sieving time: 4hrs 9min 2secs.

Total relation processing time: 0hrs 23min 59sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 28sec.

Prototype def-par.txt line would be:
gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4400000,4400000,26,26,50,50,2.6,2.6,60000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 20, 2022 10:11:46 UTC 2022 年 12 月 20 日 (火) 19 時 11 分 46 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 19:25:52 UTC 2023 年 1 月 22 日 (日) 4 時 25 分 52 秒 (日本時間)

23×10200-83

c139

name 名前Ignacio Santos
date 日付December 20, 2022 15:04:31 UTC 2022 年 12 月 21 日 (水) 0 時 4 分 31 秒 (日本時間)
composite number 合成数
1313088607859553858869567243792982491908346346155450185701459852535246236130514893921005615800602742579565782049437500095336851144578935019<139>
prime factors 素因数
183355401415650559035607462757382836242774949<45>
7161439465221411948757515026653176877658432672484499568693465329851236692976310735471073668431<94>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1233428832
Step 1 took 20828ms
Step 2 took 9063ms
********** Factor found in step 2: 183355401415650559035607462757382836242774949
Found prime factor of 45 digits: 183355401415650559035607462757382836242774949
Prime cofactor 7161439465221411948757515026653176877658432672484499568693465329851236692976310735471073668431 has 94 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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 20, 2022 14:29:55 UTC 2022 年 12 月 20 日 (火) 23 時 29 分 55 秒 (日本時間)

23×10201-83

c200

name 名前Bob Backstrom
date 日付June 12, 2023 14:23:58 UTC 2023 年 6 月 12 日 (月) 23 時 23 分 58 秒 (日本時間)
composite number 合成数
56372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549<200>
prime factors 素因数
10973241996695983437350798459591030465782828511875429<53>
5137273837265366149989592009180101508109791039989975414887546852953711303252298349511096472550950829579303731111277886416621106466633396254632213281<148>
factorization results 素因数分解の結果
Number: n
N=56372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549  ( 200 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Jun 13 00:14:12 2023  prp53 factor: 10973241996695983437350798459591030465782828511875429
Tue Jun 13 00:14:12 2023  prp148 factor: 5137273837265366149989592009180101508109791039989975414887546852953711303252298349511096472550950829579303731111277886416621106466633396254632213281
Tue Jun 13 00:14:12 2023  elapsed time 03:26:22 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.102).
Factorization parameters were as follows:
#
# N = 23x10^201-8 = 76(200)4
#
n: 56372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549019607843137254901960784313725490196078431372549
m: 10000000000000000000000000000000000000000
deg: 5
c5: 115
c0: -4
skew: 0.51
# Murphy_E = 1.122e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 55350000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2513215 hash collisions in 15910321 relations (14136227 unique)
Msieve: matrix is 2507791 x 2508016 (708.4 MB)

Sieving start time: 2023/06/11 22:13:22
Sieving end time  : 2023/06/12 20:47:33

Total sieving time: 22hrs 34min 11secs.

Total relation processing time: 3hrs 18min 58sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 57sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,27,27,56,56,2.6,2.6,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e634001000Dmitry DomanovDecember 23, 2022 22:18:17 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 17 秒 (日本時間)
2400dddJune 9, 2023 01:45:42 UTC 2023 年 6 月 9 日 (金) 10 時 45 分 42 秒 (日本時間)

23×10202-83

c184

name 名前Bob Backstrom
date 日付July 7, 2023 00:47:00 UTC 2023 年 7 月 7 日 (金) 9 時 47 分 0 秒 (日本時間)
composite number 合成数
8117069394329101398276987720199654278749623787008228752725780323281983956364426373366297615929566620010297635711281086965807965017940037550967631025315252388736461783195231065637070239<184>
prime factors 素因数
543323916410589973004889644283909426501531618772505905168755923857561126578595313<81>
14939650453736019089163430672188266953983520509269466945995792654836471202779509825695457528049267881103<104>
factorization results 素因数分解の結果
Number: n
N=8117069394329101398276987720199654278749623787008228752725780323281983956364426373366297615929566620010297635711281086965807965017940037550967631025315252388736461783195231065637070239  ( 184 digits)
SNFS difficulty: 202 digits.
Divisors found:

Fri Jul  7 10:14:19 2023  prp81 factor: 543323916410589973004889644283909426501531618772505905168755923857561126578595313
Fri Jul  7 10:14:19 2023  prp104 factor: 14939650453736019089163430672188266953983520509269466945995792654836471202779509825695457528049267881103
Fri Jul  7 10:14:19 2023  elapsed time 02:01:30 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
#
# N = 23x10^202-8 = 76(201)4
#
n: 8117069394329101398276987720199654278749623787008228752725780323281983956364426373366297615929566620010297635711281086965807965017940037550967631025315252388736461783195231065637070239
m: 10000000000000000000000000000000000000000
deg: 5
c5: 575
c0: -2
skew: 0.32
# Murphy_E = 1.227e-11
type: snfs
lss: 1
rlim: 16800000
alim: 16800000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16800000/16800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 34000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3172548 hash collisions in 18580886 relations (16237383 unique)
Msieve: matrix is 1998292 x 1998517 (566.0 MB)

Sieving start time: 2023/07/06 19:21:10
Sieving end time  : 2023/07/07 08:12:26

Total sieving time: 12hrs 51min 16secs.

Total relation processing time: 1hrs 54min 12sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 23sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16800000,16800000,27,27,56,56,2.6,2.6,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:18:25 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 25 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:28:20 UTC 2023 年 1 月 19 日 (木) 6 時 28 分 20 秒 (日本時間)

23×10203-83

c175

name 名前Dmitry Domanov
date 日付December 22, 2022 22:44:10 UTC 2022 年 12 月 23 日 (金) 7 時 44 分 10 秒 (日本時間)
composite number 合成数
4754814626496418285926804380284196696721843042114017704897309826024091833367885926859707379562484472964523199859823157870820719353416673702538163349057302661101274401788083269<175>
prime factors 素因数
29850812716350926003937458340398776651<38>
composite cofactor 合成数の残り
159285935417495207507277662897942399090457234090379390288592090090984668507187607940693243336382011275725620216681420921051455075172191919<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3459158601
Step 1 took 8733ms
Step 2 took 4231ms
********** Factor found in step 2: 29850812716350926003937458340398776651
Found prime factor of 38 digits: 29850812716350926003937458340398776651
Composite cofactor 159285935417495207507277662897942399090457234090379390288592090090984668507187607940693243336382011275725620216681420921051455075172191919 has 138 digits

c138

name 名前Lionel Debroux
date 日付March 21, 2023 21:18:28 UTC 2023 年 3 月 22 日 (水) 6 時 18 分 28 秒 (日本時間)
composite number 合成数
159285935417495207507277662897942399090457234090379390288592090090984668507187607940693243336382011275725620216681420921051455075172191919<138>
prime factors 素因数
6570772436603610429435477427710438307480987030418627223116633<61>
24241584525156538880606502303685014096275568609946329100936952027599082479943<77>
factorization results 素因数分解の結果
6570772436603610429435477427710438307480987030418627223116633 24241584525156538880606502303685014096275568609946329100936952027599082479943
software ソフトウェア
CADO-NFS
execution environment 実行環境
10 x Xeon L5640, Debian sid amd64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e633501000Dmitry DomanovDecember 22, 2022 10:04:04 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 4 秒 (日本時間)
2350Ignacio SantosDecember 23, 2022 16:43:18 UTC 2022 年 12 月 24 日 (土) 1 時 43 分 18 秒 (日本時間)
4511e64480Ignacio SantosDecember 28, 2022 16:47:44 UTC 2022 年 12 月 29 日 (木) 1 時 47 分 44 秒 (日本時間)
5043e66454Ignacio SantosJanuary 16, 2023 11:57:44 UTC 2023 年 1 月 16 日 (月) 20 時 57 分 44 秒 (日本時間)

23×10204-83

c169

name 名前Bob Backstrom
date 日付October 4, 2023 00:37:09 UTC 2023 年 10 月 4 日 (水) 9 時 37 分 9 秒 (日本時間)
composite number 合成数
2375094050806507380232757743647040966113045181078154545660551810079640897063240660766735927501068639928491252196859693984687688829753335812374701980619834717116323328049<169>
prime factors 素因数
142465526943553679874987236791962956574632609939579673578923<60>
16671359744084225296598150229943819079002379238856367464183684973300340740506327630777294933328085347413673363<110>
factorization results 素因数分解の結果
Number: n
N=2375094050806507380232757743647040966113045181078154545660551810079640897063240660766735927501068639928491252196859693984687688829753335812374701980619834717116323328049  ( 169 digits)
SNFS difficulty: 205 digits.
Divisors found:

Wed Oct  4 11:31:59 2023  prp60 factor: 142465526943553679874987236791962956574632609939579673578923
Wed Oct  4 11:31:59 2023  prp110 factor: 16671359744084225296598150229943819079002379238856367464183684973300340740506327630777294933328085347413673363
Wed Oct  4 11:31:59 2023  elapsed time 03:02:50 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.035).
Factorization parameters were as follows:
#
# N = 23x10^204-8 = 76(203)4
#
n: 2375094050806507380232757743647040966113045181078154545660551810079640897063240660766735927501068639928491252196859693984687688829753335812374701980619834717116323328049
m: 50000000000000000000000000000000000000000
deg: 5
c5: 46
c0: -5
skew: 0.64
# Murphy_E = 9.148e-12
type: snfs
lss: 1
rlim: 18400000
alim: 18400000
lpbr: 27
lpba: 27
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18400000/18400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 56/56
Sieved  special-q in [100000, 42000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3332146 hash collisions in 18924093 relations (15988132 unique)
Msieve: matrix is 2387389 x 2387614 (673.4 MB)

Sieving start time: 2023/10/03 14:24:58
Sieving end time  : 2023/10/04 08:28:46

Total sieving time: 18hrs 3min 48secs.

Total relation processing time: 2hrs 55min 4sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 2min 39sec.

Prototype def-par.txt line would be:
snfs,205,5,0,0,0,0,0,0,0,0,18400000,18400000,27,27,56,56,2.6,2.6,100000
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 JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:13 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 13 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:47:25 UTC 2023 年 1 月 18 日 (水) 5 時 47 分 25 秒 (日本時間)

23×10205-83

c189

name 名前Dmitry Domanov
date 日付January 21, 2023 23:01:46 UTC 2023 年 1 月 22 日 (日) 8 時 1 分 46 秒 (日本時間)
composite number 合成数
134638871119997381274907573504498449847437624380718972652159035009697770581896680706272743527636778748625094016256391312659364276462476489997918193073554272509092952717429005296178822987127<189>
prime factors 素因数
178073761012877136573131591796757508208580207<45>
756084840091972750146883683538608514434858487569523934728915138374923737739736644586516681951697067917598168900697356794312932729419821112413561<144>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1908665770
Step 1 took 31167ms
Step 2 took 13783ms
********** Factor found in step 2: 178073761012877136573131591796757508208580207
Found prime factor of 45 digits: 178073761012877136573131591796757508208580207
Prime cofactor 756084840091972750146883683538608514434858487569523934728915138374923737739736644586516681951697067917598168900697356794312932729419821112413561 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:18:33 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 33 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:28:31 UTC 2023 年 1 月 19 日 (木) 6 時 28 分 31 秒 (日本時間)

23×10206-83

c183

name 名前Bob Backstrom
date 日付June 13, 2024 19:50:47 UTC 2024 年 6 月 14 日 (金) 4 時 50 分 47 秒 (日本時間)
composite number 合成数
629970751399572926453237714279145365342042948376955191121380912357090583599617245403745305266648758732860310641876670194133502346153346286263659523265118605039374826265372751951610229<183>
prime factors 素因数
215180201204679995302226570134251007711949891<45>
25830669025780195345754489586459730386620358551235752644211<59>
113339794865425188487581765950088432955849831660071376076279302808718474550711229<81>
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 629970751399572926453237714279145365342042948376955191121380912357090583599617245403745305266648758732860310641876670194133502346153346286263659523265118605039374826265372751951610229 (183 digits)
Using B1=52010000, B2=288593765476, polynomial Dickson(12), sigma=1:4153267686
Step 1 took 152510ms
Step 2 took 50903ms
********** Factor found in step 2: 215180201204679995302226570134251007711949891
Found prime factor of 45 digits: 215180201204679995302226570134251007711949891
Composite cofactor 2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319 has 139 digits
===

CADO:

STA:Wed Jun 12 08:48:36 PM AEST 2024 (2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319 - C139)

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319 2>&1 | tee -a log-36 

/home/bob/Downloads/Math/cado-nfs/cado-nfs.py:93: DeprecationWarning: 'locale.getdefaultlocale' is deprecated and slated for removal in Python 3.15. Use setlocale(), getencoding() and getlocale() instead.
  loc = locale.getdefaultlocale()[1]
Debug:root: Looking for parameter file for c139 in directory /home/bob/Downloads/Math/cado-nfs/parameters/factor
Info:root: Using default parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140
Debug:Parameters: Reading parameter file /home/bob/Downloads/Math/cado-nfs/parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.5guszeb9
Info:Database: Opened connection to database /tmp/cado.5guszeb9/c140.db
Info:root: Set tasks.threads=18 based on --server-threads 18
Info:root: tasks.threads = 18 [via tasks.threads]
Info:root: tasks.polyselect.threads = 2 [via tasks.polyselect.threads]
Info:root: tasks.sieve.las.threads = 2 [via tasks.sieve.las.threads]
Info:root: tasks.linalg.bwc.threads = 18 [via tasks.threads]
Info:root: tasks.sqrt.threads = 8 [via tasks.sqrt.threads]
Info:root: slaves.scriptpath is /home/bob/Downloads/Math/cado-nfs/build/VM9
Info:root: Command line parameters: /home/bob/Downloads/Math/cado-nfs/cado-nfs.py -t 18 --no-colors --screenlog DEBUG 2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319
Debug:root: Root parameter dictionary:
N = 2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319
name = c140
===
Info:Polynomial Selection (root optimized): Best polynomial is:
n: 2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319
skew: 648640.289
c0: 2860204540925929918009615092204280
c1: 20418638555504323982158457163
c2: -52415942587203785275214
c3: -109221929099435670
c4: 59526152812
c5: 5040
Y0: 515117592193522476148111011
Y1: 741152010209483306977
# MurphyE (Bf=1.074e+09,Bg=1.074e+09,area=8.053e+13) = 1.394e-06
# f(x) = 5040*x^5+59526152812*x^4-109221929099435670*x^3-52415942587203785275214*x^2+20418638555504323982158457163*x+2860204540925929918009615092204280
# g(x) = 741152010209483306977*x+515117592193522476148111011
===
Debug:Command: Process with PID 194422 finished successfully
Info:Square Root: finished
Info:Square Root: Factors: 113339794865425188487581765950088432955849831660071376076279302808718474550711229 25830669025780195345754489586459730386620358551235752644211
Debug:Square Root: Exit SqrtTask.run(sqrt)
Info:Complete Factorization / Discrete logarithm: Square Root
Info:Square Root: Total cpu/real time for sqrt: 1904.32/231.13 
Info:HTTP server: Got notification to stop serving Workunits
Info:Filtering - Merging: Total cpu/real time for merge: 147.56/24.9466
Info:Filtering - Merging: Total cpu/real time for replay: 32.09/27.9172
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 295.82/266.005
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 265.6s
Info:Linear Algebra: Total cpu/real time for bwc: 32866.9/4428.6
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 19454.06, WCT time 2583.13, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (60000 iterations)
Info:Linear Algebra: Lingen CPU time 66.86, WCT time 67.84
Info:Linear Algebra: Mksol: CPU time 10677.46,  WCT time 1436.69, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (32000 iterations)
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 93020.2
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 64189/42.150/51.538/62.510/2.298
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 54318/39.460/44.786/55.290/1.289
Info:Polynomial Selection (size optimized): Total time: 17926.7
Info:Lattice Sieving: Aggregate statistics: 
Info:Lattice Sieving: Total number of relations: 73337089
Info:Lattice Sieving: Average J: 3904.29 for 595475 special-q, max bucket fill -bkmult 1.0,1s:1.182170
Info:Lattice Sieving: Total time: 367001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 376.21/347.32
Info:Quadratic Characters: Total cpu/real time for characters: 55.52/14.6168
Info:Square Root: Total cpu/real time for sqrt: 1904.32/231.13
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 933.3/684.606
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 508.5s
Info:Generate Free Relations: Total cpu/real time for freerel: 433.2/53.4606
Info:Generate Factor Base: Total cpu/real time for makefb: 3.64/0.668567
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 1722.55
Info:Polynomial Selection (root optimized): Rootsieve time: 1722.13
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire Complete Factorization 406598/48771.1 [13:32:51]
Info:root: Cleaning up computation data in /tmp/cado.5guszeb9
113339794865425188487581765950088432955849831660071376076279302808718474550711229 25830669025780195345754489586459730386620358551235752644211

END:Thu Jun 13 10:21:29 AM AEST 2024 (2927642728618619640163738247342953189153519520574191058656853256982090662677030745278428076537167429024973918593640927561485661447439545319 - C139)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:18:40 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 40 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:28:41 UTC 2023 年 1 月 19 日 (木) 6 時 28 分 41 秒 (日本時間)

23×10207-83

c115

name 名前Eric Jeancolas
date 日付December 21, 2022 09:55:08 UTC 2022 年 12 月 21 日 (水) 18 時 55 分 8 秒 (日本時間)
composite number 合成数
8887572988249988941798347965170597066414086015115513015528368923980226795392045796913373676254443181049325649071929<115>
prime factors 素因数
5332755115417603894034800458874638484973453824697<49>
1666600621235166174055551961111976814288462653847858967760676118657<67>
factorization results 素因数分解の結果
8887572988249988941798347965170597066414086015115513015528368923980226795392045796913373676254443181049325649071929=5332755115417603894034800458874638484973453824697*1666600621235166174055551961111976814288462653847858967760676118657

cado polynomial
n: 8887572988249988941798347965170597066414086015115513015528368923980226795392045796913373676254443181049325649071929
skew: 80286.1
c0: 3181340586650730073774726083
c1: -25692059712353049634319
c2: -4350671597681160996
c3: -5061968070744
c4: 6632296
c5: 1200
Y0: -23649070616840386567510
Y1: 7666820689584433
# MurphyE (Bf=6.711e+07,Bg=6.711e+07,area=6.711e+12) = 1.014e-06
# f(x) = 1200*x^5+6632296*x^4-5061968070744*x^3-4350671597681160996*x^2-25692059712353049634319*x+3181340586650730073774726083
# g(x) = 7666820689584433*x-23649070616840386567510

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

cado log (extracts)
Info:Square Root: Factors: 1666600621235166174055551961111976814288462653847858967760676118657 5332755115417603894034800458874638484973453824697
Info:Square Root: Total cpu/real time for sqrt: 246.2/74.4389
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 21492.9
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 21692/33.860/40.997/47.460/1.066
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 16977/32.890/36.306/41.510/0.839
Info:Polynomial Selection (size optimized): Total time: 1780.99
Info:Quadratic Characters: Total cpu/real time for characters: 16.26/6.36895
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 119.57/138.251
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 100.6s
Info:Generate Free Relations: Total cpu/real time for freerel: 63.27/17.5863
Info:Square Root: Total cpu/real time for sqrt: 246.2/74.4389
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 28.96/26.5023
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 25.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 86.08/83.6831
Info:Filtering - Merging: Merged matrix has 444948 rows and total weight 69109026 (155.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 71.83/21.1078
Info:Filtering - Merging: Total cpu/real time for replay: 15.69/13.2661
Info:Generate Factor Base: Total cpu/real time for makefb: 4.17/1.16591
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 7041295
Info:Lattice Sieving: Average J: 1903.03 for 140853 special-q, max bucket fill -bkmult 1.0,1s:1.248710
Info:Lattice Sieving: Total time: 16002.1s
Info:Linear Algebra: Total cpu/real time for bwc: 2671.96/712.55
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 1653.17, WCT time 437.78, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (13952 iterations)
Info:Linear Algebra: Lingen CPU time 70.37, WCT time 18.31
Info:Linear Algebra: Mksol: CPU time 909.69,  WCT time 240.38, iteration CPU time 0.03, COMM 0.0, cpu-wait 0.0, comm-wait 0.0 (7040 iterations)
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 329.62
Info:Polynomial Selection (root optimized): Rootsieve time: 328.57
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 34664.5/9599.86
Info:root: Cleaning up computation data in /tmp/cado.bm65t59b
1666600621235166174055551961111976814288462653847858967760676118657 5332755115417603894034800458874638484973453824697
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 22.04.1 LTS [5.15.0-46-generic|libc 2.35 (Ubuntu GLIBC 2.35-0ubuntu3.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 20, 2022 14:28:50 UTC 2022 年 12 月 20 日 (火) 23 時 28 分 50 秒 (日本時間)

23×10209-83

c191

composite cofactor 合成数の残り
27888495837211464785484457997717217413176407880559536189868204128839382613155037955023139829057617091934135704212464722963883010839624629317623223405421943849804404316422017655751761029688037<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:18:48 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 48 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:28:50 UTC 2023 年 1 月 19 日 (木) 6 時 28 分 50 秒 (日本時間)

23×10212-83

c174

name 名前Dmitry Domanov
date 日付December 22, 2022 19:23:00 UTC 2022 年 12 月 23 日 (金) 4 時 23 分 0 秒 (日本時間)
composite number 合成数
531248602992513079773038353911033331968196896631617251966177567093758983852573047256609270812879193240499010102098825432147662398694411033227009663782868294325618625920927563<174>
prime factors 素因数
8393203664910205481537209166794318817<37>
63295092577524941083637456599285375395699753505671144786343497398633391665410985707776979188336312327803971499104201506034993034679636139<137>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1900132472
Step 1 took 9268ms
Step 2 took 4453ms
********** Factor found in step 2: 8393203664910205481537209166794318817
Found prime factor of 37 digits: 8393203664910205481537209166794318817
Prime cofactor 63295092577524941083637456599285375395699753505671144786343497398633391665410985707776979188336312327803971499104201506034993034679636139 has 137 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 22, 2022 10:04:20 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 20 秒 (日本時間)

23×10214-83

c201

composite cofactor 合成数の残り
562269093213730999841063726661331415177950666231470612801046211052887035354928928784973520942229815576221685482095522328335030581008650364383856036463256994317397033977094261179213128362340485889706663<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 20:12:20 UTC 2022 年 12 月 28 日 (水) 5 時 12 分 20 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:53:13 UTC 2023 年 1 月 21 日 (土) 16 時 53 分 13 秒 (日本時間)

23×10215-83

c190

composite cofactor 合成数の残り
1452751927636814801930235736736474396079851633359489014658822604563169478139791218201829246117744150217242240257194803783056911131198830961122668719550716472727403184830872112293979963034951<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:18:56 UTC 2022 年 12 月 24 日 (土) 7 時 18 分 56 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:28:58 UTC 2023 年 1 月 19 日 (木) 6 時 28 分 58 秒 (日本時間)

23×10217-83

c179

composite cofactor 合成数の残り
56048643946077952988554272048762083017662834785597422435681718803998038445571477212254513179379295154209197578738589312818540783516321817607139097798237918836270034142222564268979<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:27 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 27 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:47:38 UTC 2023 年 1 月 18 日 (水) 5 時 47 分 38 秒 (日本時間)

23×10218-83

c180

composite cofactor 合成数の残り
566900364264076220347488610940383837043551405112028054390838276607422523394468178528383341106321846569361594510584623752398226072566410881019147260002585132094034558506407079321071<180>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:33 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 33 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:47:48 UTC 2023 年 1 月 18 日 (水) 5 時 47 分 48 秒 (日本時間)

23×10221-83

c197

composite cofactor 合成数の残り
24833803692319066658025290694185442311343578373397010016509838651135676790535107642387713533736846806218350280829388180881634591941078952335606626396003185210138442185228147078861112437414002116551<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:19:03 UTC 2022 年 12 月 24 日 (土) 7 時 19 分 3 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:30:26 UTC 2023 年 1 月 19 日 (木) 6 時 30 分 26 秒 (日本時間)

23×10222-83

c156

composite cofactor 合成数の残り
770343721957707917896660723463662254507999829654189353778493349194300518366616213724792567609360940384636559486797705341183862360916599863400455275487925081<156>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:40 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 40 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:47:58 UTC 2023 年 1 月 18 日 (水) 5 時 47 分 58 秒 (日本時間)

23×10223-83

c173

composite cofactor 合成数の残り
16607795988709205304340534907436012613110553706906651767541199163335136978065153338006694557528239350949353986319059917928982892313645120303093188840720513179762289726221779<173>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:47 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 47 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:48:08 UTC 2023 年 1 月 18 日 (水) 5 時 48 分 8 秒 (日本時間)

23×10224-83

c163

composite cofactor 合成数の残り
2106102957856445111150488608262021518914988209076901592778869806269267772583056900403129090155768315037747672212749142948456340387281530881070353769286054339826731<163>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:04:57 UTC 2022 年 12 月 22 日 (木) 19 時 4 分 57 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:48:16 UTC 2023 年 1 月 18 日 (水) 5 時 48 分 16 秒 (日本時間)

23×10227-83

c197

name 名前Dmitry Domanov
date 日付December 24, 2022 22:02:07 UTC 2022 年 12 月 25 日 (日) 7 時 2 分 7 秒 (日本時間)
composite number 合成数
10693328020459718664793895861433633359578186089008223443272491413808581216366667971923517479461011891893505993324899396172065930053790104732646058776381312943235296946990648687963207277270661176321<197>
prime factors 素因数
1236754814923701648847113846181233377<37>
8646279675991732886585750478615556353304336889502399750267473526035955674608087698411533890439641880260623666521984655184316563083135748880122200269848548957473<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3902896373
Step 1 took 10787ms
Step 2 took 5075ms
********** Factor found in step 2: 1236754814923701648847113846181233377
Found prime factor of 37 digits: 1236754814923701648847113846181233377
Prime cofactor 8646279675991732886585750478615556353304336889502399750267473526035955674608087698411533890439641880260623666521984655184316563083135748880122200269848548957473 has 160 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000 / 2078Dmitry DomanovDecember 23, 2022 22:19:11 UTC 2022 年 12 月 24 日 (土) 7 時 19 分 11 秒 (日本時間)

23×10228-83

c228

composite cofactor 合成数の残り
958333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:56:31 UTC 2023 年 1 月 1 日 (日) 8 時 56 分 31 秒 (日本時間)

23×10230-83

c229

composite cofactor 合成数の残り
1808176100628930817610062893081761006289308176100628930817610062893081761006289308176100628930817610062893081761006289308176100628930817610062893081761006289308176100628930817610062893081761006289308176100628930817610062893081761<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:56:38 UTC 2023 年 1 月 1 日 (日) 8 時 56 分 38 秒 (日本時間)

23×10231-83

c209

name 名前Dmitry Domanov
date 日付December 28, 2022 04:46:44 UTC 2022 年 12 月 28 日 (水) 13 時 46 分 44 秒 (日本時間)
composite number 合成数
12484341963834698497251897168491999202951890434736629806834817558279055906557261323775467223915958680593192204704036614988221711044056256944986936344758986614942684822938786654233332478990619528658316850268341<209>
prime factors 素因数
181879085618908825952115345574974781<36>
composite cofactor 合成数の残り
68640888100752469864826192269349713893589385395595502289860592481714100799328976752890468283972879674308783776636660231154210352214574644862772563086599027252079092119660761<173>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:523345349
Step 1 took 13356ms
Step 2 took 6379ms
********** Factor found in step 2: 181879085618908825952115345574974781
Found prime factor of 36 digits: 181879085618908825952115345574974781
Composite cofactor 68640888100752469864826192269349713893589385395595502289860592481714100799328976752890468283972879674308783776636660231154210352214574644862772563086599027252079092119660761 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 20:12:29 UTC 2022 年 12 月 28 日 (水) 5 時 12 分 29 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:48:25 UTC 2023 年 1 月 18 日 (水) 5 時 48 分 25 秒 (日本時間)

23×10232-83

c199

composite cofactor 合成数の残り
5255184415921988837798486302176940710252503555998041301495435159032978350412192410100062246015855794648790600930422598520887738539042286751234214022075364553732783953437578967348670751493909846971781<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:19:20 UTC 2022 年 12 月 24 日 (土) 7 時 19 分 20 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:30:17 UTC 2023 年 1 月 19 日 (木) 6 時 30 分 17 秒 (日本時間)

23×10233-83

c225

composite cofactor 合成数の残り
233578060663855610359089009523331759472173898848290441077199912453155483244445994481995766930208445930653033130425331325055978444639864109857681407602586950060696213686881245674738572792763635663426578239488781518321756241899<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:56:46 UTC 2023 年 1 月 1 日 (日) 8 時 56 分 46 秒 (日本時間)

23×10234-83

c193

composite cofactor 合成数の残り
2407804527033091427301262748737061870539948693623409211277065411024775841710787762422815614676196804808140760461883925364951277620112006434478020919426189121237888219348367868304882576654017909<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:19:33 UTC 2022 年 12 月 24 日 (土) 7 時 19 分 33 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:30:04 UTC 2023 年 1 月 19 日 (木) 6 時 30 分 4 秒 (日本時間)

23×10236-83

c211

composite cofactor 合成数の残り
9112770182049579027769711429345151531798081786793588562547790551826676026831575702928200461923017450055174073584517789636395263520505040316557807512954778234340202054930422991288435190916634503255804918855278399<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:04:32 UTC 2022 年 12 月 29 日 (木) 18 時 4 分 32 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:53:19 UTC 2023 年 1 月 21 日 (土) 16 時 53 分 19 秒 (日本時間)

23×10237-83

c233

composite cofactor 合成数の残り
64192734498850112755933641458458927813874561814812333936186839931230044432536227030165003237546609507223078125348873557058968004108335007926407216379753053341371380087971956147989371915957755598722843682318529930560207202983008462277<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:42:33 UTC 2023 年 1 月 13 日 (金) 16 時 42 分 33 秒 (日本時間)

23×10238-83

c212

composite cofactor 合成数の残り
88230385498257519882159889176058077463408848250026344955408114828288779388810801658689689449258427264852757250308513401534176666451911594517971416581221998945283812220100010706856563804221098762821335742740251737<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:04:39 UTC 2022 年 12 月 29 日 (木) 18 時 4 分 39 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:53:38 UTC 2023 年 1 月 21 日 (土) 16 時 53 分 38 秒 (日本時間)

23×10241-83

c189

composite cofactor 合成数の残り
180083340310942482892123015565941351166081582656449096797578889503115117370563252049927732578424814750701555723867945410782003693299069869665507493512027100506905193048458350403595720744319<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:20:25 UTC 2022 年 12 月 24 日 (土) 7 時 20 分 25 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:29:16 UTC 2023 年 1 月 19 日 (木) 6 時 29 分 16 秒 (日本時間)

23×10244-83

c218

composite cofactor 合成数の残り
13630128279417084036118219696344422901269727163142555608175564131381424336098224815608122727465717162619689102312756222702951547834101303823945759524151439384109660217146685715304314434256445026256741934278117293103789<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:04:46 UTC 2022 年 12 月 29 日 (木) 18 時 4 分 46 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:53:46 UTC 2023 年 1 月 21 日 (土) 16 時 53 分 46 秒 (日本時間)

23×10245-83

c223

composite cofactor 合成数の残り
4492150670648151503492456103158235629405343201300542364027407156726579503040727131597348363129638996647512957853811849235796038169282021280146123032439957908231068607650978379606941338807527372434555614570952848702043600441<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:56:53 UTC 2023 年 1 月 1 日 (日) 8 時 56 分 53 秒 (日本時間)

23×10246-83

c214

composite cofactor 合成数の残り
2041737568699665730470406779458793827849932664641956310992565247448978466514508481912625214543827433159643735054489529206688226692188950084636431683726679954253117407091856191422624975369595210078287464796905680997<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:04:54 UTC 2022 年 12 月 29 日 (木) 18 時 4 分 54 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:53:53 UTC 2023 年 1 月 21 日 (土) 16 時 53 分 53 秒 (日本時間)

23×10251-83

c237

composite cofactor 合成数の残り
732906350766137991374223296911743874631527319777161776770363128921668084151930045866915317254590710879151472020040326241185016508931986371967243001578666822352120698389796524758394982536755065958305378823384699671833726320296949362265551<237>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:42:41 UTC 2023 年 1 月 13 日 (金) 16 時 42 分 41 秒 (日本時間)

23×10253-83

c216

name 名前Dmitry Domanov
date 日付December 29, 2022 20:40:50 UTC 2022 年 12 月 30 日 (金) 5 時 40 分 50 秒 (日本時間)
composite number 合成数
247414396995403411523300071859929899244743647474092958418738053900743649825255900991507736971133676013792725604467322133175739220999151697785216145683323845773747563120436243723298185419429380739072630808869326052663<216>
prime factors 素因数
20072463371355245481441515316915971657719<41>
composite cofactor 合成数の残り
12326060454965402374912056536082456501456087439119195605259653086159382598509374885806969605340814609860140504856036877516884808852720465167811417500595668200242076563571395777<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1110807423
Step 1 took 12452ms
Step 2 took 5356ms
********** Factor found in step 2: 20072463371355245481441515316915971657719
Found prime factor of 41 digits: 20072463371355245481441515316915971657719
Composite cofactor 12326060454965402374912056536082456501456087439119195605259653086159382598509374885806969605340814609860140504856036877516884808852720465167811417500595668200242076563571395777 has 176 digits

c176

name 名前Dmitry Domanov
date 日付January 18, 2023 13:49:38 UTC 2023 年 1 月 18 日 (水) 22 時 49 分 38 秒 (日本時間)
composite number 合成数
12326060454965402374912056536082456501456087439119195605259653086159382598509374885806969605340814609860140504856036877516884808852720465167811417500595668200242076563571395777<176>
prime factors 素因数
804257977211063624750226363414758918113<39>
composite cofactor 合成数の残り
15326003352442521753702688959791038192927714231661245333464343588787298914867006616768275839099416585118185022263493554251814421089378529<137>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1537618769
Step 1 took 23141ms
Step 2 took 8640ms
********** Factor found in step 2: 804257977211063624750226363414758918113
Found prime factor of 39 digits: 804257977211063624750226363414758918113
Composite cofactor 15326003352442521753702688959791038192927714231661245333464343588787298914867006616768275839099416585118185022263493554251814421089378529 has 137 digits

c137

name 名前Norman Powell
date 日付June 18, 2023 13:45:58 UTC 2023 年 6 月 18 日 (日) 22 時 45 分 58 秒 (日本時間)
composite number 合成数
15326003352442521753702688959791038192927714231661245333464343588787298914867006616768275839099416585118185022263493554251814421089378529<137>
prime factors 素因数
881967824201162775436401149860192580980126341017716866667<57>
17377054958126119972167106065875007449214364338147339243043391187746252865935587<80>
factorization results 素因数分解の結果
06/15/23 22:21:33, nfs: commencing nfs on c137: 15326003352442521753702688959791038192927714231661245333464343588787298914867006616768275839099416585118185022263493554251814421089378529
06/15/23 22:21:33, nfs: commencing poly selection with 4 threads
06/15/23 22:21:33, nfs: setting deadline of 35576 seconds
06/16/23 07:47:33, nfs: completed 20 ranges of size 250 in 33959.9925 seconds
06/16/23 07:47:33, nfs: best poly = # norm 5.139451e-013 alpha -6.808064 e 3.788e-011 rroots 5
06/16/23 07:47:33, nfs: commencing lattice sieving with 4 threads
06/18/23 00:58:26, nfs: commencing msieve filtering
06/18/23 01:03:29, nfs: commencing msieve linear algebra
06/18/23 03:11:42, nfs: commencing msieve sqrt
06/18/23 03:29:14, prp80 = 17377054958126119972167106065875007449214364338147339243043391187746252865935587
06/18/23 03:29:14, prp57 = 881967824201162775436401149860192580980126341017716866667
06/18/23 03:29:15, NFS elapsed time = 191261.3615 seconds.
software ソフトウェア
YAFU V1.35.
execution environment 実行環境
Windows 7 Pro, Intel i5-3570,

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:05:01 UTC 2022 年 12 月 29 日 (木) 18 時 5 分 1 秒 (日本時間)
4511e654801000Dmitry DomanovJanuary 17, 2023 20:48:36 UTC 2023 年 1 月 18 日 (水) 5 時 48 分 36 秒 (日本時間)
4480Ignacio SantosJanuary 20, 2023 08:59:11 UTC 2023 年 1 月 20 日 (金) 17 時 59 分 11 秒 (日本時間)
5043e66454Ignacio SantosApril 26, 2023 13:03:29 UTC 2023 年 4 月 26 日 (水) 22 時 3 分 29 秒 (日本時間)

23×10254-83

c236

composite cofactor 合成数の残り
14173931218807597542783561584475350822663842576594380332925078541044020444863038123192028624216781062063075943376179724896205854926397821449646671766513110654306371796076879485683605544561113066433374142935889660207599699401613009101841<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:42:49 UTC 2023 年 1 月 13 日 (金) 16 時 42 分 49 秒 (日本時間)

23×10255-83

c249

composite cofactor 合成数の残り
111210510743264134091947612461193817562077610392098088985660729495305814012006015966425334056066266455819274680793921585488215882849184660624009718754227208218143420401299356530182551956680276125447467578074517076577004691304185193854232534718084063<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:42:58 UTC 2023 年 1 月 13 日 (金) 16 時 42 分 58 秒 (日本時間)

23×10256-83

c225

composite cofactor 合成数の残り
365406791307674855297292547024049045673342396885797759361631127288960524977283013339810755606245325013422366318486458467228863363729915116598354558474307364860537208406352390195287994304300608230873982413661560989506035284493<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:57:03 UTC 2023 年 1 月 1 日 (日) 8 時 57 分 3 秒 (日本時間)

23×10257-83

c210

composite cofactor 合成数の残り
702312833109036500720473486198942398040245420777000202064827951706849389910828213063224063902713438993085675880141927388662692134431011204549470436070612405878799144339817341939547860382504366232663702285162361<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 20:12:37 UTC 2022 年 12 月 28 日 (水) 5 時 12 分 37 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:54:00 UTC 2023 年 1 月 21 日 (土) 16 時 54 分 0 秒 (日本時間)

23×10258-83

c219

composite cofactor 合成数の残り
465436593808427044222252493049774637667593170017878194350417272571501091677159326054539683921188876850210094201959905715069600901443172557363243007441413542133861487678794509826172953634708983399749808445378694084074557<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:05:07 UTC 2022 年 12 月 29 日 (木) 18 時 5 分 7 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:54:07 UTC 2023 年 1 月 21 日 (土) 16 時 54 分 7 秒 (日本時間)

23×10259-83

c234

composite cofactor 合成数の残り
353567649834009272065434522711497433455392495616078387673801024387383469363400568351986998628949302952256434283880641371547768742856097832591680076470455031486825647056105953905035750995814878008120960705048779582040763387056467717091<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:08 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 8 秒 (日本時間)

23×10260-83

c245

composite cofactor 合成数の残り
70972594120919711546731107795203336434806296130263369574311107625081382878738998199370802227159793688076746104104699210751055040072001744138315564353853093511919390483266657044921245823050983594882955671723348688245395035413741529356273139684191<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:15 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 15 秒 (日本時間)

23×10261-83

c179

composite cofactor 合成数の残り
94601842192564980918890774689743029209093228810793670054430329227997195027067436501438379350042922758868635121528348668445671674935985223971322192975704674429436583722804800243637<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 22, 2022 10:05:07 UTC 2022 年 12 月 22 日 (木) 19 時 5 分 7 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 17, 2023 20:48:47 UTC 2023 年 1 月 18 日 (水) 5 時 48 分 47 秒 (日本時間)

23×10262-83

c195

composite cofactor 合成数の残り
503009046292216005045326001836534613040258705959071950175555322291028187281878537604441769166484786556391246105653824587329822684279208148619159674445935776292047706196165677616015107816323461639<195>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:20:33 UTC 2022 年 12 月 24 日 (土) 7 時 20 分 33 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:29:45 UTC 2023 年 1 月 19 日 (木) 6 時 29 分 45 秒 (日本時間)

23×10263-83

c247

composite cofactor 合成数の残り
2855084737616868289000846593977806631586088602059694164499209426331371608866188691793676421382925627002784145395568901871255831501941415321363414709137562709602581978576638790660757166363978421638988613910509502522469274887765687657382580957440649<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:23 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 23 秒 (日本時間)

23×10264-83

c207

composite cofactor 合成数の残り
435926181414211557459385796190444001696224811958076621179085271609062711307818856208298709757975800573938299450115651941196765421087452246439692055429814833044914807391183660122101845573312814370915707366351<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 20:12:45 UTC 2022 年 12 月 28 日 (水) 5 時 12 分 45 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:54:13 UTC 2023 年 1 月 21 日 (土) 16 時 54 分 13 秒 (日本時間)

23×10265-83

c224

composite cofactor 合成数の残り
65997010875686265781923131557904770921874038254674559592620433516401892274561973124557595123022829619929691604443742572528085762020409534266714057636133854503778756098493900200147198957993657307447925173556460546098485889071<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:57:11 UTC 2023 年 1 月 1 日 (日) 8 時 57 分 11 秒 (日本時間)

23×10267-83

c264

composite cofactor 合成数の残り
878399022303696914146043385273449434769324778490681332111212954476015887564925145126794989306446684998472349526428353192789489764741827069966391689581423770241368774824320195539260617170791322945310113046135044301863733577757409104796822487014970974641002138710663<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 08:56:43 UTC 2023 年 1 月 4 日 (水) 17 時 56 分 43 秒 (日本時間)

23×10269-83

c224

composite cofactor 合成数の残り
72203145309689439286087503752302121176319222221684742200049922383766458805646015689326731474880995348375362215601399860047334201846987867285919501053247099222414748690059582990932207318036195749675136139845194880901974240179<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:57:19 UTC 2023 年 1 月 1 日 (日) 8 時 57 分 19 秒 (日本時間)

23×10271-83

c214

composite cofactor 合成数の残り
4878626567010784759100878006127462265916018575104018469131691796731080309197965786743294082382200524086526473501068032443480391068053437204647658567856248319718483912222421941857525460359356546379323047756635300667<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 29, 2022 09:05:55 UTC 2022 年 12 月 29 日 (木) 18 時 5 分 55 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:54:21 UTC 2023 年 1 月 21 日 (土) 16 時 54 分 21 秒 (日本時間)

23×10272-83

c156

name 名前Ignacio Santos
date 日付December 21, 2022 12:33:55 UTC 2022 年 12 月 21 日 (水) 21 時 33 分 55 秒 (日本時間)
composite number 合成数
194756577803981136137326986817889094574448750408460555651407710514775929031033295726535381981317944371456638872170788659241512656526090154788178887248974997<156>
prime factors 素因数
8773277897341586826557816529284562912833<40>
composite cofactor 合成数の残り
22198838345585156994781169983409533312013347358724344405659682683478228133764303874449229890703155869943240654471509<116>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3640843625
Step 1 took 13438ms
********** Factor found in step 2: 8773277897341586826557816529284562912833
Found prime factor of 40 digits: 8773277897341586826557816529284562912833
Composite cofactor 22198838345585156994781169983409533312013347358724344405659682683478228133764303874449229890703155869943240654471509 has 116 digits
 
software ソフトウェア
GMP-ECM

c116

name 名前ebina
date 日付December 24, 2022 04:41:19 UTC 2022 年 12 月 24 日 (土) 13 時 41 分 19 秒 (日本時間)
composite number 合成数
22198838345585156994781169983409533312013347358724344405659682683478228133764303874449229890703155869943240654471509<116>
prime factors 素因数
1400790626734584667969432816949413503902100966400207643<55>
15847363568767861450142902779577876345611326282045022034730063<62>
factorization results 素因数分解の結果
Number: 76664_272
N = 22198838345585156994781169983409533312013347358724344405659682683478228133764303874449229890703155869943240654471509 (116 digits)
Divisors found:
r1=1400790626734584667969432816949413503902100966400207643 (pp55)
r2=15847363568767861450142902779577876345611326282045022034730063 (pp62)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 2.73 hours.
Factorization parameters were as follows:
n: 22198838345585156994781169983409533312013347358724344405659682683478228133764303874449229890703155869943240654471509
# norm 4.558643e-11 alpha -4.827875 e 4.591e-10 rroots 3
skew: 76331.06
c0: 909915306689973748063262405
c1: -82798044686397753945035
c2: -775406343164710586
c3: 59461774666376
c4: 161697516
c5: 444
Y0: -34656860510242024676856
Y1: 260027450873
type: gnfs
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9608841
Relations: 1054992 relations
Pruned matrix : 579411 x 579637
Polynomial selection time: 0.02 hours.
Total sieving time: 2.46 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.13 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: gnfs,115,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 2.73 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-post2008Server-6.2.9200
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 20, 2022 14:42:19 UTC 2022 年 12 月 20 日 (火) 23 時 42 分 19 秒 (日本時間)

23×10273-83

c165

composite cofactor 合成数の残り
262168858359038034467374420527005249786948253037090637456964468656277132976153520531470238650234519237849869305789481205118436769387932068495322412585483232296052699<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e62350Ignacio SantosDecember 20, 2022 14:50:05 UTC 2022 年 12 月 20 日 (火) 23 時 50 分 5 秒 (日本時間)
4511e64480Ignacio SantosDecember 21, 2022 13:33:36 UTC 2022 年 12 月 21 日 (水) 22 時 33 分 36 秒 (日本時間)

23×10274-83

c226

composite cofactor 合成数の残り
4153346360709435844287367145461491438696887423618218740207973245848818265559062372865133592856021156810864938950008071023264240584153758851832386983228539262027731472919225801168885585129722228389590922452918559890260110404799<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovDecember 31, 2022 23:57:27 UTC 2023 年 1 月 1 日 (日) 8 時 57 分 27 秒 (日本時間)

23×10276-83

c258

composite cofactor 合成数の残り
204331772544588573713775664827654725425503549504581782114296290236205165373510395570281568461152559937955784118212554528557536824475866191800112379419855362472490063331352729579261657353667463599560359374625518380352296048203101783377598146696372086835060993<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 08:56:50 UTC 2023 年 1 月 4 日 (水) 17 時 56 分 50 秒 (日本時間)

23×10278-83

c209

composite cofactor 合成数の残り
16940015844579491564912639272895098541990173494410262243634470159729574244418040219789693316786543720907099425899758692757941395137679089424482032972004111137485535088913777482135261502033463424421092052606087<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 27, 2022 20:12:52 UTC 2022 年 12 月 28 日 (水) 5 時 12 分 52 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 21, 2023 07:54:27 UTC 2023 年 1 月 21 日 (土) 16 時 54 分 27 秒 (日本時間)

23×10280-83

c226

name 名前Dmitry Domanov
date 日付January 1, 2023 01:25:03 UTC 2023 年 1 月 1 日 (日) 10 時 25 分 3 秒 (日本時間)
composite number 合成数
1845798310821735029414854247089601013200825053207563038499581451304228537703957437648946522103185025079398332434812291705535621361370682111572569925313717731592615089694762274460401526332285405137208804357852118747489070152361<226>
prime factors 素因数
465873415173759391788015140479498058117<39>
composite cofactor 合成数の残り
3962016828398111952918621812726461484614974173788318095694861011234459395514314354075151083933094584562750350314295997407627997235659003316119150810434504736231678087722765305848088728533<187>
factorization results 素因数分解の結果
Resuming ECM residue saved by @153969048de3 with GMP-ECM 7.0.5-dev on Sun Jan  1 00:28:11 2023 
Input number is 1845798310821735029414854247089601013200825053207563038499581451304228537703957437648946522103185025079398332434812291705535621361370682111572569925313717731592615089694762274460401526332285405137208804357852118747489070152361 (226 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:636369747
Step 1 took 0ms
Step 2 took 4563ms
********** Factor found in step 2: 465873415173759391788015140479498058117
Found prime factor of 39 digits: 465873415173759391788015140479498058117
Composite cofactor 3962016828398111952918621812726461484614974173788318095694861011234459395514314354075151083933094584562750350314295997407627997235659003316119150810434504736231678087722765305848088728533 has 187 digits

c187

name 名前Dmitry Domanov
date 日付April 16, 2024 11:09:04 UTC 2024 年 4 月 16 日 (火) 20 時 9 分 4 秒 (日本時間)
composite number 合成数
3962016828398111952918621812726461484614974173788318095694861011234459395514314354075151083933094584562750350314295997407627997235659003316119150810434504736231678087722765305848088728533<187>
prime factors 素因数
19126774161393809028858117332870473787442927014595947<53>
207145062464071635934076406348066574936095515916389944324513038779292646527887926075251650704453426928263085285604939277081621021307839<135>
factorization results 素因数分解の結果
Resuming ECM residue saved by @aafc1ac4932e with GMP-ECM 7.0.5-dev on Tue Apr 16 00:03:03 2024 
Input number is 3962016828398111952918621812726461484614974173788318095694861011234459395514314354075151083933094584562750350314295997407627997235659003316119150810434504736231678087722765305848088728533 (187 digits)
Using B1=43000000-43000000, B2=240490660426, polynomial Dickson(12), sigma=3:1847734202
Step 1 took 0ms
Step 2 took 25869ms
********** Factor found in step 2: 19126774161393809028858117332870473787442927014595947
Found prime factor of 53 digits: 19126774161393809028858117332870473787442927014595947
Prime cofactor 207145062464071635934076406348066574936095515916389944324513038779292646527887926075251650704453426928263085285604939277081621021307839 has 135 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e641421792Dmitry DomanovDecember 31, 2022 23:57:35 UTC 2023 年 1 月 1 日 (日) 8 時 57 分 35 秒 (日本時間)
2350Ignacio SantosJanuary 2, 2023 16:59:15 UTC 2023 年 1 月 3 日 (火) 1 時 59 分 15 秒 (日本時間)
4511e64480Ignacio SantosJanuary 5, 2023 06:27:56 UTC 2023 年 1 月 5 日 (木) 15 時 27 分 56 秒 (日本時間)
5043e61792 / 6385Dmitry DomanovApril 15, 2024 17:15:28 UTC 2024 年 4 月 16 日 (火) 2 時 15 分 28 秒 (日本時間)

23×10281-83

c249

composite cofactor 合成数の残り
947290178727478380533540838331897008026197395068272296015303948243424269477492721825964967148724545159254562433790915513442022692330564000332848941740038602130575069798635285751200759174643183420861785415752885848226672972884911154677488975783985037<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:31 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 31 秒 (日本時間)

23×10282-83

c256

name 名前Dmitry Domanov
date 日付January 4, 2023 23:00:20 UTC 2023 年 1 月 5 日 (木) 8 時 0 分 20 秒 (日本時間)
composite number 合成数
1093397423868712895136598717223856153439037395458533089644420967882709412339337331447701614647677994860395059408095148096279412472218880623107237120115986829968129064961701770917922520943315861485076073151337922192530813098341894877173466817801349812696133<256>
prime factors 素因数
331896603267245490643829959514820067<36>
3294391726535090694512936338951503359944152235015881808697068920763156614516059456510896003349364072770064650904714329997509830107551803216533483964913482955872328900121234335071506960007020602541866607026385136260828599<220>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 09:31:05 2023 
Input number is 1093397423868712895136598717223856153439037395458533089644420967882709412339337331447701614647677994860395059408095148096279412472218880623107237120115986829968129064961701770917922520943315861485076073151337922192530813098341894877173466817801349812696133 (256 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2973211580
Step 1 took 0ms
Step 2 took 3824ms
********** Factor found in step 2: 331896603267245490643829959514820067
Found prime factor of 36 digits: 331896603267245490643829959514820067
Prime cofactor 3294391726535090694512936338951503359944152235015881808697068920763156614516059456510896003349364072770064650904714329997509830107551803216533483964913482955872328900121234335071506960007020602541866607026385136260828599 has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 08:56:58 UTC 2023 年 1 月 4 日 (水) 17 時 56 分 58 秒 (日本時間)

23×10283-83

c278

composite cofactor 合成数の残り
76022603172588496920754038452893750809805990316703554155858235693868215147933375112711772529794249782509248314942474026712359556503965074555036398300266806283830058411801881129735547111537719110363665690933081599356914883771355740830351925156738775758441153216615500149400941887<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:03:24 UTC 2023 年 1 月 3 日 (火) 8 時 3 分 24 秒 (日本時間)

23×10284-83

c243

composite cofactor 合成数の残り
531125193737438405730501964755385206341945453299036072177985655746456795622620323195576261815778935951746217006780548926060407837584605479532596323605538247190699797678548209072479586182739649304216477596720211072842181686528357303568726388153<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:39 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 39 秒 (日本時間)

23×10285-83

c259

composite cofactor 合成数の残り
2521886051597884370706208879124040045780622039135112182430557421766045119796514236512101533435507288901844334518095236007709717347178345623955276894808859408687036222375153138600377316529776204308397840226261060701957865953629043388436802594792408282435096681<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 08:57:05 UTC 2023 年 1 月 4 日 (水) 17 時 57 分 5 秒 (日本時間)

23×10286-83

c238

composite cofactor 合成数の残り
8735621011452431011703500494124061101871461289976689426338575908420189697656111736599048905779100290986431726801538145227297520892457920018388725617905213744144483632758918615017430758955967674461385850519256936386391271903487205466775217<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:47 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 47 秒 (日本時間)

23×10287-83

c233

composite cofactor 合成数の残り
34351767381840493239797384093097946199143285020363283047960203788557772849762683060920097255171575932095532424829357402430947714789793854394223186532804663719587878615406807636850595784657272624771043741408879568280534804223084385291<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:43:56 UTC 2023 年 1 月 13 日 (金) 16 時 43 分 56 秒 (日本時間)

23×10288-83

c235

composite cofactor 合成数の残り
2412657873197822868839948980187981852078718672558791960921289676328897814862372235914315925502156695183019351565465776760047040177690715838830786475783515757019482020380214497742877567026266889958187997963268188357016246204456634323437<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:44:03 UTC 2023 年 1 月 13 日 (金) 16 時 44 分 3 秒 (日本時間)

23×10289-83

c264

name 名前Dmitry Domanov
date 日付January 4, 2023 23:00:37 UTC 2023 年 1 月 5 日 (木) 8 時 0 分 37 秒 (日本時間)
composite number 合成数
381160300163196226834766029833002873839221576423772194708446446010707755857490288024113772176161538805825835448732675850482199531095053058182444140130707365280313683998846818036208601846435261571716021135205285906462759766069008783347928524093351095535881820216277<264>
prime factors 素因数
32891090338857276852207134879680777<35>
composite cofactor 合成数の残り
11588557759451848565140217801080090105690441548511450052493281303767460630646039750361666673328863715742334651880028328513947552031110113058662720545636021254481212309643187582089003138711433401178453071314414092076377930870811501<230>
factorization results 素因数分解の結果
Resuming ECM residue saved by @c03b060a97eb with GMP-ECM 7.0.5-dev on Wed Jan  4 09:40:01 2023 
Input number is 381160300163196226834766029833002873839221576423772194708446446010707755857490288024113772176161538805825835448732675850482199531095053058182444140130707365280313683998846818036208601846435261571716021135205285906462759766069008783347928524093351095535881820216277 (264 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2418159236
Step 1 took 0ms
Step 2 took 3933ms
********** Factor found in step 2: 32891090338857276852207134879680777
Found prime factor of 35 digits: 32891090338857276852207134879680777
Composite cofactor 11588557759451848565140217801080090105690441548511450052493281303767460630646039750361666673328863715742334651880028328513947552031110113058662720545636021254481212309643187582089003138711433401178453071314414092076377930870811501 has 230 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 4, 2023 08:57:13 UTC 2023 年 1 月 4 日 (水) 17 時 57 分 13 秒 (日本時間)

23×10290-83

c194

composite cofactor 合成数の残り
24061330568671599332180810842123481807964757526125168088243733881348640629670532714360831614708545217431405182090750908224964324459385885486279932109402617817718911428737108701838998077950614069<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovDecember 23, 2022 22:20:43 UTC 2022 年 12 月 24 日 (土) 7 時 20 分 43 秒 (日本時間)
4511e61000 / 4213Dmitry DomanovJanuary 18, 2023 21:29:29 UTC 2023 年 1 月 19 日 (木) 6 時 29 分 29 秒 (日本時間)

23×10291-83

c246

composite cofactor 合成数の残り
532433429428729264423675299137971702815009796200536496405042811982843694675459127202470564805108898819748811209637563991344409162276984571572671741246677128732363593060552496154070173121614330413775445490041817840140858381623079326664944884402287<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:44:11 UTC 2023 年 1 月 13 日 (金) 16 時 44 分 11 秒 (日本時間)

23×10292-83

c240

composite cofactor 合成数の残り
212384578640357994275699796267543487333914699290191829577978730358402173169168584362408889523929432920718011024709363378136233348180020879022628505399348993185098073445505039170382165621594066959546315789901360974558222836339834722112291809<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 13, 2023 07:44:21 UTC 2023 年 1 月 13 日 (金) 16 時 44 分 21 秒 (日本時間)

23×10293-83

c285

composite cofactor 合成数の残り
337207113527504836573358268081088531210625461594754059434408713091205043704499126739722898629392188775612359585359858652442658367247777503394793030255262582938860534892279703657134065529260152661976114544604766468175299859021271002436323154577684326876443434842045930632583971981028139<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:03:32 UTC 2023 年 1 月 3 日 (火) 8 時 3 分 32 秒 (日本時間)

23×10294-83

c284

composite cofactor 合成数の残り
36809770346786179654946063170946850536466971319897549780658656807709957084890596770782572928096268804053731938458231588773869938936137920135352361261806315183608840350552822051617511527544309990203766396492041453767128350297187760697672483501997318771693109880574247803509767407795529<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:03:40 UTC 2023 年 1 月 3 日 (火) 8 時 3 分 40 秒 (日本時間)

23×10296-83

c296

composite cofactor 合成数の残り
95833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:03:47 UTC 2023 年 1 月 3 日 (火) 8 時 3 分 47 秒 (日本時間)

23×10299-83

c270

name 名前Dmitry Domanov
date 日付January 4, 2023 13:20:44 UTC 2023 年 1 月 4 日 (水) 22 時 20 分 44 秒 (日本時間)
composite number 合成数
920242446598176577745343201011492199113779793655054970201562779693526808284505185250096042707443158992720234540023809233312995935357306524825338454493823523353156915578428893513778217320182627063954532385452817002144212250065223777742423472071758445475669599114362057123<270>
prime factors 素因数
541661674634560868021483491521374993<36>
1698924789572808853688262665053798891891446809778542771014502640896228332866572795912884562936494001817428969831464916490088361424740119287702704932797401165192498318618522805415534663103963727946777802485214881518894769611708078295411<235>
factorization results 素因数分解の結果
Resuming ECM residue saved by @91621bc4ba15 with GMP-ECM 7.0.5-dev on Tue Jan  3 00:33:34 2023 
Input number is 920242446598176577745343201011492199113779793655054970201562779693526808284505185250096042707443158992720234540023809233312995935357306524825338454493823523353156915578428893513778217320182627063954532385452817002144212250065223777742423472071758445475669599114362057123 (270 digits)
Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3938013624
Step 1 took 0ms
Step 2 took 6994ms
********** Factor found in step 2: 541661674634560868021483491521374993
Found prime factor of 36 digits: 541661674634560868021483491521374993
Prime cofactor 1698924789572808853688262665053798891891446809778542771014502640896228332866572795912884562936494001817428969831464916490088361424740119287702704932797401165192498318618522805415534663103963727946777802485214881518894769611708078295411 has 235 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61000Eric JeancolasNovember 25, 2022 15:00:00 UTC 2022 年 11 月 26 日 (土) 0 時 0 分 0 秒 (日本時間)
403e61792 / 2078Dmitry DomanovJanuary 2, 2023 23:03:56 UTC 2023 年 1 月 3 日 (火) 8 時 3 分 56 秒 (日本時間)