Table of contents 目次

34×10109-619

c105

name 名前Robert Backstrom
date 日付November 30, 2008 13:37:44 UTC 2008 年 11 月 30 日 (日) 22 時 37 分 44 秒 (日本時間)
composite number 合成数
106279459337635150743346671405480206544751623340594721099254699662062577970831289798140922186868672660203<105>
prime factors 素因数
102274718124055259233175468223737<33>
1039156707415436687110020687405007603981945643618063760550394061953391619<73>
factorization results 素因数分解の結果
Number: n
N=106279459337635150743346671405480206544751623340594721099254699662062577970831289798140922186868672660203
  ( 105 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=102274718124055259233175468223737 (pp33)
 r2=1039156707415436687110020687405007603981945643618063760550394061953391619 (pp73)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.91 hours.
Scaled time: 1.65 units (timescale=1.817).
Factorization parameters were as follows:
name: KA_3_7_108_1
n: 106279459337635150743346671405480206544751623340594721099254699662062577970831289798140922186868672660203
type: snfs
skew: 1.78
deg: 5
c5: 17
c0: -305
m: 10000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:41538, AFBsize:41418, largePrimes:4212687 encountered
Relations: rels:3752838, finalFF:255574
Max relations in full relation-set: 48
Initial matrix: 83021 x 255574 with sparse part having weight 23447240.
Pruned matrix : 53378 x 53857 with weight 2927628.
Total sieving time: 0.84 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,500000,500000,28,28,56,56,2.5,2.5,50000
total time: 0.91 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
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10119-619

c87

name 名前Sinkiti Sibata
date 日付November 30, 2008 15:43:32 UTC 2008 年 12 月 1 日 (月) 0 時 43 分 32 秒 (日本時間)
composite number 合成数
315213395321449721601301773454983877531110347311256178703824935230238923212668707470499<87>
prime factors 素因数
792246144585103935358792782500741713<36>
397873056847156620893313883848623187566975367724723<51>
factorization results 素因数分解の結果
Sun Nov 30 18:04:40 2008  Msieve v. 1.38
Sun Nov 30 18:04:40 2008  random seeds: 93e01718 060378a8
Sun Nov 30 18:04:40 2008  factoring 315213395321449721601301773454983877531110347311256178703824935230238923212668707470499 (87 digits)
Sun Nov 30 18:04:43 2008  searching for 15-digit factors
Sun Nov 30 18:04:49 2008  commencing quadratic sieve (87-digit input)
Sun Nov 30 18:04:49 2008  using multiplier of 1
Sun Nov 30 18:04:49 2008  using 64kb Pentium 2 sieve core
Sun Nov 30 18:04:49 2008  sieve interval: 10 blocks of size 65536
Sun Nov 30 18:04:49 2008  processing polynomials in batches of 11
Sun Nov 30 18:04:49 2008  using a sieve bound of 1489661 (56508 primes)
Sun Nov 30 18:04:49 2008  using large prime bound of 119172880 (26 bits)
Sun Nov 30 18:04:49 2008  using double large prime bound of 344444540853840 (42-49 bits)
Sun Nov 30 18:04:49 2008  using trial factoring cutoff of 49 bits
Sun Nov 30 18:04:49 2008  polynomial 'A' values have 11 factors
Sun Nov 30 23:55:52 2008  56804 relations (15980 full + 40824 combined from 595193 partial), need 56604
Sun Nov 30 23:56:05 2008  begin with 611173 relations
Sun Nov 30 23:56:07 2008  reduce to 136055 relations in 11 passes
Sun Nov 30 23:56:07 2008  attempting to read 136055 relations
Sun Nov 30 23:56:18 2008  recovered 136055 relations
Sun Nov 30 23:56:18 2008  recovered 112570 polynomials
Sun Nov 30 23:56:18 2008  attempting to build 56804 cycles
Sun Nov 30 23:56:19 2008  found 56804 cycles in 6 passes
Sun Nov 30 23:56:22 2008  distribution of cycle lengths:
Sun Nov 30 23:56:22 2008     length 1 : 15980
Sun Nov 30 23:56:22 2008     length 2 : 11206
Sun Nov 30 23:56:22 2008     length 3 : 10018
Sun Nov 30 23:56:22 2008     length 4 : 7371
Sun Nov 30 23:56:22 2008     length 5 : 5154
Sun Nov 30 23:56:22 2008     length 6 : 3102
Sun Nov 30 23:56:22 2008     length 7 : 1843
Sun Nov 30 23:56:22 2008     length 9+: 2130
Sun Nov 30 23:56:22 2008  largest cycle: 18 relations
Sun Nov 30 23:56:23 2008  matrix is 56508 x 56804 (12.9 MB) with weight 3150716 (55.47/col)
Sun Nov 30 23:56:23 2008  sparse part has weight 3150716 (55.47/col)
Sun Nov 30 23:56:28 2008  filtering completed in 3 passes
Sun Nov 30 23:56:28 2008  matrix is 51954 x 52017 (11.9 MB) with weight 2910454 (55.95/col)
Sun Nov 30 23:56:28 2008  sparse part has weight 2910454 (55.95/col)
Sun Nov 30 23:56:30 2008  saving the first 48 matrix rows for later
Sun Nov 30 23:56:30 2008  matrix is 51906 x 52017 (7.2 MB) with weight 2240425 (43.07/col)
Sun Nov 30 23:56:30 2008  sparse part has weight 1578266 (30.34/col)
Sun Nov 30 23:56:30 2008  matrix includes 64 packed rows
Sun Nov 30 23:56:30 2008  using block size 5461 for processor cache size 128 kB
Sun Nov 30 23:56:32 2008  commencing Lanczos iteration
Sun Nov 30 23:56:32 2008  memory use: 7.4 MB
Sun Nov 30 23:58:53 2008  lanczos halted after 822 iterations (dim = 51905)
Sun Nov 30 23:58:54 2008  recovered 17 nontrivial dependencies
Sun Nov 30 23:58:55 2008  prp36 factor: 792246144585103935358792782500741713
Sun Nov 30 23:58:55 2008  prp51 factor: 397873056847156620893313883848623187566975367724723
Sun Nov 30 23:58:55 2008  elapsed time 05:54:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10122-619

c122

name 名前Sinkiti Sibata
date 日付November 30, 2008 15:12:34 UTC 2008 年 12 月 1 日 (月) 0 時 12 分 34 秒 (日本時間)
composite number 合成数
53968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253<122>
prime factors 素因数
815245101135505697874744698170121827541490300092074703<54>
66198808055497474948864240487892379026886542832166295547558599332851<68>
factorization results 素因数分解の結果
Number: 37771_122
N=53968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253
  ( 122 digits)
SNFS difficulty: 124 digits.
Divisors found:
 r1=815245101135505697874744698170121827541490300092074703 (pp54)
 r2=66198808055497474948864240487892379026886542832166295547558599332851 (pp68)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.14 hours.
Scaled time: 6.24 units (timescale=1.985).
Factorization parameters were as follows:
name: 37771_122
n: 53968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253
m: 2000000000000000000000000
deg: 5
c5: 425
c0: -244
skew: 0.89
type: snfs
lss: 1
rlim: 820000
alim: 820000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 820000/820000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [410000, 760001)
Primes: RFBsize:65416, AFBsize:65749, largePrimes:1414200 encountered
Relations: rels:1399246, finalFF:162662
Max relations in full relation-set: 28
Initial matrix: 131232 x 162662 with sparse part having weight 8216881.
Pruned matrix : 120160 x 120880 with weight 4687522.
Total sieving time: 3.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,124,5,0,0,0,0,0,0,0,0,820000,820000,25,25,46,46,2.2,2.2,50000
total time: 3.14 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10124-619

c115

name 名前Erik Branger
date 日付November 30, 2008 16:38:19 UTC 2008 年 12 月 1 日 (月) 1 時 38 分 19 秒 (日本時間)
composite number 合成数
8083532487162737666735497874469570726462998842225146757259227985958224006965198781856265773866351743424771753352323<115>
prime factors 素因数
183902059423947183572586572945500757182382783851<48>
43955638737725434720351420594271267744658778646152810611533781011273<68>
factorization results 素因数分解の結果
Number: 37771_124
N=8083532487162737666735497874469570726462998842225146757259227985958224006965198781856265773866351743424771753352323
  ( 115 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=183902059423947183572586572945500757182382783851
 r2=43955638737725434720351420594271267744658778646152810611533781011273
Version: 
Total time: 3.40 hours.
Scaled time: 2.68 units (timescale=0.789).
Factorization parameters were as follows:
n: 8083532487162737666735497874469570726462998842225146757259227985958224006965198781856265773866351743424771753352323
m: 10000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 890000
alim: 890000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 890000/890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [445000, 795001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 123139 x 123376
Total sieving time: 3.40 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,126,5,0,0,0,0,0,0,0,0,890000,890000,26,26,46,46,2.3,2.3,50000
total time: 3.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10125-619

c126

name 名前Sinkiti Sibata
date 日付November 30, 2008 22:41:19 UTC 2008 年 12 月 1 日 (月) 7 時 41 分 19 秒 (日本時間)
composite number 合成数
377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<126>
prime factors 素因数
19740494857472588967332701859237<32>
19137198966153239867624204437561859299473983704016534407164186992343276916354282103061304370383<95>
factorization results 素因数分解の結果
Number: 37771_125
N=377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 126 digits)
SNFS difficulty: 126 digits.
Divisors found:
 r1=19740494857472588967332701859237 (pp32)
 r2=19137198966153239867624204437561859299473983704016534407164186992343276916354282103061304370383 (pp95)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.62 hours.
Scaled time: 1.71 units (timescale=0.473).
Factorization parameters were as follows:
name: 37771_125
n: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 10000000000000000000000000
deg: 5
c5: 34
c0: -61
skew: 1.12
type: snfs
lss: 1
rlim: 900000
alim: 900000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 900000/900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [450000, 750001)
Primes: RFBsize:71274, AFBsize:71141, largePrimes:2435547 encountered
Relations: rels:2300446, finalFF:171358
Max relations in full relation-set: 28
Initial matrix: 142481 x 171358 with sparse part having weight 12544260.
Pruned matrix : 131947 x 132723 with weight 7646839.
Total sieving time: 3.26 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.23 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,126,5,0,0,0,0,0,0,0,0,900000,900000,26,26,46,46,2.3,2.3,50000
total time: 3.62 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 3.06GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10126-619

c114

name 名前Erik Branger
date 日付November 30, 2008 20:32:01 UTC 2008 年 12 月 1 日 (月) 5 時 32 分 1 秒 (日本時間)
composite number 合成数
199611386637541661542495056276037532975243649578791299977706603174046948493474101255739752477445195161194956077367<114>
prime factors 素因数
34432799348899478768254695087862221172954561711851166729<56>
5797129202738537298544666505195713087675830414976894319423<58>
factorization results 素因数分解の結果
Number: 37771_126
N=199611386637541661542495056276037532975243649578791299977706603174046948493474101255739752477445195161194956077367
  ( 114 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=34432799348899478768254695087862221172954561711851166729
 r2=5797129202738537298544666505195713087675830414976894319423
Version: 
Total time: 3.47 hours.
Scaled time: 2.72 units (timescale=0.783).
Factorization parameters were as follows:
n: 199611386637541661542495056276037532975243649578791299977706603174046948493474101255739752477445195161194956077367
m: 10000000000000000000000000
deg: 5
c5: 340
c0: -61
skew: 0.71
type: snfs
lss: 1
rlim: 930000
alim: 930000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 930000/930000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [465000, 815001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 135078 x 135315
Total sieving time: 3.47 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,127,5,0,0,0,0,0,0,0,0,930000,930000,26,26,46,46,2.3,2.3,50000
total time: 3.47 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10129-619

c119

name 名前Sinkiti Sibata
date 日付November 30, 2008 22:53:34 UTC 2008 年 12 月 1 日 (月) 7 時 53 分 34 秒 (日本時間)
composite number 合成数
87735654108922455050335760232311461340278754717995692475831705299846130899251205478083642362964049338345940869402070739<119>
prime factors 素因数
263963331926553076873883111669446861<36>
332378188548304164888481711164765467046216478192033437865048279353333268196436141599<84>
factorization results 素因数分解の結果
Number: 37771_129
N=87735654108922455050335760232311461340278754717995692475831705299846130899251205478083642362964049338345940869402070739
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=263963331926553076873883111669446861 (pp36)
 r2=332378188548304164888481711164765467046216478192033437865048279353333268196436141599 (pp84)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 4.21 hours.
Scaled time: 10.85 units (timescale=2.575).
Factorization parameters were as follows:
name: 37771_129
n: 87735654108922455050335760232311461340278754717995692475831705299846130899251205478083642362964049338345940869402070739
m: 100000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 990001)
Primes: RFBsize:84270, AFBsize:84409, largePrimes:2848172 encountered
Relations: rels:2753101, finalFF:215201
Max relations in full relation-set: 28
Initial matrix: 168744 x 215201 with sparse part having weight 17637208.
Pruned matrix : 155362 x 156269 with weight 10004219.
Total sieving time: 4.02 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 4.21 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10132-619

c115

name 名前Sinkiti Sibata
date 日付November 30, 2008 20:54:02 UTC 2008 年 12 月 1 日 (月) 5 時 54 分 2 秒 (日本時間)
composite number 合成数
2253910827094405329406702177022748716235771695323783467639242509859558351198186072436492569535265639281513231424111<115>
prime factors 素因数
1467803989071718082013470577567538313<37>
1535566631427295729877492951417765852836324576562696402832211952890951456321847<79>
factorization results 素因数分解の結果
Number: 37771_132
N=2253910827094405329406702177022748716235771695323783467639242509859558351198186072436492569535265639281513231424111
  ( 115 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1467803989071718082013470577567538313 (pp37)
 r2=1535566631427295729877492951417765852836324576562696402832211952890951456321847 (pp79)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 6.28 hours.
Scaled time: 15.99 units (timescale=2.544).
Factorization parameters were as follows:
name: 37771_132
n: 2253910827094405329406702177022748716235771695323783467639242509859558351198186072436492569535265639281513231424111
m: 200000000000000000000000000
deg: 5
c5: 425
c0: -244
skew: 0.89
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, 1275001)
Primes: RFBsize:92938, AFBsize:93360, largePrimes:3445412 encountered
Relations: rels:3691453, finalFF:487779
Max relations in full relation-set: 28
Initial matrix: 186365 x 487779 with sparse part having weight 48352330.
Pruned matrix : 135700 x 136695 with weight 13604336.
Total sieving time: 6.07 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1200000,1200000,26,26,47,47,2.3,2.3,75000
total time: 6.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10133-619

c83

name 名前Robert Backstrom
date 日付November 30, 2008 11:01:07 UTC 2008 年 11 月 30 日 (日) 20 時 1 分 7 秒 (日本時間)
composite number 合成数
58933296082998196336578171305363661582019073412603463167509046878466276668371777223<83>
prime factors 素因数
26799939804329649021518979639474619438057<41>
2199008524395165291774974383767263037749039<43>
factorization results 素因数分解の結果
Sun Nov 30 21:30:16 2008  
Sun Nov 30 21:30:16 2008  
Sun Nov 30 21:30:16 2008  Msieve v. 1.38
Sun Nov 30 21:30:16 2008  random seeds: e4438188 325b217a
Sun Nov 30 21:30:16 2008  factoring 58933296082998196336578171305363661582019073412603463167509046878466276668371777223 (83 digits)
Sun Nov 30 21:30:16 2008  searching for 15-digit factors
Sun Nov 30 21:30:17 2008  commencing quadratic sieve (83-digit input)
Sun Nov 30 21:30:17 2008  using multiplier of 23
Sun Nov 30 21:30:17 2008  using 64kb Opteron sieve core
Sun Nov 30 21:30:17 2008  sieve interval: 6 blocks of size 65536
Sun Nov 30 21:30:17 2008  processing polynomials in batches of 17
Sun Nov 30 21:30:17 2008  using a sieve bound of 1375981 (52647 primes)
Sun Nov 30 21:30:17 2008  using large prime bound of 122462309 (26 bits)
Sun Nov 30 21:30:17 2008  using trial factoring cutoff of 27 bits
Sun Nov 30 21:30:17 2008  polynomial 'A' values have 11 factors
Sun Nov 30 21:46:50 2008  52756 relations (27452 full + 25304 combined from 276041 partial), need 52743
Sun Nov 30 21:46:51 2008  begin with 303493 relations
Sun Nov 30 21:46:51 2008  reduce to 74861 relations in 2 passes
Sun Nov 30 21:46:51 2008  attempting to read 74861 relations
Sun Nov 30 21:46:51 2008  recovered 74861 relations
Sun Nov 30 21:46:51 2008  recovered 68059 polynomials
Sun Nov 30 21:46:51 2008  attempting to build 52756 cycles
Sun Nov 30 21:46:51 2008  found 52756 cycles in 1 passes
Sun Nov 30 21:46:51 2008  distribution of cycle lengths:
Sun Nov 30 21:46:51 2008     length 1 : 27452
Sun Nov 30 21:46:51 2008     length 2 : 25304
Sun Nov 30 21:46:51 2008  largest cycle: 2 relations
Sun Nov 30 21:46:51 2008  matrix is 52647 x 52756 (7.3 MB) with weight 1691578 (32.06/col)
Sun Nov 30 21:46:51 2008  sparse part has weight 1691578 (32.06/col)
Sun Nov 30 21:46:52 2008  filtering completed in 3 passes
Sun Nov 30 21:46:52 2008  matrix is 37816 x 37879 (5.7 MB) with weight 1347132 (35.56/col)
Sun Nov 30 21:46:52 2008  sparse part has weight 1347132 (35.56/col)
Sun Nov 30 21:46:52 2008  saving the first 48 matrix rows for later
Sun Nov 30 21:46:52 2008  matrix is 37768 x 37879 (3.6 MB) with weight 1000452 (26.41/col)
Sun Nov 30 21:46:52 2008  sparse part has weight 712309 (18.80/col)
Sun Nov 30 21:46:52 2008  matrix includes 64 packed rows
Sun Nov 30 21:46:52 2008  using block size 15151 for processor cache size 1024 kB
Sun Nov 30 21:46:53 2008  commencing Lanczos iteration
Sun Nov 30 21:46:53 2008  memory use: 4.2 MB
Sun Nov 30 21:46:58 2008  lanczos halted after 599 iterations (dim = 37768)
Sun Nov 30 21:46:58 2008  recovered 18 nontrivial dependencies
Sun Nov 30 21:46:58 2008  prp41 factor: 26799939804329649021518979639474619438057
Sun Nov 30 21:46:58 2008  prp43 factor: 2199008524395165291774974383767263037749039
Sun Nov 30 21:46:58 2008  elapsed time 00:16:42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10136-619

c111

name 名前Sinkiti Sibata
date 日付December 1, 2008 08:31:36 UTC 2008 年 12 月 1 日 (月) 17 時 31 分 36 秒 (日本時間)
composite number 合成数
143019527990245493495110490408170713644089509066703498854071034514709908212689381811169162212305619831252868817<111>
prime factors 素因数
12216635234419646814532430479735488014714813815991<50>
11706949192302675700783525796475048637254599157547420427413687<62>
factorization results 素因数分解の結果
Number: 37771_136
N=143019527990245493495110490408170713644089509066703498854071034514709908212689381811169162212305619831252868817
  ( 111 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=12216635234419646814532430479735488014714813815991 (pp50)
 r2=11706949192302675700783525796475048637254599157547420427413687 (pp62)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 9.39 hours.
Scaled time: 4.44 units (timescale=0.473).
Factorization parameters were as follows:
name: 37771_136
n: 143019527990245493495110490408170713644089509066703498854071034514709908212689381811169162212305619831252868817
m: 1000000000000000000000000000
deg: 5
c5: 340
c0: -61
skew: 0.71
type: snfs
lss: 1
rlim: 1370000
alim: 1370000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1370000/1370000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [685000, 1435001)
Primes: RFBsize:104967, AFBsize:104789, largePrimes:3267455 encountered
Relations: rels:3187437, finalFF:238347
Max relations in full relation-set: 28
Initial matrix: 209823 x 238347 with sparse part having weight 20087998.
Pruned matrix : 201317 x 202430 with weight 14747372.
Total sieving time: 8.33 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.85 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1370000,1370000,26,26,48,48,2.3,2.3,75000
total time: 9.39 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10140-619

c109

name 名前Robert Backstrom
date 日付November 30, 2008 22:37:00 UTC 2008 年 12 月 1 日 (月) 7 時 37 分 0 秒 (日本時間)
composite number 合成数
9969378630878273330209454988851072949503239070360101125655163488996390662293101007126290937779576661544321551<109>
prime factors 素因数
19307640926740728658468249492603981<35>
516343693603233874370126179965698886505664770083775458430131775655309376971<75>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 9969378630878273330209454988851072949503239070360101125655163488996390662293101007126290937779576661544321551 (109 digits)
Using B1=1040000, B2=1045563762, polynomial Dickson(6), sigma=3595781433
Step 1 took 8125ms
Step 2 took 4390ms
********** Factor found in step 2: 19307640926740728658468249492603981
Found probable prime factor of 35 digits: 19307640926740728658468249492603981
Probable prime cofactor 516343693603233874370126179965698886505664770083775458430131775655309376971 has 75 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10143-619

c128

name 名前Sinkiti Sibata
date 日付December 1, 2008 03:54:43 UTC 2008 年 12 月 1 日 (月) 12 時 54 分 43 秒 (日本時間)
composite number 合成数
27797578173419426475214525843686671620570526121700523721521450635809718455545362591787531239138156070259435426642397723691763541<128>
prime factors 素因数
28217205843890219947899894994855070009<38>
985128659698187157995681645130669968509955434063183873242657897532139829137743789608925949<90>
factorization results 素因数分解の結果
Number: 37771_143
N=27797578173419426475214525843686671620570526121700523721521450635809718455545362591787531239138156070259435426642397723691763541
  ( 128 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=28217205843890219947899894994855070009 (pp38)
 r2=985128659698187157995681645130669968509955434063183873242657897532139829137743789608925949 (pp90)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 17.77 hours.
Scaled time: 45.57 units (timescale=2.564).
Factorization parameters were as follows:
name: 37771_143
n: 27797578173419426475214525843686671620570526121700523721521450635809718455545362591787531239138156070259435426642397723691763541
m: 50000000000000000000000000000
deg: 5
c5: 272
c0: -1525
skew: 1.41
type: snfs
lss: 1
rlim: 1890000
alim: 1890000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1890000/1890000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [945000, 2645001)
Primes: RFBsize:141338, AFBsize:141460, largePrimes:4295234 encountered
Relations: rels:4538118, finalFF:359878
Max relations in full relation-set: 28
Initial matrix: 282865 x 359878 with sparse part having weight 41888561.
Pruned matrix : 258253 x 259731 with weight 28460136.
Total sieving time: 17.03 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1890000,1890000,26,26,49,49,2.3,2.3,100000
total time: 17.77 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10144-619

c113

name 名前Jo Yeong Uk
date 日付December 1, 2008 09:45:22 UTC 2008 年 12 月 1 日 (月) 18 時 45 分 22 秒 (日本時間)
composite number 合成数
60134046112836863621509113837401397903316783755784689699386716316543124790819035195276732807581757561615471258919<113>
prime factors 素因数
21661518727678594480814735512079782966721573328871<50>
2776077101002108005261699224078097855558784029617067090671671489<64>
factorization results 素因数分解の結果
Number: 37771_144
N=60134046112836863621509113837401397903316783755784689699386716316543124790819035195276732807581757561615471258919
  ( 113 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=21661518727678594480814735512079782966721573328871 (pp50)
 r2=2776077101002108005261699224078097855558784029617067090671671489 (pp64)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 10.83 hours.
Scaled time: 25.86 units (timescale=2.387).
Factorization parameters were as follows:
n: 60134046112836863621509113837401397903316783755784689699386716316543124790819035195276732807581757561615471258919
m: 100000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [750000, 1575001)
Primes: RFBsize:114155, AFBsize:114578, largePrimes:3725607 encountered
Relations: rels:3841660, finalFF:345565
Max relations in full relation-set: 28
Initial matrix: 228798 x 345565 with sparse part having weight 37940559.
Pruned matrix : 201967 x 203174 with weight 19049916.
Total sieving time: 10.58 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,49,49,2.3,2.3,75000
total time: 10.83 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10147-619

c141

name 名前Serge Batalov
date 日付November 30, 2008 18:17:28 UTC 2008 年 12 月 1 日 (月) 3 時 17 分 28 秒 (日本時間)
composite number 合成数
113792247225089870523064505407837655894165472207855114302354441584343247057825307594584609551037809224533044895422531816119881364085366850157<141>
prime factors 素因数
229396003666241020967296200838396591<36>
496051567622998067919651156246881008431154204658997849229474790386382145887920573758035262566826859064227<105>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2648012166
Step 1 took 14589ms
Step 2 took 10677ms
********** Factor found in step 2: 229396003666241020967296200838396591
Found probable prime factor of 36 digits: 229396003666241020967296200838396591
Probable prime cofactor 496051567622998067919651156246881008431154204658997849229474790386382145887920573758035262566826859064227 has 105 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10149-619

c147

name 名前Sinkiti Sibata
date 日付December 2, 2008 13:13:30 UTC 2008 年 12 月 2 日 (火) 22 時 13 分 30 秒 (日本時間)
composite number 合成数
194430148110024589695202150168696746154286041059072453822839823869159947389489334934522788357065248470292217075541831074512494996282953050837765197<147>
prime factors 素因数
948232092733249950554056411032673040477<39>
205044893122722355563983803137691979462044995543930554941591189105064744137537173790203999128478533860189361<108>
factorization results 素因数分解の結果
Number: 37771_149
N=194430148110024589695202150168696746154286041059072453822839823869159947389489334934522788357065248470292217075541831074512494996282953050837765197
  ( 147 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=948232092733249950554056411032673040477 (pp39)
 r2=205044893122722355563983803137691979462044995543930554941591189105064744137537173790203999128478533860189361 (pp108)
Version: GGNFS-0.77.1-20060513-k8
Total time: 28.30 hours.
Scaled time: 54.82 units (timescale=1.937).
Factorization parameters were as follows:
name:  37771_149
n: 194430148110024589695202150168696746154286041059072453822839823869159947389489334934522788357065248470292217075541831074512494996282953050837765197
m: 1000000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1150000, 2050001)
Primes: RFBsize:169511, AFBsize:170222, largePrimes:7316415 encountered
Relations: rels:7619094, finalFF:707261
Max relations in full relation-set: 28
Initial matrix: 339798 x 707261 with sparse part having weight 82041141.
Pruned matrix : 254976 x 256738 with weight 33834665.
Total sieving time: 26.68 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 1.29 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2300000,2300000,27,27,49,49,2.4,2.4,100000
total time: 28.30 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10150-619

c90

name 名前Sinkiti Sibata
date 日付November 30, 2008 12:42:29 UTC 2008 年 11 月 30 日 (日) 21 時 42 分 29 秒 (日本時間)
composite number 合成数
409311878774859856196618058713465886648346234120836517657865266347085566045370911909848447<90>
prime factors 素因数
1973252236706869812819161804219996164666783<43>
207430084791366627386951998914230244772682187809<48>
factorization results 素因数分解の結果
Sun Nov 30 20:11:43 2008  Msieve v. 1.38
Sun Nov 30 20:11:43 2008  random seeds: d7427efc dffe20ca
Sun Nov 30 20:11:43 2008  factoring 409311878774859856196618058713465886648346234120836517657865266347085566045370911909848447 (90 digits)
Sun Nov 30 20:11:43 2008  searching for 15-digit factors
Sun Nov 30 20:11:45 2008  commencing quadratic sieve (90-digit input)
Sun Nov 30 20:11:45 2008  using multiplier of 7
Sun Nov 30 20:11:45 2008  using 32kb Intel Core sieve core
Sun Nov 30 20:11:45 2008  sieve interval: 36 blocks of size 32768
Sun Nov 30 20:11:45 2008  processing polynomials in batches of 6
Sun Nov 30 20:11:45 2008  using a sieve bound of 1573717 (60000 primes)
Sun Nov 30 20:11:45 2008  using large prime bound of 125897360 (26 bits)
Sun Nov 30 20:11:45 2008  using double large prime bound of 380215566683840 (42-49 bits)
Sun Nov 30 20:11:45 2008  using trial factoring cutoff of 49 bits
Sun Nov 30 20:11:45 2008  polynomial 'A' values have 12 factors
Sun Nov 30 21:34:45 2008  60440 relations (16042 full + 44398 combined from 633475 partial), need 60096
Sun Nov 30 21:34:45 2008  begin with 649517 relations
Sun Nov 30 21:34:46 2008  reduce to 147373 relations in 10 passes
Sun Nov 30 21:34:46 2008  attempting to read 147373 relations
Sun Nov 30 21:34:48 2008  recovered 147373 relations
Sun Nov 30 21:34:48 2008  recovered 127487 polynomials
Sun Nov 30 21:34:48 2008  attempting to build 60440 cycles
Sun Nov 30 21:34:48 2008  found 60439 cycles in 5 passes
Sun Nov 30 21:34:48 2008  distribution of cycle lengths:
Sun Nov 30 21:34:48 2008     length 1 : 16042
Sun Nov 30 21:34:48 2008     length 2 : 11565
Sun Nov 30 21:34:48 2008     length 3 : 10681
Sun Nov 30 21:34:48 2008     length 4 : 8203
Sun Nov 30 21:34:48 2008     length 5 : 5747
Sun Nov 30 21:34:48 2008     length 6 : 3601
Sun Nov 30 21:34:48 2008     length 7 : 2155
Sun Nov 30 21:34:48 2008     length 9+: 2445
Sun Nov 30 21:34:48 2008  largest cycle: 20 relations
Sun Nov 30 21:34:48 2008  matrix is 60000 x 60439 (14.8 MB) with weight 3629462 (60.05/col)
Sun Nov 30 21:34:48 2008  sparse part has weight 3629462 (60.05/col)
Sun Nov 30 21:34:49 2008  filtering completed in 3 passes
Sun Nov 30 21:34:49 2008  matrix is 56097 x 56161 (13.7 MB) with weight 3376905 (60.13/col)
Sun Nov 30 21:34:49 2008  sparse part has weight 3376905 (60.13/col)
Sun Nov 30 21:34:49 2008  saving the first 48 matrix rows for later
Sun Nov 30 21:34:49 2008  matrix is 56049 x 56161 (8.8 MB) with weight 2662129 (47.40/col)
Sun Nov 30 21:34:49 2008  sparse part has weight 1959855 (34.90/col)
Sun Nov 30 21:34:49 2008  matrix includes 64 packed rows
Sun Nov 30 21:34:49 2008  using block size 22464 for processor cache size 1024 kB
Sun Nov 30 21:34:50 2008  commencing Lanczos iteration
Sun Nov 30 21:34:50 2008  memory use: 8.5 MB
Sun Nov 30 21:35:10 2008  lanczos halted after 888 iterations (dim = 56047)
Sun Nov 30 21:35:10 2008  recovered 16 nontrivial dependencies
Sun Nov 30 21:35:10 2008  prp43 factor: 1973252236706869812819161804219996164666783
Sun Nov 30 21:35:10 2008  prp48 factor: 207430084791366627386951998914230244772682187809
Sun Nov 30 21:35:10 2008  elapsed time 01:23:27

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10151-619

c95

name 名前Serge Batalov
date 日付November 30, 2008 09:30:15 UTC 2008 年 11 月 30 日 (日) 18 時 30 分 15 秒 (日本時間)
composite number 合成数
10277864539223554890323018019089712214535194283529531657710903136533541835898875033935735804721<95>
prime factors 素因数
4219687194429644317151362254455770822763<40>
2435693468651238851330439053636574682409976561582029267<55>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2347407703
Step 1 took 8636ms
Step 2 took 404ms
********** Factor found in step 2: 4219687194429644317151362254455770822763
Found probable prime factor of 40 digits: 4219687194429644317151362254455770822763
Probable prime cofactor 2435693468651238851330439053636574682409976561582029267 has 55 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10152-619

c133

name 名前Sinkiti Sibata
date 日付December 3, 2008 22:48:20 UTC 2008 年 12 月 4 日 (木) 7 時 48 分 20 秒 (日本時間)
composite number 合成数
6664460097005762889501326931842972589120882959363472910276971278563908576252337593941653650382664001497951582800929546255771624389027<133>
prime factors 素因数
18140064527049332303648755303293357509352299892563197159<56>
367388996167468745630067954460328243858151569259818255011945437791324718164453<78>
factorization results 素因数分解の結果
Number: 37771_152
N=6664460097005762889501326931842972589120882959363472910276971278563908576252337593941653650382664001497951582800929546255771624389027
  ( 133 digits)
SNFS difficulty: 154 digits.
Divisors found:
 r1=18140064527049332303648755303293357509352299892563197159 (pp56)
 r2=367388996167468745630067954460328243858151569259818255011945437791324718164453 (pp78)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 48.81 hours.
Scaled time: 23.09 units (timescale=0.473).
Factorization parameters were as follows:
name: 37771_152
n: 6664460097005762889501326931842972589120882959363472910276971278563908576252337593941653650382664001497951582800929546255771624389027
m: 2000000000000000000000000000000
deg: 5
c5: 425
c0: -244
skew: 0.89
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2500001)
Primes: RFBsize:189880, AFBsize:190596, largePrimes:8108679 encountered
Relations: rels:8328593, finalFF:587648
Max relations in full relation-set: 28
Initial matrix: 380543 x 587648 with sparse part having weight 67736918.
Pruned matrix : 319755 x 321721 with weight 35454744.
Total sieving time: 44.15 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 4.12 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,154,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 48.81 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10154-619

c151

name 名前Serge Batalov
date 日付December 1, 2008 07:25:14 UTC 2008 年 12 月 1 日 (月) 16 時 25 分 14 秒 (日本時間)
composite number 合成数
5922210029436867499259723746320391562592534531709951054675933183536256118165508352057967985229311455992754001846336068000905749769207991499886781278849<151>
prime factors 素因数
183454113598076963373718986643971415060501020624289499571323<60>
32281696568612383429921930458932642651082130545296673862354073357067506441085413828479488563<92>
factorization results 素因数分解の結果
SNFS difficulty: 156 digits.
Divisors found:
 r1=183454113598076963373718986643971415060501020624289499571323 (pp60)
 r2=32281696568612383429921930458932642651082130545296673862354073357067506441085413828479488563 (pp92)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.316).
Factorization parameters were as follows:
n: 5922210029436867499259723746320391562592534531709951054675933183536256118165508352057967985229311455992754001846336068000905749769207991499886781278849
m: 10000000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1400000, 2500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 558486 x 558728
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,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,52,52,2.4,2.4,100000
total time: 20.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10156-619

c139

name 名前Sinkiti Sibata
date 日付December 1, 2008 20:46:31 UTC 2008 年 12 月 2 日 (火) 5 時 46 分 31 秒 (日本時間)
composite number 合成数
1154533331634366282678567732766953021488942489574034118414499319512603715875752034778388732687905581793683555211026274464001824176970722897<139>
prime factors 素因数
9966402979697060305647496423630143597597319309<46>
115842529545143837157184112972896281967285587268931776950834834580235894383922902897517477333<93>
factorization results 素因数分解の結果
Number: 37771_156
N=1154533331634366282678567732766953021488942489574034118414499319512603715875752034778388732687905581793683555211026274464001824176970722897
  ( 139 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=9966402979697060305647496423630143597597319309 (pp46)
 r2=115842529545143837157184112972896281967285587268931776950834834580235894383922902897517477333 (pp93)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 42.40 hours.
Scaled time: 108.71 units (timescale=2.564).
Factorization parameters were as follows:
name: 37771_156
n: 1154533331634366282678567732766953021488942489574034118414499319512603715875752034778388732687905581793683555211026274464001824176970722897
m: 10000000000000000000000000000000
deg: 5
c5: 340
c0: -61
skew: 0.71
type: snfs
lss: 1
rlim: 3000000
alim: 3000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216657, largePrimes:8653599 encountered
Relations: rels:9425471, finalFF:991033
Max relations in full relation-set: 28
Initial matrix: 433540 x 991033 with sparse part having weight 122448345.
Pruned matrix : 315934 x 318165 with weight 56320413.
Total sieving time: 40.85 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,50,50,2.4,2.4,100000
total time: 42.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10157-619

c138

name 名前Sinkiti Sibata
date 日付December 2, 2008 10:39:52 UTC 2008 年 12 月 2 日 (火) 19 時 39 分 52 秒 (日本時間)
composite number 合成数
347588895008747308866544061102726069403307881613424404847414945687730332029210319944189517278502930044633182335397963047561247567174343921<138>
prime factors 素因数
525635717350307831412930905071935105423234178396363<51>
661273356310180256351138419233820506936333700070566891354943514978567534279994118905267<87>
factorization results 素因数分解の結果
Number: 37771_157
N=347588895008747308866544061102726069403307881613424404847414945687730332029210319944189517278502930044633182335397963047561247567174343921
  ( 138 digits)
SNFS difficulty: 159 digits.
Divisors found:
 r1=525635717350307831412930905071935105423234178396363 (pp51)
 r2=661273356310180256351138419233820506936333700070566891354943514978567534279994118905267 (pp87)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 50.62 hours.
Scaled time: 129.79 units (timescale=2.564).
Factorization parameters were as follows:
name:37771_157
n: 347588895008747308866544061102726069403307881613424404847414945687730332029210319944189517278502930044633182335397963047561247567174343921
m: 20000000000000000000000000000000
deg: 5
c5: 425
c0: -244
skew: 0.89
type: snfs
lss: 1
rlim: 3100000
alim: 3100000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 3100000/3100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1550000, 3250001)
Primes: RFBsize:223492, AFBsize:224441, largePrimes:8630791 encountered
Relations: rels:9318143, finalFF:799748
Max relations in full relation-set: 28
Initial matrix: 448000 x 799748 with sparse part having weight 101059944.
Pruned matrix : 351450 x 353754 with weight 55059506.
Total sieving time: 48.73 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,159,5,0,0,0,0,0,0,0,0,3100000,3100000,27,27,50,50,2.4,2.4,100000
total time: 50.62 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10158-619

c127

name 名前Sinkiti Sibata
date 日付December 3, 2008 05:00:57 UTC 2008 年 12 月 3 日 (水) 14 時 0 分 57 秒 (日本時間)
composite number 合成数
5342415854931393339113761235361305698914154448906483996879306276590440389544165947946307257339371354072751784092656669051773117<127>
prime factors 素因数
15773686940889973900202381054990761<35>
338691637215285484915002611423828098986479112377345144665570421220398830743417389565760881397<93>
factorization results 素因数分解の結果
Number: 37771_158
N=5342415854931393339113761235361305698914154448906483996879306276590440389544165947946307257339371354072751784092656669051773117
  ( 127 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=15773686940889973900202381054990761 (pp35)
 r2=338691637215285484915002611423828098986479112377345144665570421220398830743417389565760881397 (pp93)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 60.61 hours.
Scaled time: 155.40 units (timescale=2.564).
Factorization parameters were as follows:
name: 37771_158
n: 5342415854931393339113761235361305698914154448906483996879306276590440389544165947946307257339371354072751784092656669051773117
m: 50000000000000000000000000000000
deg: 5
c5: 272
c0: -1525
skew: 1.41
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 3800001)
Primes: RFBsize:243539, AFBsize:243735, largePrimes:9779798 encountered
Relations: rels:10966987, finalFF:958393
Max relations in full relation-set: 28
Initial matrix: 487341 x 958393 with sparse part having weight 125995401.
Pruned matrix : 367954 x 370454 with weight 71973244.
Total sieving time: 58.31 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.94 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 60.61 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10159-619

c121

name 名前Jo Yeong Uk
date 日付December 5, 2008 23:42:41 UTC 2008 年 12 月 6 日 (土) 8 時 42 分 41 秒 (日本時間)
composite number 合成数
1917572826794880301937743521661713539970375827079494046314123580541938102384192570367828862969420055823648457470826513849<121>
prime factors 素因数
70223475270970631308833714247375703978882183<44>
27306720714056958176389348613507388851630448512655938025187958253361469703103<77>
factorization results 素因数分解の結果
Number: 37771_159
N=1917572826794880301937743521661713539970375827079494046314123580541938102384192570367828862969420055823648457470826513849
  ( 121 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=70223475270970631308833714247375703978882183 (pp44)
 r2=27306720714056958176389348613507388851630448512655938025187958253361469703103 (pp77)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 29.67 hours.
Scaled time: 70.50 units (timescale=2.376).
Factorization parameters were as follows:
n: 1917572826794880301937743521661713539970375827079494046314123580541938102384192570367828862969420055823648457470826513849
m: 100000000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3600001)
Primes: RFBsize:256726, AFBsize:257467, largePrimes:9103348 encountered
Relations: rels:9343195, finalFF:597134
Max relations in full relation-set: 28
Initial matrix: 514258 x 597134 with sparse part having weight 64218803.
Pruned matrix : 481231 x 483866 with weight 48798972.
Total sieving time: 27.66 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 29.67 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047068k/8912896k available (2460k kernel code, 339224k reserved, 1251k data, 196k init)
Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673803)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672384)
Calibrating delay using timer specific routine.. 5497.76 BogoMIPS (lpj=2748880)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672347)
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10161-619

c160

name 名前Serge Batalov
date 日付December 1, 2008 18:47:11 UTC 2008 年 12 月 2 日 (火) 3 時 47 分 11 秒 (日本時間)
composite number 合成数
5320813771517996870109546165884194053208137715179968701095461658841940532081377151799687010954616588419405320813771517996870109546165884194053208137715179968701<160>
prime factors 素因数
5248339198924568488090626332597551156263673436410591970891881<61>
1013809048890795600319731355237825745864782625364859636226664234782284012321457252955340518891623221<100>
factorization results 素因数分解の結果
SNFS difficulty: 162 digits.
Divisors found:
 r1=5248339198924568488090626332597551156263673436410591970891881 (pp61)
 r2=1013809048890795600319731355237825745864782625364859636226664234782284012321457252955340518891623221 (pp100)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.722).
Factorization parameters were as follows:
n: 5320813771517996870109546165884194053208137715179968701095461658841940532081377151799687010954616588419405320813771517996870109546165884194053208137715179968701
m: 100000000000000000000000000000000
deg: 5
c5: 340
c0: -61
skew: 0.71
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1800000, 3500001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 705065 x 705307
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,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,52,52,2.4,2.4,100000
total time: 24.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10162-619

c153

name 名前Serge Batalov
date 日付December 2, 2008 18:41:47 UTC 2008 年 12 月 3 日 (水) 3 時 41 分 47 秒 (日本時間)
composite number 合成数
337420625170770259299467660561244960872840414723192999695679851875816615851259950059949419759282795573495720737496191936943879016272865401591826039056723<153>
prime factors 素因数
508482292810519141237018117535724632563288268983<48>
69697565335453954183157841146626227272181807013267<50>
9520903958691570180369995997915148223742970595209791943<55>
factorization results 素因数分解の結果
SNFS difficulty: 164 digits.
Divisors found:
 r1=508482292810519141237018117535724632563288268983 (pp48)
 r2=69697565335453954183157841146626227272181807013267 (pp50)
 r3=9520903958691570180369995997915148223742970595209791943 (pp55)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.537).
Factorization parameters were as follows:
n: 337420625170770259299467660561244960872840414723192999695679851875816615851259950059949419759282795573495720737496191936943879016272865401591826039056723
m: 200000000000000000000000000000000
deg: 5
c5: 425
c0: -244
skew: 0.89
type: snfs
lss: 1
rlim: 3800000
alim: 3800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 3800000/3800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [1900000, 4000001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 768687 x 768929
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,164,5,0,0,0,0,0,0,0,0,3800000,3800000,27,27,52,52,2.4,2.4,100000
total time: 26.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10164-619

c127

name 名前Erik Branger
date 日付February 1, 2009 18:15:39 UTC 2009 年 2 月 2 日 (月) 3 時 15 分 39 秒 (日本時間)
composite number 合成数
3562076205650723332723478089195457228089971102211463041322115816197812550131136868037166251702503830534612839535087394847442519<127>
prime factors 素因数
10238952342665722552924471286551411529<38>
347894597654053818724629590777249720177493714919264286922036675658099324234379842682033311<90>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 3562076205650723332723478089195457228089971102211463041322115816197812550131136868037166251702503830534612839535087394847442519 (127 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3670331619
Step 1 took 40404ms
Step 2 took 13244ms
********** Factor found in step 2: 10238952342665722552924471286551411529
Found probable prime factor of 38 digits: 10238952342665722552924471286551411529
Probable prime cofactor 347894597654053818724629590777249720177493714919264286922036675658099324234379842682033311 has 90 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
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6825Jo Yeong UkJanuary 31, 2009 10:31:55 UTC 2009 年 1 月 31 日 (土) 19 時 31 分 55 秒 (日本時間)

34×10169-619

c170

name 名前Erik Branger
date 日付December 10, 2008 08:40:08 UTC 2008 年 12 月 10 日 (水) 17 時 40 分 8 秒 (日本時間)
composite number 合成数
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<170>
prime factors 素因数
11317942006879836402511210783641114135063226371491831011<56>
3337866350155691145550968735711381661348565396657188332750832547393613263199497115692457216756403748695193991635161<115>
factorization results 素因数分解の結果
Number: 37771_169
N=37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 170 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=11317942006879836402511210783641114135063226371491831011
 r2=3337866350155691145550968735711381661348565396657188332750832547393613263199497115692457216756403748695193991635161
Version: 
Total time: 107.44 hours.
Scaled time: 231.85 units (timescale=2.158).
Factorization parameters were as follows:
n: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 10000000000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 6000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 998386 x 998633
Total sieving time: 107.44 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,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 107.44 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e623361636Erik BrangerDecember 2, 2008 16:40:07 UTC 2008 年 12 月 3 日 (水) 1 時 40 分 7 秒 (日本時間)
700Erik BrangerDecember 4, 2008 06:37:45 UTC 2008 年 12 月 4 日 (木) 15 時 37 分 45 秒 (日本時間)

34×10170-619

c124

name 名前Jo Yeong Uk
date 日付July 24, 2009 17:50:36 UTC 2009 年 7 月 25 日 (土) 2 時 50 分 36 秒 (日本時間)
composite number 合成数
7908926676514675413083853032827063880118980193445471625562601469958414706043143581401715516956542424923236530406833110566233<124>
prime factors 素因数
6725886983982318771880439066030047436221<40>
13026818417600827639174618332243277437991<41>
90267127858585686761229484150679606606868203<44>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 7908926676514675413083853032827063880118980193445471625562601469958414706043143581401715516956542424923236530406833110566233 (124 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=7372562557
Step 1 took 4180ms
********** Factor found in step 1: 90267127858585686761229484150679606606868203
Found probable prime factor of 44 digits: 90267127858585686761229484150679606606868203
Composite cofactor 87616908437642552977838315920860564586991837524724010046764766223080042854872011 has 80 digits

07/25/09 02:40:39 v1.10 @ 조영욱-PC, starting SIQS on c80: 87616908437642552977838315920860564586991837524724010046764766223080042854872011
07/25/09 02:40:39 v1.10 @ 조영욱-PC, random seeds: 4212545165, 4213289736
07/25/09 02:40:39 v1.10 @ 조영욱-PC, ==== sieve params ====
07/25/09 02:40:39 v1.10 @ 조영욱-PC, n = 80 digits, 266 bits
07/25/09 02:40:39 v1.10 @ 조영욱-PC, factor base: 43638 primes (max prime = 1122259)
07/25/09 02:40:39 v1.10 @ 조영욱-PC, single large prime cutoff: 106614605 (95 * pmax)
07/25/09 02:40:39 v1.10 @ 조영욱-PC, using 13 large prime slices of factor base
07/25/09 02:40:39 v1.10 @ 조영욱-PC, buckets hold 1024 elements
07/25/09 02:40:39 v1.10 @ 조영욱-PC, sieve interval: 7 blocks of size 65536
07/25/09 02:40:39 v1.10 @ 조영욱-PC, polynomial A has ~ 10 factors
07/25/09 02:40:39 v1.10 @ 조영욱-PC, using multiplier of 1
07/25/09 02:40:39 v1.10 @ 조영욱-PC, using small prime variation correction of 18 bits
07/25/09 02:40:39 v1.10 @ 조영욱-PC, using SSE2 for trial division and x64 sieve scanning
07/25/09 02:40:39 v1.10 @ 조영욱-PC, trial factoring cutoff at 95 bits
07/25/09 02:40:39 v1.10 @ 조영욱-PC, ==== sieving started ====
07/25/09 02:48:32 v1.10 @ 조영욱-PC, sieve time = 244.3230, relation time = 65.8900, poly_time = 162.9600
07/25/09 02:48:32 v1.10 @ 조영욱-PC, 43837 relations found: 21442 full + 22395 from 239791 partial, using 121730 polys (238 A polys)
07/25/09 02:48:32 v1.10 @ 조영욱-PC, on average, sieving found 2.15 rels/poly and 551.53 rels/sec
07/25/09 02:48:32 v1.10 @ 조영욱-PC, trial division touched 3557500 sieve locations out of 111687761920
07/25/09 02:48:32 v1.10 @ 조영욱-PC, ==== post processing stage (msieve-1.38) ====
07/25/09 02:48:33 v1.10 @ 조영욱-PC, begin with 261233 relations
07/25/09 02:48:33 v1.10 @ 조영욱-PC, reduce to 63321 relations in 2 passes
07/25/09 02:48:33 v1.10 @ 조영욱-PC, recovered 63321 relations
07/25/09 02:48:33 v1.10 @ 조영욱-PC, recovered 49420 polynomials
07/25/09 02:48:33 v1.10 @ 조영욱-PC, attempting to build 43837 cycles
07/25/09 02:48:33 v1.10 @ 조영욱-PC, found 43837 cycles in 1 passes
07/25/09 02:48:33 v1.10 @ 조영욱-PC, distribution of cycle lengths:
07/25/09 02:48:33 v1.10 @ 조영욱-PC,    length 1 : 21442
07/25/09 02:48:33 v1.10 @ 조영욱-PC,    length 2 : 22395
07/25/09 02:48:33 v1.10 @ 조영욱-PC, largest cycle: 2 relations
07/25/09 02:48:33 v1.10 @ 조영욱-PC, matrix is 43638 x 43837 (6.5 MB) with weight 1357350 (30.96/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, sparse part has weight 1357350 (30.96/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, filtering completed in 3 passes
07/25/09 02:48:33 v1.10 @ 조영욱-PC, matrix is 32275 x 32339 (5.2 MB) with weight 1109999 (34.32/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, sparse part has weight 1109999 (34.32/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, saving the first 48 matrix rows for later
07/25/09 02:48:33 v1.10 @ 조영욱-PC, matrix is 32227 x 32339 (3.8 MB) with weight 864751 (26.74/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, sparse part has weight 669894 (20.71/col)
07/25/09 02:48:33 v1.10 @ 조영욱-PC, matrix includes 64 packed rows
07/25/09 02:48:33 v1.10 @ 조영욱-PC, using block size 12935 for processor cache size 4096 kB
07/25/09 02:48:33 v1.10 @ 조영욱-PC, commencing Lanczos iteration
07/25/09 02:48:33 v1.10 @ 조영욱-PC, memory use: 3.7 MB
07/25/09 02:48:37 v1.10 @ 조영욱-PC, lanczos halted after 511 iterations (dim = 32221)
07/25/09 02:48:37 v1.10 @ 조영욱-PC, recovered 14 nontrivial dependencies
07/25/09 02:48:37 v1.10 @ 조영욱-PC, prp41 = 13026818417600827639174618332243277437991
07/25/09 02:48:38 v1.10 @ 조영욱-PC, prp40 = 6725886983982318771880439066030047436221
07/25/09 02:48:38 v1.10 @ 조영욱-PC, Lanczos elapsed time = 4.1810 seconds.
07/25/09 02:48:38 v1.10 @ 조영욱-PC, Sqrt elapsed time = 1.0450 seconds.
07/25/09 02:48:38 v1.10 @ 조영욱-PC, SIQS elapsed time = 478.8780 seconds.
07/25/09 02:48:38 v1.10 @ 조영욱-PC, 
07/25/09 02:48:38 v1.10 @ 조영욱-PC, 
software ソフトウェア
GMP-ECM 6.2.3 / YAFU 1.10
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10172-619

c139

name 名前Wataru Sakai
date 日付July 1, 2010 12:32:07 UTC 2010 年 7 月 1 日 (木) 21 時 32 分 7 秒 (日本時間)
composite number 合成数
2089468473591308702017614870792195677556859191298818307170926555728385519735181452847487580436301557441355560663599031169755458747179573511<139>
prime factors 素因数
2016075471297263357433670182919782746514370053032286745307<58>
1036403896252365941394016089685566199270907669052478769232339425284055635821282373<82>
factorization results 素因数分解の結果
Number: 37771_172
N=2089468473591308702017614870792195677556859191298818307170926555728385519735181452847487580436301557441355560663599031169755458747179573511
  ( 139 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=2016075471297263357433670182919782746514370053032286745307
 r2=1036403896252365941394016089685566199270907669052478769232339425284055635821282373
Version: 
Total time: 129.25 hours.
Scaled time: 260.19 units (timescale=2.013).
Factorization parameters were as follows:
n: 2089468473591308702017614870792195677556859191298818307170926555728385519735181452847487580436301557441355560663599031169755458747179573511
m: 10000000000000000000000000000000000
deg: 5
c5: 3400
c0: -61
skew: 0.45
type: snfs
lss: 1
rlim: 5500000
alim: 5500000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2750000, 7050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1018417 x 1018665
Total sieving time: 129.25 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,173,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,52,52,2.4,2.4,100000
total time: 129.25 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
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6611500Erik BrangerAugust 27, 2009 05:43:33 UTC 2009 年 8 月 27 日 (木) 14 時 43 分 33 秒 (日本時間)
111Ignacio SantosJune 30, 2010 13:13:17 UTC 2010 年 6 月 30 日 (水) 22 時 13 分 17 秒 (日本時間)
4511e6500 / 4344Ignacio SantosJune 30, 2010 08:16:18 UTC 2010 年 6 月 30 日 (水) 17 時 16 分 18 秒 (日本時間)

34×10176-619

c159

name 名前Robert Backstrom
date 日付January 9, 2012 01:01:26 UTC 2012 年 1 月 9 日 (月) 10 時 1 分 26 秒 (日本時間)
composite number 合成数
112610141088172441962336005510226306898395364682908314499165753334274139330582631295607852933090984253004417896661828619127374878663307991086647992612779539667<159>
prime factors 素因数
499341947853186103373970690673211961639104761614762527051<57>
225517086181755120922521703773556643677946183702247255862428478874135274372662725387066213806217489817<102>
factorization results 素因数分解の結果
Number: n
N=112610141088172441962336005510226306898395364682908314499165753334274139330582631295607852933090984253004417896661828619127374878663307991086647992612779539667
  ( 159 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan  9 11:56:35 2012  prp57 factor: 499341947853186103373970690673211961639104761614762527051
Mon Jan  9 11:56:35 2012  prp102 factor: 225517086181755120922521703773556643677946183702247255862428478874135274372662725387066213806217489817
Mon Jan  9 11:56:35 2012  elapsed time 02:36:22 (Msieve 1.44 - dependency 2)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.651).
Factorization parameters were as follows:
name: KA_37771_176
n: 112610141088172441962336005510226306898395364682908314499165753334274139330582631295607852933090984253004417896661828619127374878663307991086647992612779539667
m: 100000000000000000000000000000000000
deg: 5
c5: 340
c0: -61
skew: 0.71
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17200000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7007945 hash collisions in 75000099 relations
Msieve: matrix is 1121990 x 1122234 (314.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 15, 2010 13:04:05 UTC 2010 年 10 月 15 日 (金) 22 時 4 分 5 秒 (日本時間)
403e61619300Rich DickersonOctober 15, 2010 15:08:22 UTC 2010 年 10 月 16 日 (土) 0 時 8 分 22 秒 (日本時間)
1319Wataru SakaiOctober 7, 2011 04:39:44 UTC 2011 年 10 月 7 日 (金) 13 時 39 分 44 秒 (日本時間)
4511e6200 / 4116Rich DickersonOctober 15, 2010 19:26:08 UTC 2010 年 10 月 16 日 (土) 4 時 26 分 8 秒 (日本時間)

34×10179-619

c156

name 名前Dmitry Domanov
date 日付June 17, 2013 08:32:45 UTC 2013 年 6 月 17 日 (月) 17 時 32 分 45 秒 (日本時間)
composite number 合成数
443096685537653921735254758203565946607262979867219276803488512972375752183497718218598622782155156883497803850090994354628151412816656504987234832285027187<156>
prime factors 素因数
8817178567145514939621453230301761796046416224549<49>
17235329462099804757442662543762131272020976937058889<53>
2915743227488385559638756086536214557859733485667495167<55>
factorization results 素因数分解の結果
N=443096685537653921735254758203565946607262979867219276803488512972375752183497718218598622782155156883497803850090994354628151412816656504987234832285027187
  ( 156 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=8817178567145514939621453230301761796046416224549 (pp49)
 r2=17235329462099804757442662543762131272020976937058889 (pp53)
 r3=2915743227488385559638756086536214557859733485667495167 (pp55)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 136.55 hours.
Scaled time: 262.44 units (timescale=1.922).
Factorization parameters were as follows:
n: 443096685537653921735254758203565946607262979867219276803488512972375752183497718218598622782155156883497803850090994354628151412816656504987234832285027187
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: -305
skew: 1.78
# Murphy_E = 7.849e-11
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 10850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1464779 x 1465013
Total sieving time: 133.76 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 2.27 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 136.55 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 15, 2010 13:05:25 UTC 2010 年 10 月 15 日 (金) 22 時 5 分 25 秒 (日本時間)
403e6300Rich DickersonOctober 15, 2010 15:08:29 UTC 2010 年 10 月 16 日 (土) 0 時 8 分 29 秒 (日本時間)
4511e6700 / 4408200Rich DickersonOctober 15, 2010 19:24:51 UTC 2010 年 10 月 16 日 (土) 4 時 24 分 51 秒 (日本時間)
500Rich DickersonJune 11, 2012 21:54:20 UTC 2012 年 6 月 12 日 (火) 6 時 54 分 20 秒 (日本時間)

34×10184-619

c181

name 名前Robert Backstrom
date 日付December 28, 2008 20:48:44 UTC 2008 年 12 月 29 日 (月) 5 時 48 分 44 秒 (日本時間)
composite number 合成数
2291923665460036266321529926456214146561777454212083830478540179444141101606368851409196006660060533748575973899034021584528167067753308122173013272934403796504142314977721153781337<181>
prime factors 素因数
23615038763529760781379918751679533732906278799<47>
97053563553730131755939148516339510463922823914532883145382285182480013642372594307251426540528959234992499729986560196434786562183063<134>
factorization results 素因数分解の結果
Number: n
N=2291923665460036266321529926456214146561777454212083830478540179444141101606368851409196006660060533748575973899034021584528167067753308122173013272934403796504142314977721153781337
  ( 181 digits)
SNFS difficulty: 186 digits.
Divisors found:

Mon Dec 29 07:37:41 2008  prp47 factor: 23615038763529760781379918751679533732906278799
Mon Dec 29 07:37:41 2008  prp134 factor: 97053563553730131755939148516339510463922823914532883145382285182480013642372594307251426540528959234992499729986560196434786562183063
Mon Dec 29 07:37:41 2008  elapsed time 32:08:32 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 79.46 hours.
Scaled time: 103.62 units (timescale=1.304).
Factorization parameters were as follows:
name: KA_3_7_183_1
n: 2291923665460036266321529926456214146561777454212083830478540179444141101606368851409196006660060533748575973899034021584528167067753308122173013272934403796504142314977721153781337
type: snfs
skew: 1.78
deg: 5
c5: 17
c0: -305
m: 10000000000000000000000000000000000000
rlim: 8500000
alim: 8500000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 7799990)
Primes: RFBsize:571119, AFBsize:572228, largePrimes:34514831 encountered
Relations: rels:29065709, finalFF:470198
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7201702 hash collisions in 38453133 relations
Msieve: matrix is 1922225 x 1922472 (523.8 MB)

Total sieving time: 77.83 hours.
Total relation processing time: 1.64 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8500000,8500000,29,29,58,58,2.5,2.5,100000
total time: 79.46 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
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10187-619

c169

name 名前Jason Parker-Burlingham
date 日付January 30, 2018 21:49:23 UTC 2018 年 1 月 31 日 (水) 6 時 49 分 23 秒 (日本時間)
composite number 合成数
2810201070493268789337774245915179921112798166069264780260565241757752371708148931558625196712265426867304985558402094896665655842518621934360889622294672207450327824287<169>
prime factors 素因数
97386481382680278816779064674442001691408659739676965811828871<62>
28856172135951609040754244075877246148282086951021343152653353354294995805473387125689136214309503422137897<107>
factorization results 素因数分解の結果
Run 19 out of 718:
Using MODMULN
Using B1=850000000, B2=15892628251516, polynomial Dickson(30), sigma=1602514529
dF=524288, k=5, d=5705700, d2=17, i0=132
Expected number of curves to find a factor of n digits:
35  40  45  50  55  60  65  70  75  80
15  47  168 661 2867  13623 69471 381778  2221086 1.4e+07
Step 1 took 3339252ms
Using 21 small primes for NTT
Estimated memory usage: 1997M
Initializing tables of differences for F took 3832ms
Computing roots of F took 59873ms
Building F from its roots took 37625ms
Computing 1/F took 15136ms
Initializing table of differences for G took 413ms
Computing roots of G took 51507ms
Building G from its roots took 40104ms
Computing roots of G took 51421ms
Building G from its roots took 40008ms
Computing G * H took 7712ms
Reducing  G * H mod F took 8040ms
Computing roots of G took 51183ms
Building G from its roots took 39949ms
Computing G * H took 7683ms
Reducing  G * H mod F took 8032ms
Computing roots of G took 51535ms
Building G from its roots took 40055ms
Computing G * H took 7684ms
Reducing  G * H mod F took 8011ms
Computing roots of G took 51518ms
Building G from its roots took 40044ms
Computing G * H took 7674ms
Reducing  G * H mod F took 8028ms
Computing polyeval(F,G) took 69938ms
Computing product of all F(g_i) took 258ms
Step 2 took 711266ms
********** Factor found in step 2: 97386481382680278816779064674442001691408659739676965811828871
Found probable prime factor of 62 digits: 97386481382680278816779064674442001691408659739676965811828871
Probable prime cofactor 28856172135951609040754244075877246148282086951021343152653353354294995805473387125689136214309503422137897 has 107 digits
software ソフトウェア
GMP-ECM 6.3
execution environment 実行環境
2.6GHz Intel Core i7

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 15, 2010 19:42:22 UTC 2010 年 10 月 16 日 (土) 4 時 42 分 22 秒 (日本時間)
403e61760260Rich DickersonOctober 15, 2010 21:19:42 UTC 2010 年 10 月 16 日 (土) 6 時 19 分 42 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:01:04 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 4 秒 (日本時間)
4511e64086100Rich DickersonOctober 15, 2010 23:18:25 UTC 2010 年 10 月 16 日 (土) 8 時 18 分 25 秒 (日本時間)
500Dmitry DomanovSeptember 24, 2013 12:01:04 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 4 秒 (日本時間)
3486Jason Parker-BurlinghamNovember 15, 2017 01:58:33 UTC 2017 年 11 月 15 日 (水) 10 時 58 分 33 秒 (日本時間)
5043e66576Jason Parker-BurlinghamJanuary 12, 2018 18:43:36 UTC 2018 年 1 月 13 日 (土) 3 時 43 分 36 秒 (日本時間)
5511e715168Jason Parker-BurlinghamJanuary 28, 2018 15:36:42 UTC 2018 年 1 月 29 日 (月) 0 時 36 分 42 秒 (日本時間)

34×10189-619

c104

name 名前Serge Batalov
date 日付December 1, 2008 01:44:29 UTC 2008 年 12 月 1 日 (月) 10 時 44 分 29 秒 (日本時間)
composite number 合成数
84420301542441572248655580080885734293394610747358405506554776579780343085112125886659786128138262772871<104>
prime factors 素因数
69966787580143993614754142851314738917569579<44>
1206576783959699309894410254281895913576361725987222092406549<61>
factorization results 素因数分解の結果
Number: 37771_189
N=84420301542441572248655580080885734293394610747358405506554776579780343085112125886659786128138262772871
  ( 104 digits)
Divisors found:
 r1=69966787580143993614754142851314738917569579 (pp44)
 r2=1206576783959699309894410254281895913576361725987222092406549 (pp61)
Version: Msieve-1.38
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.730).
Factorization parameters were as follows:
name: 37771_189
n: 84420301542441572248655580080885734293394610747358405506554776579780343085112125886659786128138262772871
skew: 9787.26
# norm 1.05e+14
c5: 46080
c4: -602871736
c3: -7091880767194
c2: 80954041951701947
c1: 389451520411831702630
c0: -1537021221256345910714200
# alpha -5.48
Y1: 105296616953
Y0: -71217802010343892173
# Murphy_E 2.16e-09
# M 70169906179187845525575282802550724568150340856160222103856566810958666723249156632950463472826442865883
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 algebraic special-q in [1150000, 1850001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 250586 x 250828
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:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 2.50 hours.
software ソフトウェア
pol51; Msieve-1.38 gnfs
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10191-619

c169

name 名前Dmitry Domanov
date 日付September 9, 2013 07:41:52 UTC 2013 年 9 月 9 日 (月) 16 時 41 分 52 秒 (日本時間)
composite number 合成数
9163589290759842104663158149734440705411862429120925672400711040102683451066249416296514350751368884633989159379218444114404673572643854974788291947850084773459454750919<169>
prime factors 素因数
1288189075390025589228279636700325250062519<43>
7113543707072176519437732278645856290574213517300502745599494019578893070575294121771649032451284640460067340577964953169983601<127>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3609294861
Step 1 took 19398ms
Step 2 took 8299ms
********** Factor found in step 2: 1288189075390025589228279636700325250062519
Found probable prime factor of 43 digits: 1288189075390025589228279636700325250062519

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 15, 2010 19:45:57 UTC 2010 年 10 月 16 日 (土) 4 時 45 分 57 秒 (日本時間)
403e6260 / 1964Rich DickersonOctober 15, 2010 21:20:06 UTC 2010 年 10 月 16 日 (土) 6 時 20 分 6 秒 (日本時間)
4511e6100 / 4417Rich DickersonOctober 15, 2010 23:18:16 UTC 2010 年 10 月 16 日 (土) 8 時 18 分 16 秒 (日本時間)

34×10192-619

c174

name 名前Serge Batalov
date 日付November 30, 2008 18:28:57 UTC 2008 年 12 月 1 日 (月) 3 時 28 分 57 秒 (日本時間)
composite number 合成数
148988332638690815060424583151041675931859588471391800589826455825100051703323596312290173636260906296580411713658981037504632798728116108978627175838279303552556873881425229<174>
prime factors 素因数
5639483166306901179798816719<28>
composite cofactor 合成数の残り
26418791978814970831542819583891294783385354615760421669709934150784142724787661482579399836080971964830225870407234821376836573766640098403040291<146>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4250593911
Step 1 took 25267ms
********** Factor found in step 1: 5639483166306901179798816719
Found probable prime factor of 28 digits: 5639483166306901179798816719
Composite cofactor 
software ソフトウェア
GMP-ECM 6.2.1

c146

name 名前Jason Parker-Burlingham
date 日付January 9, 2018 14:55:43 UTC 2018 年 1 月 9 日 (火) 23 時 55 分 43 秒 (日本時間)
composite number 合成数
26418791978814970831542819583891294783385354615760421669709934150784142724787661482579399836080971964830225870407234821376836573766640098403040291<146>
prime factors 素因数
4832689979138009029965774096220984291512512984991101<52>
5466684619303306439161913640353610846529046195803261571311817228088401627127258626984355740191<94>
factorization results 素因数分解の結果
Run 872 out of 1859:
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2131136560
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35  40  45  50  55  60  65  70  75  80
34  135 614 3135  17884 111314  752662  5482978 4.3e+07 3.6e+08
Step 1 took 446333ms
Using 19 small primes for NTT
Estimated memory usage: 434M
Initializing tables of differences for F took 298ms
Computing roots of F took 15445ms
Building F from its roots took 7271ms
Computing 1/F took 3355ms
Initializing table of differences for G took 247ms
Computing roots of G took 12886ms
Building G from its roots took 7868ms
Computing roots of G took 13095ms
Building G from its roots took 7788ms
Computing G * H took 1734ms
Reducing  G * H mod F took 1791ms
Computing roots of G took 12949ms
Building G from its roots took 7784ms
Computing G * H took 1718ms
Reducing  G * H mod F took 1794ms
Computing roots of G took 12995ms
Building G from its roots took 7817ms
Computing G * H took 1732ms
Reducing  G * H mod F took 1810ms
Computing polyeval(F,G) took 14056ms
Computing product of all F(g_i) took 66ms
Step 2 took 135369ms
********** Factor found in step 2: 4832689979138009029965774096220984291512512984991101
Found probable prime factor of 52 digits: 4832689979138009029965774096220984291512512984991101
Probable prime cofactor 5466684619303306439161913640353610846529046195803261571311817228088401627127258626984355740191 has 94 digits
software ソフトウェア
GMP-ECM 6.3 [configured with GMP 6.1.2] [ECM]
execution environment 実行環境
Quad-Core Intel Xeon E5 3.7 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 16, 2010 22:30:39 UTC 2010 年 10 月 17 日 (日) 7 時 30 分 39 秒 (日本時間)
403e61800300Rich DickersonOctober 17, 2010 00:23:30 UTC 2010 年 10 月 17 日 (日) 9 時 23 分 30 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:01:21 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 21 秒 (日本時間)
4511e64084500Rich DickersonOctober 17, 2010 13:32:43 UTC 2010 年 10 月 17 日 (日) 22 時 32 分 43 秒 (日本時間)
3584Jason Parker-BurlinghamDecember 28, 2017 20:36:27 UTC 2017 年 12 月 29 日 (金) 5 時 36 分 27 秒 (日本時間)
5043e67372Jason Parker-BurlinghamJanuary 3, 2018 04:18:32 UTC 2018 年 1 月 3 日 (水) 13 時 18 分 32 秒 (日本時間)

34×10193-619

c168

name 名前Rich Dickerson
date 日付October 18, 2010 00:23:13 UTC 2010 年 10 月 18 日 (月) 9 時 23 分 13 秒 (日本時間)
composite number 合成数
412000478825749661105685178919937655482950214300486613694840290575058730188889089890943039573402065886679215479139218673064130067023998592700753223870155913041088347927<168>
prime factors 素因数
64441899608603441838530940308827301<35>
6393363344781734699457243953120328046038805518157243183050049533559795705523737529952692535286543441922449798952192281291151947170827<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4085983029
Step 1 took 13022ms
Step 2 took 5526ms
********** Factor found in step 2: 64441899608603441838530940308827301
Found probable prime factor of 35 digits: 64441899608603441838530940308827301
Probable prime cofactor 6393363344781734699457243953120328046038805518157243183050049533559795705523737529952692535286543441922449798952192281291151947170827 has 133 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100 / 825Rich DickersonOctober 17, 2010 23:46:12 UTC 2010 年 10 月 18 日 (月) 8 時 46 分 12 秒 (日本時間)

34×10194-619

c186

name 名前matsui
date 日付February 24, 2011 22:27:16 UTC 2011 年 2 月 25 日 (金) 7 時 27 分 16 秒 (日本時間)
composite number 合成数
372309934670454919813926857628179349132531206099173290356336100661720868424621911018509702347018931101565581529426353986298483901505072580013323248985863901297658715408412813157525248913<186>
prime factors 素因数
6523866070105632948074158221551731914578299393957609038107<58>
1393962376130499692977651708509318837485073576997462442455245197<64>
40940065791235876713046196839525542012277128008593433479782312847<65>
factorization results 素因数分解の結果
N=372309934670454919813926857628179349132531206099173290356336100661720868424621911018509702347018931101565581529426353986298483901505072580013323248985863901297658715408412813157525248913
  ( 186 digits)
SNFS difficulty: 195 digits.
Divisors found:
 r1=6523866070105632948074158221551731914578299393957609038107 (pp58)
 r2=1393962376130499692977651708509318837485073576997462442455245197 (pp64)
 r3=40940065791235876713046196839525542012277128008593433479782312847 (pp65)
Version: Msieve v. 1.48
Total time:
Scaled time: 53.47 units (timescale=0.453).
Factorization parameters were as follows:
n: 372309934670454919813926857628179349132531206099173290356336100661720868424621911018509702347018931101565581529426353986298483901505072580013323248985863901297658715408412813157525248913
m: 200000000000000000000000000000000000000
deg: 5
c5: 10625
c0: -61
skew: 0.36
type: snfs
lss: 1
rlim: 12700000
alim: 12700000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 12700000/12700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [6350000, 15310001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2682418 x 2682643
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,195.000,5,0,0,0,0,0,0,0,0,12700000,12700000,28,28,55,55,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6100Rich DickersonOctober 17, 2010 23:46:43 UTC 2010 年 10 月 18 日 (月) 8 時 46 分 43 秒 (日本時間)
403e6300 / 2309Rich DickersonOctober 18, 2010 02:11:51 UTC 2010 年 10 月 18 日 (月) 11 時 11 分 51 秒 (日本時間)

34×10195-619

c181

name 名前Jason Parker-Burlingham
date 日付July 19, 2018 12:42:46 UTC 2018 年 7 月 19 日 (木) 21 時 42 分 46 秒 (日本時間)
composite number 合成数
1993060770152914581686081383600488896422076413721056615704700510808844338069725735159713486440631816673405110083481534016724634906763767221436490973903144665033137835507098676159843<181>
prime factors 素因数
998950797935586956530959640119884844029493760059298914522873092775576930349439<78>
1995154089942904804415609837347886952453892911634154078125457974843754381494323931708794668909163345437<103>
factorization results 素因数分解の結果
Info:Square Root: Factors: 998950797935586956530959640119884844029493760059298914522873092775576930349439 1995154089942904804415609837347886952453892911634154078125457974843754381494323931708794668909163345437
[...]
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 666666
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 672705/53.730/65.713/70.040/0.835
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 672705/53.700/59.083/66.550/1.118
Info:Polynomial Selection (size optimized): Total time: 9.15021e+06
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3632.54
Info:Polynomial Selection (root optimized): Rootsieve time: 3632.02
Info:Generate Factor Base: Total cpu/real time for makefb: 102.92/9.53246
Info:Generate Free Relations: Total cpu/real time for freerel: 4589.88/294.334
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 282804969
Info:Lattice Sieving: Average J: 15956 for 5018095 special-q, max bucket fill -bkmult 1.0,1s:1.126030
Info:Lattice Sieving: Total time: 4.30315e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1620.02/1177.24
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 1176.3999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 10134.4/5610.84
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 4753.500000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 11849.7/4940.08
Info:Filtering - Merging: Total cpu/real time for merge: 18125.8/15659.5
Info:Filtering - Merging: Total cpu/real time for replay: 968.39/800.289
Info:Linear Algebra: Total cpu/real time for bwc: 2.71309e+07/2.03259e+06
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 1251517.28, iteration CPU time 2.35, COMM 0.13, cpu-wait 0.11, comm-wait 0.0 (705000 iterations)
Info:Linear Algebra: Lingen CPU time 6676.14, WCT time 629.22
Info:Linear Algebra: Mksol: WCT time 780266.55, iteration CPU time 2, COMM 0.13, cpu-wait 0.09, comm-wait 0.0 (353000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 903.7/229.844
Info:Square Root: Total cpu/real time for sqrt: 41936.9/5979.24
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 9.30734e+07/3.14525e+06
software ソフトウェア
CADO-NFS (at git head)
execution environment 実行環境
6 machines with AMD Ryzen 7 1700X Eight-Core Processor and 64GB RAM running Debian 9.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 19, 2010 11:01:41 UTC 2010 年 10 月 19 日 (火) 20 時 1 分 41 秒 (日本時間)
403e61610110Ignacio SantosOctober 19, 2010 11:01:41 UTC 2010 年 10 月 19 日 (火) 20 時 1 分 41 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:01:33 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 33 秒 (日本時間)
4511e6410932Ignacio SantosOctober 19, 2010 11:01:41 UTC 2010 年 10 月 19 日 (火) 20 時 1 分 41 秒 (日本時間)
1000Dmitry DomanovSeptember 26, 2013 13:35:20 UTC 2013 年 9 月 26 日 (木) 22 時 35 分 20 秒 (日本時間)
3077Jason Parker-BurlinghamJanuary 23, 2018 01:54:44 UTC 2018 年 1 月 23 日 (火) 10 時 54 分 44 秒 (日本時間)

34×10196-619

c175

name 名前Jason Parker-Burlingham
date 日付July 21, 2018 16:35:29 UTC 2018 年 7 月 22 日 (日) 1 時 35 分 29 秒 (日本時間)
composite number 合成数
1251844474935331110188843336493893182011736619332264141336086034812144950479187819179265523025350603926192154721546751760196882540542051677217722465789544438005546298479143039<175>
prime factors 素因数
3376488556475171472694129092495768053211354826169302725364234849093625598691<76>
370753359295306816507450002142108700801512969589057988133658684093997460047008768784287390974991029<99>
factorization results 素因数分解の結果
$ cat 37771_196.poly
n: 1251844474935331110188843336493893182011736619332264141336086034812144950479187819179265523025350603926192154721546751760196882540542051677217722465789544438005546298479143039
skew: 0.71
c0: -61
c5: 340
Y0: -1000000000000000000000000000000000000000
Y1: 1
# f(x) = 340*x^5-61
# g(x) = x-1000000000000000000000000000000000000000

Info:Generate Factor Base: Total cpu/real time for makefb: 6.65/2.29608
Info:Generate Free Relations: Total cpu/real time for freerel: 100.12/15.1118
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 29134481
Info:Lattice Sieving: Average J: 7614.44 for 1349693 special-q, max bucket fill -bkmult 1.0,1s:1.657200
Info:Lattice Sieving: Total time: 989156s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 80.95/85.4974
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 85.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 517.81/247.867
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 220.8s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1011.44/363.473
Info:Filtering - Merging: Total cpu/real time for merge: 1526.64/1600.72
Info:Filtering - Merging: Total cpu/real time for replay: 120.86/138.497
Info:Linear Algebra: Total cpu/real time for bwc: 58092.1/10346.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 7293.01, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (61000 iterations)
Info:Linear Algebra: Lingen CPU time 241.13, WCT time 45.53
Info:Linear Algebra: Mksol: WCT time 2633.29, iteration CPU time 0.07, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (31000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 56.81/14.6405
Info:Square Root: Total cpu/real time for sqrt: 1157.92/174.442
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.47439e+06/87766.6
370753359295306816507450002142108700801512969589057988133658684093997460047008768784287390974991029 3376488556475171472694129092495768053211354826169302725364234849093625598691
software ソフトウェア
CADO-NFS
execution environment 実行環境
6 3.4GHz AMD Ryzen 7 1700X Eight-Core Processor machines with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 19, 2010 11:02:28 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 28 秒 (日本時間)
403e61610110Ignacio SantosOctober 19, 2010 11:02:28 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 28 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:01:42 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 42 秒 (日本時間)
4511e6410932Ignacio SantosOctober 19, 2010 11:02:28 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 28 秒 (日本時間)
1000Dmitry DomanovSeptember 26, 2013 13:35:38 UTC 2013 年 9 月 26 日 (木) 22 時 35 分 38 秒 (日本時間)
3077Jason Parker-BurlinghamJanuary 23, 2018 01:55:27 UTC 2018 年 1 月 23 日 (火) 10 時 55 分 27 秒 (日本時間)

34×10197-619

c193

name 名前Robert Backstrom
date 日付March 29, 2010 08:48:38 UTC 2010 年 3 月 29 日 (月) 17 時 48 分 38 秒 (日本時間)
composite number 合成数
2732036258942396622560351886270151780684985773322951595549352226167603996165506756566730387394706117270245794873896438147904407658379757861233450087706399312812526868371296584231490253460646223<193>
prime factors 素因数
56341487615567424172097382107614234772961319089652694968267<59>
48490666018330723952441203484768765874644553021449180019020693547864272813387549323666784847520561948843536134735727306666727123987469<134>
factorization results 素因数分解の結果
Number: n
N=2732036258942396622560351886270151780684985773322951595549352226167603996165506756566730387394706117270245794873896438147904407658379757861233450087706399312812526868371296584231490253460646223
  ( 193 digits)
SNFS difficulty: 198 digits.
Divisors found:

Mon Mar 29 19:40:07 2010  prp59 factor: 56341487615567424172097382107614234772961319089652694968267
Mon Mar 29 19:40:07 2010  prp134 factor: 48490666018330723952441203484768765874644553021449180019020693547864272813387549323666784847520561948843536134735727306666727123987469
Mon Mar 29 19:40:07 2010  elapsed time 05:27:18 (Msieve 1.42 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.072).
Factorization parameters were as follows:
name: KA_3_7_196_1
n: 2732036258942396622560351886270151780684985773322951595549352226167603996165506756566730387394706117270245794873896438147904407658379757861233450087706399312812526868371296584231490253460646223
m: 1000000000000000000000000000000000000000
deg: 5
c5: 3400
c0: -61
skew: 0.45
type: snfs
lss: 1
rlim: 14300000
alim: 14300000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 14300000/14300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 22150000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5520353 hash collisions in 33721295 relations
Msieve: matrix is 2016273 x 2016498 (568.6 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,198,5,0,0,0,0,0,0,0,0,14300000,14300000,28,28,56,56,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6060216k/7077888k available (3972k kernel code, 787972k absent, 229700k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.79 BogoMIPS (lpj=2798398)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797551)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44762.55 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6900Lionel DebrouxSeptember 24, 2009 04:05:34 UTC 2009 年 9 月 24 日 (木) 13 時 5 分 34 秒 (日本時間)

34×10198-619

c187

name 名前Serge Batalov
date 日付November 30, 2008 21:09:15 UTC 2008 年 12 月 1 日 (月) 6 時 9 分 15 秒 (日本時間)
composite number 合成数
1825920608026098665196506317425636673790662517487873329019606239100813285808967850861931686476735447703162529249387199215589181922075641290511459055698240773215348424005570686116389223743<187>
prime factors 素因数
38105528752723700919153806322731<32>
47917472025515084936253091068040645829165545942645244660993199310349576589419386240479483830592013034148549763083512771249504720351602315724197904591349053<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4028002106
Step 1 took 22017ms
Step 2 took 14649ms
********** Factor found in step 2: 38105528752723700919153806322731
Found probable prime factor of 32 digits: 38105528752723700919153806322731
Probable prime cofactor 47917472025515084936253091068040645829165545942645244660993199310349576589419386240479483830592013034148549763083512771249504720351602315724197904591349053 has 155 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10201-619

c176

name 名前Jason Parker-Burlingham
date 日付July 20, 2018 19:56:39 UTC 2018 年 7 月 21 日 (土) 4 時 56 分 39 秒 (日本時間)
composite number 合成数
18587211148707867618837995855542807453339648720920322276813468406993922164237861302500222030647603661104859803847097763766912210622633818349915487529057987726822454991065752331<176>
prime factors 素因数
102766224142477541703457251061810848351959708428034908807239474197531524619736787<81>
180868873054420246241309009747760205918656739716346238754220792988815493595667792262908245774313<96>
factorization results 素因数分解の結果
n: 18587211148707867618837995855542807453339648720920322276813468406993922164237861302500222030647603661104859803847097763766912210622633818349915487529057987726822454991065752331
skew: 0.71
c0: -61
c5: 340
Y0: -10000000000000000000000000000000000000000
Y1: 1
# f(x) = 340*x^5-61
# g(x) = x-10000000000000000000000000000000000000000


Info:Square Root: Total cpu/real time for sqrt: 2356.46/354.027
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: 6.04/0.91998
Info:Generate Free Relations: Total cpu/real time for freerel: 169.98/11.6803
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 42744819
Info:Lattice Sieving: Average J: 7594.83 for 1243983 special-q, max bucket fill -bkmult 1.0,1s:1.141630
Info:Lattice Sieving: Total time: 903829s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 87.44/59.6756
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 59.6s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 547.33/92.2087
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 83.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 455.65/103.881
Info:Filtering - Merging: Total cpu/real time for merge: 1694.71/1444.08
Info:Filtering - Merging: Total cpu/real time for replay: 107.4/86.4597
Info:Linear Algebra: Total cpu/real time for bwc: 323903/21845.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 13904.56, iteration CPU time 0.12, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (97000 iterations)
Info:Linear Algebra: Lingen CPU time 735.1, WCT time 71.7
Info:Linear Algebra: Mksol: WCT time 7541.16, iteration CPU time 0.13, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (49000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 106.05/26.5138
Info:Square Root: Total cpu/real time for sqrt: 2356.46/354.027
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.511e+06/83536
180868873054420246241309009747760205918656739716346238754220792988815493595667792262908245774313 102766224142477541703457251061810848351959708428034908807239474197531524619736787
software ソフトウェア
CADO-NFS at git head
execution environment 実行環境
6 8-core Ryzen 7 1700X with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 19, 2010 11:02:56 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 56 秒 (日本時間)
403e61610110Ignacio SantosOctober 19, 2010 11:02:56 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 56 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:01:57 UTC 2013 年 9 月 24 日 (火) 21 時 1 分 57 秒 (日本時間)
4511e6410932Ignacio SantosOctober 19, 2010 11:02:56 UTC 2010 年 10 月 19 日 (火) 20 時 2 分 56 秒 (日本時間)
1000Dmitry DomanovSeptember 26, 2013 13:36:00 UTC 2013 年 9 月 26 日 (木) 22 時 36 分 0 秒 (日本時間)
3077Jason Parker-BurlinghamJanuary 23, 2018 01:56:03 UTC 2018 年 1 月 23 日 (火) 10 時 56 分 3 秒 (日本時間)

34×10203-619

c168

name 名前Serge Batalov
date 日付November 30, 2008 18:25:06 UTC 2008 年 12 月 1 日 (月) 3 時 25 分 6 秒 (日本時間)
composite number 合成数
499600375107589186103507839939944653524669837968546017081692075234519217996346126268206081381711386098284925882704156413948927150815032476882288761651858604090838122497<168>
prime factors 素因数
194878783642531137396506518706737<33>
2563646825834120049987006706226367115513825431483244228135665471944472805150771543742942888716968688007800024055831525531246269818486481<136>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=802463135
Step 1 took 20061ms
Step 2 took 12845ms
********** Factor found in step 2: 194878783642531137396506518706737
Found probable prime factor of 33 digits: 194878783642531137396506518706737
Probable prime cofactor 2563646825834120049987006706226367115513825431483244228135665471944472805150771543742942888716968688007800024055831525531246269818486481 has 136 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)

34×10204-619

c190

name 名前Serge Batalov
date 日付November 30, 2008 21:22:39 UTC 2008 年 12 月 1 日 (月) 6 時 22 分 39 秒 (日本時間)
composite number 合成数
2755825427004095890243697518471478240623324477269711441770038200732881559943544583950706691640365318736841570583587697837537016885654812500061744987856080249638676341919792467713638881988619<190>
prime factors 素因数
1512768834429399909066535514857<31>
composite cofactor 合成数の残り
1821709546286074516473557552513973715632831422256577038778502292556731957589880120180743562987930254113335165727299848149500511188794201681110980467838132947667<160>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2899500130
Step 1 took 23289ms
Step 2 took 14553ms
********** Factor found in step 2: 1512768834429399909066535514857
Found probable prime factor of 31 digits: 1512768834429399909066535514857
Composite cofactor 1821709546286074516473557552513973715632831422256577038778502292556731957589880120180743562987930254113335165727299848149500511188794201681110980467838132947667 has 160 digits
software ソフトウェア
GMP-ECM 6.2.1

c160

name 名前Jason Parker-Burlingham
date 日付July 22, 2018 18:05:22 UTC 2018 年 7 月 23 日 (月) 3 時 5 分 22 秒 (日本時間)
composite number 合成数
1821709546286074516473557552513973715632831422256577038778502292556731957589880120180743562987930254113335165727299848149500511188794201681110980467838132947667<160>
prime factors 素因数
67273801056051922155398478488072055205280186726250971673826098461289383<71>
27079034002675760962461260733771669022297115400788153046438172140895590614594449327791349<89>
factorization results 素因数分解の結果
$ cat 37771_204.cado
n: 1821709546286074516473557552513973715632831422256577038778502292556731957589880120180743562987930254113335165727299848149500511188794201681110980467838132947667
c5: 17
c4: 0
c3: 0
c2: 0
c1: 0
c0: -305
Y1: 1
Y0: -100000000000000000000000000000000000000000
skew: 1.78

Info:Generate Factor Base: Total cpu/real time for makefb: 6.23/1.18468
Info:Generate Free Relations: Total cpu/real time for freerel: 170.25/11.4954
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 55475611
Info:Lattice Sieving: Average J: 7614.18 for 2175291 special-q, max bucket fill
-bkmult 1.0,1s:1.681260
Info:Lattice Sieving: Total time: 3.83669e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 156.14/172.786
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 172.60000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
1045.26/479.39
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 427.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1864.92/631.13
Info:Filtering - Merging: Total cpu/real time for merge: 1300.83/1101.19
Info:Filtering - Merging: Total cpu/real time for replay: 85.57/67.5176
Info:Linear Algebra: Total cpu/real time for bwc: 103119/14354.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 8982.51, iteration CPU time 0.09, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (82000 iterations)
Info:Linear Algebra: Lingen CPU time 327.11, WCT time 61.82
Info:Linear Algebra: Mksol: WCT time 5032.71, iteration CPU time 0.11, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (41000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 79.27/20.0045
Info:Square Root: Total cpu/real time for sqrt: 1559.39/233.112
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 6.3055e+06/153894
27079034002675760962461260733771669022297115400788153046438172140895590614594449327791349 67273801056051922155398478488072055205280186726250971673826098461289383
software ソフトウェア
CADO-NFS
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 19, 2010 11:03:21 UTC 2010 年 10 月 19 日 (火) 20 時 3 分 21 秒 (日本時間)
403e61610110Ignacio SantosOctober 19, 2010 11:03:21 UTC 2010 年 10 月 19 日 (火) 20 時 3 分 21 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:02:11 UTC 2013 年 9 月 24 日 (火) 21 時 2 分 11 秒 (日本時間)
4511e6410932Ignacio SantosOctober 19, 2010 11:03:21 UTC 2010 年 10 月 19 日 (火) 20 時 3 分 21 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 12:02:11 UTC 2013 年 9 月 24 日 (火) 21 時 2 分 11 秒 (日本時間)
3077Jason Parker-BurlinghamJanuary 23, 2018 01:56:32 UTC 2018 年 1 月 23 日 (火) 10 時 56 分 32 秒 (日本時間)

34×10205-619

c201

name 名前RSALS + Lionel Debroux + Jeff Gilchrist
date 日付December 19, 2009 20:09:35 UTC 2009 年 12 月 20 日 (日) 5 時 9 分 35 秒 (日本時間)
composite number 合成数
122536167090317444356867125024011682742330587441989035896249348125611104083301527989963567114320117086911659712739184291151699414457321554003671039405829333788879554516160538236509939304953236234232929<201>
prime factors 素因数
6653243940397392494635175065150674777204673885975283838243914877021705541471<76>
18417507036875378011545196305661182023918816674371806336236801413263317602935876713906011448012567514226718926734700609166399<125>
factorization results 素因数分解の結果
Fri Dec 18 20:08:07 2009  Msieve v. 1.43
Fri Dec 18 20:08:07 2009  random seeds: 000c36bf be452018
Fri Dec 18 20:08:07 2009  factoring
122536167090317444356867125024011682742330587441989035896249348125611104083301527989963567114320117086911659712739184291151699414457321554003671039405829333788879554516160538236509939304953236234232929
(201 digits)
Fri Dec 18 20:08:09 2009  no P-1/P+1/ECM available, skipping
Fri Dec 18 20:08:09 2009  commencing number field sieve (201-digit input)
Fri Dec 18 20:08:09 2009  R0: -100000000000000000000000000000000000000000
Fri Dec 18 20:08:09 2009  R1:  1
Fri Dec 18 20:08:09 2009  A0: -61
Fri Dec 18 20:08:09 2009  A1:  0
Fri Dec 18 20:08:09 2009  A2:  0
Fri Dec 18 20:08:09 2009  A3:  0
Fri Dec 18 20:08:09 2009  A4:  0
Fri Dec 18 20:08:09 2009  A5:  34
Fri Dec 18 20:08:09 2009  skew 1.12, size 2.293652e-14, alpha
0.988805, combined = 8.014853e-12
Fri Dec 18 20:08:09 2009
Fri Dec 18 20:08:09 2009  commencing linear algebra
Fri Dec 18 20:08:10 2009  read 2849179 cycles
Fri Dec 18 20:08:17 2009  cycles contain 8158912 unique relations
Fri Dec 18 20:09:38 2009  read 8158912 relations
Fri Dec 18 20:09:55 2009  using 20 quadratic characters above 536869560
Fri Dec 18 20:10:52 2009  building initial matrix
Fri Dec 18 20:13:37 2009  memory use: 1077.2 MB
Fri Dec 18 20:13:40 2009  read 2849179 cycles
Fri Dec 18 20:13:43 2009  matrix is 2848753 x 2849179 (844.7 MB) with
weight 251220916 (88.17/col)
Fri Dec 18 20:13:43 2009  sparse part has weight 190104494 (66.72/col)
Fri Dec 18 20:15:06 2009  filtering completed in 3 passes
Fri Dec 18 20:15:07 2009  matrix is 2841034 x 2841234 (843.4 MB) with
weight 250791225 (88.27/col)
Fri Dec 18 20:15:07 2009  sparse part has weight 189847200 (66.82/col)
Fri Dec 18 20:15:32 2009  read 2841234 cycles
Fri Dec 18 20:15:35 2009  matrix is 2841034 x 2841234 (843.4 MB) with
weight 250791225 (88.27/col)
Fri Dec 18 20:15:35 2009  sparse part has weight 189847200 (66.82/col)
Fri Dec 18 20:15:36 2009  saving the first 48 matrix rows for later
Fri Dec 18 20:15:38 2009  matrix is 2840986 x 2841234 (803.6 MB) with
weight 198459543 (69.85/col)
Fri Dec 18 20:15:38 2009  sparse part has weight 182257595 (64.15/col)
Fri Dec 18 20:15:38 2009  matrix includes 64 packed rows
Fri Dec 18 20:15:38 2009  using block size 65536 for processor cache
size 6144 kB
Fri Dec 18 20:15:55 2009  commencing Lanczos iteration (5 threads)
Fri Dec 18 20:15:55 2009  memory use: 886.4 MB
Fri Dec 18 20:16:10 2009  linear algebra at 0.0%, ETA 14h39m
Sat Dec 19 10:10:47 2009  lanczos halted after 44931 iterations (dim = 2840986)
Sat Dec 19 10:10:54 2009  recovered 37 nontrivial dependencies
Sat Dec 19 10:10:54 2009  BLanczosTime: 50565
Sat Dec 19 10:10:54 2009  elapsed time 14:02:47
Sat Dec 19 12:35:30 2009
Sat Dec 19 12:35:30 2009
Sat Dec 19 12:35:30 2009  Msieve v. 1.43
Sat Dec 19 12:35:30 2009  random seeds: 28422809 e2d017fb
Sat Dec 19 12:35:30 2009  factoring
122536167090317444356867125024011682742330587441989035896249348125611104083301527989963567114320117086911659712739184291151699414457321554003671039405829333788879554516160538236509939304953236234232929
(201 digits)
Sat Dec 19 12:35:33 2009  no P-1/P+1/ECM available, skipping
Sat Dec 19 12:35:33 2009  commencing number field sieve (201-digit input)
Sat Dec 19 12:35:33 2009  R0: -100000000000000000000000000000000000000000
Sat Dec 19 12:35:33 2009  R1:  1
Sat Dec 19 12:35:33 2009  A0: -61
Sat Dec 19 12:35:33 2009  A1:  0
Sat Dec 19 12:35:33 2009  A2:  0
Sat Dec 19 12:35:33 2009  A3:  0
Sat Dec 19 12:35:33 2009  A4:  0
Sat Dec 19 12:35:33 2009  A5:  34
Sat Dec 19 12:35:33 2009  skew 1.12, size 2.293652e-14, alpha
0.988805, combined = 8.014853e-12
Sat Dec 19 12:35:33 2009
Sat Dec 19 12:35:33 2009  commencing square root phase
Sat Dec 19 12:35:33 2009  reading relations for dependency 1
Sat Dec 19 12:35:33 2009  read 1420842 cycles
Sat Dec 19 12:35:37 2009  cycles contain 4076728 unique relations
Sat Dec 19 12:36:24 2009  read 4076728 relations
Sat Dec 19 12:36:55 2009  multiplying 4076728 relations
Sat Dec 19 12:40:50 2009  multiply complete, coefficients have about
118.51 million bits
Sat Dec 19 12:40:51 2009  initial square root is modulo 320981651
Sat Dec 19 12:48:53 2009  sqrtTime: 800
Sat Dec 19 12:48:54 2009  prp76 factor:
6653243940397392494635175065150674777204673885975283838243914877021705541471
Sat Dec 19 12:48:54 2009  prp125 factor:
18417507036875378011545196305661182023918816674371806336236801413263317602935876713906011448012567514226718926734700609166399
Sat Dec 19 12:48:54 2009  elapsed time 00:13:24
software ソフトウェア
ggnfs-lasieve4I14e on the RSALS grid + msieve (Lionel Debroux + Jeff Gilchrist)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 29, 2008 11:00:00 UTC 2008 年 11 月 29 日 (土) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6300Serge BatalovDecember 2, 2008 03:05:31 UTC 2008 年 12 月 2 日 (火) 12 時 5 分 31 秒 (日本時間)
4511e61400 / 3419400Lionel DebrouxDecember 6, 2009 08:47:23 UTC 2009 年 12 月 6 日 (日) 17 時 47 分 23 秒 (日本時間)
400Lionel DebrouxDecember 6, 2009 18:46:26 UTC 2009 年 12 月 7 日 (月) 3 時 46 分 26 秒 (日本時間)
600Lionel DebrouxDecember 7, 2009 08:49:18 UTC 2009 年 12 月 7 日 (月) 17 時 49 分 18 秒 (日本時間)
5043e6200 / 7131Lionel DebrouxDecember 8, 2009 13:12:56 UTC 2009 年 12 月 8 日 (火) 22 時 12 分 56 秒 (日本時間)
5511e740 / 1760810Lionel DebrouxDecember 8, 2009 18:11:08 UTC 2009 年 12 月 9 日 (水) 3 時 11 分 8 秒 (日本時間)
30Lionel DebrouxDecember 10, 2009 13:10:39 UTC 2009 年 12 月 10 日 (木) 22 時 10 分 39 秒 (日本時間)

34×10206-619

c201

name 名前Dmitry Domanov
date 日付September 9, 2013 07:20:10 UTC 2013 年 9 月 9 日 (月) 16 時 20 分 10 秒 (日本時間)
composite number 合成数
780643888855596723040635499229802963186441409576525946421654694115024203404571680214282155467985679317460087859173679259600599626347098610706439095196996633358428738348602957400492586293867881532238641<201>
prime factors 素因数
5325881790641205727635740566901<31>
146575519236526588506011880409898832443782727521732876463480541192206690032128336726912575435797429936077052029587018743874894848841856465793752219084377495506068083665741<171>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1114608259
Step 1 took 26820ms
Step 2 took 10032ms
********** Factor found in step 2: 5325881790641205727635740566901
Found probable prime factor of 31 digits: 5325881790641205727635740566901

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10207-619

c178

name 名前Jason Parker-Burlingham
date 日付July 26, 2018 01:02:15 UTC 2018 年 7 月 26 日 (木) 10 時 2 分 15 秒 (日本時間)
composite number 合成数
4453059232353233332152539351677727932539061959666447247151684065822717361368489653786068745793863066752404391314992658036336439287229127730745976742285438198169807837254034650157<178>
prime factors 素因数
16266606148232954847709136961253131354475603<44>
3261296193703347129702792618573555331052411872958647<52>
83940446849735087443932490671761112799620388220016046850847677678951270446013184377<83>
factorization results 素因数分解の結果
Info:Generate Factor Base: Total cpu/real time for makefb: 9.06/1.72826
Info:Generate Free Relations: Total cpu/real time for freerel: 175.1/18.4637
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 53774460
Info:Lattice Sieving: Average J: 15272.4 for 1138240 special-q, max bucket fill -bkmult 1.0,1s:1.632290
Info:Lattice Sieving: Total time: 3.43797e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 143.59/223.882
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 223.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1100.38/727.838
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 643.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2032.53/962.164
Info:Filtering - Merging: Total cpu/real time for merge: 1636.66/1471.6
Info:Filtering - Merging: Total cpu/real time for replay: 85.94/70.5833
Info:Linear Algebra: Total cpu/real time for bwc: 174939/18684.2
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 11701.49, iteration CPU time 0.1, COMM 0.02, cpu-wait 0.03, comm-wait 0.0 (80000 iterations)
Info:Linear Algebra: Lingen CPU time 10489.8, WCT time 868.95
Info:Linear Algebra: Mksol: WCT time 5524.82, iteration CPU time 0.1, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (40000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 84.16/23.4794
Info:Square Root: Total cpu/real time for sqrt: 2159.72/333.951
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.26391e+07/196873
83940446849735087443932490671761112799620388220016046850847677678951270446013184377 3261296193703347129702792618573555331052411872958647 16266606148232954847709136961253131354475603
software ソフトウェア
CADO-NFS
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:02:24 UTC 2013 年 9 月 24 日 (火) 21 時 2 分 24 秒 (日本時間)
4511e641431000Dmitry DomanovSeptember 26, 2013 13:36:22 UTC 2013 年 9 月 26 日 (木) 22 時 36 分 22 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 23, 2018 01:57:06 UTC 2018 年 1 月 23 日 (火) 10 時 57 分 6 秒 (日本時間)

34×10208-619

c155

name 名前Dmitry Domanov
date 日付September 9, 2013 07:19:40 UTC 2013 年 9 月 9 日 (月) 16 時 19 分 40 秒 (日本時間)
composite number 合成数
46160638562107991315790432020274051573727712279348584496483148766550308906824670097211043340740409515857867177188246241027212692604662582517449625538354791<155>
prime factors 素因数
3416200736183833030263820649837<31>
13512273466012153314745963187164765853011865477432702729469454815074059758998202158855335766904071795298801479334810034721443<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=858472670
Step 1 took 21126ms
Step 2 took 7755ms
********** Factor found in step 2: 3416200736183833030263820649837
Found probable prime factor of 31 digits: 3416200736183833030263820649837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10211-619

c211

name 名前Bob Backstrom
date 日付September 9, 2017 20:36:18 UTC 2017 年 9 月 10 日 (日) 5 時 36 分 18 秒 (日本時間)
composite number 合成数
1218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541<211>
prime factors 素因数
6780818306814363455109801315128070464952795802301788080967<58>
179718425961491188247316805631093079383801204998992084884234413174744418690672553550687085090999648423892194699004523809407745502293417408321243610997923<153>
factorization results 素因数分解の結果
Number: n
N=1218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541
  ( 211 digits)
SNFS difficulty: 212 digits.
Divisors found:

Sun Sep 10 06:19:55 2017  prp58 factor: 6780818306814363455109801315128070464952795802301788080967
Sun Sep 10 06:19:55 2017  prp153 factor: 179718425961491188247316805631093079383801204998992084884234413174744418690672553550687085090999648423892194699004523809407745502293417408321243610997923
Sun Sep 10 06:19:55 2017  elapsed time 20:23:40 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.826).
Factorization parameters were as follows:
#
# 34x10^211-61 37(210)1
#
n: 1218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541
m: 100000000000000000000000000000000000
deg: 6
c6: 340
c0: -61
skew: 0.75
# Murphy_E = 3.054e-12
type: snfs
lss: 1
rlim: 24000000
alim: 24000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 24000000/24000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 73600000)
Primes: RFBsize:1507122, AFBsize:1507302,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14653644 hash collisions in 70228234 relations (55953754 unique)
Msieve: matrix is 3974454 x 3974679 (1126.3 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 19hrs 57min 8sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 46sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,24000000,24000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 14:40:09 UTC 2013 年 6 月 29 日 (土) 23 時 40 分 9 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 14:40:09 UTC 2013 年 6 月 29 日 (土) 23 時 40 分 9 秒 (日本時間)
1500Dmitry DomanovSeptember 20, 2013 13:23:07 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 7 秒 (日本時間)
4511e6458232Ignacio SantosJune 29, 2013 14:40:09 UTC 2013 年 6 月 29 日 (土) 23 時 40 分 9 秒 (日本時間)
1500Dmitry DomanovSeptember 20, 2013 13:23:07 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:15 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:30 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 30 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:05 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 5 秒 (日本時間)

34×10212-619

c199

name 名前Dmitry Domanov
date 日付September 9, 2013 07:19:08 UTC 2013 年 9 月 9 日 (月) 16 時 19 分 8 秒 (日本時間)
composite number 合成数
1318920633520867616137072950442676225967456535850578884600085499200853238655799646311415484446355180073215563456407744820271601781156605754759334686593534140439586338985175299442360196413558706501729<199>
prime factors 素因数
370230968702820482713464067055947<33>
3562426552651644383165652772003287809006822958719707634622394403832857303389470178613362132825541401168753873834892285597073987285428804682534664771918379527138258307<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1880748345
Step 1 took 26720ms
Step 2 took 10009ms
********** Factor found in step 2: 370230968702820482713464067055947
Found probable prime factor of 33 digits: 370230968702820482713464067055947

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10213-619

c200

name 名前Jason Parker-Burlingham
date 日付July 27, 2018 20:15:43 UTC 2018 年 7 月 28 日 (土) 5 時 15 分 43 秒 (日本時間)
composite number 合成数
39492006696067624611274403480385065675914746709913450568711967132500115841334240161921525561872831360014766775864037519781845061233149964968748474035960859595609978905388667185712058528037490206431883<200>
prime factors 素因数
37301606145236882968149721581525555056369459<44>
1058721346804806105922166592510710218127356548773704435881661399359308740573112186189130586060878952713080313646795319158158641369823874661923003110775224137<157>
factorization results 素因数分解の結果
$ cat 37771_213.poly
n: 39492006696067624611274403480385065675914746709913450568711967132500115841334240161921525561872831360014766775864037519781845061233149964968748474035960859595609978905388667185712058528037490206431883
skew: 0.35
c0: -61
c6: 34000
Y0: -100000000000000000000000000000000000
Y1: 1
# f(x) = 34000*x^6-61
# g(x) = x-100000000000000000000000000000000000

Info:Generate Factor Base: Total cpu/real time for makefb: 16.14/6.50794
Info:Generate Free Relations: Total cpu/real time for freerel: 280.64/92.3515
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48828126
Info:Lattice Sieving: Average J: 15195.8 for 752798 special-q, max bucket fill -bkmult 1.0,1s:1.234460
Info:Lattice Sieving: Total time: 2.04741e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 104.99/82.1399
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 81.89999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 805.53/302.991
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 257.2s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 907.68/372.574
Info:Filtering - Merging: Total cpu/real time for merge: 1911.56/1897.64
Info:Filtering - Merging: Total cpu/real time for replay: 135.89/151.364
Info:Linear Algebra: Total cpu/real time for bwc: 280980/18929.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 12026.17, iteration CPU time 0.11, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (91000 iterations)
Info:Linear Algebra: Lingen CPU time 691.73, WCT time 67.77
Info:Linear Algebra: Mksol: WCT time 6534.03, iteration CPU time 0.12, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (46000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 102.94/25.9204
Info:Square Root: Total cpu/real time for sqrt: 3083.66/439.483
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 7.46741e+06/19397.9
1058721346804806105922166592510710218127356548773704435881661399359308740573112186189130586060878952713080313646795319158158641369823874661923003110775224137 37301606145236882968149721581525555056369459
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 20, 2013 13:23:22 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 22 秒 (日本時間)
4511e641431500Dmitry DomanovSeptember 20, 2013 13:23:22 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 22 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 23, 2018 01:57:57 UTC 2018 年 1 月 23 日 (火) 10 時 57 分 57 秒 (日本時間)

34×10214-619

c151

name 名前Dmitry Domanov
date 日付September 25, 2013 05:17:16 UTC 2013 年 9 月 25 日 (水) 14 時 17 分 16 秒 (日本時間)
composite number 合成数
1200502147048111485963780822848361442833202406679685863537745373890150811367008846292417236346916092258855839025627877327419881733687259546911239431331<151>
prime factors 素因数
25227931210100098713560204058367676870911381<44>
47586230398768721135960501839587279677892495061479576371152416527759368765842100081547248643493218404868951<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4282394757
Step 1 took 67817ms
Step 2 took 25480ms
********** Factor found in step 2: 25227931210100098713560204058367676870911381
Found probable prime factor of 44 digits: 25227931210100098713560204058367676870911381

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 17:02:09 UTC 2013 年 6 月 30 日 (日) 2 時 2 分 9 秒 (日本時間)
403e61810200Rich DickersonJune 13, 2013 01:25:16 UTC 2013 年 6 月 13 日 (木) 10 時 25 分 16 秒 (日本時間)
110Ignacio SantosJune 29, 2013 17:02:09 UTC 2013 年 6 月 30 日 (日) 2 時 2 分 9 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:02:52 UTC 2013 年 9 月 24 日 (火) 21 時 2 分 52 秒 (日本時間)
4511e61032 / 406132Ignacio SantosJune 29, 2013 17:02:09 UTC 2013 年 6 月 30 日 (日) 2 時 2 分 9 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 12:02:52 UTC 2013 年 9 月 24 日 (火) 21 時 2 分 52 秒 (日本時間)

34×10215-619

c177

name 名前Dmitry Domanov
date 日付September 9, 2013 07:43:30 UTC 2013 年 9 月 9 日 (月) 16 時 43 分 30 秒 (日本時間)
composite number 合成数
263096913259532120636698835136750447841124868767710433618125043884634525213414686904489704323793493695851534510110795133296712739810293132709713541550248090454379027710703831143<177>
prime factors 素因数
85676227145153543130594905327333<32>
3070827486530080632799556291504818597697011401217473510410221981111221795654972749571563271273129356838629186119043405356914375185618204610228571<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3103594806
Step 1 took 24477ms
Step 2 took 8914ms
********** Factor found in step 2: 85676227145153543130594905327333
Found probable prime factor of 32 digits: 85676227145153543130594905327333

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10216-619

c150

name 名前Jason Parker-Burlingham
date 日付May 1, 2018 05:09:24 UTC 2018 年 5 月 1 日 (火) 14 時 9 分 24 秒 (日本時間)
composite number 合成数
436956424244988096581215853086329426625412014949657236849999469495135714292029955980170344086403179440786872509702247576023489272477151164674617638063<150>
prime factors 素因数
101527419950664177328740022303793364249988354448051330587<57>
4303826734268643181821438690549733532213109827262133945980288517234590036596087490141927453949<94>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 85397.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86324/44.690/54.024/59.440/0.907
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 86324/43.680/48.503/54.780/1.379
Info:Polynomial Selection (size optimized): Total time: 316402
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 19312.2
Info:Polynomial Selection (root optimized): Rootsieve time: 19308.4
Info:Generate Factor Base: Total cpu/real time for makefb: 117.97/4.76828
Info:Generate Free Relations: Total cpu/real time for freerel: 2090.21/65.7806
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 52564280
Info:Lattice Sieving: Average J: 3805.39 for 2085713 special-q
Info:Lattice Sieving: Total CPU time: 1.91946e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 287.73/322.323
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 321.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2287.85/1171.91
Warning:Filtering - Duplicate Removal, removal pass: some stats could not be displayed for duplicates2 (see log file for debug info)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2433.94/1014.4
Info:Filtering - Merging: Total cpu/real time for merge: 7399.05/6835.95
Info:Filtering - Merging: Total cpu/real time for replay: 418.5/365.994
Info:Linear Algebra: Total cpu/real time for bwc: 674728/48299.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 18759.91, iteration CPU time 0.16, COMM 0.03, cpu-wait 0.02, comm-wait 0.0 (136000 iterations)
Info:Linear Algebra: Lingen CPU time 6109.39, WCT time 446.34
Info:Linear Algebra: Mksol: WCT time 29086.01, iteration CPU time 0.4, COMM 0.03, cpu-wait 0.0, comm-wait 0.0 (68000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 520.81/96.953
Info:Square Root: Total cpu/real time for sqrt: 45319/5487.51
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.98013e+07/645065
4303826734268643181821438690549733532213109827262133945980288517234590036596087490141927453949 101527419950664177328740022303793364249988354448051330587
software ソフトウェア
CADO-NFS
execution environment 実行環境
Google Cloud compute instance with 32 vCPU cores, 16 for square root step

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 16:40:56 UTC 2013 年 6 月 30 日 (日) 1 時 40 分 56 秒 (日本時間)
403e61610110Ignacio SantosJune 29, 2013 16:40:56 UTC 2013 年 6 月 30 日 (日) 1 時 40 分 56 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:03:08 UTC 2013 年 9 月 24 日 (火) 21 時 3 分 8 秒 (日本時間)
4511e6318232Ignacio SantosJune 29, 2013 16:40:56 UTC 2013 年 6 月 30 日 (日) 1 時 40 分 56 秒 (日本時間)
1000Dmitry DomanovSeptember 24, 2013 12:03:08 UTC 2013 年 9 月 24 日 (火) 21 時 3 分 8 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:03 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 3 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:06 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 6 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:06 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 6 秒 (日本時間)
5043e667821000Rich DickersonNovember 20, 2015 10:01:38 UTC 2015 年 11 月 20 日 (金) 19 時 1 分 38 秒 (日本時間)
1253Jason Parker-BurlinghamJanuary 23, 2018 02:00:27 UTC 2018 年 1 月 23 日 (火) 11 時 0 分 27 秒 (日本時間)
4529Jason Parker-BurlinghamJanuary 24, 2018 13:44:26 UTC 2018 年 1 月 24 日 (水) 22 時 44 分 26 秒 (日本時間)

34×10217-619

c199

name 名前Dmitry Domanov
date 日付September 9, 2013 07:20:41 UTC 2013 年 9 月 9 日 (月) 16 時 20 分 41 秒 (日本時間)
composite number 合成数
5368649137103954734905469584049175360165928692169940542108346253459805294522247331156174137370793946141341137801409467655836035319898629818331703838395179839570434784856096624866495869582388819411331<199>
prime factors 素因数
4698340276326859060457218801317331<34>
composite cofactor 合成数の残り
1142669287738592675125754083311252755803567891812445010851030264893240762515434422761917422905858800405369648972758653999902341728573718313362036252631593408227674001<166>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1437831130
Step 1 took 26670ms
Step 2 took 9981ms
********** Factor found in step 2: 4698340276326859060457218801317331
Found probable prime factor of 34 digits: 4698340276326859060457218801317331

c166

name 名前Jason Parker-Burlingham
date 日付July 26, 2018 12:49:47 UTC 2018 年 7 月 26 日 (木) 21 時 49 分 47 秒 (日本時間)
composite number 合成数
1142669287738592675125754083311252755803567891812445010851030264893240762515434422761917422905858800405369648972758653999902341728573718313362036252631593408227674001<166>
prime factors 素因数
572028523330795213803543900120382806857839291861<48>
1997573969013088473138385276308793426729742446209845853795667722144216000306848111270789844143895336237462694247105741<118>
factorization results 素因数分解の結果
Run 90 out of 1089:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:903917178
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 70964ms
Using 21 small primes for NTT
Estimated memory usage: 233.56MB
Initializing tables of differences for F took 36ms
Computing roots of F took 1548ms
Building F from its roots took 1468ms
Computing 1/F took 740ms
Initializing table of differences for G took 44ms
Computing roots of G took 1248ms
Building G from its roots took 1692ms
Computing roots of G took 1248ms
Building G from its roots took 1688ms
Computing G * H took 380ms
Reducing  G * H mod F took 396ms
Computing roots of G took 1248ms
Building G from its roots took 1688ms
Computing G * H took 364ms
Reducing  G * H mod F took 404ms
Computing roots of G took 1248ms
Building G from its roots took 1684ms
Computing G * H took 372ms
Reducing  G * H mod F took 408ms
Computing roots of G took 1248ms
Building G from its roots took 1688ms
Computing G * H took 376ms
Reducing  G * H mod F took 404ms
Computing polyeval(F,G) took 3096ms
Computing product of all F(g_i) took 16ms
Step 2 took 24840ms
********** Factor found in step 2: 572028523330795213803543900120382806857839291861
Found prime factor of 48 digits: 572028523330795213803543900120382806857839291861
Prime cofactor 1997573969013088473138385276308793426729742446209845853795667722144216000306848111270789844143895336237462694247105741 has 118 digits
Peak memory usage: 321MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
1 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:03:29 UTC 2013 年 9 月 24 日 (火) 21 時 3 分 29 秒 (日本時間)
4511e641431000Dmitry DomanovSeptember 24, 2013 12:03:29 UTC 2013 年 9 月 24 日 (火) 21 時 3 分 29 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 26, 2018 22:32:48 UTC 2018 年 1 月 27 日 (土) 7 時 32 分 48 秒 (日本時間)

34×10218-619

c173

name 名前Jason Parker-Burlingham
date 日付July 26, 2018 18:44:43 UTC 2018 年 7 月 27 日 (金) 3 時 44 分 43 秒 (日本時間)
composite number 合成数
11020734888150606767818583257418135003364160885087874127416572493441534917891978680427471121072276527424082160313400996433480125835190441215328047038325480379670970500461773<173>
prime factors 素因数
45492903920239783863504046884135044382170317<44>
242251734632562860387036603513138599416671976415482693209142927991235165021369694808203091831563143431719589632787018706213664769<129>
factorization results 素因数分解の結果
Run 14 out of 545:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4273154147
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 119656ms
Using 21 small primes for NTT
Estimated memory usage: 233.56MB
Initializing tables of differences for F took 56ms
Computing roots of F took 2472ms
Building F from its roots took 2432ms
Computing 1/F took 1268ms
Initializing table of differences for G took 68ms
Computing roots of G took 1972ms
Building G from its roots took 2824ms
Computing roots of G took 1964ms
Building G from its roots took 2828ms
Computing G * H took 636ms
Reducing  G * H mod F took 688ms
Computing roots of G took 1972ms
Building G from its roots took 2832ms
Computing G * H took 636ms
Reducing  G * H mod F took 688ms
Computing roots of G took 1972ms
Building G from its roots took 2828ms
Computing G * H took 632ms
Reducing  G * H mod F took 680ms
Computing roots of G took 1972ms
Building G from its roots took 2824ms
Computing G * H took 620ms
Reducing  G * H mod F took 692ms
Computing polyeval(F,G) took 5136ms
Computing product of all F(g_i) took 20ms
Step 2 took 40900ms
********** Factor found in step 2: 45492903920239783863504046884135044382170317
Found prime factor of 44 digits: 45492903920239783863504046884135044382170317
Prime cofactor 242251734632562860387036603513138599416671976415482693209142927991235165021369694808203091831563143431719589632787018706213664769 has 129 digits
Peak memory usage: 321MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/k8/params.h
execution environment 実行環境
1 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:03:46 UTC 2013 年 9 月 24 日 (火) 21 時 3 分 46 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 28, 2013 15:41:29 UTC 2013 年 10 月 29 日 (火) 0 時 41 分 29 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 26, 2018 13:50:47 UTC 2018 年 1 月 26 日 (金) 22 時 50 分 47 秒 (日本時間)

34×10219-619

c113

name 名前Dmitry Domanov
date 日付June 10, 2013 13:44:27 UTC 2013 年 6 月 10 日 (月) 22 時 44 分 27 秒 (日本時間)
composite number 合成数
36686340284722432633625168977516239034720061624233015828897802340017700577426055429243141475409512943725506923577<113>
prime factors 素因数
16009971912233415420843595534604560379341607<44>
2291468122857226948855047152632560400783431368405690487193786833463711<70>
factorization results 素因数分解の結果
N=36686340284722432633625168977516239034720061624233015828897802340017700577426055429243141475409512943725506923577
  ( 113 digits)
Divisors found:
 r1=16009971912233415420843595534604560379341607 (pp44)
 r2=2291468122857226948855047152632560400783431368405690487193786833463711 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 27.22 hours.
Scaled time: 21.81 units (timescale=0.801).
Factorization parameters were as follows:
n: 36686340284722432633625168977516239034720061624233015828897802340017700577426055429243141475409512943725506923577
skew: 127152.59
c0: -17073998428175160329268694640
c1: -314684400137396012995838
c2: 12585218247853660612
c3: 48389096046149
c4: -449265566
c5: 1200
Y0: -7889789802415729991481
Y1: 195118359647
rlim: 3980000
alim: 3980000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 200000
type: gnfs
Factor base limits: 3980000/3980000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [1990000, 2790001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 444124 x 444352
Total sieving time: 26.51 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.34 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,112,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3980000,3980000,27,27,54,54,2.5,2.5,100000
total time: 27.22 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
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e60 / 1525--
4511e6230 / 4475Ignacio SantosJune 9, 2013 18:04:36 UTC 2013 年 6 月 10 日 (月) 3 時 4 分 36 秒 (日本時間)

34×10220-619

c123

name 名前Dmitry Domanov
date 日付June 11, 2013 14:09:58 UTC 2013 年 6 月 11 日 (火) 23 時 9 分 58 秒 (日本時間)
composite number 合成数
174206995139927013875069862031239020699564372040882687636753071253031592166594075856589108579143792082924325658226113568273<123>
prime factors 素因数
1890746292376459036726324826434303786546340518618290533<55>
92136631890981038182664414362503925894225222252233741631290756414781<68>
factorization results 素因数分解の結果
N=174206995139927013875069862031239020699564372040882687636753071253031592166594075856589108579143792082924325658226113568273
  ( 123 digits)
Divisors found:
 r1=1890746292376459036726324826434303786546340518618290533 (pp55)
 r2=92136631890981038182664414362503925894225222252233741631290756414781 (pp68)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 75.43 hours.
Scaled time: 46.31 units (timescale=0.614).
Factorization parameters were as follows:
n: 174206995139927013875069862031239020699564372040882687636753071253031592166594075856589108579143792082924325658226113568273
skew: 486025.00
c0: 1105270334828404310854577577792
c1: -12549482028911826337537192
c2: 82896827504425259622
c3: -25965810521361
c4: -13371284
c5: 348
Y0: -870757596077645345451905
Y1: 668792216239
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 400000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 652007 x 652237
Total sieving time: 73.92 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 0.89 hours.
Time per square root: 0.27 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 75.43 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
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e60 / 1525--
4511e6230 / 4475Ignacio SantosJune 9, 2013 21:53:29 UTC 2013 年 6 月 10 日 (月) 6 時 53 分 29 秒 (日本時間)

34×10221-619

c222

name 名前matsui
date 日付August 23, 2013 01:18:05 UTC 2013 年 8 月 23 日 (金) 10 時 18 分 5 秒 (日本時間)
composite number 合成数
377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<222>
prime factors 素因数
289278327765455766670023187397287117<36>
1305931836290468877093809082655003682883139066532159310442774734554050630094515222070182884328840772367974544297880321357297509901034281606221720801428451077723521978147198224874071498263<187>
factorization results 素因数分解の結果
N=377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 222 digits)
SNFS difficulty: 223 digits.
Divisors found:
 r1=289278327765455766670023187397287117 (pp36)
 r2=1305931836290468877093809082655003682883139066532159310442774734554050630094515222070182884328840772367974544297880321357297509901034281606221720801428451077723521978147198224874071498263 (pp187)
Version: Msieve v. 1.52 (SVN unknown)
Total time:
Scaled time: 339.48 units (timescale=1.878).
Factorization parameters were as follows:
n: 377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 10000000000000000000000000000000000000
deg: 6
c6: 17
c0: -305
skew: 1.62
# Murphy_E = 1.811e-12
type: snfs
lss: 1
rlim: 37000000
alim: 37000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
qintsize: 800000
Factor base limits: 37000000/37000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved rational special-q in [18500000, 69700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 6786153 x 6786380
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,223.000,6,0,0,0,0,0,0,0,0,37000000,37000000,29,29,58,58,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 29, 2013 20:17:10 UTC 2013 年 6 月 30 日 (日) 5 時 17 分 10 秒 (日本時間)
403e6110 / 2126Ignacio SantosJune 29, 2013 20:17:10 UTC 2013 年 6 月 30 日 (日) 5 時 17 分 10 秒 (日本時間)
4511e632 / 4437Ignacio SantosJune 29, 2013 20:17:10 UTC 2013 年 6 月 30 日 (日) 5 時 17 分 10 秒 (日本時間)

34×10222-619

c203

name 名前Jason Parker-Burlingham
date 日付July 27, 2018 14:38:05 UTC 2018 年 7 月 27 日 (金) 23 時 38 分 5 秒 (日本時間)
composite number 合成数
50409057541338956243216866328116710200991620226679499891958818097317422932709715356549610188511617038720023640034368941655601772362974579250634118186178366365406530905339788387381827034392005228021286631<203>
prime factors 素因数
24170861220403077745392835400293201192013859684319<50>
2085530055453205133685997532513683137157875655429448124780037995830231983321537299788515378474793582642886468077494441876943859911301515929947325569645049<154>
factorization results 素因数分解の結果
Run 2 out of 599:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=1:64779481
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
25      91      373     1709    8656    47888   288516  1857217 1.3e+07 9.3e+07
Step 1 took 978716ms
Using 25 small primes for NTT
Estimated memory usage: 1.13GB
Initializing tables of differences for F took 476ms
Computing roots of F took 30404ms
Building F from its roots took 15768ms
Computing 1/F took 7112ms
Initializing table of differences for G took 612ms
Computing roots of G took 24180ms
Building G from its roots took 18296ms
Computing roots of G took 24144ms
Building G from its roots took 18288ms
Computing G * H took 3548ms
Reducing  G * H mod F took 3808ms
Computing roots of G took 24144ms
Building G from its roots took 18300ms
Computing G * H took 3568ms
Reducing  G * H mod F took 3836ms
Computing roots of G took 24140ms
Building G from its roots took 18296ms
Computing G * H took 3552ms
Reducing  G * H mod F took 3856ms
Computing polyeval(F,G) took 32112ms
Computing product of all F(g_i) took 112ms
Step 2 took 279304ms
********** Factor found in step 2: 24170861220403077745392835400293201192013859684319
Found prime factor of 50 digits: 24170861220403077745392835400293201192013859684319
Prime cofactor 2085530055453205133685997532513683137157875655429448124780037995830231983321537299788515378474793582642886468077494441876943859911301515929947325569645049 has 154 digits
Peak memory usage: 1448MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
5 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 20, 2013 13:23:40 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 40 秒 (日本時間)
4511e641431500Dmitry DomanovSeptember 20, 2013 13:23:40 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 40 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 26, 2018 23:38:08 UTC 2018 年 1 月 27 日 (土) 8 時 38 分 8 秒 (日本時間)
5043e62000 / 65661000Jason Parker-BurlinghamJuly 26, 2018 22:28:31 UTC 2018 年 7 月 27 日 (金) 7 時 28 分 31 秒 (日本時間)
1000Jason Parker-BurlinghamJuly 26, 2018 22:31:07 UTC 2018 年 7 月 27 日 (金) 7 時 31 分 7 秒 (日本時間)

34×10223-619

c222

name 名前Bob Backstrom
date 日付July 15, 2018 11:34:24 UTC 2018 年 7 月 15 日 (日) 20 時 34 分 24 秒 (日本時間)
composite number 合成数
712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807<222>
prime factors 素因数
13733050099525941805001241187947744154476268453920659<53>
51903128204758852667225976092259411118216514897881114292496187635719576320204185542967412815091741327616680123997728054240113617121682492465124199207666855755669873010373<170>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807 (222 digits)
Using B1=20230000, B2=70272629710, polynomial Dickson(12), sigma=1:549053516
Step 1 took 272328ms
Step 2 took 80000ms
********** Factor found in step 2: 13733050099525941805001241187947744154476268453920659
Found probable prime factor of 53 digits: 13733050099525941805001241187947744154476268453920659
Probable prime cofactor 51903128204758852667225976092259411118216514897881114292496187635719576320204185542967412815091741327616680123997728054240113617121682492465124199207666855755669873010373 has 170 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJuly 27, 2013 05:39:07 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 7 秒 (日本時間)
403e61610110Ignacio SantosJuly 27, 2013 05:39:07 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 7 秒 (日本時間)
1500Dmitry DomanovSeptember 20, 2013 13:23:56 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 56 秒 (日本時間)
4511e6368232Ignacio SantosJuly 27, 2013 05:39:07 UTC 2013 年 7 月 27 日 (土) 14 時 39 分 7 秒 (日本時間)
1500Dmitry DomanovSeptember 20, 2013 13:23:56 UTC 2013 年 9 月 20 日 (金) 22 時 23 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:26 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 26 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:26 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 26 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:44 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 44 秒 (日本時間)
5043e6121 / 6664KTakahashiAugust 24, 2014 01:38:16 UTC 2014 年 8 月 24 日 (日) 10 時 38 分 16 秒 (日本時間)

34×10225-619

c148

name 名前Jason Parker-Burlingham
date 日付June 23, 2018 23:21:06 UTC 2018 年 6 月 24 日 (日) 8 時 21 分 6 秒 (日本時間)
composite number 合成数
1969038088088390191000025083254097780262539849753045399623911736136561547694693357401582314253255649000492773785905447827684404493549485925588464027<148>
prime factors 素因数
627656820418388276510601338693419874224064807<45>
3137125295278164500006201672809163723423595052638822802564330021446747331836757378696795368903104484461<103>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 85397.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86257/43.730/53.148/57.820/0.928
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 86257/42.710/47.524/53.870/1.208
Info:Polynomial Selection (size optimized): Total time: 92852.5
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3117.48
Info:Polynomial Selection (root optimized): Rootsieve time: 3116.76
Info:Generate Factor Base: Total cpu/real time for makefb: 48.66/29.2081
Info:Generate Free Relations: Total cpu/real time for freerel: 624.59/230.191
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 51333830
Info:Lattice Sieving: Average J: 3833.3 for 1801653 special-q, max bucket fill -bkmult 1.0,1s:1.130210
Info:Lattice Sieving: Total time: 1.8872e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 275.82/308.983
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 306.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
2613.66/1478.14
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1253.1000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2867.82/1535.46
Info:Filtering - Merging: Total cpu/real time for merge: 11811.1/11985.8
Info:Filtering - Merging: Total cpu/real time for replay: 646.83/672.129
Info:Linear Algebra: Total cpu/real time for bwc: 880312/311944
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 201966.09, iteration CPU time 1.27, COMM 0.07, cpu-wait 0.13, comm-wait 0.0 (137000 iterations)
Info:Linear Algebra: Lingen CPU time 2427.32, WCT time 1146.39
Info:Linear Algebra: Mksol: WCT time 106613.07, iteration CPU time 1.34, COMM 0.07, cpu-wait 0.13, comm-wait 0.0 (69000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 320.36/224.013
Info:Square Root: Total cpu/real time for sqrt: 15627/4868.81
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 4.0055e+06/382588
627656820418388276510601338693419874224064807 3137125295278164500006201672809163723423595052638822802564330021446747331836757378696795368903104484461

$ cat c150.poly
n: 1969038088088390191000025083254097780262539849753045399623911736136561547694693357401582314253255649000492773785905447827684404493549485925588464027
skew: 978474.487
c0: 27091081205962554786339118739444744
c1: -86064118349340040194171811402
c2: -103751909512306357010645
c3: 50555902557205123
c4: 54956755086
c5: 36840
Y0: -40331672732325186918371892729
Y1: 45642464788774613581
# MurphyE (Bf=3.200e+07,Bg=1.600e+07,area=1.074e+15) = 4.28e-10
# found by revision 29a7a7cc3
# f(x) = 36840*x^5+54956755086*x^4+50555902557205123*x^3-103751909512306357010645*x^2-86064118349340040194171811402*x+27091081205962554786339118739444744
# g(x) = 45642464788774613581*x-40331672732325186918371892729

--------------------------------------------------------------------------------

I've been using near repdigit factors as "nothing up my sleeve" inputs for my GNFS factoring work, but I was a little surprised at how small the first factor was here: that c148 had had plenty of curves run to find a 45-digit factor!

The running time of CADO-NFS was still only five days but I will have to revise my assessment of whether I should complete ECM up to 50 digits if it turns out the factor could have been found more easily.

Indeed:

$ echo $N | time /pkg/ecm/bin/ecm -v -one -c 1000 43000000 
[...]
Run 8 out of 1000:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:332792451
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 137731ms
Using 19 small primes for NTT
Estimated memory usage: 227.17MB
Initializing tables of differences for F took 73ms
Computing roots of F took 3372ms
Building F from its roots took 2955ms
Computing 1/F took 1387ms
Initializing table of differences for G took 97ms
Computing roots of G took 2701ms
Building G from its roots took 3050ms
Computing roots of G took 2711ms
Building G from its roots took 3044ms
Computing G * H took 711ms
Reducing  G * H mod F took 772ms
Computing roots of G took 2695ms
Building G from its roots took 3042ms
Computing G * H took 710ms
Reducing  G * H mod F took 766ms
Computing roots of G took 2714ms
Building G from its roots took 3050ms
Computing G * H took 711ms
Reducing  G * H mod F took 765ms
Computing roots of G took 2729ms
Building G from its roots took 3029ms
Computing G * H took 708ms
Reducing  G * H mod F took 768ms
Computing polyeval(F,G) took 6201ms
Computing product of all F(g_i) took 34ms
Step 2 took 49298ms
********** Factor found in step 2: 627656820418388276510601338693419874224064807
Found prime factor of 45 digits: 627656820418388276510601338693419874224064807
Prime cofactor 3137125295278164500006201672809163723423595052638822802564330021446747331836757378696795368903104484461 has 103 digits
     1924.84 real
      1501.23 user
        15.89 sys
software ソフトウェア
CADO-NFS
execution environment 実行環境
6 machines with AMD Ryzen 7 1700X Eight-Core Processor and 64GB RAM running Debian 9.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2013 21:52:37 UTC 2013 年 6 月 11 日 (火) 6 時 52 分 37 秒 (日本時間)
403e61610110Ignacio SantosJune 10, 2013 21:52:37 UTC 2013 年 6 月 11 日 (火) 6 時 52 分 37 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:04:12 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 12 秒 (日本時間)
4511e6411832Ignacio SantosJune 10, 2013 21:52:37 UTC 2013 年 6 月 11 日 (火) 6 時 52 分 37 秒 (日本時間)
1500Dmitry DomanovSeptember 24, 2013 12:04:12 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 12 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:39 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 39 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:47 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 47 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:50 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 50 秒 (日本時間)
436Ignacio SantosDecember 22, 2015 19:05:26 UTC 2015 年 12 月 23 日 (水) 4 時 5 分 26 秒 (日本時間)

34×10226-619

c145

name 名前Ignacio Santos
date 日付June 10, 2013 21:51:37 UTC 2013 年 6 月 11 日 (火) 6 時 51 分 37 秒 (日本時間)
composite number 合成数
4501975456777409206296185352706115922458880218536126089872511398675020394555481783148136670635421589588624220685053190212829155193327920647306537<145>
prime factors 素因数
399940928201086471789457465137<30>
composite cofactor 合成数の残り
11256601011121970054107662978816174814561438227231325436829846048442734123276420087012563541776593525463391857422201<116>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1724561562
Step 1 took 1813ms
Step 2 took 1781ms
********** Factor found in step 2: 399940928201086471789457465137
Found probable prime factor of 30 digits: 399940928201086471789457465137
Composite cofactor 11256601011121970054107662978816174814561438227231325436829846048442734123276420087012563541776593525463391857422201 has 116 digits
software ソフトウェア
GMP-ECM 7.0

c116

name 名前Erik Branger
date 日付June 13, 2013 06:42:03 UTC 2013 年 6 月 13 日 (木) 15 時 42 分 3 秒 (日本時間)
composite number 合成数
11256601011121970054107662978816174814561438227231325436829846048442734123276420087012563541776593525463391857422201<116>
prime factors 素因数
20875957936165128247540397721048875809<38>
539213627731125097468701945393164305293128001346705687743292814499402883692889<78>
factorization results 素因数分解の結果
Number: 37771_226
N = 11256601011121970054107662978816174814561438227231325436829846048442734123276420087012563541776593525463391857422201 (116 digits)
Divisors found:
r1=20875957936165128247540397721048875809 (pp38)
r2=539213627731125097468701945393164305293128001346705687743292814499402883692889 (pp78)
Version: Msieve v. 1.51 (SVN 845)
Total time: 20.53 hours.
Factorization parameters were as follows:
n: 11256601011121970054107662978816174814561438227231325436829846048442734123276420087012563541776593525463391857422201
Y0: -19615757078101608397480
Y1: 320859308671
c0: 16030770604039533079173979071
c1: 1631610714155422832736771
c2: 25316482619541527377
c3: -154868734857703
c4: -1019396144
c5: 3876
skew: 132179.45 
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: 18371900
Relations: 420890 relations
Pruned matrix : 326775 x 327023
Polynomial selection time: 0.00 hours.
Total sieving time: 20.33 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.06 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: 20.53 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10227-619

c198

name 名前Dmitry Domanov
date 日付September 9, 2013 07:42:27 UTC 2013 年 9 月 9 日 (月) 16 時 42 分 27 秒 (日本時間)
composite number 合成数
161343584981233075930475237191021936203283432571601756223676510949425860950843734536557012559029253392728470207408009052035672043523706417350001809553183158448376320426768130046062677575491407604033<198>
prime factors 素因数
3075452794054547369165071793440132759<37>
composite cofactor 合成数の残り
52461733535023469582898980803025972072154673059207507371871956720157538980469774456355318868362574913046398308516905643172573624898578282415411269306626660506087<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1650270892
Step 1 took 26791ms
Step 2 took 10321ms
********** Factor found in step 2: 3075452794054547369165071793440132759
Found probable prime factor of 37 digits: 3075452794054547369165071793440132759

c161

name 名前Jason Parker-Burlingham
date 日付July 31, 2018 12:04:28 UTC 2018 年 7 月 31 日 (火) 21 時 4 分 28 秒 (日本時間)
composite number 合成数
52461733535023469582898980803025972072154673059207507371871956720157538980469774456355318868362574913046398308516905643172573624898578282415411269306626660506087<161>
prime factors 素因数
108271237886719566423830082476459531326660175221333720162289546016107848102783919<81>
484539888515104613829566316592319296640643034470823948318584200146542245073120073<81>
factorization results 素因数分解の結果
n: 52461733535023469582898980803025972072154673059207507371871956720157538980469774456355318868362574913046398308516905643172573624898578282415411269306626660506087
skew: 1.62
c0: -305
c6: 17
Y0: -100000000000000000000000000000000000000
Y1: 1
# f(x) = 17*x^6-305
# g(x) = x-100000000000000000000000000000000000000

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: 30.12/2.64746
Info:Generate Free Relations: Total cpu/real time for freerel: 606.49/39.0541
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 94755935
Info:Lattice Sieving: Average J: 7598.87 for 3864890 special-q, max bucket fill -bkmult 1.0,1s:1.232000
Info:Lattice Sieving: Total time: 4.86886e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 472.89/320.474
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 320.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1806.55/653.973
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 560.8000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1885.65/670.64
Info:Filtering - Merging: Total cpu/real time for merge: 3517.7/3041.38
Info:Filtering - Merging: Total cpu/real time for replay: 220.3/183.274
Info:Linear Algebra: Total cpu/real time for bwc: 1.44987e+06/102906
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 68085.13, iteration CPU time 0.31, COMM 0.03, cpu-wait 0.03, comm-wait 0.0 (183000 iterations)
Info:Linear Algebra: Lingen CPU time 1519.44, WCT time 145.62
Info:Linear Algebra: Mksol: WCT time 33755.19, iteration CPU time 0.32, COMM 0.03, cpu-wait 0.01, comm-wait 0.0 (92000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 199.25/50.1311
Info:Square Root: Total cpu/real time for sqrt: 4891.52/722.244
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.25175e+07/177564
108271237886719566423830082476459531326660175221333720162289546016107848102783919 484539888515104613829566316592319296640643034470823948318584200146542245073120073
software ソフトウェア
CADO-NFS 3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:04:29 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 29 秒 (日本時間)
4511e628801500Dmitry DomanovSeptember 24, 2013 12:04:29 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 29 秒 (日本時間)
1380Jason Parker-BurlinghamJanuary 25, 2018 23:28:05 UTC 2018 年 1 月 26 日 (金) 8 時 28 分 5 秒 (日本時間)
5043e69080360Dmitry DomanovJune 20, 2017 18:16:26 UTC 2017 年 6 月 21 日 (水) 3 時 16 分 26 秒 (日本時間)
8720Jason Parker-BurlinghamJuly 27, 2018 19:41:04 UTC 2018 年 7 月 28 日 (土) 4 時 41 分 4 秒 (日本時間)
5511e74393 / 14337Jason Parker-BurlinghamJuly 28, 2018 01:52:12 UTC 2018 年 7 月 28 日 (土) 10 時 52 分 12 秒 (日本時間)

34×10228-619

c179

name 名前Jason Parker-Burlingham
date 日付August 3, 2018 02:19:40 UTC 2018 年 8 月 3 日 (金) 11 時 19 分 40 秒 (日本時間)
composite number 合成数
15095656734200223160966464589706099337424536753442079676877817145835094809622507047375525174652866693750805758396073491825988296478557958852791476653161798482775684558027778807101<179>
prime factors 素因数
471892615779136747762819489786454245570392115502664582970172926752122689<72>
31989601509817967967941844063023452780997745290292301053714240384576922502505478932030070461949892411706109<107>
factorization results 素因数分解の結果
Info:Generate Factor Base: Total cpu/real time for makefb: 39.2/15.1467
Info:Generate Free Relations: Total cpu/real time for freerel: 759.94/202.212
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 86450198
Info:Lattice Sieving: Average J: 15228.6 for 1643028 special-q, max bucket fill -bkmult 1.0,1s:1.127300
Info:Lattice Sieving: Total time: 8.86625e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 453.52/193.16
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 193.1s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1482.65/437.167
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 391.5s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1807.18/396.566
Info:Filtering - Merging: Total cpu/real time for merge: 3807.17/3312.47
Info:Filtering - Merging: Total cpu/real time for replay: 244.98/200.415
Info:Linear Algebra: Total cpu/real time for bwc: 1.07612e+06/93971.5
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 64600.94, iteration CPU time 0.29, COMM 0.03, cpu-wait 0.06, comm-wait 0.0 (171000 iterations)
Info:Linear Algebra: Lingen CPU time 1397.49, WCT time 135.28
Info:Linear Algebra: Mksol: WCT time 28423.97, iteration CPU time 0.29, COMM 0.03, cpu-wait 0.01, comm-wait 0.0 (86000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 192.75/48.8528
Info:Square Root: Total cpu/real time for sqrt: 4948.78/720.091
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.71137e+07/94748.7
471892615779136747762819489786454245570392115502664582970172926752122689 31989601509817967967941844063023452780997745290292301053714240384576922502505478932030070461949892411706109
software ソフトウェア
CADO-NFS 3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:04:42 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 42 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 28, 2013 15:41:48 UTC 2013 年 10 月 29 日 (火) 0 時 41 分 48 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 26, 2018 22:30:43 UTC 2018 年 1 月 27 日 (土) 7 時 30 分 43 秒 (日本時間)
5043e62013 / 6566304Jason Parker-BurlinghamJune 27, 2018 18:16:18 UTC 2018 年 6 月 28 日 (木) 3 時 16 分 18 秒 (日本時間)
1709Jason Parker-BurlinghamJuly 28, 2018 01:50:05 UTC 2018 年 7 月 28 日 (土) 10 時 50 分 5 秒 (日本時間)

34×10229-619

c213

name 名前Jason Parker-Burlingham
date 日付August 18, 2018 04:35:21 UTC 2018 年 8 月 18 日 (土) 13 時 35 分 21 秒 (日本時間)
composite number 合成数
226370348479264789711824425834248193834313819532055442011586954417015288911500373528799945521704959991444122815163503561375209619599467734316727793456478707566496087254917089226421494227870628960240858326988322123<213>
prime factors 素因数
35020442769329876367522852735060830348867981850170604303099578467<65>
6463948784722816185901384621852688761921664616020783901443547268726228461664676485561963639543974467240297445194995726733180417921657435498535243769<148>
factorization results 素因数分解の結果
Run 25 out of 100:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=2900000000, B2=82640965106716, polynomial Dickson(30), sigma=1:37222389
97
dF=524288, k=26, d=5705700, d2=17, i0=492
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
11      32      100     351     1343    5573    24857   119075  601893  3213467
Step 1 took 12383636ms
Using 26 small primes for NTT
Estimated memory usage: 2.46GB
Initializing tables of differences for F took 545ms
Computing roots of F took 71180ms
Building F from its roots took 32894ms
Computing 1/F took 12863ms
Initializing table of differences for G took 1540ms
Computing roots of G took 56557ms
Building G from its roots took 37675ms
Computing roots of G took 56540ms
Building G from its roots took 37580ms
Computing G * H took 6443ms
Reducing  G * H mod F took 6977ms
Computing roots of G took 56545ms
Building G from its roots took 37463ms
Computing G * H took 6483ms
Reducing  G * H mod F took 7006ms
Computing roots of G took 56544ms
Building G from its roots took 37551ms
Computing G * H took 6446ms
Reducing  G * H mod F took 7029ms
Computing roots of G took 56545ms
Building G from its roots took 37560ms
Computing G * H took 6423ms
Reducing  G * H mod F took 7029ms
Computing roots of G took 56530ms
Building G from its roots took 37922ms
Computing G * H took 6416ms
Reducing  G * H mod F took 7073ms
Computing roots of G took 56536ms
Building G from its roots took 37627ms
Computing G * H took 6483ms
Reducing  G * H mod F took 7019ms
Computing roots of G took 56535ms
Building G from its roots took 37743ms
Computing G * H took 6412ms
Reducing  G * H mod F took 7003ms
Computing roots of G took 56543ms
Building G from its roots took 37586ms
Computing G * H took 6489ms
Reducing  G * H mod F took 7016ms
Computing roots of G took 56537ms
Building G from its roots took 37791ms
Computing G * H took 6498ms
Reducing  G * H mod F took 7037ms
Computing roots of G took 56535ms
Building G from its roots took 37568ms
Computing G * H took 6493ms
Reducing  G * H mod F took 7047ms
Computing roots of G took 56540ms
Building G from its roots took 37594ms
Computing G * H took 6494ms
Reducing  G * H mod F took 7025ms
Computing roots of G took 56511ms
Building G from its roots took 37588ms
Computing G * H took 6463ms
Reducing  G * H mod F took 7058ms
Computing roots of G took 56525ms
Building G from its roots took 37528ms
Computing G * H took 6497ms
Reducing  G * H mod F took 7073ms
Computing roots of G took 56524ms
Building G from its roots took 37532ms
Computing G * H took 6493ms
Reducing  G * H mod F took 7065ms
Computing roots of G took 56538ms
Building G from its roots took 37497ms
Computing G * H took 6487ms
Reducing  G * H mod F took 7087ms
Computing roots of G took 56548ms
Building G from its roots took 37618ms
Computing G * H took 6478ms
Reducing  G * H mod F took 7069ms
Computing roots of G took 56566ms
Building G from its roots took 37492ms
Computing G * H took 6508ms
Reducing  G * H mod F took 7056ms
Computing roots of G took 56592ms
Building G from its roots took 37482ms
Computing G * H took 6451ms
Reducing  G * H mod F took 7055ms
Computing roots of G took 56603ms
Building G from its roots took 37633ms
Computing G * H took 6423ms
Reducing  G * H mod F took 7050ms
Computing roots of G took 56616ms
Building G from its roots took 37464ms
Computing G * H took 6430ms
Reducing  G * H mod F took 7041ms
Computing roots of G took 56630ms
Building G from its roots took 37470ms
Computing G * H took 6482ms
Reducing  G * H mod F took 7042ms
Computing roots of G took 56650ms
Building G from its roots took 37470ms
Computing G * H took 6503ms
Reducing  G * H mod F took 7045ms
Computing roots of G took 56579ms
Building G from its roots took 37431ms
Computing G * H took 6433ms
Reducing  G * H mod F took 6997ms
Computing roots of G took 56577ms
Building G from its roots took 37465ms
Computing G * H took 6433ms
Reducing  G * H mod F took 7004ms
Computing roots of G took 56583ms
Building G from its roots took 37426ms
Computing G * H took 6474ms
Reducing  G * H mod F took 7013ms
Computing polyeval(F,G) took 69142ms
Computing product of all F(g_i) took 279ms
Step 2 took 2976668ms
********** Factor found in step 2: 35020442769329876367522852735060830348867981850170604303099578467
Found prime factor of 65 digits: 35020442769329876367522852735060830348867981850170604303099578467
Prime cofactor 6463948784722816185901384621852688761921664616020783901443547268726228461664676485561963639543974467240297445194995726733180417921657435498535243769 has 148 digits
Peak memory usage: 3547MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:04:52 UTC 2013 年 9 月 24 日 (火) 21 時 4 分 52 秒 (日本時間)
4511e641431000Dmitry DomanovNovember 15, 2013 06:32:47 UTC 2013 年 11 月 15 日 (金) 15 時 32 分 47 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 27, 2018 22:57:53 UTC 2018 年 1 月 28 日 (日) 7 時 57 分 53 秒 (日本時間)
5043e69006300Jason Parker-BurlinghamJuly 31, 2018 13:53:09 UTC 2018 年 7 月 31 日 (火) 22 時 53 分 9 秒 (日本時間)
8706Jason Parker-BurlinghamAugust 9, 2018 20:45:35 UTC 2018 年 8 月 10 日 (金) 5 時 45 分 35 秒 (日本時間)
5511e720528Jason Parker-BurlinghamAugust 11, 2018 14:36:30 UTC 2018 年 8 月 11 日 (土) 23 時 36 分 30 秒 (日本時間)
6026e71920 / 33139Jason Parker-BurlinghamAugust 12, 2018 02:46:54 UTC 2018 年 8 月 12 日 (日) 11 時 46 分 54 秒 (日本時間)

34×10230-619

c189

name 名前Jason Parker-Burlingham
date 日付September 7, 2018 20:27:42 UTC 2018 年 9 月 8 日 (土) 5 時 27 分 42 秒 (日本時間)
composite number 合成数
725448583105549155653227353845976158230069052571194455673998694115364344268364070784955956846883043365879872546397976988298121784186582570010419519058800585636900936777286232979952565671897<189>
prime factors 素因数
1920206360410184537697516142613238345483740507320823125594986791564137883<73>
377797198292053665798911574128071780815463488225185938338924613072225704872511143062837766130108841703698667909429659<117>
factorization results 素因数分解の結果
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: 24.01/6.14066       
Info:Generate Free Relations: Total cpu/real time for freerel: 496.83/72.1597  
Info:Lattice Sieving: Aggregate statistics:                                    
Info:Lattice Sieving: Total number of relations: 82620390                      
Info:Lattice Sieving: Average J: 15173.5 for 2210504 special-q, max bucket fill
-bkmult 1.1
Info:Lattice Sieving: Total time: 1.1413e+07s                                  
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 481.21/313.48
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:      
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 313.4s  
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
1739.88/410.267
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:        
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 379.5s    
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1007.71/279.305
Info:Filtering - Merging: Total cpu/real time for merge: 4267.36/3650.42       
Info:Filtering - Merging: Total cpu/real time for replay: 245.67/201.895       
Info:Linear Algebra: Total cpu/real time for bwc: 988581/66045.3               
Info:Linear Algebra: Aggregate statistics:                                     
Info:Linear Algebra: Krylov: WCT time 14672.37, iteration CPU time 0.41, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (218000 iterations)                           
Info:Linear Algebra: Lingen CPU time 1822.83, WCT time 171.34                  
Info:Linear Algebra: Mksol: WCT time 51194.28, iteration CPU time 0.42, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (109000 iterations)                            
Info:Quadratic Characters: Total cpu/real time for characters: 241.83/59.8481  
Info:Square Root: Total cpu/real time for sqrt: 7640.33/1145.27                
Info:HTTP server: Shutting down HTTP server                                    
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.22737e+07/153644
1920206360410184537697516142613238345483740507320823125594986791564137883 377797198292053665798911574128071780815463488225185938338924613072225704872511143062837766130108841703698667909429659

==> 37771_230.poly <==
n: 725448583105549155653227353845976158230069052571194455673998694115364344268364070784955956846883043365879872546397976988298121784186582570010419519058800585636900936777286232979952565671897
skew: 0.51
c6: 3400
c0: -61
Y0: -100000000000000000000000000000000000000
Y1: 1
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor @3.4GHz with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:05:01 UTC 2013 年 9 月 24 日 (火) 21 時 5 分 1 秒 (日本時間)
4511e641431000Dmitry DomanovNovember 15, 2013 06:33:09 UTC 2013 年 11 月 15 日 (金) 15 時 33 分 9 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 27, 2018 04:39:06 UTC 2018 年 1 月 27 日 (土) 13 時 39 分 6 秒 (日本時間)
5043e60--
5511e70 / 10080--
6026e73191 / 41950Jason Parker-BurlinghamSeptember 1, 2018 15:37:54 UTC 2018 年 9 月 2 日 (日) 0 時 37 分 54 秒 (日本時間)

34×10231-619

c202

name 名前Jason Parker-Burlingham
date 日付September 11, 2018 12:33:50 UTC 2018 年 9 月 11 日 (火) 21 時 33 分 50 秒 (日本時間)
composite number 合成数
8249249869725981573724879191607034705460003069823935986572845495585875149592307408701395405331040744521420808327332185363571890721582298633735414488179725111485980508063535290308472470105310781340641079<202>
prime factors 素因数
6035389326812459008445995714802967139608829913042198105119<58>
1366813211714173659425114416449855095270066113012543334746871980354785699688518084032469167862261044078294458194320790801685674065436684211044841<145>
factorization results 素因数分解の結果
Info:Square Root: Total cpu/real time for sqrt: 9564.27/1452.01
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: 43.22/6.56589
Info:Generate Free Relations: Total cpu/real time for freerel: 650.46/57.9996
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 87121083
Info:Lattice Sieving: Average J: 15165.4 for 1720124 special-q, max bucket fill -bkmult 1.0,1s:1.140120
Info:Lattice Sieving: Total time: 9.30842e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 494.93/336.815
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 336.29999999999995s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2457.31/1047.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 872.5999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2004.24/864.547
Info:Filtering - Merging: Total cpu/real time for merge: 4872.96/4262.14
Info:Filtering - Merging: Total cpu/real time for replay: 264.66/215.152
Info:Linear Algebra: Total cpu/real time for bwc: 2.29626e+06/153278
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 100160.03, iteration CPU time 0.4, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (221000 iterations)
Info:Linear Algebra: Lingen CPU time 1850.18, WCT time 173.39
Info:Linear Algebra: Mksol: WCT time 51867.59, iteration CPU time 0.41, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (111000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 283.69/67.533
Info:Square Root: Total cpu/real time for sqrt: 9564.27/1452.01
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.82323e+07/380993
6035389326812459008445995714802967139608829913042198105119 1366813211714173659425114416449855095270066113012543334746871980354785699688518084032469167862261044078294458194320790801685674065436684211044841
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor @3.4GHz with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:05:10 UTC 2013 年 9 月 24 日 (火) 21 時 5 分 10 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 25, 2013 13:48:34 UTC 2013 年 10 月 25 日 (金) 22 時 48 分 34 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 27, 2018 00:16:13 UTC 2018 年 1 月 27 日 (土) 9 時 16 分 13 秒 (日本時間)
5043e68880Jason Parker-BurlinghamSeptember 2, 2018 13:12:34 UTC 2018 年 9 月 2 日 (日) 22 時 12 分 34 秒 (日本時間)
5511e78880Jason Parker-BurlinghamSeptember 3, 2018 05:56:54 UTC 2018 年 9 月 3 日 (月) 14 時 56 分 54 秒 (日本時間)
6026e711838 / 37555Jason Parker-BurlinghamSeptember 5, 2018 00:32:01 UTC 2018 年 9 月 5 日 (水) 9 時 32 分 1 秒 (日本時間)

34×10232-619

c195

name 名前Jason Parker-Burlingham
date 日付September 16, 2018 03:45:32 UTC 2018 年 9 月 16 日 (日) 12 時 45 分 32 秒 (日本時間)
composite number 合成数
201549722630690675340956277518371646177348988349562423173783797490460143028181680966688419514757712759918989471124345500778769460680632464353699969394201392473374184231365759511833304707983668701<195>
prime factors 素因数
2648074026154126902555437079925067701763069970144513098224800233741<67>
76111815848066400284394457411517059219456770174979558103451681265945715424330628402638633943007429678838407588571652868296940561<128>
factorization results 素因数分解の結果
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: 37.04/3.42421
Info:Generate Free Relations: Total cpu/real time for freerel: 600.43/38.3333
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 98757010
Info:Lattice Sieving: Average J: 15175.6 for 2737972 special-q, max bucket fill -bkmult 1.0,1s:1.137610
Info:Lattice Sieving: Total time: 1.56169e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 523.43/372.875
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 372.40000000000003s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2590.92/1045.97
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 897.1s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 2435.81/938.946
Info:Filtering - Merging: Total cpu/real time for merge: 8369.78/7260.35
Info:Filtering - Merging: Total cpu/real time for replay: 232.64/194.05
Info:Linear Algebra: Total cpu/real time for bwc: 1.98335e+06/133115
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 87099.46, iteration CPU time 0.37, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (206000 iterations)
Info:Linear Algebra: Lingen CPU time 1584.66, WCT time 151.65
Info:Linear Algebra: Mksol: WCT time 44825.71, iteration CPU time 0.38, COMM 0.04, cpu-wait 0.01, comm-wait 0.0 (103000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 234.04/56.8845
Info:Square Root: Total cpu/real time for sqrt: 6391.6/961.786
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.014e+07/140615
2648074026154126902555437079925067701763069970144513098224800233741 76111815848066400284394457411517059219456770174979558103451681265945715424330628402638633943007429678838407588571652868296940561


$ cat 37771_232.poly
n: 201549722630690675340956277518371646177348988349562423173783797490460143028181680966688419514757712759918989471124345500778769460680632464353699969394201392473374184231365759511833304707983668701
skew: 2.37
c0: -3050
c6: 17
Y0: -1000000000000000000000000000000000000000
Y1: 1
# f(x) = 17*x^6-3050
# g(x) = x-1000000000000000000000000000000000000000
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor @3.4GHz w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:05:20 UTC 2013 年 9 月 24 日 (火) 21 時 5 分 20 秒 (日本時間)
4511e641431000Dmitry DomanovNovember 15, 2013 06:33:26 UTC 2013 年 11 月 15 日 (金) 15 時 33 分 26 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 28, 2018 22:08:56 UTC 2018 年 1 月 29 日 (月) 7 時 8 分 56 秒 (日本時間)

34×10233-619

c201

name 名前Jason Parker-Burlingham
date 日付September 12, 2018 03:09:37 UTC 2018 年 9 月 12 日 (水) 12 時 9 分 37 秒 (日本時間)
composite number 合成数
343363386247628764825292901937432347672982068065719353116223773207005850401602985045813558240830998938546823730258243613746845480815198180437463069933430387302085613988538651329351750278216902135310889<201>
prime factors 素因数
316914565898987699222463842220223484495018257<45>
1083457256922268682156847834523394773641713733602437429777474274682681644071535840935213043516712686971266804417153356216503542053325250358422924194077204377<157>
factorization results 素因数分解の結果
Run 129 out of 821:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2289457926
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35  40  45  50  55  60  65  70  75  80
61  278 1459  8704  57844 419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 228334ms
Using 24 small primes for NTT
Estimated memory usage: 292.87MB
Initializing tables of differences for F took 106ms
Computing roots of F took 4582ms
Building F from its roots took 3949ms
Computing 1/F took 1840ms
Initializing table of differences for G took 142ms
Computing roots of G took 3676ms
Building G from its roots took 4098ms
Computing roots of G took 3676ms
Building G from its roots took 4097ms
Computing G * H took 912ms
Reducing  G * H mod F took 1013ms
Computing roots of G took 3690ms
Building G from its roots took 4106ms
Computing G * H took 916ms
Reducing  G * H mod F took 1014ms
Computing roots of G took 3661ms
Building G from its roots took 4134ms
Computing G * H took 927ms
Reducing  G * H mod F took 1019ms
Computing roots of G took 3689ms
Building G from its roots took 4132ms
Computing G * H took 929ms
Reducing  G * H mod F took 1010ms
Computing polyeval(F,G) took 8162ms
Computing product of all F(g_i) took 52ms
Step 2 took 66064ms
********** Factor found in step 2: 316914565898987699222463842220223484495018257
Found prime factor of 45 digits: 316914565898987699222463842220223484495018257
Prime cofactor 1083457256922268682156847834523394773641713733602437429777474274682681644071535840935213043516712686971266804417153356216503542053325250358422924194077204377 has 157 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
3.7 GHz Quad-Core Intel Xeon E5

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:05:29 UTC 2013 年 9 月 24 日 (火) 21 時 5 分 29 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 25, 2013 13:48:53 UTC 2013 年 10 月 25 日 (金) 22 時 48 分 53 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 29, 2018 13:31:12 UTC 2018 年 1 月 29 日 (月) 22 時 31 分 12 秒 (日本時間)

34×10235-619

c236

name 名前matsui
date 日付May 5, 2016 15:33:36 UTC 2016 年 5 月 6 日 (金) 0 時 33 分 36 秒 (日本時間)
composite number 合成数
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<236>
prime factors 素因数
3380748994968333957123804301900685496466615799415481997<55>
11174381130927948766508379714310349708364862386480932354256341257137701617948309267292124414937405778788829379448498322602392634524054950988953349096683073725985838644712170949782743<182>
factorization results 素因数分解の結果
N=37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
  ( 236 digits)
SNFS difficulty: 236 digits.
Divisors found:
 r1=3380748994968333957123804301900685496466615799415481997 (pp55)
 r2=11174381130927948766508379714310349708364862386480932354256341257137701617948309267292124414937405778788829379448498322602392634524054950988953349096683073725985838644712170949782743 (pp182)
Version: Msieve v. 1.53 (SVN unknown)
Total time:
Scaled time: 193.71 units (timescale=1.922).
Factorization parameters were as follows:
n: 37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771
m: 1000000000000000000000000000000000000000
deg: 6
c6: 340
c0: -61
skew: 0.75
# Murphy_E = 4.664e-13
type: snfs
lss: 1
rlim: 61000000
alim: 61000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
Factor base limits: 61000000/61000000
Large primes per side: 3
Large prime bits: 30/30
Max factor residue bits: 60/60
Sieved rational special-q in [30500000, 91800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 11352079 x 11352305
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,236.000,6,0,0,0,0,0,0,0,0,61000000,61000000,30,30,60,60,2.7,2.7,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
800JPascoaAugust 21, 2013 14:48:36 UTC 2013 年 8 月 21 日 (水) 23 時 48 分 36 秒 (日本時間)
403e62200JPascoaAugust 21, 2013 16:50:08 UTC 2013 年 8 月 22 日 (木) 1 時 50 分 8 秒 (日本時間)
4511e63810560JPascoaAugust 21, 2013 18:40:41 UTC 2013 年 8 月 22 日 (木) 3 時 40 分 41 秒 (日本時間)
2000Dmitry DomanovSeptember 24, 2013 12:05:46 UTC 2013 年 9 月 24 日 (火) 21 時 5 分 46 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:50 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 50 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:29 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 29 秒 (日本時間)
5043e6500 / 1788Serge BatalovJanuary 11, 2015 01:24:41 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 41 秒 (日本時間)
5511e72000 / 17334Serge BatalovJanuary 28, 2014 06:04:00 UTC 2014 年 1 月 28 日 (火) 15 時 4 分 0 秒 (日本時間)

34×10237-619

c208

name 名前Jason Parker-Burlingham
date 日付November 16, 2018 13:23:45 UTC 2018 年 11 月 16 日 (金) 22 時 23 分 45 秒 (日本時間)
composite number 合成数
3887007827586275655005858574024015574090699941257684472875087988375003090604575019278592383750432980052588136324431488205504260620647681733571121180005432973023957168997254243347623481838322124393116703127677<208>
prime factors 素因数
1968251739379505724115202096555887175043189645086935689090461<61>
1974852987459653219683456737722768022080385838615680387853395855493416659000678567835825037262326934964371336452750368765176543432002765625133967457<148>
factorization results 素因数分解の結果
# 73: curve 82 found factor 1968251739379505724115202096555887175043189645086935689090461 using sigma -1:2444919079
# factorization after 7968 curves: 1974852987459653219683456737722768022080385838615680387853395855493416659000678567835825037262326934964371336452750368765176543432002765625133967457 (probably prime) * 1968251739379505724115202096555887175043189645086935689090461 (probably prime)
# 7968 curves done (50.5%)
# 00: target = 1
# final factorization: 1974852987459653219683456737722768022080385838615680387853395855493416659000678567835825037262326934964371336452750368765176543432002765625133967457 (probably prime) * 1968251739379505724115202096555887175043189645086935689090461 (probably prime)
# Status: composite, fully factored
Results: 3887007827586275655005858574024015574090699941257684472875087988375003090604575019278592383750432980052588136324431488205504260620647681733571121180005432973023957168997254243347623481838322124393116703127677 = 1974852987459653219683456737722768022080385838615680387853395855493416659000678567835825037262326934964371336452750368765176543432002765625133967457 * 1968251739379505724115202096555887175043189645086935689090461
software ソフトウェア
ecmpi v0.1, GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:06:23 UTC 2013 年 9 月 24 日 (火) 21 時 6 分 23 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 25, 2013 13:49:06 UTC 2013 年 10 月 25 日 (金) 22 時 49 分 6 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 29, 2018 13:32:29 UTC 2018 年 1 月 29 日 (月) 22 時 32 分 29 秒 (日本時間)
5043e63282Jason Parker-BurlinghamSeptember 15, 2018 14:03:38 UTC 2018 年 9 月 15 日 (土) 23 時 3 分 38 秒 (日本時間)
5511e7124401562Jason Parker-BurlinghamSeptember 15, 2018 14:04:11 UTC 2018 年 9 月 15 日 (土) 23 時 4 分 11 秒 (日本時間)
10878Jason Parker-BurlinghamNovember 11, 2018 22:23:37 UTC 2018 年 11 月 12 日 (月) 7 時 23 分 37 秒 (日本時間)
6026e721640 / 294561672Jason Parker-BurlinghamSeptember 19, 2018 23:02:19 UTC 2018 年 9 月 20 日 (木) 8 時 2 分 19 秒 (日本時間)
12000Jason Parker-BurlinghamNovember 13, 2018 18:57:09 UTC 2018 年 11 月 14 日 (水) 3 時 57 分 9 秒 (日本時間)
7968Jason Parker-BurlinghamNovember 16, 2018 13:20:50 UTC 2018 年 11 月 16 日 (金) 22 時 20 分 50 秒 (日本時間)
6585e72400 / 62166Jason Parker-BurlinghamNovember 15, 2018 00:47:19 UTC 2018 年 11 月 15 日 (木) 9 時 47 分 19 秒 (日本時間)

34×10238-619

c230

name 名前Jason Parker-Burlingham
date 日付January 3, 2019 13:50:21 UTC 2019 年 1 月 3 日 (木) 22 時 50 分 21 秒 (日本時間)
composite number 合成数
15829259695581473984062810731903219582373184154929872230653051212182795602112438226792989490704525470207725116522210292924318127331975936976006998832311314317854376411844523782360766631444454827926681638093153831340370108100798083<230>
prime factors 素因数
7371992188931845872554073571290435823894802131758191838401070375664086095536914619020667<88>
2147216015685311195878392946127437603083378856503802957165462022468311622628036835631166294082228640505691585993832017050551919172250621956249<142>
factorization results 素因数分解の結果
Info:Linear Algebra: mksol: N=137000 ; ETA (N=137000): Thu Jan  3 02:59:27 2019 [0.574 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 300351/40160.7
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: WCT time 40151.77, iteration CPU time 0.52, COMM 0.03, cpu-wait 0.02, comm-wait 0.0 (137000 iterations)
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 273.44/87.329
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 7371992188931845872554073571290435823894802131758191838401070375664086095536914619020667 2147216015685311195878392946127437603083378856503802957165462022468311622628036835631166294082228640505691585993832017050551919172250621956249
Info:Square Root: Total cpu/real time for sqrt: 9990.7/1501.73
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: 45.95/4.207
Info:Generate Free Relations: Total cpu/real time for freerel: 601.8/38.374
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 91039923
Info:Lattice Sieving: Average J: 30345.1 for 1572350 special-q, max bucket fill -bkmult 1.0,1s:1.097910
Info:Lattice Sieving: Total time: 1.0307e+08s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 712.84/580.722
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 579.2999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 4901.87/2764.25
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2429.7999999999997s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 4264.22/2136.42
Info:Filtering - Merging: Total cpu/real time for merge: 14091.2/12832.2
Info:Filtering - Merging: Total cpu/real time for replay: 448.38/375.022
Info:Linear Algebra: Total cpu/real time for bwc: 300351/40160.7
Warning:Linear Algebra: some stats could not be displayed for linalg (see log file for debug info)
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Mksol: WCT time 40151.77, iteration CPU time 0.52, COMM 0.03, cpu-wait 0.02, comm-wait 0.0 (137000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 273.44/87.329
Info:Square Root: Total cpu/real time for sqrt: 9990.7/1501.73
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.04228e+08/252440
7371992188931845872554073571290435823894802131758191838401070375664086095536914619020667 2147216015685311195878392946127437603083378856503802957165462022468311622628036835631166294082228640505691585993832017050551919172250621956249
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:08:26 UTC 2013 年 9 月 24 日 (火) 21 時 8 分 26 秒 (日本時間)
4511e641431000Dmitry DomanovNovember 15, 2013 06:33:54 UTC 2013 年 11 月 15 日 (金) 15 時 33 分 54 秒 (日本時間)
3143Jason Parker-BurlinghamJanuary 30, 2018 14:23:11 UTC 2018 年 1 月 30 日 (火) 23 時 23 分 11 秒 (日本時間)
5043e613152Jason Parker-BurlinghamNovember 16, 2018 23:36:19 UTC 2018 年 11 月 17 日 (土) 8 時 36 分 19 秒 (日本時間)
5511e721504Jason Parker-BurlinghamNovember 18, 2018 15:08:01 UTC 2018 年 11 月 19 日 (月) 0 時 8 分 1 秒 (日本時間)
6026e732352Jason Parker-BurlinghamNovember 24, 2018 14:39:54 UTC 2018 年 11 月 24 日 (土) 23 時 39 分 54 秒 (日本時間)
6585e716320 / 58117Jason Parker-BurlinghamDecember 3, 2018 15:11:41 UTC 2018 年 12 月 4 日 (火) 0 時 11 分 41 秒 (日本時間)

34×10240-619

c199

name 名前Dmitry Domanov
date 日付September 9, 2013 07:44:01 UTC 2013 年 9 月 9 日 (月) 16 時 44 分 1 秒 (日本時間)
composite number 合成数
2860875753931603606877390646076762962874636664912791879156103962385792144633565846832495414696799512099892527527627803560217964092611478046945943572926201464618443748273630375211471188385174717651027<199>
prime factors 素因数
247097298048767763388488824395669<33>
11577932160824250497188109515814455749791963295280795395090249658688304263708056559476853174849226803966492980708566455931941875469753668287525259461821365876376704583<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3135287845
Step 1 took 26801ms
Step 2 took 9945ms
********** Factor found in step 2: 247097298048767763388488824395669
Found probable prime factor of 33 digits: 247097298048767763388488824395669

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10241-619

c241

name 名前Dmitry Domanov
date 日付September 9, 2013 07:40:52 UTC 2013 年 9 月 9 日 (月) 16 時 40 分 52 秒 (日本時間)
composite number 合成数
1218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541218637992831541<241>
prime factors 素因数
1894649923040434143140325415207121867<37>
composite cofactor 合成数の残り
643199557877127676449912182337359429427351672904826477565430220498609802452713138631818020585896657170594680348602091199299722753181973405382088593797373321035373296966080168992094956747311448967806605823<204>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2405215450
Step 1 took 35006ms
Step 2 took 12602ms
********** Factor found in step 2: 1894649923040434143140325415207121867
Found probable prime factor of 37 digits: 1894649923040434143140325415207121867

c204

name 名前Jason Parker-Burlingham
date 日付January 29, 2020 17:38:02 UTC 2020 年 1 月 30 日 (木) 2 時 38 分 2 秒 (日本時間)
composite number 合成数
643199557877127676449912182337359429427351672904826477565430220498609802452713138631818020585896657170594680348602091199299722753181973405382088593797373321035373296966080168992094956747311448967806605823<204>
prime factors 素因数
67174858244476369902548930792065974486100990312927695772094233<62>
composite cofactor 合成数の残り
9575004319864217331554074068445191931977749110377595207695863927343528099992741369863793470649196790683771834428584634748139770744593673686231<142>
factorization results 素因数分解の結果
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
Running on eeffc735575c
Input number is 643199557877127676449912182337359429427351672904826477565430220498609802452713138631818020585896657170594680348602091199299722753181973405382088593797373321035373296966080168992094956747311448967806605823 (204 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Computing batch product (of 375102575 bits) of primes up to B1=260000000 took 10923ms
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=1:2419954659
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
25      91      373     1709    8656    47888   288516  1857217 1.3e+07 9.3e+07
Step 1 took 492852ms
********** Factor found in step 1: 67174858244476369902548930792065974486100990312927695772094233
Found prime factor of 62 digits: 67174858244476369902548930792065974486100990312927695772094233
Composite cofactor 9575004319864217331554074068445191931977749110377595207695863927343528099992741369863793470649196790683771834428584634748139770744593673686231 has 142 digits
Peak memory usage: 321MB
software ソフトウェア
GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64 GB RAM

c142

name 名前Eric Jeancolas
date 日付February 12, 2020 22:08:13 UTC 2020 年 2 月 13 日 (木) 7 時 8 分 13 秒 (日本時間)
composite number 合成数
9575004319864217331554074068445191931977749110377595207695863927343528099992741369863793470649196790683771834428584634748139770744593673686231<142>
prime factors 素因数
85038132182589447289915642027404078806454668299577425859<56>
112596597245401238044493074474922644923058300519571463108690065938826948938046387036509<87>
factorization results 素因数分解の結果
9575004319864217331554074068445191931977749110377595207695863927343528099992741369863793470649196790683771834428584634748139770744593673686231=85038132182589447289915642027404078806454668299577425859*112596597245401238044493074474922644923058300519571463108690065938826948938046387036509

Info:Square Root: Factors: 85038132182589447289915642027404078806454668299577425859 112596597245401238044493074474922644923058300519571463108690065938826948938046387036509
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66693/42.650/51.133/57.020/0.938
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66693/41.070/46.036/51.860/1.475
Info:Polynomial Selection (size optimized): Total time: 46064.9
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 9060.14
Info:Polynomial Selection (root optimized): Rootsieve time: 9057.96
Info:Generate Factor Base: Total cpu/real time for makefb: 23.53/14.3643
Info:Generate Free Relations: Total cpu/real time for freerel: 877.7/486.541
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 34749098
Info:Lattice Sieving: Average J: 3788.44 for 1265716 special-q, max bucket fill -bkmult 1.0,1s:1.133390
Info:Lattice Sieving: Total time: 2.17954e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 175.33/680.287
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 677.5s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1305.29/1952.18
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1753.8000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 963.01/1596.68
Info:Filtering - Merging: Total cpu/real time for merge: 2154.89/2165.97
Info:Filtering - Merging: Total cpu/real time for replay: 201.04/229.698
Info:Linear Algebra: Total cpu/real time for bwc: 194902/56543.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 46664.9, iteration CPU time 0.57, COMM 0.02, cpu-wait 0.09, comm-wait 0.0 (69000 iterations)
Info:Linear Algebra: Lingen CPU time 832.09, WCT time 180.8
Info:Linear Algebra: Mksol: WCT time 8093.68, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.02, comm-wait 0.0 (35000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 94.07/22.3942
Info:Square Root: Total cpu/real time for sqrt: 9175.75/10374.5
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.99814e+06/444284
Info:root: Cleaning up computation data in /tmp/cado.35f3bybg
85038132182589447289915642027404078806454668299577425859 112596597245401238044493074474922644923058300519571463108690065938826948938046387036509
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 20, 2013 13:24:28 UTC 2013 年 9 月 20 日 (金) 22 時 24 分 28 秒 (日本時間)
4511e641431500Dmitry DomanovSeptember 20, 2013 13:24:28 UTC 2013 年 9 月 20 日 (金) 22 時 24 分 28 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 29, 2018 13:35:34 UTC 2018 年 1 月 29 日 (月) 22 時 35 分 34 秒 (日本時間)
5043e64800Jason Parker-BurlinghamApril 1, 2019 18:46:08 UTC 2019 年 4 月 2 日 (火) 3 時 46 分 8 秒 (日本時間)
5511e7768 / 2097Jason Parker-BurlinghamJanuary 29, 2020 15:13:50 UTC 2020 年 1 月 30 日 (木) 0 時 13 分 50 秒 (日本時間)
6026e75888 / 41098Jason Parker-BurlinghamJanuary 31, 2020 02:48:37 UTC 2020 年 1 月 31 日 (金) 11 時 48 分 37 秒 (日本時間)

34×10243-619

c204

name 名前Jason Parker-Burlingham
date 日付December 31, 2020 14:46:14 UTC 2020 年 12 月 31 日 (木) 23 時 46 分 14 秒 (日本時間)
composite number 合成数
656575206933469333862823431656644899998015213299779275402310539952467094778814642561663711976835882984611042036405037781940667025339597921821153850202040762242490300705041554384165620745284131150547484237<204>
prime factors 素因数
20241459317198267431669025892326080227689200074191<50>
composite cofactor 合成数の残り
32437147769064584775756972336549567250115785057155736802269623924389504348871885291597528287316183162221641587348138690477977389253747127349363726131823907<155>
factorization results 素因数分解の結果
GPU: Block: 32x32x1 Grid: 92x1x1 (2944 parallel curves)
GPU: factor 20241459317198267431669025892326080227689200074191 found in Step 1 with curve 1033 (-sigma 3:3499634795)
Computing 2944 Step 1 took 678408ms of CPU time / 37596792ms of GPU time
Throughput: 0.078 curves per second (on average 12770.65ms per Step 1)
********** Factor found in step 1: 20241459317198267431669025892326080227689200074191
Found prime factor of 50 digits: 20241459317198267431669025892326080227689200074191
Composite cofactor 32437147769064584775756972336549567250115785057155736802269623924389504348871885291597528287316183162221641587348138690477977389253747127349363726131823907 has 155 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

c155

name 名前Jason Parker-Burlingham
date 日付April 17, 2021 21:12:05 UTC 2021 年 4 月 18 日 (日) 6 時 12 分 5 秒 (日本時間)
composite number 合成数
32437147769064584775756972336549567250115785057155736802269623924389504348871885291597528287316183162221641587348138690477977389253747127349363726131823907<155>
prime factors 素因数
607734408560447692390551986317550712682404436438060903577380185258847<69>
53373887198355425124333342776819589121489503346873002732811976176981805189178234785981<86>
factorization results 素因数分解の結果
Info:Generate Factor Base: Total cpu/real time for makefb: 47.31/1.56229
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 550.88/304.11
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 302.0s
Info:Square Root: Total cpu/real time for sqrt: 17367.6/602.119
Info:Linear Algebra: Total cpu/real time for bwc: 810786/33224.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 512214.71, WCT time 21454.46, iteration CPU time 0.12, COMM 0.01, cpu-wait 0.04, comm-wait 0.0 (123392 iterations)
Info:Linear Algebra: Lingen CPU time 32492.23, WCT time 535.33
Info:Linear Algebra: Mksol: CPU time 262090.45,  WCT time 11015.08, iteration CPU time 0.13, COMM 0.01, cpu-wait 0.03, comm-wait 0.0 (61952 iterations)
Info:Generate Free Relations: Total cpu/real time for freerel: 615.61/14.1342
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2256.18/1166.1
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 912.1000000000001s
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 12722.7
Info:Polynomial Selection (root optimized): Rootsieve time: 12720.6
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 99634.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 101018/45.970/55.834/60.960/0.848
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 80998/45.720/50.366/56.650/1.447
Info:Polynomial Selection (size optimized): Total time: 149591
Info:Filtering - Merging: Total cpu/real time for merge: 5984.95/144.384
Info:Filtering - Merging: Total cpu/real time for replay: 145.82/120.447
Info:Quadratic Characters: Total cpu/real time for characters: 192.86/27.289
Info:Filtering - Singleton removal: Total cpu/real time for purge: 3949.28/805.312
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49580465
Info:Lattice Sieving: Average J: 7622.62 for 1943764 special-q, max bucket fill -bkmult 1.0,1s:1.226760
Info:Lattice Sieving: Total time: 3.72924e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 8.2011e+06/154611
607734408560447692390551986317550712682404436438060903577380185258847 53373887198355425124333342776819589121489503346873002732811976176981805189178234785981

$ cat 37771_243.poly
n: 32437147769064584775756972336549567250115785057155736802269623924389504348871885291597528287316183162221641587348138690477977389253747127349363726131823907
skew: 816125.529
c0: 173718566945351556375479374001674724
c1: 2986650378575429038210748264994
c2: 3434792021140366818636883
c3: -10021632756071763789
c4: -140955344052
c5: 2535840
Y0: -551818614430855752024807966783
Y1: 21187841764335133531
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.076e+15) = 3.131e-08
# f(x) = 2535840*x^5-140955344052*x^4-10021632756071763789*x^3+3434792021140366818636883*x^2+2986650378575429038210748264994*x+173718566945351556375479374001674724
# g(x) = 21187841764335133531*x-551818614430855752024807966783
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 110GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:08:43 UTC 2013 年 9 月 24 日 (火) 21 時 8 分 43 秒 (日本時間)
4511e641431500Dmitry DomanovOctober 25, 2013 13:49:29 UTC 2013 年 10 月 25 日 (金) 22 時 49 分 29 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 29, 2018 13:33:14 UTC 2018 年 1 月 29 日 (月) 22 時 33 分 14 秒 (日本時間)
5043e66592Jason Parker-BurlinghamFebruary 7, 2020 13:35:08 UTC 2020 年 2 月 7 日 (金) 22 時 35 分 8 秒 (日本時間)

34×10245-619

c244

name 名前Dmitry Domanov
date 日付September 9, 2013 07:43:00 UTC 2013 年 9 月 9 日 (月) 16 時 43 分 0 秒 (日本時間)
composite number 合成数
1694070752366716492277030393622321873442949676133532635774788241155954160438465371200797209765819631290483308420528151469855505729945191828599900348779272546088689586447433981066268061783756851021425012456402590931738913801694070752366716492277<244>
prime factors 素因数
1021253658403818624203014471<28>
1658814867811084163137512181170897703010665075279994003192632256346161000777946608407185369767946314064346918722921937956331003731878178501030768936878922403336905135947571918401780845912162239644900178254686479452387<217>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1612790347
Step 1 took 35031ms
Step 2 took 12626ms
********** Factor found in step 2: 1021253658403818624203014471
Found probable prime factor of 28 digits: 1021253658403818624203014471

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10246-619

c219

name 名前Dmitry Domanov
date 日付September 9, 2013 07:41:22 UTC 2013 年 9 月 9 日 (月) 16 時 41 分 22 秒 (日本時間)
composite number 合成数
193583741497634115085165509090030447219140827321065759928571627001097459455785299418108878800638758930403026767854917322561427963671016708774569137018193936244062404033218989876214895884436064134335080650269295365058091<219>
prime factors 素因数
685075564504913756904392677514982851<36>
282572830688439509927048939983296729640456364593097466827413730474153551491871018969628905821286052792692679659398585529211257772792768469882183919755077739119375704525908649402341241<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=522203937
Step 1 took 30709ms
Step 2 took 11074ms
********** Factor found in step 2: 685075564504913756904392677514982851
Found probable prime factor of 36 digits: 685075564504913756904392677514982851

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)

34×10247-619

c226

composite cofactor 合成数の残り
3028868088184684768406801698865482856173622097101826806762951856965180107813218579897245217920772700234815422214928610305359266846275490201202444289639721499353118559030105522651329760322326070601980612118432362486502097609589<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:08:53 UTC 2013 年 9 月 24 日 (火) 21 時 8 分 53 秒 (日本時間)
4511e641431500Dmitry DomanovNovember 21, 2013 09:21:39 UTC 2013 年 11 月 21 日 (木) 18 時 21 分 39 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 29, 2018 22:34:02 UTC 2018 年 1 月 30 日 (火) 7 時 34 分 2 秒 (日本時間)
5043e64546 / 6566Jason Parker-BurlinghamJanuary 3, 2021 03:58:48 UTC 2021 年 1 月 3 日 (日) 12 時 58 分 48 秒 (日本時間)

34×10248-619

c238

name 名前Dmitry Domanov
date 日付November 22, 2013 15:42:27 UTC 2013 年 11 月 23 日 (土) 0 時 42 分 27 秒 (日本時間)
composite number 合成数
4869376566882525527362827350506869814425969629587190215344671759697918437684837360152092349780127327595581019187341502817554817805812920167847809033738091037140140803044589307037034533924465033884823959847475102410987618005729399448598623<238>
prime factors 素因数
163553036976362733903015168971895141134443<42>
composite cofactor 合成数の残り
29772461929803633865630672217404806770105676842703718373144300622646109980505710156983525356113382275231020058534860389142820667022981570538418787516158873181173641943303919062427391889348978263261<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2680138152
Step 1 took 101324ms
Step 2 took 30536ms
********** Factor found in step 2: 163553036976362733903015168971895141134443
Found probable prime factor of 42 digits: 163553036976362733903015168971895141134443

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:09:02 UTC 2013 年 9 月 24 日 (火) 21 時 9 分 2 秒 (日本時間)
4511e641431500Dmitry DomanovNovember 21, 2013 09:21:53 UTC 2013 年 11 月 21 日 (木) 18 時 21 分 53 秒 (日本時間)
2643Jason Parker-BurlinghamJanuary 30, 2018 14:23:54 UTC 2018 年 1 月 30 日 (火) 23 時 23 分 54 秒 (日本時間)
5043e66968Jason Parker-BurlinghamFebruary 16, 2019 20:42:04 UTC 2019 年 2 月 17 日 (日) 5 時 42 分 4 秒 (日本時間)
5511e72310 / 15012248Jason Parker-BurlinghamFebruary 17, 2019 03:37:02 UTC 2019 年 2 月 17 日 (日) 12 時 37 分 2 秒 (日本時間)
2062Jason Parker-BurlinghamJanuary 3, 2021 03:49:27 UTC 2021 年 1 月 3 日 (日) 12 時 49 分 27 秒 (日本時間)

34×10249-619

c217

name 名前Dmitry Domanov
date 日付November 26, 2013 09:35:32 UTC 2013 年 11 月 26 日 (火) 18 時 35 分 32 秒 (日本時間)
composite number 合成数
1841952078689379636279705228250228534582524105684268925474356707966249884388263189538712568497762054957487452841798712468049859962491676259682387165588245131174554220448525815571267781940463457169948795529154518119753<217>
prime factors 素因数
1511602168208502503214980253013544735411<40>
1218542892719184293253098964597439271184768711070473324524480076095929414496530769263279887322962724335745703037721023137679855348096439375008202504736035145097169980382512162323<178>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2599268453
Step 1 took 89299ms
Step 2 took 31152ms
********** Factor found in step 2: 1511602168208502503214980253013544735411
Found probable prime factor of 40 digits: 1511602168208502503214980253013544735411

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 24, 2013 12:09:11 UTC 2013 年 9 月 24 日 (火) 21 時 9 分 11 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovNovember 21, 2013 09:22:06 UTC 2013 年 11 月 21 日 (木) 18 時 22 分 6 秒 (日本時間)

34×10250-619

c245

composite cofactor 合成数の残り
50090996187633210742986487069819629689051301577704320805133207428141151123504212873769069016111179617914720668296391960277250717369362313626504147902800484468329010038382962461070824690794910224412082714378045882468549115768689797804747359431037<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJune 9, 2013 12:00:00 UTC 2013 年 6 月 9 日 (日) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovSeptember 9, 2013 07:44:15 UTC 2013 年 9 月 9 日 (月) 16 時 44 分 15 秒 (日本時間)
4511e61500Dmitry DomanovSeptember 9, 2013 07:44:15 UTC 2013 年 9 月 9 日 (月) 16 時 44 分 15 秒 (日本時間)
5043e64900 / 7159800Dmitry DomanovSeptember 12, 2013 15:25:18 UTC 2013 年 9 月 13 日 (金) 0 時 25 分 18 秒 (日本時間)
4100Jason Parker-BurlinghamJanuary 3, 2021 04:03:59 UTC 2021 年 1 月 3 日 (日) 13 時 3 分 59 秒 (日本時間)

34×10252-619

c220

composite cofactor 合成数の残り
4072683804596096965141596794139016729046990097333092711927934921567783463484289755223375554918739555054509251670121639138673010347711539461554349669216648390998338338269892157930381697732103554481360626175539302094192811<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:36:34 UTC 2017 年 5 月 23 日 (火) 15 時 36 分 34 秒 (日本時間)
4511e630001000Dmitry DomanovMay 26, 2017 16:48:14 UTC 2017 年 5 月 27 日 (土) 1 時 48 分 14 秒 (日本時間)
2000Jason Parker-BurlinghamJuly 31, 2018 16:22:45 UTC 2018 年 8 月 1 日 (水) 1 時 22 分 45 秒 (日本時間)
5043e65337 / 6181400Dmitry DomanovJune 21, 2017 14:17:02 UTC 2017 年 6 月 21 日 (水) 23 時 17 分 2 秒 (日本時間)
400Jason Parker-BurlinghamJuly 31, 2018 18:25:34 UTC 2018 年 8 月 1 日 (水) 3 時 25 分 34 秒 (日本時間)
4537Jason Parker-BurlinghamJanuary 3, 2021 04:00:21 UTC 2021 年 1 月 3 日 (日) 13 時 0 分 21 秒 (日本時間)
5511e7272 / 15669Jason Parker-BurlinghamJuly 31, 2018 21:39:01 UTC 2018 年 8 月 1 日 (水) 6 時 39 分 1 秒 (日本時間)

34×10253-619

c245

composite cofactor 合成数の残り
37904479071031122747135120747739848137936506828518605007249445113738881709507417618758869255819133838044114422720541327083128215056451580483927637041953151353289396519184440088887577572287050369835356823758644138330836934865595455831426327497107<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 07:45:43 UTC 2017 年 5 月 24 日 (水) 16 時 45 分 43 秒 (日本時間)
4511e61000Dmitry DomanovMay 27, 2017 20:36:12 UTC 2017 年 5 月 28 日 (日) 5 時 36 分 12 秒 (日本時間)
5043e615281Jason Parker-BurlinghamSeptember 5, 2018 18:42:39 UTC 2018 年 9 月 6 日 (木) 3 時 42 分 39 秒 (日本時間)
5511e74207 / 122452610Jason Parker-BurlinghamSeptember 9, 2018 04:18:31 UTC 2018 年 9 月 9 日 (日) 13 時 18 分 31 秒 (日本時間)
1597Jason Parker-BurlinghamJanuary 3, 2021 04:14:53 UTC 2021 年 1 月 3 日 (日) 13 時 14 分 53 秒 (日本時間)

34×10254-619

c176

name 名前Jason Parker-Burlingham
date 日付September 12, 2018 14:56:23 UTC 2018 年 9 月 12 日 (水) 23 時 56 分 23 秒 (日本時間)
composite number 合成数
41729145019770480653281522519329754709208335098235744164570665895220443067537508069899020137380589917712633261313970204189515928275575811096886287253607480556631376353673495949<176>
prime factors 素因数
14030978091575687081213536113821195131819846779173899121<56>
2974072423705443414077444783096411220422792557675238782756104986540533183266754793327814908313450433176644578217018504669<121>
factorization results 素因数分解の結果
Run 5 out of 944:
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:1404369938
Step 1 took 355071ms
Step 2 took 109864ms
********** Factor found in step 2: 14030978091575687081213536113821195131819846779173899121
Found prime factor of 56 digits: 14030978091575687081213536113821195131819846779173899121
Prime cofactor 2974072423705443414077444783096411220422792557675238782756104986540533183266754793327814908313450433176644578217018504669 has 121 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
1 * AMD Ryzen 7 1700X Eight-Core Processor @3.4GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:29:45 UTC 2017 年 5 月 22 日 (月) 23 時 29 分 45 秒 (日本時間)
4511e61200Dmitry DomanovMay 23, 2017 13:56:22 UTC 2017 年 5 月 23 日 (火) 22 時 56 分 22 秒 (日本時間)
5043e672401000Dmitry DomanovMay 27, 2017 20:51:01 UTC 2017 年 5 月 28 日 (日) 5 時 51 分 1 秒 (日本時間)
6240Jason Parker-BurlinghamSeptember 12, 2018 13:51:47 UTC 2018 年 9 月 12 日 (水) 22 時 51 分 47 秒 (日本時間)

34×10255-619

c251

name 名前Jason Parker-Burlingham
date 日付October 22, 2018 01:47:48 UTC 2018 年 10 月 22 日 (月) 10 時 47 分 48 秒 (日本時間)
composite number 合成数
16305523304189608298168554030989126613827179676795753658072217162714255775152588525803250841772640578788528392951601849813661438828150814580782597978211025123454392252382644592824706512569879957778286126445496630271779503285802732901620625144171998333<251>
prime factors 素因数
689073815974168598657716240972721368395263898587338210168417<60>
composite cofactor 合成数の残り
23662955878156391315269428846558838507293296357660535417220393857360370768865753735109153575259801122025344047668172068923729629983298439419490658134998810605512544414399653796835562442062749<191>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
Input number is 16305523304189608298168554030989126613827179676795753658072217162714255775152588525803250841772640578788528392951601849813661438828150814580782597978211025123454392252382644592824706512569879957778286126445496630271779503285802732901620625144171998333 (251 digits)                                       
Using B1=850000000, B2=15892628251516, polynomial Dickson(30), sigma=1:347728945
Step 1 took 2273797ms
Step 2 took 422295ms
********** Factor found in step 2: 689073815974168598657716240972721368395263898587338210168417
Found prime factor of 60 digits: 689073815974168598657716240972721368395263898587338210168417
Composite cofactor 23662955878156391315269428846558838507293296357660535417220393857360370768865753735109153575259801122025344047668172068923729629983298439419490658134998810605512544414399653796835562442062749 has 191 digits              
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM

c191

name 名前Jason Parker-Burlingham
date 日付February 1, 2019 02:58:07 UTC 2019 年 2 月 1 日 (金) 11 時 58 分 7 秒 (日本時間)
composite number 合成数
23662955878156391315269428846558838507293296357660535417220393857360370768865753735109153575259801122025344047668172068923729629983298439419490658134998810605512544414399653796835562442062749<191>
prime factors 素因数
75824835441923325822188599095706629593909217079803528162941313111595616807051026803657302059<92>
312073949653087060223882520791633750786454119294989569324536401102139884282412308031192400107693911<99>
factorization results 素因数分解の結果
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: 99.59/21.3723
Info:Generate Free Relations: Total cpu/real time for freerel: 1360.09/193.008
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 186643490
Info:Lattice Sieving: Average J: 15171.8 for 7107954 special-q, max bucket fill -bkmult 1.1
Info:Lattice Sieving: Total time: 3.35592e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1046.05/799.656
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 799.0999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 5185.82/1825.88
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1571.6s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 4031.2/1504.99
Info:Filtering - Merging: Total cpu/real time for merge: 9195.7/8388.62
Info:Filtering - Merging: Total cpu/real time for replay: 509.53/424.943
Info:Linear Algebra: Total cpu/real time for bwc: 1.30761e+07/337028
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 57286.47, iteration CPU time 1.11, COMM 0.08, cpu-wait 0.06, comm-wait 0.0 (439000 iterations)
Info:Linear Algebra: Lingen CPU time 4032.75, WCT time 371.7
Info:Linear Algebra: Mksol: WCT time 279341.15, iteration CPU time 1.13, COMM 0.08, cpu-wait 0.06, comm-wait 0.0 (220000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 513.59/126.766
Info:Square Root: Total cpu/real time for sqrt: 18426/2744.89
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 6.74113e+07/1.27886e+06
75824835441923325822188599095706629593909217079803528162941313111595616807051026803657302059 312073949653087060223882520791633750786454119294989569324536401102139884282412308031192400107693911

$ cat 37771_255.poly 
n: 23662955878156391315269428846558838507293296357660535417220393857360370768865753735109153575259801122025344047668172068923729629983298439419490658134998810605512544414399653796835562442062749
skew: 0.35
c0: -61
c6: 34000
Y0: -1000000000000000000000000000000000000000000
Y1: 1
# f(x) = 34000*x^6-61
# g(x) = x-1000000000000000000000000000000000000000000
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:37:41 UTC 2017 年 5 月 25 日 (木) 23 時 37 分 41 秒 (日本時間)
4511e642181000Dmitry DomanovMay 27, 2017 20:36:25 UTC 2017 年 5 月 28 日 (日) 5 時 36 分 25 秒 (日本時間)
3218Jason Parker-BurlinghamOctober 18, 2018 12:34:45 UTC 2018 年 10 月 18 日 (木) 21 時 34 分 45 秒 (日本時間)
5043e66564Jason Parker-BurlinghamOctober 18, 2018 18:04:01 UTC 2018 年 10 月 19 日 (金) 3 時 4 分 1 秒 (日本時間)
5511e7151553840Jason Parker-BurlinghamOctober 19, 2018 02:18:52 UTC 2018 年 10 月 19 日 (金) 11 時 18 分 52 秒 (日本時間)
11315Jason Parker-BurlinghamOctober 20, 2018 03:58:01 UTC 2018 年 10 月 20 日 (土) 12 時 58 分 1 秒 (日本時間)
6026e73360 / 20340Jason Parker-BurlinghamOctober 20, 2018 20:33:02 UTC 2018 年 10 月 21 日 (日) 5 時 33 分 2 秒 (日本時間)
6585e74896 / 669061440Jason Parker-BurlinghamOctober 22, 2018 15:11:32 UTC 2018 年 10 月 23 日 (火) 0 時 11 分 32 秒 (日本時間)
3456Jason Parker-BurlinghamOctober 23, 2018 12:49:02 UTC 2018 年 10 月 23 日 (火) 21 時 49 分 2 秒 (日本時間)

34×10256-619

c241

name 名前Jason Parker-Burlingham
date 日付August 3, 2018 18:47:35 UTC 2018 年 8 月 4 日 (土) 3 時 47 分 35 秒 (日本時間)
composite number 合成数
9054484997417666279521205901265264256850454498174196311477990816513635288865320514058831345603035084676011340935369077716431984027423124583191171018820661918080764272790102346261846274882653697909506469343918729479672004148922555173024983057<241>
prime factors 素因数
11007356598500785916831635992452739708018141053<47>
822584870072338448754796825393478284200606197954915317054168472903291548170905886692151287100106828740491667285477959731755110763113223653849159520741513084915160023198504934002878440727352536869<195>
factorization results 素因数分解の結果
Input number is 9054484997417666279521205901265264256850454498174196311477990816513635288865320514058831345603035084676011340935369077716431984027423124583191171018820661918080764272790102346261846274882653697909506469343918729479672004148922555173024983057 (241 digits)
[...]
Run 68 out of 126:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3486763829
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 209332ms
Using 29 small primes for NTT
Estimated memory usage: 319.77MB
Initializing tables of differences for F took 84ms
Computing roots of F took 3636ms
Building F from its roots took 3760ms
Computing 1/F took 1924ms
Initializing table of differences for G took 112ms
Computing roots of G took 2920ms
Building G from its roots took 4500ms
Computing roots of G took 2848ms
Building G from its roots took 4488ms
Computing G * H took 928ms
Reducing  G * H mod F took 1020ms
Computing roots of G took 2940ms
Building G from its roots took 4756ms
Computing G * H took 992ms
Reducing  G * H mod F took 1060ms
Computing roots of G took 3068ms
Building G from its roots took 4760ms
Computing G * H took 976ms
Reducing  G * H mod F took 1084ms
Computing roots of G took 3068ms
Building G from its roots took 4756ms
Computing G * H took 992ms
Reducing  G * H mod F took 1080ms
Computing polyeval(F,G) took 8320ms
Computing product of all F(g_i) took 40ms
Step 2 took 64320ms
********** Factor found in step 2: 11007356598500785916831635992452739708018141053
Found prime factor of 47 digits: 11007356598500785916831635992452739708018141053
Prime cofactor 822584870072338448754796825393478284200606197954915317054168472903291548170905886692151287100106828740491667285477959731755110763113223653849159520741513084915160023198504934002878440727352536869 has 195 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/k8/params.h
execution environment 実行環境
AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 07:46:12 UTC 2017 年 5 月 24 日 (水) 16 時 46 分 12 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 27, 2017 20:36:41 UTC 2017 年 5 月 28 日 (日) 5 時 36 分 41 秒 (日本時間)

34×10258-619

c185

name 名前Jason Parker-Burlingham
date 日付October 17, 2018 22:35:38 UTC 2018 年 10 月 18 日 (木) 7 時 35 分 38 秒 (日本時間)
composite number 合成数
38482494805311828266678478744628095340047610723815635854406744651704733026258945108145329334402976008226122762781903094635482030626266846533982461735509622490413743015616065679503680277<185>
prime factors 素因数
6510802165285081008301948488001372875738774972382091030917368959254859<70>
5910561222470632313206855611779621584040158432972036956161844118167163460524087976816311898393764122902408779862303<115>
factorization results 素因数分解の結果
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: 94.8/8.47817
Info:Generate Free Relations: Total cpu/real time for freerel: 1209.89/77.1675
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 208198743
Info:Lattice Sieving: Average J: 15175.1 for 7797048 special-q, max bucket fill -bkmult 1.0,1s:1.134380
Info:Lattice Sieving: Total time: 5.14461e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 1070.1/815.559
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 815.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 5601.8/2273.92
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 1881.3000000000002s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 5030.69/1665.98
Info:Filtering - Merging: Total cpu/real time for merge: 8356.72/7182.62
Info:Filtering - Merging: Total cpu/real time for replay: 475.34/392.323
Info:Linear Algebra: Total cpu/real time for bwc: 6.08742e+06/416347
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 171498.66, iteration CPU time 1.03, COMM 0.08, cpu-wait 0.06, comm-wait 0.0 (417000 iterations)
Info:Linear Algebra: Lingen CPU time 3547.03, WCT time 334.87
Info:Linear Algebra: Mksol: WCT time 244493.14, iteration CPU time 1.04, COMM 0.07, cpu-wait 0.06, comm-wait 0.0 (209000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 468.67/116.571
Info:Square Root: Total cpu/real time for sqrt: 13955.6/2134.93
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.00006e+08/418636
5910561222470632313206855611779621584040158432972036956161844118167163460524087976816311898393764122902408779862303 6510802165285081008301948488001372875738774972382091030917368959254859
software ソフトウェア
CADO-NFS-3.0.0-dev (git commit e03663760)
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 22, 2017 10:51:46 UTC 2017 年 5 月 22 日 (月) 19 時 51 分 46 秒 (日本時間)
4511e631601000Dmitry DomanovMay 26, 2017 16:48:42 UTC 2017 年 5 月 27 日 (土) 1 時 48 分 42 秒 (日本時間)
2160Jason Parker-BurlinghamJuly 15, 2018 00:32:42 UTC 2018 年 7 月 15 日 (日) 9 時 32 分 42 秒 (日本時間)
5043e613000600Dmitry DomanovJune 21, 2017 13:50:18 UTC 2017 年 6 月 21 日 (水) 22 時 50 分 18 秒 (日本時間)
12400Jason Parker-BurlinghamJuly 15, 2018 13:31:37 UTC 2018 年 7 月 15 日 (日) 22 時 31 分 37 秒 (日本時間)
5511e740880Jason Parker-BurlinghamJuly 18, 2018 12:28:57 UTC 2018 年 7 月 18 日 (水) 21 時 28 分 57 秒 (日本時間)

34×10259-619

c260

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 16:16:17 UTC 2017 年 5 月 23 日 (火) 1 時 16 分 17 秒 (日本時間)
4511e6264Serge BatalovMay 24, 2017 23:34:07 UTC 2017 年 5 月 25 日 (木) 8 時 34 分 7 秒 (日本時間)
5043e60--
5511e74214774Serge BatalovMay 24, 2017 23:34:07 UTC 2017 年 5 月 25 日 (木) 8 時 34 分 7 秒 (日本時間)
3440Jason Parker-BurlinghamNovember 6, 2018 15:02:15 UTC 2018 年 11 月 7 日 (水) 0 時 2 分 15 秒 (日本時間)
6026e74448376Serge BatalovMay 24, 2017 23:34:22 UTC 2017 年 5 月 25 日 (木) 8 時 34 分 22 秒 (日本時間)
1000Serge BatalovMay 27, 2017 01:43:10 UTC 2017 年 5 月 27 日 (土) 10 時 43 分 10 秒 (日本時間)
1056Jason Parker-BurlinghamNovember 6, 2018 20:51:46 UTC 2018 年 11 月 7 日 (水) 5 時 51 分 46 秒 (日本時間)
2016Jason Parker-BurlinghamNovember 11, 2018 04:09:18 UTC 2018 年 11 月 11 日 (日) 13 時 9 分 18 秒 (日本時間)
6585e722201 / 677854608Jason Parker-BurlinghamNovember 10, 2018 17:09:45 UTC 2018 年 11 月 11 日 (日) 2 時 9 分 45 秒 (日本時間)
13200Jason Parker-BurlinghamFebruary 1, 2019 18:48:05 UTC 2019 年 2 月 2 日 (土) 3 時 48 分 5 秒 (日本時間)
4393Jason Parker-BurlinghamSeptember 5, 2019 13:58:56 UTC 2019 年 9 月 5 日 (木) 22 時 58 分 56 秒 (日本時間)

34×10261-619

c241

name 名前Dmitry Domanov
date 日付May 24, 2017 09:36:43 UTC 2017 年 5 月 24 日 (水) 18 時 36 分 43 秒 (日本時間)
composite number 合成数
1075779327092368138483613527341402482749596573628302495540608277159345565060695964285761807138546650693602888774842686405516023855757383087071526983769331917870380825234120702214473638480720965839537171317083730674780166120571791923559074433<241>
prime factors 素因数
477285538060047217036177749170985190757<39>
2253953328368027178283544357776679796402195071683988189934937679059799142049163320059560314534552694943913806249430560045941756394611576727654412277096108130283467735571095544901848796647091372622994669<202>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4044866040
Step 1 took 26800ms
Step 2 took 9932ms
********** Factor found in step 2: 477285538060047217036177749170985190757
Found probable prime factor of 39 digits: 477285538060047217036177749170985190757

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000 / 2104Dmitry DomanovMay 24, 2017 09:03:01 UTC 2017 年 5 月 24 日 (水) 18 時 3 分 1 秒 (日本時間)

34×10264-619

c246

name 名前Jason Parker-Burlingham
date 日付October 31, 2018 23:39:40 UTC 2018 年 11 月 1 日 (木) 8 時 39 分 40 秒 (日本時間)
composite number 合成数
136575809058995060268177820989123245741259860449984781062213404138003956489006623010808031115222924348265303355842460406450088592775244756943999891738590080523352864001533953220226670147250942624013130182673371586610574890563917852422404494532367<246>
prime factors 素因数
120192909078125522289652525208819123143151386392631<51>
1136305045834447979639081878486723287526450547789835824079767544531534807276443290551076694822585128333802878948325508679042747036255060170860868279693262168574942948200640795781624839177150100457<196>
factorization results 素因数分解の結果
# 13: curve 15 found factor 120192909078125522289652525208819123143151386392631 using sigma -1:1375800983                                                      
# Status: composite, fully factored
Results: 136575809058995060268177820989123245741259860449984781062213404138003956489006623010808031115222924348265303355842460406450088592775244756943999891738590080523352864001533953220226670147250942624013130182673371586610574890563917852422404494532367 = 1136305045834447979639081878486723287526450547789835824079767544531534807276443290551076694822585128333802878948325508679042747036255060170860868279693262168574942948200640795781624839177150100457 * 120192909078125522289652525208819123143151386392631
software ソフトウェア
ecmpi 0.1, GMP-ECM 7.0.5-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 09:03:29 UTC 2017 年 5 月 24 日 (水) 18 時 3 分 29 秒 (日本時間)
4511e650001000Dmitry DomanovMay 27, 2017 20:37:25 UTC 2017 年 5 月 28 日 (日) 5 時 37 分 25 秒 (日本時間)
4000Jason Parker-BurlinghamOctober 31, 2018 22:03:35 UTC 2018 年 11 月 1 日 (木) 7 時 3 分 35 秒 (日本時間)

34×10265-619

c266

name 名前Dmitry Domanov
date 日付May 24, 2017 09:37:55 UTC 2017 年 5 月 24 日 (水) 18 時 37 分 55 秒 (日本時間)
composite number 合成数
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<266>
prime factors 素因数
4834716399887820475225908532100529728143103<43>
composite cofactor 合成数の残り
7813856005836109111005074255312091443140983172362813950100197014205463754735126402691567834661321649354167907132200023866605743266502591287413942447652549688084059213909435841097302317277326932098182272533481991560339230357<223>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=495039345
Step 1 took 152073ms
Step 2 took 40447ms
********** Factor found in step 2: 4834716399887820475225908532100529728143103
Found probable prime factor of 43 digits: 4834716399887820475225908532100529728143103

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 17:35:32 UTC 2017 年 5 月 23 日 (火) 2 時 35 分 32 秒 (日本時間)
4511e656321600Dmitry DomanovMay 23, 2017 13:42:50 UTC 2017 年 5 月 23 日 (火) 22 時 42 分 50 秒 (日本時間)
4032Jason Parker-BurlinghamNovember 1, 2018 02:14:26 UTC 2018 年 11 月 1 日 (木) 11 時 14 分 26 秒 (日本時間)
5043e62208Jason Parker-BurlinghamNovember 1, 2018 03:50:59 UTC 2018 年 11 月 1 日 (木) 12 時 50 分 59 秒 (日本時間)
5511e78352 / 158666624Jason Parker-BurlinghamNovember 1, 2018 17:48:37 UTC 2018 年 11 月 2 日 (金) 2 時 48 分 37 秒 (日本時間)
1728Jason Parker-BurlinghamJanuary 3, 2021 03:45:17 UTC 2021 年 1 月 3 日 (日) 12 時 45 分 17 秒 (日本時間)
6026e7324 / 38512Jason Parker-BurlinghamApril 16, 2021 00:00:39 UTC 2021 年 4 月 16 日 (金) 9 時 0 分 39 秒 (日本時間)

34×10266-619

c246

name 名前Jason Parker-Burlingham
date 日付November 2, 2018 02:24:41 UTC 2018 年 11 月 2 日 (金) 11 時 24 分 41 秒 (日本時間)
composite number 合成数
234744636122500202366901636506269331091294561124449120277815129235875216834714435698015690054533932782157493076329150796733503390367627992698958261973727097490685023765942154445191333625689574630432663368540169406944342038336821287535421705787027<246>
prime factors 素因数
193574160151196420101823823871922645654048547299<48>
1212685804443870246042591937872476317284801369047185479864824078272367630499121996882808242105278664682975442620297672818839841403018143122837658477450701673076159581039561846272624753837691662505873<199>
factorization results 素因数分解の結果
# 37: curve 12 found factor 193574160151196420101823823871922645654048547299 using sigma -1:3927337105
# factorization after 1248 curves: 1212685804443870246042591937872476317284801369047185479864824078272367630499121996882808242105278664682975442620297672818839841403018143122837658477450701673076159581039561846272624753837691662505873 (probably prime) * 193574160151196420101823823871922645654048547299 (probably prime)
# 00: target = 1
# final factorization: 1212685804443870246042591937872476317284801369047185479864824078272367630499121996882808242105278664682975442620297672818839841403018143122837658477450701673076159581039561846272624753837691662505873 (probably prime) * 193574160151196420101823823871922645654048547299 (probably prime)
# Status: composite, fully factored
Results: 234744636122500202366901636506269331091294561124449120277815129235875216834714435698015690054533932782157493076329150796733503390367627992698958261973727097490685023765942154445191333625689574630432663368540169406944342038336821287535421705787027 = 1212685804443870246042591937872476317284801369047185479864824078272367630499121996882808242105278664682975442620297672818839841403018143122837658477450701673076159581039561846272624753837691662505873 * 193574160151196420101823823871922645654048547299
software ソフトウェア
ecmpi 0.1 with GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 09:36:09 UTC 2017 年 5 月 24 日 (水) 18 時 36 分 9 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 27, 2017 20:37:37 UTC 2017 年 5 月 28 日 (日) 5 時 37 分 37 秒 (日本時間)

34×10267-619

c178

name 名前Dmitry Domanov
date 日付May 23, 2017 06:29:02 UTC 2017 年 5 月 23 日 (火) 15 時 29 分 2 秒 (日本時間)
composite number 合成数
6659777584692056472159290638904955730397498653400502509521521961724463771681452535856597215407139644138877175769229863494134187229086841632302592497079884912043879237051393641647<178>
prime factors 素因数
2204291452702065774604922539289645965783<40>
composite cofactor 合成数の残り
3021278142020813177423929540246609543231205783694637684103284324009787000058088155484266806607593122607679705218178914953103063774841471209<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3295244235
Step 1 took 20183ms
Step 2 took 7650ms
********** Factor found in step 2: 2204291452702065774604922539289645965783
Found probable prime factor of 40 digits: 2204291452702065774604922539289645965783
Composite cofactor 3021278142020813177423929540246609543231205783694637684103284324009787000058088155484266806607593122607679705218178914953103063774841471209 has 139 digits

c139

name 名前Erik Branger
date 日付June 10, 2017 22:19:55 UTC 2017 年 6 月 11 日 (日) 7 時 19 分 55 秒 (日本時間)
composite number 合成数
3021278142020813177423929540246609543231205783694637684103284324009787000058088155484266806607593122607679705218178914953103063774841471209<139>
prime factors 素因数
2590948513931345422771288251180147356873988228984332899<55>
1166089609953889869772266432899725147479645923090817857872211367330212715203642362691<85>
factorization results 素因数分解の結果
Number: 37771_267
N = 3021278142020813177423929540246609543231205783694637684103284324009787000058088155484266806607593122607679705218178914953103063774841471209 (139 digits)
Divisors found:
r1=2590948513931345422771288251180147356873988228984332899 (pp55)
r2=1166089609953889869772266432899725147479645923090817857872211367330212715203642362691 (pp85)
Version: Msieve v. 1.51 (SVN 845)
Total time: 281.90 hours.
Factorization parameters were as follows:
n: 3021278142020813177423929540246609543231205783694637684103284324009787000058088155484266806607593122607679705218178914953103063774841471209
Y0: -1355592884885593280245886490
Y1: 100075529761111
c0: 177274026883731476312856265146633659
c1: 162406285626845379237356193820
c2: -88710545325821026451097
c3: -32959143906182188
c4: 7611456730
c5: 660
skew: 3757737.12
type: gnfs
Factor base limits: 11600000/11600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 24443183
Relations: 3857854 relations
Pruned matrix : 2334048 x 2334272
Polynomial selection time: 0.00 hours.
Total sieving time: 275.94 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 5.42 hours.
time per square root: 0.35 hours.
Prototype def-par.txt line would be: gnfs,138,5,65,2000,1e-05,0.28,250,20,50000,3600,11600000,11600000,28,28,56,56,2.5,2.5,100000
total time: 281.90 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-post2008Server-6.2.9200
processors: 8, speed: 2.29GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:29:56 UTC 2017 年 5 月 22 日 (月) 23 時 29 分 56 秒 (日本時間)
4511e61000 / 4173Dmitry DomanovMay 24, 2017 06:24:26 UTC 2017 年 5 月 24 日 (水) 15 時 24 分 26 秒 (日本時間)

34×10268-619

c179

name 名前Jason Parker-Burlingham
date 日付September 26, 2018 14:06:24 UTC 2018 年 9 月 26 日 (水) 23 時 6 分 24 秒 (日本時間)
composite number 合成数
49105802673969326731721420369566994762345656013834158430716935304669507623716386173750104673293427593254035947050213658582540828346924694497691946626618905409482540136769287941631<179>
prime factors 素因数
6179396927983551517277618017008952313623152317523821859582077<61>
7946698237103444062879011052277805030361995799949455725302489331580861089060065545940915286819885092056201631926140203<118>
factorization results 素因数分解の結果
Run 324 out of 792:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=260000000, B2=3178559884516, polynomial Dickson(30), sigma=1:2159663502
dF=262144, k=4, d=2852850, d2=17, i0=75
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
25      91      373     1709    8656    47888   288516  1857217 1.3e+07 9.3e+07
Step 1 took 835194ms
Using 22 small primes for NTT
Estimated memory usage: 1.03GB
Initializing tables of differences for F took 386ms
Computing roots of F took 26712ms
Building F from its roots took 12301ms
Computing 1/F took 5286ms
Initializing table of differences for G took 532ms
Computing roots of G took 21366ms
Building G from its roots took 13955ms
Computing roots of G took 21302ms
Building G from its roots took 13919ms
Computing G * H took 2663ms
Reducing  G * H mod F took 2923ms
Computing roots of G took 20790ms
Building G from its roots took 13763ms
Computing G * H took 2763ms
Reducing  G * H mod F took 2989ms
Computing roots of G took 22103ms
Building G from its roots took 14488ms
Computing G * H took 2758ms
Reducing  G * H mod F took 2978ms
Computing polyeval(F,G) took 26355ms
Computing product of all F(g_i) took 115ms
Step 2 took 231129ms
********** Factor found in step 2: 6179396927983551517277618017008952313623152317523821859582077
Found prime factor of 61 digits: 6179396927983551517277618017008952313623152317523821859582077
Prime cofactor 7946698237103444062879011052277805030361995799949455725302489331580861089060065545940915286819885092056201631926140203 has 118 digits
Peak memory usage: 1365MB
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
1 * AMD Ryzen 7 1700X Eight-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 14:30:20 UTC 2017 年 5 月 22 日 (月) 23 時 30 分 20 秒 (日本時間)
4511e61200Dmitry DomanovMay 23, 2017 13:56:37 UTC 2017 年 5 月 23 日 (火) 22 時 56 分 37 秒 (日本時間)
5043e642561200Dmitry DomanovJune 6, 2017 16:43:49 UTC 2017 年 6 月 7 日 (水) 1 時 43 分 49 秒 (日本時間)
3056Jason Parker-BurlinghamSeptember 16, 2018 14:11:49 UTC 2018 年 9 月 16 日 (日) 23 時 11 分 49 秒 (日本時間)
5511e716176Jason Parker-BurlinghamSeptember 22, 2018 12:48:08 UTC 2018 年 9 月 22 日 (土) 21 時 48 分 8 秒 (日本時間)
6026e75234 / 35386Jason Parker-BurlinghamSeptember 26, 2018 14:04:44 UTC 2018 年 9 月 26 日 (水) 23 時 4 分 44 秒 (日本時間)

34×10269-619

c243

name 名前Jason Parker-Burlingham
date 日付August 30, 2018 17:38:27 UTC 2018 年 8 月 31 日 (金) 2 時 38 分 27 秒 (日本時間)
composite number 合成数
160217040102662178697176228986012020850900861088423889614781827938837567792598890209455017792346110960190613010577373335824449467583904475229502221402861527563044540582052922755385191907992767269882907752386275701288338633953426049268423403933<243>
prime factors 素因数
3337095145374629862637087215668925618727026023<46>
composite cofactor 合成数の残り
48010929602870478161021686268494122608405329402408282273943102902756166691670526418112197511000014173590970479723224961955879015408293563301850595605732391097262434211251193024200857527981397998171<197>
factorization results 素因数分解の結果
Run 63 out of 100:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=850000000, B2=15892628251516, polynomial Dickson(30), sigma=1:411833906
5
dF=524288, k=5, d=5705700, d2=17, i0=132
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
17      52      185     737     3220    15391   78923   433303  2548310 1.6e+07
Step 1 took 5729719ms
Using 29 small primes for NTT
Estimated memory usage: 2.69GB
Initializing tables of differences for F took 893ms
Computing roots of F took 108647ms
Building F from its roots took 53975ms
Computing 1/F took 21672ms
Initializing table of differences for G took 1243ms
Computing roots of G took 86382ms
Building G from its roots took 58343ms
Computing roots of G took 86353ms
Building G from its roots took 58303ms
Computing G * H took 10790ms
Reducing  G * H mod F took 11869ms
Computing roots of G took 86255ms
Building G from its roots took 58715ms
Computing G * H took 10877ms
Reducing  G * H mod F took 11886ms
Computing roots of G took 86840ms
Building G from its roots took 58382ms
Computing G * H took 10775ms
Reducing  G * H mod F took 11891ms
Computing roots of G took 86704ms
Building G from its roots took 58374ms
Computing G * H took 10795ms
Reducing  G * H mod F took 11889ms
Computing polyeval(F,G) took 107882ms
Computing product of all F(g_i) took 473ms
Step 2 took 1114438ms
********** Factor found in step 2: 3337095145374629862637087215668925618727026023
Found prime factor of 46 digits: 3337095145374629862637087215668925618727026023
Composite cofactor 48010929602870478161021686268494122608405329402408282273943102902756166691670526418112197511000014173590970479723224961955879015408293563301850595605732391097262434211251193024200857527981397998171 has 197 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]

c197

name 名前Jason Parker-Burlingham
date 日付September 2, 2018 23:02:20 UTC 2018 年 9 月 3 日 (月) 8 時 2 分 20 秒 (日本時間)
composite number 合成数
48010929602870478161021686268494122608405329402408282273943102902756166691670526418112197511000014173590970479723224961955879015408293563301850595605732391097262434211251193024200857527981397998171<197>
prime factors 素因数
46486900716884660671849836277946507414269982400797<50>
composite cofactor 合成数の残り
1032784050183673998433963532176715978145719611010439255427623588473112512148822660021748943576045804239583710500028780016222767331125992745281398743<148>
factorization results 素因数分解の結果
Run 648 out of 1089:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:295012303
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 227527ms
Using 24 small primes for NTT
Estimated memory usage: 292.87MB
Initializing tables of differences for F took 106ms
Computing roots of F took 4586ms
Building F from its roots took 3951ms
Computing 1/F took 1849ms
Initializing table of differences for G took 142ms
Computing roots of G took 3664ms
Building G from its roots took 4099ms
Computing roots of G took 3648ms
Building G from its roots took 4122ms
Computing G * H took 914ms
Reducing  G * H mod F took 1020ms
Computing roots of G took 3584ms
Building G from its roots took 4095ms
Computing G * H took 905ms
Reducing  G * H mod F took 1018ms
Computing roots of G took 3629ms
Building G from its roots took 4103ms
Computing G * H took 928ms
Reducing  G * H mod F took 1018ms
Computing roots of G took 3690ms
Building G from its roots took 4097ms
Computing G * H took 915ms
Reducing  G * H mod F took 1022ms
Computing polyeval(F,G) took 8077ms
Computing product of all F(g_i) took 48ms
Step 2 took 65777ms
********** Factor found in step 2: 46486900716884660671849836277946507414269982400797
Found prime factor of 50 digits: 46486900716884660671849836277946507414269982400797
Composite cofactor 1032784050183673998433963532176715978145719611010439255427623588473112512148822660021748943576045804239583710500028780016222767331125992745281398743 has 148 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
3.7GHz quad-core Intel Xeon E5 running macos 10.13

c148

name 名前Jason Parker-Burlingham
date 日付September 7, 2018 01:37:55 UTC 2018 年 9 月 7 日 (金) 10 時 37 分 55 秒 (日本時間)
composite number 合成数
1032784050183673998433963532176715978145719611010439255427623588473112512148822660021748943576045804239583710500028780016222767331125992745281398743<148>
prime factors 素因数
74872601318173090937487622059253099812944711119244008471<56>
13793884972619436323034585926548787646260124471433627631374799723880465227870567991295175233<92>
factorization results 素因数分解の結果
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 85397.5
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 86361/42.390/53.053/58.460/0.916
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 86361/42.390/47.411/53.780/1.184
Info:Polynomial Selection (size optimized): Total time: 88123.1
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 3471.75
Info:Polynomial Selection (root optimized): Rootsieve time: 3471.1
Info:Generate Factor Base: Total cpu/real time for makefb: 38.21/9.85657
Info:Generate Free Relations: Total cpu/real time for freerel: 599/74.5509
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49890761
Info:Lattice Sieving: Average J: 3783.31 for 1520791 special-q, max bucket fill
-bkmult 1.0,1s:1.133240
Info:Lattice Sieving: Total time: 1.62694e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 263.55/258.939
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 258.0s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:
2065.91/856.579
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 725.1999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 1556.23/506.607
Info:Filtering - Merging: Total cpu/real time for merge: 2055.58/1737.85
Info:Filtering - Merging: Total cpu/real time for replay: 145.87/116.199
Info:Linear Algebra: Total cpu/real time for bwc: 606878/40890.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 26405.35, iteration CPU time 0.18, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (127000 iterations)
Info:Linear Algebra: Lingen CPU time 969.93, WCT time 93.54
Info:Linear Algebra: Mksol: WCT time 13915.69, iteration CPU time 0.19, COMM 0.02, cpu-wait 0.01, comm-wait 0.0 (64000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 154.65/37.2689
Info:Square Root: Total cpu/real time for sqrt: 6160.22/854.791
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 3.50356e+06/88338.4
74872601318173090937487622059253099812944711119244008471 13793884972619436323034585926548787646260124471433627631374799723880465227870567991295175233
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 10:00:35 UTC 2017 年 5 月 24 日 (水) 19 時 0 分 35 秒 (日本時間)
4511e670401000Dmitry DomanovMay 27, 2017 20:37:52 UTC 2017 年 5 月 28 日 (日) 5 時 37 分 52 秒 (日本時間)
6040Jason Parker-BurlinghamAugust 31, 2018 14:14:36 UTC 2018 年 8 月 31 日 (金) 23 時 14 分 36 秒 (日本時間)
5043e60--
5511e73528 / 17320Jason Parker-BurlinghamSeptember 5, 2018 13:53:10 UTC 2018 年 9 月 5 日 (水) 22 時 53 分 10 秒 (日本時間)

34×10270-619

c267

name 名前Dmitry Domanov
date 日付May 26, 2017 06:17:51 UTC 2017 年 5 月 26 日 (金) 15 時 17 分 51 秒 (日本時間)
composite number 合成数
208245288450348810858154334258187408509882463909254053127048000538987805400902804574046512197661527907931083059245784564124236689144908096454317721061560982182778114645156153342030636556847901316232720234704689806393130355425708493345338061726353441253391642014099431<267>
prime factors 素因数
28542303883988236404711042797585279035021<41>
composite cofactor 合成数の残り
7296022398779483133922642907461753739959240994336868219766761534933433845209762738639717021618627492178117126299972615276561114201038915094884780885765759789632465906577497783107443643631003202895924552770805065017954537510211<226>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=755658100
Step 1 took 29965ms
Step 2 took 9692ms
********** Factor found in step 2: 28542303883988236404711042797585279035021
Found probable prime factor of 41 digits: 28542303883988236404711042797585279035021

c226

name 名前Jason Parker-Burlingham
date 日付November 2, 2018 02:27:09 UTC 2018 年 11 月 2 日 (金) 11 時 27 分 9 秒 (日本時間)
composite number 合成数
7296022398779483133922642907461753739959240994336868219766761534933433845209762738639717021618627492178117126299972615276561114201038915094884780885765759789632465906577497783107443643631003202895924552770805065017954537510211<226>
prime factors 素因数
438260588672300497086181121792726984618358798305219<51>
16647680825881699039180521455866139242915457926680348481310772341688886542233213703290285797618500861105807313264598629186422291306131527600384965547620215070868978591940387969<176>
factorization results 素因数分解の結果
# 00: target = 7296022398779483133922642907461753739959240994336868219766761534933433845209762738639717021618627492178117126299972615276561114201038915094884780885765759789632465906577497783107443643631003202895924552770805065017954537510211
# 69: curve 6 found factor 438260588672300497086181121792726984618358798305219 using sigma -1:3198724365# factorization after 672 curves: 16647680825881699039180521455866139242915457926680348481310772341688886542233213703290285797618500861105807313264598629186422291306131527600384965547620215070868978591940387969 (probably prime) * 438260588672300497086181121792726984618358798305219 (probably prime)
# 672 curves done (13.4%)
# 00: target = 1
# final factorization: 16647680825881699039180521455866139242915457926680348481310772341688886542233213703290285797618500861105807313264598629186422291306131527600384965547620215070868978591940387969 (probably prime) * 438260588672300497086181121792726984618358798305219 (probably prime)
# Status: composite, fully factored
Results: 7296022398779483133922642907461753739959240994336868219766761534933433845209762738639717021618627492178117126299972615276561114201038915094884780885765759789632465906577497783107443643631003202895924552770805065017954537510211 = 16647680825881699039180521455866139242915457926680348481310772341688886542233213703290285797618500861105807313264598629186422291306131527600384965547620215070868978591940387969 * 438260588672300497086181121792726984618358798305219
software ソフトウェア
ecmpi 0.1 with GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:38:02 UTC 2017 年 5 月 25 日 (木) 23 時 38 分 2 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 28, 2017 14:07:27 UTC 2017 年 5 月 28 日 (日) 23 時 7 分 27 秒 (日本時間)

34×10272-619

c256

name 名前Serge Batalov
date 日付May 23, 2017 16:28:47 UTC 2017 年 5 月 24 日 (水) 1 時 28 分 47 秒 (日本時間)
composite number 合成数
8150784339041763411461332535531786673784267555235749691896257652530337863269876598235378703253606998363660053217953951746957302483847585393402485410853789799062158179832550642694501089888103913452819554458564455309808204053170363844213345935083338407634203<256>
prime factors 素因数
21767365245888712569815534618176253<35>
29841735256224996678824742505882901<35>
composite cofactor 合成数の残り
12547854223716200666273714620779429086966550877284013919543778866562916681813491928113879814009139838990917094626869139749823126318465078589117274677778239038742827255085861166286689932251<188>
factorization results 素因数分解の結果
21767365245888712569815534618176253
29841735256224996678824742505882901

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 24, 2017 14:35:41 UTC 2017 年 5 月 24 日 (水) 23 時 35 分 41 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 14:35:41 UTC 2017 年 5 月 24 日 (水) 23 時 35 分 41 秒 (日本時間)
5043e61200Dmitry DomanovJune 1, 2017 14:38:40 UTC 2017 年 6 月 1 日 (木) 23 時 38 分 40 秒 (日本時間)
5511e70--
6026e721082 / 4185620064Jason Parker-BurlinghamApril 4, 2019 14:01:10 UTC 2019 年 4 月 4 日 (木) 23 時 1 分 10 秒 (日本時間)
1018Jason Parker-BurlinghamJanuary 3, 2021 03:50:29 UTC 2021 年 1 月 3 日 (日) 12 時 50 分 29 秒 (日本時間)

34×10273-619

c206

composite cofactor 合成数の残り
20886508606042249944039333744230978115901056554746242531689976049419654457509565176252284282040891532873364964193171090219644043806605415598685166896799472633179048387954642078610505980498344559506260617861<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 23, 2017 06:37:31 UTC 2017 年 5 月 23 日 (火) 15 時 37 分 31 秒 (日本時間)
4511e627701000Dmitry DomanovMay 26, 2017 16:49:19 UTC 2017 年 5 月 27 日 (土) 1 時 49 分 19 秒 (日本時間)
1770Jason Parker-BurlinghamJune 18, 2019 12:34:24 UTC 2019 年 6 月 18 日 (火) 21 時 34 分 24 秒 (日本時間)
5043e65645 / 6881400Dmitry DomanovJune 21, 2017 14:17:50 UTC 2017 年 6 月 21 日 (水) 23 時 17 分 50 秒 (日本時間)
5245Jason Parker-BurlinghamJanuary 3, 2021 04:15:56 UTC 2021 年 1 月 3 日 (日) 13 時 15 分 56 秒 (日本時間)

34×10274-619

c227

name 名前Dmitry Domanov
date 日付May 23, 2017 13:12:26 UTC 2017 年 5 月 23 日 (火) 22 時 12 分 26 秒 (日本時間)
composite number 合成数
17063588827266979293436222802282006846810122383964184655375632065760586926524982971637799530671595006553865864349577091538957449891590859761207650112937549792801238398014458343421365958392089362650404471872056669459009878973383<227>
prime factors 素因数
19290613873777950813495651082200967913473<41>
composite cofactor 合成数の残り
884553956598643895489655522132231133831546726992330847923987132823450061613287480642666696836065462194065488434518916095617066724837569104552742482804730944909473976164062216779915721671<186>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3884829489
Step 1 took 36224ms
Step 2 took 10702ms
********** Factor found in step 2: 19290613873777950813495651082200967913473
Found probable prime factor of 41 digits: 19290613873777950813495651082200967913473

c186

name 名前Dmitry Domanov
date 日付June 6, 2017 09:34:03 UTC 2017 年 6 月 6 日 (火) 18 時 34 分 3 秒 (日本時間)
composite number 合成数
884553956598643895489655522132231133831546726992330847923987132823450061613287480642666696836065462194065488434518916095617066724837569104552742482804730944909473976164062216779915721671<186>
prime factors 素因数
12135242169758107606858796916302417468435904907<47>
72891331233835258026915507035915512838583049745216191004209986551594219471258541479371058167707194342314905526355908022476557271547191948853<140>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1673002495
Step 1 took 253518ms
Step 2 took 66812ms
********** Factor found in step 2: 12135242169758107606858796916302417468435904907
Found probable prime factor of 47 digits: 12135242169758107606858796916302417468435904907

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:37:56 UTC 2017 年 5 月 23 日 (火) 15 時 37 分 56 秒 (日本時間)
4511e61200Dmitry DomanovMay 24, 2017 11:45:43 UTC 2017 年 5 月 24 日 (水) 20 時 45 分 43 秒 (日本時間)
5043e61200 / 7241Dmitry DomanovJune 5, 2017 16:43:17 UTC 2017 年 6 月 6 日 (火) 1 時 43 分 17 秒 (日本時間)

34×10276-619

c232

composite cofactor 合成数の残り
1185144624607956523856773296135197720433021853978688265098238319990851800819217889276232805263231564972697261366492601644182011170280472038021622590312928619688846734221766036268536419927634153627482450108397655439086057528059546461<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:38:15 UTC 2017 年 5 月 23 日 (火) 15 時 38 分 15 秒 (日本時間)
4511e642181000Dmitry DomanovMay 27, 2017 20:38:13 UTC 2017 年 5 月 28 日 (日) 5 時 38 分 13 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 5, 2020 22:45:38 UTC 2020 年 9 月 6 日 (日) 7 時 45 分 38 秒 (日本時間)
5043e64372 / 6564Jason Parker-BurlinghamJanuary 3, 2021 03:51:00 UTC 2021 年 1 月 3 日 (日) 12 時 51 分 0 秒 (日本時間)

34×10277-619

c265

composite cofactor 合成数の残り
4405236169988276441562114951116982211085192763667351645137982826219978562001362308387506939863438210285076303474018356590400870374464361007389732029708309447663343710809790996486911872131838615971851669071653423905616865048816164425182067755841490442860570005091219<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:38:18 UTC 2017 年 5 月 25 日 (木) 23 時 38 分 18 秒 (日本時間)
4511e642181000Dmitry DomanovMay 29, 2017 12:45:21 UTC 2017 年 5 月 29 日 (月) 21 時 45 分 21 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 5, 2020 22:46:16 UTC 2020 年 9 月 6 日 (日) 7 時 46 分 16 秒 (日本時間)
5043e63471 / 6564Jason Parker-BurlinghamJanuary 3, 2021 03:56:43 UTC 2021 年 1 月 3 日 (日) 12 時 56 分 43 秒 (日本時間)

34×10278-619

c227

composite cofactor 合成数の残り
54476147068322874964826075958045011327543700480838780690945935418693823981824159534631362386859526619472677078691457896705091338550468348707845551990372658679077791707286075608913117023295017332531921310898499363657867144620491<227>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:38:33 UTC 2017 年 5 月 23 日 (火) 15 時 38 分 33 秒 (日本時間)
4511e642181000Dmitry DomanovMay 27, 2017 20:38:29 UTC 2017 年 5 月 28 日 (日) 5 時 38 分 29 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 5, 2020 22:46:42 UTC 2020 年 9 月 6 日 (日) 7 時 46 分 42 秒 (日本時間)
5043e64527 / 6564Jason Parker-BurlinghamJanuary 3, 2021 03:35:55 UTC 2021 年 1 月 3 日 (日) 12 時 35 分 55 秒 (日本時間)

34×10279-619

c263

name 名前Serge Batalov
date 日付May 23, 2017 16:38:36 UTC 2017 年 5 月 24 日 (水) 1 時 38 分 36 秒 (日本時間)
composite number 合成数
20451795198620808300543669196977536134496359483191485725839338118348454337056668378996351291706088144809588914962654407790080710864141220262024294412528468855391070130488677549196535859713007412849828903662988076852144493803527348946739010820307571948867950368299<263>
prime factors 素因数
89851455972275871756587058702678469582409<41>
composite cofactor 合成数の残り
227617849675483441864722380040192845402147024046310134722092146753582273736133256844299426907298773279473827428034060870119105134962189919834918018655203326180801966706003212016660670050538521106701368180640297492126720211<222>
factorization results 素因数分解の結果
89851455972275871756587058702678469582409

c222

name 名前Jason Parker-Burlingham
date 日付November 5, 2018 14:54:03 UTC 2018 年 11 月 5 日 (月) 23 時 54 分 3 秒 (日本時間)
composite number 合成数
227617849675483441864722380040192845402147024046310134722092146753582273736133256844299426907298773279473827428034060870119105134962189919834918018655203326180801966706003212016660670050538521106701368180640297492126720211<222>
prime factors 素因数
75460514190466015439637797737932115072454843175071<50>
composite cofactor 合成数の残り
3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341<172>
factorization results 素因数分解の結果
# 47: curve 54 found factor 75460514190466015439637797737932115072454843175071 using sigma -1:961882182
# factorization after 5280 curves: 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 (composite) * 75460514190466015439637797737932115072454843175071 (probably prime)
# 5280 curves done (35.2%)
# 00: target = 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341
[...]
# factorization after 15072 curves: 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 (composite) * 75460514190466015439637797737932115072454843175071 (probably prime)
# 15072 curves done (100.5%)
# final factorization: 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 (composite) * 75460514190466015439637797737932115072454843175071 (probably prime)
# Status: composite, factors known
Results: 227617849675483441864722380040192845402147024046310134722092146753582273736133256844299426907298773279473827428034060870119105134962189919834918018655203326180801966706003212016660670050538521106701368180640297492126720211 = 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341 * 75460514190466015439637797737932115072454843175071
software ソフトウェア
ecmpi v0.1, GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]                                                       
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

c172

name 名前Jason Parker-Burlingham
date 日付January 13, 2019 13:24:09 UTC 2019 年 1 月 13 日 (日) 22 時 24 分 9 秒 (日本時間)
composite number 合成数
3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341<172>
prime factors 素因数
446312748645718146132684289764373070973541797549254695585526735493360431216546061841<84>
6758452466578325810330347608534512938095716148720844026944541733955827767173119787909501<88>
factorization results 素因数分解の結果
$ cat 37771_279.poly
n: 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341
skew: 5687366.741
c0: 1844365051828556051246292858200517299056
c1: -652680455268348606492829307490528
c2: -42979525126081196796415117
c3: -747412658435266339995
c4: -16124985610032
c5: 2706480
Y0: -1348430098615952463172584497847510
Y1: 242062762813618602089
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=2.631e+15) = 2.96e-08
# found by revision 0dec81292
# f(x) = 2706480*x^5-16124985610032*x^4-747412658435266339995*x^3-42979525126081196796415117*x^2-652680455268348606492829307490528*x+1844365051828556051246292858200517299056
# g(x) = 242062762813618602089*x-1348430098615952463172584497847510

$ cat 37771_279.parameters_snapshot.9 
N = 3016383496950006147092688200424946917422706718391310384294721528855721834292309567932262756723784125877970431370173942976562831621594395308639675419510349700482607657451341
name = 37771_279
slaves.basepath = 
slaves.hostnames = 
slaves.nrclients = 4
slaves.scriptpath = /pkg/cado-nfs/bin
tasks.I = 14
tasks.execpath = /pkg/cado-nfs/lib/cado-nfs-3.0.0
tasks.lim0 = 37000000
tasks.lim1 = 52000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 9800000
tasks.threads = 16
tasks.workdir = .
tasks.wutimeout = 86500
tasks.filter.maxlevel = 30
tasks.filter.target_density = 110.0
tasks.filter.purge.keep = 160
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.cpubinding = /pkg/cado-nfs/share/cado-nfs-3.0.0/misc/cpubinding.conf
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.interval = 1000
tasks.linalg.bwc.threads = 8
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 1500000
tasks.polyselect.admax = 3e6
tasks.polyselect.adrange = 1e3
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 3125
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.mfb0 = 60
tasks.sieve.mfb1 = 90
tasks.sieve.ncurves0 = 12
tasks.sieve.ncurves1 = 8
tasks.sieve.qrange = 5000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 8

Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 366053
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 369085/52.600/62.327/65.760/0.837
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 369085/51.250/56.390/63.160/1.519
Info:Polynomial Selection (size optimized): Total time: 901298
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6333.11
Info:Polynomial Selection (root optimized): Rootsieve time: 6332.49
Info:Generate Factor Base: Total cpu/real time for makefb: 77.87/25.5451
Info:Generate Free Relations: Total cpu/real time for freerel: 2555.08/465.089
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 168907593
Info:Lattice Sieving: Average J: 7754.02 for 8155537 special-q, max bucket fill -bkmult 1.0,1s:1.077540
Info:Lattice Sieving: Total time: 1.49137e+07s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 708.45/432.06
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 430.9999999999999s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 5715.16/2515.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 2102.1000000000004s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 6502.72/1957.68
Info:Filtering - Merging: Total cpu/real time for merge: 5288.06/4430.49
Info:Filtering - Merging: Total cpu/real time for replay: 385.62/304.523
Info:Linear Algebra: Total cpu/real time for bwc: 4.80653e+06/653502
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 421130.16, iteration CPU time 0.8, COMM 0.05, cpu-wait 0.04, comm-wait 0.0 (471000 iterations)
Info:Linear Algebra: Lingen CPU time 2032.3, WCT time 373.13
Info:Linear Algebra: Mksol: WCT time 230351.52, iteration CPU time 0.89, COMM 0.05, cpu-wait 0.03, comm-wait 0.0 (236000 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 490.25/115.734
Info:Square Root: Total cpu/real time for sqrt: 23221.1/3268.26
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.65919e+07/1.17675e+06
6758452466578325810330347608534512938095716148720844026944541733955827767173119787909501 446312748645718146132684289764373070973541797549254695585526735493360431216546061841
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 14:40:23 UTC 2017 年 5 月 24 日 (水) 23 時 40 分 23 秒 (日本時間)
4511e61000Dmitry DomanovMay 28, 2017 14:08:32 UTC 2017 年 5 月 28 日 (日) 23 時 8 分 32 秒 (日本時間)
5043e61000 / 7286Dmitry DomanovNovember 14, 2018 11:56:35 UTC 2018 年 11 月 14 日 (水) 20 時 56 分 35 秒 (日本時間)

34×10281-619

c271

composite cofactor 合成数の残り
1144331772514989043544300839210192243882269619066659548498023340396013419883757632284253611427715461762693339007576499271405064215014700359628450832106536504118878217674256386011274248547911067661665166720159783302588199474577745877594486581501665155461792998044590934387<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:39:07 UTC 2017 年 5 月 25 日 (木) 23 時 39 分 7 秒 (日本時間)
4511e642181000Dmitry DomanovMay 29, 2017 12:46:03 UTC 2017 年 5 月 29 日 (月) 21 時 46 分 3 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 6, 2020 03:08:12 UTC 2020 年 9 月 6 日 (日) 12 時 8 分 12 秒 (日本時間)
5043e63316 / 6564Jason Parker-BurlinghamJanuary 3, 2021 04:19:03 UTC 2021 年 1 月 3 日 (日) 13 時 19 分 3 秒 (日本時間)

34×10282-619

c262

name 名前Jason Parker-Burlingham
date 日付November 5, 2018 14:46:20 UTC 2018 年 11 月 5 日 (月) 23 時 46 分 20 秒 (日本時間)
composite number 合成数
7527165407094508274630285275720263563281963199276849387632421188175512317485938331816710323222300850616319819384490990800428145706076127973136091719854253927263710461525477777643353737083098178199266865614239634691301483392912300873032154737808697525395788340169<262>
prime factors 素因数
563379217636947175981521633101495429216799265063482533<54>
13360743831955058118258517823428023365014093863857520219799684138380317568993239116862931518146647099454063796983487842701188897399335549873205295117163146291742716608230991735818811697591800518700455193726293<209>
factorization results 素因数分解の結果
# 40: curve 31 found factor 563379217636947175981521633101495429216799265063482533 using sigma -1:242487659
# factorization after 3072 curves: 13360743831955058118258517823428023365014093863857520219799684138380317568993239116862931518146647099454063796983487842701188897399335549873205295117163146291742716608230991735818811697591800518700455193726293 (probably prime) * 563379217636947175981521633101495429216799265063482533 (probably prime)
# 3072 curves done (20.5%)
# 00: target = 1
# final factorization: 13360743831955058118258517823428023365014093863857520219799684138380317568993239116862931518146647099454063796983487842701188897399335549873205295117163146291742716608230991735818811697591800518700455193726293 (probably prime) * 563379217636947175981521633101495429216799265063482533 (probably prime)
# Status: composite, fully factored
Results: 7527165407094508274630285275720263563281963199276849387632421188175512317485938331816710323222300850616319819384490990800428145706076127973136091719854253927263710461525477777643353737083098178199266865614239634691301483392912300873032154737808697525395788340169 = 13360743831955058118258517823428023365014093863857520219799684138380317568993239116862931518146647099454063796983487842701188897399335549873205295117163146291742716608230991735818811697591800518700455193726293 * 563379217636947175981521633101495429216799265063482533
software ソフトウェア
ecmpi v0.1, GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:38:36 UTC 2017 年 5 月 25 日 (木) 23 時 38 分 36 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 12:46:23 UTC 2017 年 5 月 29 日 (月) 21 時 46 分 23 秒 (日本時間)

34×10283-619

c217

composite cofactor 合成数の残り
1766616556608068275510438958886704502841216560450901161557522473524119802268371428645139088776548396939296002446416680053342784795926783611978720253170688997373044006323156597427844669036090794708868707198651439269487<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:38:52 UTC 2017 年 5 月 23 日 (火) 15 時 38 分 52 秒 (日本時間)
4511e628141000Dmitry DomanovMay 26, 2017 16:49:43 UTC 2017 年 5 月 27 日 (土) 1 時 49 分 43 秒 (日本時間)
1814Jason Parker-BurlinghamSeptember 6, 2020 03:08:04 UTC 2020 年 9 月 6 日 (日) 12 時 8 分 4 秒 (日本時間)
5043e64959 / 6879400Dmitry DomanovJune 21, 2017 14:18:33 UTC 2017 年 6 月 21 日 (水) 23 時 18 分 33 秒 (日本時間)
4559Jason Parker-BurlinghamJanuary 3, 2021 03:53:05 UTC 2021 年 1 月 3 日 (日) 12 時 53 分 5 秒 (日本時間)

34×10284-619

c256

composite cofactor 合成数の残り
1135302644931191403476531945213623658216537556148102652698903444489716742683999287388064510499873239777729038595210716828130784808709195125572382516494141308144375814217139008686745045500005144724247183437959446358416634038568982775304942488860856525005549<256>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 25, 2017 14:38:52 UTC 2017 年 5 月 25 日 (木) 23 時 38 分 52 秒 (日本時間)
4511e642181000Dmitry DomanovMay 29, 2017 13:28:30 UTC 2017 年 5 月 29 日 (月) 22 時 28 分 30 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 5, 2020 22:47:09 UTC 2020 年 9 月 6 日 (日) 7 時 47 分 9 秒 (日本時間)
5043e63445 / 6564Jason Parker-BurlinghamJanuary 3, 2021 03:40:05 UTC 2021 年 1 月 3 日 (日) 12 時 40 分 5 秒 (日本時間)

34×10285-619

c243

name 名前Jason Parker-Burlingham
date 日付November 6, 2018 03:10:42 UTC 2018 年 11 月 6 日 (火) 12 時 10 分 42 秒 (日本時間)
composite number 合成数
451786276864899949589725618998817840044670773608291266260661605432247094709573060247648947899236599030615326985359666220248700238421301526066357807338514269577619438394407513173044290499937036128038389986367578214275552743129602285360760701019<243>
prime factors 素因数
8530825029946139710581969917144033699724769<43>
composite cofactor 合成数の残り
52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251<200>
factorization results 素因数分解の結果
# 95: curve 3 found factor 8530825029946139710581969917144033699724769 using sigma -1:1638302826
# factorization after 384 curves: 52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251 (composite) * 8530825029946139710581969917144033699724769 (probably prime)
# 00: target = 52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251
# factorization after 15072 curves: 52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251 (composite) * 8530825029946139710581969917144033699724769 (probably prime)
# 15072 curves done (100.5%)
# final factorization: 52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251 (composite) * 8530825029946139710581969917144033699724769 (probably prime)
# Status: composite, factors known
Results: 451786276864899949589725618998817840044670773608291266260661605432247094709573060247648947899236599030615326985359666220248700238421301526066357807338514269577619438394407513173044290499937036128038389986367578214275552743129602285360760701019 = 52959271263796199471150288742216995411042597520449051219509859759436215861366023803570987407108357630364205583625143066266173282024268321915280006565844805223030021474066242465786136077585890434936251 * 8530825029946139710581969917144033699724769
software ソフトウェア
ecmpi v0.1, GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert, --enable-openmp] [ECM]
execution environment 実行環境
6 * AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 10:01:17 UTC 2017 年 5 月 24 日 (水) 19 時 1 分 17 秒 (日本時間)
4511e642181000Dmitry DomanovMay 28, 2017 14:10:26 UTC 2017 年 5 月 28 日 (日) 23 時 10 分 26 秒 (日本時間)
3218Jason Parker-BurlinghamSeptember 5, 2020 22:47:28 UTC 2020 年 9 月 6 日 (日) 7 時 47 分 28 秒 (日本時間)
5043e65259 / 6564Jason Parker-BurlinghamJanuary 3, 2021 04:10:13 UTC 2021 年 1 月 3 日 (日) 13 時 10 分 13 秒 (日本時間)

34×10286-619

c233

name 名前Jason Parker-Burlingham
date 日付September 5, 2020 22:44:46 UTC 2020 年 9 月 6 日 (日) 7 時 44 分 46 秒 (日本時間)
composite number 合成数
19941186625358620940415196755346304172440211658154389169830082238553449506906169770082931604348771983973866637679548176302889494222098942415150128057625543337070592605350761054814087691190942916677188459251484242366312921525322022427<233>
prime factors 素因数
8255905627353517325177361883339977336559514414083<49>
composite cofactor 合成数の残り
2415384516907431537277099635475101917196158067802231383497041453725446502991049739703037335514380876137495093565681409928042191818729801267533500110778233994743908235395255544477672969<184>
factorization results 素因数分解の結果
Run 2292 out of 3218:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1715158706
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 74416ms
Using 28 small primes for NTT
Estimated memory usage: 155.60MB
Initializing tables of differences for F took 124ms
Computing roots of F took 2493ms
Building F from its roots took 2115ms
Computing 1/F took 1035ms
Initializing table of differences for G took 97ms
Computing roots of G took 2139ms
Building G from its roots took 2312ms
Computing roots of G took 2196ms
Building G from its roots took 2381ms
Computing G * H took 495ms
Reducing  G * H mod F took 581ms
Computing roots of G took 2146ms
Building G from its roots took 2415ms
Computing G * H took 513ms
Reducing  G * H mod F took 603ms
Computing polyeval(F,G) took 4253ms
Computing product of all F(g_i) took 30ms
Step 2 took 26215ms
********** Factor found in step 2: 825590562735351732517736188333997733655951441
4083
Found prime factor of 49 digits: 82559056273535173251773618833399773365595144140
83
Composite cofactor 2415384516907431537277099635475101917196158067802231383497041
45372544650299104973970303733551438087613749509356568140992804219181872980126753
3500110778233994743908235395255544477672969 has 184 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
3.7 GHz Quad-Core Intel Xeon E5 w/ 32 GB RAM

c184

name 名前Jason Parker-Burlingham
date 日付December 7, 2020 04:49:54 UTC 2020 年 12 月 7 日 (月) 13 時 49 分 54 秒 (日本時間)
composite number 合成数
2415384516907431537277099635475101917196158067802231383497041453725446502991049739703037335514380876137495093565681409928042191818729801267533500110778233994743908235395255544477672969<184>
prime factors 素因数
42271495836339938365281652737227210258916967667<47>
57139792882157129290289989448416256105144050840774673591735783625409131808792194676001816245054469794375889832410246238014204454072997907<137>
factorization results 素因数分解の結果
thread 2 with sigma -1:1516921791 found factor in step 2: 42271495836339938365281652737227210258916967667
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.1, --enable-asm-redc, --enable-assert] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:39:10 UTC 2017 年 5 月 23 日 (火) 15 時 39 分 10 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovMay 28, 2017 14:08:59 UTC 2017 年 5 月 28 日 (日) 23 時 8 分 59 秒 (日本時間)

34×10287-619

c265

composite cofactor 合成数の残り
3929078322902986416069174459494139997548651271994576308309937292774952253597169200550666940332206144197726566457746984132858386360108525910293860766065778508205544428870108336823279883136504362636006265325902856952919272401074364219965149035263289818371042435003299<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 10:06:58 UTC 2017 年 5 月 26 日 (金) 19 時 6 分 58 秒 (日本時間)
4511e662081000Dmitry DomanovMay 29, 2017 13:29:42 UTC 2017 年 5 月 29 日 (月) 22 時 29 分 42 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 03:36:57 UTC 2021 年 1 月 3 日 (日) 12 時 36 分 57 秒 (日本時間)

34×10289-619

c259

composite cofactor 合成数の残り
4668924308502259802427451119122625185855829784640838956944572198927970022554529678349809058918018460025196240115510750221460897395409958036430614418923911836231694744910289253707658015575330670538361993085993612830049558942742126006753114623548667607550866773<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 10:07:18 UTC 2017 年 5 月 26 日 (金) 19 時 7 分 18 秒 (日本時間)
4511e662081000Dmitry DomanovMay 29, 2017 13:29:21 UTC 2017 年 5 月 29 日 (月) 22 時 29 分 21 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 04:16:28 UTC 2021 年 1 月 3 日 (日) 13 時 16 分 28 秒 (日本時間)

34×10290-619

c246

composite cofactor 合成数の残り
912654363581685075062292412241329010089544641415180095418731173401378097672884834004175573052423575489257661571590777901250303975318914707049715410532190463759292718780486009022713281283678400512822962097242615071432960654751495222715315750022447<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 10:04:32 UTC 2017 年 5 月 24 日 (水) 19 時 4 分 32 秒 (日本時間)
4511e635841000Dmitry DomanovMay 28, 2017 14:10:47 UTC 2017 年 5 月 28 日 (日) 23 時 10 分 47 秒 (日本時間)
2584Jason Parker-BurlinghamSeptember 21, 2018 13:02:43 UTC 2018 年 9 月 21 日 (金) 22 時 2 分 43 秒 (日本時間)
5043e610980Jason Parker-BurlinghamSeptember 27, 2018 17:12:38 UTC 2018 年 9 月 28 日 (金) 2 時 12 分 38 秒 (日本時間)
5511e71609 / 13618Jason Parker-BurlinghamJanuary 3, 2021 03:56:12 UTC 2021 年 1 月 3 日 (日) 12 時 56 分 12 秒 (日本時間)

34×10291-619

c277

composite cofactor 合成数の残り
3946423829109864115802007241846633930770471347253380717539538303399097995450312138882829708483873471998393946849840144892053353633631477907605071226872454362625786961000456444865838302550317186999136975116200118191248075477458782371967908521908093272100778223177063359759712539<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 10:07:42 UTC 2017 年 5 月 26 日 (金) 19 時 7 分 42 秒 (日本時間)
4511e662081000Dmitry DomanovMay 30, 2017 06:55:58 UTC 2017 年 5 月 30 日 (火) 15 時 55 分 58 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 03:48:56 UTC 2021 年 1 月 3 日 (日) 12 時 48 分 56 秒 (日本時間)

34×10292-619

c220

composite cofactor 合成数の残り
1129341972476570989945736786502770307919319968200171630606907864817648053461964783484897478558770314657992246781279197754624922831335335629002047464569057597874105233473828062950963568718307948721672795249205098650379063<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 23, 2017 06:40:03 UTC 2017 年 5 月 23 日 (火) 15 時 40 分 3 秒 (日本時間)
4511e662081000Dmitry DomanovMay 26, 2017 16:50:00 UTC 2017 年 5 月 27 日 (土) 1 時 50 分 0 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 03:45:48 UTC 2021 年 1 月 3 日 (日) 12 時 45 分 48 秒 (日本時間)

34×10293-619

c282

composite cofactor 合成数の残り
328147937988182588162676743202592800570319995347316450121642213197098976323054768540607176901318539270673554429271709656263531338165250325081321746782549091430939823923102442652756206367411958021053342695193482582687936063774256988968452749804883052526538083364873279559239383860047<282>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 26, 2017 06:24:02 UTC 2017 年 5 月 26 日 (金) 15 時 24 分 2 秒 (日本時間)
4511e642721200Dmitry DomanovJune 1, 2017 07:06:48 UTC 2017 年 6 月 1 日 (木) 16 時 6 分 48 秒 (日本時間)
3072Jason Parker-BurlinghamFebruary 15, 2019 13:58:16 UTC 2019 年 2 月 15 日 (金) 22 時 58 分 16 秒 (日本時間)
5043e66544Jason Parker-BurlinghamFebruary 15, 2019 21:43:22 UTC 2019 年 2 月 16 日 (土) 6 時 43 分 22 秒 (日本時間)
5511e715157Jason Parker-BurlinghamFebruary 17, 2019 14:55:10 UTC 2019 年 2 月 17 日 (日) 23 時 55 分 10 秒 (日本時間)
6026e735455Jason Parker-BurlinghamFebruary 26, 2019 15:36:04 UTC 2019 年 2 月 27 日 (水) 0 時 36 分 4 秒 (日本時間)
6585e739456 / 58003Jason Parker-BurlinghamMarch 30, 2019 02:09:37 UTC 2019 年 3 月 30 日 (土) 11 時 9 分 37 秒 (日本時間)

34×10294-619

c253

name 名前Jason Parker-Burlingham
date 日付December 13, 2020 15:46:37 UTC 2020 年 12 月 14 日 (月) 0 時 46 分 37 秒 (日本時間)
composite number 合成数
4099531293393131110751770697763777722108933878854076331244079228800251840200676000196580891780254301090241907390512209080986248791019749704419245058459877786927218483128817231253252039564322452712709010227119464443104603631473566598376669438705892798233<253>
prime factors 素因数
3113441414307420333159360022418419139050956281869<49>
1316720229439443224140214412006836530195466861302767931160615544002397303825049580491958271270040860464344292518969505172924713762924318214739718366807239670041194429410455598077365312347756382605407159357<205>
factorization results 素因数分解の結果
Run 4813 out of 5208:
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1674757576
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 76329ms
Using 30 small primes for NTT
Estimated memory usage: 165.32MB
Initializing tables of differences for F took 108ms
Computing roots of F took 2240ms
Building F from its roots took 2020ms
Computing 1/F took 1095ms
Initializing table of differences for G took 93ms
Computing roots of G took 2025ms
Building G from its roots took 2487ms
Computing roots of G took 1969ms
Building G from its roots took 2417ms
Computing G * H took 534ms
Reducing  G * H mod F took 590ms
Computing roots of G took 1979ms
Building G from its roots took 2456ms
Computing G * H took 539ms
Reducing  G * H mod F took 613ms
Computing polyeval(F,G) took 4317ms
Computing product of all F(g_i) took 23ms
Step 2 took 25612ms
********** Factor found in step 2: 3113441414307420333159360022418419139050956281869
Found prime factor of 49 digits: 3113441414307420333159360022418419139050956281869
Prime cofactor 1316720229439443224140214412006836530195466861302767931160615544002397303825049580491958271270040860464344292518969505172924713762924318214739718366807239670041194429410455598077365312347756382605407159357 has 205 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 06:23:01 UTC 2017 年 5 月 26 日 (金) 15 時 23 分 1 秒 (日本時間)
4511e61000 / 4218Dmitry DomanovJune 1, 2017 09:37:01 UTC 2017 年 6 月 1 日 (木) 18 時 37 分 1 秒 (日本時間)

34×10295-619

c232

composite cofactor 合成数の残り
2757453948329475099498228133710898631666781474476314980401607598086171625579285953725514193432422453466373864415596579267317828581280827913167360378101919382897548136992216986437395221774267011892877610629333881099212367113203028337<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 24, 2017 10:05:08 UTC 2017 年 5 月 24 日 (水) 19 時 5 分 8 秒 (日本時間)
4511e662081000Dmitry DomanovMay 28, 2017 14:11:14 UTC 2017 年 5 月 28 日 (日) 23 時 11 分 14 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 03:44:46 UTC 2021 年 1 月 3 日 (日) 12 時 44 分 46 秒 (日本時間)

34×10296-619

c251

name 名前Dmitry Domanov
date 日付June 1, 2017 14:37:06 UTC 2017 年 6 月 1 日 (木) 23 時 37 分 6 秒 (日本時間)
composite number 合成数
12022981985755927353852472483822934111184804631178957357937272704947418995353623759036127909682593518419912612903111545624057331908373390350172043228866390866471498973538520756530799232554827031453404744937467862465944217845726672148139549306097815361<251>
prime factors 素因数
347044335703982602982261171980056699415157339<45>
composite cofactor 合成数の残り
34643936664078376739738405656398720076968542954110033363337983362783191211758127620278719875837863101079625016530054194897349883462463768393644608476845529625568725004968934728185464846718417939153593489299<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1536107231
Step 1 took 131498ms
Step 2 took 36723ms
********** Factor found in step 2: 347044335703982602982261171980056699415157339
Found probable prime factor of 45 digits: 347044335703982602982261171980056699415157339

c206

name 名前Dmitry Domanov
date 日付June 22, 2017 08:45:26 UTC 2017 年 6 月 22 日 (木) 17 時 45 分 26 秒 (日本時間)
composite number 合成数
34643936664078376739738405656398720076968542954110033363337983362783191211758127620278719875837863101079625016530054194897349883462463768393644608476845529625568725004968934728185464846718417939153593489299<206>
prime factors 素因数
35610357057267270137253736709435118838603891<44>
972861255178241218794249242756383511549467370063012242282790755250465099769881341264756379084660296681131233144427996622626111740334083972961055707991277650773089<162>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2408665872
Step 1 took 380353ms
Step 2 took 88046ms
********** Factor found in step 2: 35610357057267270137253736709435118838603891
Found probable prime factor of 44 digits: 35610357057267270137253736709435118838603891
Probable prime cofactor 972861255178241218794249242756383511549467370063012242282790755250465099769881341264756379084660296681131233144427996622626111740334083972961055707991277650773089 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 06:23:31 UTC 2017 年 5 月 26 日 (金) 15 時 23 分 31 秒 (日本時間)
4511e61000 / 2814Dmitry DomanovJune 1, 2017 09:53:11 UTC 2017 年 6 月 1 日 (木) 18 時 53 分 11 秒 (日本時間)
5043e6400 / 7286Dmitry DomanovJune 21, 2017 14:19:16 UTC 2017 年 6 月 21 日 (水) 23 時 19 分 16 秒 (日本時間)

34×10297-619

c274

composite cofactor 合成数の残り
3411135636807970473920687304104171279492854984183112801114974430946126697347019449683567384937118519830245544404368608037456253476182935316027769599418744588174006560069542104987479543998495259403091540835256490349918310184995791460218075278133667474120841503343990042541343<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 06:22:07 UTC 2017 年 5 月 26 日 (金) 15 時 22 分 7 秒 (日本時間)
4511e662081000Dmitry DomanovJune 1, 2017 13:54:04 UTC 2017 年 6 月 1 日 (木) 22 時 54 分 4 秒 (日本時間)
5208Jason Parker-BurlinghamOctober 3, 2020 15:10:11 UTC 2020 年 10 月 4 日 (日) 0 時 10 分 11 秒 (日本時間)
5043e63315 / 6117Jason Parker-BurlinghamJanuary 3, 2021 04:08:40 UTC 2021 年 1 月 3 日 (日) 13 時 8 分 40 秒 (日本時間)

34×10298-619

c276

name 名前Jason Parker-Burlingham
date 日付August 1, 2018 01:40:13 UTC 2018 年 8 月 1 日 (水) 10 時 40 分 13 秒 (日本時間)
composite number 合成数
368723057148210132456501421131927334147361055183606599457148538113409172824333427465676370997078302466549209657669981830868762983424177739687605920173903240792833488878033738286206428157122899116067531736309038475545322210931225181793139466084224549426473595201537825667546951<276>
prime factors 素因数
2441618259409099890645665803237832360476111<43>
composite cofactor 合成数の残り
151015850134347133697765221920270269631645376100751240462189483943248557751716270649687429828738341658036757165512724395619607749084033662408983518499937684682336793545123658097780654127515639582588106716765134808149744897287891762441<234>
factorization results 素因数分解の結果
Run 18 out of 0:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:4021140792
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 263744ms
Using 32 small primes for NTT
Estimated memory usage: 359.37MB
Initializing tables of differences for F took 104ms
Computing roots of F took 4172ms
Building F from its roots took 4424ms
Computing 1/F took 2164ms
Initializing table of differences for G took 132ms
Computing roots of G took 3384ms
Building G from its roots took 5224ms
Computing roots of G took 3364ms
Building G from its roots took 5536ms
Computing G * H took 1132ms
Reducing  G * H mod F took 1240ms
Computing roots of G took 3668ms
Building G from its roots took 5548ms
Computing G * H took 1132ms
Reducing  G * H mod F took 1240ms
Computing roots of G took 3672ms
Building G from its roots took 5528ms
Computing G * H took 1140ms
Reducing  G * H mod F took 1244ms
Computing roots of G took 3668ms
Building G from its roots took 5552ms
Computing G * H took 1120ms
Reducing  G * H mod F took 1240ms
Computing polyeval(F,G) took 9612ms
Computing product of all F(g_i) took 52ms
Step 2 took 75500ms
********** Factor found in step 2: 2441618259409099890645665803237832360476111
Found prime factor of 43 digits: 2441618259409099890645665803237832360476111
Composite cofactor 1510158501343471336977652219202702696316453761007512404621894
83943248557751716270649687429828738341658036757165512724395619607749084033662408
98351849993768468233679354512365809778065412751563958258810671676513480814974489
7287891762441 has 234 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.99, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen 7 1700X Eight-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovMay 26, 2017 06:21:33 UTC 2017 年 5 月 26 日 (金) 15 時 21 分 33 秒 (日本時間)
4511e662081000Dmitry DomanovJune 1, 2017 13:53:37 UTC 2017 年 6 月 1 日 (木) 22 時 53 分 37 秒 (日本時間)
5208Jason Parker-BurlinghamOctober 3, 2020 15:10:41 UTC 2020 年 10 月 4 日 (日) 0 時 10 分 41 秒 (日本時間)
5043e64192 / 6117Jason Parker-BurlinghamJanuary 3, 2021 04:24:46 UTC 2021 年 1 月 3 日 (日) 13 時 24 分 46 秒 (日本時間)

34×10299-619

c300

name 名前Dmitry Domanov
date 日付May 22, 2017 11:17:09 UTC 2017 年 5 月 22 日 (月) 20 時 17 分 9 秒 (日本時間)
composite number 合成数
377777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<300>
prime factors 素因数
639883052132904681930421739299373833<36>
composite cofactor 合成数の残り
590385659564730524347510013999846726431041680911561759635537327314986078462558096041170790381664742477747090494725655558645751921596462079509460423227570274116895651391966153632793238408082951973207160513815329887652433181586174596650914107943750837116574885887187<264>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3176036381
Step 1 took 38371ms
Step 2 took 11030ms
********** Factor found in step 2: 639883052132904681930421739299373833
Found probable prime factor of 36 digits: 639883052132904681930421739299373833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 10:47:50 UTC 2017 年 5 月 22 日 (月) 19 時 47 分 50 秒 (日本時間)
4511e670081800Dmitry DomanovMay 22, 2017 14:33:16 UTC 2017 年 5 月 22 日 (月) 23 時 33 分 16 秒 (日本時間)
5208Jason Parker-BurlinghamJanuary 3, 2021 04:09:11 UTC 2021 年 1 月 3 日 (日) 13 時 9 分 11 秒 (日本時間)

34×10300-619

c260

composite cofactor 合成数の残り
24287702393821611288593448713258401821760789147191344889572852333608583421985429594632008689709600948736375165703706013763433979455015101606324305154860464671060685451138778544722065926911605421887402631156134249515845646702086388678867416111505399085104798081<260>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaMay 20, 2017 22:00:00 UTC 2017 年 5 月 21 日 (日) 7 時 0 分 0 秒 (日本時間)
403e61200Dmitry DomanovMay 22, 2017 10:35:33 UTC 2017 年 5 月 22 日 (月) 19 時 35 分 33 秒 (日本時間)
4511e61800Dmitry DomanovMay 25, 2017 14:40:04 UTC 2017 年 5 月 25 日 (木) 23 時 40 分 4 秒 (日本時間)
5043e69520800Dmitry DomanovMay 26, 2017 17:00:48 UTC 2017 年 5 月 27 日 (土) 2 時 0 分 48 秒 (日本時間)
8720Jason Parker-BurlinghamAugust 2, 2018 12:12:47 UTC 2018 年 8 月 2 日 (木) 21 時 12 分 47 秒 (日本時間)
5511e713212 / 1425011850Jason Parker-BurlinghamAugust 3, 2018 23:53:35 UTC 2018 年 8 月 4 日 (土) 8 時 53 分 35 秒 (日本時間)
1362Jason Parker-BurlinghamJanuary 3, 2021 04:10:44 UTC 2021 年 1 月 3 日 (日) 13 時 10 分 44 秒 (日本時間)

34×10301-619

c294

name 名前Jason Parker-Burlingham
date 日付October 27, 2019 04:26:12 UTC 2019 年 10 月 27 日 (日) 13 時 26 分 12 秒 (日本時間)
composite number 合成数
807599651437140088019383398758762566075398496330684047807362552055943606000424555136760504544271789852727481480985836989521040603932330493615809553674423188635394997238923679925578837014554254505391211045487226140493831082366644270265627150048502178536876794618551171593484159646612634782057607<294>
prime factors 素因数
330264871116089456153098112867127519098644161301<48>
2445308968852656144888583727801878568386760899667682553856302075797564829087960196505974451672499280018482478693346458585137155509178039573018378431037235929774765206026010590169588850016409117921590312324355249188744081173425740184819007570878507<247>
factorization results 素因数分解の結果
10/26/19 12:09:40 v1.34.5 @ 0d5585c3c2a0, scheduled 17769 curves at B1=110000000
 toward target pretesting depth of 65.33
10/26/19 19:44:07 v1.34.5 @ 0d5585c3c2a0, prp48 = 330264871116089456153098112867127519098644161301 (curve 19 stg2 B1=110000000 sigma=2843560875 thread=54)

***factors found***

P48 = 330264871116089456153098112867127519098644161301
P247 = 2445308968852656144888583727801878568386760899667682553856302075797564829087960196505974451672499280018482478693346458585137155509178039573018378431037235929774765206026010590169588850016409117921590312324355249188744081173425740184819007570878507
software ソフトウェア
yafu and GMP-ECM 7.0.4
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor with 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10302-619

c268

composite cofactor 合成数の残り
2170328041020916260994499063054528670664276983384007711408357323116107541865781898164424304886879944689483921396375936565719807899249900758256530989597659178365242283079601351098309077273796806015520018694395208903740523446711048156124823595430004648778504423685748277<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:25:49 UTC 2021 年 1 月 3 日 (日) 13 時 25 分 49 秒 (日本時間)

34×10305-619

c285

composite cofactor 合成数の残り
277038525437949386178247414978119234562869851788217668458084215048885667038244620632396373929498508064172369510920626359025004616248252258422231968996143867480389728388481099905951668971502700981234737665544199994244117030311001958214035007228091149381411894656789027314839726211635457<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:24:15 UTC 2021 年 1 月 3 日 (日) 13 時 24 分 15 秒 (日本時間)

34×10306-619

c284

composite cofactor 合成数の残り
21229025282095945531422915624851041718003438736882404949432924272278138987554531188371931154027173381571294743451481516193710823349656143792871748392750707834043526417901145223831029407995751566893741403699299734267039715251900981083542847871007060256435104035701412573706911958679769<284>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:11:01 UTC 2020 年 10 月 4 日 (日) 0 時 11 分 1 秒 (日本時間)
5043e63267 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:57:14 UTC 2021 年 1 月 3 日 (日) 12 時 57 分 14 秒 (日本時間)

34×10308-619

c264

name 名前Jason Parker-Burlingham
date 日付December 11, 2020 18:31:50 UTC 2020 年 12 月 12 日 (土) 3 時 31 分 50 秒 (日本時間)
composite number 合成数
236107345158848139138017311326625592797139532922858351665577232240142089090989108002279157376473324522229086841871211856342622250359775591932775576365115159325723253289574706715912823382033306302893781499857256562247254423830028089804007018457145116762687904175633<264>
prime factors 素因数
258174336183375109920595281918638432399239<42>
composite cofactor 合成数の残り
914526783139075023144674709465432930240674441894227759452838539864739830034307407908462002291042126039039215612992993587476483040647305554776496629409624804736262553204714495987214209971399493211131758013491811391809012647<222>
factorization results 素因数分解の結果
Run 2916 out of 5208:
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1127050721
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 75228ms
Using 31 small primes for NTT
Estimated memory usage: 167.07MB
Initializing tables of differences for F took 117ms
Computing roots of F took 2403ms
Building F from its roots took 2222ms
Computing 1/F took 1201ms
Initializing table of differences for G took 98ms
Computing roots of G took 2094ms
Building G from its roots took 2703ms
Computing roots of G took 2108ms
Building G from its roots took 2684ms
Computing G * H took 588ms
Reducing  G * H mod F took 664ms
Computing roots of G took 2098ms
Building G from its roots took 2699ms
Computing G * H took 578ms
Reducing  G * H mod F took 666ms
Computing polyeval(F,G) took 4687ms
Computing product of all F(g_i) took 25ms
Step 2 took 27753ms
********** Factor found in step 2: 258174336183375109920595281918638432399239
Found prime factor of 42 digits: 258174336183375109920595281918638432399239
Composite cofactor 914526783139075023144674709465432930240674441894227759452838539864739830034307407908462002291042126039039215612992993587476483040647305554776496629409624804736262553204714495987214209971399493211131758013491811391809012647 has 222 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:17:30 UTC 2021 年 1 月 3 日 (日) 13 時 17 分 30 秒 (日本時間)

34×10311-619

c310

composite cofactor 合成数の残り
3894616265750286368843069873997709049255441008018327605956471935853379152348224513172966781214203894616265750286368843069873997709049255441008018327605956471935853379152348224513172966781214203894616265750286368843069873997709049255441008018327605956471935853379152348224513172966781214203894616265750286368843<310>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:13:51 UTC 2021 年 1 月 3 日 (日) 13 時 13 分 51 秒 (日本時間)

34×10312-619

c280

name 名前Jason Parker-Burlingham
date 日付December 17, 2020 14:44:41 UTC 2020 年 12 月 17 日 (木) 23 時 44 分 41 秒 (日本時間)
composite number 合成数
1253163611269448251987818514225194202065229558510775970450870300628034205041671103945652864719125654182065059187114072462437630341381239796352469915608088804221335842180257490178865229206883599526436277367404459838802090730855017312873316513859883612074514435211615964444358749401<280>
prime factors 素因数
7784187187412312300768773856771416082936133649421<49>
composite cofactor 合成数の残り
160988370538663250998977599453502772971136512381952706428427288795781611996460898525167072183863770901037422953014841495760573800650383066086909827267574556167147725321133146381546078483508332134789624647681804561076693209551920381<231>
factorization results 素因数分解の結果
Run 2040 out of 8704:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2531973342
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
61      278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
Step 1 took 313092ms
Using 33 small primes for NTT
Estimated memory usage: 362.87MB
Initializing tables of differences for F took 131ms
Computing roots of F took 5430ms
Building F from its roots took 5547ms
Computing 1/F took 2799ms
Initializing table of differences for G took 174ms
Computing roots of G took 4357ms
Building G from its roots took 6800ms
Computing roots of G took 4354ms
Building G from its roots took 6805ms
Computing G * H took 1312ms
Reducing  G * H mod F took 1500ms
Computing roots of G took 4369ms
Building G from its roots took 6773ms
Computing G * H took 1311ms
Reducing  G * H mod F took 1499ms
Computing roots of G took 4363ms
Building G from its roots took 6755ms
Computing G * H took 1326ms
Reducing  G * H mod F took 1486ms
Computing roots of G took 4347ms
Building G from its roots took 6781ms
Computing G * H took 1331ms
Reducing  G * H mod F took 1503ms
Computing polyeval(F,G) took 11720ms
Computing product of all F(g_i) took 59ms
Step 2 took 93084ms
********** Factor found in step 2: 7784187187412312300768773856771416082936133649421
Found prime factor of 49 digits: 7784187187412312300768773856771416082936133649421
Composite cofactor 160988370538663250998977599453502772971136512381952706428427288795781611996460898525167072183863770901037422953014841495760573800650383066086909827267574556167147725321133146381546078483508332134789624647681804561076693209551920381 has 231 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:11:22 UTC 2020 年 10 月 4 日 (日) 0 時 11 分 22 秒 (日本時間)
5043e63689 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:43:44 UTC 2021 年 1 月 3 日 (日) 12 時 43 分 44 秒 (日本時間)

34×10313-619

c314

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<314>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e658802000Dmitry DomanovJanuary 22, 2020 07:34:00 UTC 2020 年 1 月 22 日 (水) 16 時 34 分 0 秒 (日本時間)
3880Jason Parker-BurlinghamJanuary 23, 2020 04:23:11 UTC 2020 年 1 月 23 日 (木) 13 時 23 分 11 秒 (日本時間)
5043e66144Jason Parker-BurlinghamJanuary 23, 2020 19:31:30 UTC 2020 年 1 月 24 日 (金) 4 時 31 分 30 秒 (日本時間)
5511e75184Jason Parker-BurlinghamJanuary 25, 2020 02:33:25 UTC 2020 年 1 月 25 日 (土) 11 時 33 分 25 秒 (日本時間)
6026e74767 / 392424320Jason Parker-BurlinghamJanuary 28, 2020 04:32:23 UTC 2020 年 1 月 28 日 (火) 13 時 32 分 23 秒 (日本時間)
447Jason Parker-BurlinghamJanuary 3, 2021 04:12:18 UTC 2021 年 1 月 3 日 (日) 13 時 12 分 18 秒 (日本時間)

34×10314-619

c278

composite cofactor 合成数の残り
71432447604381941099639172352848479280074087001479370135733802889205574386201427551532119734751907508821998915293476151127532922367971940509795040763153764363941466152004456311909934493312608405534506253448253017000091736405309403478080833344101618194491311581758706068417475661<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:59:50 UTC 2021 年 1 月 3 日 (日) 12 時 59 分 50 秒 (日本時間)

34×10315-619

c308

name 名前Jason Parker-Burlingham
date 日付September 9, 2020 00:50:09 UTC 2020 年 9 月 9 日 (水) 9 時 50 分 9 秒 (日本時間)
composite number 合成数
11563026176462660260452246937806373835293740524361491811589789208654889315718955208717348021878133838348909697146248302476763715448044932393402278604700963051903719778282605216903919541462918791012657357435494185038988063723079540182157201027030297598648776865420663465349685325557092121892575003767395470569<308>
prime factors 素因数
50179995420145983773015750269655569351<38>
composite cofactor 合成数の残り
230430993061039643169131046547159258461655286150330005234717213658727895912838998060435353081076865640360179447042039203155382105521325904303609039471275563530167372952890175684597825583005720892986550548819796604229152272371276313535871878966315018659731549492048787919<270>
factorization results 素因数分解の結果
Run 383 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3201464056
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 86603ms
********** Factor found in step 1: 50179995420145983773015750269655569351
Found prime factor of 38 digits: 50179995420145983773015750269655569351
Composite cofactor 230430993061039643169131046547159258461655286150330005234717213658727895912838998060435353081076865640360179447042039203155382105521325904303609039471275563530167372952890175684597825583005720892986550548819796604229152272371276313535871878966315018659731549492048787919 has 270 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor, w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:11:56 UTC 2020 年 10 月 4 日 (日) 0 時 11 分 56 秒 (日本時間)
5043e63401 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:43:12 UTC 2021 年 1 月 3 日 (日) 12 時 43 分 12 秒 (日本時間)

34×10316-619

c306

name 名前Jason Parker-Burlingham
date 日付September 12, 2020 15:17:52 UTC 2020 年 9 月 13 日 (日) 0 時 17 分 52 秒 (日本時間)
composite number 合成数
838848652302995274581619075806349491344934343879974267128103216654304909478113790735949415411884582167552334646178767981097397219503819488105969386389672818545517938010686840144182463080786315254807906885735059539707086082024637878494264231224563736138668113076305057829785829922140676739840506630962568511<306>
prime factors 素因数
126023520808503852854535359619656420083526058203<48>
composite cofactor 合成数の残り
6656286437018756852280960254851897788024657938597525607430487101754593319345687980875313360796250292469107729595001507454945934394963580063372903136551298587349043519231670921686271861183969823108206877324243035597808874866246489574908600239056050850215805037<259>
factorization results 素因数分解の結果
Run 2724 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:564126919
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
138 788 5208  39497 336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 96663ms
Using 36 small primes for NTT
Estimated memory usage: 189.92MB
Initializing tables of differences for F took 145ms
Computing roots of F took 2912ms
Building F from its roots took 2877ms
Computing 1/F took 1568ms
Initializing table of differences for G took 120ms
Computing roots of G took 2540ms
Building G from its roots took 3595ms
Computing roots of G took 2541ms
Building G from its roots took 3620ms
Computing G * H took 740ms
Reducing  G * H mod F took 861ms
Computing roots of G took 2553ms
Building G from its roots took 3598ms
Computing G * H took 745ms
Reducing  G * H mod F took 860ms
Computing polyeval(F,G) took 6217ms
Computing product of all F(g_i) took 34ms
Step 2 took 35643ms
********** Factor found in step 2: 126023520808503852854535359619656420083526058203
Found prime factor of 48 digits: 126023520808503852854535359619656420083526058203
Composite cofactor 6656286437018756852280960254851897788024657938597525607430487101754593319345687980875313360796250292469107729595001507454945934394963580063372903136551298587349043519231670921686271861183969823108206877324243035597808874866246489574908600239056050850215805037 has 259 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:12:23 UTC 2020 年 10 月 4 日 (日) 0 時 12 分 23 秒 (日本時間)
5043e63471 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:52:03 UTC 2021 年 1 月 3 日 (日) 12 時 52 分 3 秒 (日本時間)

34×10317-619

c309

name 名前Jason Parker-Burlingham
date 日付December 15, 2020 02:48:31 UTC 2020 年 12 月 15 日 (火) 11 時 48 分 31 秒 (日本時間)
composite number 合成数
645565796828444948392852167219794181855686360154270623026449940119870468536782641360175280941628818050638814896937872737005246155701296705047989349639280304118163388267380766032282088426519703263653651714065414740549672378690368309582575581729416994072528207280249831396299204336035180179490148344961286301121<309>
prime factors 素因数
602026557817379219989924084129688236691899<42>
1072321126777056684243756838481478259980683096419892719024675541787117942292978528117748477553396040972463652783172227730459773342511239836786165253195910186556115170393553870556467447326271284947231696703910077293243300759016042979630689821944072124534356597464268979<268>
factorization results 素因数分解の結果
Run 4735 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:4240146681
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 96524ms
Using 36 small primes for NTT
Estimated memory usage: 196.97MB
Initializing tables of differences for F took 155ms
Computing roots of F took 3097ms
Building F from its roots took 2855ms
Computing 1/F took 1505ms
Initializing table of differences for G took 129ms
Computing roots of G took 2709ms
Building G from its roots took 3477ms
Computing roots of G took 2710ms
Building G from its roots took 3481ms
Computing G * H took 709ms
Reducing  G * H mod F took 819ms
Computing roots of G took 2703ms
Building G from its roots took 3488ms
Computing G * H took 727ms
Reducing  G * H mod F took 817ms
Computing polyeval(F,G) took 5966ms
Computing product of all F(g_i) took 36ms
Step 2 took 35495ms
********** Factor found in step 2: 602026557817379219989924084129688236691899
Found prime factor of 42 digits: 602026557817379219989924084129688236691899
Prime cofactor 1072321126777056684243756838481478259980683096419892719024675541787117942292978528117748477553396040972463652783172227730459773342511239836786165253195910186556115170393553870556467447326271284947231696703910077293243300759016042979630689821944072124534356597464268979 has 268 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10318-619

c274

name 名前Jason Parker-Burlingham
date 日付December 9, 2020 04:53:46 UTC 2020 年 12 月 9 日 (水) 13 時 53 分 46 秒 (日本時間)
composite number 合成数
9527302466208162181858860990178424050764883404330192509432927120092793544284834578398121618272222916698205833722558666755565444521976814887977718477864429394620831401432819982664387707769748398219720474983192941647003195166017904205714957007405990316256744412864834039539009<274>
prime factors 素因数
2457484329041474082735779653668114228059<40>
composite cofactor 合成数の残り
3876851768134865412959824389464693458972917267340631642972384706287991449127609698664595365712199229582750201984396489784204014897912192033555555950285610765893550026589527219138835039386922712009581285156826794060903327464343170812051<235>
factorization results 素因数分解の結果
Run 308 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:249964603
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 81175ms
Using 32 small primes for NTT
Estimated memory usage: 175.87MB
Initializing tables of differences for F took 125ms
Computing roots of F took 2534ms
Building F from its roots took 2435ms
Computing 1/F took 1299ms
Initializing table of differences for G took 103ms
Computing roots of G took 2222ms
Building G from its roots took 2950ms
Computing roots of G took 2222ms
Building G from its roots took 2947ms
Computing G * H took 620ms
Reducing  G * H mod F took 701ms
Computing roots of G took 2211ms
Building G from its roots took 2823ms
Computing G * H took 587ms
Reducing  G * H mod F took 655ms
Computing polyeval(F,G) took 4735ms
Computing product of all F(g_i) took 25ms
Step 2 took 29313ms
********** Factor found in step 2: 2457484329041474082735779653668114228059
Found prime factor of 40 digits: 2457484329041474082735779653668114228059
Composite cofactor 3876851768134865412959824389464693458972917267340631642972384706287991449127609698664595365712199229582750201984396489784204014897912192033555555950285610765893550026589527219138835039386922712009581285156826794060903327464343170812051 has 235 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:20:37 UTC 2021 年 1 月 3 日 (日) 13 時 20 分 37 秒 (日本時間)

34×10319-619

c320

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<320>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJanuary 22, 2020 07:34:10 UTC 2020 年 1 月 22 日 (水) 16 時 34 分 10 秒 (日本時間)
5043e65000yoyo@HomeFebruary 21, 2020 22:58:59 UTC 2020 年 2 月 22 日 (土) 7 時 58 分 59 秒 (日本時間)
5511e71895 / 15838832Dmitry DomanovMay 23, 2020 21:34:14 UTC 2020 年 5 月 24 日 (日) 6 時 34 分 14 秒 (日本時間)
1063Jason Parker-BurlinghamJanuary 3, 2021 04:23:44 UTC 2021 年 1 月 3 日 (日) 13 時 23 分 44 秒 (日本時間)

34×10320-619

c307

composite cofactor 合成数の残り
6995346034850827437752350273854082695210698560155376863136238285848102992307252008797180798249830779550945974709226606027336815713989474750047033111519848355394237649296481234963763501780785040784433670486544040829675178724957205073226992945380011262424582013429119165582733053474150048951075732185243034627<307>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:15:25 UTC 2021 年 1 月 3 日 (日) 13 時 15 分 25 秒 (日本時間)

34×10321-619

c294

composite cofactor 合成数の残り
429532600351332991662839190807198933256384379908033956380202190749193540239909354358044765952890430234690653746906996288063047936346624980714179301191500035989890661069706042731373919871965740193637964466270142932354008455842782517869432269858710428010643136688676097134934004113358367006668611<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:53:36 UTC 2021 年 1 月 3 日 (日) 12 時 53 分 36 秒 (日本時間)

34×10322-619

c247

composite cofactor 合成数の残り
2141767992916960372251546310110816659746417473121792436114280454314759528455583059374597557213414189715882736480405728972830252871547225499131121306487999827571396515145558328015231898954447606680911080699006600793289780628528597319096961710343393<247>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:41:39 UTC 2021 年 1 月 3 日 (日) 12 時 41 分 39 秒 (日本時間)

34×10324-619

c302

composite cofactor 合成数の残り
12972515300265404094130039472205664908728198365185275931387354134959889488416153663172330931335019689324942754045348975897227022362868705170510992436410025088083375631290436440121977963023888839233400312684836364595193702205994048528410813730394690681257938268449564176129163895442215016198477118712233<302>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:06:36 UTC 2021 年 1 月 3 日 (日) 13 時 6 分 36 秒 (日本時間)

34×10325-619

c312

name 名前Jason Parker-Burlingham
date 日付December 10, 2020 02:37:09 UTC 2020 年 12 月 10 日 (木) 11 時 37 分 9 秒 (日本時間)
composite number 合成数
140439394707732111195357128083388338627064713358393672216405201773226844371506763805657148108602731305568822693225486190819411003451895741531996908240945829062500945639024933008114382036729592644382565410418987347224990248888923797938872363283965354984860187055468321834918278423398573430626710706908309478401371<312>
prime factors 素因数
3804633874543824841464894953104060868011831091<46>
composite cofactor 合成数の残り
36912722574276816127975048731980680121512346176526205756855912950998210680866465993800124900775026910842176277883882386789528497556242563124545754246160533738687360883367771063780265736428266035960061390222420979515191701154384276270746416171686550026408678074913081<266>
factorization results 素因数分解の結果
Run 1332 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3505281970
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 102837ms
********** Factor found in step 1: 3804633874543824841464894953104060868011831091
Found prime factor of 46 digits: 3804633874543824841464894953104060868011831091
Composite cofactor 36912722574276816127975048731980680121512346176526205756855912950998210680866465993800124900775026910842176277883882386789528497556242563124545754246160533738687360883367771063780265736428266035960061390222420979515191701154384276270746416171686550026408678074913081 has 266 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:42:10 UTC 2021 年 1 月 3 日 (日) 12 時 42 分 10 秒 (日本時間)

34×10327-619

c325

composite cofactor 合成数の残り
7919869555089680875844397856976473328674586536221756347542511064523643139995341253202888423014209177731190309806662007919869555089680875844397856976473328674586536221756347542511064523643139995341253202888423014209177731190309806662007919869555089680875844397856976473328674586536221756347542511064523643139995341253202888423<325>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:58:17 UTC 2021 年 1 月 3 日 (日) 12 時 58 分 17 秒 (日本時間)

34×10328-619

c294

composite cofactor 合成数の残り
340617733853984392107240643378491236017259404253207633163072531255091592922308076873643270766574494876568902442043155525707747838619904167848624267907376530551912597902028569057268464589302414065064872739356263380348518746119996511734607920825459302582149385866695604339281788659444215474929103<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:38:31 UTC 2021 年 1 月 3 日 (日) 12 時 38 分 31 秒 (日本時間)

34×10329-619

c296

composite cofactor 合成数の残り
16615814644092563095789490151405501383486615833766777885740177704839665792799868087627593177942260882514466987058047846394029624519920356255500833151468867155008085565387831709558868779203346463032211431790977304445252637677293778806925319152375757183328152948404672834971586402997060799721521249<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:12:39 UTC 2020 年 10 月 4 日 (日) 0 時 12 分 39 秒 (日本時間)
5043e63006 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:51:31 UTC 2021 年 1 月 3 日 (日) 12 時 51 分 31 秒 (日本時間)

34×10330-619

c278

composite cofactor 合成数の残り
97030109305520821851296755571968511344707774867989049294554015002266457769477066842883423378324057627346356940258952431554495855343892862983930394531796039433987350566976013538393032395042093808727954722592789174285129402788303634165063317809101247810167564665623279939263234873<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:07:38 UTC 2021 年 1 月 3 日 (日) 13 時 7 分 38 秒 (日本時間)

34×10331-619

c265

composite cofactor 合成数の残り
4256905619175150053639407572070561825755985820780872109300700405383324738867729896672948977514690629614306859753685443318321659426711325558806383445215880372749467287928658245223435853970993296630019132837347825968306152055258546030711556028306093774166933792560793<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:13:01 UTC 2020 年 10 月 4 日 (日) 0 時 13 分 1 秒 (日本時間)
5043e63477 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:27:22 UTC 2021 年 1 月 3 日 (日) 13 時 27 分 22 秒 (日本時間)

34×10332-619

c313

composite cofactor 合成数の残り
2569586219747612173730059058503372205473742928099629101272624148207928592607272532864613938559951264879083664713936292008927707717687815834619460787943160518910662741557579872130021357690944159526673626527734614269369544772222199435793237458987038012603439123101206462715644247090296627798277878514950205163682837<313>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:13:13 UTC 2020 年 10 月 4 日 (日) 0 時 13 分 13 秒 (日本時間)
5043e62673 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:02:57 UTC 2021 年 1 月 3 日 (日) 13 時 2 分 57 秒 (日本時間)

34×10334-619

c297

name 名前Jason Parker-Burlingham
date 日付December 11, 2020 18:31:41 UTC 2020 年 12 月 12 日 (土) 3 時 31 分 41 秒 (日本時間)
composite number 合成数
311218307500160782776595190241522837483755353455608091439213117995403818040036488178225352840630541666510250325629286520862885054288545195003825505450019757588872339706756335097259795673384454626105606776415098077662358954541973723057926320806332258446061209105920418858380047466185498952874907463<297>
prime factors 素因数
2867261965825249242698407779946406417683643<43>
108541985772334754636552569793957105769668046921072151071929649819687409167185117044412149511475795378927668412009473597628608712938648537699086813425060038011129645112701854673920447946642994533011929510024462112859937405517316925628198186622910591296741<255>
factorization results 素因数分解の結果
Run 2774 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2913265673
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 89545ms
Using 35 small primes for NTT
Estimated memory usage: 188.17MB
Initializing tables of differences for F took 133ms
Computing roots of F took 2701ms
Building F from its roots took 2628ms
Computing 1/F took 1412ms
Initializing table of differences for G took 111ms
Computing roots of G took 2362ms
Building G from its roots took 3224ms
Computing roots of G took 2359ms
Building G from its roots took 3223ms
Computing G * H took 669ms
Reducing  G * H mod F took 770ms
Computing roots of G took 2358ms
Building G from its roots took 3215ms
Computing G * H took 663ms
Reducing  G * H mod F took 768ms
Computing polyeval(F,G) took 5542ms
Computing product of all F(g_i) took 31ms
Step 2 took 32275ms
********** Factor found in step 2: 2867261965825249242698407779946406417683643
Found prime factor of 43 digits: 2867261965825249242698407779946406417683643
Prime cofactor 108541985772334754636552569793957105769668046921072151071929649819687409167185117044412149511475795378927668412009473597628608712938648537699086813425060038011129645112701854673920447946642994533011929510024462112859937405517316925628198186622910591296741 has 255 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10336-619

c273

composite cofactor 合成数の残り
874069118404990558662540588206021062887604018906686675682980782902675398115974997129389886984719865389633809471560621874996569543523663908586763820080531973880729220949300485561468847450301697992153868335756192489197136113716632855844359710286010744344738146414892698488373<273>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:13:30 UTC 2020 年 10 月 4 日 (日) 0 時 13 分 30 秒 (日本時間)
5043e63302 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:28:25 UTC 2021 年 1 月 3 日 (日) 13 時 28 分 25 秒 (日本時間)

34×10337-619

c313

name 名前Jason Parker-Burlingham
date 日付December 9, 2020 04:54:53 UTC 2020 年 12 月 9 日 (水) 13 時 54 分 53 秒 (日本時間)
composite number 合成数
3326672187839712067460363988907069102716584699962608795157256324380668411126597070037565521455091796005076097476118993414741611634978964214778494874014003330743633634787323188272955687305416142599807365631805708735713803645873770372797048297474534380431848766941266763669303441327236815441697872154497881048778831<313>
prime factors 素因数
34344242691859894180933244420091081857<38>
composite cofactor 合成数の残り
96862586771441135130588583749757394252501250471636780723887961526185472859726929295347657964102630774820739032785634666107460539252905062141596025505598459929001444385803569576744173882226300504092646460504519976335286223245082880736790856304363633653013074077391746545407183<275>
factorization results 素因数分解の結果
Run 306 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2489054575
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 103546ms
Using 36 small primes for NTT
Estimated memory usage: 196.97MB
Initializing tables of differences for F took 155ms
Computing roots of F took 3019ms
Building F from its roots took 2846ms
Computing 1/F took 1500ms
Initializing table of differences for G took 128ms
Computing roots of G took 2656ms
Building G from its roots took 3485ms
Computing roots of G took 2659ms
Building G from its roots took 3487ms
Computing G * H took 728ms
Reducing  G * H mod F took 825ms
Computing roots of G took 2655ms
Building G from its roots took 3463ms
Computing G * H took 726ms
Reducing  G * H mod F took 812ms
Computing polyeval(F,G) took 5944ms
Computing product of all F(g_i) took 35ms
Step 2 took 35233ms
********** Factor found in step 2: 34344242691859894180933244420091081857
Found prime factor of 38 digits: 34344242691859894180933244420091081857
Composite cofactor 96862586771441135130588583749757394252501250471636780723887961526185472859726929295347657964102630774820739032785634666107460539252905062141596025505598459929001444385803569576744173882226300504092646460504519976335286223245082880736790856304363633653013074077391746545407183 has 275 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]                                                                         
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:42:41 UTC 2021 年 1 月 3 日 (日) 12 時 42 分 41 秒 (日本時間)

34×10338-619

c300

composite cofactor 合成数の残り
951034277808057678308392978662486887542279363764015957349403351912959103275852593278662354652943565103397219898347681504926116101904695512771925966085512627822292654405997871473668537536331988283718590781024584212323270404547961604336266135154048815589284927320289897985939214356458644387239352774831<300>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:47:53 UTC 2021 年 1 月 3 日 (日) 12 時 47 分 53 秒 (日本時間)

34×10339-619

c304

name 名前Jason Parker-Burlingham
date 日付May 31, 2020 13:32:56 UTC 2020 年 5 月 31 日 (日) 22 時 32 分 56 秒 (日本時間)
composite number 合成数
3034415634407056448803327678008318529572804595815195089307642586829582808279245501408746783234390792716100788015837079875955973003263576819840536392706410799571327783122744370643098483585035206274186567118158580581094047070168326699433653279239113366186532000671259100170259839854883368644569234995915157<304>
prime factors 素因数
43417916135880371255703005556204680754421693<44>
composite cofactor 合成数の残り
69888559941720210094743661143104564077221708669095371648314322254473423992760582682076704931620690569921390772456997460430016310330838168006123576304087629977599217749587925639965715077012416067041039362545208067523622789864421468391157085883075036289315275449<260>
factorization results 素因数分解の結果
Performing 64 curve(s) with B1=43000000
thread 34 with sigma -1:730880043 found factor in step 2: 43417916135880371255703005556204680754421693
software ソフトウェア
GMP-ECM 7.0.5-dev w/ GMP 6.2.0
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65207Jason Parker-BurlinghamJanuary 2, 2021 21:26:35 UTC 2021 年 1 月 3 日 (日) 6 時 26 分 35 秒 (日本時間)

34×10340-619

c313

composite cofactor 合成数の残り
9100457480572831881180260026270627472701513911194329272487819659642251065198119444496817391964477009539846937501503307993320906195919595982655323258063635321229240098231822991779815654456383028190425595079306452536488711663953738063228256359423763413880986624435861333228736747402340751947361364024455687809630451<313>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:37:29 UTC 2021 年 1 月 3 日 (日) 12 時 37 分 29 秒 (日本時間)

34×10341-619

c299

composite cofactor 合成数の残り
29188143554596663351470866959181070886726821760311574491319288855321145824929553245624697949803806328753201391434076432066633962461140607144104601246939104813590567110822600815711302492230910339868436373235711720402734514516309648635859341030078218102738673628847672115016836452440117799435174531139<299>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:05:33 UTC 2021 年 1 月 3 日 (日) 13 時 5 分 33 秒 (日本時間)

34×10344-619

c305

composite cofactor 合成数の残り
13576758627154520412693775073864801942535515125914804850303792357004145979331847751423381250085280017095132863614178010894564202661366491583588281976317889068643302498393295186588597769709757496373712861951683013922393199816383988620539350795930201905040509877987647830889592912954508442841725051736980461<305>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:13:43 UTC 2020 年 10 月 4 日 (日) 0 時 13 分 43 秒 (日本時間)
5043e63001 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:11:16 UTC 2021 年 1 月 3 日 (日) 13 時 11 分 16 秒 (日本時間)

34×10345-619

c266

name 名前Jason Parker-Burlingham
date 日付December 9, 2020 04:55:56 UTC 2020 年 12 月 9 日 (水) 13 時 55 分 56 秒 (日本時間)
composite number 合成数
49922116841375982138757619905878232772605726341526479700386029067689979573181089478230280312200440689506344629063741907813643236278994355899986398301329458255645766955529692059881698864747099771478717896669967030580657065709476577168383694407026640743275767102764453<266>
prime factors 素因数
497633041379426296968858042356337556497105559<45>
composite cofactor 合成数の残り
100319136171089298281234069608713929907536959340084112656860762860582242489265386642478286846662518531294306499346776942796049553534471898184831589059172360899252410185148782632758024200444441047294005831006920459792588067<222>
factorization results 素因数分解の結果
Run 64 out of 5208:
Using MODMULN [mulredc:0, sqrredc:2]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3402376581
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 72343ms
Using 31 small primes for NTT
Estimated memory usage: 167.07MB
Initializing tables of differences for F took 111ms
Computing roots of F took 2285ms
Building F from its roots took 2113ms
Computing 1/F took 1132ms
Initializing table of differences for G took 89ms
Computing roots of G took 1911ms
Building G from its roots took 2477ms
Computing roots of G took 1927ms
Building G from its roots took 2486ms
Computing G * H took 531ms
Reducing  G * H mod F took 615ms
Computing roots of G took 1961ms
Building G from its roots took 2521ms
Computing G * H took 546ms
Reducing  G * H mod F took 619ms
Computing polyeval(F,G) took 4490ms
Computing product of all F(g_i) took 24ms
Step 2 took 25936ms
********** Factor found in step 2: 497633041379426296968858042356337556497105559
Found prime factor of 45 digits: 497633041379426296968858042356337556497105559
Composite cofactor 100319136171089298281234069608713929907536959340084112656860762860582242489265386642478286846662518531294306499346776942796049553534471898184831589059172360899252410185148782632758024200444441047294005831006920459792588067 has 222 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]                                                                         
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64000Dmitry DomanovDecember 14, 2020 21:21:23 UTC 2020 年 12 月 15 日 (火) 6 時 21 分 23 秒 (日本時間)

34×10346-619

c279

composite cofactor 合成数の残り
199363323421322445748249378341979301539700493161248480027616514900815396312154888380612284038223861214939083590111824387832908099586172419539349022511833626195300175508809025453674837686996230518678473080001047485141625845200914054197245357564410420918138685962800578198504050407<279>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:06:05 UTC 2021 年 1 月 3 日 (日) 13 時 6 分 5 秒 (日本時間)

34×10347-619

c312

composite cofactor 合成数の残り
592725029667291492217687980354311961254948844996181734217609036979656897257120602721529620311949630375304428406867518520553375488051529013417814141109557585583076881597701611507513736659163134646697711640796206255869077482056542271307668087868839136786304691761904171216392848613426910497349945780592510459807283<312>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:13:20 UTC 2021 年 1 月 3 日 (日) 13 時 13 分 20 秒 (日本時間)

34×10348-619

c330

composite cofactor 合成数の残り
230321272868263203932446365489394378617460909993921349994712267821916025130640452214683065405167837136876648975644631923238083477140421965130749754359315277100062403745995226421329974604579823314158499548138154562030605280316570080561864294420078670985791938435918116489663361648112708274205423060634119306409257665868723822164707<330>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:19:34 UTC 2021 年 1 月 3 日 (日) 13 時 19 分 34 秒 (日本時間)

34×10349-619

c239

name 名前Dmitry Domanov
date 日付January 20, 2020 06:03:09 UTC 2020 年 1 月 20 日 (月) 15 時 3 分 9 秒 (日本時間)
composite number 合成数
18300236954725211408563560500611501955884989900010030629330112493592166072090469660432700299339575519356969199362287683848977287973458354863360886030795017734919308866593891784820804092653023777417020638923444280492217076866712200359217933<239>
prime factors 素因数
7904363051287013130851756684647715869814526361<46>
composite cofactor 合成数の残り
2315207036415857638529896537330999330577984301718117226498400926014096001480572753424267667349712467411565408830273292462980130107378975991760839573549733145706839493581566424315486556007912853<193>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2464103249
Step 1 took 323056ms
Step 2 took 90644ms
********** Factor found in step 2: 7904363051287013130851756684647715869814526361
Found prime factor of 46 digits: 7904363051287013130851756684647715869814526361
Composite cofactor 2315207036415857638529896537330999330577984301718117226498400926014096001480572753424267667349712467411565408830273292462980130107378975991760839573549733145706839493581566424315486556007912853 has 193 digits

c193

name 名前Jason Parker-Burlingham
date 日付September 22, 2020 15:16:17 UTC 2020 年 9 月 23 日 (水) 0 時 16 分 17 秒 (日本時間)
composite number 合成数
2315207036415857638529896537330999330577984301718117226498400926014096001480572753424267667349712467411565408830273292462980130107378975991760839573549733145706839493581566424315486556007912853<193>
prime factors 素因数
17633141978772607136170947633363091082763605297931379<53>
131298610264862882695376629797948948650817795045745826826800176309230512168929481562744261587688858355064655844482119690022316036458706510807<141>
factorization results 素因数分解の結果
Run 2039 out of 20479:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=1:390945163
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
38  151 692 3583  20479 128305  872747  6392233 5e+07 4.3e+08
Step 1 took 447685ms
Using 24 small primes for NTT
Estimated memory usage: 528.62MB
Initializing tables of differences for F took 484ms
Computing roots of F took 14221ms
Building F from its roots took 7879ms
Computing 1/F took 3685ms
Initializing table of differences for G took 375ms
Computing roots of G took 11415ms
Building G from its roots took 9186ms
Computing roots of G took 11390ms
Building G from its roots took 9244ms
Computing G * H took 1824ms
Reducing  G * H mod F took 1941ms
Computing roots of G took 11139ms
Building G from its roots took 9216ms
Computing G * H took 1852ms
Reducing  G * H mod F took 2054ms
Computing roots of G took 11930ms
Building G from its roots took 9563ms
Computing G * H took 1874ms
Reducing  G * H mod F took 2059ms
Computing polyeval(F,G) took 17005ms
Computing product of all F(g_i) took 68ms
Step 2 took 138800ms
********** Factor found in step 2: 17633141978772607136170947633363091082763605297931379
Found prime factor of 53 digits: 17633141978772607136170947633363091082763605297931379
Prime cofactor 131298610264862882695376629797948948650817795045745826826800176309230512168929481562744261587688858355064655844482119690022316036458706510807 has 141 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64000Dmitry DomanovAugust 6, 2019 18:57:51 UTC 2019 年 8 月 7 日 (水) 3 時 57 分 51 秒 (日本時間)
5043e66800Dmitry DomanovJanuary 20, 2020 06:02:50 UTC 2020 年 1 月 20 日 (月) 15 時 2 分 50 秒 (日本時間)

34×10351-619

c347

composite cofactor 合成数の残り
13273944145585496107806289428982251565446986404748324066949089348870094545619227542340953748503265195054753067549930526518802737087282819729297429656880256140272795168596659104422604902223737013495306684719230704662941373283220290082528795674568177124387397717428181129995248708816124250363764631107331941130838534572182732238389105371301498511171<347>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:14:05 UTC 2020 年 10 月 4 日 (日) 0 時 14 分 5 秒 (日本時間)
5043e61829 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:44:15 UTC 2021 年 1 月 3 日 (日) 12 時 44 分 15 秒 (日本時間)

34×10352-619

c291

composite cofactor 合成数の残り
115734235058718010772848784887223375933185326910512911748351798949327329997110894977591550808780281488231389322392355149028822651386385069412433003766664053459233592119063004325203341029187541348129016496046222708729278982272721320031512469688282232124224015192764103645289251743992636491169<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:09:42 UTC 2021 年 1 月 3 日 (日) 13 時 9 分 42 秒 (日本時間)

34×10353-619

c266

composite cofactor 合成数の残り
76411822831932517182446915901524916989666648540857236465047681163399107379791149658509271023501457847052968433204501231130763000199231383930104652713753540934839804167889263258638834993870963981186086902174229503413223087735526445261044998854042111882984289643430493<266>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:54:08 UTC 2021 年 1 月 3 日 (日) 12 時 54 分 8 秒 (日本時間)

34×10354-619

c346

composite cofactor 合成数の残り
5672958661413693152723061444938007031494441297145377195994977213791515719477211090770267330953907930507505115994671234423526105152176100799673651106418643265494613685344662981945533587852392305947235016942275191398087709405966867341555966891443287691632854343892992434381984630651206848532114029244839717917022653790950612705706125797764546179007<346>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:14:22 UTC 2020 年 10 月 4 日 (日) 0 時 14 分 22 秒 (日本時間)
5043e61600 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:26:51 UTC 2021 年 1 月 3 日 (日) 13 時 26 分 51 秒 (日本時間)

34×10355-619

c327

name 名前Jason Parker-Burlingham
date 日付September 21, 2020 23:40:52 UTC 2020 年 9 月 22 日 (火) 8 時 40 分 52 秒 (日本時間)
composite number 合成数
361050505301501477477652195214617572878537096148459187595760264740434088914182214107721551318807151820015390626805972759646544643523030998840629036556549952824188489460379754317819981545877148681399027691930625106162994649680010930805069869306992859825724325761115582907682114181033390031626031973147838014263137258322944803719<327>
prime factors 素因数
7997790629297474319792242906789429182052082493<46>
45143780580964788601554604463685245140498532696625427916814488403839244545379500797719160255786534372567986862032718398707294918318006968868791827442823737851292638856982481153483861735632517320254598644451083029462025211956356025393194564119204660544920392882696197838829318577683<281>
factorization results 素因数分解の結果
Run 4046 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1953867352
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
138 788 5208  39497 336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 99968ms
Using 38 small primes for NTT
Estimated memory usage: 200.47MB
Initializing tables of differences for F took 157ms
Computing roots of F took 3034ms
Building F from its roots took 3007ms
Computing 1/F took 1625ms
Initializing table of differences for G took 130ms
Computing roots of G took 2660ms
Building G from its roots took 3763ms
Computing roots of G took 2660ms
Building G from its roots took 3739ms
Computing G * H took 762ms
Reducing  G * H mod F took 891ms
Computing roots of G took 2658ms
Building G from its roots took 3760ms
Computing G * H took 767ms
Reducing  G * H mod F took 878ms
Computing polyeval(F,G) took 6423ms
Computing product of all F(g_i) took 36ms
Step 2 took 37063ms
********** Factor found in step 2: 7997790629297474319792242906789429182052082493
Found prime factor of 46 digits: 7997790629297474319792242906789429182052082493
Prime cofactor 45143780580964788601554604463685245140498532696625427916814488403839244545379500797719160255786534372567986862032718398707294918318006968868791827442823737851292638856982481153483861735632517320254598644451083029462025211956356025393194564119204660544920392882696197838829318577683 has 281 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10356-619

c338

composite cofactor 合成数の残り
34556701693421441726913971945773554557021588800974208315492648740364377206113902213208757350129706819193959903831078984950964845077775133065600519229464820726919636629964871275798193540319394865340553569624963206796659764975084280573448609757178857698472577795682716031404325905882649965744649613157474606674850227591894433632797346633053<338>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:18:32 UTC 2021 年 1 月 3 日 (日) 13 時 18 分 32 秒 (日本時間)

34×10357-619

c333

name 名前Jason Parker-Burlingham
date 日付December 18, 2020 23:03:30 UTC 2020 年 12 月 19 日 (土) 8 時 3 分 30 秒 (日本時間)
composite number 合成数
702970806307642142930257039156734108288046097166919065512866722592576612908486065999763377481300237898116401523747813315192367246937658141111522383607367590512186123092167100385798131703501263401185757824380413251640455347132117163074036597775173427097441290602264286818638985851894080717494814881147808629678618451406192007987595461<333>
prime factors 素因数
640702708513603135116611939059455481930234911077<48>
composite cofactor 合成数の残り
1097187193009528158246473598676481710729385505198366198836152198906978562383119234082188155183681434752331637934853295525815605774407811069187235933311023006530091250865330251554226208362239615850928621792238939300937774931711543966280604301778652398700964833058330163004829414459648993<286>
factorization results 素因数分解の結果
37771_357.11e6.out-Run 2902 out of 5208:
37771_357.11e6.out-Using MODMULN [mulredc:1, sqrredc:2]
37771_357.11e6.out-Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2204266553
37771_357.11e6.out-dF=32768, k=3, d=324870, d2=11, i0=23
37771_357.11e6.out-Expected number of curves to find a factor of n digits (assuming one exists):
37771_357.11e6.out-35   40      45      50      55      60      65      70      75      80
37771_357.11e6.out-138  788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
37771_357.11e6.out-Step 1 took 110250ms
37771_357.11e6.out-Using 39 small primes for NTT
37771_357.11e6.out-Estimated memory usage: 209.27MB
37771_357.11e6.out-Initializing tables of differences for F took 161ms
37771_357.11e6.out-Computing roots of F took 3167ms
37771_357.11e6.out-Building F from its roots took 3070ms
37771_357.11e6.out-Computing 1/F took 1631ms
37771_357.11e6.out-Initializing table of differences for G took 133ms
37771_357.11e6.out-Computing roots of G took 2762ms
37771_357.11e6.out-Building G from its roots took 3778ms
37771_357.11e6.out-Computing roots of G took 2765ms
37771_357.11e6.out-Building G from its roots took 3784ms
37771_357.11e6.out-Computing G * H took 776ms
37771_357.11e6.out-Reducing  G * H mod F took 899ms
37771_357.11e6.out-Computing roots of G took 2766ms
37771_357.11e6.out-Building G from its roots took 3788ms
37771_357.11e6.out-Computing G * H took 774ms
37771_357.11e6.out-Reducing  G * H mod F took 899ms
37771_357.11e6.out-Computing polyeval(F,G) took 6483ms
37771_357.11e6.out-Computing product of all F(g_i) took 37ms
37771_357.11e6.out-Step 2 took 37790ms
37771_357.11e6.out:********** Factor found in step 2: 640702708513603135116611939059455481930234911077
37771_357.11e6.out-Found prime factor of 48 digits: 640702708513603135116611939059455481930234911077
37771_357.11e6.out-Composite cofactor 1097187193009528158246473598676481710729385505198366198836152198906978562383119234082188155183681434752331637934853295525815605774407811069187235933311023006530091250865330251554226208362239615850928621792238939300937774931711543966280604301778652398700964833058330163004829414459648993 has 286 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:22:10 UTC 2021 年 1 月 3 日 (日) 13 時 22 分 10 秒 (日本時間)

34×10359-619

c290

composite cofactor 合成数の残り
75961183277431427197838825366378088574659805101596751802500882972857860119869794760925525387925802994618331284311334179013559795895102784821042108181113845997034017128241486431253095595763098554129260793241782719990939902794103921704862201804231593513626851948247928406011620480981755986387<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:46:19 UTC 2021 年 1 月 3 日 (日) 12 時 46 分 19 秒 (日本時間)

34×10360-619

c324

name 名前Jason Parker-Burlingham
date 日付December 18, 2020 23:03:39 UTC 2020 年 12 月 19 日 (土) 8 時 3 分 39 秒 (日本時間)
composite number 合成数
691535139369406515943237407559105723285505923069044880090991422184660769238143203178536127447358289091679959852097138383242703809152309727428173816608941222816167188318552625752509910384320805107737196962805077752481329706583497872333607210884178896926738695486741554767260187427625635210240559749641985210027482764999542699<324>
prime factors 素因数
394988465432566694767509239436442237658485841<45>
composite cofactor 合成数の残り
1750772996907847492160570167375430324503672339394446436056460464226250995542599944448604979934524806127977675537913305578022739950400628387283580676786229645653658950325168227675974947332567053547572257194532793532283390667708752412045867352933974793800875203172002487117448218939<280>
factorization results 素因数分解の結果
37771_360.11e6.out-Run 288 out of 5208:
37771_360.11e6.out-Using MODMULN [mulredc:1, sqrredc:1]
37771_360.11e6.out-Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2366796219
37771_360.11e6.out-dF=32768, k=3, d=324870, d2=11, i0=23
37771_360.11e6.out-Expected number of curves to find a factor of n digits (assuming one exists):
37771_360.11e6.out-35   40      45      50      55      60      65      70      75      80
37771_360.11e6.out-138  788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
37771_360.11e6.out-Step 1 took 100277ms
37771_360.11e6.out-Using 38 small primes for NTT
37771_360.11e6.out-Estimated memory usage: 200.47MB
37771_360.11e6.out-Initializing tables of differences for F took 151ms
37771_360.11e6.out-Computing roots of F took 2949ms
37771_360.11e6.out-Building F from its roots took 2863ms
37771_360.11e6.out-Computing 1/F took 1551ms
37771_360.11e6.out-Initializing table of differences for G took 125ms
37771_360.11e6.out-Computing roots of G took 2584ms
37771_360.11e6.out-Building G from its roots took 3592ms
37771_360.11e6.out-Computing roots of G took 2582ms
37771_360.11e6.out-Building G from its roots took 3595ms
37771_360.11e6.out-Computing G * H took 737ms
37771_360.11e6.out-Reducing  G * H mod F took 851ms
37771_360.11e6.out-Computing roots of G took 2591ms
37771_360.11e6.out-Building G from its roots took 3592ms
37771_360.11e6.out-Computing G * H took 736ms
37771_360.11e6.out-Reducing  G * H mod F took 850ms
37771_360.11e6.out-Computing polyeval(F,G) took 6139ms
37771_360.11e6.out-Computing product of all F(g_i) took 35ms
37771_360.11e6.out-Step 2 took 35632ms
37771_360.11e6.out:********** Factor found in step 2: 394988465432566694767509239436442237658485841
37771_360.11e6.out-Found prime factor of 45 digits: 394988465432566694767509239436442237658485841
37771_360.11e6.out-Composite cofactor 1750772996907847492160570167375430324503672339394446436056460464226250995542599944448604979934524806127977675537913305578022739950400628387283580676786229645653658950325168227675974947332567053547572257194532793532283390667708752412045867352933974793800875203172002487117448218939 has 280 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:55:10 UTC 2021 年 1 月 3 日 (日) 12 時 55 分 10 秒 (日本時間)

34×10361-619

c308

composite cofactor 合成数の残り
91811063681273653022662493668426446162973370463981390041373828254967314044935449078955666124248156243442127953720149224855518479727680040108698868552067528517534285867206945191075188144979298972374792507034777556691346776876512320528914121514438033651814524399035780220216745596271861525730653231851796950959<308>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:16:59 UTC 2021 年 1 月 3 日 (日) 13 時 16 分 59 秒 (日本時間)

34×10362-619

c338

composite cofactor 合成数の残り
13010649015892070934666700031488597908004238382576269116304735713206147105122780280472478815820104002128844821313223497028514267155104070940902857279667113966838274384177066412869690615746611623611269290267683635352401184211896757803364585817805195651111196118935890837898725253718752632276952340563494491589299303835426111682110009565851<338>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:14:37 UTC 2020 年 10 月 4 日 (日) 0 時 14 分 37 秒 (日本時間)
5043e61453 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:46:51 UTC 2021 年 1 月 3 日 (日) 12 時 46 分 51 秒 (日本時間)

34×10363-619

c307

name 名前Jason Parker-Burlingham
date 日付December 20, 2020 14:56:37 UTC 2020 年 12 月 20 日 (日) 23 時 56 分 37 秒 (日本時間)
composite number 合成数
2018184923136713693533679326015166616609449760022550638010954853188651056245221427618753557527760455425300075398074567109365952406027185541191080287290452025392546395100049448146928589117283982515277321850889646926689812317633074794032996647669750102050227451116953362581670543157129814640502177887243750283<307>
prime factors 素因数
30641635496898669958580651426394329646611507<44>
composite cofactor 合成数の残り
65864138464181525976472408841229876515788968611278719002847861290037290883029883659936259127096710981987716628493846830770729837847559360535316237372302557510254626691591829939669485900144839856054436500631531782355302678132396822939145536929041532544092039600969<263>
factorization results 素因数分解の結果
Run 4636 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3157940511
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 88052ms
Using 36 small primes for NTT
Estimated memory usage: 189.92MB
Initializing tables of differences for F took 137ms
Computing roots of F took 2761ms
Building F from its roots took 2747ms
Computing 1/F took 1496ms
Initializing table of differences for G took 114ms
Computing roots of G took 2407ms
Building G from its roots took 3410ms
Computing roots of G took 2418ms
Building G from its roots took 3401ms
Computing G * H took 718ms
Reducing  G * H mod F took 820ms
Computing roots of G took 2412ms
Building G from its roots took 3410ms
Computing G * H took 714ms
Reducing  G * H mod F took 818ms
Computing polyeval(F,G) took 5880ms
Computing product of all F(g_i) took 33ms
Step 2 took 33805ms
********** Factor found in step 2: 30641635496898669958580651426394329646611507
Found prime factor of 44 digits: 30641635496898669958580651426394329646611507
Composite cofactor 65864138464181525976472408841229876515788968611278719002847861290037290883029883659936259127096710981987716628493846830770729837847559360535316237372302557510254626691591829939669485900144839856054436500631531782355302678132396822939145536929041532544092039600969 has 263 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:52:34 UTC 2021 年 1 月 3 日 (日) 12 時 52 分 34 秒 (日本時間)

34×10364-619

c306

composite cofactor 合成数の残り
118351611656018907805954310870358811589546798061923467394674681052535383223631595813221835701444812327925906144882077159130736279559567806459532930223575674584697682533501331615250398790209236854513720278280578961509513196112274205954024506644336418961005277244101399599801506034054157424480788097988192889<306>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 03:41:07 UTC 2021 年 1 月 3 日 (日) 12 時 41 分 7 秒 (日本時間)

34×10365-619

c335

composite cofactor 合成数の残り
67703469452722313418514081657683513898984840206938733366170265751333053543582812285762040141943587988183242727746153309772974527876042080713152076264861214683840875893884572481646350045805675684847724847733267876801204032266953738825403044433735739981117805249357135955245158351392070502701147258025218241600502376249889692929999549871<335>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:14:52 UTC 2020 年 10 月 4 日 (日) 0 時 14 分 52 秒 (日本時間)
5043e61447 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:48:24 UTC 2021 年 1 月 3 日 (日) 12 時 48 分 24 秒 (日本時間)

34×10366-619

c345

composite cofactor 合成数の残り
201175447019131748438832653780375076638675916773064879827724047255073719989148328154638011251517118640969879755711605291497741195428659460550154095156217913781402633511482966564292273302548006146657071990445275604810305364511953170633997448717106084458590722748803663658419894259795634503393016992812512689772596664638969894590977165746623029071<345>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65173Jason Parker-BurlinghamJanuary 3, 2021 04:18:01 UTC 2021 年 1 月 3 日 (日) 13 時 18 分 1 秒 (日本時間)

34×10368-619

c368

name 名前Jason Parker-Burlingham
date 日付December 20, 2020 21:20:15 UTC 2020 年 12 月 21 日 (月) 6 時 20 分 15 秒 (日本時間)
composite number 合成数
53968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253968253<368>
prime factors 素因数
2413906728157134903430754031095998796434813<43>
composite cofactor 合成数の残り
22357224220281003328449517217838516034129921661116884022224975132003483577970663929042144348015366997507530500580794251594896693103646553470188863831526559644485501466604401614317564421796715884001151278467361826364465369934866815515890956226304952271129684664489803568790577369903737565102816044072830548569329228969999546881<326>
factorization results 素因数分解の結果
Run 3286 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1921805232
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 131554ms
Using 42 small primes for NTT
Estimated memory usage: 228.62MB
Initializing tables of differences for F took 192ms
Computing roots of F took 3707ms
Building F from its roots took 3517ms
Computing 1/F took 1853ms
Initializing table of differences for G took 158ms
Computing roots of G took 3246ms
Building G from its roots took 4341ms
Computing roots of G took 3270ms
Building G from its roots took 4334ms
Computing G * H took 879ms
Reducing  G * H mod F took 1014ms
Computing roots of G took 3254ms
Building G from its roots took 4342ms
Computing G * H took 868ms
Reducing  G * H mod F took 1013ms
Computing polyeval(F,G) took 7402ms
Computing product of all F(g_i) took 45ms
Step 2 took 43550ms
********** Factor found in step 2: 2413906728157134903430754031095998796434813
Found prime factor of 43 digits: 2413906728157134903430754031095998796434813
Composite cofactor 22357224220281003328449517217838516034129921661116884022224975132003483577970663929042144348015366997507530500580794251594896693103646553470188863831526559644485501466604401614317564421796715884001151278467361826364465369934866815515890956226304952271129684664489803568790577369903737565102816044072830548569329228969999546881 has 326 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64772Jason Parker-BurlinghamJanuary 3, 2021 04:04:31 UTC 2021 年 1 月 3 日 (日) 13 時 4 分 31 秒 (日本時間)

34×10370-619

c356

composite cofactor 合成数の残り
18609126872237372458767164276062165931192506536714918113914812760723149620226138385184481581136110375515880820502802228539498319468104165333924522319592697704417769046829553629692898334983036061124760985977830057078658825484054591358953795369716051462950531795326099231883943392755165687313056656567475415453350424713983298220401648225444545316301716431521<356>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64793Jason Parker-BurlinghamJanuary 3, 2021 03:39:02 UTC 2021 年 1 月 3 日 (日) 12 時 39 分 2 秒 (日本時間)

34×10371-619

c294

name 名前Jason Parker-Burlingham
date 日付December 18, 2020 23:03:49 UTC 2020 年 12 月 19 日 (土) 8 時 3 分 49 秒 (日本時間)
composite number 合成数
833222001856903665368616049663249241928632162604891613321595697560790961274522693062312367117949694729653789509227766279315230306097370818127199938383524497484448054708659260099751883645493620966840825779725539916355691075259839147232245820649122787624766855155791929675257157253079036759540829<294>
prime factors 素因数
2087438587549225515720580135351183759878533<43>
composite cofactor 合成数の残り
399160007305965741688651882969446204473551148788841784502194193919193296034349785676417901634568806806243407874803598851029962405747656556319862657166371984343952355588637260745704361887449386928058367218584630718692944892728490331468173106912039320313<252>
factorization results 素因数分解の結果
37771_371.43e6.out-Run 33 out of 8704:
37771_371.43e6.out-Using MODMULN [mulredc:1, sqrredc:1]
37771_371.43e6.out-Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:3566375697
37771_371.43e6.out-dF=65536, k=5, d=690690, d2=17, i0=46
37771_371.43e6.out-Expected number of curves to find a factor of n digits (assuming one exists):
37771_371.43e6.out-35   40      45      50      55      60      65      70      75      80
37771_371.43e6.out-61   278     1459    8704    57844   419970  3346252 2.9e+07 2.6e+08 2.7e+09
37771_371.43e6.out-Step 1 took 358272ms
37771_371.43e6.out:********** Factor found in step 1: 2087438587549225515720580135351183759878533
37771_371.43e6.out-Found prime factor of 43 digits: 2087438587549225515720580135351183759878533
37771_371.43e6.out-Composite cofactor 399160007305965741688651882969446204473551148788841784502194193919193296034349785676417901634568806806243407874803598851029962405747656556319862657166371984343952355588637260745704361887449386928058367218584630718692944892728490331468173106912039320313 has 252 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:15:04 UTC 2020 年 10 月 4 日 (日) 0 時 15 分 4 秒 (日本時間)
5043e61985 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:57:46 UTC 2021 年 1 月 3 日 (日) 12 時 57 分 46 秒 (日本時間)

34×10372-619

c344

composite cofactor 合成数の残り
32879908007073210496348961486453861417640715319328866541222193830875673152159264141965991845562492486346597495366821170941017262879273454377743191294873654837737060353794908333725096884976555595803678516340450074619477760875151262609344692744647830768666429888196700174527684355640995190419209016380222387191351010513683525813564307931334772939<344>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65111Jason Parker-BurlinghamJanuary 3, 2021 04:27:54 UTC 2021 年 1 月 3 日 (日) 13 時 27 分 54 秒 (日本時間)

34×10373-619

c359

composite cofactor 合成数の残り
16695750902669952019333149021557388798590845307266322686793245282530369747673459967295061697858046923989808925835511673358006537258563943582559916975211363866044366548897380115495053963757035478817367785341833124507089754839719966775688479513053086619828215757982987830335425866363311960132271689468410248860295391850044182075827550609045513843211607775806319<359>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:15:20 UTC 2020 年 10 月 4 日 (日) 0 時 15 分 20 秒 (日本時間)
5043e61296 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:21:08 UTC 2021 年 1 月 3 日 (日) 13 時 21 分 8 秒 (日本時間)

34×10374-619

c361

composite cofactor 合成数の残り
4554373662041961009984836638150589627375077500471860792137276939918161395029870688389387385067622372062274212022656718226173193759756857350358708953098635602297577044469464722173710581479996727973625831369483572286805938904062512939504677802798433778987402199832438057243931835435088037337246943374149878628622133580671550197873048103608924872794725656726658231<361>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64697Jason Parker-BurlinghamJanuary 3, 2021 03:49:58 UTC 2021 年 1 月 3 日 (日) 12 時 49 分 58 秒 (日本時間)

34×10376-619

c359

composite cofactor 合成数の残り
80815127423831860048886634760985204032904836452872531609229242945617221343400368612330932637639280165734414468760317789457867299993201369020758013556101690772507358506435463244119644562187894004666150182388052923316501883933798500117158050773659399113297990766264680519520114173534079397732350416973212855516936186466829851869537214298371515196485534118757141<359>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64489Jason Parker-BurlinghamJanuary 3, 2021 04:03:28 UTC 2021 年 1 月 3 日 (日) 13 時 3 分 28 秒 (日本時間)

34×10377-619

c357

composite cofactor 合成数の残り
285523880850788205223964519736094566736130091283299209095928306591612710187070616287601412018303353306629675419084427923482471660417646169867642975116211667555010941930129874811702938935432271770322023991069645266261885285936996612455275489396921452585185912990477570040696707960647808635214532067651970774011779267985243067893222544346979474706529331150779<357>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64440Jason Parker-BurlinghamJanuary 3, 2021 04:11:47 UTC 2021 年 1 月 3 日 (日) 13 時 11 分 47 秒 (日本時間)

34×10379-619

c378

composite cofactor 合成数の残り
712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807127882599580712788259958071278825995807<378>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64238Jason Parker-BurlinghamJanuary 3, 2021 03:55:41 UTC 2021 年 1 月 3 日 (日) 12 時 55 分 41 秒 (日本時間)

34×10380-619

c357

name 名前Jason Parker-Burlingham
date 日付August 11, 2019 14:48:59 UTC 2019 年 8 月 11 日 (日) 23 時 48 分 59 秒 (日本時間)
composite number 合成数
729175508693609387825578789508214361003439445660161733296965267088059679248062126683784665490424739773741550835818626573250879803754583629699581589531777722453495794677892556700659276461567262928882538588072370925902330388988377135607570391065195722419960538417862457033612518399694316471647130058708405073229246250656021641044649986410491242922967951006333<357>
prime factors 素因数
401939371823877029<18>
composite cofactor 合成数の残り
1814143027056134345479443487335682973151485157830506169862050558605128844610442976545162189648945414313826574375987454225067210635438628892259479367955414259967061772886130294998549653677167681461985230728625493597945779414214906279322492740188759141883557252733641372245710998742680723443995736690592944277452330169930141457865643882281977<340>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/corei7/params.h
Running on chi
Input number is 729175508693609387825578789508214361003439445660161733296965267088059679248062126683784665490424739773741550835818626573250879803754583629699581589531777722453495794677892556700659276461567262928882538588072370925902330388988377135607570391065195722419960538417862457033612518399694316471647130058708405073229246250656021641044649986410491242922967951006333 (357 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Computing batch product (of 4328086 bits) of primes up to B1=3000000 took 140ms
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1420085977
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
35  40  45  50  55  60  65  70  75  80
374 2753  24017 241048  2713723 3.4e+07 4.8e+08 7.4e+09 1.6e+11 1.8e+16
Step 1 took 39802ms
Using 41 small primes for NTT
Estimated memory usage: 172.56MB
Initializing tables of differences for F took 59ms
Computing roots of F took 1166ms
Building F from its roots took 1574ms
Computing 1/F took 3111ms
Initializing table of differences for G took 49ms
Computing roots of G took 1054ms
Building G from its roots took 1562ms
Computing roots of G took 1079ms
Building G from its roots took 1571ms
Computing G * H took 1616ms
Reducing  G * H mod F took 1667ms
Computing polyeval(F,G) took 8396ms
Computing product of all F(g_i) took 26ms
Step 2 took 23097ms
********** Factor found in step 2: 401939371823877029
Found prime factor of 18 digits: 401939371823877029
Composite cofactor 1814143027056134345479443487335682973151485157830506169862050558605128844610442976545162189648945414313826574375987454225067210635438628892259479367955414259967061772886130294998549653677167681461985230728625493597945779414214906279322492740188759141883557252733641372245710998742680723443995736690592944277452330169930141457865643882281977 has 340 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
3.7GHz Quad-Core Intel Xeon E5 w/ 32GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64799Jason Parker-BurlinghamJanuary 3, 2021 04:02:26 UTC 2021 年 1 月 3 日 (日) 13 時 2 分 26 秒 (日本時間)

34×10382-619

c350

name 名前Jason Parker-Burlingham
date 日付December 19, 2020 20:58:51 UTC 2020 年 12 月 20 日 (日) 5 時 58 分 51 秒 (日本時間)
composite number 合成数
42698271338397452168992454613478950369330848324739218181324398368443013645561063326423891275429865315079586173516778440503573403208612396098503955355018029227816335551360346698676968724901162852035292104307372761200066871915895873393784282804043618494039609119850398194845234878940778087488028680156217181193119684166941517950480228420769679005970573<350>
prime factors 素因数
1847136457238469566208899178834075557771595473<46>
23115926910041496250018652417973577299109399439532657798862020878311155165196129812381535127953228230313830170996945347688887770352931786627047567934638255505916595290326504640715142868079085170854095172561394670245691400793580519931827285687570928444771649811825534310409937205217277552882556532689128701<305>
factorization results 素因数分解の結果
Run 2660 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3528665744
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
138     788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 118143ms
Using 40 small primes for NTT
Estimated memory usage: 218.07MB
Initializing tables of differences for F took 173ms
Computing roots of F took 3385ms
Building F from its roots took 3183ms
Computing 1/F took 1674ms
Initializing table of differences for G took 145ms
Computing roots of G took 2961ms
Building G from its roots took 3922ms
Computing roots of G took 2975ms
Building G from its roots took 3927ms
Computing G * H took 788ms
Reducing  G * H mod F took 909ms
Computing roots of G took 2966ms
Building G from its roots took 3927ms
Computing G * H took 788ms
Reducing  G * H mod F took 923ms
Computing polyeval(F,G) took 6713ms
Computing product of all F(g_i) took 41ms
Step 2 took 39533ms
********** Factor found in step 2: 1847136457238469566208899178834075557771595473
Found prime factor of 46 digits: 1847136457238469566208899178834075557771595473
Prime cofactor 23115926910041496250018652417973577299109399439532657798862020878311155165196129812381535127953228230313830170996945347688887770352931786627047567934638255505916595290326504640715142868079085170854095172561394670245691400793580519931827285687570928444771649811825534310409937205217277552882556532689128701 has 305 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10383-619

c371

composite cofactor 合成数の残り
23232687365501347594433040277239890750354974123197071626695692419314396814861604622649970785017569516835726727415734410738296192306200877182560908304283282700155015627455459463872980460294715277712107973688931058825165540614794218651099784924321184183722334203447514136562074772175907501513236609988038870019464449670481611650758321157161280562377073538163849479189914251<371>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64092Jason Parker-BurlinghamJanuary 3, 2021 04:05:02 UTC 2021 年 1 月 3 日 (日) 13 時 5 分 2 秒 (日本時間)

34×10384-619

c306

composite cofactor 合成数の残り
146204804326590786737319698931355632732333356408202618673292429836958213513756965722951129718237027637728513211865884442582673983755603225045352151842915298264198236934023567062635025324117506064934125697570714962430456779055694044536267383323531283049822457861787396095734357251832025700894437201020600587<306>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamJanuary 3, 2021 04:14:22 UTC 2021 年 1 月 3 日 (日) 13 時 14 分 22 秒 (日本時間)

34×10385-619

c370

composite cofactor 合成数の残り
4346371938277643289803882357265429865621068479594379870015315476643232634996314143107314184311261981943776993084663431095132965678095878247675721779424724880585806457727792371220017273769046855112388156140475159696548550746912656973854522249757146617096781176032291291024774095564412838382018832999825641999581267235603815534231256297188548069075175942288483858403983337<370>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e63707 / 3872Jason Parker-BurlinghamJanuary 3, 2021 03:59:19 UTC 2021 年 1 月 3 日 (日) 12 時 59 分 19 秒 (日本時間)

34×10386-619

c329

composite cofactor 合成数の残り
62861973400805043121788560973932830218747392145793177920344625256510873214966414838019916084032533022432375456248749409358012175784552088798262236026301890663027746765135212711681567417426371528325738373681955509551018499824647426507718847070884323837443537345055990620462633749630831232660846961657282769737004544540047511991337<329>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e64326Jason Parker-BurlinghamJanuary 3, 2021 03:39:33 UTC 2021 年 1 月 3 日 (日) 12 時 39 分 33 秒 (日本時間)

34×10387-619

c332

name 名前Jason Parker-Burlingham
date 日付December 18, 2020 23:03:54 UTC 2020 年 12 月 19 日 (土) 8 時 3 分 54 秒 (日本時間)
composite number 合成数
16776840421424938038905905081098656400377269164331950205446873264979485998875380608142888176312142821782151698704339108320634012564578527377225290659997883964459716032681164877977631602940714741424645156302346187531018267075427134430704892193688313358367356128651798476270844449061432002916884454897681388013369944654217918557289957<332>
prime factors 素因数
100062008836962845316155730278427478096600331<45>
167664437446588453584467590958641551786858682418251524412948129169586035553092481472399930430310340033660123326150378926964425190387048198823071197389019971663688790413280060404441201428240355193084153272808921490482349338647801157587258008722692044603583306551186235986499501187335882447<288>
factorization results 素因数分解の結果
37771_387.11e6.out-Run 289 out of 5208:
37771_387.11e6.out-Using MODMULN [mulredc:1, sqrredc:2]
37771_387.11e6.out-Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3559753810
37771_387.11e6.out-dF=32768, k=3, d=324870, d2=11, i0=23
37771_387.11e6.out-Expected number of curves to find a factor of n digits (assuming one exists):
37771_387.11e6.out-35   40      45      50      55      60      65      70      75      80
37771_387.11e6.out-138  788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
37771_387.11e6.out-Step 1 took 111965ms
37771_387.11e6.out-Using 38 small primes for NTT
37771_387.11e6.out-Estimated memory usage: 207.52MB
37771_387.11e6.out-Initializing tables of differences for F took 165ms
37771_387.11e6.out-Computing roots of F took 3220ms
37771_387.11e6.out-Building F from its roots took 3037ms
37771_387.11e6.out-Computing 1/F took 1599ms
37771_387.11e6.out-Initializing table of differences for G took 136ms
37771_387.11e6.out-Computing roots of G took 2813ms
37771_387.11e6.out-Building G from its roots took 3708ms
37771_387.11e6.out-Computing roots of G took 2821ms
37771_387.11e6.out-Building G from its roots took 3712ms
37771_387.11e6.out-Computing G * H took 769ms
37771_387.11e6.out-Reducing  G * H mod F took 874ms
37771_387.11e6.out-Computing roots of G took 2810ms
37771_387.11e6.out-Building G from its roots took 3709ms
37771_387.11e6.out-Computing G * H took 757ms
37771_387.11e6.out-Reducing  G * H mod F took 877ms
37771_387.11e6.out-Computing polyeval(F,G) took 6341ms
37771_387.11e6.out-Computing product of all F(g_i) took 38ms
37771_387.11e6.out-Step 2 took 37490ms
37771_387.11e6.out:********** Factor found in step 2: 100062008836962845316155730278427478096600331
37771_387.11e6.out-Found prime factor of 45 digits: 100062008836962845316155730278427478096600331
37771_387.11e6.out-Prime cofactor 167664437446588453584467590958641551786858682418251524412948129169586035553092481472399930430310340033660123326150378926964425190387048198823071197389019971663688790413280060404441201428240355193084153272808921490482349338647801157587258008722692044603583306551186235986499501187335882447 has 288 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10388-619

c383

composite cofactor 合成数の残り
11889701200268833138079960828330304431952564848091407463312316188279293417438282047282054520784369183335240930981788229944163515283878680706165722781755057677814765239423437615454681232389910021888590212600796253289382003755257214976673280487807863267876681557818025815129064280165841748706479191256929204207961085147850357759360630618561355246891918454694136212683254828084187617107<383>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e63658 / 3872Jason Parker-BurlinghamJanuary 3, 2021 03:54:39 UTC 2021 年 1 月 3 日 (日) 12 時 54 分 39 秒 (日本時間)

34×10389-619

c320

name 名前Jason Parker-Burlingham
date 日付December 18, 2020 23:04:02 UTC 2020 年 12 月 19 日 (土) 8 時 4 分 2 秒 (日本時間)
composite number 合成数
13783282325859401420992703230581501819648241904799632264415664849008583401588583516362382439425956879572639115657042604505924159033653883873618368719183492213967809976630312400888360983326589388525373203312209636399057462122575918513958378838042174876255373912427531192736186848850993357562744032466685538448773750527641<320>
prime factors 素因数
201177058588743267524416208722926576111001<42>
composite cofactor 合成数の残り
68513191427238791967990286260339184258203482434949984543963218591580368652787627434148052954500652093524135095674917505921669952779203031686753780494129377726657710056563178564313273196737564319395691278193598341272909271967077782901258419884793879282459505904085774523727376641<278>
factorization results 素因数分解の結果
37771_389.11e6.out-Run 459 out of 5208:
37771_389.11e6.out-Using MODMULN [mulredc:1, sqrredc:1]
37771_389.11e6.out-Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3541258596
37771_389.11e6.out-dF=32768, k=3, d=324870, d2=11, i0=23
37771_389.11e6.out-Expected number of curves to find a factor of n digits (assuming one exists):
37771_389.11e6.out-35   40      45      50      55      60      65      70      75      80
37771_389.11e6.out-138  788     5208    39497   336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
37771_389.11e6.out-Step 1 took 99369ms
37771_389.11e6.out-Using 37 small primes for NTT
37771_389.11e6.out-Estimated memory usage: 198.72MB
37771_389.11e6.out-Initializing tables of differences for F took 151ms
37771_389.11e6.out-Computing roots of F took 2927ms
37771_389.11e6.out-Building F from its roots took 2744ms
37771_389.11e6.out-Computing 1/F took 1440ms
37771_389.11e6.out-Initializing table of differences for G took 119ms
37771_389.11e6.out-Computing roots of G took 2427ms
37771_389.11e6.out-Building G from its roots took 3311ms
37771_389.11e6.out-Computing roots of G took 2451ms
37771_389.11e6.out-Building G from its roots took 3322ms
37771_389.11e6.out-Computing G * H took 678ms
37771_389.11e6.out-Reducing  G * H mod F took 778ms
37771_389.11e6.out-Computing roots of G took 2453ms
37771_389.11e6.out-Building G from its roots took 3328ms
37771_389.11e6.out-Computing G * H took 675ms
37771_389.11e6.out-Reducing  G * H mod F took 783ms
37771_389.11e6.out-Computing polyeval(F,G) took 5696ms
37771_389.11e6.out-Computing product of all F(g_i) took 33ms
37771_389.11e6.out-Step 2 took 33430ms
37771_389.11e6.out:********** Factor found in step 2: 201177058588743267524416208722926576111001
37771_389.11e6.out-Found prime factor of 42 digits: 201177058588743267524416208722926576111001
37771_389.11e6.out-Composite cofactor 68513191427238791967990286260339184258203482434949984543963218591580368652787627434148052954500652093524135095674917505921669952779203031686753780494129377726657710056563178564313273196737564319395691278193598341272909271967077782901258419884793879282459505904085774523727376641 has 278 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65189Jason Parker-BurlinghamJanuary 3, 2021 04:21:39 UTC 2021 年 1 月 3 日 (日) 13 時 21 分 39 秒 (日本時間)

34×10390-619

c347

composite cofactor 合成数の残り
43032769070945534982460002304293679235343118328238001594401346514561453110769686071657216129867375688178364304891782501371888709462812380008275594447902987111675850554311747939536125215152557410309600391164441953167379597807354341227024977804556837321469328196149159332758706288694441421132330830696873048346596712343085426733115810360155850444313<347>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:15:48 UTC 2020 年 10 月 4 日 (日) 0 時 15 分 48 秒 (日本時間)
5043e61002 / 6280Jason Parker-BurlinghamJanuary 3, 2021 03:40:36 UTC 2021 年 1 月 3 日 (日) 12 時 40 分 36 秒 (日本時間)

34×10391-619

c313

composite cofactor 合成数の残り
2412727140728306142065360666034295716590360883352213658574579246387747410281510009007791684076803412186482127023676243340950866970915748434884139374202146512238029776936889889406826502799247949627934508461088600767065403215914567133354366335911385959674018768004487063980119269104849227709066194286036429184504449<313>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62767 / 3872Jason Parker-BurlinghamJanuary 3, 2021 04:01:23 UTC 2021 年 1 月 3 日 (日) 13 時 1 分 23 秒 (日本時間)

34×10392-619

c348

composite cofactor 合成数の残り
306185575082055326816349222453077300934028324281296059629319596802485755731608098981875312751464627938599127398105114426757259037940406547838692810287802916706608934476087763650872969078369261332284300238593411470930333910247619395694548260707153211837478839214313966304857626768486550677106717863284504317774446772587767625818423062114862592937713<348>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61866 / 3872Jason Parker-BurlinghamJanuary 3, 2021 03:38:00 UTC 2021 年 1 月 3 日 (日) 12 時 38 分 0 秒 (日本時間)

34×10393-619

c389

composite cofactor 合成数の残り
16183147536520366253187247108571308897732503042669724329601213926455210045355650845736050007829787558110588966615594556941118569638225736821087212409999090887888389591189894481118312611764862674093779436074425343570602074965099138437783651308383679581294375737463653364595366574470323201255050688949908874600121563996494920633560706556221444479190614155208760223346475001082842960164230389<389>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61093 / 3872Jason Parker-BurlinghamJanuary 3, 2021 04:26:20 UTC 2021 年 1 月 3 日 (日) 13 時 26 分 20 秒 (日本時間)

34×10394-619

c306

composite cofactor 合成数の残り
392070963223850005104021907427999697813949705686358576561892682706465894021619073033640490876325756185909677229028031320534762180175334030458247887564918741932686352405362497287175147731954586936984833585018407945344505039440680021746537220427551507789055285956610631333285063617563497132199950959691538301<306>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62180 / 3872Jason Parker-BurlinghamJanuary 3, 2021 04:12:49 UTC 2021 年 1 月 3 日 (日) 13 時 12 分 49 秒 (日本時間)

34×10395-619

c364

composite cofactor 合成数の残り
1499042117674060255966492692392938225603167337945506451665034642099380030355539044515011322973301259606927005868485905868236221485185233560026904569908460608441182016780149025466155305715966068403789720930589011663734694118401394391656609165416174269544866083573330276932185345284161440332440457265651730822450590757787036471395189021070083635026720015846885546333<364>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61369 / 3872Jason Parker-BurlinghamJanuary 3, 2021 03:36:26 UTC 2021 年 1 月 3 日 (日) 12 時 36 分 26 秒 (日本時間)

34×10396-619

c385

composite cofactor 合成数の残り
1577047127689586334842284879961459390911013854454639103870108619443487448244268760488276375199736522137878239105029946649311595946657473009365852656707618451279413657809852306848498067985741064033474904667119857989111052682915911898716254806953564066822913049938816520621695376971614274737395070126282229420437110395978915710828698500120532019496252768822849395354517797902888046056879<385>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:16:06 UTC 2020 年 10 月 4 日 (日) 0 時 16 分 6 秒 (日本時間)
5043e6316 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:07:07 UTC 2021 年 1 月 3 日 (日) 13 時 7 分 7 秒 (日本時間)

34×10399-619

c366

composite cofactor 合成数の残り
288178474665508381466489213557527923814353951306471667187502960240226382693253366366699985511312223249971397769731426384016774936611324978823663345207997275209022006879947221649244536081140211724157969891206047443062824434100174011783572713137887499832469483409540571443500239390250303199088297292895444088193419566912747660699941861718931576518609971932492279936807<366>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61034 / 3872Jason Parker-BurlinghamJanuary 3, 2021 04:08:09 UTC 2021 年 1 月 3 日 (日) 13 時 8 分 9 秒 (日本時間)

34×10400-619

c373

name 名前Jason Parker-Burlingham
date 日付August 12, 2019 13:25:25 UTC 2019 年 8 月 12 日 (月) 22 時 25 分 25 秒 (日本時間)
composite number 合成数
1962032237720557495399048964837946091754340976408952946220176921756716326394903902952137558053560925717576566035886359133414868873609987141829749263036192006470148043282534008700173208871164384485133353362211876427373186341416615231512316451184182641874657919325538633116522657366564422370891628059978646509831938158068961897101675196631431915769279124118446117127652268131<373>
prime factors 素因数
845696429885308444224710133146960704649<39>
composite cofactor 合成数の残り
2320019534653402930005879023327275319314268058726860010944008527580335010020769707441561075211709084254901536073653013825046275390549240975751573712742067441262608560260508400726062996441166660304429349445747269050954024884057836766222709937676731619961373158998483856417084795117271968057077433928438716180315509173700104987149550219<334>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-assert] [ECM]
Tuned for x86_64/corei7/params.h
Running on chi.localdomain.localdomain
Input number is 1962032237720557495399048964837946091754340976408952946220176921756716326394903902952137558053560925717576566035886359133414868873609987141829749263036192006470148043282534008700173208871164384485133353362211876427373186341416615231512316451184182641874657919325538633116522657366564422370891628059978646509831938158068961897101675196631431915769279124118446117127652268131 (373 digits)
Using MODMULN [mulredc:1, sqrredc:1]
Computing batch product (of 31778422 bits) of primes up to B1=22025673 took 1451ms
Using B1=22025673, B2=96186870796, polynomial Dickson(12), sigma=1:2436739481
dF=65536, k=2, d=690690, d2=17, i0=15
Expected number of curves to find a factor of n digits:
35  40  45  50  55  60  65  70  75  80
88  450 2633  17503 130020  1073513 9620090 9.3e+07 1e+09 1.1e+10
Step 1 took 319061ms
Using 43 small primes for NTT
Estimated memory usage: 538.44MB
Initializing tables of differences for F took 292ms
Computing roots of F took 11062ms
Building F from its roots took 14020ms
Computing 1/F took 15015ms
Initializing table of differences for G took 380ms
Computing roots of G took 8747ms
Building G from its roots took 14190ms
Computing roots of G took 8811ms
Building G from its roots took 14270ms
Computing G * H took 7585ms
Reducing  G * H mod F took 7827ms
Computing polyeval(F,G) took 48699ms
Computing product of all F(g_i) took 115ms
Step 2 took 151743ms
********** Factor found in step 2: 845696429885308444224710133146960704649
Found prime factor of 39 digits: 845696429885308444224710133146960704649
Composite cofactor 2320019534653402930005879023327275319314268058726860010944008527580335010020769707441561075211709084254901536073653013825046275390549240975751573712742067441262608560260508400726062996441166660304429349445747269050954024884057836766222709937676731619961373158998483856417084795117271968057077433928438716180315509173700104987149550219 has 334 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc, --enable-assert] [ECM]
execution environment 実行環境
3.7 GHz Quad-Core Intel Xeon E5 w/ 32GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:16:18 UTC 2020 年 10 月 4 日 (日) 0 時 16 分 18 秒 (日本時間)
5043e6281 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:25:17 UTC 2021 年 1 月 3 日 (日) 13 時 25 分 17 秒 (日本時間)

34×10401-619

c335

composite cofactor 合成数の残り
19522243541573586748741557339500692489203461526716132403507255376302168362683858220166208358078023923755876860760520484400263530159553282194019168831075444740652204462438605042476952295335734780154997603594994261599173496240411069867467768529840848209966158807472623114419317318893397294492930257083270933714591203927657827370938153499<335>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:16:28 UTC 2020 年 10 月 4 日 (日) 0 時 16 分 28 秒 (日本時間)
5043e6286 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:00:52 UTC 2021 年 1 月 3 日 (日) 13 時 0 分 52 秒 (日本時間)

34×10402-619

c395

composite cofactor 合成数の残り
14347039385398421096247244950158509656791140774408347306009934415847246166956238237228995866718804314159300484168820787071246814000962970751717462247788156919776118551956234876224033963823979855062064366153249718205474220986660254012669749797325809671612602994542163838683966939460556188662975469656969786733061355410577794228261925774259152865412922864232697426932626664675955875898107628416671<395>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e6416 / 3872Jason Parker-BurlinghamJanuary 3, 2021 04:20:06 UTC 2021 年 1 月 3 日 (日) 13 時 20 分 6 秒 (日本時間)

34×10403-619

c366

composite cofactor 合成数の残り
115436442637722611513376527795326662187004706842747214118803377353249041670960411418713784544849126503618276801769768184602657935634290999855518495548374212095551693912367831697774594171394527102594525005939936334992580334235220403854827448909618048512078786638069779697636192119005908310330741139343043784056645445932827848466874094928562510166762862806689670643449<366>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:16:38 UTC 2020 年 10 月 4 日 (日) 0 時 16 分 38 秒 (日本時間)
5043e699 / 6280Jason Parker-BurlinghamJanuary 3, 2021 04:23:13 UTC 2021 年 1 月 3 日 (日) 13 時 23 分 13 秒 (日本時間)

34×10404-619

c294

composite cofactor 合成数の残り
259030631873074182928841262715849849096906248494414351325918211666546642786776739884861443236288835386275520262108313877023648333604036958768623889847665557910853371662269451917663065981844508834213507488143700011253496715445302249549866757485346657116008767802388840675853337966928626630561641<294>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10405-619

c330

composite cofactor 合成数の残り
165054639952520515652267927402858669036764836487873794387511269076000327674222273326806834695811587243657955593223311377496064098759084722727953659640099064055314507018568190304128343341769170461602920893709549855959967661699431009303340093669882744517644649730836187215718712941608431516568988461322024795483403435400579761460993<330>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10407-619

c381

composite cofactor 合成数の残り
383913554419613322719528943802714221032186971111043808435852382049843717141631209902523546720565937979360320849914110555386865601342112944354708292069375943094880412039650479224727572637547320223461849428515079267123305507955533803561834686881278385099912024481822509015319102314766968816170495185742320226762800961101528086170396702184505290099598991184100200987345955081676645283<381>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:16:48 UTC 2020 年 10 月 4 日 (日) 0 時 16 分 48 秒 (日本時間)

34×10408-619

c404

composite cofactor 合成数の残り
62176431109428690034032452439601997692157174702970387560324853565361144485224868377981497025589258838653989989594591381980904520775157224078371562694872821767602787698575976855737878796191144978978880129326976707611675270787501074372155199686923382178406125475695415951180529267726226201513813225658384400299178356750074520281403212327026083012850405335469276613798413038031859934787896077581556276070669<404>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:17:03 UTC 2020 年 10 月 4 日 (日) 0 時 17 分 3 秒 (日本時間)

34×10409-619

c367

name 名前Jason Parker-Burlingham
date 日付September 12, 2020 15:17:48 UTC 2020 年 9 月 13 日 (日) 0 時 17 分 48 秒 (日本時間)
composite number 合成数
5737172526181148053588249404908121492195674376159163376315244797256912689346588766214793518323212283051948447658567373821696320905578680188776247753147549239373685014971533253457817398336343286415533377834846341081938045283283081879322804588625671858318970023272781360210201209663879798726870958449570981475045017163003351069526785506375927102917906806887813904295559<367>
prime factors 素因数
18258810545899352536010488419386681647257577<44>
composite cofactor 合成数の残り
314213924930045817688974956651621612046372765138729350583067929325792381769017303761956347895842697170390754539469061096613468764743563501670425627081844734672069348529922442046928010322128712733341212245178351622352594807262895610926991092321818489280046956439290247615133269490610965440977394547030256187910613593563542767<324>
factorization results 素因数分解の結果
Run 1911 out of 5208:
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1479061252
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
138 788 5208  39497 336066  3167410 3.2e+07 3.7e+08 4.5e+09 5.6e+10
Step 1 took 140491ms
Using 42 small primes for NTT
Estimated memory usage: 228.62MB
Initializing tables of differences for F took 213ms
Computing roots of F took 4117ms
Building F from its roots took 3872ms
Computing 1/F took 2024ms
Initializing table of differences for G took 178ms
Computing roots of G took 3630ms
Building G from its roots took 4726ms
Computing roots of G took 3573ms
Building G from its roots took 4737ms
Computing G * H took 939ms
Reducing  G * H mod F took 1107ms
Computing roots of G took 3580ms
Building G from its roots took 4792ms
Computing G * H took 964ms
Reducing  G * H mod F took 1102ms
Computing polyeval(F,G) took 8140ms
Computing product of all F(g_i) took 45ms
Step 2 took 47878ms
********** Factor found in step 2: 18258810545899352536010488419386681647257577
Found prime factor of 44 digits: 18258810545899352536010488419386681647257577
Composite cofactor 314213924930045817688974956651621612046372765138729350583067929325792381769017303761956347895842697170390754539469061096613468764743563501670425627081844734672069348529922442046928010322128712733341212245178351622352594807262895610926991092321818489280046956439290247615133269490610965440977394547030256187910613593563542767 has 324 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:18:51 UTC 2020 年 10 月 4 日 (日) 0 時 18 分 51 秒 (日本時間)

34×10410-619

c331

composite cofactor 合成数の残り
4808644273510062998496776083803098926030295079725012852045725290344534397453604736823188213327424074487998568481657620763430182580063784065004711314501125048665325935798137294606579230455126009743922370253368771980201178149580466577324607398893493467688114908434093920381714290314143595101674747101524312833435428284836859306084167<331>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10411-619

c412

composite cofactor 合成数の残り
1259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<412>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10413-619

c378

composite cofactor 合成数の残り
106111423973331952916074606442008290760434983566130799282854177156156217903118018668515469945993255478337750035422317827259178253494782779727750321833583166797166097201310141811048665587456118772211594338828455043687324709850469122575202085946030374278792640443176723373633210489165631885511722699155339516444565849864158339066120278836695878050377872062383947424134119432337573<378>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10414-619

c370

composite cofactor 合成数の残り
4240530420209105231085185895318287468780928255517996909292734100237820540510986855872217309816411528287059701525539688335042344937889694717116675460220342069512601883892183777262557286409738056851070119843697811737074470620112558497649636290964059305383936711077577064771061295682751552320827701168189605066255264639448507012495514435579281821059821753374668772922641239<370>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10415-619

c354

composite cofactor 合成数の残り
730238217535116969832193697410345479959624871029462390369027909819133257709432015664637035202090554115026724472626440767233585801534513928394061639449934418932770875058074913985809464826650457678637993646722000647654315655180015596927173345106150060919508707704893025772565924253202213791664680042222577847032614063649579203355016506623105365899559040219<354>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:19:08 UTC 2020 年 10 月 4 日 (日) 0 時 19 分 8 秒 (日本時間)

34×10416-619

c387

composite cofactor 合成数の残り
139315851596583374569575009195964258919306407877806303880086360448072870119629166077879973331960525206464680675364241496862055597943467419172006456987473949698299785183127864409974863807155864083896037905003748699767400976851757418682990893099676107023115278229191144162400020456898506770981431160024435398826789331440286804669859445721662425427822317541156143049236536176524828918137797<387>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10417-619

c403

composite cofactor 合成数の残り
1415285697673328218961922082140581649336070135979558062355696888732651685926028779367378303940392075885716077551376365778803950461695328209126508000296778287238101164564065877166050408828689753176144166201311704469631450052301767581964614346926788802072601069020728440623469456085021584004692813544112535175962028885988785256235516825209252509335840710233956014273589671247117522975942392445788171126177<403>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10418-619

c385

composite cofactor 合成数の残り
2545764434253003955714697917826199114417502528025879251115724144059512927676060617739474791315313149297767421260168940484190332412372688989063126934585973590019395112196564893789841646871838073650968058492950712579281414558891684458095112997548285871470355212710664006410417527602841847676011258985713584164661415439278379076345651646935827995088732391256901556604524918876065059054013<385>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10419-619

c416

composite cofactor 合成数の残り
14646523389205512262155537462791368889922761128126925048570456239203573751706966144991965951140921094009141153715262969711851191322365671995416499739378039692078384746938230441506524164609691690682657223966881625936408241684867125878252928227727591896164764772526568362647919116728483610971107578714293714487565532422664202604496482680486092264481750001076950249206287666334965989911130065435497141774038606512533547<416>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10421-619

c387

composite cofactor 合成数の残り
510807121816727601003518252562002517137657431881608521597680433033918221512209222130834556050890036051647482462189875031974836675001869438064902244323679826796170802219546866713906609062455109265089547831828813573821841663201064214873919505821743045371296634045464684703546433820605575320850637366850109404976896501867561880687424300727385647004674261276763972228984807559662317452449203<387>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10422-619

c391

name 名前Jason Parker-Burlingham
date 日付September 22, 2020 20:36:46 UTC 2020 年 9 月 23 日 (水) 5 時 36 分 46 秒 (日本時間)
composite number 合成数
6609637498711648927476199265713331171496684498544057024799080182010534416492961911559558499048576236341165713609292333753054082890454673087260818019723456167469530179697604524349536366149406504315074765015545782229284480286707625295768294532730739626924362658162012829070367863233305263276017393235739794706443172330523701531216659636394139273992694896587333261342840100076164927748668921721<391>
prime factors 素因数
92131045343720481532955174798973604075313082967<47>
composite cofactor 合成数の残り
71741696558988975325628352127345672461255411595573206517699774449828880949371626562170042879605086497442680396845371439620709442361012703537633695230468124060031328784090714937072935834594687718760402254374783056433374000206328906724664211584215483570157814457403234798119790814845714506581257623306770264473071592529827122168452845935150924463<344>
factorization results 素因数分解の結果
Run 4607 out of 5208:
Using mpz_mod
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:13817482778116765726
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
122 686 4482  33676 284176  2657998 2.7e+07 3e+08 3.7e+09 4.4e+10
Step 1 took 210843ms
********** Factor found in step 1: 92131045343720481532955174798973604075313082967
Found prime factor of 47 digits: 92131045343720481532955174798973604075313082967
Composite cofactor 71741696558988975325628352127345672461255411595573206517699774449828880949371626562170042879605086497442680396845371439620709442361012703537633695230468124060031328784090714937072935834594687718760402254374783056433374000206328906724664211584215483570157814457403234798119790814845714506581257623306770264473071592529827122168452845935150924463 has 344 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:19:24 UTC 2020 年 10 月 4 日 (日) 0 時 19 分 24 秒 (日本時間)

34×10423-619

c407

composite cofactor 合成数の残り
11075840163641015344851476911725623184967649193129053649399319608483594863529321383194524740806956874567307347873802547587690106311313057035617153906461479746171918926593306527857523744754857298572495834933611848340796090193942854172393364258922700684158308191943341041010475503152411241630576574817588629027933267523891450724409078278576291747388532242352875445259749704207976345359009228560828282644790467<407>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10424-619

c425

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<425>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJuly 13, 2020 21:03:48 UTC 2020 年 7 月 14 日 (火) 6 時 3 分 48 秒 (日本時間)
5043e6540 / 7001Dmitry DomanovSeptember 15, 2020 21:06:25 UTC 2020 年 9 月 16 日 (水) 6 時 6 分 25 秒 (日本時間)

34×10425-619

c393

composite cofactor 合成数の残り
127404161709925996722200413140266147637540340201317387850520396000593733195381509967486830816493182401113010439019688430681521892638406832178284464617424913628258465020965085722966916176562500625977725490987817915041229314161025278811276988109192838758334109257558976772290199666135337409315810287858529327643275074102419997389083337288221714096731921932690302565467232897743835271162322035457<393>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10426-619

c395

composite cofactor 合成数の残り
41125430711455822958545232925090054443133223599321721874261536127438338869141203671004839643743801825943808914486686380225807972035641275014141437088980976670236265960870970497203374223221027648797182122270417442344726006735407338585523459008420892251532968090009499215520886256690341816581669994856247893771076466951534261997530882816503236436096452373484111049739447478323530751199061126185969<395>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10427-619

c381

composite cofactor 合成数の残り
199796720489456200383315702326386492157796757771857294531571751938829756437161633244776429879717157629255365468384427286505699366800334536911327008975144295255201029354425821035410667996582310299787271569301563835704556004293494894904702790134006706123245000657996980307459668095803342995493100192771306140799019556117812897053197056479402469999199594125967803349147428767471360371<381>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:19:43 UTC 2020 年 10 月 4 日 (日) 0 時 19 分 43 秒 (日本時間)

34×10429-619

c421

composite cofactor 合成数の残り
5797262785171194957819643696515565041268815164071593338369357542183698681241679616059439529033140378210685750441410536652890540741167999008007857809132048481173937884282252418332817169778562391599679333548252528444321434030483186614868280548272697292058773593364822267630919861273772713803259962812342743971869366153420789001637107623246952087087230428787351594256533017148438531165472354571728141865139534516617789748041<421>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10430-619

c431

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<431>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovJuly 13, 2020 21:03:24 UTC 2020 年 7 月 14 日 (火) 6 時 3 分 24 秒 (日本時間)
5043e6540 / 7001Dmitry DomanovSeptember 14, 2020 21:58:27 UTC 2020 年 9 月 15 日 (火) 6 時 58 分 27 秒 (日本時間)

34×10431-619

c392

composite cofactor 合成数の残り
81811819825274884488848892501649553294447906653869285634551581451893914588052443298880106053171077969292344411790435137272068814417806900765106855545576249465090400710119518198517442182105084975510700294689359577550091655615024779340792942576565092582718268772947169960451338473818977398153324185148511401422054384124321975040129407727494829242662087193574221826415862512755616215627687523529<392>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10432-619

c392

composite cofactor 合成数の残り
16685696332905401357801514553726217633105492686847941673433287204081591097653983646305117042936180670370088981227482953289552270193813774132119643624663592804235466840722499101409238633369424921088015276301753339932484137697314168441201310388616618039078316124387176341321686041066756424482082820772657007592312341444027554868870633466700442099545786559111681872454190311454558770009540607499<392>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10433-619

c416

composite cofactor 合成数の残り
28438804181119239287601473872340567965415184960800728180966312476259428513283936222334692515894602776457881147888312877822207735792661530877413768774430122287756629001696475144456984978984113186148733746339947273748919215292324877334106427688338376722929310534048747796831256077615884515260879190303033437895446550479413459613051293380041949319356085218361723012425604643264228203894632032285376539645002364677453501<416>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10435-619

c305

composite cofactor 合成数の残り
13348084914547705710396657552306442664142113045758050667264776109127605392964567202172076491355571565826125767346628926849268138598231545760866583392861111319791024571950868429941171831863863428041593693054358690307481113013080950440249452348435042712218368540961761282407740801782536885677374364348980389<305>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:19:59 UTC 2020 年 10 月 4 日 (日) 0 時 19 分 59 秒 (日本時間)

34×10436-619

c428

composite cofactor 合成数の残り
40859692266018453702928881759848414060433629033880735089134662173134507970098002802313202785287401650073269834513776993344753014040346739929661989011721452007228699187074322081069567128359401442652166610773792299238861674657390582037083240736407710580755886730043133076271717870268236261797314845883903906806890847745078271996413914978412291736524647775280963360722533244457205455111610156009975878003573761017346884168101130587<428>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10437-619

c354

composite cofactor 合成数の残り
703979251285131793570827640859823895245346178498175865935669216765908362173269994423269150398762065731127009986277526034607715675310568205318466366181979440122015367468167278924789503990339395772243728692134777523009469256651942639236066256783346844289050875551621342715054680786238245276458787984080991245030646510613571052302726424966118204264100639719<354>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10439-619

c397

composite cofactor 合成数の残り
1318330698998394023957487050967381288972756494539253050046096119937757836164267146894182993160230846672421260628390502402706201341943245998852320701995842368713288455585218595256486853394331904085979787000579430905154673754251777118269485229022839592378527977791292844760586301563204908774275816979291853965735781575360671611128240473092091471232836202708144122206348172075964833350090106694309537<397>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10440-619

c407

composite cofactor 合成数の残り
21614499792417053399303257032319624457607881706582382223627526126928377824790370456249518998140690495644953183195356055015457188854765633876132212891806179903183542501118418343777930325234551589347448901083458454068883989610001294283685897317702908103106685914125666567256781254716507627858026882806286733413820464032518261034723812151982966968382645260759047300845059272343146506252601205969554700600654243<407>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10441-619

c404

name 名前Jason Parker-Burlingham
date 日付September 21, 2020 23:41:56 UTC 2020 年 9 月 22 日 (火) 8 時 41 分 56 秒 (日本時間)
composite number 合成数
32100023569568795292015399426223862617779591901319748655506669465007441708140489405627032226882151332965455545466313645937345517414502534487105047152921172332387867730595785753103630019163624569193526120624669195681345096814325035516204898540907156688711155569867439917212785676708482175068639396664684691752372534939233020871563234323876746756303501663237568949377212375546808496585143127612173195825721<404>
prime factors 素因数
3984425656690526264555920131958246322963663854051<49>
8056374076315720168435727428775009133667671684160471148351487613145343324941798464977123048242282254276595224930118543777122314404704953542164107256111278668420379553414505142956957166704390442326078246005549937566086525481586426709379907938023897949806884951923618579815555445225425498263179971253202145163719028076644259949791259244317493125657688133171<355>
factorization results 素因数分解の結果
Run 2161 out of 5208:
Using mpz_mod
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:6156091810210366023
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
122 686 4482  33676 284176  2657998 2.7e+07 3e+08 3.7e+09 4.4e+10
Step 1 took 218981ms
Using 46 small primes for NTT
Estimated memory usage: 242.67MB
Initializing tables of differences for F took 245ms
Computing roots of F took 5561ms
Building F from its roots took 3803ms
Computing 1/F took 2048ms
Initializing table of differences for G took 201ms
Computing roots of G took 5206ms
Building G from its roots took 4844ms
Computing roots of G took 5625ms
Building G from its roots took 4942ms
Computing G * H took 977ms
Reducing  G * H mod F took 1146ms
Computing roots of G took 5634ms
Building G from its roots took 4932ms
Computing G * H took 970ms
Reducing  G * H mod F took 1147ms
Computing polyeval(F,G) took 8365ms
Computing product of all F(g_i) took 48ms
Step 2 took 55825ms
********** Factor found in step 2: 3984425656690526264555920131958246322963663854051
Found prime factor of 49 digits: 3984425656690526264555920131958246322963663854051
Prime cofactor 8056374076315720168435727428775009133667671684160471148351487613145343324941798464977123048242282254276595224930118543777122314404704953542164107256111278668420379553414505142956957166704390442326078246005549937566086525481586426709379907938023897949806884951923618579815555445225425498263179971253202145163719028076644259949791259244317493125657688133171 has 355 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10443-619

c350

composite cofactor 合成数の残り
89940874857354462208233448137711822074880274445027097476972529580825073992142354952525871005663069339513011339466317366458237921191843379764696240774273793010290928608720662826144772714819501997819774166711971912551737483165277970778169418302210243209347033443169063491038133208825998062067067978342359904986627980246037366253838898989408677376715849<350>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10445-619

c386

composite cofactor 合成数の残り
13734295455066447217090807325394575951295257421203943145078650257556295303958037718533167206015393902437664748519164026618456364152465382968761370901062711520935675168503612678587814977285195622102733568806308888429946452596416127249380977913593603319343719192166777907219960633188814626854335126580843770541095756520675243662007414416219992697824596153014991215384762196447753696504473<386>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10447-619

c448

composite cofactor 合成数の残り
1259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259257<448>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10448-619

c375

composite cofactor 合成数の残り
526142444347115342100556732368876351557752120086417681830644923915911073628496850861894343959022832805665303596558199097041969204309582150345391786215170790735202897222523189128817282964487715043092192409154945251262887281301813402411737622357102260955309477063303104062436798987313915926908514959889275978895442998587340088788282955451299286861138343197964584729309290779483<375>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:20:14 UTC 2020 年 10 月 4 日 (日) 0 時 20 分 14 秒 (日本時間)

34×10449-619

c414

composite cofactor 合成数の残り
170346038158682061130600880636416132155229495429610403839909865477766033659970285618721093810027328525326998900951243483105822610828843890996081201277203686527283867323055816381773646790207723301755335029884797379005922303029060472468193497095538064850024060692178231062590126740877381490983118505637973843475008620307725390731737647860712682926400997488254919680755688717257351080174364657338113921728506738678377<414>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10450-619

c433

composite cofactor 合成数の残り
3729086207189747409394509280408560120717705772370101039743237668972522114722530732640246188779160808412797452799811612868263204246578069569262300592082232568556085985893177478189706415389209037527470549296140421106970922206652838841244971614981528738151945093567714835105467327479985814570982435063248788382345957159492140283990718428653736992476171535350392159172443628651459228481641876273227206571474953742859926866370604487805611<433>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10451-619

c412

composite cofactor 合成数の残り
2207468644582285183460805995597252110772924807430282580118388351753102456351926101328359400241034579920762600432434621422411343846451626883926289913538061519242776797214602003575882840618679403617540125995385241106206550160210489445323598704878674710748463463775368981639105503976039751981146561922294991057218618862920530212169135420760510860390420526681870798444315820883616950669311422961299876270622935919417<412>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10452-619

c443

composite cofactor 合成数の残り
19795493105517807794954029223264341558452074876664436819706188444532615806462700912962638297177576096306718940532388034022868386357675862459508632451118440612163402550694859364420749111807319290652227249818856026121391046425489377860115661825926207331863342803423467690215255784999129169388817482821957921162455405919274195503726838540072912139719224490079015544084446093490763876195913182186006557156634897467183768023904670954846252176411101<443>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10453-619

c420

name 名前Jason Parker-Burlingham
date 日付September 11, 2020 13:46:19 UTC 2020 年 9 月 11 日 (金) 22 時 46 分 19 秒 (日本時間)
composite number 合成数
618289594406575215710167708327946893633847999322124379468161555147731394678162266740850488352570803758551937112494471935273080145984743921986665095768459875959554951654819291020686856042681800350146095897473938140808796932526960166783999935551897097300853904844041378814372101947479105841375095477740069767497293724412982468661890633162293214927441645926029704258313681723734468396883534702735809092352315571946367375253<420>
prime factors 素因数
60342193068672209207576009306168435132470207<44>
composite cofactor 合成数の残り
10246389184147368227637261608249530829438797391248503757671703317728974676621599245460488554442367556937614762802693717747116602562469392955619506691864955868116046257194492165916493476691993317857421161510726331004852941274695075687626829810339176761169751045601872919006815158462608521191171195922615595339124473752666051987626643933540506761534392268136484171664646195812779<377>
factorization results 素因数分解の結果
Run 829 out of 5208:
Using mpz_mod
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:4996450088716079436
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
122 686 4482  33676 284176  2657998 2.7e+07 3e+08 3.7e+09 4.4e+10
Step 1 took 248173ms
Using 48 small primes for NTT
Estimated memory usage: 253.23MB
Initializing tables of differences for F took 295ms
Computing roots of F took 6629ms
Building F from its roots took 4492ms
Computing 1/F took 2439ms
Initializing table of differences for G took 249ms
Computing roots of G took 6296ms
Building G from its roots took 5745ms
Computing roots of G took 6347ms
Building G from its roots took 5762ms
Computing G * H took 1121ms
Reducing  G * H mod F took 1321ms
Computing roots of G took 6357ms
Building G from its roots took 5758ms
Computing G * H took 1131ms
Reducing  G * H mod F took 1334ms
Computing polyeval(F,G) took 9733ms
Computing product of all F(g_i) took 56ms
Step 2 took 65192ms
********** Factor found in step 2: 60342193068672209207576009306168435132470207
Found prime factor of 44 digits: 60342193068672209207576009306168435132470207
Composite cofactor 10246389184147368227637261608249530829438797391248503757671703317728974676621599245460488554442367556937614762802693717747116602562469392955619506691864955868116046257194492165916493476691993317857421161510726331004852941274695075687626829810339176761169751045601872919006815158462608521191171195922615595339124473752666051987626643933540506761534392268136484171664646195812779 has 377 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e65208Jason Parker-BurlinghamOctober 3, 2020 15:20:27 UTC 2020 年 10 月 4 日 (日) 0 時 20 分 27 秒 (日本時間)

34×10454-619

c455

name 名前Dmitry Domanov
date 日付September 14, 2020 21:58:10 UTC 2020 年 9 月 15 日 (火) 6 時 58 分 10 秒 (日本時間)
composite number 合成数
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<455>
prime factors 素因数
165430434927213230984656672494704529732277169<45>
composite cofactor 合成数の残り
228360505697753869523628965406793672683560155204940824248626936394659802639661789400308259010236171467919251408083791770036710558861281345005747257966421906668437900717426539861907088744939526682713009304459692815922718041430101551827723040879681908557270800720720144652944259056493466225756098428340427437407507583052700116879604323405156769388193755527588858009547963025470524675400785070682238289244503639259<411>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2156715287
Step 1 took 982272ms
Step 2 took 174445ms
********** Factor found in step 2: 165430434927213230984656672494704529732277169
Found probable prime factor of 45 digits: 165430434927213230984656672494704529732277169
Composite cofactor 228360505697753869523628965406793672683560155204940824248626936394659802639661789400308259010236171467919251408083791770036710558861281345005747257966421906668437900717426539861907088744939526682713009304459692815922718041430101551827723040879681908557270800720720144652944259056493466225756098428340427437407507583052700116879604323405156769388193755527588858009547963025470524675400785070682238289244503639259 has 411 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e62000Dmitry DomanovSeptember 7, 2020 01:01:11 UTC 2020 年 9 月 7 日 (月) 10 時 1 分 11 秒 (日本時間)
5043e6540 / 7001Dmitry DomanovSeptember 10, 2020 16:31:34 UTC 2020 年 9 月 11 日 (金) 1 時 31 分 34 秒 (日本時間)

34×10455-619

c436

composite cofactor 合成数の残り
5588715988274359887951570876731058959883445158622441419979935552782329755346611382235506350050765417593427456053057461905638346177877622171628320033210199227328882615869238520910122486993605504882007740665109481076091404143611689663354739903708309981290359690316199792981055649641984203854654195486098579441055702009635426903180998956633044476398128720040415617193029961289364857305631988544825304895970488151196123897419524084555266623<436>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10456-619

c428

composite cofactor 合成数の残り
87839166398236757741110860358892819184008370838820804342992657559192704370387564687844669899680448375855426182128156443611522235987847191843323885899113116730101131548168557555322726033019578464399462467008813689153816120664982545843046974844863771252997441372037684302222905787822280361615681635348543940194431418634606754403785879487760379969351350556232568864526460050557325424574220343934924299682621159288187421268362741127<428>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10457-619

c421

composite cofactor 合成数の残り
1086968342631955748752842223085119612518474830648172769053177964286723761739358163439700584487139396288912342806798221694260735475813702365613455731148947365320896360481734826380960774261306708992427504830304744870151861284690279476334112580810694240299342258154790689005920463043459720235872797485511598853683813714302058820982081470375865971236216612956695394954892393340285310964468166921978884942015821134450017806083<421>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10458-619

c449

composite cofactor 合成数の残り
38161898014654466343294602261497155317452420360607271887253803656572708706865014589382337415286554675774604520620458748173380737498454404267003001248070182238538679787907798540393788252484188711821993272959055873802657765168159115132432967041885347658267624151664482392370268303014386606690359662654803091245685071806206761140793189018185407484238524715833116204508186585054119146894200412549169304794214844888505816748562296788853432964636978655213<449>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10460-619

c429

composite cofactor 合成数の残り
500667109122574241267749504691091629560700227458123779377342018900067340839237192331332768260146707868086324299632378975459169757721897814588725048318118325662260003305857551101592987814230751968972611853281134233621836467304277102146842307179773024703040662016456343784701542046204484980288105976255892637973045947502873355306881097923622024162076621893166753095853594341610622712680797931071962019793856876948727748213519871377<429>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10462-619

c430

composite cofactor 合成数の残り
2142099040619419040113600319419498658048266344150789985934966502785869982743967995705442598960354280616198765262464548015735675027397131247055368271716510879101832535419015307329287517362939299523946341754194562099178512910256399008070584800497486222188251590300106655613616408349074954362983896521902312963412196629594797423756386050825435457583176134528710666795594093593449693650238485343452788174541000278118697742659953069887<430>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10463-619

c443

composite cofactor 合成数の残り
93200165392773431527769950193347701946503749860167059282571325279844802299957226700976330271534148264082683149158837446312313231706169081162274595392589173550002056261974793395928125727625943482238972592406295411298755622183235452891086513660721799942212147451877925833453458267101472847960574487632350643937770785642983614307728336971456825172853724912574828937849858884416900070973234913330013301912384147167313711033609152351532162853632471<443>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10464-619

c423

composite cofactor 合成数の残り
307460163689479922893817565834544937848075806468948572105422497113067308502020027559693113074429121997445092329029313118858185661205236019842311225067644315219038286585555199989951269415525063077651657675875356330313509669334389764912261781988262798677138356258164234594300861981563344601858529987675241051754345384988205274214973232028978466153833822013934123972234674293272163000302518982513116556618525740394464135579447<423>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10465-619

c393

composite cofactor 合成数の残り
265207181844976040950147198602144372626053240985811885235397150583745853866218026022979388312695045222409353412038824488898107406215286175256071537656578117641162553920879021809545400590742350568738459056076855887366311869644031969948399216676535765946402220294203809016835491476919045639299104724209549725543111986341670888563837999278260388130695441024469169802141076772386245519352615202827<393>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10466-619

c384

composite cofactor 合成数の残り
168682264950878319990133697622007226260016110350896473306190032221282536358734403183917574506396410347442651278076807246053490437112561765465990102497565712877523781780108310076775778290583851993024036109110228163096252174526697619670671936030939499793502886216460532724355582477559641532576884510493897205749617476115845600951056675501773610702903195008038429387513020106288195188533<384>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10467-619

c409

composite cofactor 合成数の残り
1137312128590495536377108844522094548059836177156035592722278381994413543843161100785420612284000254935026686879746512976000560528625426423531755246623712519493767649365526942268802777449948568456101972308155055318042482636289288687135350971224649521782299050226653577292906444126816837266073442715140565710288269248210866409629310997681809420543490093444869455501957122350662196469838602696484835263761699407<409>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10468-619

c422

composite cofactor 合成数の残り
11214431410844427550811114191076703443656231243332786981137906517994084083104598908389343899225258969517117389116922886816805057754039818283993543964999854326601165052862138298287699291676523859221969276208019396116194304521875035312405145549831570522148204517336773023158220620121533425534823576691949547450616387662222839484663509598184287409222285294784123110317200761035754492952901234187407812220292008052681070341711<422>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10469-619

c446

composite cofactor 合成数の残り
85567764033006960456697037843260719370301608704210739771377919936715489964617713348566143960052555308561931018625572571406930008197499729249039532634697885153691055976468225524990650720586892272154898819931192012818313674322727942251410373169227742587931316079520876102533485528677603638923571860377580325898519418779189383159624028467775836105638422135607015478559883151103677300500552864067882147682819049433152264361684134125146304555456590343<446>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10470-619

c439

composite cofactor 合成数の残り
5288407835903154164973377348791417724847090226789621689469822320911863254855945745005871038188343365561502494943302649917376735091333934883958994224807653547305103355886565468605591587085821642772827360709618874368372960712149085695099371994296569320795832782953929966996049830197230146711520154526361893030378420636180331868548460948075876558766870810193997846626112937892439991220992817905656593051273379766258128273611036157687584008873<439>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10471-619

c426

composite cofactor 合成数の残り
190902813545307352464997048729754718217568768336869710552084442348157974635425852859492733957197585826229405125954614947461282773919740361326509283776742662222397622011043979826950372923131129656748170414964400592996997768197174639625073611164394287106250368997986180858594440376895098019911364672618661023707930631506261596640460779417422863952954861472293119718592441424701662867583797453582391774238873923487714215669427439<426>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10472-619

c373

composite cofactor 合成数の残り
2035570693309249161473534802326172293557818326409402633326671139243488301158183187857325302794516457796343066496452337400451150136116536138933920974341069444031677797400674200869125567658869987382815245462266304556572487033029461836820014820429708762607820266085234443857752397750031991354211454020051310564020819179038079577747696975567352932811463313563661043241558492157<373>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10473-619

c466

composite cofactor 合成数の残り
1149683020404138381011088887839769318563630141558005246708986451307853925007163277583212017174845480733822775644867240510454892263959905443075624063083786318841241057216409118852490232172172858265468026491319419966129032990523859773604291128032436607594969084893396637761407177499432688068226415854023621562494813006394983645155451165419357467229748813165564540115330513057412810145512258841293462473615658077869378806242683985759494549948437511168726731766121891633<466>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10475-619

c476

composite cofactor 合成数の残り
37777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777771<476>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)
4511e61200Lionel DebrouxMay 3, 2020 22:01:15 UTC 2020 年 5 月 4 日 (月) 7 時 1 分 15 秒 (日本時間)
5043e6800 / 7180Dmitry DomanovSeptember 9, 2020 12:30:07 UTC 2020 年 9 月 9 日 (水) 21 時 30 分 7 秒 (日本時間)

34×10476-619

c429

composite cofactor 合成数の残り
979851456800975948498053495857512781309807743529214757316237796694478459642158277133416633870298979858052921292115138313533917706839380997396818970401458196843444129440116647280566541363757456754035387311617955452138627260991965520192820349326754498893599554957526089414523851234910718699693078899832680620404392128705026636300473534353100725332875652288520325620637909458133979573465973332693614001298435238946809488739079026109<429>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10477-619

c467

composite cofactor 合成数の残り
78247818848596521332836816410848063300963721756121240692937034364320995390721193989004442283530769732325304290849728133869290867306034585308547520901281069733825855578549309780845098619318901023790063136914375632624451478147646879709713928814063975584145547664711729887564345720264479171399637738710948710457577505146873254665866415185756799517439382419192585098955016818913592904056753636045790809055940606951519080571080078332657066973576528944640427874992568617367<467>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10478-619

c428

composite cofactor 合成数の残り
64433881052988445198178072848218735821051826740650704805071411183977617929331636221133953199609981349632845224588622053217396094961692272687839239558329738570254720051592832617268348796283431557615315117041873300369150397370279682508463595701153495759680829680360394637461470748216248693910550454518367754684930984211670692101865068938049453188636030017149086836959505147901805976179725691068546130279551100976841436885682764021<428>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10479-619

c426

composite cofactor 合成数の残り
208801136487295337002525930172727404265105216929050974011709977918149767710425218300717294042407001963753370030863128335402891116915716453659562285953478366998853752241203720310885700153976896843397850290010071841315909234132031465317379621063869813847112186731200385693411812436671837698394199462949995247452812717735333918588833638444319824281331352882458645243361508610758380539536259399513454019740572708341367556216749647<426>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10480-619

c418

composite cofactor 合成数の残り
4576412676436879285170131834771965426814692189771132527765112705520732349944375215250529428207581374508179702284052147553825666390927828008408964566639035116835315737194496507180557704922325307150672272289945724597823755544386212059156511425023430843932804217050190403513279726851565774321014306153521933263036860771244035110206455771561212924003383638346395059025941513433762365757474972400440530150936657707918773523<418>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10481-619

c450

composite cofactor 合成数の残り
505906489341646787734126531481302457603243782763311899700936202602983259787167422997823886955334797097498128051564293863329930315719777739106270429648726951442772937483566963484231889334903321937400686926615819986478982151836066976845310536117675126226651898086380237615856628595700933658338006667891079721612978291310297912119633577976417910975471555535252481264814633176916484869943006934677385568336450529430134655054099466739909876204517616617797<450>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10482-619

c455

composite cofactor 合成数の残り
71271845311000181524778092643438103537117900410052890517885543637843524119008212008700443313306907083392452622952951223727718719330270196597091333484890104675342337307570658713909620051283928303984559186457692342281640283986469730930703908881222098517820717531807015940982763523822156934273861901332029359463224325932134433864452955596034458811797958988785507856176629883809254463631057164273407573556326512460447385980100282269325516121537941661393040027<455>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10483-619

c467

composite cofactor 合成数の残り
55637322703318492155722087872080120130381893631310228858925345293385795393332978245623725243589267173297427935334489408580876371050610019067686849816945487562204374629825420502201149497536008247556190045817384643779560428457536143039074699890443376324282788573495301112948245223963072500188802543542020006680104534371981837688194390235626327498033390550764701541732728355488801085495937680447646076717773114323986620216936273071662414756426455907291715051841529117931<467>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10484-619

c428

composite cofactor 合成数の残り
20703530232369303831261714062540981136614998022815957248146905649170738935073673812610771127963044344356940186095159411855510912649004077427436211450475831244116688023812095937992941691685996311728246505455548079992970901774098948820774565154716749156292672062769261246359813697228959026162124728867115615790682444967603366353321947283328437332905002153087063454695966900392384860125528198319846360785741922627169220636727338267<428>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10485-619

c459

composite cofactor 合成数の残り
141359423663425518261864795093094869353298694859631103101524296005441294920228389558179871235603158510640121122834904160786600802544059332718329966794979936019340238528285145258007308568934032450239143434892228610941140748462540929400208711444406989189479298231094970967230207638820944002447012776481963328121093663957854587682906994712992315578754618966083866307692949964527881430303469085200366649260522037177488546096429102281197252933175084208409533132003<459>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10486-619

c410

composite cofactor 合成数の残り
47605564187218327012155722741653415765291945328825838719403645927498544734961537731390788794567433760453869621586113281411197665922074661118266747074958579037294578727866155494169948760320092781012148105084590993440267129555435901378526215441621911053566219160529975102623772873345539388212841612992920785948726418355479966668091266927441733359904185421291807391146048898352776248420508468369247006877950160701<410>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10487-619

c466

name 名前Jason Parker-Burlingham
date 日付September 18, 2020 22:24:15 UTC 2020 年 9 月 19 日 (土) 7 時 24 分 15 秒 (日本時間)
composite number 合成数
1306054947191491324422298237776625561952882875314843188148122227381045261293926488149565090127431183856228689019037223074669505128774078957037153100269991578292972194206139581702617717034735193595886733584978345822554920139067473245110052084261930663214837628481148757731794320018459697409219015201586130758359807890430999478395124503084520630826166013803673233271046710823272873271799292750700056578033264755485517143494909508727282902283699334513507115088347046969<466>
prime factors 素因数
133060526169352277317047838384483557651631<42>
composite cofactor 合成数の残り
9815495134366257280712764507603501050719524610153463893753547141483494328655931246328675098919448765089637147061453589070523786631026967160910396455007353953946709480658532222873007099130867617885601287432623295685908998934556459733320995356887292031778261663477125496182137519446358021570574019762124035637273746768384900268849788211678631403786703903237600685193190893572973450429781176214006692339554203514421704978120599<424>
factorization results 素因数分解の結果
Run 511 out of 5208:
Using mpz_mod
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:3648987283129106135
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35  40  45  50  55  60  65  70  75  80
122 686 4482  33676 284176  2657998 2.7e+07 3e+08 3.7e+09 4.4e+10
Step 1 took 272360ms
Using 53 small primes for NTT
Estimated memory usage: 283.13MB
Initializing tables of differences for F took 281ms
Computing roots of F took 6290ms
Building F from its roots took 4693ms
Computing 1/F took 2530ms
Initializing table of differences for G took 258ms
Computing roots of G took 6457ms
Building G from its roots took 6075ms
Computing roots of G took 6531ms
Building G from its roots took 6050ms
Computing G * H took 1162ms
Reducing  G * H mod F took 1374ms
Computing roots of G took 6532ms
Building G from its roots took 6034ms
Computing G * H took 1163ms
Reducing  G * H mod F took 1380ms
Computing polyeval(F,G) took 10220ms
Computing product of all F(g_i) took 60ms
Step 2 took 67224ms
********** Factor found in step 2: 133060526169352277317047838384483557651631
Composite cofactor 9815495134366257280712764507603501050719524610153463893753547141483494328655931246328675098919448765089637147061453589070523786631026967160910396455007353953946709480658532222873007099130867617885601287432623295685908998934556459733320995356887292031778261663477125496182137519446358021570574019762124035637273746768384900268849788211678631403786703903237600685193190893572973450429781176214006692339554203514421704978120599 has 424 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10488-619

c428

composite cofactor 合成数の残り
17688966672921763437892171485346896285608528796533247020782818760493207316638419084440111080474800132677568446934789333696960318369985908738641529165154522391583399706668984798716479848309734806255783260870591447884390165811320568511820812792523232293896038467492324310251460682005880252627743899440773802294277161698153395472254536401922344292114801965952540254222373936797093068540803597238788001921891787356665758400813973373<428>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10489-619

c417

composite cofactor 合成数の残り
232990971836343324534850913715511536709547506358461404974625234058011891207472559391003829799385493665258284001045194618722522229336990782336555854734914993411042025737063098180782733282379710697221937167774182771376298679414176236077270897785483438171605936387782882282761209600110050300574813899354408198460467694174049487324371493137022751420190349394505112293554729628882637849182065507538962168061647392062406591<417>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10491-619

c446

composite cofactor 合成数の残り
17055898364807038575410281584269154678330760880062817772185360163014318498534032110017148238839298151074389919662647617953701312446476947236702152678281062789609428510580447231326808458513631353702552008594175265473210875313895940256070443187701795142763825655166910209198062161909878432656688149408301523814336793795336722816446563045017630325379124274137444916075901216194751795877561941120820895960585451244316243022034133235764799371430696549<446>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10492-619

c470

composite cofactor 合成数の残り
15184555907426671375713356034074313383579359604949052956485453041563935715397920022505402767097840162805840759724940398890884697342857893635774762465462967276840382017017536681189256034120279041855458003419442994073146063243411643397185467407434614540735194344281506937054088981698900226010256401013559560271769690143479137805047867023113854759349719964065607482763321559577925018585799853291277419651434673506747207451833406265437191891203226325203450358056786513722761<470>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10493-619

c440

composite cofactor 合成数の残り
47350354428995476552785818194650619757466916436144481213363043040272326882849169361717164545447898665765382573659420551215508460694485372169561385406535618290950574823774123933490092244652056997388748911920965022977998359252014642659845028222963267427856691327077410724232571655928427587677102280319738034214163215038229366156982124778905321340828660742180610256010079037911947854143206612838750994495174597080996688459488490881672028745849<440>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10495-619

c494

composite cofactor 合成数の残り
66276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803118908382066276803<494>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10496-619

c457

composite cofactor 合成数の残り
6683740437480738111362687820953897073474338309850548379828574335661270130396679935140074538812673010881958640750064996044744434184525662884195773489365251260317106664169638768706240397549959493765594008989767604751788437117617040877321776454522696114164015503765639027429471378254819978668722805832610626512646282441426889781966433773422216686737693198305922273437463289594551279263198811117960721532812111408646512040178143468666870639627515819310450772017<457>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10497-619

c484

composite cofactor 合成数の残り
1240190687131282646327639818080860077246199856013924177377554232399427358136950634254577811134294129271121480456874547632157752794661523932722579527092050354334491315397256499486681224524865835472328581333594655492181289733480276088714608377326118040777571956059700557388107292528506634673536916801763811798826833700736915154655753927646622722655224489055327593349633651017134480952223169944461522526755349591499137664446042210277585248346785455048893055250731245541484332320988567443<484>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10498-619

c476

name 名前Jason Parker-Burlingham
date 日付September 10, 2020 04:15:35 UTC 2020 年 9 月 10 日 (木) 13 時 15 分 35 秒 (日本時間)
composite number 合成数
22517503042066906469776681152099313840924219113471348008275054661949043441203195216195070587525034055629323149103333821969589024163950303009480031203459959377718987447316025203418394803396552583294528113404866286402007351783619713507423287890168328103033293118700686725972793425907572669586303398466809604148744060023581769012757658346648739179143080818754417231773665915818823412322100350145536390274878320976424301527366793497374158858650512902584036332292823267135550006947<476>
prime factors 素因数
935669755384832915619490497968011695480799432757<48>
composite cofactor 合成数の残り
24065652344192370856185369377600190303394897978746328706851330825073914710497531240240879117720237326560086325855794124241016939995568545232458323492634706486515295245220865773194329956480958575159095091863760574564564085876265234906534934458955604447294013296486350049840756566196134443749880651037442978359176262745011190117384659799204326605131791631361582235452932784737222280500912333972487807563558523114361128244877911671<428>
factorization results 素因数分解の結果
Run 403 out of 5208:
Using mpz_mod
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=0:3084503457300
566976
dF=32768, k=3, d=324870, d2=11, i0=23
Expected number of curves to find a factor of n digits (assuming one exists):
35      40      45      50      55      60      65      70      75      80
122     686     4482    33676   284176  2657998 2.7e+07 3e+08   3.7e+09 4.4e+10
Step 1 took 268009ms
Using 54 small primes for NTT
Estimated memory usage: 284.88MB
Initializing tables of differences for F took 298ms
Computing roots of F took 6483ms
Building F from its roots took 4517ms
Computing 1/F took 2414ms
Initializing table of differences for G took 252ms
Computing roots of G took 6105ms
Building G from its roots took 5850ms
Computing roots of G took 6080ms
Building G from its roots took 5845ms
Computing G * H took 1121ms
Reducing  G * H mod F took 1330ms
Computing roots of G took 6220ms
Building G from its roots took 5780ms
Computing G * H took 1108ms
Reducing  G * H mod F took 1309ms
Computing polyeval(F,G) took 10057ms
Computing product of all F(g_i) took 61ms
Step 2 took 64952ms
********** Factor found in step 2: 935669755384832915619490497968011695480799432757
Found prime factor of 48 digits: 935669755384832915619490497968011695480799432757
Composite cofactor 24065652344192370856185369377600190303394897978746328706851330825073914710497531240240879117720237326560086325855794124241016939995568545232458323492634706486515295245220865773194329956480958575159095091863760574564564085876265234906534934458955604447294013296486350049840756566196134443749880651037442978359176262745011190117384659799204326605131791631361582235452932784737222280500912333972487807563558523114361128244877911671 has 428 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-gpu, --enable-assert] [ECM]
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM, Debian sid

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10499-619

c492

composite cofactor 合成数の残り
186803287162719707978816338013946273004407940576771115301735182604342103626243486367855128574172468401785812833278251362295524854028738502276218107960037992514057157512692716085077405603929722733138827487335175293960286943057173182741401873103262262226124191261334424743625853045520827731123354627100473369364313979424379417132328664707670483777016056606771549602895192942717297787863221321121075028127726402560849782130584463185682020760118497698229949463266109077205161804911403566052005889<492>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10501-619

c448

composite cofactor 合成数の残り
6197090841797606805155275678132686299096764923958214269915791694709716833366225270827030988836266238556124607263950173175464986864530518702511301299867119779297786869254870645550814789970765130563230171322012356263862127046029242185111382993529280797225530726928813018731710796171176219726944181586679614289023299862637416888919915283308976820971219838074355328814556417377634693355864203270402100772377635159747602324131388874315038242802542979997<448>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10502-619

c475

composite cofactor 合成数の残り
1976141668218752311781815955594889164113983859476167717847162446203688495275581693045421628467616067844438595424546702160854447700385480801100797205142813675512971623098838412955845707595720239077812491957377867736262959906337811494992714842339505818084086715871873982018553523600475137730500202930931903103857663563949678692499666394494070229763239326442086017420247405073852271741198111404473969876602036147717616882468142432148109024947541347328971610329168988522192492931<475>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10503-619

c430

composite cofactor 合成数の残り
4138083324788225425751425645241800399867527458064918972851434577624930507411648701196529908457024435990873999230912012739829807956558568647846936674641088670312388060666944554418459261027563607738154001861357573934242508592413849140508765724709799085909730774026245093659147089698125108878227376339643657376922542693114077499740554972361241261565640095300178744524837010466551389832510407701187940393467168094861515902194148240659<430>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10504-619

c443

composite cofactor 合成数の残り
10314878765802178243447583270379130956054060633323906810645198504817426971923786323014462726033594831645013822483051730073573732233375609614279282930432986572219023546277124861253026555895858882983345401228944770369742611597157696377806534322241827456739866757197174778891823481283859439542324141652596836818023399069043692744062927855481841728828641342224527926131900453509030441271677581639610737976009173631515469974819163773180362274489989<443>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10506-619

c437

composite cofactor 合成数の残り
48644487494990611661697047759376818420482042642372217237568355049461129056972745809555645037836971182340586257857044274251815609903740462481841141110289026580076778346199129377240766045167891839057728055762542608198302679309293269983240637746793774961682894453907703027374229548684074999219288107993638613143585458876070712168858094748348931936778970713776019883982988204597465363707934033563155967766626712152785945366274786963081618861<437>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10507-619

c499

composite cofactor 合成数の残り
3282422132896143358845950672504138158995770343149378780821066866069795100085949847036758505176113586029884893983338949861709475064704188765661770807489116297469184888678587578340020756274714666190496114364786466760142113273333415909420014256488055547905339794790183787515842433028815318372545807996301201461044051598622078539059062796428030660903177879874564041592710425658112090413741488998118108130370314314323686699291550361170414993817998626132369009920508724950808171375461137843335563798063151<499>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10508-619

c483

composite cofactor 合成数の残り
477285071641409073498112556323069767343666751517046402748549396153681568098217953151428799622807742390290008789857456375269769565365442920419901571465982089160637946175721244020961343012223374233194227375975444791901070079301262835331908715533728530827748821813456715099903401154576064570183265436585745954345854126324248606704335925530462917303072005205904633122577214011113604563841630007219882865996772601133964819555713751793795233941401361506250367230451478685020860521524750057<483>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10509-619

c435

composite cofactor 合成数の残り
398136831950175544047211563966894899441708699136957705652770574649122093332984405733439309606342413782206705954657833452695783059271814741218725713688608301295499658152675086175494091547631520177534463230762839374736436247719008208670810802261349435906739545437151830747812115555444029605448557240616470501623969545360328650469783317800549682567093357337887384414245705103558713326415303539545377252872591077124666266527597493212003779<435>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10510-619

c501

composite cofactor 合成数の残り
903041712816988560890441775779240014631871195758052219430163060868663158631308266964254097794603807669639809940766026110555999285419586721267191694157024640169645254684693179069747503354182242743470118076964448502224134515039705643065674609720564733314430391431751418706292728145557314568463109954688005060647458469628021326150328769027214684092546903316652843752720473749976100503069353829543813379116258417108347695051765487322218548842422850464639357978614380602914820558805517555022439196543265687<501>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10511-619

c439

composite cofactor 合成数の残り
1348221222492711158570876402069163190533008075525707494287779479965936901197067988413133810202289205467708275614875185689615155834305565517026066548944187588825341810359773803796900779978827693649682643542838921218304637989456780300700342359588246330601981016667091480216346722097920124973885564386950963692179205801600836136592526268091463841399529949095791816919577886860046117536482481368462033257837304043051262398879994180513148066219<439>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10513-619

c453

composite cofactor 合成数の残り
829725087985609111030136755728938644473672401450698471985892138456465187432773268452502895645426449352553259963905487822174616545266140087523084555469004283341215808062239391503882343925494503617016234896170446199244858634614403442137843963873543163785619540859752336197777726679231492065171668226446331526169017922017174619496788695422011357319038598486130033400601891948066401299467910143691738581837628414905032620619906539567643949930102808357693771<453>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10515-619

c481

composite cofactor 合成数の残り
2492543759311271391739965860271967727976488213084365556554631694980080614251603078735016703797189158509481454946260620025471603775384084152985909317270091199967098532339410199865160493603613289671176578248578933895286090163476232115642453431112298091317542320393334458515431103586937287211304598766211228006622549621746521083359621543447699512812631082893372933618560183241643014289204712707591364761899477599020378619299116897945829716819512707879879040708428176036357181536348733<481>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10516-619

c498

composite cofactor 合成数の残り
276395997018165439766296775245482197353982477735192495488886198436067901789897271360629784530068781901046542858354100930829542508167208010685662409244931618201165332117121311972809563837874737528297447843254832303516512685482559360272550034852048733354739799307269818507009091436537474186161503408363902489708265720555062479272655709669546793944363586376547317879931025830629972675470555515756799872975620996130837907179097984228982105621617474252994496095545693164042576315765491959811938058005479<498>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10517-619

c515

composite cofactor 合成数の残り
87246599948678470618424429047985629971773158840133435976392096484475237362073389787015653066461380549140364382858609186553759302027200410572235052604567616114960225814729278932512188863228124198101103412881703874775468308955606877084937131126507569925583782396715422119579163459071080318193482165768539902489094175006415191172696946369001796253528355144983320502950987939440595329740826276623043366692327431357454452142673851680780087246599948678470618424429047985629971773158840133435976392096484475237362073389787<515>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10519-619

c515

composite cofactor 合成数の残り
18583286738474672893160858569710007810446102729502224802019675328117988566906117781964482966504718788413430032012444243307693863306808424350445807583183437263097254538011293172664422461509367342934333770040571687488146322613509721518516878816747476635616180795703544106064655627101209498683046194224861048939085625773051064139121043331305568809811538144109016118814976598722890947261178803465892290176929286767989304771914750811789018479985526899034270313582032366619825852740570211756552384918897617567983401845539<515>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10520-619

c496

name 名前Jason Parker-Burlingham
date 日付May 31, 2020 13:34:10 UTC 2020 年 5 月 31 日 (日) 22 時 34 分 10 秒 (日本時間)
composite number 合成数
2903294972874590868325243750389990178506089673062991160330972867470673798610467543391889389330355271689694126635592038101241913480180027734083941578115507669561550434549801753152791304857342683277032568477391865586746923167122706313138905477086785928612755726485884607764357161558694391483031039570505445209683079409795847821799441298132180631827201359514096328848976996611510311336306766108423379011672799679235575489671271240315231018091641448626133319933873498415315492903084976778742024835889<496>
prime factors 素因数
11710097096514100662369186852525648999803<41>
composite cofactor 合成数の残り
247930905179159705385148728464550995578690932182676508299339081698869671766155616935557265559515839967425522926900653444362126759136819509954745112001289433628952150104969595425281713955318422901974525383503056344858239284737346734186308297119082025436964027396867669530973380851126366465981205039904118960340745399836821519651889758069433825267989026513046481700057441196235579672175045808049530459662722653385543850133198710684177891204124506994836356163<456>
factorization results 素因数分解の結果
Performing 64 curve(s) with B1=43000000
thread 13 with sigma -1:4601607779263945538 found factor in step 2: 11710097096514100662369186852525648999803
software ソフトウェア
GMP-ECM 7.0.5-dev w/ GMP-6.2.0
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 64GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10521-619

c500

composite cofactor 合成数の残り
22869228363471278223297748576595580111667490554962727429527133178254398261178040236006337549268172501826597047712195020875537306515506207967457656265266059394212596586272473823275479861391934723898802448172109992843360501807613378962083462907818931596640583556548187280680121609148908148421346748858980829259892486457761651413845435228733540415468660628221013796938972283518004513589378670400319389396480293570446164953742701296237290802551449329441946576107540939203798631113859701801298787321877677<500>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10522-619

c490

composite cofactor 合成数の残り
5712921097693734069139912427131886068924427547742015198049124237542428098510542710623949153552062011346728096898484317985841859893061439066199415297402431452495379510168384329847680158246661213390306431387797227225647775603536173664212168323534316780789033756325368814540630500043723003890429328105011472351229676677273884404451634964172017974077539723251135013085985416378338813980856487561462783544848869739136589978785775639236737835290763669295805531976357238773851277196915108503511329<490>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10524-619

c454

composite cofactor 合成数の残り
8955154152564003108368983885505562484082485714939340690908129766527222461120266506410041627731115104473546622230132879086363975149910279055820858694640984505109399246012151941953933857918678369620471674291626978235724987356696098091327256980373462589400381843796540748915729030724633470572378417305491910216840984776687316092040425150343434795058969164438527458697767952992252434425967303998538132343869188734807758023323416334625218501634149780579890611<454>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10525-619

c479

composite cofactor 合成数の残り
10318592711389342880259175310084264613028783675232657072536617885950891647186911837071437244425497324504193435197606323375676225745290420828506150451665441341945666331676575048642718059968437322960529694658740280676760872933026260464362397817989584011618378356749219159528661635103306131115398718313475239158091433333216160189809208582315827916746090837205830284342905913222946919196773906417906981788593796277353926925159258435237542801938393908064259901109968118870166289222171<479>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62753Jason Parker-BurlinghamAugust 1, 2019 00:00:00 UTC 2019 年 8 月 1 日 (木) 9 時 0 分 0 秒 (日本時間)

34×10527-619

c494

composite cofactor 合成数の残り
613447710028042774981001944059102079275595283975299183524837929125637710474084373512582393412642382584803774134373341475695392538992069639449972436487945083863741269621195161252996365412402043088754161514726120239473012759867580431392429656315365159005520223077023289154257377120905638746523749659772027636526129003856162371624093776575484644924998896649302381710482986135682071215354087600808111637392947169697174381121799179241998139620023411525033465404007346