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

composite cofactor 合成数の残り
15829259695581473984062810731903219582373184154929872230653051212182795602112438226792989490704525470207725116522210292924318127331975936976006998832311314317854376411844523782360766631444454827926681638093153831340370108100798083<230>

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)

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

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)

34×10243-619

c204

composite cofactor 合成数の残り
656575206933469333862823431656644899998015213299779275402310539952467094778814642561663711976835882984611042036405037781940667025339597921821153850202040762242490300705041554384165620745284131150547484237<204>

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)

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)

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)

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)
5043e6800 / 7159Dmitry DomanovSeptember 12, 2013 15:25:18 UTC 2013 年 9 月 13 日 (金) 0 時 25 分 18 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)
5043e6800 / 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)
5511e7272 / 17288Jason 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)
5511e72610 / 12245Jason 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)

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

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)
6026e74448 / 26194376Serge 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)
6585e74608 / 67785Jason 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)

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)
5511e76624 / 16619Jason 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)

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)
5043e61200 / 7233Dmitry DomanovJune 1, 2017 14:38:40 UTC 2017 年 6 月 1 日 (木) 23 時 38 分 40 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)
4511e61000 / 2770Dmitry DomanovMay 26, 2017 16:49:19 UTC 2017 年 5 月 27 日 (土) 1 時 49 分 19 秒 (日本時間)
5043e6400 / 7278Dmitry DomanovJune 21, 2017 14:17:50 UTC 2017 年 6 月 21 日 (水) 23 時 17 分 50 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)
4511e61000 / 4218Dmitry DomanovMay 27, 2017 20:38:13 UTC 2017 年 5 月 28 日 (日) 5 時 38 分 13 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)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 12:45:21 UTC 2017 年 5 月 29 日 (月) 21 時 45 分 21 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)
4511e61000 / 4218Dmitry DomanovMay 27, 2017 20:38:29 UTC 2017 年 5 月 28 日 (日) 5 時 38 分 29 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

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)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 12:46:03 UTC 2017 年 5 月 29 日 (月) 21 時 46 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)
4511e61000 / 2814Dmitry DomanovMay 26, 2017 16:49:43 UTC 2017 年 5 月 27 日 (土) 1 時 49 分 43 秒 (日本時間)
5043e6400 / 7286Dmitry DomanovJune 21, 2017 14:18:33 UTC 2017 年 6 月 21 日 (水) 23 時 18 分 33 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)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 13:28:30 UTC 2017 年 5 月 29 日 (月) 22 時 28 分 30 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)
4511e61000 / 4218Dmitry DomanovMay 28, 2017 14:10:26 UTC 2017 年 5 月 28 日 (日) 23 時 10 分 26 秒 (日本時間)

34×10286-619

c233

composite cofactor 合成数の残り
19941186625358620940415196755346304172440211658154389169830082238553449506906169770082931604348771983973866637679548176302889494222098942415150128057625543337070592605350761054814087691190942916677188459251484242366312921525322022427<233>

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)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 13:29:42 UTC 2017 年 5 月 29 日 (月) 22 時 29 分 42 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)
4511e61000 / 4218Dmitry DomanovMay 29, 2017 13:29:21 UTC 2017 年 5 月 29 日 (月) 22 時 29 分 21 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)

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)
4511e61000 / 4218Dmitry DomanovMay 30, 2017 06:55:58 UTC 2017 年 5 月 30 日 (火) 15 時 55 分 58 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)
4511e61000 / 4218Dmitry DomanovMay 26, 2017 16:50:00 UTC 2017 年 5 月 27 日 (土) 1 時 50 分 0 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)
4511e61200 / 4173Dmitry DomanovJune 1, 2017 07:06:48 UTC 2017 年 6 月 1 日 (木) 16 時 6 分 48 秒 (日本時間)

34×10294-619

c253

composite cofactor 合成数の残り
4099531293393131110751770697763777722108933878854076331244079228800251840200676000196580891780254301090241907390512209080986248791019749704419245058459877786927218483128817231253252039564322452712709010227119464443104603631473566598376669438705892798233<253>

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)
4511e61000 / 4218Dmitry DomanovMay 28, 2017 14:11:14 UTC 2017 年 5 月 28 日 (日) 23 時 11 分 14 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)
4511e61000 / 4218Dmitry DomanovJune 1, 2017 13:54:04 UTC 2017 年 6 月 1 日 (木) 22 時 54 分 4 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)
4511e61000 / 4218Dmitry DomanovJune 1, 2017 13:53:37 UTC 2017 年 6 月 1 日 (木) 22 時 53 分 37 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)
4511e61800 / 4173Dmitry DomanovMay 22, 2017 14:33:16 UTC 2017 年 5 月 22 日 (月) 23 時 33 分 16 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)
5511e711850 / 14250Jason 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)