Table of contents 目次

17×10104+19

c102

name 名前Robert Backstrom
date 日付May 10, 2008 15:04:31 UTC 2008 年 5 月 11 日 (日) 0 時 4 分 31 秒 (日本時間)
composite number 合成数
391074304117782378651943869335173682999769956291695422130204738900391074304117782378651943869335173683<102>
prime factors 素因数
265864911884614770878329372513092064450057351103<48>
1470951173457249660790510390603202909803884594187358861<55>
factorization results 素因数分解の結果
Number: n
N=391074304117782378651943869335173682999769956291695422130204738900391074304117782378651943869335173683
  ( 102 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=265864911884614770878329372513092064450057351103 (pp48)
 r2=1470951173457249660790510390603202909803884594187358861 (pp55)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.65 hours.
Scaled time: 0.78 units (timescale=1.187).
Factorization parameters were as follows:
name: KA_1_8_103_9
n: 391074304117782378651943869335173682999769956291695422130204738900391074304117782378651943869335173683
skew: 0.90
deg: 5
c5: 17
c0: 10
m: 1000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 140001)
Primes: RFBsize:63951, AFBsize:63823, largePrimes:3718009 encountered
Relations: rels:3165750, finalFF:190127
Max relations in full relation-set: 28
Initial matrix: 127839 x 190127 with sparse part having weight 7841354.
Pruned matrix : 76058 x 76761 with weight 2308544.
Total sieving time: 0.56 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.03 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 0.65 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17×10113+19

c88

name 名前Sinkiti Sibata
date 日付May 10, 2008 20:51:08 UTC 2008 年 5 月 11 日 (日) 5 時 51 分 8 秒 (日本時間)
composite number 合成数
6012530146280878871724387278640046283639523062843790961849685220400824632099961998727517<88>
prime factors 素因数
18762080918146736784154405984746413<35>
320461795922942801708809319235463489099097846767274609<54>
factorization results 素因数分解の結果
Sun May 11 03:36:19 2008  Msieve v. 1.35
Sun May 11 03:36:19 2008  random seeds: 9a6638be 9dc82e78
Sun May 11 03:36:19 2008  factoring 6012530146280878871724387278640046283639523062843790961849685220400824632099961998727517 (88 digits)
Sun May 11 03:36:21 2008  searching for 15-digit factors
Sun May 11 03:36:23 2008  commencing quadratic sieve (88-digit input)
Sun May 11 03:36:23 2008  using multiplier of 13
Sun May 11 03:36:23 2008  using 64kb Pentium 4 sieve core
Sun May 11 03:36:23 2008  sieve interval: 14 blocks of size 65536
Sun May 11 03:36:23 2008  processing polynomials in batches of 8
Sun May 11 03:36:23 2008  using a sieve bound of 1524241 (58000 primes)
Sun May 11 03:36:23 2008  using large prime bound of 121939280 (26 bits)
Sun May 11 03:36:23 2008  using double large prime bound of 358970217792320 (42-49 bits)
Sun May 11 03:36:23 2008  using trial factoring cutoff of 49 bits
Sun May 11 03:36:23 2008  polynomial 'A' values have 11 factors
Sun May 11 04:48:35 2008  58535 relations (17055 full + 41480 combined from 603615 partial), need 58096
Sun May 11 04:48:38 2008  begin with 620670 relations
Sun May 11 04:48:38 2008  reduce to 137330 relations in 11 passes
Sun May 11 04:48:38 2008  attempting to read 137330 relations
Sun May 11 04:48:42 2008  recovered 137330 relations
Sun May 11 04:48:42 2008  recovered 107941 polynomials
Sun May 11 04:48:42 2008  attempting to build 58535 cycles
Sun May 11 04:48:42 2008  found 58534 cycles in 4 passes
Sun May 11 04:48:42 2008  distribution of cycle lengths:
Sun May 11 04:48:42 2008     length 1 : 17055
Sun May 11 04:48:42 2008     length 2 : 11927
Sun May 11 04:48:42 2008     length 3 : 10231
Sun May 11 04:48:42 2008     length 4 : 7473
Sun May 11 04:48:42 2008     length 5 : 4986
Sun May 11 04:48:42 2008     length 6 : 3101
Sun May 11 04:48:42 2008     length 7 : 1787
Sun May 11 04:48:42 2008     length 9+: 1974
Sun May 11 04:48:42 2008  largest cycle: 16 relations
Sun May 11 04:48:43 2008  matrix is 58000 x 58534 (13.8 MB) with weight 3393855 (57.98/col)
Sun May 11 04:48:43 2008  sparse part has weight 3393855 (57.98/col)
Sun May 11 04:48:44 2008  filtering completed in 4 passes
Sun May 11 04:48:44 2008  matrix is 52822 x 52886 (12.6 MB) with weight 3079016 (58.22/col)
Sun May 11 04:48:44 2008  sparse part has weight 3079016 (58.22/col)
Sun May 11 04:48:44 2008  saving the first 48 matrix rows for later
Sun May 11 04:48:44 2008  matrix is 52774 x 52886 (9.2 MB) with weight 2535293 (47.94/col)
Sun May 11 04:48:44 2008  sparse part has weight 2089021 (39.50/col)
Sun May 11 04:48:44 2008  matrix includes 64 packed rows
Sun May 11 04:48:44 2008  using block size 21154 for processor cache size 512 kB
Sun May 11 04:48:45 2008  commencing Lanczos iteration
Sun May 11 04:48:45 2008  memory use: 8.3 MB
Sun May 11 04:49:16 2008  lanczos halted after 836 iterations (dim = 52774)
Sun May 11 04:49:17 2008  recovered 18 nontrivial dependencies
Sun May 11 04:49:17 2008  prp35 factor: 18762080918146736784154405984746413
Sun May 11 04:49:17 2008  prp54 factor: 320461795922942801708809319235463489099097846767274609
Sun May 11 04:49:17 2008  elapsed time 01:12:58
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10115+19

c112

name 名前Robert Backstrom
date 日付May 10, 2008 17:37:18 UTC 2008 年 5 月 11 日 (日) 2 時 37 分 18 秒 (日本時間)
composite number 合成数
4179882471539917877603206215731110619360232106414890216616262201568685304024980944653438568021440338324604755231<112>
prime factors 素因数
85206749882772292395357406238644765829<38>
49055767028910420725937601905379783432564947652856091509002810221880045139<74>
factorization results 素因数分解の結果
Number: n
N=4179882471539917877603206215731110619360232106414890216616262201568685304024980944653438568021440338324604755231
  ( 112 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=85206749882772292395357406238644765829 (pp38)
 r2=49055767028910420725937601905379783432564947652856091509002810221880045139 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.05 hours.
Scaled time: 1.53 units (timescale=1.453).
Factorization parameters were as follows:
name: KA_1_8_114_9
n: 4179882471539917877603206215731110619360232106414890216616262201568685304024980944653438568021440338324604755231
skew: 0.90
deg: 5
c5: 17
c0: 1
m: 100000000000000000000000
type: snfs
rlim: 1000000
alim: 1000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 1000000/1000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:78498, AFBsize:78436, largePrimes:3886230 encountered
Relations: rels:3300843, finalFF:184286
Max relations in full relation-set: 28
Initial matrix: 156999 x 184286 with sparse part having weight 7862251.
Pruned matrix : 129226 x 130074 with weight 4084209.
Total sieving time: 0.86 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Total square root time: 0.02 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,1000000,1000000,28,28,48,48,2.5,2.5,50000
total time: 1.05 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17×10119+19

c103

name 名前Sinkiti Sibata
date 日付May 12, 2008 08:49:49 UTC 2008 年 5 月 12 日 (月) 17 時 49 分 49 秒 (日本時間)
composite number 合成数
2013335305893753905147239573058748417504252779225347674038251424889645608319577440321753664083296901487<103>
prime factors 素因数
86639197230970329577098695493425102913119<41>
23238157441907373887888004008759141749503788540363070255980273<62>
factorization results 素因数分解の結果
Number: 18889_119
N=2013335305893753905147239573058748417504252779225347674038251424889645608319577440321753664083296901487
  ( 103 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=86639197230970329577098695493425102913119 (pp41)
 r2=23238157441907373887888004008759141749503788540363070255980273 (pp62)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.07 hours.
Scaled time: 1.40 units (timescale=0.676).
Factorization parameters were as follows:
name: 18889_119
n: 2013335305893753905147239573058748417504252779225347674038251424889645608319577440321753664083296901487
m: 1000000000000000000000000
c5: 17
c0: 10
skew: 0.9
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63823, largePrimes:2084723 encountered
Relations: rels:2152414, finalFF:219464
Max relations in full relation-set: 28
Initial matrix: 112986 x 219464 with sparse part having weight 18433757.
Pruned matrix : 86159 x 86787 with weight 4759705.
Total sieving time: 1.86 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,121,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.07 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10129+19

c93

name 名前Sinkiti Sibata
date 日付May 11, 2008 01:41:15 UTC 2008 年 5 月 11 日 (日) 10 時 41 分 15 秒 (日本時間)
composite number 合成数
266107681510763448035340107082246050075465189572361909539503641703667818407790475101647165069<93>
prime factors 素因数
6729959298046035632672774532523<31>
39540756448263316717593054313840418944154669628044642036622503<62>
factorization results 素因数分解の結果
Sun May 11 05:52:11 2008  Msieve v. 1.35
Sun May 11 05:52:11 2008  random seeds: 8b66ad6c bf0aea57
Sun May 11 05:52:11 2008  factoring 266107681510763448035340107082246050075465189572361909539503641703667818407790475101647165069 (93 digits)
Sun May 11 05:52:13 2008  searching for 15-digit factors
Sun May 11 05:52:14 2008  commencing quadratic sieve (93-digit input)
Sun May 11 05:52:15 2008  using multiplier of 5
Sun May 11 05:52:15 2008  using 64kb Pentium 4 sieve core
Sun May 11 05:52:15 2008  sieve interval: 18 blocks of size 65536
Sun May 11 05:52:15 2008  processing polynomials in batches of 6
Sun May 11 05:52:15 2008  using a sieve bound of 1909319 (71765 primes)
Sun May 11 05:52:15 2008  using large prime bound of 231027599 (27 bits)
Sun May 11 05:52:15 2008  using double large prime bound of 1133952533144101 (42-51 bits)
Sun May 11 05:52:15 2008  using trial factoring cutoff of 51 bits
Sun May 11 05:52:15 2008  polynomial 'A' values have 12 factors
Sun May 11 10:31:39 2008  72146 relations (17646 full + 54500 combined from 969220 partial), need 71861
Sun May 11 10:31:44 2008  begin with 986866 relations
Sun May 11 10:31:45 2008  reduce to 186840 relations in 11 passes
Sun May 11 10:31:45 2008  attempting to read 186840 relations
Sun May 11 10:31:51 2008  recovered 186840 relations
Sun May 11 10:31:51 2008  recovered 170297 polynomials
Sun May 11 10:31:51 2008  attempting to build 72146 cycles
Sun May 11 10:31:51 2008  found 72146 cycles in 5 passes
Sun May 11 10:31:51 2008  distribution of cycle lengths:
Sun May 11 10:31:51 2008     length 1 : 17646
Sun May 11 10:31:51 2008     length 2 : 12583
Sun May 11 10:31:51 2008     length 3 : 12249
Sun May 11 10:31:51 2008     length 4 : 9903
Sun May 11 10:31:51 2008     length 5 : 7433
Sun May 11 10:31:51 2008     length 6 : 4817
Sun May 11 10:31:51 2008     length 7 : 3200
Sun May 11 10:31:51 2008     length 9+: 4315
Sun May 11 10:31:51 2008  largest cycle: 22 relations
Sun May 11 10:31:51 2008  matrix is 71765 x 72146 (18.0 MB) with weight 4433526 (61.45/col)
Sun May 11 10:31:51 2008  sparse part has weight 4433526 (61.45/col)
Sun May 11 10:31:53 2008  filtering completed in 3 passes
Sun May 11 10:31:53 2008  matrix is 68458 x 68522 (17.1 MB) with weight 4218924 (61.57/col)
Sun May 11 10:31:53 2008  sparse part has weight 4218924 (61.57/col)
Sun May 11 10:31:53 2008  saving the first 48 matrix rows for later
Sun May 11 10:31:54 2008  matrix is 68410 x 68522 (10.0 MB) with weight 3180791 (46.42/col)
Sun May 11 10:31:54 2008  sparse part has weight 2218415 (32.38/col)
Sun May 11 10:31:54 2008  matrix includes 64 packed rows
Sun May 11 10:31:54 2008  using block size 21845 for processor cache size 512 kB
Sun May 11 10:31:54 2008  commencing Lanczos iteration
Sun May 11 10:31:54 2008  memory use: 10.3 MB
Sun May 11 10:32:41 2008  lanczos halted after 1084 iterations (dim = 68410)
Sun May 11 10:32:41 2008  recovered 18 nontrivial dependencies
Sun May 11 10:32:42 2008  prp31 factor: 6729959298046035632672774532523
Sun May 11 10:32:42 2008  prp62 factor: 39540756448263316717593054313840418944154669628044642036622503
Sun May 11 10:32:42 2008  elapsed time 04:40:31
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10132+19

c107

name 名前Sinkiti Sibata
date 日付May 10, 2008 18:33:44 UTC 2008 年 5 月 11 日 (日) 3 時 33 分 44 秒 (日本時間)
composite number 合成数
93212716398477633470908531852402735461671942666641846206285286787028561038608429955683517892828816714623597<107>
prime factors 素因数
764434950764564155154419754456677<33>
121936753814368589908864502423562855042102683681063541354324629952254041961<75>
factorization results 素因数分解の結果
Number: 18889_132
N=93212716398477633470908531852402735461671942666641846206285286787028561038608429955683517892828816714623597
  ( 107 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=764434950764564155154419754456677 (pp33)
 r2=121936753814368589908864502423562855042102683681063541354324629952254041961 (pp75)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 6.63 hours.
Scaled time: 4.49 units (timescale=0.677).
Factorization parameters were as follows:
name: 18889_132
n: 93212716398477633470908531852402735461671942666641846206285286787028561038608429955683517892828816714623597
m: 100000000000000000000000000
c5: 1700
c0: 1
skew: 0.23
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1100001)
Primes: RFBsize:63951, AFBsize:63983, largePrimes:1499560 encountered
Relations: rels:1488645, finalFF:158343
Max relations in full relation-set: 28
Initial matrix: 128001 x 158343 with sparse part having weight 12844094.
Pruned matrix : 119794 x 120498 with weight 8038832.
Total sieving time: 6.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.26 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,133,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 6.63 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10133+19

c105

name 名前Sinkiti Sibata
date 日付May 13, 2008 08:43:43 UTC 2008 年 5 月 13 日 (火) 17 時 43 分 43 秒 (日本時間)
composite number 合成数
235820999876338346487677767402600117955663203582401779655854919539426132493778302474140196027811550575973<105>
prime factors 素因数
1234014527104641903445029379611028313<37>
191100667533990229020460551789426582958270387694681889491226478787821<69>
factorization results 素因数分解の結果
Number: 18889_133
N=235820999876338346487677767402600117955663203582401779655854919539426132493778302474140196027811550575973
  ( 105 digits)
SNFS difficulty: 134 digits.
Divisors found:
 r1=1234014527104641903445029379611028313 (pp37)
 r2=191100667533990229020460551789426582958270387694681889491226478787821 (pp69)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 7.65 hours.
Scaled time: 5.18 units (timescale=0.677).
Factorization parameters were as follows:
name: 18889_133
n: 235820999876338346487677767402600117955663203582401779655854919539426132493778302474140196027811550575973
m: 100000000000000000000000000
c5: 17000
c0: 1
skew: 0.14
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1150001)
Primes: RFBsize:78498, AFBsize:63878, largePrimes:1524268 encountered
Relations: rels:1529587, finalFF:179780
Max relations in full relation-set: 28
Initial matrix: 142443 x 179780 with sparse part having weight 13890647.
Pruned matrix : 129461 x 130237 with weight 8271331.
Total sieving time: 7.21 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 7.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10134+19

c128

name 名前Robert Backstrom
date 日付May 11, 2008 05:35:23 UTC 2008 年 5 月 11 日 (日) 14 時 35 分 23 秒 (日本時間)
composite number 合成数
16903884344577886690498956031018070938463188923151073763072432517978449357170634202219835990360450574429289316652620035949391401<128>
prime factors 素因数
12714871233905837021626832695666376227<38>
1329457769065054174158179915996114710331432479966297431062804648433587475807882771460823363<91>
factorization results 素因数分解の結果
Number: n
N=16903884344577886690498956031018070938463188923151073763072432517978449357170634202219835990360450574429289316652620035949391401
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=12714871233905837021626832695666376227 (pp38)
 r2=1329457769065054174158179915996114710331432479966297431062804648433587475807882771460823363 (pp91)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.82 hours.
Scaled time: 5.52 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_1_8_133_9
n: 16903884344577886690498956031018070938463188923151073763072432517978449357170634202219835990360450574429289316652620035949391401
skew: 0.90
deg: 5
c5: 17
c0: 10
m: 1000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 420001)
Primes: RFBsize:148933, AFBsize:148425, largePrimes:5309234 encountered
Relations: rels:4787842, finalFF:368807
Max relations in full relation-set: 28
Initial matrix: 297423 x 368807 with sparse part having weight 17430308.
Pruned matrix : 230148 x 231699 with weight 8092085.
Total sieving time: 3.08 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.59 hours.
Total square root time: 0.03 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000
total time: 3.82 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17×10136+19

c110

name 名前Sinkiti Sibata
date 日付May 13, 2008 19:49:56 UTC 2008 年 5 月 14 日 (水) 4 時 49 分 56 秒 (日本時間)
composite number 合成数
35580848204031197632957661319571263404262342057907723715152309747795286599815779076172254024688540843253173033<110>
prime factors 素因数
135271113016603325460958519014799560369771317<45>
263033602744615290623211932004282702100555610794776909675214160549<66>
factorization results 素因数分解の結果
Number: 18889_136
N=35580848204031197632957661319571263404262342057907723715152309747795286599815779076172254024688540843253173033
  ( 110 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=135271113016603325460958519014799560369771317 (pp45)
 r2=263033602744615290623211932004282702100555610794776909675214160549 (pp66)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 8.98 hours.
Scaled time: 6.08 units (timescale=0.677).
Factorization parameters were as follows:
name: 18889_136
n: 35580848204031197632957661319571263404262342057907723715152309747795286599815779076172254024688540843253173033
m: 1000000000000000000000000000
c5: 170
c0: 1
skew: 0.36
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1300001)
Primes: RFBsize:78498, AFBsize:63758, largePrimes:1536783 encountered
Relations: rels:1537478, finalFF:174059
Max relations in full relation-set: 28
Initial matrix: 142323 x 174059 with sparse part having weight 14424184.
Pruned matrix : 132346 x 133121 with weight 9309259.
Total sieving time: 8.46 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.37 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 8.98 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10138+19

c120

name 名前Sinkiti Sibata
date 日付May 13, 2008 02:55:25 UTC 2008 年 5 月 13 日 (火) 11 時 55 分 25 秒 (日本時間)
composite number 合成数
418816670342227751757005180681984987355373125957642242039607767360886430241132243704166233930906908148091812021472333303<120>
prime factors 素因数
31840264865105550282268277463062426428832090106619<50>
13153680477112431114501007873566580075045768560448657392843078514243637<71>
factorization results 素因数分解の結果
Number: 18889_138
N=418816670342227751757005180681984987355373125957642242039607767360886430241132243704166233930906908148091812021472333303
  ( 120 digits)
SNFS difficulty: 139 digits.
Divisors found:
 r1=31840264865105550282268277463062426428832090106619 (pp50)
 r2=13153680477112431114501007873566580075045768560448657392843078514243637 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 13.84 hours.
Scaled time: 9.37 units (timescale=0.677).
Factorization parameters were as follows:
name: 18889_138
n: 418816670342227751757005180681984987355373125957642242039607767360886430241132243704166233930906908148091812021472333303
m: 1000000000000000000000000000
c5: 17000
c0: 1
skew: 0.14
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1900001)
Primes: RFBsize:78498, AFBsize:63878, largePrimes:1627941 encountered
Relations: rels:1648597, finalFF:175753
Max relations in full relation-set: 28
Initial matrix: 142443 x 175753 with sparse part having weight 18062658.
Pruned matrix : 133976 x 134752 with weight 12318345.
Total sieving time: 13.17 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 13.84 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10140+19

c86

name 名前Sinkiti Sibata
date 日付May 11, 2008 02:40:11 UTC 2008 年 5 月 11 日 (日) 11 時 40 分 11 秒 (日本時間)
composite number 合成数
69537214107678954149627935760226226356182538302600223483249920864963697363052857080983<86>
prime factors 素因数
887678841787165579554448685089<30>
78336004908801861872486359113613068126829797389465976247<56>
factorization results 素因数分解の結果
un May 11 10:42:17 2008  Msieve v. 1.35
Sun May 11 10:42:17 2008  random seeds: 9850883f 57e30385
Sun May 11 10:42:17 2008  factoring 69537214107678954149627935760226226356182538302600223483249920864963697363052857080983 (86 digits)
Sun May 11 10:42:18 2008  searching for 15-digit factors
Sun May 11 10:42:20 2008  commencing quadratic sieve (86-digit input)
Sun May 11 10:42:20 2008  using multiplier of 7
Sun May 11 10:42:20 2008  using 64kb Pentium 4 sieve core
Sun May 11 10:42:20 2008  sieve interval: 9 blocks of size 65536
Sun May 11 10:42:20 2008  processing polynomials in batches of 12
Sun May 11 10:42:20 2008  using a sieve bound of 1466053 (56000 primes)
Sun May 11 10:42:20 2008  using large prime bound of 117284240 (26 bits)
Sun May 11 10:42:20 2008  using double large prime bound of 334681134421600 (41-49 bits)
Sun May 11 10:42:20 2008  using trial factoring cutoff of 49 bits
Sun May 11 10:42:20 2008  polynomial 'A' values have 11 factors
Sun May 11 11:33:39 2008  56345 relations (16828 full + 39517 combined from 574612 partial), need 56096
Sun May 11 11:33:42 2008  begin with 591440 relations
Sun May 11 11:33:42 2008  reduce to 130331 relations in 10 passes
Sun May 11 11:33:42 2008  attempting to read 130331 relations
Sun May 11 11:33:46 2008  recovered 130331 relations
Sun May 11 11:33:46 2008  recovered 102621 polynomials
Sun May 11 11:33:46 2008  attempting to build 56345 cycles
Sun May 11 11:33:46 2008  found 56344 cycles in 4 passes
Sun May 11 11:33:46 2008  distribution of cycle lengths:
Sun May 11 11:33:46 2008     length 1 : 16828
Sun May 11 11:33:46 2008     length 2 : 11654
Sun May 11 11:33:46 2008     length 3 : 10013
Sun May 11 11:33:46 2008     length 4 : 7125
Sun May 11 11:33:46 2008     length 5 : 4675
Sun May 11 11:33:46 2008     length 6 : 2828
Sun May 11 11:33:46 2008     length 7 : 1601
Sun May 11 11:33:46 2008     length 9+: 1620
Sun May 11 11:33:46 2008  largest cycle: 18 relations
Sun May 11 11:33:46 2008  matrix is 56000 x 56344 (12.4 MB) with weight 3029132 (53.76/col)
Sun May 11 11:33:46 2008  sparse part has weight 3029132 (53.76/col)
Sun May 11 11:33:47 2008  filtering completed in 3 passes
Sun May 11 11:33:47 2008  matrix is 50377 x 50441 (11.2 MB) with weight 2735941 (54.24/col)
Sun May 11 11:33:47 2008  sparse part has weight 2735941 (54.24/col)
Sun May 11 11:33:47 2008  saving the first 48 matrix rows for later
Sun May 11 11:33:47 2008  matrix is 50329 x 50441 (6.9 MB) with weight 2087392 (41.38/col)
Sun May 11 11:33:48 2008  sparse part has weight 1507293 (29.88/col)
Sun May 11 11:33:48 2008  matrix includes 64 packed rows
Sun May 11 11:33:48 2008  using block size 20176 for processor cache size 512 kB
Sun May 11 11:33:48 2008  commencing Lanczos iteration
Sun May 11 11:33:48 2008  memory use: 7.0 MB
Sun May 11 11:34:14 2008  lanczos halted after 798 iterations (dim = 50327)
Sun May 11 11:34:14 2008  recovered 16 nontrivial dependencies
Sun May 11 11:34:16 2008  prp30 factor: 887678841787165579554448685089
Sun May 11 11:34:16 2008  prp56 factor: 78336004908801861872486359113613068126829797389465976247
Sun May 11 11:34:16 2008  elapsed time 00:51:59
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10143+19

c123

name 名前Jo Yeong Uk
date 日付May 13, 2008 07:32:17 UTC 2008 年 5 月 13 日 (火) 16 時 32 分 17 秒 (日本時間)
composite number 合成数
853172369254454387976182331880392282540220002760894331827020690232607449767249084940972241338131506687593970016650921620837<123>
prime factors 素因数
651294001984968690031508343706506092549381<42>
1309965033693254983247199110421891812341830657407559148798183964348719311977188577<82>
factorization results 素因数分解の結果
Number: 18889_143
N=853172369254454387976182331880392282540220002760894331827020690232607449767249084940972241338131506687593970016650921620837
  ( 123 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=651294001984968690031508343706506092549381 (pp42)
 r2=1309965033693254983247199110421891812341830657407559148798183964348719311977188577 (pp82)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 7.26 hours.
Scaled time: 17.35 units (timescale=2.389).
Factorization parameters were as follows:
n: 853172369254454387976182331880392282540220002760894331827020690232607449767249084940972241338131506687593970016650921620837
m: 100000000000000000000000000000
c5: 17
c0: 100
skew: 1.43
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1425001)
Primes: RFBsize:135072, AFBsize:135058, largePrimes:3620149 encountered
Relations: rels:3640316, finalFF:341971
Max relations in full relation-set: 28
Initial matrix: 270197 x 341971 with sparse part having weight 29294147.
Pruned matrix : 237673 x 239087 with weight 16973507.
Total sieving time: 6.98 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.21 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 7.26 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.38 BogoMIPS (lpj=2672192)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672358)
execution environment 実行環境
Core 2 Quad Q6700

17×10146+19

c137

name 名前Robert Backstrom
date 日付May 13, 2008 23:47:11 UTC 2008 年 5 月 14 日 (水) 8 時 47 分 11 秒 (日本時間)
composite number 合成数
17472393748842697564100529228848415796336457975702693130378453345976558074187660708043800543522486486548479317292793680457479225899213969<137>
prime factors 素因数
3210829111399465992677672913074119450171<40>
5441707777847825911517573089597079709549116073352279752874414335353976222031085839213018547986339<97>
factorization results 素因数分解の結果
Number: n
N=17472393748842697564100529228848415796336457975702693130378453345976558074187660708043800543522486486548479317292793680457479225899213969
  ( 137 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3210829111399465992677672913074119450171 (pp40)
 r2=5441707777847825911517573089597079709549116073352279752874414335353976222031085839213018547986339 (pp97)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.41 hours.
Scaled time: 11.66 units (timescale=1.818).
Factorization parameters were as follows:
name: KA_1_8_145_9
n: 17472393748842697564100529228848415796336457975702693130378453345976558074187660708043800543522486486548479317292793680457479225899213969
skew: 0.36
deg: 5
c5: 170
c0: 1
m: 100000000000000000000000000000
type: snfs
rlim: 1600000
alim: 1600000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1200001)
Primes: RFBsize:121127, AFBsize:121025, largePrimes:6566213 encountered
Relations: rels:5867774, finalFF:300967
Max relations in full relation-set: 48
Initial matrix: 242219 x 300967 with sparse part having weight 33169592.
Pruned matrix : 220316 x 221591 with weight 18533404.
Total sieving time: 5.78 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.40 hours.
Total square root time: 0.11 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1600000,1600000,28,28,48,48,2.5,2.5,100000
total time: 6.41 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

17×10148+19

c141

name 名前Robert Backstrom
date 日付May 13, 2008 01:44:09 UTC 2008 年 5 月 13 日 (火) 10 時 44 分 9 秒 (日本時間)
composite number 合成数
310067887339372044057852532081215001964982278863308124029803280292445671423201078818835634127341864552129161310084319113472281721057927336871<141>
prime factors 素因数
125681550014263882017357848163817899931<39>
20778615782132915248991027933944063474034054154181<50>
118732236759698250781220009050291048271486353167257761<54>
factorization results 素因数分解の結果
Number: n
N=310067887339372044057852532081215001964982278863308124029803280292445671423201078818835634127341864552129161310084319113472281721057927336871
  ( 141 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=125681550014263882017357848163817899931 (pp39)
 r2=20778615782132915248991027933944063474034054154181 (pp50)
 r3=118732236759698250781220009050291048271486353167257761 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.43 hours.
Scaled time: 19.02 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_147_9
n: 310067887339372044057852532081215001964982278863308124029803280292445671423201078818835634127341864552129161310084319113472281721057927336871
skew: 1.43
deg: 5
c5: 17
c0: 100
m: 1000000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:114155, AFBsize:114282, largePrimes:6189604 encountered
Relations: rels:5491469, finalFF:264671
Max relations in full relation-set: 48
Initial matrix: 228504 x 264671 with sparse part having weight 29914799.
Pruned matrix : 213309 x 214515 with weight 19462184.
Total sieving time: 9.85 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.39 hours.
Total square root time: 0.07 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,100000
total time: 10.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

17×10150+19

c126

name 名前Sinkiti Sibata
date 日付May 15, 2008 02:20:41 UTC 2008 年 5 月 15 日 (木) 11 時 20 分 41 秒 (日本時間)
composite number 合成数
645209236947010492147224285543187145714532531053986933972672816337481145452624873946152946638065994199823548790633407632372341<126>
prime factors 素因数
12255622955186676467421637879285692660200973908309<50>
52645976406605495742233878007732625356159233240897545278160906703716316402849<77>
factorization results 素因数分解の結果
Number: 18889_150
N=645209236947010492147224285543187145714532531053986933972672816337481145452624873946152946638065994199823548790633407632372341
  ( 126 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=12255622955186676467421637879285692660200973908309 (pp50)
 r2=52645976406605495742233878007732625356159233240897545278160906703716316402849 (pp77)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 27.02 hours.
Scaled time: 18.02 units (timescale=0.667).
Factorization parameters were as follows:
name: 18889_150
n: 645209236947010492147224285543187145714532531053986933972672816337481145452624873946152946638065994199823548790633407632372341
m: 1000000000000000000000000000000
c5: 17
c0: 1
skew: 0.57
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 1900001)
Primes: RFBsize:176302, AFBsize:176118, largePrimes:5313564 encountered
Relations: rels:5181418, finalFF:453835
Max relations in full relation-set: 28
Initial matrix: 352485 x 453835 with sparse part having weight 36996961.
Pruned matrix : 294072 x 295898 with weight 21718071.
Total sieving time: 23.62 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 3.06 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 27.02 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10151+19

c111

name 名前Sinkiti Sibata
date 日付May 16, 2008 20:43:12 UTC 2008 年 5 月 17 日 (土) 5 時 43 分 12 秒 (日本時間)
composite number 合成数
404395868642816960618253208929134675199315393867524038135573530299426396894733529649892305557335362882759449093<111>
prime factors 素因数
16052814829035632996593744878571920614918011<44>
25191586207757365324351562684284330771481754244914451059244679310463<68>
factorization results 素因数分解の結果
Number: 18889_151
N=404395868642816960618253208929134675199315393867524038135573530299426396894733529649892305557335362882759449093
  ( 111 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=16052814829035632996593744878571920614918011 (pp44)
 r2=25191586207757365324351562684284330771481754244914451059244679310463 (pp68)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 34.49 hours.
Scaled time: 23.32 units (timescale=0.676).
Factorization parameters were as follows:
name: 18889_151
n: 404395868642816960618253208929134675199315393867524038135573530299426396894733529649892305557335362882759449093
m: 1000000000000000000000000000000
c5: 170
c0: 1
skew: 0.36
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2100001)
Primes: RFBsize:176302, AFBsize:176638, largePrimes:5642853 encountered
Relations: rels:5669604, finalFF:579959
Max relations in full relation-set: 28
Initial matrix: 353007 x 579959 with sparse part having weight 52116995.
Pruned matrix : 262184 x 264013 with weight 25401214.
Total sieving time: 31.27 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 2.85 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 34.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10154+19

c152

name 名前Robert Backstrom
date 日付May 12, 2008 09:00:38 UTC 2008 年 5 月 12 日 (月) 18 時 0 分 38 秒 (日本時間)
composite number 合成数
20464668351992295654267485253400746358492837366076802696521006380161309738774527506921873119056217647766943541591428915372577344408330323823281569760443<152>
prime factors 素因数
140600607147819071282411043598609766109102241498072762816470647254054550719<75>
145551777955531635886729066649473155038928609925267339235336817734887886875397<78>
factorization results 素因数分解の結果
Number: n
N=20464668351992295654267485253400746358492837366076802696521006380161309738774527506921873119056217647766943541591428915372577344408330323823281569760443
  ( 152 digits)
SNFS difficulty: 156 digits.
Divisors found:

Mon May 12 18:53:45 2008  prp75 factor: 140600607147819071282411043598609766109102241498072762816470647254054550719
Mon May 12 18:53:45 2008  prp78 factor: 145551777955531635886729066649473155038928609925267339235336817734887886875397
Mon May 12 18:53:45 2008  elapsed time 00:43:24 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 19.12 hours.
Scaled time: 27.69 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_8_153_9
n: 20464668351992295654267485253400746358492837366076802696521006380161309738774527506921873119056217647766943541591428915372577344408330323823281569760443
skew: 0.90
deg: 5
c5: 17
c0: 10
m: 10000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 900000)
Primes: RFBsize:203362, AFBsize:203567, largePrimes:6640756 encountered
Relations: rels:6105592, finalFF:466574
Max relations in full relation-set: 28
Initial matrix: 406994 x 466574 with sparse part having weight 28924041.
Pruned matrix : 355349 x 357447 with weight 18031557.
Total sieving time: 18.96 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 19.12 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17×10155+19

c131

name 名前Jo Yeong Uk
date 日付May 14, 2008 01:43:49 UTC 2008 年 5 月 14 日 (水) 10 時 43 分 49 秒 (日本時間)
composite number 合成数
89803174326445185097380030661135204861505848627374060515671755601306327312337475431786542613761787651305075448165637035599724282209<131>
prime factors 素因数
7432798877836175924862195765978994856188367<43>
12082013223071163764032145160054775612064289873932471918156403070758301397897940923198927<89>
factorization results 素因数分解の結果
Number: 18889_155
N=89803174326445185097380030661135204861505848627374060515671755601306327312337475431786542613761787651305075448165637035599724282209
  ( 131 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=7432798877836175924862195765978994856188367 (pp43)
 r2=12082013223071163764032145160054775612064289873932471918156403070758301397897940923198927 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 15.92 hours.
Scaled time: 37.90 units (timescale=2.380).
Factorization parameters were as follows:
n: 89803174326445185097380030661135204861505848627374060515671755601306327312337475431786542613761787651305075448165637035599724282209
m: 10000000000000000000000000000000
c5: 17
c0: 1
skew: 0.57
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2600001)
Primes: RFBsize:216816, AFBsize:216621, largePrimes:5652876 encountered
Relations: rels:5672516, finalFF:606082
Max relations in full relation-set: 28
Initial matrix: 433502 x 606082 with sparse part having weight 47143850.
Pruned matrix : 323248 x 325479 with weight 29229758.
Total sieving time: 15.24 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 15.92 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.38 BogoMIPS (lpj=2672192)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672358)
execution environment 実行環境
Core 2 Quad Q6700

17×10156+19

c113

name 名前Robert Backstrom
date 日付May 14, 2008 23:40:03 UTC 2008 年 5 月 15 日 (木) 8 時 40 分 3 秒 (日本時間)
composite number 合成数
43188284658736900485468870637293355701575449624772259430741937853997084709199848904019254042856968584304546850879<113>
prime factors 素因数
1683915841330240179281702206131814655635817<43>
25647531544462176640389814319070297296091174784612085044944710867824487<71>
factorization results 素因数分解の結果
Number: n
N=43188284658736900485468870637293355701575449624772259430741937853997084709199848904019254042856968584304546850879
  ( 113 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1683915841330240179281702206131814655635817 (pp43)
 r2=25647531544462176640389814319070297296091174784612085044944710867824487 (pp71)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 18.48 hours.
Scaled time: 33.68 units (timescale=1.823).
Factorization parameters were as follows:
name: KA_1_8_155_9
n: 43188284658736900485468870637293355701575449624772259430741937853997084709199848904019254042856968584304546850879
skew: 0.36
deg: 5
c5: 170
c0: 1
m: 10000000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1300001)
Primes: RFBsize:148933, AFBsize:149105, largePrimes:6785053 encountered
Relations: rels:6136287, finalFF:337877
Max relations in full relation-set: 48
Initial matrix: 298105 x 337877 with sparse part having weight 40377415.
Pruned matrix : 280312 x 281866 with weight 28247297.
Total sieving time: 17.45 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.83 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 18.48 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

17×10157+19

c151

name 名前Robert Backstrom
date 日付May 13, 2008 13:47:26 UTC 2008 年 5 月 13 日 (火) 22 時 47 分 26 秒 (日本時間)
composite number 合成数
1371175817865845012948456863812954583599996783382846088829463742090604184668894472478134040711645734175645025100300906146378680706732730562830651486847<151>
prime factors 素因数
10389319827483729125541276705287706636888901647006845589895676437721<68>
131979363484273526432917168541620540675529931962287016158799908174443540210525526807<84>
factorization results 素因数分解の結果
Number: n
N=1371175817865845012948456863812954583599996783382846088829463742090604184668894472478134040711645734175645025100300906146378680706732730562830651486847
  ( 151 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue May 13 23:42:18 2008  prp68 factor: 10389319827483729125541276705287706636888901647006845589895676437721
Tue May 13 23:42:18 2008  prp84 factor: 131979363484273526432917168541620540675529931962287016158799908174443540210525526807
Tue May 13 23:42:18 2008  elapsed time 00:51:03 (Msieve 1.35)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 27.44 hours.
Scaled time: 39.71 units (timescale=1.447).
Factorization parameters were as follows:
name: KA_1_8_156_9
n: 1371175817865845012948456863812954583599996783382846088829463742090604184668894472478134040711645734175645025100300906146378680706732730562830651486847
skew: 0.23
deg: 5
c5: 1700
c0: 1
m: 10000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1300001)
Primes: RFBsize:203362, AFBsize:203472, largePrimes:7091762 encountered
Relations: rels:6614208, finalFF:513664
Max relations in full relation-set: 28
Initial matrix: 406901 x 513664 with sparse part having weight 38635564.
Pruned matrix : 
Total sieving time: 27.25 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 27.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

17×10158+19

c102

name 名前Jo Yeong Uk
date 日付May 12, 2008 22:59:44 UTC 2008 年 5 月 13 日 (火) 7 時 59 分 44 秒 (日本時間)
composite number 合成数
326272354753809409783926743501951526769302667744497378253582147117816704691884198427382049596590674497<102>
prime factors 素因数
16713340926956566201930088601647275580275612424791<50>
19521671710027297651795646344507570669558565769398567<53>
factorization results 素因数分解の結果
Number: 18889_158
N=326272354753809409783926743501951526769302667744497378253582147117816704691884198427382049596590674497
  ( 102 digits)
Divisors found:
 r1=16713340926956566201930088601647275580275612424791 (pp50)
 r2=19521671710027297651795646344507570669558565769398567 (pp53)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 4.34 hours.
Scaled time: 10.10 units (timescale=2.324).
Factorization parameters were as follows:
name: 18889_158
n: 326272354753809409783926743501951526769302667744497378253582147117816704691884198427382049596590674497
skew: 9707.57
# norm 1.66e+14
c5: 58140
c4: -1204082396
c3: -16047945750919
c2: 95250222814570675
c1: 627468897543127179213
c0: -2238096650248582827457545
# alpha -5.97
Y1: 22959935999
Y0: -22378083790384944344
# Murphy_E 2.69e-09
# M 198217674374385453969471597599128458274937908501156646603931004074576906134386477000765936111891797998
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [900000, 1500001)
Primes: RFBsize:135072, AFBsize:135135, largePrimes:4297434 encountered
Relations: rels:4209433, finalFF:333131
Max relations in full relation-set: 28
Initial matrix: 270296 x 333131 with sparse part having weight 25414943.
Pruned matrix : 224093 x 225508 with weight 14231777.
Polynomial selection time: 0.31 hours.
Total sieving time: 3.72 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,101,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,49,49,2.6,2.6,60000
total time: 4.34 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348)
Calibrating delay using timer specific routine.. 5344.38 BogoMIPS (lpj=2672192)
Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672358)
execution environment 実行環境
Core 2 Quad Q6700

17×10160+19

c116

name 名前Jo Yeong Uk
date 日付May 15, 2008 04:20:50 UTC 2008 年 5 月 15 日 (木) 13 時 20 分 50 秒 (日本時間)
composite number 合成数
21981799910472962006573451120284964892454411201578582142123383849630370984496422039098541921072986649975632919529721<116>
prime factors 素因数
3019027540589841111615402443598033601002863914943<49>
7281086248778730252929784206334560094320704875958402009234594411847<67>
factorization results 素因数分解の結果
Number: 18889_160
N=21981799910472962006573451120284964892454411201578582142123383849630370984496422039098541921072986649975632919529721
  ( 116 digits)
SNFS difficulty: 161 digits.
Divisors found:
 r1=3019027540589841111615402443598033601002863914943 (pp49)
 r2=7281086248778730252929784206334560094320704875958402009234594411847 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 24.37 hours.
Scaled time: 58.03 units (timescale=2.381).
Factorization parameters were as follows:
n: 21981799910472962006573451120284964892454411201578582142123383849630370984496422039098541921072986649975632919529721
m: 100000000000000000000000000000000
c5: 17
c0: 1
skew: 0.57
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3600001)
Primes: RFBsize:283146, AFBsize:282982, largePrimes:5612739 encountered
Relations: rels:5636302, finalFF:651682
Max relations in full relation-set: 28
Initial matrix: 566193 x 651682 with sparse part having weight 40463301.
Pruned matrix : 498218 x 501112 with weight 27564761.
Total sieving time: 23.12 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.14 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 24.37 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)
execution environment 実行環境
Core 2 Quad Q6700

17×10166+19

c120

name 名前Robert Backstrom
date 日付May 15, 2008 04:00:28 UTC 2008 年 5 月 15 日 (木) 13 時 0 分 28 秒 (日本時間)
composite number 合成数
409991563621779412265158279707286146175750002538153725100552024238643001881236370414077520831541216197984015772369312373<120>
prime factors 素因数
878173932625410668935107562634861<33>
466868291565041584191404564367635894529401621360028875543317445660814498485125130692393<87>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 409991563621779412265158279707286146175750002538153725100552024238643001881236370414077520831541216197984015772369312373 (120 digits)
Using B1=160000, B2=85861240, polynomial x^2, sigma=1450624037
Step 1 took 1418ms
Step 2 took 804ms
********** Factor found in step 2: 878173932625410668935107562634861
Found probable prime factor of 33 digits: 878173932625410668935107562634861
Probable prime cofactor 466868291565041584191404564367635894529401621360028875543317445660814498485125130692393 has 87 digits

17×10167+19

c114

name 名前Jo Yeong Uk
date 日付May 16, 2008 06:44:53 UTC 2008 年 5 月 16 日 (金) 15 時 44 分 53 秒 (日本時間)
composite number 合成数
468844941581488303298926571089388851951033336400850491856810847637557401770554274615923511541962492525097502329133<114>
prime factors 素因数
67491671682398385317058511254298691184136924241<47>
6946708088484961654717938698979654691930307591413856517996301354013<67>
factorization results 素因数分解の結果
Number: 18889_167
N=468844941581488303298926571089388851951033336400850491856810847637557401770554274615923511541962492525097502329133
  ( 114 digits)
Divisors found:
 r1=67491671682398385317058511254298691184136924241 (pp47)
 r2=6946708088484961654717938698979654691930307591413856517996301354013 (pp67)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 17.62 hours.
Scaled time: 41.71 units (timescale=2.367).
Factorization parameters were as follows:
name: 18889_167
n: 468844941581488303298926571089388851951033336400850491856810847637557401770554274615923511541962492525097502329133
skew: 46684.93
# norm 8.48e+15
c5: 25920
c4: -676451736
c3: 130428591787688
c2: 3765533627980100596
c1: 36339129263182235163297
c0: -2557412519550371046968785290
# alpha -7.07
Y1: 636525890843
Y0: -7103609029808023059391
# Murphy_E 6.52e-10
# M 180139406609668129580026728876662211747894112506436949390916334295806210579842840786329647593722407771469041647991
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 70000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2730001)
Primes: RFBsize:250150, AFBsize:251199, largePrimes:7420613 encountered
Relations: rels:7298007, finalFF:609288
Max relations in full relation-set: 28
Initial matrix: 501430 x 609288 with sparse part having weight 49346372.
Pruned matrix : 410627 x 413198 with weight 29226622.
Polynomial selection time: 1.18 hours.
Total sieving time: 15.33 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.87 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.4,2.4,70000
total time: 17.62 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: 8047200k/8912896k available (2439k kernel code, 339088k reserved, 1234k data, 192k init)
Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673806)
Calibrating delay using timer specific routine.. 5344.78 BogoMIPS (lpj=2672394)
Calibrating delay using timer specific routine.. 5344.44 BogoMIPS (lpj=2672223)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672388)
execution environment 実行環境
Core 2 Quad Q6700

17×10168+19

c130

name 名前Serge Batalov
date 日付November 23, 2008 22:58:06 UTC 2008 年 11 月 24 日 (月) 7 時 58 分 6 秒 (日本時間)
composite number 合成数
2481741991221985004634806367435162511500001851243969261698889345804447313605921208752074713248912912003924708834291994713684581021<130>
prime factors 素因数
62067659878874716493548893843727505309<38>
39984462054234271226059897447734856516947654297265965031547710425930629429688197202520858369<92>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3404844789
Step 1 took 14129ms
Step 2 took 9713ms
********** Factor found in step 2: 62067659878874716493548893843727505309
Found probable prime factor of 38 digits: 62067659878874716493548893843727505309
Probable prime cofactor 39984462054234271226059897447734856516947654297265965031547710425930629429688197202520858369 has 92 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6377 / 825Jo Yeong UkJuly 24, 2008 07:58:33 UTC 2008 年 7 月 24 日 (木) 16 時 58 分 33 秒 (日本時間)

17×10169+19

c144

name 名前Serge Batalov
date 日付October 17, 2008 18:41:03 UTC 2008 年 10 月 18 日 (土) 3 時 41 分 3 秒 (日本時間)
composite number 合成数
134168321346815434942285506994673592803638268962020611376419262011341845173814146151104444227872039130130466930338638784045925621136206412137697<144>
prime factors 素因数
2904146275484962375815593435366057290811<40>
67503164136279247648768712027109846191861011687973<50>
684395851991037539017805425656538836579993071788064599<54>
factorization results 素因数分解の結果
SNFS difficulty: 171 digits.
Divisors found:
 r1=2904146275484962375815593435366057290811
 r2=67503164136279247648768712027109846191861011687973
 r3=684395851991037539017805425656538836579993071788064599
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
n: 134168321346815434942285506994673592803638268962020611376419262011341845173814146151104444227872039130130466930338638784045925621136206412137697
m: 10000000000000000000000000000000000
c5: 17
c0: 10
skew: 0.9
type: snfs
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved rational special-q in [3000000, 5200001)
Primes: rational ideals reading, algebraic ideals reading,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 959749 x 959997
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,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,54,54,2.6,2.6,100000
total time: 40.00 hours.
software ソフトウェア
Msieve-1.38
execution environment 実行環境
Opteron-2.2GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)

17×10170+19

c141

name 名前Serge Batalov
date 日付November 24, 2008 01:53:12 UTC 2008 年 11 月 24 日 (月) 10 時 53 分 12 秒 (日本時間)
composite number 合成数
171421607866291812313200872041018111777747035607631972446120880194789721351811495135966923174509935345640583237480954303429007150950878733381<141>
prime factors 素因数
4807025903651954567691869159809598947<37>
35660637429904587067911820002302375560227157892722747763245437688750495106878532185673868322404000400823<104>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3211483261
Step 1 took 14620ms
Step 2 took 10677ms
********** Factor found in step 2: 4807025903651954567691869159809598947
Found probable prime factor of 37 digits: 4807025903651954567691869159809598947
Probable prime cofactor 35660637429904587067911820002302375560227157892722747763245437688750495106878532185673868322404000400823 has 104 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)

17×10172+19

c132

name 名前Sinkiti Sibata
date 日付May 20, 2010 04:50:21 UTC 2010 年 5 月 20 日 (木) 13 時 50 分 21 秒 (日本時間)
composite number 合成数
378086053259626660228604527249839823962576740803860143985998901243193599227348490163902403670295296333440490821747671419312795416277<132>
prime factors 素因数
28198772682730763179964335972104682666986317<44>
13407890389895255782844265904350316871715693706791070361946333164750439404987154252563881<89>
factorization results 素因数分解の結果
Number: 18889_172
N=378086053259626660228604527249839823962576740803860143985998901243193599227348490163902403670295296333440490821747671419312795416277
  ( 132 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=28198772682730763179964335972104682666986317 (pp44)
 r2=13407890389895255782844265904350316871715693706791070361946333164750439404987154252563881 (pp89)
Version: Msieve-1.40
Total time: 75.58 hours.
Scaled time: 168.85 units (timescale=2.234).
Factorization parameters were as follows:
name: 18889_172
n: 378086053259626660228604527249839823962576740803860143985998901243193599227348490163902403670295296333440490821747671419312795416277
m: 10000000000000000000000000000000000
deg: 5
c5: 1700
c0: 1
skew: 0.23
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 944795 x 945043
Total sieving time: 73.15 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 75.58 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 940 2.93GHz,Windows 7 64bit,and Cygwin)
 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxOctober 3, 2009 10:59:11 UTC 2009 年 10 月 3 日 (土) 19 時 59 分 11 秒 (日本時間)
403e62063Wataru SakaiFebruary 24, 2010 04:38:53 UTC 2010 年 2 月 24 日 (水) 13 時 38 分 53 秒 (日本時間)

17×10175+19

c149

name 名前Warut Roonguthai
date 日付October 7, 2011 04:16:01 UTC 2011 年 10 月 7 日 (金) 13 時 16 分 1 秒 (日本時間)
composite number 合成数
29393266475020893264563356015230652447605144580209623125912215129803798108645698254514780703583065368534976865503742776834902789530755934352607655511<149>
prime factors 素因数
2287564939848348677181525097281935232755346862538152059229<58>
12849150624318225454983169816119634350749402321098929041720770220926407296469930333593909059<92>
factorization results 素因数分解の結果
N = 29393266475020893264563356015230652447605144580209623125912215129803798108645698254514780703583065368534976865503742776834902789530755934352607655511 (149 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=2287564939848348677181525097281935232755346862538152059229 (pp58)
r2=12849150624318225454983169816119634350749402321098929041720770220926407296469930333593909059 (pp92)
Version: Msieve v. 1.47
Total time: 29.57 hours.
Factorization parameters were as follows:
name: (17*10^175+1)/9
n: 29393266475020893264563356015230652447605144580209623125912215129803798108645698254514780703583065368534976865503742776834902789530755934352607655511
Y0: 100000000000000000000000000000000000
Y1: -1
c0: 1
c1: 0
c2: 0
c3: 0
c4: 0
c5: 17
skew: 0.57
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19664554
Relations: 2292680 relations
Pruned matrix : 1287904 x 1288129
Polynomial selection time: 0.00 hours.
Total sieving time: 25.69 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.53 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 29.57 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosJune 24, 2010 11:58:46 UTC 2010 年 6 月 24 日 (木) 20 時 58 分 46 秒 (日本時間)
403e62144110Ignacio SantosJune 24, 2010 11:58:46 UTC 2010 年 6 月 24 日 (木) 20 時 58 分 46 秒 (日本時間)
2034Wataru SakaiJune 28, 2010 02:00:13 UTC 2010 年 6 月 28 日 (月) 11 時 0 分 13 秒 (日本時間)
4511e6423232Ignacio SantosJune 24, 2010 11:58:46 UTC 2010 年 6 月 24 日 (木) 20 時 58 分 46 秒 (日本時間)
200Ignacio SantosJanuary 7, 2011 16:48:39 UTC 2011 年 1 月 8 日 (土) 1 時 48 分 39 秒 (日本時間)
4000Wataru SakaiSeptember 18, 2011 03:29:50 UTC 2011 年 9 月 18 日 (日) 12 時 29 分 50 秒 (日本時間)

17×10176+19

c152

name 名前Wataru Sakai
date 日付September 26, 2011 10:28:15 UTC 2011 年 9 月 26 日 (月) 19 時 28 分 15 秒 (日本時間)
composite number 合成数
21499877392443453066274224111576136287885578476655606266602279575083015665346651721629298629692865398559005793763837389733659884090092815900033653951827<152>
prime factors 素因数
68181036311913829222864062536130551017520299<44>
315335151171449764650343824165775166487259848468133210842854523606712803082614231562952909525982326434030073<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1240119315
Step 1 took 11563ms
Step 2 took 6054ms
********** Factor found in step 2: 68181036311913829222864062536130551017520299
Found probable prime factor of 44 digits: 68181036311913829222864062536130551017520299
Probable prime cofactor 315335151171449764650343824165775166487259848468133210842854523606712803082614231562952909525982326434030073 has 108 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 12, 2010 20:55:24 UTC 2010 年 10 月 13 日 (水) 5 時 55 分 24 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 12, 2010 20:55:24 UTC 2010 年 10 月 13 日 (水) 5 時 55 分 24 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 12, 2010 20:55:24 UTC 2010 年 10 月 13 日 (水) 5 時 55 分 24 秒 (日本時間)

17×10177+19

c148

name 名前Dmitry Domanov
date 日付May 13, 2013 06:04:05 UTC 2013 年 5 月 13 日 (月) 15 時 4 分 5 秒 (日本時間)
composite number 合成数
4920477621486656158081142696614369731756712977716347200441201005441810368137403007950667540593605248832697834503840259664163607173513767922612859219<148>
prime factors 素因数
22481529999754860082224808568758676294687942518354009<53>
218867560239018844971929959113379123233286508627651093680088190635935075487365718173216188471691<96>
factorization results 素因数分解の結果
N=4920477621486656158081142696614369731756712977716347200441201005441810368137403007950667540593605248832697834503840259664163607173513767922612859219
  ( 148 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=22481529999754860082224808568758676294687942518354009 (pp53)
 r2=218867560239018844971929959113379123233286508627651093680088190635935075487365718173216188471691 (pp96)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 76.63 hours.
Scaled time: 147.29 units (timescale=1.922).
Factorization parameters were as follows:
n: 4920477621486656158081142696614369731756712977716347200441201005441810368137403007950667540593605248832697834503840259664163607173513767922612859219
m: 100000000000000000000000000000000000
deg: 5
c5: 1700
c0: 1
skew: 0.23
# Murphy_E = 1.339e-10
type: snfs
lss: 1
rlim: 6500000
alim: 6500000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3250000, 7250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1382369 x 1382601
Total sieving time: 74.30 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.96 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,178.000,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,53,53,2.5,2.5,100000
total time: 76.63 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 12, 2010 22:01:45 UTC 2010 年 10 月 13 日 (水) 7 時 1 分 45 秒 (日本時間)
403e62144110Ignacio SantosOctober 12, 2010 22:01:45 UTC 2010 年 10 月 13 日 (水) 7 時 1 分 45 秒 (日本時間)
2034Wataru SakaiDecember 1, 2011 05:21:18 UTC 2011 年 12 月 1 日 (木) 14 時 21 分 18 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 12, 2010 22:01:45 UTC 2010 年 10 月 13 日 (水) 7 時 1 分 45 秒 (日本時間)

17×10178+19

c139

name 名前Dmitry Domanov
date 日付May 13, 2013 06:04:32 UTC 2013 年 5 月 13 日 (月) 15 時 4 分 32 秒 (日本時間)
composite number 合成数
1073274272299929470386739964986428312378430566471881580979506315078545448192506275829094405519731393681477356441850128044486014307796169347<139>
prime factors 素因数
72014409339636094720086892102083214767445086752450720039<56>
14903604461131208532937779991018960656826888693779685633461956797277867722455733573<83>
factorization results 素因数分解の結果
N=1073274272299929470386739964986428312378430566471881580979506315078545448192506275829094405519731393681477356441850128044486014307796169347
  ( 139 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=72014409339636094720086892102083214767445086752450720039 (pp56)
 r2=14903604461131208532937779991018960656826888693779685633461956797277867722455733573 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 83.68 hours.
Scaled time: 161.09 units (timescale=1.925).
Factorization parameters were as follows:
n: 1073274272299929470386739964986428312378430566471881580979506315078545448192506275829094405519731393681477356441850128044486014307796169347
m: 100000000000000000000000000000000000
deg: 5
c5: 17000
c0: 1
skew: 0.14
# Murphy_E = 1.118e-10
type: snfs
lss: 1
rlim: 6800000
alim: 6800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3400000, 7800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1376312 x 1376542
Total sieving time: 81.57 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.83 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6800000,6800000,28,28,53,53,2.5,2.5,100000
total time: 83.68 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 12, 2010 22:55:59 UTC 2010 年 10 月 13 日 (水) 7 時 55 分 59 秒 (日本時間)
403e62144110Ignacio SantosOctober 12, 2010 22:55:59 UTC 2010 年 10 月 13 日 (水) 7 時 55 分 59 秒 (日本時間)
2034Wataru SakaiMarch 22, 2012 05:30:30 UTC 2012 年 3 月 22 日 (木) 14 時 30 分 30 秒 (日本時間)
4511e632 / 3991Ignacio SantosOctober 12, 2010 22:55:59 UTC 2010 年 10 月 13 日 (水) 7 時 55 分 59 秒 (日本時間)

17×10180+19

c161

name 名前Dmitry Domanov
date 日付May 13, 2013 06:05:02 UTC 2013 年 5 月 13 日 (月) 15 時 5 分 2 秒 (日本時間)
composite number 合成数
17286393624102479063836308883289253413484528224713508542512811288855772930141620166514706149540571476216895738686875553876376863277238611907076767785367532584707<161>
prime factors 素因数
151697470590658823501920640983210298205869697881557467332199299<63>
113953077508775119110951706395076064124225984752728139265411216672447466696317445592474937465880193<99>
factorization results 素因数分解の結果
N=17286393624102479063836308883289253413484528224713508542512811288855772930141620166514706149540571476216895738686875553876376863277238611907076767785367532584707
  ( 161 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=151697470590658823501920640983210298205869697881557467332199299 (pp63)
 r2=113953077508775119110951706395076064124225984752728139265411216672447466696317445592474937465880193 (pp99)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 85.18 hours.
Scaled time: 163.98 units (timescale=1.925).
Factorization parameters were as follows:
n: 17286393624102479063836308883289253413484528224713508542512811288855772930141620166514706149540571476216895738686875553876376863277238611907076767785367532584707
m: 1000000000000000000000000000000000000
deg: 5
c5: 17
c0: 1
skew: 0.57
# Murphy_E = 1.246e-10
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, 8050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1265550 x 1265782
Total sieving time: 83.26 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 1.59 hours.
Time per square root: 0.14 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: 85.18 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 00:04:40 UTC 2010 年 10 月 13 日 (水) 9 時 4 分 40 秒 (日本時間)
403e62610110Ignacio SantosOctober 13, 2010 00:04:40 UTC 2010 年 10 月 13 日 (水) 9 時 4 分 40 秒 (日本時間)
2500Warut RoonguthaiFebruary 13, 2013 06:16:53 UTC 2013 年 2 月 13 日 (水) 15 時 16 分 53 秒 (日本時間)
4511e632 / 3888Ignacio SantosOctober 13, 2010 00:04:40 UTC 2010 年 10 月 13 日 (水) 9 時 4 分 40 秒 (日本時間)

17×10181+19

c130

name 名前suberi
date 日付June 16, 2008 07:38:51 UTC 2008 年 6 月 16 日 (月) 16 時 38 分 51 秒 (日本時間)
composite number 合成数
6444424796777001754017465852722796369848356497711540068687174604952495571694381538339978226232893376521128853721788716864446896027<130>
prime factors 素因数
758822763085731218605641418771<30>
composite cofactor 合成数の残り
8492661409590470524891423727868139850632579649757129010224121294326903739481230882899276916193096537<100>
factorization results 素因数分解の結果
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2130668955
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 56063ms
Using 31 small primes for NTT
Estimated memory usage: 44M
Initializing tables of differences for F took 47ms
Computing roots of F took 1375ms
Building F from its roots took 2500ms
Computing 1/F took 1453ms
Initializing table of differences for G took 47ms
Computing roots of G took 1219ms
Building G from its roots took 2703ms
Computing roots of G took 1218ms
Building G from its roots took 2750ms
Computing G * H took 656ms
Reducing  G * H mod F took 750ms
Computing polyeval(F,G) took 6125ms
Computing product of all F(g_i) took 31ms
Step 2 took 21734ms
********** Factor found in step 2: 758822763085731218605641418771
Found probable prime factor of 30 digits: 758822763085731218605641418771
Composite cofactor 8492661409590470524891423727868139850632579649757129010224121294326903739481230882899276916193096537 has 100 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Pentium 4 2.4GHz, Windows 2000 and Cygwin

c100

name 名前Sinkiti Sibata
date 日付June 19, 2008 20:56:12 UTC 2008 年 6 月 20 日 (金) 5 時 56 分 12 秒 (日本時間)
composite number 合成数
8492661409590470524891423727868139850632579649757129010224121294326903739481230882899276916193096537<100>
prime factors 素因数
242103400334044748484073044835249209568097447<45>
35078653987811118622758840608304843178836958530915817471<56>
factorization results 素因数分解の結果
Thu Jun 19 06:38:30 2008  Msieve v. 1.36
Thu Jun 19 06:38:30 2008  random seeds: 57997b87 8224c00e
Thu Jun 19 06:38:30 2008  factoring 8492661409590470524891423727868139850632579649757129010224121294326903739481230882899276916193096537 (100 digits)
Thu Jun 19 06:38:31 2008  no P-1/P+1/ECM available, skipping
Thu Jun 19 06:38:31 2008  commencing quadratic sieve (100-digit input)
Thu Jun 19 06:38:32 2008  using multiplier of 17
Thu Jun 19 06:38:32 2008  using 64kb Pentium 4 sieve core
Thu Jun 19 06:38:32 2008  sieve interval: 18 blocks of size 65536
Thu Jun 19 06:38:32 2008  processing polynomials in batches of 6
Thu Jun 19 06:38:32 2008  using a sieve bound of 2751379 (100000 primes)
Thu Jun 19 06:38:32 2008  using large prime bound of 412706850 (28 bits)
Thu Jun 19 06:38:32 2008  using double large prime bound of 3222218636339400 (43-52 bits)
Thu Jun 19 06:38:32 2008  using trial factoring cutoff of 52 bits
Thu Jun 19 06:38:32 2008  polynomial 'A' values have 13 factors
Fri Jun 20 04:01:17 2008  100109 relations (23520 full + 76589 combined from 1507622 partial), need 100096
Fri Jun 20 04:01:23 2008  begin with 1531142 relations
Fri Jun 20 04:01:25 2008  reduce to 264987 relations in 10 passes
Fri Jun 20 04:01:25 2008  attempting to read 264987 relations
Fri Jun 20 04:01:34 2008  recovered 264987 relations
Fri Jun 20 04:01:34 2008  recovered 256717 polynomials
Fri Jun 20 04:01:35 2008  attempting to build 100109 cycles
Fri Jun 20 04:01:35 2008  found 100109 cycles in 6 passes
Fri Jun 20 04:01:35 2008  distribution of cycle lengths:
Fri Jun 20 04:01:35 2008     length 1 : 23520
Fri Jun 20 04:01:35 2008     length 2 : 17176
Fri Jun 20 04:01:35 2008     length 3 : 16902
Fri Jun 20 04:01:35 2008     length 4 : 13567
Fri Jun 20 04:01:35 2008     length 5 : 10292
Fri Jun 20 04:01:35 2008     length 6 : 7180
Fri Jun 20 04:01:35 2008     length 7 : 4698
Fri Jun 20 04:01:35 2008     length 9+: 6774
Fri Jun 20 04:01:35 2008  largest cycle: 20 relations
Fri Jun 20 04:01:36 2008  matrix is 100000 x 100109 (28.3 MB) with weight 7027440 (70.20/col)
Fri Jun 20 04:01:36 2008  sparse part has weight 7027440 (70.20/col)
Fri Jun 20 04:01:38 2008  filtering completed in 3 passes
Fri Jun 20 04:01:38 2008  matrix is 96171 x 96234 (27.4 MB) with weight 6799375 (70.65/col)
Fri Jun 20 04:01:38 2008  sparse part has weight 6799375 (70.65/col)
Fri Jun 20 04:01:39 2008  saving the first 48 matrix rows for later
Fri Jun 20 04:01:39 2008  matrix is 96123 x 96234 (17.6 MB) with weight 5431041 (56.44/col)
Fri Jun 20 04:01:39 2008  sparse part has weight 4041126 (41.99/col)
Fri Jun 20 04:01:39 2008  matrix includes 64 packed rows
Fri Jun 20 04:01:39 2008  using block size 21845 for processor cache size 512 kB
Fri Jun 20 04:01:40 2008  commencing Lanczos iteration
Fri Jun 20 04:01:40 2008  memory use: 16.6 MB
Fri Jun 20 04:03:29 2008  lanczos halted after 1521 iterations (dim = 96123)
Fri Jun 20 04:03:29 2008  recovered 18 nontrivial dependencies
Fri Jun 20 04:03:33 2008  prp45 factor: 242103400334044748484073044835249209568097447
Fri Jun 20 04:03:33 2008  prp56 factor: 35078653987811118622758840608304843178836958530915817471
Fri Jun 20 04:03:33 2008  elapsed time 21:25:03
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

17×10182+19

c140

name 名前Dmitry Domanov
date 日付June 3, 2013 05:38:47 UTC 2013 年 6 月 3 日 (月) 14 時 38 分 47 秒 (日本時間)
composite number 合成数
13208927057606133581859594468959459656477990876281851591165679179160433180190530306189981423544980783646024600344202049355800046243637020589<140>
prime factors 素因数
22565235604128037877625327726444040282248020112752989<53>
585366237221547980749912109297547164040254928422579620101481420209000534294309356448401<87>
factorization results 素因数分解の結果
N=13208927057606133581859594468959459656477990876281851591165679179160433180190530306189981423544980783646024600344202049355800046243637020589
  ( 140 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=22565235604128037877625327726444040282248020112752989 (pp53)
 r2=585366237221547980749912109297547164040254928422579620101481420209000534294309356448401 (pp87)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 118.52 hours.
Scaled time: 227.80 units (timescale=1.922).
Factorization parameters were as follows:
n: 13208927057606133581859594468959459656477990876281851591165679179160433180190530306189981423544980783646024600344202049355800046243637020589
m: 1000000000000000000000000000000000000
deg: 5
c5: 1700
c0: 1
skew: 0.23
# Murphy_E = 8.416e-11
type: snfs
lss: 1
rlim: 7900000
alim: 7900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 7900000/7900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3950000, 9950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1470432 x 1470662
Total sieving time: 115.94 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 2.18 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,183.000,5,0,0,0,0,0,0,0,0,7900000,7900000,28,28,53,53,2.5,2.5,100000
total time: 118.52 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 05:47:28 UTC 2010 年 10 月 13 日 (水) 14 時 47 分 28 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 05:47:28 UTC 2010 年 10 月 13 日 (水) 14 時 47 分 28 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:38:53 UTC 2013 年 4 月 11 日 (木) 0 時 38 分 53 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 05:47:28 UTC 2010 年 10 月 13 日 (水) 14 時 47 分 28 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:20:48 UTC 2013 年 5 月 5 日 (日) 20 時 20 分 48 秒 (日本時間)

17×10186+19

c170

name 名前Ignacio Santos
date 日付October 13, 2010 05:46:40 UTC 2010 年 10 月 13 日 (水) 14 時 46 分 40 秒 (日本時間)
composite number 合成数
28054887269866090723319678111632521327308513844999316965977246304802368110922805020220679320769127608282125107256159154635117545246310972467332709607700157366089691902309<170>
prime factors 素因数
17843684464119244352679970585661<32>
composite cofactor 合成数の残り
1572258651304887127161168974579480551592710531475908383831874695917333776576290711980987819744890707484774869321073799923711900036725789769<139>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2103242167
Step 1 took 7769ms
Step 2 took 5772ms
********** Factor found in step 2: 17843684464119244352679970585661
Found probable prime factor of 32 digits: 17843684464119244352679970585661
Composite cofactor 1572258651304887127161168974579480551592710531475908383831874695917333776576290711980987819744890707484774869321073799923711900036725789769 has 139 digits
software ソフトウェア
GMP-ECM 6.3

c139

name 名前Jo Yeong Uk
date 日付October 30, 2016 15:11:32 UTC 2016 年 10 月 31 日 (月) 0 時 11 分 32 秒 (日本時間)
composite number 合成数
1572258651304887127161168974579480551592710531475908383831874695917333776576290711980987819744890707484774869321073799923711900036725789769<139>
prime factors 素因数
358610552729805566257011087607215547839210760222898377472777<60>
4384306706360374160661688714839358963390028660058737150290305337240839725375297<79>
factorization results 素因数分解の結果
Number: 18889_186
N=1572258651304887127161168974579480551592710531475908383831874695917333776576290711980987819744890707484774869321073799923711900036725789769
  ( 139 digits)
SNFS difficulty: 187 digits.
Divisors found:
 r1=358610552729805566257011087607215547839210760222898377472777
 r2=4384306706360374160661688714839358963390028660058737150290305337240839725375297
Version: 
Total time: 70.76 hours.
Scaled time: 359.23 units (timescale=5.077).
Factorization parameters were as follows:
n: 1572258651304887127161168974579480551592710531475908383831874695917333776576290711980987819744890707484774869321073799923711900036725789769
m: 10000000000000000000000000000000000000
deg: 5
c5: 170
c0: 1
skew: 0.36
# Murphy_E = 6.243e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 7100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20056553
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1668296 x 1668543
Total sieving time: 64.53 hours.
Total relation processing time: 2.44 hours.
Matrix solve time: 3.65 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,187,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 70.76 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49368512k/51380224k available (5398k kernel code, 1086464k absent, 925248k reserved, 7010k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.34 BogoMIPS (lpj=3400174)
Total of 12 processors activated (81604.17 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 20:46:39 UTC 2010 年 10 月 14 日 (木) 5 時 46 分 39 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 20:46:39 UTC 2010 年 10 月 14 日 (木) 5 時 46 分 39 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:01 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 1 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 20:46:39 UTC 2010 年 10 月 14 日 (木) 5 時 46 分 39 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:20:59 UTC 2013 年 5 月 5 日 (日) 20 時 20 分 59 秒 (日本時間)

17×10187+19

c161

name 名前Dmitry Domanov
date 日付March 26, 2013 13:35:31 UTC 2013 年 3 月 26 日 (火) 22 時 35 分 31 秒 (日本時間)
composite number 合成数
36990927396815859059393823058949363811291578143108266697957144737096179820373494153608334913215733860110912776888797033938514396925023349847952530490572380888537<161>
prime factors 素因数
401251035354215913304376507788636619<36>
92188989279893202082354946018460873053454431002569165645589484601320584026838530371839708831527792712289968067038874734127723<125>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1041092898
Step 1 took 19492ms
Step 2 took 7912ms
********** Factor found in step 2: 401251035354215913304376507788636619
Found probable prime factor of 36 digits: 401251035354215913304376507788636619

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 05:48:26 UTC 2010 年 10 月 13 日 (水) 14 時 48 分 26 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 13, 2010 05:48:26 UTC 2010 年 10 月 13 日 (水) 14 時 48 分 26 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 13, 2010 05:48:26 UTC 2010 年 10 月 13 日 (水) 14 時 48 分 26 秒 (日本時間)

17×10189+19

c137

name 名前Serge Batalov
date 日付August 5, 2008 08:10:31 UTC 2008 年 8 月 5 日 (火) 17 時 10 分 31 秒 (日本時間)
composite number 合成数
16670502574063239235813080656783024289879861723578649843228603394474850908301910063783293929223725529914283080185029960825696704585407713<137>
prime factors 素因数
1756706333511604963524042522871<31>
668814360582016023721300568011912207<36>
14188743452434643875801927553951755349395681019380535143529908397628329<71>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1009539771
Step 1 took 4788ms
********** Factor found in step 1: 1756706333511604963524042522871
Found probable prime factor of 31 digits: 1756706333511604963524042522871
Composite cofactor 9489635379602342831410035471394561395136715302045476558891728967428785529527299075313353540114458964112103 has 106 digits
#
# then, gnfs-106
#
Number: 18889_189
N=9489635379602342831410035471394561395136715302045476558891728967428785529527299075313353540114458964112103
  ( 106 digits)
Divisors found:
 r1=668814360582016023721300568011912207
 r2=14188743452434643875801927553951755349395681019380535143529908397628329
Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.313).
Factorization parameters were as follows:
name: 18889_189
n: 9489635379602342831410035471394561395136715302045476558891728967428785529527299075313353540114458964112103
skew: 12784.98
# norm 1.41e+14
c5: 10080
c4: 112833194
c3: -9956005404472
c2: -26808874062032923
c1: 118912898255454075018
c0: 565785001000120043648088
# alpha -5.12
Y1: 73259418331
Y0: -248174703531407004005
# Murphy_E 1.78e-09
# M 350383252433479574261889158994410551398039749210026199440697674632622799465405740960870780415123130976808
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: rational ideals filtering, algebraic ideals filtering,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 267008 x 267244
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,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000

total time: 8.00 hours.
software ソフトウェア
GMP-ECM 6.2.1; Msieve-1.36/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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)

17×10190+19

c163

name 名前suberi
date 日付June 16, 2008 07:40:36 UTC 2008 年 6 月 16 日 (月) 16 時 40 分 36 秒 (日本時間)
composite number 合成数
3161961834797993238183091317517951733705272413400851923248659839517668521312116088338941917590495648579600950530089461617580815869139128236205261867739948528075457<163>
prime factors 素因数
24592951456281913764228758669239<32>
composite cofactor 合成数の残り
128571873140924523664948060149189103090155858942672937006248438418113765818485839629694932311203935787591124351688800743261858830663<132>
factorization results 素因数分解の結果
Using MODMULN
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1152808808
dF=16384, k=2, d=158340, d2=11, i0=8
Expected number of curves to find a factor of n digits:
20  25      30      35      40      45      50      55      60      65
3       11      54      322     2350    20265   199745  2246256 2.8e+007        4e+008
Step 1 took 76953ms
Using 38 small primes for NTT
Estimated memory usage: 52M
Initializing tables of differences for F took 62ms
Computing roots of F took 1735ms
Building F from its roots took 3407ms
Computing 1/F took 2000ms
Initializing table of differences for G took 47ms
Computing roots of G took 1515ms
Building G from its roots took 3813ms
Computing roots of G took 1437ms
Building G from its roots took 3797ms
Computing G * H took 906ms
Reducing  G * H mod F took 1063ms
Computing polyeval(F,G) took 8532ms
Computing product of all F(g_i) took 46ms
Step 2 took 29484ms
********** Factor found in step 2: 24592951456281913764228758669239
Found probable prime factor of 32 digits: 24592951456281913764228758669239
Composite cofactor 128571873140924523664948060149189103090155858942672937006248438418113765818485839629694932311203935787591124351688800743261858830663 has 132 digits
software ソフトウェア
GMP-ECM 6.2.1
execution environment 実行環境
Pentium 4 2.4GHz, Windows 2000 and Cygwin

c132

name 名前Wataru Sakai
date 日付April 17, 2009 13:57:00 UTC 2009 年 4 月 17 日 (金) 22 時 57 分 0 秒 (日本時間)
composite number 合成数
128571873140924523664948060149189103090155858942672937006248438418113765818485839629694932311203935787591124351688800743261858830663<132>
prime factors 素因数
7213700843439887344632470841269291957<37>
17823288757233023573682324129309601544137069773637839144377564166930756298795605248649159083659<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=87697117
Step 1 took 38211ms
Step 2 took 13867ms
********** Factor found in step 2: 7213700843439887344632470841269291957
Found probable prime factor of 37 digits: 7213700843439887344632470841269291957
Probable prime cofactor 17823288757233023573682324129309601544137069773637839144377564166930756298795605248649159083659 has 95 digits
software ソフトウェア
GMP-ECM 6.2.1 [powered by GMP 4.2.4]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)

17×10191+19

c179

name 名前Dmitry Domanov
date 日付May 7, 2013 13:06:52 UTC 2013 年 5 月 7 日 (火) 22 時 6 分 52 秒 (日本時間)
composite number 合成数
49085247167186870804081419507141151171976392978696318961004736407116113647522971801475539643045102602420873552615340785807798435861711644910474602438269222268406475238025553956067<179>
prime factors 素因数
6211305771103972675890907488420449093598611<43>
7902564931763559765946083135651247960259094786230003392039155478714927041194749332642316368517113005666468881915489444696977027160982897<136>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1509936673
Step 1 took 83880ms
Step 2 took 29212ms
********** Factor found in step 2: 6211305771103972675890907488420449093598611
Found probable prime factor of 43 digits: 6211305771103972675890907488420449093598611

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 05:49:06 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 6 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 05:49:06 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 6 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:11 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 11 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 05:49:06 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 6 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:21:26 UTC 2013 年 5 月 5 日 (日) 20 時 21 分 26 秒 (日本時間)

17×10192+19

c191

name 名前Robert Backstrom
date 日付August 25, 2008 10:06:03 UTC 2008 年 8 月 25 日 (月) 19 時 6 分 3 秒 (日本時間)
composite number 合成数
82125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343<191>
prime factors 素因数
1948662034201098323710903730958276574627075333548724371561250262056978094886490485343891106957<94>
42144611237527240110223119654035423284203139603203167827807897848137401763143004307433958811849899<98>
factorization results 素因数分解の結果
Number: n
N=82125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343
  ( 191 digits)
SNFS difficulty: 193 digits.
Divisors found:

Mon Aug 25 19:56:31 2008  prp94 factor: 1948662034201098323710903730958276574627075333548724371561250262056978094886490485343891106957
Mon Aug 25 19:56:31 2008  prp98 factor: 42144611237527240110223119654035423284203139603203167827807897848137401763143004307433958811849899
Mon Aug 25 19:56:31 2008  elapsed time 07:59:02 (Msieve 1.36)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 177.74 hours.
Scaled time: 364.55 units (timescale=2.051).
Factorization parameters were as follows:
name: KA_1_8_191_9
n: 82125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647342995169082125603864734299516908212560386473429951690821256038647343
type: snfs
skew: 0.23
deg: 5
c5: 1700
c0: 1
m: 100000000000000000000000000000000000000
rlim: 9500000
alim: 9500000
lpbr: 28
lpba: 28
mfbr: 50
mfba: 50
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 9500000/9500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 50/50
Sieved  special-q in [100000, 13700001)
Primes: RFBsize:633578, AFBsize:634678, largePrimes:11237680 encountered
Relations: rels:11302726, finalFF:1311085
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 177.34 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,193,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,50,50,2.5,2.5,100000
total time: 177.74 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)

17×10193+19

c149

name 名前Jo Yeong Uk
date 日付February 14, 2017 13:46:50 UTC 2017 年 2 月 14 日 (火) 22 時 46 分 50 秒 (日本時間)
composite number 合成数
69940749688561145381019932135388388715543875603533678301803871969509414046801742249561262794374624134116748872717311271399294893990627625252677211311<149>
prime factors 素因数
1069473181130128938338389338052085463811162687<46>
8206248302261205730784397605798480793972179520893<49>
7969218440116613052512756988587066487139277622134522021<55>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 69940749688561145381019932135388388715543875603533678301803871969509414046801742249561262794374624134116748872717311271399294893990627625252677211311 (149 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=931895716
Step 1 took 24845ms
Step 2 took 9062ms
********** Factor found in step 2: 1069473181130128938338389338052085463811162687
Found probable prime factor of 46 digits: 1069473181130128938338389338052085463811162687
Composite cofactor 65397385294555650070605005932952945829269081175923243391167998130058600854744686665852898563371338084753 has 104 digits

Number: 18889_193
N=65397385294555650070605005932952945829269081175923243391167998130058600854744686665852898563371338084753
  ( 104 digits)
Divisors found:
 r1=8206248302261205730784397605798480793972179520893
 r2=7969218440116613052512756988587066487139277622134522021
Version: 
Total time: 3.14 hours.
Scaled time: 16.48 units (timescale=5.251).
Factorization parameters were as follows:
name: 18889_193
n: 65397385294555650070605005932952945829269081175923243391167998130058600854744686665852898563371338084753
skew: 2697.34
# norm 2.19e+14
c5: 1982760
c4: 87732482
c3: -38981763772947
c2: -10916996815714987
c1: 16898284620599595987
c0: 35128254053666974100225
# alpha -5.92
Y1: 189054924839
Y0: -31890257386643133618
# Murphy_E 2.11e-09
# M 50784104872271816305797812948875681285099860095748178544852532324073292558263778264389354685894911211809
type: gnfs
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.6
alambda: 2.6
qintsize: 30000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [750000, 1530001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5215107
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 285551 x 285799
Polynomial selection time: 0.29 hours.
Total sieving time: 2.45 hours.
Total relation processing time: 0.30 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,52,52,2.6,2.6,30000
total time: 3.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GMP-ECM v6.4.4 / GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 05:49:36 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 36 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 05:49:36 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 36 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:20 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 20 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 05:49:36 UTC 2010 年 10 月 13 日 (水) 14 時 49 分 36 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:21:35 UTC 2013 年 5 月 5 日 (日) 20 時 21 分 35 秒 (日本時間)

17×10194+19

c189

name 名前Robert Backstrom
date 日付February 24, 2010 22:21:26 UTC 2010 年 2 月 25 日 (木) 7 時 21 分 26 秒 (日本時間)
composite number 合成数
128501349982270593153916724926911077746113533361558276911792062441375983384926625351214976484630898391488131048397916977998981513417846403545790662381373411846146391912639037515817949265097<189>
prime factors 素因数
6219806000331726087886510092395369514702995314880584167043695732640630803843139<79>
20660025405200278553802759449425478696086412569232603141896247759522318661877897698801706439669956649515781123<110>
factorization results 素因数分解の結果
Number: n
N=128501349982270593153916724926911077746113533361558276911792062441375983384926625351214976484630898391488131048397916977998981513417846403545790662381373411846146391912639037515817949265097
  ( 189 digits)
SNFS difficulty: 195 digits.
Divisors found:

Thu Feb 25 07:21:00 2010  prp79 factor: 6219806000331726087886510092395369514702995314880584167043695732640630803843139
Thu Feb 25 07:21:00 2010  prp110 factor: 20660025405200278553802759449425478696086412569232603141896247759522318661877897698801706439669956649515781123
Thu Feb 25 07:21:00 2010  elapsed time 07:22:57 (Msieve 1.42 - dependency 1)

Version: 
Total time: 13.91 hours.
Scaled time: 11.71 units (timescale=0.842).
Factorization parameters were as follows:
name: KA_1_8_193_9
n: 128501349982270593153916724926911077746113533361558276911792062441375983384926625351214976484630898391488131048397916977998981513417846403545790662381373411846146391912639037515817949265097
m: 100000000000000000000000000000000000000
deg: 5
c5: 170000
c0: 1
skew: 0.09
type: snfs
lss: 1
rlim: 12600000
alim: 12600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 12600000/12600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 9194473)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 3389076 hash collisions in 27969105 relations
Msieve: matrix is 1686521 x 1686746 (453.8 MB)

Total sieving time: 13.91 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,195,5,0,0,0,0,0,0,0,0,12600000,12600000,28,28,56,56,2.5,2.5,100000
total time: 13.91 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 KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6825Wataru SakaiDecember 10, 2009 14:36:41 UTC 2009 年 12 月 10 日 (木) 23 時 36 分 41 秒 (日本時間)

17×10196+19

c191

name 名前matsui
date 日付October 15, 2009 12:36:16 UTC 2009 年 10 月 15 日 (木) 21 時 36 分 16 秒 (日本時間)
composite number 合成数
71326466692428108166167171616094103944479478326613960603455473614032349489617174070563693066270259338837219157281991703473221317215230130649108607971697658016444526679664866302733859554830543<191>
prime factors 素因数
76185120133903791191690400321137479269091823110582049300522285191069163<71>
936225690358746416834066797014232431566481342739412821308251213266451379641923167403248207342648269437398079244571833261<120>
factorization results 素因数分解の結果
N=71326466692428108166167171616094103944479478326613960603455473614032349489617174070563693066270259338837219157281991703473221317215230130649108607971697658016444526679664866302733859554830543
  ( 191 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=76185120133903791191690400321137479269091823110582049300522285191069163 (pp71)
 r2=936225690358746416834066797014232431566481342739412821308251213266451379641923167403248207342648269437398079244571833261 (pp120)
Version: Msieve v. 1.42
Total time: 985.18 hours.
Scaled time: 2773.28 units (timescale=2.815).
Factorization parameters were as follows:
n: 71326466692428108166167171616094103944479478326613960603455473614032349489617174070563693066270259338837219157281991703473221317215230130649108607971697658016444526679664866302733859554830543
m: 2000000000000000000000000000000000000000
deg: 5
c5: 85
c0: 16
skew: 0.72
type: snfs
lss: 1
rlim: 14200000
alim: 14200000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
qintsize: 400000
Factor base limits: 14200000/14200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [7100000, 14300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2354821 x 2355050
Total sieving time: 977.67 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 7.12 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,198.000,5,0,0,0,0,0,0,0,0,14200000,14200000,28,28,55,55,2.5,2.5,100000
total time: 985.18 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiSeptember 17, 2009 11:09:28 UTC 2009 年 9 月 17 日 (木) 20 時 9 分 28 秒 (日本時間)

17×10197+19

c146

name 名前Jo Yeong Uk
date 日付November 16, 2017 11:01:26 UTC 2017 年 11 月 16 日 (木) 20 時 1 分 26 秒 (日本時間)
composite number 合成数
84354901011656837473697100461360840512927835673824282048682948500330770957014891754878880683685686156085919078638921977848145337797011934711012169<146>
prime factors 素因数
8565845295493745491035861955009586690156942363923687703<55>
9847819812486412742847500446219188984060153282672500651279817858195974233935843389438565023<91>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 84354901011656837473697100461360840512927835673824282048682948500330770957014891754878880683685686156085919078638921977848145337797011934711012169 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=6385524368
Step 1 took 25034ms
Step 2 took 8929ms
********** Factor found in step 2: 8565845295493745491035861955009586690156942363923687703
Found probable prime factor of 55 digits: 8565845295493745491035861955009586690156942363923687703
Probable prime cofactor 9847819812486412742847500446219188984060153282672500651279817858195974233935843389438565023 has 91 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 06:15:12 UTC 2010 年 10 月 13 日 (水) 15 時 15 分 12 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 06:15:12 UTC 2010 年 10 月 13 日 (水) 15 時 15 分 12 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:30 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 30 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 06:15:12 UTC 2010 年 10 月 13 日 (水) 15 時 15 分 12 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:21:56 UTC 2013 年 5 月 5 日 (日) 20 時 21 分 56 秒 (日本時間)

17×10198+19

c177

name 名前Jo Yeong Uk
date 日付March 11, 2018 09:13:02 UTC 2018 年 3 月 11 日 (日) 18 時 13 分 2 秒 (日本時間)
composite number 合成数
936035573289366306098995029998732653282924557748882874838924173985835666681835182940848727353952516552872238346545861164807617128613183520211983149396425697773866098870970909379<177>
prime factors 素因数
215242113001343605126117912970385162629281437777389<51>
4348756664006189598933164529666845116060794707257788339132572571686441282737580420269145567715153152885001089965105362203372911<127>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 936035573289366306098995029998732653282924557748882874838924173985835666681835182940848727353952516552872238346545861164807617128613183520211983149396425697773866098870970909379 (177 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5114197046
Step 1 took 34710ms
Step 2 took 11042ms
********** Factor found in step 2: 215242113001343605126117912970385162629281437777389
Found probable prime factor of 51 digits: 215242113001343605126117912970385162629281437777389
Probable prime cofactor 4348756664006189598933164529666845116060794707257788339132572571686441282737580420269145567715153152885001089965105362203372911 has 127 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 13:32:34 UTC 2010 年 10 月 13 日 (水) 22 時 32 分 34 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 13:32:34 UTC 2010 年 10 月 13 日 (水) 22 時 32 分 34 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:39 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 39 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 13:32:34 UTC 2010 年 10 月 13 日 (水) 22 時 32 分 34 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:22:05 UTC 2013 年 5 月 5 日 (日) 20 時 22 分 5 秒 (日本時間)

17×10199+19

c166

name 名前Jo Yeong Uk
date 日付April 27, 2018 01:51:59 UTC 2018 年 4 月 27 日 (金) 10 時 51 分 59 秒 (日本時間)
composite number 合成数
4975917368733220365558305331500124074308288190837268228655811972937397809427911846724158181135477421532689578209272978250140591487780620475161238667399761949511446799<166>
prime factors 素因数
5138161329524717989941204310400876953401360087726965357<55>
968423731684091504254452860434926485292499218152567072454501235976859995144895145021083361879368400233852924907<111>
factorization results 素因数分解の結果
Number: 18889_199
N=4975917368733220365558305331500124074308288190837268228655811972937397809427911846724158181135477421532689578209272978250140591487780620475161238667399761949511446799
  ( 166 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=5138161329524717989941204310400876953401360087726965357
 r2=968423731684091504254452860434926485292499218152567072454501235976859995144895145021083361879368400233852924907
Version: 
Total time: 195.50 hours.
Scaled time: 1025.79 units (timescale=5.247).
Factorization parameters were as follows:
n: 4975917368733220365558305331500124074308288190837268228655811972937397809427911846724158181135477421532689578209272978250140591487780620475161238667399761949511446799
m: 10000000000000000000000000000000000000000
deg: 5
c5: 17
c0: 10
skew: 0.90
# Murphy_E = 1.715e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [8000000, 15300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 37747991
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3001740 x 3001987
Total sieving time: 176.87 hours.
Total relation processing time: 2.11 hours.
Matrix solve time: 16.32 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16000000,16000000,29,29,56,56,2.6,2.6,100000
total time: 195.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367612k/51380224k available (5516k kernel code, 1086464k absent, 926148k reserved, 6912k data, 1332k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.92 BogoMIPS (lpj=3399960)
Total of 12 processors activated (81599.04 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMay 10, 2008 09:00:00 UTC 2008 年 5 月 10 日 (土) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 13, 2010 13:43:22 UTC 2010 年 10 月 13 日 (水) 22 時 43 分 22 秒 (日本時間)
403e61110110Ignacio SantosOctober 13, 2010 13:43:22 UTC 2010 年 10 月 13 日 (水) 22 時 43 分 22 秒 (日本時間)
1000Dmitry DomanovApril 10, 2013 15:39:47 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 47 秒 (日本時間)
4511e61032 / 422032Ignacio SantosOctober 13, 2010 13:43:22 UTC 2010 年 10 月 13 日 (水) 22 時 43 分 22 秒 (日本時間)
1000Dmitry DomanovMay 5, 2013 11:22:15 UTC 2013 年 5 月 5 日 (日) 20 時 22 分 15 秒 (日本時間)

17×10201+19

c167

composite cofactor 合成数の残り
14945848337947540764229123275495969638965952371425780920428917271000973060351936491803692823155887826317847444354969374624925707062896357669651693502258802140418406827<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:39:57 UTC 2013 年 4 月 11 日 (木) 0 時 39 分 57 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 11:22:25 UTC 2013 年 5 月 5 日 (日) 20 時 22 分 25 秒 (日本時間)

17×10203+19

c199

composite cofactor 合成数の残り
1854087663446007331280749225918400511291939190287198179067786535615388055094760239199121380575486997937600134366823609734178361051943901851142935980534260813420977147824228126946110396742040783384757<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:40:08 UTC 2013 年 4 月 11 日 (木) 0 時 40 分 8 秒 (日本時間)
4511e649501000Dmitry DomanovMay 5, 2013 11:23:20 UTC 2013 年 5 月 5 日 (日) 20 時 23 分 20 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:37 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:08 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 8 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:54 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 54 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:14 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 14 秒 (日本時間)

17×10204+19

c191

composite cofactor 合成数の残り
42810735875728250000204773112023802454380475798106294389874100331801983488988883583912685860958664194206674617142839383727585113627003487995376030964922439259094677368413407546999694282984697<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:40:20 UTC 2013 年 4 月 11 日 (木) 0 時 40 分 20 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 11:23:27 UTC 2013 年 5 月 5 日 (日) 20 時 23 分 27 秒 (日本時間)

17×10205+19

c152

name 名前Dmitry Domanov
date 日付March 26, 2013 05:07:43 UTC 2013 年 3 月 26 日 (火) 14 時 7 分 43 秒 (日本時間)
composite number 合成数
19617015088529542890487684157039804188889028169960187817644958591643754917172215399992852333415141323393419606072987599597358818521731286324993137078551<152>
prime factors 素因数
870208017709335049296397281857472133<36>
22542903178676497475841204342213874234522048029993493023075523671863022681336173408789249011050392285416562923975147<116>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2125781496
Step 1 took 16482ms
Step 2 took 7318ms
********** Factor found in step 2: 870208017709335049296397281857472133
Found probable prime factor of 36 digits: 870208017709335049296397281857472133

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10206+19

c153

name 名前Dmitry Domanov
date 日付March 27, 2013 12:07:04 UTC 2013 年 3 月 27 日 (水) 21 時 7 分 4 秒 (日本時間)
composite number 合成数
126396655129717563544662956018918648009609246293666488917588738333361162171766155805131741682160432202332571671267146176775914975510243849551527400741213<153>
prime factors 素因数
392799512476153551931343038196838174539<39>
321784144621083185378665197882184634826630173970428622411039550740558901044553058458120963458676222024295459358967<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1517897480
Step 1 took 16555ms
Step 2 took 7310ms
********** Factor found in step 2: 392799512476153551931343038196838174539
Found probable prime factor of 39 digits: 392799512476153551931343038196838174539

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10207+19

c176

composite cofactor 合成数の残り
90467024264695716657366764027683197810746418197224405237329563923195203812513427268941747301921330520253640995883747364554236742560971836527470888244166156216005620489630116117<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:40:34 UTC 2013 年 4 月 11 日 (木) 0 時 40 分 34 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 11:23:36 UTC 2013 年 5 月 5 日 (日) 20 時 23 分 36 秒 (日本時間)

17×10209+19

c201

composite cofactor 合成数の残り
289473879193140949398485002728760429358398802972246342590636302575192476073532684019004330014480060682211771905276020344821567557598593402284747888796205653085086419370980899218140366547086216151122653<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:40:46 UTC 2013 年 4 月 11 日 (木) 0 時 40 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:25:22 UTC 2013 年 5 月 6 日 (月) 2 時 25 分 22 秒 (日本時間)

17×10210+19

c181

composite cofactor 合成数の残り
2377053939150813754730181079943839814552845539398702371519678873894718281467048766408390248627575285783660723766738337731774222499676824158661531839076428423274916042595164544688777<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:41:00 UTC 2013 年 4 月 11 日 (木) 0 時 41 分 0 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:25:31 UTC 2013 年 5 月 6 日 (月) 2 時 25 分 31 秒 (日本時間)

17×10211+19

c192

name 名前Dmitry Domanov
date 日付March 26, 2013 05:11:16 UTC 2013 年 3 月 26 日 (火) 14 時 11 分 16 秒 (日本時間)
composite number 合成数
153173049085636090440043660081923504285153534700602780245954820700531072460908287874377036548016226463859018592420977700800548988866534459646620984165841259334721327314553766025074136862428519<192>
prime factors 素因数
594955433947835535628868341<27>
1371432295184649020534530898671019<34>
187725621099405591051527295593291009513572475254315730565837897685261141892559762409117898808289406912998234272069394869797765885761<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1565413378
Step 1 took 27911ms
Step 2 took 10902ms
********** Factor found in step 2: 594955433947835535628868341
Found probable prime factor of 27 digits: 594955433947835535628868341

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2255931095
Step 1 took 17615ms
Step 2 took 7588ms
********** Factor found in step 2: 1371432295184649020534530898671019
Found probable prime factor of 34 digits: 1371432295184649020534530898671019

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10212+19

c163

name 名前Dmitry Domanov
date 日付March 25, 2013 15:10:24 UTC 2013 年 3 月 26 日 (火) 0 時 10 分 24 秒 (日本時間)
composite number 合成数
1383461533552690621621311319024494406313194056224352012417574096891607591739672602975490240841981246015770727586333035753149126991036930423927033396688648300519141<163>
prime factors 素因数
72691000705676353641680769463<29>
19032088155647825036892226305932685116129292784290156645677574326310304337640094990567985696190628747213892387364242374730146796938307<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1035742804
Step 1 took 19578ms
Step 2 took 7939ms
********** Factor found in step 2: 72691000705676353641680769463
Found probable prime factor of 29 digits: 72691000705676353641680769463

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10213+19

c183

composite cofactor 合成数の残り
117338530098925177052050272034210597926731768481400786033665737239926395332584744005265878151509887404848295683018444292549632580306502994068317402978362407509046436849607957349169503<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:46:45 UTC 2013 年 4 月 11 日 (木) 0 時 46 分 45 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:25:40 UTC 2013 年 5 月 6 日 (月) 2 時 25 分 40 秒 (日本時間)

17×10215+19

c150

composite cofactor 合成数の残り
553889410366465518194520916421253630749041671407487143871732905630783501060776574859470363473754702205300396413735282231343621238306285062856168144879<150>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:46:57 UTC 2013 年 4 月 11 日 (木) 0 時 46 分 57 秒 (日本時間)
4511e642581000Dmitry DomanovMay 5, 2013 17:28:13 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 13 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:06 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 6 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:08 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 8 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:09 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 9 秒 (日本時間)
1108Ignacio SantosJanuary 8, 2016 18:25:53 UTC 2016 年 1 月 9 日 (土) 3 時 25 分 53 秒 (日本時間)

17×10217+19

c183

composite cofactor 合成数の残り
119831118223154605188314236715819103636462719877795967830287405335535396923567548735464861036441764628827065046029289943427561628996078200215615303147477666659629133084041562990170053<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:47:08 UTC 2013 年 4 月 11 日 (木) 0 時 47 分 8 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:28:21 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 21 秒 (日本時間)

17×10219+19

c113

name 名前Dmitry Domanov
date 日付March 29, 2013 15:37:21 UTC 2013 年 3 月 30 日 (土) 0 時 37 分 21 秒 (日本時間)
composite number 合成数
49211733573407559239752351501037784620028343160864106697949524772977941801325138647948504899119490705200387331693<113>
prime factors 素因数
9354407827962800218199629620076605287<37>
5260806934919029928553294064518435109017521769376315829313970799361655286539<76>
factorization results 素因数分解の結果
prp76 = 5260806934919029928553294064518435109017521769376315829313970799361655286539
prp37 = 9354407827962800218199629620076605287
NFS elapsed time = 7573.9981 seconds.
software ソフトウェア
YAFU 1.34

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10221+19

c186

composite cofactor 合成数の残り
161250716225549017634058770838847271717576338702554623605149390386132684426218705847868043879007997798260955439774233702847144670145974419089766627661338896118657838551310994539152158989<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:47:22 UTC 2013 年 4 月 11 日 (木) 0 時 47 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:28:32 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 32 秒 (日本時間)

17×10222+19

c223

name 名前Dmitry Domanov
date 日付March 25, 2013 16:19:22 UTC 2013 年 3 月 26 日 (火) 1 時 19 分 22 秒 (日本時間)
composite number 合成数
1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<223>
prime factors 素因数
14459680362592528005140383149253<32>
composite cofactor 合成数の残り
130631441465018886388369012669434321988211525333983923778935914874173376584400336118710482167924776426014613017836226581886976209796351098100465058455429752278410473847226676454158957925866213<192>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4004026986
Step 1 took 34968ms
Step 2 took 14392ms
********** Factor found in step 2: 14459680362592528005140383149253
Found probable prime factor of 32 digits: 14459680362592528005140383149253

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:47:33 UTC 2013 年 4 月 11 日 (木) 0 時 47 分 33 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:28:42 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 42 秒 (日本時間)

17×10223+19

c189

composite cofactor 合成数の残り
119346401412713343836417216533813846599516021328366675109013712913696656268481091744650268342546823164722229919838947905329702103301084628406868699220790952908801288579026481939366201621301<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:47:46 UTC 2013 年 4 月 11 日 (木) 0 時 47 分 46 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:28:50 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 50 秒 (日本時間)

17×10224+19

c193

composite cofactor 合成数の残り
6815129195133275413849028982144206085709211044978676839020221641687911083124832634353736747410460192917150862371710816990047447909948343781157698020478559730765548216101997473748826858430132309<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:47:58 UTC 2013 年 4 月 11 日 (木) 0 時 47 分 58 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:28:59 UTC 2013 年 5 月 6 日 (月) 2 時 28 分 59 秒 (日本時間)

17×10225+19

c217

composite cofactor 合成数の残り
2313050379733542068659770829164629782596866943245420695549213261215105631681982541321324214142007682510834408595280734115700936029349260021868794682377072473938521557229041246450569257352361024017450993089682938647771<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:48:13 UTC 2013 年 4 月 11 日 (木) 0 時 48 分 13 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:29:12 UTC 2013 年 5 月 6 日 (月) 2 時 29 分 12 秒 (日本時間)

17×10227+19

c201

name 名前Dmitry Domanov
date 日付May 6, 2013 05:46:32 UTC 2013 年 5 月 6 日 (月) 14 時 46 分 32 秒 (日本時間)
composite number 合成数
441021713541986210050903708980769047739633777612198211360524330356522757204370911870680135384433890483157767306238623610100445091684926616878462971901265818633012910200197029509702447516086879071808231<201>
prime factors 素因数
20659614687686810641033231078271480319559<41>
composite cofactor 合成数の残り
21347044473430398046413579006739258304666394172682794203876935616917118629215660765066580920616707664341164551951883946999500911407390828449427018735610216115809<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=56021431
Step 1 took 83293ms
Step 2 took 27092ms
********** Factor found in step 2: 20659614687686810641033231078271480319559
Found probable prime factor of 41 digits: 20659614687686810641033231078271480319559

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:48:25 UTC 2013 年 4 月 11 日 (木) 0 時 48 分 25 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 17:29:33 UTC 2013 年 5 月 6 日 (月) 2 時 29 分 33 秒 (日本時間)

17×10228+19

c211

name 名前Dmitry Domanov
date 日付March 26, 2013 05:10:06 UTC 2013 年 3 月 26 日 (火) 14 時 10 分 6 秒 (日本時間)
composite number 合成数
1102587567602517461504489971549294532522474019698023660379819325839711534369455891510769508048752864632015340442980370650805850412417106107227879896113542171393209286702213880701719081650797466491059312084247259<211>
prime factors 素因数
489734868142060471237069882875870654461<39>
2251396907443974268728844480942602457297381476445759923660109786489709143214325793682122780448681139108113909746671959038890869554598833819380534717052545913506121958062519<172>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2682315662
Step 1 took 37090ms
Step 2 took 12957ms
********** Factor found in step 2: 489734868142060471237069882875870654461
Found probable prime factor of 39 digits: 489734868142060471237069882875870654461

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10229+19

c197

composite cofactor 合成数の残り
41417922575230885500330109425987783327885427092612452148851974510107223785193294174167322994043427345042539631813935849069571854911246132416458848942701015336891451306576587519828347459978703250851<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:48:35 UTC 2013 年 4 月 11 日 (木) 0 時 48 分 35 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 20:59:19 UTC 2013 年 5 月 6 日 (月) 5 時 59 分 19 秒 (日本時間)

17×10230+19

c189

composite cofactor 合成数の残り
315224933138629847214096844904467555662063427416887920412311599052077493150221001073612211374962106390250735669941741378992447783072449907221249698899383108938001710368190529861815794301419<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:48:44 UTC 2013 年 4 月 11 日 (木) 0 時 48 分 44 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 20:59:29 UTC 2013 年 5 月 6 日 (月) 5 時 59 分 29 秒 (日本時間)

17×10231+19

c230

name 名前Dmitry Domanov
date 日付May 8, 2013 05:04:31 UTC 2013 年 5 月 8 日 (水) 14 時 4 分 31 秒 (日本時間)
composite number 合成数
65134099616858237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651340996168582375478927203065134099616858237547892720306513409961685823754789272030651341<230>
prime factors 素因数
227673875041222741021384238591253731<36>
composite cofactor 合成数の残り
286085083785151134397551865616230463315018921894871683900027208441710661335271128977646953490762885863896032629519679413679011052632039594814292088899845421950798948846114785617092077471908711311<195>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3357104581
Step 1 took 112821ms
Step 2 took 38276ms
********** Factor found in step 2: 227673875041222741021384238591253731
Found probable prime factor of 36 digits: 227673875041222741021384238591253731

c195

name 名前Dmitry Domanov
date 日付May 8, 2013 15:54:06 UTC 2013 年 5 月 9 日 (木) 0 時 54 分 6 秒 (日本時間)
composite number 合成数
286085083785151134397551865616230463315018921894871683900027208441710661335271128977646953490762885863896032629519679413679011052632039594814292088899845421950798948846114785617092077471908711311<195>
prime factors 素因数
444110675968044926492555891157046499669659<42>
644175200610885112531600691793575278582485775153378982148749518758917391610550046241734716648014744484180815377033302832305413177116610310422094526796829<153>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2781134963
Step 1 took 98907ms
Step 2 took 32608ms
********** Factor found in step 2: 444110675968044926492555891157046499669659
Found probable prime factor of 42 digits: 444110675968044926492555891157046499669659

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:48:53 UTC 2013 年 4 月 11 日 (木) 0 時 48 分 53 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 20:59:40 UTC 2013 年 5 月 6 日 (月) 5 時 59 分 40 秒 (日本時間)

17×10232+19

c206

composite cofactor 合成数の残り
36309662390694851429604677149464931588003446079149316678086964375422963665047220438391227319655488598983668543773893871992653513966034039630705815416825119911439845967725285162478562626955153664089695409873<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:49:06 UTC 2013 年 4 月 11 日 (木) 0 時 49 分 6 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 20:59:52 UTC 2013 年 5 月 6 日 (月) 5 時 59 分 52 秒 (日本時間)

17×10233+19

c221

name 名前Dmitry Domanov
date 日付March 26, 2013 05:08:43 UTC 2013 年 3 月 26 日 (火) 14 時 8 分 43 秒 (日本時間)
composite number 合成数
41667043899073972998892446223183190209008529672308180924126665724443977924169824701286535057843185460365565794313582745697181731946716599300621754981009546057627374092768253755574999348447696149438055701124694359751456531<221>
prime factors 素因数
71410430627291952874483687789510421891749379<44>
574915781899566530208568596168118135461212237<45>
1014908307984268026761160343733277618867697354835161601217831108203881551920465980087381004634556898285924804233497553760574923082997<133>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2609461639
Step 1 took 42919ms
Step 2 took 13879ms
********** Factor found in step 2: 574915781899566530208568596168118135461212237
Found probable prime factor of 45 digits: 574915781899566530208568596168118135461212237

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=230195030
Step 1 took 31347ms
Step 2 took 10982ms
********** Factor found in step 2: 71410430627291952874483687789510421891749379
Found probable prime factor of 44 digits: 71410430627291952874483687789510421891749379

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)

17×10236+19

c234

composite cofactor 合成数の残り
130358101372594126217314623111724560999923318763898474043401579633463691434705927459550647956445057894333256652097231807376734912966797024768039260792883981289778391227666589985430565140710068246300130358101372594126217314623111724561<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:49:18 UTC 2013 年 4 月 11 日 (木) 0 時 49 分 18 秒 (日本時間)
4511e639501000Dmitry DomanovMay 5, 2013 21:01:10 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:00 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 0 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:37 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 37 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:28 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 28 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:16 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 16 秒 (日本時間)
5043e687 / 6628KTakahashiSeptember 15, 2014 23:01:35 UTC 2014 年 9 月 16 日 (火) 8 時 1 分 35 秒 (日本時間)

17×10237+19

c219

composite cofactor 合成数の残り
393543016054326041767085505631983684728342959048328707962030757936582865457482998690382976327733149937006401804596654988862244930172888895679475539771683177299991157754361177539807926348031477076638351458382548979834833<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:49:30 UTC 2013 年 4 月 11 日 (木) 0 時 49 分 30 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:01:19 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 19 秒 (日本時間)

17×10240+19

c204

composite cofactor 合成数の残り
335924427287431166990847743335324732704029478406801084728877639083751552814880627998987475647500164711291913209990221198901776425185535307566778215341498632427888418803728461949427491048124059252785644701<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:49:43 UTC 2013 年 4 月 11 日 (木) 0 時 49 分 43 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:01:27 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 27 秒 (日本時間)

17×10241+19

c222

composite cofactor 合成数の残り
219207475270302665284829858901760364126255060607292695282230461493610432645268846083294386227286342665615795174605903750900367014494714389319664979179552975073791471647647328428723830522971797809940628119235454231956596193<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:49:52 UTC 2013 年 4 月 11 日 (木) 0 時 49 分 52 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:01:36 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 36 秒 (日本時間)

17×10242+19

c209

composite cofactor 合成数の残り
14720665706995421427954075428249425868392100437917866978842581972664495338308459880550388362971462474951081183889602775274817994164674604646488222158046959338219675140497402508929332960454587825018279496999669<209>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:03 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 3 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:01:49 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 49 秒 (日本時間)

17×10243+19

c178

name 名前Dmitry Domanov
date 日付May 6, 2013 05:31:10 UTC 2013 年 5 月 6 日 (月) 14 時 31 分 10 秒 (日本時間)
composite number 合成数
4669890211069158186074472884589920778479370036384099428449022801665026633098276232554809825963911403221391544010421701490902104202229801634493771356245161735581759806100830771729<178>
prime factors 素因数
57920667776075363345563830274125897557<38>
composite cofactor 合成数の残り
80625627955865816863981560638766024730826911001170979408575117430899105941951955452469402476845128278988709046170863408896327112541061429197<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3630960768
Step 1 took 84005ms
Step 2 took 29238ms
********** Factor found in step 2: 57920667776075363345563830274125897557
Found probable prime factor of 38 digits: 57920667776075363345563830274125897557

c140

name 名前Erik Branger
date 日付July 5, 2016 15:08:21 UTC 2016 年 7 月 6 日 (水) 0 時 8 分 21 秒 (日本時間)
composite number 合成数
80625627955865816863981560638766024730826911001170979408575117430899105941951955452469402476845128278988709046170863408896327112541061429197<140>
prime factors 素因数
660865389082334037465433168139974754338176890922215441359367034917<66>
122000076396527792747161302176528462336003705288038603755444347836293192841<75>
factorization results 素因数分解の結果
Number: 18889_243
N = 80625627955865816863981560638766024730826911001170979408575117430899105941951955452469402476845128278988709046170863408896327112541061429197 (140 digits)
Divisors found:
r1=660865389082334037465433168139974754338176890922215441359367034917 (pp66)
r2=122000076396527792747161302176528462336003705288038603755444347836293192841 (pp75)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 167.80 hours.
Factorization parameters were as follows:
# Murphy_E = 2.207e-11, selected by Erik Branger
# expecting poly E from 2.08e-011 to > 2.39e-011
n: 80625627955865816863981560638766024730826911001170979408575117430899105941951955452469402476845128278988709046170863408896327112541061429197
Y0: -1999930669196491162303412410
Y1: 672947132596453
c0: -898073970190511057214600815500636671
c1: 778966987899180876843490486700
c2: 489524538779257281790140
c3: -155552917601333980
c4: -36776430629
c5: 2520
skew: 3964639.29
type: gnfs
# selected mechanically
rlim: 18100000
alim: 18100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23364157
Relations: 3050482 relations
Pruned matrix : 1941786 x 1942013
Polynomial selection time: 0.00 hours.
Total sieving time: 166.23 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.33 hours.
time per square root: 0.10 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18100000,18100000,28,28,55,55,2.6,2.6,100000
total time: 167.80 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
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
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:13 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 13 秒 (日本時間)
4511e649001000Dmitry DomanovMay 6, 2013 17:15:26 UTC 2013 年 5 月 7 日 (火) 2 時 15 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:15 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 15 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:22 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 22 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:31 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 31 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:23 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 23 秒 (日本時間)

17×10245+19

c213

name 名前Dmitry Domanov
date 日付May 6, 2013 05:47:09 UTC 2013 年 5 月 6 日 (月) 14 時 47 分 9 秒 (日本時間)
composite number 合成数
307443972542575117693082397349675735659412605801407302216913409774564419235962401353796410097947574436449952852664815180235415633287972239766715715399947224425538642705689676210113573752352642708652427227898991449<213>
prime factors 素因数
8041982483210357015703436347746159408189<40>
47897685761364591897596563247614429492571<41>
798157005555759232182377437859568513540936935319191377809711505084478259404013593924289981378697525530127008745881420654182702922871<132>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1293486577
Step 1 took 113471ms
Step 2 took 30798ms
********** Factor found in step 2: 47897685761364591897596563247614429492571
Found probable prime factor of 41 digits: 47897685761364591897596563247614429492571

Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=817620102
Step 1 took 67941ms
Step 2 took 24556ms
********** Factor found in step 2: 8041982483210357015703436347746159408189
Found probable prime factor of 40 digits: 8041982483210357015703436347746159408189

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:22 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 22 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:01:58 UTC 2013 年 5 月 6 日 (月) 6 時 1 分 58 秒 (日本時間)

17×10247+19

c217

name 名前Dmitry Domanov
date 日付March 26, 2013 05:09:28 UTC 2013 年 3 月 26 日 (火) 14 時 9 分 28 秒 (日本時間)
composite number 合成数
5843925068355915556048236184756040399065413846341005109136830136818635758321485337750898882576169567486141276695866547731514368061986550787988350468906625024180468828202492105163041675880623758636172051265355292334011<217>
prime factors 素因数
142524116493638750952556806687543243157<39>
composite cofactor 合成数の残り
41003061180994910709922520639003977419043728286696140816190191268905554410496453480892423594882006693012957452239981658841064246213836643869750806865666113445204724594501339230223<179>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2607191574
Step 1 took 33314ms
Step 2 took 7872ms
********** Factor found in step 2: 142524116493638750952556806687543243157
Found probable prime factor of 39 digits: 142524116493638750952556806687543243157

c179

name 名前Dmitry Domanov
date 日付May 7, 2013 05:02:11 UTC 2013 年 5 月 7 日 (火) 14 時 2 分 11 秒 (日本時間)
composite number 合成数
41003061180994910709922520639003977419043728286696140816190191268905554410496453480892423594882006693012957452239981658841064246213836643869750806865666113445204724594501339230223<179>
prime factors 素因数
562015335050432585027001391267448466097<39>
composite cofactor 合成数の残り
72957192844774406161794673956091070731300442346678736996310653370777164322871789261554283138874238100334777299592064533001995438860093306559<140>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1717998225
Step 1 took 83836ms
Step 2 took 29248ms
********** Factor found in step 2: 562015335050432585027001391267448466097
Found probable prime factor of 39 digits: 562015335050432585027001391267448466097

c140

name 名前Erik Branger
date 日付September 26, 2016 15:57:10 UTC 2016 年 9 月 27 日 (火) 0 時 57 分 10 秒 (日本時間)
composite number 合成数
72957192844774406161794673956091070731300442346678736996310653370777164322871789261554283138874238100334777299592064533001995438860093306559<140>
prime factors 素因数
117515439256873819352216572778691919789520779<45>
620830703660131432955737603225505507802711675279449204799980253759093862008740737235772661793821<96>
factorization results 素因数分解の結果
Number: 18889_247
N = 72957192844774406161794673956091070731300442346678736996310653370777164322871789261554283138874238100334777299592064533001995438860093306559 (140 digits)
Divisors found:
r1=117515439256873819352216572778691919789520779 (pp45)
r2=620830703660131432955737603225505507802711675279449204799980253759093862008740737235772661793821 (pp96)
Version: Msieve v. 1.51 (SVN 845)
Total time: 298.79 hours.
Factorization parameters were as follows:
# Murphy_E = 2.12e-11, selected by Erik Branger
# expecting poly E from 2.09e-011 to > 2.41e-011
n: 72957192844774406161794673956091070731300442346678736996310653370777164322871789261554283138874238100334777299592064533001995438860093306559
Y0: -2021727859430744634436779792
Y1: 291527396709901
c0: -8169371579898512079864796862988263285
c1: 13609404967709465866620002410612
c2: -2768968165943446650498463
c3: -301892424637473652
c4: 30548490468
c5: 2160
skew: 8357106.5
type: gnfs
# selected mechanically
rlim: 18100000
alim: 18100000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 23182931
Relations: 3251816 relations
Pruned matrix : 2042250 x 2042475
Polynomial selection time: 0.00 hours.
Total sieving time: 294.65 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.68 hours.
time per square root: 0.27 hours.
Prototype def-par.txt line would be: gnfs,139,5,65,2000,1e-05,0.28,250,20,50000,3600,18100000,18100000,28,28,55,55,2.6,2.6,100000
total time: 298.79 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
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:30 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 30 秒 (日本時間)
4511e649001000Dmitry DomanovMay 5, 2013 21:02:07 UTC 2013 年 5 月 6 日 (月) 6 時 2 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:46:14 UTC 2013 年 11 月 8 日 (金) 10 時 46 分 14 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:21 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 21 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:30 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 30 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:22 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 22 秒 (日本時間)

17×10248+19

c233

name 名前Dmitry Domanov
date 日付May 8, 2013 09:15:37 UTC 2013 年 5 月 8 日 (水) 18 時 15 分 37 秒 (日本時間)
composite number 合成数
55981029051070180854428858036835111339743642144075632305461329324726918785694635903140085689746193001068224146881195547683312822321111844290549641942839978716168055495340553546344526566218369772420277154991772899433409017322001516061<233>
prime factors 素因数
227950515098173185313782517331379646113310187<45>
composite cofactor 合成数の残り
245584130516048206774846309402925340105339310609262522486035840655491356845581516771175401879323146792884177598760563326265357335100079201306759897476067928040640418888849898905600850516503<189>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1554793093
Step 1 took 129357ms
Step 2 took 40145ms
********** Factor found in step 2: 227950515098173185313782517331379646113310187
Found probable prime factor of 45 digits: 227950515098173185313782517331379646113310187

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:40 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 40 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:02:20 UTC 2013 年 5 月 6 日 (月) 6 時 2 分 20 秒 (日本時間)

17×10249+19

c174

composite cofactor 合成数の残り
302790701424535102007966927441668138962345906425481597670347294367092747849769214518114515389395478519405163361964002059284641074834430680469811074997933675105321915088305029<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:50 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 50 秒 (日本時間)
4511e61000 / 4254Dmitry DomanovMay 5, 2013 21:02:33 UTC 2013 年 5 月 6 日 (月) 6 時 2 分 33 秒 (日本時間)

17×10250+19

c235

composite cofactor 合成数の残り
4646370226591020470172485561954011358113232255231780962501043378178772900377544012269516893507831944969203734422315694258283302515872034101382943555123151291115415438239088056812394468976656986192734344458269769007090246259796939017989<235>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 25, 2013 13:00:00 UTC 2013 年 3 月 25 日 (月) 22 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovApril 10, 2013 15:50:59 UTC 2013 年 4 月 11 日 (木) 0 時 50 分 59 秒 (日本時間)
4511e62000Dmitry DomanovApril 17, 2013 07:50:11 UTC 2013 年 4 月 17 日 (水) 16 時 50 分 11 秒 (日本時間)
5043e6500 / 6897Dmitry DomanovMay 2, 2013 19:52:35 UTC 2013 年 5 月 3 日 (金) 4 時 52 分 35 秒 (日本時間)
5511e770 / 17458Dmitry DomanovMay 6, 2013 11:04:57 UTC 2013 年 5 月 6 日 (月) 20 時 4 分 57 秒 (日本時間)

17×10252+19

c245

composite cofactor 合成数の残り
32391025249438664961443047764394587340024560818805639362093663805397829839796447023486467564102701141517080958454324053920028848895156514167566741807557575757125401074963241378432699157642998607393597906619101627407610378463274380124042269548673<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:29:47 UTC 2016 年 1 月 4 日 (月) 18 時 29 分 47 秒 (日本時間)

17×10255+19

c232

composite cofactor 合成数の残り
1344908260189942767370326756525974478146080561155422267926374186849425144123775987021427746741465899266668011729569523546685100585611533665907880280229026005082221810050501924631288251783746966514946846592033055369014053117971433727<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:30:08 UTC 2016 年 1 月 4 日 (月) 18 時 30 分 8 秒 (日本時間)

17×10256+19

c242

composite cofactor 合成数の残り
34143662458813288255260537488092332256001407412680949167298449802046118366263293186448248886006064314092757546718571003715961062877100898905918651631347602664760100844788991466926759740209825001208263528569610624726115289534102077516353965983<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:30:20 UTC 2016 年 1 月 4 日 (月) 18 時 30 分 20 秒 (日本時間)

17×10257+19

c207

name 名前Dmitry Domanov
date 日付January 8, 2016 13:39:45 UTC 2016 年 1 月 8 日 (金) 22 時 39 分 45 秒 (日本時間)
composite number 合成数
443479789834249187755772536965941211898263708404797473109812451467324699610435774823418691520441330826545335041274562454740594508527659809821159354847955501843025933090818260784275076729755374831024810971267<207>
prime factors 素因数
4954031067178129832041949993476537294740887833<46>
89518976328676944798371813588330020968971205355316591676051489390901184746204586633990404264672892627180127240201701974214464274397084979409123536835189780872699<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4175590039
Step 1 took 74339ms
Step 2 took 25643ms
********** Factor found in step 2: 4954031067178129832041949993476537294740887833
Found probable prime factor of 46 digits: 4954031067178129832041949993476537294740887833

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:30:33 UTC 2016 年 1 月 4 日 (月) 18 時 30 分 33 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 8, 2016 10:46:03 UTC 2016 年 1 月 8 日 (金) 19 時 46 分 3 秒 (日本時間)

17×10258+19

c219

composite cofactor 合成数の残り
101274257398449660450591763326919578645208499914160808645697476547258224424842384905980480077327113598161396273050035637567875578193905582562768597805512611313416246938792724832609301480659397425044958994642970044066153<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:30:45 UTC 2016 年 1 月 4 日 (月) 18 時 30 分 45 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 8, 2016 10:46:19 UTC 2016 年 1 月 8 日 (金) 19 時 46 分 19 秒 (日本時間)

17×10259+19

c167

name 名前Dmitry Domanov
date 日付January 5, 2016 10:14:53 UTC 2016 年 1 月 5 日 (火) 19 時 14 分 53 秒 (日本時間)
composite number 合成数
35109220831415190708957396109284124856292299561813378265327919743580515355471677239978740220537982042258316898221577986008688456417167661608933785130946865354248191023<167>
prime factors 素因数
428389147821379263519881016875139245088089<42>
50554737222063845181079081028261474325435363932527<50>
1621141313450919212986176880982060413611100328969122543463872321059796928041<76>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3404292111
Step 1 took 17650ms
Step 2 took 7053ms
********** Factor found in step 2: 428389147821379263519881016875139245088089
Found probable prime factor of 42 digits: 428389147821379263519881016875139245088089
Composite cofactor 81956373101342656867579275330253969269980001134960644871965034457715642262522948851740216158476017926592614358236963798289607 has 125 digits


N=81956373101342656867579275330253969269980001134960644871965034457715642262522948851740216158476017926592614358236963798289607
  ( 125 digits)
Divisors found:
 r1=50554737222063845181079081028261474325435363932527 (pp50)
 r2=1621141313450919212986176880982060413611100328969122543463872321059796928041 (pp76)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 61.48 hours.
Scaled time: 112.64 units (timescale=1.832).
Factorization parameters were as follows:
n: 81956373101342656867579275330253969269980001134960644871965034457715642262522948851740216158476017926592614358236963798289607
skew: 268805.03
c0: -2628421525242198339162039147960
c1: 87518815646243111493164466
c2: 1272117910612337850853
c3: 831362821756888
c4: -15946869590
c5: 16368
Y0: -1380121935662615579179691
Y1: 582327080983
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
type: gnfs
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [3500000, 7020001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 736966 x 737193
Total sieving time: 60.69 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,124,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,7000000,7000000,27,27,54,54,2.5,2.5,100000
total time: 61.48 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:30:57 UTC 2016 年 1 月 4 日 (月) 18 時 30 分 57 秒 (日本時間)

17×10260+19

c199

composite cofactor 合成数の残り
2165933900480633745246039579071993189452459208926674143321052403076170590769518913286221965185708217597244513944634289109905728873288828019914237868787808867349525801813008430429689147859484682978091<199>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:31:14 UTC 2016 年 1 月 4 日 (月) 18 時 31 分 14 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 7, 2016 19:22:59 UTC 2016 年 1 月 8 日 (金) 4 時 22 分 59 秒 (日本時間)

17×10261+19

c252

composite cofactor 合成数の残り
997681724477926051551348187587766534467552778477253901988258317705797920548777935926117953639913543246895667054132855459703266270190731130535339291622281266587755288892590264611837889177178471809588030078433286931091771988702927523852276684762018589341<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:31:28 UTC 2016 年 1 月 4 日 (月) 18 時 31 分 28 秒 (日本時間)

17×10262+19

c214

composite cofactor 合成数の残り
1753127422480989467461456834223643824200136152240935765863265765033634065179878514755420506090722503549955548044681175940616771224106015621446813393801225143341438942207657654892876063251876586077804183327397031281<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:31:42 UTC 2016 年 1 月 4 日 (月) 18 時 31 分 42 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 8, 2016 10:46:36 UTC 2016 年 1 月 8 日 (金) 19 時 46 分 36 秒 (日本時間)

17×10263+19

c225

composite cofactor 合成数の残り
146926919067310695495777032769606164439092260887477319263842278623692636512976088514154958684562155324106851289390786353446566588781991610257752242592063033051649743835944006228207456603628229685260620372487826249742119586269<225>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 09:31:54 UTC 2016 年 1 月 4 日 (月) 18 時 31 分 54 秒 (日本時間)

17×10265+19

c198

name 名前Dmitry Domanov
date 日付January 8, 2016 10:45:27 UTC 2016 年 1 月 8 日 (金) 19 時 45 分 27 秒 (日本時間)
composite number 合成数
176414884290804571874851727113302319820117614867838993399603886261137926349894931624722559006941811426083460735597454236271888837351338531826800667712181406238062398227126613911841868795980380239739<198>
prime factors 素因数
413038604326031415466195744967426082037<39>
427114759838651164330760794130476946606929595006421228633930697368541889230135420499084019519311679168292395903145853353775955437305738653538852071722311632047<159>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3802666548
Step 1 took 66506ms
Step 2 took 21747ms
********** Factor found in step 2: 413038604326031415466195744967426082037
Found probable prime factor of 39 digits: 413038604326031415466195744967426082037

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:32:14 UTC 2016 年 1 月 4 日 (月) 18 時 32 分 14 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 7, 2016 19:23:15 UTC 2016 年 1 月 8 日 (金) 4 時 23 分 15 秒 (日本時間)

17×10266+19

c263

composite cofactor 合成数の残り
68661900722969425259501595379457974877822206066480875641180984692435074114463427440526677167898541944343471061028312936709883274768770951977058847287854921442707702249686982511409992326022860374005412173351104648814572478694616099196251868007593198432893089381639<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 09:32:26 UTC 2016 年 1 月 4 日 (月) 18 時 32 分 26 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovFebruary 3, 2016 16:31:35 UTC 2016 年 2 月 4 日 (木) 1 時 31 分 35 秒 (日本時間)

17×10270+19

c236

composite cofactor 合成数の残り
46733486685384507367972382150779985300152927609677930767843802730945850427479110084379580739586878675499291584190368816080903196806644904775806556590171873925518510151977828600909839955585729523952453057774964935904085116638834083569271<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:29:19 UTC 2016 年 1 月 5 日 (火) 7 時 29 分 19 秒 (日本時間)

17×10272+19

c254

composite cofactor 合成数の残り
41234879563600206291634157693844939501084103469900147737617045730658198896751299436856647068695632961077022117546188172485294458592102307553484732427292191279152494690434733433901300672237198165943342600191102623147261222942620095295952274090298095161843<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:29:33 UTC 2016 年 1 月 5 日 (火) 7 時 29 分 33 秒 (日本時間)

17×10273+19

c267

composite cofactor 合成数の残り
130938123826288950847268634973217030394674386039032177173576899193750042988141388557365112724592290839267699428024534138137579413298154418672201621419110929060905537101367450755731333054774028256770615901432306719135267377227813010531114529828501789735447762208541653<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 18:41:13 UTC 2016 年 1 月 5 日 (火) 3 時 41 分 13 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 15:43:51 UTC 2016 年 1 月 24 日 (日) 0 時 43 分 51 秒 (日本時間)

17×10274+19

c263

composite cofactor 合成数の残り
10677393117291237403292169820915782289338880016912969312855151956694143626224830761574233746190918929634374576332122237928238649684305661054027919340395435310930156872567845766437552330806837909151210604055635159677985506389279617540280700376862845034793923149581<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 18:41:55 UTC 2016 年 1 月 5 日 (火) 3 時 41 分 55 秒 (日本時間)

17×10275+19

c183

composite cofactor 合成数の残り
265190210574627176089343009216400305464186702124018651771754466503883342243037308408643518947234736177002154847432438368532899257679864110308344874057180924915114374184345458818707771<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:29:46 UTC 2016 年 1 月 5 日 (火) 7 時 29 分 46 秒 (日本時間)
4511e61400600Dmitry DomanovJanuary 7, 2016 19:23:29 UTC 2016 年 1 月 8 日 (金) 4 時 23 分 29 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:37 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 37 秒 (日本時間)
5043e6600 / 6922Dmitry DomanovFebruary 11, 2016 14:26:18 UTC 2016 年 2 月 11 日 (木) 23 時 26 分 18 秒 (日本時間)
5511e7120 / 17462Dmitry DomanovFebruary 27, 2016 21:13:29 UTC 2016 年 2 月 28 日 (日) 6 時 13 分 29 秒 (日本時間)

17×10277+19

c206

composite cofactor 合成数の残り
37367151545174087326653959583191982064908109820034447950963937644670370411625752368777566870004825737748072871459767742651385825634727161035022724461009053973374561467102059908070471276370167317788301833991<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:30:01 UTC 2016 年 1 月 5 日 (火) 7 時 30 分 1 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 8, 2016 10:46:56 UTC 2016 年 1 月 8 日 (金) 19 時 46 分 56 秒 (日本時間)

17×10278+19

c191

name 名前Serge Batalov
date 日付January 2, 2016 02:05:47 UTC 2016 年 1 月 2 日 (土) 11 時 5 分 47 秒 (日本時間)
composite number 合成数
39177835181085473934958110466688886438654651251361875938070539920084162103074327438246807697739667711830927297290280620038498093454081685681298358383752490968258463600848484924501766856791163<191>
prime factors 素因数
49624791410174112815213939760680203<35>
composite cofactor 合成数の残り
789481105467240394333518387530176703449832388652576710249535911038178623310990289897695152793060940438343365739560306585376472140204861434996411889260682321<156>
factorization results 素因数分解の結果
Using B1=11000000, B2=11000000-58553269330, polynomial Dickson(12), sigma=1702093970
Step 1 took 67800ms
Step 2 took 30436ms
********** Factor found in step 2: 49624791410174112815213939760680203
Found probable prime factor of 35 digits: 49624791410174112815213939760680203
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:30:14 UTC 2016 年 1 月 5 日 (火) 7 時 30 分 14 秒 (日本時間)
4511e64490170Serge BatalovJanuary 2, 2016 02:05:30 UTC 2016 年 1 月 2 日 (土) 11 時 5 分 30 秒 (日本時間)
720Dmitry DomanovJanuary 7, 2016 19:24:48 UTC 2016 年 1 月 8 日 (金) 4 時 24 分 48 秒 (日本時間)
400Dmitry DomanovMarch 1, 2016 13:09:51 UTC 2016 年 3 月 1 日 (火) 22 時 9 分 51 秒 (日本時間)
3200Lionel DebrouxDecember 19, 2017 22:25:49 UTC 2017 年 12 月 20 日 (水) 7 時 25 分 49 秒 (日本時間)

17×10279+19

c274

composite cofactor 合成数の残り
2132383644918485872143029256679911277788251544504289164267421480303234989053973013305195903966973642107502490812248762872541534129615560078717569423826176113063496489532065969929125839359512231039001422299891160630076719400514205500822284763780184360872566370127362257737699<274>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:30:27 UTC 2016 年 1 月 5 日 (火) 7 時 30 分 27 秒 (日本時間)
4511e6800 / 4306Dmitry DomanovJanuary 23, 2016 11:34:44 UTC 2016 年 1 月 23 日 (土) 20 時 34 分 44 秒 (日本時間)

17×10280+19

c241

composite cofactor 合成数の残り
1527207142714230718347689805131865984537170660408587994162589519346435633397633736164685416609783648647675478692854294790160985749071636135452141225988863293108529559211294420179068080542270844554110497752865778316576258954106370827565412553<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:30:40 UTC 2016 年 1 月 5 日 (火) 7 時 30 分 40 秒 (日本時間)

17×10281+19

c244

composite cofactor 合成数の残り
3157988813247690733172633855266484511546255737849613541709575190409545335421495108061710338946543379992066379364775392148124872016206135328178395079619564629462302067876851702501488688699999798599106512756621952187156123241013475097959134835513<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:30:53 UTC 2016 年 1 月 5 日 (火) 7 時 30 分 53 秒 (日本時間)

17×10283+19

c198

composite cofactor 合成数の残り
134502985181771871456253775030686315336363239772693346199523198999221833688162427544268969812628654080302316429701031837885767162966173737193987092301020048576916145883174108884689650928625489795367<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:31:05 UTC 2016 年 1 月 5 日 (火) 7 時 31 分 5 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 7, 2016 19:23:54 UTC 2016 年 1 月 8 日 (金) 4 時 23 分 54 秒 (日本時間)

17×10284+19

c233

composite cofactor 合成数の残り
22381866378547974974192514043339838033588576004402275827198685155182493410049296818956566245509661058755861976446811524680451324169872387992652332692544448530246008243561489291872412449072949993770721137843693499002810664819318798359<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:31:20 UTC 2016 年 1 月 5 日 (火) 7 時 31 分 20 秒 (日本時間)

17×10285+19

c231

composite cofactor 合成数の残り
167470244013008367229552694734502203296370886432581406218828537018015566145917329122756116011517101507803582124592082778282759044415967219154080487024215918893818850393193987240881888467975454746860772615338142836141638035951038673<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:31:32 UTC 2016 年 1 月 5 日 (火) 7 時 31 分 32 秒 (日本時間)

17×10286+19

c233

composite cofactor 合成数の残り
76567807609187583278617273339792426797382813396950433972426083450621778721128960408430386545289836243313029877578883134634223972585024825709376360756371059342259456802198772856264657780169474407052435809348661890442820136991841384291<233>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:32:20 UTC 2016 年 1 月 5 日 (火) 7 時 32 分 20 秒 (日本時間)

17×10287+19

c204

composite cofactor 合成数の残り
296694337704527668561604882723936887728804583419425064363482716286434089093049557242296446234489193648719452693920955102335484263429459793632911218482357031109814811912901278891945487128940248129433501577<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:32:34 UTC 2016 年 1 月 5 日 (火) 7 時 32 分 34 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 8, 2016 10:47:13 UTC 2016 年 1 月 8 日 (金) 19 時 47 分 13 秒 (日本時間)

17×10288+19

c275

composite cofactor 合成数の残り
45447341556936542525923487690362318574526600543376350893703120591762704936980835019042175794675742858341860625053481140106195980382907032584011679911998848206005385838115846646126620852260473625040373539164375777296174865453655145692069601005378467411015025739424586398321383<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:32:45 UTC 2016 年 1 月 5 日 (火) 7 時 32 分 45 秒 (日本時間)

17×10289+19

c264

composite cofactor 合成数の残り
100520640841132173746635724879962929353586950649774377172498497793780385087611763612378435029815272461188861557385844932197559811219717230436415317820522121351989400733220662280623994329067576019345031859172790092881164946141710290110102601930310951950433389302687<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:32:56 UTC 2016 年 1 月 5 日 (火) 7 時 32 分 56 秒 (日本時間)

17×10290+19

c226

composite cofactor 合成数の残り
1705838991445682865533084787041711111017662082698361215465443819110118518627746163593603667099167239320432654846282228945105957724242099193586575033651823064338823519825838855972007142809500557901573854337606142456723925321801<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:33:08 UTC 2016 年 1 月 5 日 (火) 7 時 33 分 8 秒 (日本時間)

17×10292+19

c245

name 名前Dmitry Domanov
date 日付January 5, 2016 10:15:38 UTC 2016 年 1 月 5 日 (火) 19 時 15 分 38 秒 (日本時間)
composite number 合成数
28938638383627608787937426366386209136960663678544220011776689415234712950846627191806794778424389102594639193588683367873635270616479618559804135580064766420395320096472965142513639944097186842749167400113577468871962958014415917518085044459089<245>
prime factors 素因数
94705699540548596210679436949520463<35>
305563852270975766623443049815669315812213568231145934727234535863874993448609545085108715930144071931716050233659050600117747014850591365949977712560306369334942013439042054776344852625858762572054150374487903<210>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=367663731
Step 1 took 27576ms
Step 2 took 8925ms
********** Factor found in step 2: 94705699540548596210679436949520463
Found probable prime factor of 35 digits: 94705699540548596210679436949520463

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:33:23 UTC 2016 年 1 月 5 日 (火) 7 時 33 分 23 秒 (日本時間)

17×10293+19

c293

composite cofactor 合成数の残り
62962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<293>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 1, 2016 19:27:17 UTC 2016 年 1 月 2 日 (土) 4 時 27 分 17 秒 (日本時間)
4511e61200 / 4306Dmitry DomanovJanuary 13, 2016 06:17:27 UTC 2016 年 1 月 13 日 (水) 15 時 17 分 27 秒 (日本時間)

17×10294+19

c242

composite cofactor 合成数の残り
57216565637298057154352711236445973646024555665497026575191617437248092768120405757882578010398906547340425082095938989179706891517524312338274532749086824304101146899200969681170606511493068721519547658627378804871281543378303930203212427881<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:33:39 UTC 2016 年 1 月 5 日 (火) 7 時 33 分 39 秒 (日本時間)

17×10295+19

c271

composite cofactor 合成数の残り
1589399638158039942279439525401005108519882677371724781985494247051043116881438246736236002202895802204886765571098348867604001011076626151313896293392943516636049044907960061889679052301372387389328846652574519255774509516752888880641939983806270617740439940722806309311<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:33:53 UTC 2016 年 1 月 5 日 (火) 7 時 33 分 53 秒 (日本時間)

17×10296+19

c287

composite cofactor 合成数の残り
18469062990527710292438151168766985420006268914288068617568433063813783238045132353020550783663607641293400304468932805600947876108254309983564238198378175534973324737899644433254912656521609735848822785026156722949568758701249998893173499325750020614274533302929696553844900499102605487<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600 / 2104Dmitry DomanovJanuary 4, 2016 22:34:10 UTC 2016 年 1 月 5 日 (火) 7 時 34 分 10 秒 (日本時間)

17×10298+19

c245

name 名前Dmitry Domanov
date 日付January 13, 2016 06:14:26 UTC 2016 年 1 月 13 日 (水) 15 時 14 分 26 秒 (日本時間)
composite number 合成数
72368235011724588453825444294254111222176237657522537702689744815312701322299036481073252245124423980448393893745931275086354830229686406967255276632174790939714679615322685756972511155644266165080509122406792776017311872976162883249903625718171<245>
prime factors 素因数
40942131028534830270082473090469541355453797<44>
1767573724027388126154115573890860262100165751399284044697010829911789770993198517270369184481304806220383862230731559666769210508631130038516686616565655599415698933654410479132679786451883956026751743<202>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=277513058
Step 1 took 95367ms
Step 2 took 28480ms
********** Factor found in step 2: 40942131028534830270082473090469541355453797
Found probable prime factor of 44 digits: 40942131028534830270082473090469541355453797

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 4, 2016 22:34:23 UTC 2016 年 1 月 5 日 (火) 7 時 34 分 23 秒 (日本時間)
4511e6600 / 4306Dmitry DomanovJanuary 12, 2016 14:35:49 UTC 2016 年 1 月 12 日 (火) 23 時 35 分 49 秒 (日本時間)

17×10300+19

c265

name 名前Dmitry Domanov
date 日付January 6, 2016 16:21:24 UTC 2016 年 1 月 7 日 (木) 1 時 21 分 24 秒 (日本時間)
composite number 合成数
2582220358929721170381954792047489698322388116151170290497108576748572602733548450041551524513620775422563886045728638143811251999425557982337039040981425874940702123827974074067592175930192363585655225588409665304850352461127027934598962531346632934814146980317217<265>
prime factors 素因数
91304793011707073637961149055428738739<38>
composite cofactor 合成数の残り
28281323178714502286312249081188224174930817698556491199156427721159740984764734638133449004673411554965416961413913204408274687529748816213714609341930145159890278656807626254410518498519768800694126121677498359960243001559003<227>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2428965086
Step 1 took 108039ms
Step 2 took 30637ms
********** Factor found in step 2: 91304793011707073637961149055428738739
Found probable prime factor of 38 digits: 91304793011707073637961149055428738739

c227

name 名前Dmitry Domanov
date 日付January 15, 2016 06:19:46 UTC 2016 年 1 月 15 日 (金) 15 時 19 分 46 秒 (日本時間)
composite number 合成数
28281323178714502286312249081188224174930817698556491199156427721159740984764734638133449004673411554965416961413913204408274687529748816213714609341930145159890278656807626254410518498519768800694126121677498359960243001559003<227>
prime factors 素因数
310948280479835930806453335116420666736012342049<48>
composite cofactor 合成数の残り
90951855836194153839917275434750056905282216722150138542972419453153813492316436858377992813500251755910470191744744591856963729010419086693803977250595821199179648900360211732347<179>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=700013237
Step 1 took 399020ms
Step 2 took 106332ms
********** Factor found in step 2: 310948280479835930806453335116420666736012342049
Found probable prime factor of 48 digits: 310948280479835930806453335116420666736012342049

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904Makoto KamadaJanuary 1, 2016 05:00:00 UTC 2016 年 1 月 1 日 (金) 14 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovJanuary 1, 2016 14:37:50 UTC 2016 年 1 月 1 日 (金) 23 時 37 分 50 秒 (日本時間)
4511e6800Dmitry DomanovJanuary 6, 2016 09:20:54 UTC 2016 年 1 月 6 日 (水) 18 時 20 分 54 秒 (日本時間)
5043e61000 / 7346600Dmitry DomanovJanuary 12, 2016 14:32:53 UTC 2016 年 1 月 12 日 (火) 23 時 32 分 53 秒 (日本時間)
400Dmitry DomanovJanuary 14, 2016 14:19:13 UTC 2016 年 1 月 14 日 (木) 23 時 19 分 13 秒 (日本時間)