Table of contents 目次

64×10108+179

c96

name 名前Dmitry Domanov
date 日付October 23, 2009 05:19:41 UTC 2009 年 10 月 23 日 (金) 14 時 19 分 41 秒 (日本時間)
composite number 合成数
633904884292685183921845263177093156427638567190056943304369860206601718459519750575711212953813<96>
prime factors 素因数
433190132097380420384996916362442135529201421<45>
1463341007385146117446818610976026834508899289208553<52>
factorization results 素因数分解の結果
Number: snfs96
N=633904884292685183921845263177093156427638567190056943304369860206601718459519750575711212953813
  ( 96 digits)
SNFS difficulty: 110 digits.
Divisors found:
 r1=433190132097380420384996916362442135529201421 (pp45)
 r2=1463341007385146117446818610976026834508899289208553 (pp52)
Version: Msieve-1.40
Total time: 0.66 hours.
Scaled time: 1.29 units (timescale=1.963).
Factorization parameters were as follows:
n: 633904884292685183921845263177093156427638567190056943304369860206601718459519750575711212953813
m: 4000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 480000
alim: 480000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2Factor base limits: 480000/480000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [240000, 390001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 45435 x 45665
Total sieving time: 0.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,110.000,5,0,0,0,0,0,0,0,0,480000,480000,25,25,44,44,2.2,2.2,50000
total time: 0.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10110+179

c108

name 名前Robert Backstrom
date 日付October 23, 2009 02:20:30 UTC 2009 年 10 月 23 日 (金) 11 時 20 分 30 秒 (日本時間)
composite number 合成数
313402869595024729445178982420057783654081582684491454874883698153861221291807453111992556681847118162675677<108>
prime factors 素因数
6107263899343395071821741879117103<34>
51316411859772317742603311829444405836304533254101354511869738454046382259<74>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.1] [ECM]
Input number is 313402869595024729445178982420057783654081582684491454874883698153861221291807453111992556681847118162675677 (108 digits)
Using B1=1636000, B2=2140202620, polynomial Dickson(6), sigma=2170076982
Step 1 took 12735ms
Step 2 took 5781ms
********** Factor found in step 2: 6107263899343395071821741879117103
Found probable prime factor of 34 digits: 6107263899343395071821741879117103
Probable prime cofactor 51316411859772317742603311829444405836304533254101354511869738454046382259 has 74 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10111+179

c101

name 名前Dmitry Domanov
date 日付October 23, 2009 06:02:10 UTC 2009 年 10 月 23 日 (金) 15 時 2 分 10 秒 (日本時間)
composite number 合成数
63812297268993815940902221849348184534482795624962936864923878115416909012601683655932390427220997009<101>
prime factors 素因数
54782810780936906708981933325626845098262652917<47>
1164823351692625310889945891417246864769307437537167277<55>
factorization results 素因数分解の結果
Number: snfs101
N=63812297268993815940902221849348184534482795624962936864923878115416909012601683655932390427220997009
  ( 101 digits)
SNFS difficulty: 112 digits.
Divisors found:
 r1=54782810780936906708981933325626845098262652917 (pp47)
 r2=1164823351692625310889945891417246864769307437537167277 (pp55)
Version: Msieve-1.40
Total time: 0.66 hours.
Scaled time: 1.30 units (timescale=1.963).
Factorization parameters were as follows:
n: 63812297268993815940902221849348184534482795624962936864923878115416909012601683655932390427220997009
m: 20000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 530000
alim: 530000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2Factor base limits: 530000/530000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [265000, 415001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 50310 x 50535
Total sieving time: 0.64 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,112.000,5,0,0,0,0,0,0,0,0,530000,530000,25,25,45,45,2.2,2.2,50000
total time: 0.66 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10112+179

c104

name 名前Serge Batalov
date 日付October 24, 2009 05:15:11 UTC 2009 年 10 月 24 日 (土) 14 時 15 分 11 秒 (日本時間)
composite number 合成数
70905184092065074290517207895425949239199622454800155665817260340412126130088665932279295576419634200707<104>
prime factors 素因数
29421594806177130768713735992366864817252927<44>
2409970790474565626502863955858891453277441083926831383294141<61>
factorization results 素因数分解の結果
SNFS difficulty: 114 digits.
Divisors found:
 r1=29421594806177130768713735992366864817252927 (pp44)
 r2=2409970790474565626502863955858891453277441083926831383294141 (pp61)
Version: Msieve v. 1.44 SVN130
Total time: 0.49 hours.
Scaled time: 1.17 units (timescale=2.400).
Factorization parameters were as follows:
#res 5444
n: 70905184092065074290517207895425949239199622454800155665817260340412126130088665932279295576419634200707
m: 40000000000000000000000
deg: 5
c5: 25
c0: 68
skew: 1.22
type: snfs
lss: 1
rlim: 560000
alim: 560000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 560000/560000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [350000, 500001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 52873 x 53108
Total sieving time: 0.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,114.000,5,0,0,0,0,0,0,0,0,560000,560000,25,25,45,45,2.2,2.2,50000
total time: 0.49 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10119+179

c119

name 名前Dmitry Domanov
date 日付October 23, 2009 11:23:03 UTC 2009 年 10 月 23 日 (金) 20 時 23 分 3 秒 (日本時間)
composite number 合成数
54700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854701<119>
prime factors 素因数
488727793725958700489283586125677588925075041<45>
111924992609539966693906747228138885053736779654620027718067011364684909261<75>
factorization results 素因数分解の結果
Number: s119
N=54700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854701
  ( 119 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=488727793725958700489283586125677588925075041 (pp45)
 r2=111924992609539966693906747228138885053736779654620027718067011364684909261 (pp75)
Version: Msieve-1.40
Total time: 1.49 hours.
Scaled time: 2.93 units (timescale=1.975).
Factorization parameters were as follows:
n: 54700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854700854701
m: 2000000000000000000000000
deg: 5
c5: 1
c0: 85
skew: 2.43
type: snfs
lss: 1
rlim: 740000
alim: 740000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 740000/740000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [370000, 670001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 63745 x 63970
Total sieving time: 1.46 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,740000,740000,25,25,46,46,2.2,2.2,50000
total time: 1.49 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10120+179

c91

name 名前Erik Branger
date 日付October 23, 2009 12:41:36 UTC 2009 年 10 月 23 日 (金) 21 時 41 分 36 秒 (日本時間)
composite number 合成数
7475871655824512827094195598536550953335744647383126234581928937795878542508172953298632467<91>
prime factors 素因数
2483220410140889475298484044606681873376039<43>
3010555013680947198263188604057952229055006361653<49>
factorization results 素因数分解の結果
Number: 71113_120
N=7475871655824512827094195598536550953335744647383126234581928937795878542508172953298632467
  ( 91 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=2483220410140889475298484044606681873376039 (pp43)
 r2=3010555013680947198263188604057952229055006361653 (pp49)
Version: Msieve v. 1.41
Total time: 2.33 hours.
Scaled time: 1.82 units (timescale=0.778).
Factorization parameters were as follows:
n: 7475871655824512827094195598536550953335744647383126234581928937795878542508172953298632467
m: 2000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 750000
alim: 750000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 750000/750000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [375000, 625001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 83122 x 83348
Total sieving time: 2.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,750000,750000,25,25,46,46,2.2,2.2,50000
total time: 2.33 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10128+179

c124

name 名前Erik Branger
date 日付October 23, 2009 12:39:02 UTC 2009 年 10 月 23 日 (金) 21 時 39 分 2 秒 (日本時間)
composite number 合成数
5861788193442674001229143711812510704632736072070685838377676845112321936734819113459490006109082382853536810655998212154601<124>
prime factors 素因数
9945734072532744106094589386357869<34>
589377128997571574070207750719380203511023715515564916726810532898128176314108510769595629<90>
factorization results 素因数分解の結果
Number: 71113_128
N=5861788193442674001229143711812510704632736072070685838377676845112321936734819113459490006109082382853536810655998212154601
  ( 124 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=9945734072532744106094589386357869 (pp34)
 r2=589377128997571574070207750719380203511023715515564916726810532898128176314108510769595629 (pp90)
Version: Msieve-1.40
Total time: 2.34 hours.
Scaled time: 2.06 units (timescale=0.882).
Factorization parameters were as follows:
n: 5861788193442674001229143711812510704632736072070685838377676845112321936734819113459490006109082382853536810655998212154601
m: 40000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 1030000
alim: 1030000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1030000/1030000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [515000, 865001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 168923 x 169147
Total sieving time: 2.19 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,1030000,1030000,26,26,47,47,2.3,2.3,50000
total time: 2.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10129+179

c93

name 名前Sinkiti Sibata
date 日付October 23, 2009 13:48:19 UTC 2009 年 10 月 23 日 (金) 22 時 48 分 19 秒 (日本時間)
composite number 合成数
694230883372368712626881565996878478687550383836869743633600004878384701569568055066881896397<93>
prime factors 素因数
90121920285179397280256156598295853120418907<44>
7703241133517384550461381620028772328027196622071<49>
factorization results 素因数分解の結果
Fri Oct 23 19:53:21 2009  Msieve v. 1.42
Fri Oct 23 19:53:21 2009  random seeds: 2d359c10 ab5736ee
Fri Oct 23 19:53:21 2009  factoring 694230883372368712626881565996878478687550383836869743633600004878384701569568055066881896397 (93 digits)
Fri Oct 23 19:53:22 2009  searching for 15-digit factors
Fri Oct 23 19:53:23 2009  commencing quadratic sieve (93-digit input)
Fri Oct 23 19:53:23 2009  using multiplier of 5
Fri Oct 23 19:53:23 2009  using 32kb Intel Core sieve core
Fri Oct 23 19:53:23 2009  sieve interval: 36 blocks of size 32768
Fri Oct 23 19:53:23 2009  processing polynomials in batches of 6
Fri Oct 23 19:53:23 2009  using a sieve bound of 1944721 (72941 primes)
Fri Oct 23 19:53:23 2009  using large prime bound of 243090125 (27 bits)
Fri Oct 23 19:53:23 2009  using double large prime bound of 1242742353333750 (42-51 bits)
Fri Oct 23 19:53:23 2009  using trial factoring cutoff of 51 bits
Fri Oct 23 19:53:23 2009  polynomial 'A' values have 12 factors
Fri Oct 23 22:31:03 2009  73411 relations (18165 full + 55246 combined from 994698 partial), need 73037
Fri Oct 23 22:31:05 2009  begin with 1012863 relations
Fri Oct 23 22:31:06 2009  reduce to 188691 relations in 10 passes
Fri Oct 23 22:31:06 2009  attempting to read 188691 relations
Fri Oct 23 22:31:09 2009  recovered 188691 relations
Fri Oct 23 22:31:09 2009  recovered 170591 polynomials
Fri Oct 23 22:31:09 2009  attempting to build 73411 cycles
Fri Oct 23 22:31:09 2009  found 73411 cycles in 5 passes
Fri Oct 23 22:31:09 2009  distribution of cycle lengths:
Fri Oct 23 22:31:09 2009     length 1 : 18165
Fri Oct 23 22:31:09 2009     length 2 : 13171
Fri Oct 23 22:31:09 2009     length 3 : 12398
Fri Oct 23 22:31:09 2009     length 4 : 10001
Fri Oct 23 22:31:09 2009     length 5 : 7388
Fri Oct 23 22:31:09 2009     length 6 : 4931
Fri Oct 23 22:31:09 2009     length 7 : 3103
Fri Oct 23 22:31:09 2009     length 9+: 4254
Fri Oct 23 22:31:09 2009  largest cycle: 22 relations
Fri Oct 23 22:31:09 2009  matrix is 72941 x 73411 (18.4 MB) with weight 4529616 (61.70/col)
Fri Oct 23 22:31:09 2009  sparse part has weight 4529616 (61.70/col)
Fri Oct 23 22:31:10 2009  filtering completed in 3 passes
Fri Oct 23 22:31:10 2009  matrix is 69213 x 69277 (17.4 MB) with weight 4281226 (61.80/col)
Fri Oct 23 22:31:10 2009  sparse part has weight 4281226 (61.80/col)
Fri Oct 23 22:31:11 2009  saving the first 48 matrix rows for later
Fri Oct 23 22:31:11 2009  matrix is 69165 x 69277 (10.2 MB) with weight 3257486 (47.02/col)
Fri Oct 23 22:31:11 2009  sparse part has weight 2253122 (32.52/col)
Fri Oct 23 22:31:11 2009  matrix includes 64 packed rows
Fri Oct 23 22:31:11 2009  using block size 27710 for processor cache size 1024 kB
Fri Oct 23 22:31:11 2009  commencing Lanczos iteration
Fri Oct 23 22:31:11 2009  memory use: 10.9 MB
Fri Oct 23 22:31:42 2009  lanczos halted after 1095 iterations (dim = 69159)
Fri Oct 23 22:31:42 2009  recovered 13 nontrivial dependencies
Fri Oct 23 22:31:43 2009  prp44 factor: 90121920285179397280256156598295853120418907
Fri Oct 23 22:31:43 2009  prp49 factor: 7703241133517384550461381620028772328027196622071
Fri Oct 23 22:31:43 2009  elapsed time 02:38:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10130+179

c111

name 名前Erik Branger
date 日付October 23, 2009 17:48:13 UTC 2009 年 10 月 24 日 (土) 2 時 48 分 13 秒 (日本時間)
composite number 合成数
392002502250658185901973161083526625449589937750275737553700107399876492854647059016885556452815419107060425543<111>
prime factors 素因数
501311136493860382206840311242822408732912729612367501<54>
781954506321762288842405664687450652305558751607526123043<57>
factorization results 素因数分解の結果
Number: 71113_130
N=392002502250658185901973161083526625449589937750275737553700107399876492854647059016885556452815419107060425543
  ( 111 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=501311136493860382206840311242822408732912729612367501 (pp54)
 r2=781954506321762288842405664687450652305558751607526123043 (pp57)
Version: Msieve v. 1.41
Total time: 4.37 hours.
Scaled time: 3.45 units (timescale=0.789).
Factorization parameters were as follows:
n: 392002502250658185901973161083526625449589937750275737553700107399876492854647059016885556452815419107060425543
m: 200000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 1100000
alim: 1100000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1100000/1100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [550000, 950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 145871 x 146108
Total sieving time: 4.17 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.12 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,131.000,5,0,0,0,0,0,0,0,0,1100000,1100000,26,26,47,47,2.3,2.3,50000
total time: 4.37 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10134+179

c107

name 名前Jo Yeong Uk
date 日付October 23, 2009 11:35:34 UTC 2009 年 10 月 23 日 (金) 20 時 35 分 34 秒 (日本時間)
composite number 合成数
63886123513234388051995446841980835995324452787258192996393457188745439536452888704414805133551897486049879<107>
prime factors 素因数
10208742076409209802516091161404393<35>
6257981936958239643101695299355915454578456422592818381228632246736931903<73>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 63886123513234388051995446841980835995324452787258192996393457188745439536452888704414805133551897486049879 (107 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6549767235
Step 1 took 3573ms
Step 2 took 3556ms
********** Factor found in step 2: 10208742076409209802516091161404393
Found probable prime factor of 35 digits: 10208742076409209802516091161404393
Probable prime cofactor 6257981936958239643101695299355915454578456422592818381228632246736931903 has 73 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10136+179

c92

name 名前Dmitry Domanov
date 日付October 23, 2009 04:22:25 UTC 2009 年 10 月 23 日 (金) 13 時 22 分 25 秒 (日本時間)
composite number 合成数
95285388683954857710126813040472911888407431629029171998566805703742921828445711644538931881<92>
prime factors 素因数
5422249164127684148858996648996091821227445417<46>
17573037645400070249428839877166074647419899393<47>
factorization results 素因数分解の結果
Number: 92
N=95285388683954857710126813040472911888407431629029171998566805703742921828445711644538931881
  ( 92 digits)
Divisors found:
 r1=5422249164127684148858996648996091821227445417 (pp46)
 r2=17573037645400070249428839877166074647419899393 (pp47)
Version: Msieve-1.40
Total time: 2.77 hours.
Scaled time: 5.44 units (timescale=1.963).
Factorization parameters were as follows:
name: 92
n:  95285388683954857710126813040472911888407431629029171998566805703742921828445711644538931881
m:  1219925083891547904536
deg: 4
c4: 43022304
c3: 117357957168
c2: -116549645048442254
c1: -345234638576714221
c0: 178970559087716997950049
skew: 1635.250
type: gnfs
# adj. I(F,S) = 53.624
# E(F1,F2) = 8.591379e-005
# GGNFS version 0.77.1-VC8(Sat 01/17/2009) polyselect.
# Options were: 
# lcd=1, enumLCD=24, maxS1=58.00000000, seed=1256249799.
# maxskew=2000.0
# These parameters should be manually set:
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.4
alambda: 2.4
qintsize: 40000

type: gnfs
Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [350000, 910001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 130314 x 130562
Polynomial selection time: 0.17 hours.
Total sieving time: 2.52 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
gnfs,91,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,700000,700000,25,25,44,44,2.4,2.4,40000
total time: 2.77 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10138+179

c105

name 名前Erik Branger
date 日付October 25, 2009 16:01:38 UTC 2009 年 10 月 26 日 (月) 1 時 1 分 38 秒 (日本時間)
composite number 合成数
505112570660948178612268467748518628903549911512652796501301806603729962592526334904318991700411458767493<105>
prime factors 素因数
1025076302214321651403303364378397080819<40>
492756070518680163420363928894391737927860973928594193525801851047<66>
factorization results 素因数分解の結果
Number: 71113_138
N=505112570660948178612268467748518628903549911512652796501301806603729962592526334904318991700411458767493
  ( 105 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1025076302214321651403303364378397080819 (pp40)
 r2=492756070518680163420363928894391737927860973928594193525801851047 (pp66)
Version: Msieve-1.40
Total time: 5.34 hours.
Scaled time: 5.21 units (timescale=0.977).
Factorization parameters were as follows:
n: 505112570660948178612268467748518628903549911512652796501301806603729962592526334904318991700411458767493
m: 4000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1505001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 240146 x 240371
Total sieving time: 5.01 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 5.34 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10139+179

c102

name 名前Sinkiti Sibata
date 日付October 25, 2009 07:40:04 UTC 2009 年 10 月 25 日 (日) 16 時 40 分 4 秒 (日本時間)
composite number 合成数
125274211265476789012584372600934384359407136184462238841338702440456197293391775672309177070812020383<102>
prime factors 素因数
35340792430636249735607064473287711611151<41>
3544748225760749980193652509393545530287763093943914933592433<61>
factorization results 素因数分解の結果
Number: 71113_139
N=125274211265476789012584372600934384359407136184462238841338702440456197293391775672309177070812020383
  ( 102 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=35340792430636249735607064473287711611151 (pp41)
 r2=3544748225760749980193652509393545530287763093943914933592433 (pp61)
Version: GGNFS-0.77.1-20060513-k8
Total time: 8.57 hours.
Scaled time: 16.96 units (timescale=1.979).
Factorization parameters were as follows:
name: 71113_139
n: 125274211265476789012584372600934384359407136184462238841338702440456197293391775672309177070812020383
m: 20000000000000000000000000000
deg: 5
c5: 1
c0: 85
skew: 2.43
type: snfs
lss: 1
rlim: 1600000
alim: 1600000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1600000/1600000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [800000, 1500001)
Primes: RFBsize:121127, AFBsize:121640, largePrimes:3807169 encountered
Relations: rels:4056948, finalFF:533305
Max relations in full relation-set: 28
Initial matrix: 242831 x 533305 with sparse part having weight 45727150.
Pruned matrix : 171742 x 173020 with weight 14020652.
Total sieving time: 8.12 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,1600000,1600000,26,26,48,48,2.3,2.3,100000
total time: 8.57 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10141+179

c120

name 名前Sinkiti Sibata
date 日付October 25, 2009 13:52:23 UTC 2009 年 10 月 25 日 (日) 22 時 52 分 23 秒 (日本時間)
composite number 合成数
718620397638162294733305621236272925576662114980663962005049956604711481492309440291240165113252665825820512650449045277<120>
prime factors 素因数
23562641469567864876337026588185070376527483949<47>
30498295302175290423634367739758902230843046755702055066361643029047633073<74>
factorization results 素因数分解の結果
(ここに素因数分解ソフトウェアの出力結果を貼り付けてください。例:GGNFSのサマリファイル、B1とsigmaを含むGMP-E
number: 71113_141
N=718620397638162294733305621236272925576662114980663962005049956604711481492309440291240165113252665825820512650449045277
  ( 120 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=23562641469567864876337026588185070376527483949 (pp47)
 r2=30498295302175290423634367739758902230843046755702055066361643029047633073 (pp74)
Version: GGNFS-0.77.1-20060513-k8
Total time: 10.53 hours.
Scaled time: 20.20 units (timescale=1.919).
Factorization parameters were as follows:
name: 71113_141
n: 718620397638162294733305621236272925576662114980663962005049956604711481492309440291240165113252665825820512650449045277
m: 20000000000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 1680000
alim: 1680000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1680000/1680000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [840000, 1740001)
Primes: RFBsize:126753, AFBsize:126821, largePrimes:3769249 encountered
Relations: rels:3815360, finalFF:333077
Max relations in full relation-set: 28
Initial matrix: 253640 x 333077 with sparse part having weight 30096722.
Pruned matrix : 227339 x 228671 with weight 17309106.
Total sieving time: 9.84 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.49 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1680000,1680000,26,26,48,48,2.3,2.3,100000
total time: 10.53 hours.
 --------- CPU info (if available) ----------
CMの出力など)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10145+179

c105

name 名前Jo Yeong Uk
date 日付October 25, 2009 12:51:35 UTC 2009 年 10 月 25 日 (日) 21 時 51 分 35 秒 (日本時間)
composite number 合成数
466619293193467609106637409577082544935587703521242296864100906176497819573361078885346853164715843264203<105>
prime factors 素因数
1169813637472724608879846874031360720284904573943<49>
398883444547249357116524080979030956658275082357933999821<57>
factorization results 素因数分解の結果
Number: 71113_145
N=466619293193467609106637409577082544935587703521242296864100906176497819573361078885346853164715843264203
  ( 105 digits)
Divisors found:
 r1=1169813637472724608879846874031360720284904573943
 r2=398883444547249357116524080979030956658275082357933999821
Version: 
Total time: 4.96 hours.
Scaled time: 11.85 units (timescale=2.387).
Factorization parameters were as follows:
name: 71113_145
n: 466619293193467609106637409577082544935587703521242296864100906176497819573361078885346853164715843264203
skew: 6309.61
# norm 1.33e+14
c5: 31200
c4: -790565510
c3: -11376259783517
c2: 23289595609209357
c1: 16856853205610039493
c0: 20770263123537894491952
# alpha -4.99
Y1: 71362036229
Y0: -108383474337977239085
# Murphy_E 1.96e-09
# M 165076693542715147816953182526660278637643445471452452355295693622258007479330605559673783801438412873209
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7220317
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 288024 x 288272
Polynomial selection time: 0.33 hours.
Total sieving time: 3.86 hours.
Total relation processing time: 0.53 hours.
Matrix solve time: 0.18 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,104,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 4.96 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10146+179

c140

name 名前Robert Backstrom
date 日付October 24, 2009 16:47:57 UTC 2009 年 10 月 25 日 (日) 1 時 47 分 57 秒 (日本時間)
composite number 合成数
13245286697324579779982501279220476135398858805552173350901633259539081117631248358192387495398840924415131962718930283162354169988465569733<140>
prime factors 素因数
2851884250413709181276276969836114316460554033<46>
4644398416732077928294402657397906910999332994134532480822741775205785263948309822994189042901<94>
factorization results 素因数分解の結果
Number: n
N=13245286697324579779982501279220476135398858805552173350901633259539081117631248358192387495398840924415131962718930283162354169988465569733
  ( 140 digits)
SNFS difficulty: 147 digits.
Divisors found:

Sun Oct 25 04:44:32 2009  prp46 factor: 2851884250413709181276276969836114316460554033
Sun Oct 25 04:44:32 2009  prp94 factor: 4644398416732077928294402657397906910999332994134532480822741775205785263948309822994189042901
Sun Oct 25 04:44:32 2009  elapsed time 00:02:10 (Msieve 1.42 - dependency 1)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.35 hours.
Scaled time: 13.44 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_1_145_3
n: 13245286697324579779982501279220476135398858805552173350901633259539081117631248358192387495398840924415131962718930283162354169988465569733
m: 200000000000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [1000000, 2300323)
Primes: RFBsize:148933, AFBsize:148990, largePrimes:3965971 encountered
Relations: rels:3886206, finalFF:306420
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 553406 hash collisions in 4547224 relations
Msieve: matrix is 338967 x 339192 (89.4 MB)

Total sieving time: 7.26 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,49,49,2.3,2.3,100000
total time: 7.35 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10147+179

c138

name 名前Dmitry Domanov
date 日付October 24, 2009 14:45:38 UTC 2009 年 10 月 24 日 (土) 23 時 45 分 38 秒 (日本時間)
composite number 合成数
190702507120921179029693498224047177003466422091042164816733207692270771454237644049874031134578027075937711938152210610862622491960886401<138>
prime factors 素因数
107549954987785579928593402880636566882663688597<48>
1773152830631860446188329106257338288543867985415407300744686996376641282910154550813699133<91>
factorization results 素因数分解の結果
Number: s138
N=190702507120921179029693498224047177003466422091042164816733207692270771454237644049874031134578027075937711938152210610862622491960886401
  ( 138 digits)
SNFS difficulty: 149 digits.
Divisors found:
 r1=107549954987785579928593402880636566882663688597 (pp48)
 r2=1773152830631860446188329106257338288543867985415407300744686996376641282910154550813699133 (pp91)
Version: Msieve-1.40
Total time: 6.95 hours.
Scaled time: 13.17 units (timescale=1.894).
Factorization parameters were as follows:
n: 190702507120921179029693498224047177003466422091042164816733207692270771454237644049874031134578027075937711938152210610862622491960886401
m: 400000000000000000000000000000
deg: 5
c5: 25
c0: 68
skew: 1.22
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1100000, 2300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 324891 x 325117
Total sieving time: 6.76 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.13 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,149.000,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,49,49,2.3,2.3,100000
total time: 6.95 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10148+179

c146

name 名前Robert Backstrom
date 日付October 24, 2009 02:06:47 UTC 2009 年 10 月 24 日 (土) 11 時 6 分 47 秒 (日本時間)
composite number 合成数
32664727198489256367069871893023018424947685397846169550349614658296330322053794722605011994079518195273822283468585719389577910478232021640381769<146>
prime factors 素因数
13862318111733729004439259370064720101102185805867897760100165383<65>
2356368316987349258771784289940244839436834125337731025218453398175647281594404143<82>
factorization results 素因数分解の結果
Number: n
N=32664727198489256367069871893023018424947685397846169550349614658296330322053794722605011994079518195273822283468585719389577910478232021640381769
  ( 146 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=13862318111733729004439259370064720101102185805867897760100165383 (pp65)
 r2=2356368316987349258771784289940244839436834125337731025218453398175647281594404143 (pp82)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 12.47 hours.
Scaled time: 22.81 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_7_1_147_3
n: 32664727198489256367069871893023018424947685397846169550349614658296330322053794722605011994079518195273822283468585719389577910478232021640381769
m: 400000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
qintsize: 20000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved  special-q in [1100000, 1100000)
Primes: RFBsize:162662, AFBsize:162170, largePrimes:6640238 encountered
Relations: rels:6390194, finalFF:415657
Max relations in full relation-set: 28
Initial matrix: 324897 x 415657 with sparse part having weight 56474105.
Pruned matrix : 293478 x 295166 with weight 32001067.
Total sieving time: 11.21 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.07 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 12.47 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10150+179

c146

name 名前Dmitry Domanov
date 日付October 24, 2009 17:00:22 UTC 2009 年 10 月 25 日 (日) 2 時 0 分 22 秒 (日本時間)
composite number 合成数
24523017725926922173521041707139225218245278456950417140363239536622253182532101204961466292537377485494060256886274122123861930812137207816865169<146>
prime factors 素因数
181460493643859860267546457615776892302547113<45>
135142461223855023769374585953390591400230384542853999743362412572020686220483774158288305519116127913<102>
factorization results 素因数分解の結果
Number: s146
N=24523017725926922173521041707139225218245278456950417140363239536622253182532101204961466292537377485494060256886274122123861930812137207816865169
  ( 146 digits)
SNFS difficulty: 151 digits.
Divisors found:
 r1=181460493643859860267546457615776892302547113 (pp45)
 r2=135142461223855023769374585953390591400230384542853999743362412572020686220483774158288305519116127913 (pp102)
Version: Msieve-1.40
Total time: 11.57 hours.
Scaled time: 21.45 units (timescale=1.855).
Factorization parameters were as follows:
n: 24523017725926922173521041707139225218245278456950417140363239536622253182532101204961466292537377485494060256886274122123861930812137207816865169
m: 2000000000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 1900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 385402 x 385626
Total sieving time: 11.29 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,151.000,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,49,49,2.4,2.4,100000
total time: 11.57 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10151+179

c129

name 名前Jo Yeong Uk
date 日付November 7, 2009 11:24:13 UTC 2009 年 11 月 7 日 (土) 20 時 24 分 13 秒 (日本時間)
composite number 合成数
493070880170996278534516753255530271753988214548501769867880630567332323531819123807127232541599603419990823093435241101803308123<129>
prime factors 素因数
13630504369805610897121892199912194495690789284130587631<56>
36174074472493502044830834515488572039115437822520724375951219171660917333<74>
factorization results 素因数分解の結果
Number: 71113_151
N=493070880170996278534516753255530271753988214548501769867880630567332323531819123807127232541599603419990823093435241101803308123
  ( 129 digits)
SNFS difficulty: 152 digits.
Divisors found:
 r1=13630504369805610897121892199912194495690789284130587631
 r2=36174074472493502044830834515488572039115437822520724375951219171660917333
Version: 
Total time: 8.48 hours.
Scaled time: 20.14 units (timescale=2.374).
Factorization parameters were as follows:
n: 493070880170996278534516753255530271753988214548501769867880630567332323531819123807127232541599603419990823093435241101803308123
m: 2000000000000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1000000, 1800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7995257
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 358493 x 358741
Total sieving time: 7.81 hours.
Total relation processing time: 0.33 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,152,5,0,0,0,0,0,0,0,0,2000000,2000000,27,27,50,50,2.4,2.4,100000
total time: 8.48 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10152+179

c144

name 名前Jo Yeong Uk
date 日付October 26, 2009 23:12:45 UTC 2009 年 10 月 27 日 (火) 8 時 12 分 45 秒 (日本時間)
composite number 合成数
746633109353561737237420791374811444472516566080481664330335589383152179299440880191222604195404494840956714093295250625621585698340692598988909<144>
prime factors 素因数
283694462391482906919275678331316889<36>
2631821231403694835169657384499841538907632715198481209702013976288681679080749181540420214573026569499688181<109>
factorization results 素因数分解の結果
GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM]
Input number is 746633109353561737237420791374811444472516566080481664330335589383152179299440880191222604195404494840956714093295250625621585698340692598988909 (144 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5550384773
Step 1 took 4836ms
Step 2 took 4587ms
********** Factor found in step 2: 283694462391482906919275678331316889
Found probable prime factor of 36 digits: 283694462391482906919275678331316889
Probable prime cofactor 2631821231403694835169657384499841538907632715198481209702013976288681679080749181540420214573026569499688181 has 109 digits
execution environment 実行環境
Core 2 Quad Q6600

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10154+179

c121

name 名前Jo Yeong Uk
date 日付November 9, 2009 22:42:26 UTC 2009 年 11 月 10 日 (火) 7 時 42 分 26 秒 (日本時間)
composite number 合成数
3422412186276692664840006343775380636492433642471949424208317432860971893505957363340221351729755835795279923807232709247<121>
prime factors 素因数
371458155915584869438887303244455043<36>
9213452798851581780246903010130941751346807705140375743997570945393621607222482291029<85>
factorization results 素因数分解の結果
Number: 71113_154
N=3422412186276692664840006343775380636492433642471949424208317432860971893505957363340221351729755835795279923807232709247
  ( 121 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=371458155915584869438887303244455043
 r2=9213452798851581780246903010130941751346807705140375743997570945393621607222482291029
Version: 
Total time: 9.13 hours.
Scaled time: 21.70 units (timescale=2.377).
Factorization parameters were as follows:
n: 3422412186276692664840006343775380636492433642471949424208317432860971893505957363340221351729755835795279923807232709247
m: 20000000000000000000000000000000
deg: 5
c5: 1
c0: 85
skew: 2.43
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2600000/2600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1300000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8251407
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 418737 x 418985
Total sieving time: 8.36 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.39 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2600000,2600000,27,27,50,50,2.4,2.4,100000
total time: 9.13 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10156+179

c114

name 名前Jo Yeong Uk
date 日付November 12, 2009 01:02:53 UTC 2009 年 11 月 12 日 (木) 10 時 2 分 53 秒 (日本時間)
composite number 合成数
824010346996428501902929446579336446349065675339870767096387628080340800443117481808771174671282885478191223615959<114>
prime factors 素因数
1982357395654855011440038146861915074032606554692317687<55>
415671941297055391986742820832969759498307762414593330759457<60>
factorization results 素因数分解の結果
Number: 71113_156
N=824010346996428501902929446579336446349065675339870767096387628080340800443117481808771174671282885478191223615959
  ( 114 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=1982357395654855011440038146861915074032606554692317687
 r2=415671941297055391986742820832969759498307762414593330759457
Version: 
Total time: 12.24 hours.
Scaled time: 28.40 units (timescale=2.321).
Factorization parameters were as follows:
n: 824010346996428501902929446579336446349065675339870767096387628080340800443117481808771174671282885478191223615959
m: 20000000000000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8481172
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 485933 x 486180
Total sieving time: 11.15 hours.
Total relation processing time: 0.46 hours.
Matrix solve time: 0.51 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 12.24 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10160+179

c161

name 名前Dmitry Domanov
date 日付October 24, 2009 05:00:49 UTC 2009 年 10 月 24 日 (土) 14 時 0 分 49 秒 (日本時間)
composite number 合成数
10158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730159<161>
prime factors 素因数
131913096460266010557621868043636567<36>
77010777787254081793969654885395836435882049747648388057048074731510796864579726325788840724789541809298412181124172069193577<125>
factorization results 素因数分解の結果
C161=P36*P125
C161=131913096460266010557621868043636567<36>*77010777787254081793969654885395836435882049747648388057048074731510796864579726325788840724789541809298412181124172069193577<125>
software ソフトウェア
ECMNET

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10161+179

c135

name 名前Sinkiti Sibata
date 日付November 22, 2009 04:20:06 UTC 2009 年 11 月 22 日 (日) 13 時 20 分 6 秒 (日本時間)
composite number 合成数
283677771448474868630729904666453613625367285272102371126053240308003259939380549919808427192636724065025504641791378151488079652355511<135>
prime factors 素因数
1045053944364224676875037140958936245274636458765532056637397<61>
271447969722802002620888132932935879664564355019942468315186681947716233563<75>
factorization results 素因数分解の結果
Number: 71113_161
N=283677771448474868630729904666453613625367285272102371126053240308003259939380549919808427192636724065025504641791378151488079652355511
  ( 135 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=1045053944364224676875037140958936245274636458765532056637397 (pp61)
 r2=271447969722802002620888132932935879664564355019942468315186681947716233563 (pp75)
Version: Msieve-1.40
Total time: 27.72 hours.
Scaled time: 93.03 units (timescale=3.356).
Factorization parameters were as follows:
name: 71113_161
n: 283677771448474868630729904666453613625367285272102371126053240308003259939380549919808427192636724065025504641791378151488079652355511
m: 200000000000000000000000000000000
deg: 5
c5: 20
c0: 17
skew: 0.97
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 613486 x 613734
Total sieving time: 26.85 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.70 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,162.000,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 27.72 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10163+179

c164

name 名前Dmitry Domanov
date 日付October 24, 2009 04:59:22 UTC 2009 年 10 月 24 日 (土) 13 時 59 分 22 秒 (日本時間)
composite number 合成数
71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<164>
prime factors 素因数
2888653647017384944658914318490351960163173<43>
11446809117705912722904058389563035914239392318736582956591<59>
2150589649330390921462700175523316447389381808394324271813972091<64>
factorization results 素因数分解の結果
Number: snfs164
N=71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
  ( 164 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2888653647017384944658914318490351960163173 (pp43)
 r2=11446809117705912722904058389563035914239392318736582956591 (pp59)
 r3=2150589649330390921462700175523316447389381808394324271813972091 (pp64)
Version: Msieve-1.40
Total time: 33.78 hours.
Scaled time: 63.40 units (timescale=1.877).
Factorization parameters were as follows:
n: 71111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113
m: 400000000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 747981 x 748207
Total sieving time: 32.73 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.68 hours.
Time per square root: 0.29 hours.
Prototype def-par.txt line would be:
snfs,165.000,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 33.78 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10164+179

c144

name 名前Jo Yeong Uk
date 日付November 26, 2009 11:59:22 UTC 2009 年 11 月 26 日 (木) 20 時 59 分 22 秒 (日本時間)
composite number 合成数
872621256705554537562497017054806961902356913310789643713475531853359484917297314630534101155105898937701858021584802387719938765947681719989313<144>
prime factors 素因数
170993170796291589495847649921540863092737789<45>
5103252092711526530908951977517372031589485749269566130240786228969544705813538735808435514565812117<100>
factorization results 素因数分解の結果
Number: 71113_164
N=872621256705554537562497017054806961902356913310789643713475531853359484917297314630534101155105898937701858021584802387719938765947681719989313
  ( 144 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=170993170796291589495847649921540863092737789
 r2=5103252092711526530908951977517372031589485749269566130240786228969544705813538735808435514565812117
Version: 
Total time: 19.82 hours.
Scaled time: 47.16 units (timescale=2.379).
Factorization parameters were as follows:
n: 872621256705554537562497017054806961902356913310789643713475531853359484917297314630534101155105898937701858021584802387719938765947681719989313
m: 2000000000000000000000000000000000
deg: 5
c5: 1
c0: 85
skew: 2.43
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9460398
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 747913 x 748161
Total sieving time: 17.75 hours.
Total relation processing time: 0.75 hours.
Matrix solve time: 1.25 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 19.82 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.58 BogoMIPS (lpj=2673792)
Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672346)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672338)
Calibrating delay using timer specific routine.. 5344.76 BogoMIPS (lpj=2672382)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 8, 2009 07:01:41 UTC 2009 年 11 月 8 日 (日) 16 時 1 分 41 秒 (日本時間)

64×10165+179

c146

name 名前Sinkiti Sibata
date 日付December 1, 2009 14:30:34 UTC 2009 年 12 月 1 日 (火) 23 時 30 分 34 秒 (日本時間)
composite number 合成数
21971425558899150573132387261603048300262553608841156778721836305533945757037303446237424248823445658589807526596416410732844148519978705723280657<146>
prime factors 素因数
1337660330747353211919119280339282908153321059315073880180853<61>
16425265109434527326510048349197230485054669946738941787287566019735622487230213930669<86>
factorization results 素因数分解の結果
Number: 71113_165
N=21971425558899150573132387261603048300262553608841156778721836305533945757037303446237424248823445658589807526596416410732844148519978705723280657
  ( 146 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=1337660330747353211919119280339282908153321059315073880180853 (pp61)
 r2=16425265109434527326510048349197230485054669946738941787287566019735622487230213930669 (pp86)
Version: Msieve-1.40
Total time: 38.63 hours.
Scaled time: 129.65 units (timescale=3.356).
Factorization parameters were as follows:
name: 71113_165
n: 21971425558899150573132387261603048300262553608841156778721836305533945757037303446237424248823445658589807526596416410732844148519978705723280657
m: 2000000000000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4200000/4200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2100000, 4200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 759798 x 760046
Total sieving time: 37.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.09 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4200000,4200000,27,27,51,51,2.4,2.4,100000
total time: 38.63 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
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e60 / 1357--
4511e6276 / 4474Dmitry DomanovNovember 21, 2009 19:27:51 UTC 2009 年 11 月 22 日 (日) 4 時 27 分 51 秒 (日本時間)

64×10167+179

c164

name 名前Ignacio Santos
date 日付October 28, 2009 22:35:58 UTC 2009 年 10 月 29 日 (木) 7 時 35 分 58 秒 (日本時間)
composite number 合成数
92870721054082683963838462989566554931580398473437522673515882344405264608999753312147200092870721054082683963838462989566554931580398473437522673515882344405264609<164>
prime factors 素因数
147801285874676743702605376197388769702296463745069614255372510569<66>
628348532318111008341516309337363050902767140223828818956120842657819837747040849338498348275327161<99>
factorization results 素因数分解の結果
Number: 71113_167
N=92870721054082683963838462989566554931580398473437522673515882344405264608999753312147200092870721054082683963838462989566554931580398473437522673515882344405264609
  ( 164 digits)
SNFS difficulty: 169 digits.
Divisors found:
 r1=147801285874676743702605376197388769702296463745069614255372510569 (pp66)
 r2=628348532318111008341516309337363050902767140223828818956120842657819837747040849338498348275327161 (pp99)
Version: Msieve-1.40
Total time: 37.66 hours.
Scaled time: 65.68 units (timescale=1.744).
Factorization parameters were as follows:
n: 92870721054082683963838462989566554931580398473437522673515882344405264608999753312147200092870721054082683963838462989566554931580398473437522673515882344405264609
m: 4000000000000000000000000000000000
deg: 5
c5: 25
c0: 68
skew: 1.22
type: snfs
lss: 1
rlim: 4700000
alim: 4700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4700000/4700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2350000, 4250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 799987 x 800213
Total sieving time: 36.03 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.81 hours.
Time per square root: 0.72 hours.
Prototype def-par.txt line would be:
snfs,169.000,5,0,0,0,0,0,0,0,0,4700000,4700000,27,27,52,52,2.4,2.4,100000
total time: 37.66 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10168+179

c120

name 名前Sinkiti Sibata
date 日付November 25, 2009 22:46:57 UTC 2009 年 11 月 26 日 (木) 7 時 46 分 57 秒 (日本時間)
composite number 合成数
778911957261536368479252748237453420091363555395653283447916728689860273052859142998360002144908357965800974034629705197<120>
prime factors 素因数
27517303792264798529463417344429815937905759318469<50>
28306260058824912668648377802778355092603705182291293454402273353147913<71>
factorization results 素因数分解の結果
Number: 71113_168
N=778911957261536368479252748237453420091363555395653283447916728689860273052859142998360002144908357965800974034629705197
  ( 120 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=27517303792264798529463417344429815937905759318469 (pp50)
 r2=28306260058824912668648377802778355092603705182291293454402273353147913 (pp71)
Version: Msieve-1.40
Total time: 53.36 hours.
Scaled time: 178.43 units (timescale=3.344).
Factorization parameters were as follows:
name: 71113_168
n: 778911957261536368479252748237453420091363555395653283447916728689860273052859142998360002144908357965800974034629705197
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 963415 x 963663
Total sieving time: 51.24 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.77 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 53.36 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
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 18, 2009 04:15:17 UTC 2009 年 11 月 18 日 (水) 13 時 15 分 17 秒 (日本時間)

64×10169+179

c121

name 名前Lionel Debroux
date 日付January 1, 2010 12:55:33 UTC 2010 年 1 月 1 日 (金) 21 時 55 分 33 秒 (日本時間)
composite number 合成数
4640880470895180406541287284207998727769113724375278480765441945634379441468321836056956757836304479035506582005146797803<121>
prime factors 素因数
231924335560058036068128032834740849387435354611662486663<57>
20010321295901265214219913628882450684946907860653832984695078781<65>
factorization results 素因数分解の結果
Number: 71113_169
N=4640880470895180406541287284207998727769113724375278480765441945634379441468321836056956757836304479035506582005146797803
  ( 121 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=231924335560058036068128032834740849387435354611662486663 (pp57)
 r2=20010321295901265214219913628882450684946907860653832984695078781 (pp65)
Version: Msieve v. 1.44
Total time: 83.00 hours.
Scaled time: 124.67 units (timescale=1.502).
Factorization parameters were as follows:
n: 4640880470895180406541287284207998727769113724375278480765441945634379441468321836056956757836304479035506582005146797803
m: 4000000000000000000000000000000000
deg: 5
c5: 625
c0: 17
skew: 0.49
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 5050001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 909663 x 909888
Total sieving time: 80.61 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 2.06 hours.
Time per square root: 0.21 hours.
Prototype def-par.txt line would be:
snfs,170.000,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 83.00 hours.
 --------- CPU info (if available) ----------
[    0.030036] CPU0: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.102107] CPU1: Intel(R) Core(TM)2 CPU         T7200  @ 2.00GHz stepping 06
[    0.000000] Memory: 2051108k/2096800k available (7384k kernel code, 452k absent, 44552k reserved, 3471k data, 780k init)
[    0.001009] Calibrating delay loop (skipped), value calculated using timer frequency.. 3989.98 BogoMIPS (lpj=1994992)
[    0.001999] Calibrating delay using timer specific routine.. 3949.27 BogoMIPS (lpj=1974635)
[    0.103028] Total of 2 processors activated (7939.25 BogoMIPS).
software ソフトウェア
ggnfs + msieve
execution environment 実行環境
Core 2 Duo T7200, 2 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiOctober 26, 2009 00:41:42 UTC 2009 年 10 月 26 日 (月) 9 時 41 分 42 秒 (日本時間)
4511e60 / 3787--
5043e650 / 7465Lionel DebrouxDecember 25, 2009 07:07:41 UTC 2009 年 12 月 25 日 (金) 16 時 7 分 41 秒 (日本時間)

64×10170+179

c171

name 名前Dmitry Domanov
date 日付October 24, 2009 13:20:46 UTC 2009 年 10 月 24 日 (土) 22 時 20 分 46 秒 (日本時間)
composite number 合成数
711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<171>
prime factors 素因数
20144781073759431713450953582651849027061<41>
composite cofactor 合成数の残り
35300016838475530194639813738214629072622370366721985133667932037689576825363959054040956101074677617174755632664566964527186992133<131>
factorization results 素因数分解の結果
Factor=20144781073759431713450953582651849027061  Method=ECM  B1=11000000  Sigma=2496299565
software ソフトウェア
ECMNET

c131

name 名前Sinkiti Sibata
date 日付February 2, 2010 12:41:09 UTC 2010 年 2 月 2 日 (火) 21 時 41 分 9 秒 (日本時間)
composite number 合成数
35300016838475530194639813738214629072622370366721985133667932037689576825363959054040956101074677617174755632664566964527186992133<131>
prime factors 素因数
330733661890793734983185371674836632993031485367<48>
106732458488399597323782984657794922649939314768250687540101264986725794998717182499<84>
factorization results 素因数分解の結果
Number: 71113_170
N=35300016838475530194639813738214629072622370366721985133667932037689576825363959054040956101074677617174755632664566964527186992133
  ( 131 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=330733661890793734983185371674836632993031485367 (pp48)
 r2=106732458488399597323782984657794922649939314768250687540101264986725794998717182499 (pp84)
Version: Msieve-1.40
Total time: 66.66 hours.
Scaled time: 210.30 units (timescale=3.155).
Factorization parameters were as follows:
name: 71113_170
n: 35300016838475530194639813738214629072622370366721985133667932037689576825363959054040956101074677617174755632664566964527186992133
m: 20000000000000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2550000, 5450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1001097 x 1001343
Total sieving time: 64.45 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.03 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,171.000,5,0,0,0,0,0,0,0,0,5100000,5100000,27,27,52,52,2.4,2.4,100000
total time: 66.66 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core i7 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
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310Wataru SakaiNovember 20, 2009 04:17:28 UTC 2009 年 11 月 20 日 (金) 13 時 17 分 28 秒 (日本時間)

64×10173+179

c159

name 名前Robert Backstrom
date 日付June 10, 2010 04:44:23 UTC 2010 年 6 月 10 日 (木) 13 時 44 分 23 秒 (日本時間)
composite number 合成数
948228199760583461392095360859268208787451443587841151301139599347262532413364360936977272156542949732595610850844012413023347243227770992577697065058511258521<159>
prime factors 素因数
80468644891149144092847549405851397549297360145482311771312399455905317<71>
11783822146418180496109666478091959919328832513962872689027920374269792318702374821178213<89>
factorization results 素因数分解の結果
Number: n
N=948228199760583461392095360859268208787451443587841151301139599347262532413364360936977272156542949732595610850844012413023347243227770992577697065058511258521
  ( 159 digits)
SNFS difficulty: 174 digits.
Divisors found:

Thu Jun 10 07:01:35 2010  prp71 factor: 80468644891149144092847549405851397549297360145482311771312399455905317
Thu Jun 10 07:01:35 2010  prp89 factor: 11783822146418180496109666478091959919328832513962872689027920374269792318702374821178213
Thu Jun 10 07:01:35 2010  elapsed time 02:49:56 (Msieve 1.42 - dependency 4)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=0.880).
Factorization parameters were as follows:
name: KA_7_1_172_3
n: 948228199760583461392095360859268208787451443587841151301139599347262532413364360936977272156542949732595610850844012413023347243227770992577697065058511258521
m: 20000000000000000000000000000000000
deg: 5
c5: 2000
c0: 17
skew: 0.39
type: snfs
lss: 1
rlim: 5700000
alim: 5700000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 5700000/5700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved  special-q in [100000, 9250000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 1382747 hash collisions in 11307640 relations
Msieve: matrix is 1048524 x 1048754 (297.0 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,5700000,5700000,27,27,52,52,2.4,2.4,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03
Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init)
VBoxDrv: dbg - g_abExecMemory=ffffffffa032e440
Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.83 BogoMIPS (lpj=3013418)
Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483)
Total of 2 processors activated (12053.80 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
754Ignacio SantosMarch 11, 2010 20:23:50 UTC 2010 年 3 月 12 日 (金) 5 時 23 分 50 秒 (日本時間)
403e62104Wataru SakaiMay 2, 2010 06:59:48 UTC 2010 年 5 月 2 日 (日) 15 時 59 分 48 秒 (日本時間)

64×10174+179

c165

name 名前Ignacio Santos
date 日付June 9, 2010 21:29:49 UTC 2010 年 6 月 10 日 (木) 6 時 29 分 49 秒 (日本時間)
composite number 合成数
152741790294411197258161254102978499594344390402621744356258979216396607092987411580275553316670784746547190467349065050152169133518818435150102156661680647266560189<165>
prime factors 素因数
2175011957686333181751728345207<31>
composite cofactor 合成数の残り
70225724394127067501873075246020928095532237574086736464522122738519839080693540390566493913574203549600027013855912297820391208382827<134>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4051324995
Step 1 took 24914ms
Step 2 took 17893ms
********** Factor found in step 2: 2175011957686333181751728345207
Found probable prime factor of 31 digits: 2175011957686333181751728345207
Composite cofactor 70225724394127067501873075246020928095532237574086736464522122738519839080693540390566493913574203549600027013855912297820391208382827 has 134 digits
software ソフトウェア
GMP-ECM 6.2.3

c134

name 名前Wataru Sakai
date 日付June 18, 2010 05:31:53 UTC 2010 年 6 月 18 日 (金) 14 時 31 分 53 秒 (日本時間)
composite number 合成数
70225724394127067501873075246020928095532237574086736464522122738519839080693540390566493913574203549600027013855912297820391208382827<134>
prime factors 素因数
18364463664724264529541651272785162612453<41>
composite cofactor 合成数の残り
3824000835320963356390698034234474511776229528299564621837212019533692946429772769241468127759<94>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3712164191
Step 1 took 11637ms
Step 2 took 5356ms
********** Factor found in step 2: 18364463664724264529541651272785162612453
Found probable prime factor of 41 digits: 18364463664724264529541651272785162612453
Composite cofactor 3824000835320963356390698034234474511776229528299564621837212019533692946429772769241468127759 has 94 digits
software ソフトウェア
GMP-ECM 6.2.3

c94

name 名前Erik Branger
date 日付June 18, 2010 19:26:59 UTC 2010 年 6 月 19 日 (土) 4 時 26 分 59 秒 (日本時間)
composite number 合成数
3824000835320963356390698034234474511776229528299564621837212019533692946429772769241468127759<94>
prime factors 素因数
23891077157977159468697086510046753759700211921<47>
160059791780637269124975528452024499161772666079<48>
factorization results 素因数分解の結果
Number: 71113_174
N = 3824000835320963356390698034234474511776229528299564621837212019533692946429772769241468127759 (94 digits)
Divisors found:
r1=23891077157977159468697086510046753759700211921 (pp47)
r2=160059791780637269124975528452024499161772666079 (pp48)
Version: Msieve v. 1.45
Total time: 3.48 hours.
Factorization parameters were as follows:
n: 3824000835320963356390698034234474511776229528299564621837212019533692946429772769241468127759
Y0: -40368695399164134001568
Y1: 1743488469889
c0: -310323206001675581563051665
c1: 3342473044737394633593
c2: -8695129328654
c3: -1794235722
c4: 1440
skew: 1171929.60
type: gnfs
Factor base limits: 1200000/1200000
Large primes per side: 3
Large prime bits: 25/25
Sieved algebraic special-q in [600000, 1140000)
Relations: 2407408
Relations in full relation-set: 165360 relations
Pruned matrix : 110388 x 110613
Polynomial selection time: 0.20 hours.
Total sieving time: 3.15 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.03 hours.
time per square root: 0.08 hours.
Prototype def-par.txt line would be: gnfs,93,4,60,2000,0.0001,0.3,220,15,10000,600,1200000,1200000,25,25,45,45,2.4,2.4,60000
total time: 3.48 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosJune 10, 2010 17:52:41 UTC 2010 年 6 月 11 日 (金) 2 時 52 分 41 秒 (日本時間)
403e62117110Ignacio SantosJune 10, 2010 17:52:41 UTC 2010 年 6 月 11 日 (金) 2 時 52 分 41 秒 (日本時間)
2007Wataru SakaiJune 18, 2010 05:31:28 UTC 2010 年 6 月 18 日 (金) 14 時 31 分 28 秒 (日本時間)
4511e632 / 3992Ignacio SantosJune 10, 2010 17:52:41 UTC 2010 年 6 月 11 日 (金) 2 時 52 分 41 秒 (日本時間)

64×10175+179

c161

name 名前Rich Dickerson
date 日付November 4, 2010 22:11:25 UTC 2010 年 11 月 5 日 (金) 7 時 11 分 25 秒 (日本時間)
composite number 合成数
11231030943259273105464762893570187598424213590862384981438117631253233173065674321072839541491036293857602532981459847164066410883704476635111820221933178030507<161>
prime factors 素因数
8563172422967159737209233488993<31>
1311550251299003273658678496709520616770332759238059272132174511368081857085192746889006204948234289894462648690668220282001711499<130>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2666339589
Step 1 took 32540ms
Step 2 took 18442ms
********** Factor found in step 2: 8563172422967159737209233488993
Found probable prime factor of 31 digits: 8563172422967159737209233488993
Probable prime cofactor 1311550251299003273658678496709520616770332759238059272132174511368081857085192746889006204948234289894462648690668220282001711499 has 130 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
PPC-G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10176+179

c109

name 名前Jo Yeong Uk
date 日付November 5, 2009 22:49:50 UTC 2009 年 11 月 6 日 (金) 7 時 49 分 50 秒 (日本時間)
composite number 合成数
1497904563396310154769792820729281585688689422098966010957032096218297475296578253879252017930370140253308423<109>
prime factors 素因数
27199328739913350726751375837743051073898498013179701<53>
55071379802039998793236341692499167334341927807025765323<56>
factorization results 素因数分解の結果
Number: 71113_176
N=1497904563396310154769792820729281585688689422098966010957032096218297475296578253879252017930370140253308423
  ( 109 digits)
Divisors found:
 r1=27199328739913350726751375837743051073898498013179701
 r2=55071379802039998793236341692499167334341927807025765323
Version: 
Total time: 7.39 hours.
Scaled time: 17.62 units (timescale=2.385).
Factorization parameters were as follows:
name: 71113_176
n: 1497904563396310154769792820729281585688689422098966010957032096218297475296578253879252017930370140253308423
skew: 37228.70
# norm 1.29e+15
c5: 6720
c4: 1929577034
c3: -28048451333417
c2: -2581066827369582849
c1: 23728062558893855083337
c0: 189889730972645309855811835
# alpha -6.65
Y1: 294450677543
Y0: -740650055075990989806
# Murphy_E 1.28e-09
# M 406037342834116125047075340806279652058520344301271931613697935723559786272925786257733844006528099117428762
type: gnfs
rlim: 2100000
alim: 2100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved algebraic special-q in [1050000, 2200001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 8123905
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 371166 x 371414
Polynomial selection time: 0.58 hours.
Total sieving time: 5.59 hours.
Total relation processing time: 0.85 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
gnfs,108,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2100000,2100000,27,27,51,51,2.6,2.6,50000
total time: 7.39 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 4, 2009 23:56:49 UTC 2009 年 11 月 5 日 (木) 8 時 56 分 49 秒 (日本時間)

64×10177+179

c151

name 名前Rich Dickerson
date 日付November 5, 2010 01:43:37 UTC 2010 年 11 月 5 日 (金) 10 時 43 分 37 秒 (日本時間)
composite number 合成数
1765256964441534109020828871665954427104089640517863374067493888410969592990059531482626756779736594770495667687422555924064058846360428255194288369169<151>
prime factors 素因数
155026234885579987922121065153071<33>
11386827305355219565438680365507646326953224013403209961145836271331794114110202228247253236946353076551826621806101439<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2584849568
Step 1 took 27890ms
Step 2 took 17259ms
********** Factor found in step 2: 155026234885579987922121065153071
Found probable prime factor of 33 digits: 155026234885579987922121065153071
Probable prime cofactor 11386827305355219565438680365507646326953224013403209961145836271331794114110202228247253236946353076551826621806101439 has 119 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
PPC-G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10178+179

c173

name 名前Dmitry Domanov
date 日付December 8, 2009 06:46:33 UTC 2009 年 12 月 8 日 (火) 15 時 46 分 33 秒 (日本時間)
composite number 合成数
58416071940852996958987079916563594245980403781016766416673261293538114524526489817485372478673341798187258012562923921554882492876662039931218726294141899393102650090741153<173>
prime factors 素因数
31770331922672269514195751652912853<35>
2820691606995952582774864978273833453721249485749317742014394563<64>
651860990166698295158172796521430338071271034227790252159666126584151543327<75>
factorization results 素因数分解の結果
N=58416071940852996958987079916563594245980403781016766416673261293538114524526489817485372478673341798187258012562923921554882492876662039931218726294141899393102650090741153
  ( 173 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=31770331922672269514195751652912853 (pp35)
 r2=2820691606995952582774864978273833453721249485749317742014394563 (pp64)
 r3=651860990166698295158172796521430338071271034227790252159666126584151543327 (pp75)
Version: Msieve-1.40
Total time: 180.40 hours.
Scaled time: 168.85 units (timescale=0.936).
Factorization parameters were as follows:
n: 58416071940852996958987079916563594245980403781016766416673261293538114524526489817485372478673341798187258012562923921554882492876662039931218726294141899393102650090741153
m: 400000000000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 300000Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1326304 x 1326539
Total sieving time: 175.81 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 3.12 hours.
Time per square root: 1.19 hours.
Prototype def-par.txt line would be:
snfs,180.000,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 180.40 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10181+179

c140

name 名前Rich Dickerson
date 日付November 5, 2010 13:20:37 UTC 2010 年 11 月 5 日 (金) 22 時 20 分 37 秒 (日本時間)
composite number 合成数
79472502550911660355692717022948004403934864088201986254953876507095101968910527979501229279718196093876472653341506790925844157534736086023<140>
prime factors 素因数
8743165797579351769272479149996680782927<40>
9089671223313019743981091875989162431202630669863342764148754988141110129572831936251346106643803849<100>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3613354389
Step 1 took 101854ms
Step 2 took 51853ms
********** Factor found in step 2: 8743165797579351769272479149996680782927
Found probable prime factor of 40 digits: 8743165797579351769272479149996680782927
Probable prime cofactor 9089671223313019743981091875989162431202630669863342764148754988141110129572831936251346106643803849 has 100 digits
software ソフトウェア
GMP-ECM 6.3 [configur GMP 5.0.1] [ECM]
execution environment 実行環境
PPC-G5, 2.5 GHz, Mac OS X

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2310Rich DickersonNovember 5, 2010 05:14:50 UTC 2010 年 11 月 5 日 (金) 14 時 14 分 50 秒 (日本時間)

64×10182+179

c159

name 名前Ignacio Santos
date 日付April 19, 2011 10:59:35 UTC 2011 年 4 月 19 日 (火) 19 時 59 分 35 秒 (日本時間)
composite number 合成数
134918096173642629568685220741525023639407937234195293448106681125749607063079880663228687559192067777988480452806472341487139660751196850800847115908093578959<159>
prime factors 素因数
407620763229031782463618065418891<33>
composite cofactor 合成数の残り
330989263414522308306795377380228608794270678340677237053229973203374057006829804916905527411811809143932650305184676207446349<126>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1174314026
Step 1 took 26614ms
Step 2 took 14040ms
********** Factor found in step 2: 407620763229031782463618065418891
Found probable prime factor of 33 digits: 407620763229031782463618065418891
Composite cofactor 330989263414522308306795377380228608794270678340677237053229973203374057006829804916905527411811809143932650305184676207446349 has 126 digits
software ソフトウェア
GMP-ECM 6.3

c126

name 名前Erik Branger
date 日付May 25, 2011 16:12:25 UTC 2011 年 5 月 26 日 (木) 1 時 12 分 25 秒 (日本時間)
composite number 合成数
330989263414522308306795377380228608794270678340677237053229973203374057006829804916905527411811809143932650305184676207446349<126>
prime factors 素因数
407598949206267120848395673153335371488871835896435618299172007<63>
812046409979884009281311430037780057771124432514682681000348907<63>
factorization results 素因数分解の結果
Number: 71113_182
N = 330989263414522308306795377380228608794270678340677237053229973203374057006829804916905527411811809143932650305184676207446349 (126 digits)
Divisors found:
r1=407598949206267120848395673153335371488871835896435618299172007 (pp63)
r2=812046409979884009281311430037780057771124432514682681000348907 (pp63)
Version: Msieve v. 1.48
Total time: 145.12 hours.
Factorization parameters were as follows:
# Murphy_E = 1.341e-10, selected by Erik Branger
n: 330989263414522308306795377380228608794270678340677237053229973203374057006829804916905527411811809143932650305184676207446349
Y0: -3233753793765935129391468
Y1: 23423568697967
c0: 158369365315183023851714103460375
c1: -1244183769417173681748404925
c2: -303095545889212996265
c3: 2705024784574485
c4: 982322578
c5: 936
skew: 845834.12
type: gnfs
# selected mechanically
rlim: 7400000
alim: 7400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7400000/7400000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Relations: 11257424
Relations in full relation-set: 1847714 relations
Pruned matrix : 1084722 x 1084947
Polynomial selection time: 0.00 hours.
Total sieving time: 140.39 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 4.19 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,7400000,7400000,27,27,53,53,2.5,2.5,100000
total time: 145.12 hours.
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
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e62310300Dmitry DomanovApril 19, 2011 14:03:25 UTC 2011 年 4 月 19 日 (火) 23 時 3 分 25 秒 (日本時間)
2010Wataru SakaiMay 8, 2011 07:05:47 UTC 2011 年 5 月 8 日 (日) 16 時 5 分 47 秒 (日本時間)

64×10183+179

c182

name 名前Sinkiti Sibata
date 日付October 28, 2009 23:33:19 UTC 2009 年 10 月 29 日 (木) 8 時 33 分 19 秒 (日本時間)
composite number 合成数
40175768989328311362209667294413057124921531701192718141870684243565599497802887633396107972379158819836785938480853735091023226616446955430006277463904582548650345260514752040175769<182>
prime factors 素因数
384410432843509184562551441772217<33>
5960154262873601562601591019221235861490470119<46>
17535232633606003339861798618760092993549136117476670102764910728473797048681628830125019112178672954103<104>
factorization results 素因数分解の結果
Number: 71113_183
N=40175768989328311362209667294413057124921531701192718141870684243565599497802887633396107972379158819836785938480853735091023226616446955430006277463904582548650345260514752040175769
  ( 182 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=384410432843509184562551441772217 (pp33)
 r2=5960154262873601562601591019221235861490470119 (pp46)
 r3=17535232633606003339861798618760092993549136117476670102764910728473797048681628830125019112178672954103 (pp104)
Version: Msieve v. 1.42
Total time: 12.89 hours.
Scaled time: 10.99 units (timescale=0.853).
Factorization parameters were as follows:
name: 71113_183
n: 40175768989328311362209667294413057124921531701192718141870684243565599497802887633396107972379158819836785938480853735091023226616446955430006277463904582548650345260514752040175769
m: 4000000000000000000000000000000000000
deg: 5
c5: 125
c0: 34
skew: 0.77
type: snfs
lss: 1
rlim: 8500000
alim: 8500000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8500000/8500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4250000, 7450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1649596 x 1649831
Total sieving time: 0.00 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 11.71 hours.
Time per square root: 0.97 hours.
Prototype def-par.txt line would be:
snfs,185.000,5,0,0,0,0,0,0,0,0,8500000,8500000,28,28,54,54,2.5,2.5,100000
total time: 12.89 hours.
 --------- CPU info (if available) ----------
CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 5600+ stepping 02
Memory: 3886124k/4718592k available (3786k kernel code, 656964k absent, 175504k reserved, 2294k data, 1304k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5827.16 BogoMIPS (lpj=2913583)
Calibrating delay using timer specific routine.. 5826.53 BogoMIPS (lpj=2913268)
Total of 2 processors activated (11653.70 BogoMIPS).

Total time: 125hours 39min

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10184+179

c145

name 名前Ignacio Santos
date 日付February 3, 2014 15:22:13 UTC 2014 年 2 月 4 日 (火) 0 時 22 分 13 秒 (日本時間)
composite number 合成数
1541948393574238217486331309344903767809117775038098270709491967930188882975763887728469910830802581575371879303637858359700877128276401691189987<145>
prime factors 素因数
131371891173567542077993540526175173<36>
11737277889507031176998254957704028756548979324802728375445129842944986408120158745487430445730043640128822919<110>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3187368757
Step 1 took 30500ms
Step 2 took 18266ms
********** Factor found in step 2: 131371891173567542077993540526175173
Found probable prime factor of 36 digits: 131371891173567542077993540526175173
Probable prime cofactor 11737277889507031176998254957704028756548979324802728375445129842944986408120158745487430445730043640128822919 has 110 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e6600 / 636300Rich DickersonNovember 5, 2010 05:15:54 UTC 2010 年 11 月 5 日 (金) 14 時 15 分 54 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:33 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 33 秒 (日本時間)
4511e6485 / 4341255Rich DickersonNovember 5, 2010 16:39:54 UTC 2010 年 11 月 6 日 (土) 1 時 39 分 54 秒 (日本時間)
230Ignacio SantosFebruary 2, 2014 23:21:34 UTC 2014 年 2 月 3 日 (月) 8 時 21 分 34 秒 (日本時間)

64×10185+179

c177

name 名前matsui
date 日付December 25, 2010 07:11:33 UTC 2010 年 12 月 25 日 (土) 16 時 11 分 33 秒 (日本時間)
composite number 合成数
375992710590310541925778966198382744210655778304570472293154466113950672978980574182039098236615930284910663669903950216364620504154456580244253934448631498682089532341969697253<177>
prime factors 素因数
802188116290556405535466789657437787108079588726851<51>
117351911068942159250983313128694718422541992466372040762696639<63>
3994045746596836521071874039822078627242192106918126057023949577<64>
factorization results 素因数分解の結果
N=375992710590310541925778966198382744210655778304570472293154466113950672978980574182039098236615930284910663669903950216364620504154456580244253934448631498682089532341969697253
  ( 177 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=802188116290556405535466789657437787108079588726851 (pp51)
 r2=117351911068942159250983313128694718422541992466372040762696639 (pp63)
 r3=3994045746596836521071874039822078627242192106918126057023949577 (pp64)
Version: Msieve v. 1.48
Total time:
Scaled time: 26.34 units (timescale=0.699).
Factorization parameters were as follows:
n: 375992710590310541925778966198382744210655778304570472293154466113950672978980574182039098236615930284910663669903950216364620504154456580244253934448631498682089532341969697253
m: 20000000000000000000000000000000000000
deg: 5
c5: 2
c0: 17
skew: 1.53
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4550000, 12550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1817921 x 1818101
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,186.000,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e6300 / 2310Rich DickersonNovember 6, 2010 16:10:32 UTC 2010 年 11 月 7 日 (日) 1 時 10 分 32 秒 (日本時間)

64×10186+179

c146

name 名前Jo Yeong Uk
date 日付November 30, 2016 09:14:12 UTC 2016 年 11 月 30 日 (水) 18 時 14 分 12 秒 (日本時間)
composite number 合成数
76337164663062968907579019635965283962095720206702325430229546995850295626988121319132914148161856053365984007490929606653481405375653469895152419<146>
prime factors 素因数
25634483943529721239940524633206869032543559<44>
991622268328938898536274311835845519433314422175251<51>
3003068062936731880418989001892846657390879707870791<52>
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 76337164663062968907579019635965283962095720206702325430229546995850295626988121319132914148161856053365984007490929606653481405375653469895152419 (146 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=5881648328
Step 1 took 24473ms
Step 2 took 8854ms
********** Factor found in step 2: 25634483943529721239940524633206869032543559
Found probable prime factor of 44 digits: 25634483943529721239940524633206869032543559
Composite cofactor 2977909164515514708620854151638132426657293735502850863925385923639766752694515026577498712531865993541 has 103 digits

Number: 71113_186
N=2977909164515514708620854151638132426657293735502850863925385923639766752694515026577498712531865993541
  ( 103 digits)
Divisors found:
 r1=991622268328938898536274311835845519433314422175251
 r2=3003068062936731880418989001892846657390879707870791
Version: 
Total time: 2.64 hours.
Scaled time: 13.62 units (timescale=5.156).
Factorization parameters were as follows:
name: 71113_186
n: 2977909164515514708620854151638132426657293735502850863925385923639766752694515026577498712531865993541
skew: 3366.40
# norm 1.70e+14
c5: 167580
c4: -4772776422
c3: 12924300849137
c2: 49300287297771352
c1: -6866669690013565088
c0: -51092158214439321768136
# alpha -5.44
Y1: 31176574729
Y0: -28179974055146519415
# Murphy_E 2.46e-09
# M 1330223123806006274614349895607436928202168167774605044868196902051309964918452838184458095192498147030
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, 1350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4963852
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 270229 x 270475
Polynomial selection time: 0.25 hours.
Total sieving time: 2.01 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1500000,1500000,26,26,52,52,2.6,2.6,30000
total time: 2.64 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
351e6150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
403e6600300Rich DickersonNovember 5, 2010 22:07:59 UTC 2010 年 11 月 6 日 (土) 7 時 7 分 59 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:34 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 34 秒 (日本時間)
4511e6800 / 4341500Rich DickersonNovember 6, 2010 16:10:46 UTC 2010 年 11 月 7 日 (日) 1 時 10 分 46 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:16 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 16 秒 (日本時間)

64×10187+179

c176

name 名前Ignacio Santos
date 日付April 19, 2011 12:01:16 UTC 2011 年 4 月 19 日 (火) 21 時 1 分 16 秒 (日本時間)
composite number 合成数
63508371225438764062311365139344585034999860754714219595285271554741285232008116826637685077979925694350206491602786148822075931178376885223186516251424393464425992189177352763<176>
prime factors 素因数
450775683141343742338658876737087<33>
composite cofactor 合成数の残り
140886861471463374867952935399623130505841301081523627233154309626743387551891411358904708331943648459789316643459585129870213428509454571916549<144>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1451918963
Step 1 took 10140ms
Step 2 took 6818ms
********** Factor found in step 2: 450775683141343742338658876737087
Found probable prime factor of 33 digits: 450775683141343742338658876737087
Composite cofactor 140886861471463374867952935399623130505841301081523627233154309626743387551891411358904708331943648459789316643459585129870213428509454571916549 has 144 digits
software ソフトウェア
GMP-ECM 6.3

c144

name 名前Serge Batalov
date 日付May 27, 2014 07:26:09 UTC 2014 年 5 月 27 日 (火) 16 時 26 分 9 秒 (日本時間)
composite number 合成数
140886861471463374867952935399623130505841301081523627233154309626743387551891411358904708331943648459789316643459585129870213428509454571916549<144>
prime factors 素因数
18625121679301905146285689519433989682166152683<47>
7564345828034558417028241140611395665659427044436725984411413455642405387935122165031660380599503<97>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=1462151898
Step 1 took 37798ms
Step 2 took 22904ms
********** Factor found in step 2: 18625121679301905146285689519433989682166152683
Found probable prime factor of 47 digits: 18625121679301905146285689519433989682166152683
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 19, 2011 16:14:39 UTC 2011 年 4 月 20 日 (水) 1 時 14 分 39 秒 (日本時間)
403e61910110Ignacio SantosApril 19, 2011 16:14:39 UTC 2011 年 4 月 20 日 (水) 1 時 14 分 39 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:34 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 34 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:42:45 UTC 2014 年 3 月 4 日 (火) 20 時 42 分 45 秒 (日本時間)
4511e6832 / 403732Ignacio SantosApril 19, 2011 16:14:39 UTC 2011 年 4 月 20 日 (水) 1 時 14 分 39 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:13:43 UTC 2014 年 3 月 12 日 (水) 22 時 13 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:16 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 16 秒 (日本時間)

64×10190+179

c103

name 名前Dmitry Domanov
date 日付October 23, 2009 22:01:55 UTC 2009 年 10 月 24 日 (土) 7 時 1 分 55 秒 (日本時間)
composite number 合成数
4164109182788298634637983560598824442861592984170310779241065618584708338011804829543687064903635460763<103>
prime factors 素因数
78312274930106768612277915759019<32>
53173135201406687225987643466447677679826748068879261893091308053037777<71>
factorization results 素因数分解の結果
Number: gnfs103
N=4164109182788298634637983560598824442861592984170310779241065618584708338011804829543687064903635460763
  ( 103 digits)
Divisors found:
 r1=78312274930106768612277915759019 (pp32)
 r2=53173135201406687225987643466447677679826748068879261893091308053037777 (pp71)
Version: Msieve-1.40
Total time: 5.84 hours.
Scaled time: 11.16 units (timescale=1.911).
Factorization parameters were as follows:
name: gnfs103
n: 4164109182788298634637983560598824442861592984170310779241065618584708338011804829543687064903635460763
skew: 2491.34
# norm 7.07e+013
c5: 744120
c4: -3420269382
c3: -5627753013815
c2: 15061763833701973
c1: -8412804937219830845
c0: -17049204468924793063920
# alpha -5.55
Y1: 56538318353
Y0: -22365408527022715867
# Murphy_E 2.54e-009
# M 1237890708516201371853183408783352573063846900088206779982914609995757268982164069799294337788323393398
type: gnfs
rlim: 2300000
alim: 2300000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 258653 x 258879
Polynomial selection time: 0.56 hours.
Total sieving time: 5.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,102,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 5.84 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10191+179

c180

name 名前Ignacio Santos
date 日付April 19, 2011 13:08:53 UTC 2011 年 4 月 19 日 (火) 22 時 8 分 53 秒 (日本時間)
composite number 合成数
378882245269408759982010234643030637396786697027624358857572302197079179295736327554241720857142878879991215015154977205395840004197944009834713884812920783719643108293502267488367<180>
prime factors 素因数
10094927374423867540668420192727<32>
8507008880096740331907073947318853<34>
4411884855095462158374435427628700719742036222985716778568924859682189597425215258842698985573053851514292912919957<115>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1887586584
Step 1 took 31153ms
********** Factor found in step 1: 8507008880096740331907073947318853
Found probable prime factor of 34 digits: 8507008880096740331907073947318853
Composite cofactor 44537657196509259108996774475529870431258984618956759443100958803715107564523458658769824477919887394688210752132348850008867700144867886264552739 has 146 digits

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=135289172
Step 1 took 22822ms
Step 2 took 13027ms
********** Factor found in step 2: 10094927374423867540668420192727
Found probable prime factor of 32 digits: 10094927374423867540668420192727
Probable prime cofactor 4411884855095462158374435427628700719742036222985716778568924859682189597425215258842698985573053851514292912919957 has 115 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10192+179

c159

composite cofactor 合成数の残り
401393155205896172173735406808853123355874003876995972587592338326156383335267767044753672425132672111732464627780389713634669649114028597061973249548807749403<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 19, 2011 17:21:52 UTC 2011 年 4 月 20 日 (水) 2 時 21 分 52 秒 (日本時間)
403e61910110Ignacio SantosApril 19, 2011 17:21:52 UTC 2011 年 4 月 20 日 (水) 2 時 21 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:35 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 35 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:43:18 UTC 2014 年 3 月 4 日 (火) 20 時 43 分 18 秒 (日本時間)
4511e6832 / 403732Ignacio SantosApril 19, 2011 17:21:52 UTC 2011 年 4 月 20 日 (水) 2 時 21 分 52 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:13:56 UTC 2014 年 3 月 12 日 (水) 22 時 13 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:17 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 17 秒 (日本時間)

64×10193+179

c154

composite cofactor 合成数の残り
1935255481231767595008397734896002879675583733942282312746553403145539499784698328282532723490046558936638193814028933071736416464938175788517957789669311<154>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 19, 2011 20:17:05 UTC 2011 年 4 月 20 日 (水) 5 時 17 分 5 秒 (日本時間)
403e61910110Ignacio SantosApril 19, 2011 20:17:05 UTC 2011 年 4 月 20 日 (水) 5 時 17 分 5 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:35 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 35 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:43:35 UTC 2014 年 3 月 4 日 (火) 20 時 43 分 35 秒 (日本時間)
4511e6832 / 403732Ignacio SantosApril 19, 2011 20:17:05 UTC 2011 年 4 月 20 日 (水) 5 時 17 分 5 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:14:10 UTC 2014 年 3 月 12 日 (水) 22 時 14 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:17 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 17 秒 (日本時間)

64×10194+179

c176

composite cofactor 合成数の残り
14943726386651275646130980636436346292209712855715437438220303518297393124238618228649023779075879063397263143946413220406507695817455124773013901120131791759033612620163106471<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 19, 2011 21:30:00 UTC 2011 年 4 月 20 日 (水) 6 時 30 分 0 秒 (日本時間)
403e63210110Ignacio SantosApril 19, 2011 21:30:00 UTC 2011 年 4 月 20 日 (水) 6 時 30 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:36 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 36 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:43:53 UTC 2014 年 3 月 4 日 (火) 20 時 43 分 53 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:15 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 15 秒 (日本時間)
4511e6282 / 375032Ignacio SantosApril 19, 2011 21:30:00 UTC 2011 年 4 月 20 日 (水) 6 時 30 分 0 秒 (日本時間)
250Rich DickersonOctober 13, 2015 21:55:50 UTC 2015 年 10 月 14 日 (水) 6 時 55 分 50 秒 (日本時間)

64×10195+179

c181

name 名前Dmitry Domanov
date 日付March 11, 2014 05:53:33 UTC 2014 年 3 月 11 日 (火) 14 時 53 分 33 秒 (日本時間)
composite number 合成数
7429433981321674013776738540428165739478654996747098539255156413267967651784687771109926992887207932628049431735045499934146774710977887805828034747037396598696623825032122128083293<181>
prime factors 素因数
2264243837957409360827578131174223331<37>
composite cofactor 合成数の残り
3281198719314532750639234177497306783768719030752485029581659733388181765503146639687282599129018093180769384296058271761718996817527717566394303<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2601018847
Step 1 took 23903ms
Step 2 took 8937ms
********** Factor found in step 2: 2264243837957409360827578131174223331
Found probable prime factor of 37 digits: 2264243837957409360827578131174223331

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 19, 2011 23:01:43 UTC 2011 年 4 月 20 日 (水) 8 時 1 分 43 秒 (日本時間)
403e61910110Ignacio SantosApril 19, 2011 23:01:43 UTC 2011 年 4 月 20 日 (水) 8 時 1 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:37 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 37 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:44:03 UTC 2014 年 3 月 4 日 (火) 20 時 44 分 3 秒 (日本時間)
4511e6832 / 403732Ignacio SantosApril 19, 2011 23:01:43 UTC 2011 年 4 月 20 日 (水) 8 時 1 分 43 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:14:21 UTC 2014 年 3 月 12 日 (水) 22 時 14 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:18 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 18 秒 (日本時間)

64×10196+179

c166

name 名前Dmitry Domanov
date 日付March 5, 2014 06:02:10 UTC 2014 年 3 月 5 日 (水) 15 時 2 分 10 秒 (日本時間)
composite number 合成数
1346402777682698160848262118569719832622903437558868117888675107230288096516834907000685921655026466876039152593387639516472477103149725210434891234480642569635871679<166>
prime factors 素因数
154759160071382127514832622460424075927819<42>
composite cofactor 合成数の残り
8699987626332906787087113790075463749485605509036778871463687629440044560443577986502726688498679686153691197101429745526941<124>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1549111938
Step 1 took 19452ms
Step 2 took 8206ms
********** Factor found in step 2: 154759160071382127514832622460424075927819
Found probable prime factor of 42 digits: 154759160071382127514832622460424075927819

c124

name 名前Cyp
date 日付March 6, 2014 03:21:13 UTC 2014 年 3 月 6 日 (木) 12 時 21 分 13 秒 (日本時間)
composite number 合成数
8699987626332906787087113790075463749485605509036778871463687629440044560443577986502726688498679686153691197101429745526941<124>
prime factors 素因数
22618079073424589777272846052388117599194038881310217<53>
384647502473146446660823557692434262863607117077450627383265781899248373<72>
factorization results 素因数分解の結果
03/05/14 19:30:14 v1.34.3, 
03/05/14 19:30:14 v1.34.3, ****************************
03/05/14 19:30:14 v1.34.3, Starting factorization of 8699987626332906787087113790075463749485605509036778871463687629440044560443577986502726688498679686153691197101429745526941
03/05/14 19:30:14 v1.34.3, using pretesting plan: none
03/05/14 19:30:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
03/05/14 19:30:14 v1.34.3, ****************************
03/05/14 19:30:14 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C124
03/05/14 19:30:14 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C124
03/05/14 19:30:14 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C124
03/05/14 19:30:14 v1.34.3, final ECM pretested depth: 0.00
03/05/14 19:30:14 v1.34.3, scheduler: switching to sieve method
03/05/14 19:30:14 v1.34.3, nfs: commencing nfs on c124: 8699987626332906787087113790075463749485605509036778871463687629440044560443577986502726688498679686153691197101429745526941
03/05/14 19:30:14 v1.34.3, nfs: commencing poly selection with 8 threads
03/05/14 19:30:14 v1.34.3, nfs: setting deadline of 3176 seconds
03/05/14 20:24:50 v1.34.3, nfs: completed 262 ranges of size 250 in 3275.4251 seconds
03/05/14 20:24:50 v1.34.3, nfs: best poly = # norm 7.444150e-12 alpha -6.050892 e 1.708e-10 rroots 5
03/05/14 20:24:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/05/14 20:30:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[58 lines snipped]
03/06/14 02:38:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 02:44:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 02:50:52 v1.34.3, nfs: commencing msieve filtering
03/06/14 02:52:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 02:59:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:05:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:11:47 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:18:14 v1.34.3, nfs: commencing msieve filtering
03/06/14 03:20:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:27:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:33:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:40:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
03/06/14 03:46:40 v1.34.3, nfs: commencing msieve filtering
03/06/14 03:49:18 v1.34.3, nfs: commencing msieve linear algebra
03/06/14 04:18:23 v1.34.3, nfs: commencing msieve sqrt
03/06/14 04:21:11 v1.34.3, prp53 = 22618079073424589777272846052388117599194038881310217
03/06/14 04:21:11 v1.34.3, prp72 = 384647502473146446660823557692434262863607117077450627383265781899248373
03/06/14 04:21:11 v1.34.3, NFS elapsed time = 31856.9994 seconds.
03/06/14 04:21:11 v1.34.3, 
03/06/14 04:21:11 v1.34.3, 
03/06/14 04:21:11 v1.34.3, Total factoring time = 31857.0279 seconds
--
Thu Mar  6 02:50:52 2014  
Thu Mar  6 02:50:52 2014  commencing relation filtering
Thu Mar  6 02:50:52 2014  estimated available RAM is 15988.7 MB
Thu Mar  6 02:50:52 2014  commencing duplicate removal, pass 1
Thu Mar  6 02:51:28 2014  found 1222626 hash collisions in 10129837 relations
Thu Mar  6 02:51:40 2014  added 62375 free relations
Thu Mar  6 02:51:40 2014  commencing duplicate removal, pass 2
Thu Mar  6 02:51:49 2014  found 723260 duplicates and 9468952 unique relations
Thu Mar  6 02:51:49 2014  memory use: 41.3 MB
Thu Mar  6 02:51:49 2014  reading ideals above 100000
Thu Mar  6 02:51:49 2014  commencing singleton removal, initial pass
Thu Mar  6 02:52:39 2014  memory use: 344.5 MB
Thu Mar  6 02:52:39 2014  reading all ideals from disk
Thu Mar  6 02:52:39 2014  memory use: 344.0 MB
Thu Mar  6 02:52:40 2014  keeping 10932634 ideals with weight <= 200, target excess is 48803
Thu Mar  6 02:52:40 2014  commencing in-memory singleton removal
Thu Mar  6 02:52:41 2014  begin with 9468952 relations and 10932634 unique ideals
Thu Mar  6 02:52:46 2014  reduce to 2756972 relations and 2943494 ideals in 28 passes
Thu Mar  6 02:52:46 2014  max relations containing the same ideal: 88
Thu Mar  6 03:18:14 2014  
Thu Mar  6 03:18:14 2014  commencing relation filtering
Thu Mar  6 03:18:14 2014  estimated available RAM is 15988.7 MB
Thu Mar  6 03:18:14 2014  commencing duplicate removal, pass 1
Thu Mar  6 03:18:53 2014  found 1366756 hash collisions in 10839507 relations
Thu Mar  6 03:19:05 2014  added 85 free relations
Thu Mar  6 03:19:05 2014  commencing duplicate removal, pass 2
Thu Mar  6 03:19:15 2014  found 806564 duplicates and 10033028 unique relations
Thu Mar  6 03:19:15 2014  memory use: 41.3 MB
Thu Mar  6 03:19:15 2014  reading ideals above 720000
Thu Mar  6 03:19:15 2014  commencing singleton removal, initial pass
Thu Mar  6 03:20:04 2014  memory use: 344.5 MB
Thu Mar  6 03:20:06 2014  reading all ideals from disk
Thu Mar  6 03:20:06 2014  memory use: 294.3 MB
Thu Mar  6 03:20:06 2014  commencing in-memory singleton removal
Thu Mar  6 03:20:07 2014  begin with 10033028 relations and 11112022 unique ideals
Thu Mar  6 03:20:12 2014  reduce to 3602147 relations and 3544703 ideals in 21 passes
Thu Mar  6 03:20:12 2014  max relations containing the same ideal: 69
Thu Mar  6 03:46:40 2014  
Thu Mar  6 03:46:40 2014  commencing relation filtering
Thu Mar  6 03:46:40 2014  estimated available RAM is 15988.7 MB
Thu Mar  6 03:46:40 2014  commencing duplicate removal, pass 1
Thu Mar  6 03:47:23 2014  found 1508963 hash collisions in 11490688 relations
Thu Mar  6 03:47:34 2014  added 68 free relations
Thu Mar  6 03:47:34 2014  commencing duplicate removal, pass 2
Thu Mar  6 03:47:45 2014  found 892840 duplicates and 10597916 unique relations
Thu Mar  6 03:47:45 2014  memory use: 41.3 MB
Thu Mar  6 03:47:45 2014  reading ideals above 720000
Thu Mar  6 03:47:45 2014  commencing singleton removal, initial pass
Thu Mar  6 03:48:37 2014  memory use: 344.5 MB
Thu Mar  6 03:48:37 2014  reading all ideals from disk
Thu Mar  6 03:48:37 2014  memory use: 311.1 MB
Thu Mar  6 03:48:37 2014  commencing in-memory singleton removal
Thu Mar  6 03:48:38 2014  begin with 10597916 relations and 11342506 unique ideals
Thu Mar  6 03:48:43 2014  reduce to 4410177 relations and 4141256 ideals in 17 passes
Thu Mar  6 03:48:43 2014  max relations containing the same ideal: 79
Thu Mar  6 03:48:44 2014  removing 603396 relations and 536391 ideals in 67005 cliques
Thu Mar  6 03:48:44 2014  commencing in-memory singleton removal
Thu Mar  6 03:48:44 2014  begin with 3806781 relations and 4141256 unique ideals
Thu Mar  6 03:48:47 2014  reduce to 3735955 relations and 3532528 ideals in 11 passes
Thu Mar  6 03:48:47 2014  max relations containing the same ideal: 70
Thu Mar  6 03:48:48 2014  removing 448212 relations and 381207 ideals in 67005 cliques
Thu Mar  6 03:48:48 2014  commencing in-memory singleton removal
Thu Mar  6 03:48:48 2014  begin with 3287743 relations and 3532528 unique ideals
Thu Mar  6 03:48:49 2014  reduce to 3241213 relations and 3103842 ideals in 9 passes
Thu Mar  6 03:48:49 2014  max relations containing the same ideal: 66
Thu Mar  6 03:48:51 2014  relations with 0 large ideals: 469
Thu Mar  6 03:48:51 2014  relations with 1 large ideals: 2561
Thu Mar  6 03:48:51 2014  relations with 2 large ideals: 35140
Thu Mar  6 03:48:51 2014  relations with 3 large ideals: 196579
Thu Mar  6 03:48:51 2014  relations with 4 large ideals: 568971
Thu Mar  6 03:48:51 2014  relations with 5 large ideals: 923328
Thu Mar  6 03:48:51 2014  relations with 6 large ideals: 870148
Thu Mar  6 03:48:51 2014  relations with 7+ large ideals: 644017
Thu Mar  6 03:48:51 2014  commencing 2-way merge
Thu Mar  6 03:48:52 2014  reduce to 1870626 relation sets and 1733258 unique ideals
Thu Mar  6 03:48:52 2014  ignored 3 oversize relation sets
Thu Mar  6 03:48:52 2014  commencing full merge
Thu Mar  6 03:49:10 2014  memory use: 196.3 MB
Thu Mar  6 03:49:10 2014  found 930406 cycles, need 911458
Thu Mar  6 03:49:11 2014  weight of 911458 cycles is about 64068120 (70.29/cycle)
Thu Mar  6 03:49:11 2014  distribution of cycle lengths:
Thu Mar  6 03:49:11 2014  1 relations: 118052
Thu Mar  6 03:49:11 2014  2 relations: 105857
Thu Mar  6 03:49:11 2014  3 relations: 103343
Thu Mar  6 03:49:11 2014  4 relations: 91518
Thu Mar  6 03:49:11 2014  5 relations: 83184
Thu Mar  6 03:49:11 2014  6 relations: 69806
Thu Mar  6 03:49:11 2014  7 relations: 61655
Thu Mar  6 03:49:11 2014  8 relations: 52909
Thu Mar  6 03:49:11 2014  9 relations: 45522
Thu Mar  6 03:49:11 2014  10+ relations: 179612
Thu Mar  6 03:49:11 2014  heaviest cycle: 21 relations
Thu Mar  6 03:49:11 2014  commencing cycle optimization
Thu Mar  6 03:49:12 2014  start with 5393152 relations
Thu Mar  6 03:49:17 2014  pruned 116319 relations
Thu Mar  6 03:49:17 2014  memory use: 182.4 MB
Thu Mar  6 03:49:17 2014  distribution of cycle lengths:
Thu Mar  6 03:49:17 2014  1 relations: 118052
Thu Mar  6 03:49:17 2014  2 relations: 108145
Thu Mar  6 03:49:17 2014  3 relations: 106810
Thu Mar  6 03:49:17 2014  4 relations: 93391
Thu Mar  6 03:49:17 2014  5 relations: 84637
Thu Mar  6 03:49:17 2014  6 relations: 70526
Thu Mar  6 03:49:17 2014  7 relations: 62218
Thu Mar  6 03:49:17 2014  8 relations: 52828
Thu Mar  6 03:49:17 2014  9 relations: 45075
Thu Mar  6 03:49:17 2014  10+ relations: 169776
Thu Mar  6 03:49:17 2014  heaviest cycle: 20 relations
Thu Mar  6 03:49:18 2014  RelProcTime: 158
Thu Mar  6 03:49:18 2014  
Thu Mar  6 03:49:18 2014  commencing linear algebra
Thu Mar  6 03:49:18 2014  read 911458 cycles
Thu Mar  6 03:49:19 2014  cycles contain 3089205 unique relations
Thu Mar  6 03:49:36 2014  read 3089205 relations
Thu Mar  6 03:49:39 2014  using 20 quadratic characters above 134217498
Thu Mar  6 03:49:49 2014  building initial matrix
Thu Mar  6 03:50:10 2014  memory use: 396.2 MB
Thu Mar  6 03:50:10 2014  read 911458 cycles
Thu Mar  6 03:50:10 2014  matrix is 911271 x 911458 (277.1 MB) with weight 87470235 (95.97/col)
Thu Mar  6 03:50:10 2014  sparse part has weight 61710043 (67.70/col)
Thu Mar  6 03:50:17 2014  filtering completed in 2 passes
Thu Mar  6 03:50:17 2014  matrix is 908633 x 908819 (276.8 MB) with weight 87348844 (96.11/col)
Thu Mar  6 03:50:17 2014  sparse part has weight 61667912 (67.85/col)
Thu Mar  6 03:50:19 2014  matrix starts at (0, 0)
Thu Mar  6 03:50:19 2014  matrix is 908633 x 908819 (276.8 MB) with weight 87348844 (96.11/col)
Thu Mar  6 03:50:19 2014  sparse part has weight 61667912 (67.85/col)
Thu Mar  6 03:50:19 2014  saving the first 48 matrix rows for later
Thu Mar  6 03:50:19 2014  matrix includes 64 packed rows
Thu Mar  6 03:50:19 2014  matrix is 908585 x 908819 (266.3 MB) with weight 69400699 (76.36/col)
Thu Mar  6 03:50:19 2014  sparse part has weight 60708434 (66.80/col)
Thu Mar  6 03:50:19 2014  using block size 65536 for processor cache size 8192 kB
Thu Mar  6 03:50:22 2014  commencing Lanczos iteration (8 threads)
Thu Mar  6 03:50:22 2014  memory use: 255.3 MB
Thu Mar  6 03:50:27 2014  linear algebra at 0.3%, ETA 0h24m
Thu Mar  6 04:18:22 2014  lanczos halted after 14370 iterations (dim = 908585)
Thu Mar  6 04:18:23 2014  recovered 31 nontrivial dependencies
Thu Mar  6 04:18:23 2014  BLanczosTime: 1745
Thu Mar  6 04:18:23 2014  
Thu Mar  6 04:18:23 2014  commencing square root phase
Thu Mar  6 04:18:23 2014  reading relations for dependency 1
Thu Mar  6 04:18:23 2014  read 454798 cycles
Thu Mar  6 04:18:23 2014  cycles contain 1546214 unique relations
Thu Mar  6 04:18:36 2014  read 1546214 relations
Thu Mar  6 04:18:41 2014  multiplying 1546214 relations
Thu Mar  6 04:19:47 2014  multiply complete, coefficients have about 69.14 million bits
Thu Mar  6 04:19:47 2014  initial square root is modulo 91823
Thu Mar  6 04:21:11 2014  sqrtTime: 168
--
n: 8699987626332906787087113790075463749485605509036778871463687629440044560443577986502726688498679686153691197101429745526941
skew: 180759.56
c0: 454346071709418745338830749929
c1: 13060386730670371091646855
c2: -163306435156886619547
c3: -1057656035986457
c4: 5270517984
c5: 9828
Y0: -975911231113507453904648
Y1: 7990575417613
rlim: 6700000
alim: 6700000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 20, 2011 00:08:51 UTC 2011 年 4 月 20 日 (水) 9 時 8 分 51 秒 (日本時間)
403e61910 / 2117110Ignacio SantosApril 20, 2011 00:08:51 UTC 2011 年 4 月 20 日 (水) 9 時 8 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:38 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 38 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:44:14 UTC 2014 年 3 月 4 日 (火) 20 時 44 分 14 秒 (日本時間)
4511e632 / 4037Ignacio SantosApril 20, 2011 00:08:51 UTC 2011 年 4 月 20 日 (水) 9 時 8 分 51 秒 (日本時間)

64×10197+179

c160

name 名前Ignacio Santos
date 日付April 20, 2011 10:21:54 UTC 2011 年 4 月 20 日 (水) 19 時 21 分 54 秒 (日本時間)
composite number 合成数
6667169935929987836928193646151256378902246240581603052114593889969699371639753517669358530160497048940554922100551200428795249355992544127058935010201324709937<160>
prime factors 素因数
43858274274907270141981132982431<32>
152016239721144027645490330558565118363305276959884523603484298259593586600088209046099655294610876995043272112806479024258305327<129>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=269647433
Step 1 took 8642ms
Step 2 took 6193ms
********** Factor found in step 2: 43858274274907270141981132982431
Found probable prime factor of 32 digits: 43858274274907270141981132982431
Probable prime cofactor 152016239721144027645490330558565118363305276959884523603484298259593586600088209046099655294610876995043272112806479024258305327 has 129 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
3025e40--
351e6150 / 904Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)

64×10199+179

c108

name 名前Jo Yeong Uk
date 日付November 5, 2009 06:33:52 UTC 2009 年 11 月 5 日 (木) 15 時 33 分 52 秒 (日本時間)
composite number 合成数
110270864950524289144339133459841021143400357504267999886887205650991511373184710031303560333324391658116529<108>
prime factors 素因数
1407294183161809776961599301547364443542425110383681<52>
78356655111566972388515530318074663443442995516794711409<56>
factorization results 素因数分解の結果
Number: 71113_199
N=110270864950524289144339133459841021143400357504267999886887205650991511373184710031303560333324391658116529
  ( 108 digits)
Divisors found:
 r1=1407294183161809776961599301547364443542425110383681
 r2=78356655111566972388515530318074663443442995516794711409
Version: 
Total time: 7.36 hours.
Scaled time: 17.58 units (timescale=2.389).
Factorization parameters were as follows:
name: 71113_199
n: 110270864950524289144339133459841021143400357504267999886887205650991511373184710031303560333324391658116529
skew: 16176.26
# norm 1.23e+15
c5: 35700
c4: -1151299406
c3: -81809870864120
c2: 211043661978170827
c1: 3912276685296992122992
c0: -12446168675693330275146900
# alpha -5.86
Y1: 307474834733
Y0: -314746746576521188279
# Murphy_E 1.37e-09
# M 20791178240142767970955924393944064521478715602414181529369486113938951120512110021307848257334770395712637
type: gnfs
rlim: 2000000
alim: 2000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1000000, 1550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 7458099
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 288207 x 288455
Polynomial selection time: 0.50 hours.
Total sieving time: 6.22 hours.
Total relation processing time: 0.41 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,107,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2000000,2000000,27,27,50,50,2.6,2.6,50000
total time: 7.36 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: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init)
Calibrating delay using timer specific routine.. 5347.57 BogoMIPS (lpj=2673786)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344)
Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672341)
Calibrating delay using timer specific routine.. 5284.81 BogoMIPS (lpj=2642406)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
754Jo Yeong UkNovember 4, 2009 23:56:41 UTC 2009 年 11 月 5 日 (木) 8 時 56 分 41 秒 (日本時間)

64×10200+179

c173

name 名前Robert Backstrom
date 日付October 12, 2012 06:25:56 UTC 2012 年 10 月 12 日 (金) 15 時 25 分 56 秒 (日本時間)
composite number 合成数
10628081311835647743830901421555422588406400850630747271617328038968813081446493247569349699711187435934497300005430015313703240418438826227752485950132960958025820573799393<173>
prime factors 素因数
3560442212941905668225844222679569722408360828207052453161961246431510489<73>
2985045305103807889311329231492522378083960087460020352075217165643569224259890163822531648592721737<100>
factorization results 素因数分解の結果
Number: n
N=10628081311835647743830901421555422588406400850630747271617328038968813081446493247569349699711187435934497300005430015313703240418438826227752485950132960958025820573799393
  ( 173 digits)
SNFS difficulty: 201 digits.
Divisors found:

Fri Oct 12 14:01:21 2012  prp73 factor: 3560442212941905668225844222679569722408360828207052453161961246431510489
Fri Oct 12 14:01:21 2012  prp100 factor: 2985045305103807889311329231492522378083960087460020352075217165643569224259890163822531648592721737
Fri Oct 12 14:01:21 2012  elapsed time 06:06:09 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.101).
Factorization parameters were as follows:
name: KA_71113_200
n: 10628081311835647743830901421555422588406400850630747271617328038968813081446493247569349699711187435934497300005430015313703240418438826227752485950132960958025820573799393
m: 20000000000000000000000000000000000000000
#  c173, diff: 201.81
skew: 1.534
deg: 5
c5: 2
c0: 17
# Murphy_E = 1.468e-11
type: snfs
lss: 1
rlim: 16200000
alim: 16200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 16200000/16200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 27100000)
Primes: RFBsize:1043113, AFBsize:1043370,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8529668 hash collisions in 60843464 relations (54732074 unique)
Msieve: matrix is 2026971 x 2027196 (571.7 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,201,5,0,0,0,0,0,0,0,0,16200000,16200000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.42 BogoMIPS (lpj=2830711)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830460)
Calibrating delay using timer specific routine.. 5660.92 BogoMIPS (lpj=2830461)
Total of 4 processors activated (22644.16 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6450150Lionel DebrouxOctober 22, 2009 15:00:00 UTC 2009 年 10 月 23 日 (金) 0 時 0 分 0 秒 (日本時間)
300Ignacio SantosApril 20, 2011 11:44:24 UTC 2011 年 4 月 20 日 (水) 20 時 44 分 24 秒 (日本時間)
403e6110 / 2117Ignacio SantosApril 20, 2011 11:44:24 UTC 2011 年 4 月 20 日 (水) 20 時 44 分 24 秒 (日本時間)
4511e632 / 4435Ignacio SantosApril 20, 2011 11:44:24 UTC 2011 年 4 月 20 日 (水) 20 時 44 分 24 秒 (日本時間)

64×10201+179

c174

composite cofactor 合成数の残り
125268387862791485795046055460223020614461721752346627018574028902430379150442794846282627579480229478826950863642903764620142417182385626175876928826526150348179002112325769<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:39 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 39 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:48:27 UTC 2014 年 3 月 4 日 (火) 20 時 48 分 27 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:47 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:18 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 18 秒 (日本時間)

64×10202+179

c118

name 名前Serge Batalov
date 日付November 20, 2013 01:39:54 UTC 2013 年 11 月 20 日 (水) 10 時 39 分 54 秒 (日本時間)
composite number 合成数
1092665280031385627636720572624262784381113318352279671230801576568330783516289283152830354220074938106112702729924031<118>
prime factors 素因数
50717339690713926189360817732161584456822597<44>
21544215187443019612079734502194748015566416532284536083210191433915311923<74>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1751427089
Step 1 took 29664ms
Step 2 took 12757ms
********** Factor found in step 2: 50717339690713926189360817732161584456822597
Found probable prime factor of 44 digits: 50717339690713926189360817732161584456822597
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4475400Serge BatalovNovember 19, 2013 18:02:48 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 48 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:02 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 2 秒 (日本時間)

64×10203+179

c188

composite cofactor 合成数の残り
28851154434731356628661861240083166772270960915462084991519982721498178783105948200303912598680125165510546713688298169558539976198069345037737184538323597093644926655114829404940668226289<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:40 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 40 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:48:39 UTC 2014 年 3 月 4 日 (火) 20 時 48 分 39 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:49 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 49 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:19 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 19 秒 (日本時間)

64×10204+179

c201

name 名前Serge Batalov
date 日付May 24, 2014 21:59:02 UTC 2014 年 5 月 25 日 (日) 6 時 59 分 2 秒 (日本時間)
composite number 合成数
306923523290220169671160218874837546338258496746131085118525232470590492084730075148306405589844667923134840136005486257978812685532871988912387721140796370629337093146493638530411805046014550093275977<201>
prime factors 素因数
8014080701951613438194284343585877061091<40>
38298032513632813151126965120754687182457887958428615759608383859774185068328846719027199460911292853866328110668066007550545572999558993586840536571171943051747<161>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3666235736
Step 1 took 59318ms
Step 2 took 27320ms
********** Factor found in step 2: 8014080701951613438194284343585877061091
Found probable prime factor of 40 digits: 8014080701951613438194284343585877061091
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e64100 / 4475400Serge BatalovNovember 19, 2013 18:02:50 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 50 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:19 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 19 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:12 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 12 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:25:56 UTC 2014 年 5 月 24 日 (土) 12 時 25 分 56 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:17 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 17 秒 (日本時間)

64×10205+179

c174

composite cofactor 合成数の残り
112532045652530137868587289229129133875907203953869432022840890017694119128552082436636868425402733364138294658653290498697627859693893873511658771166372324160186480836003599<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:41 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 41 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:48:57 UTC 2014 年 3 月 4 日 (火) 20 時 48 分 57 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:50 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 50 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:19 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 19 秒 (日本時間)

64×10207+179

c177

name 名前Serge Batalov
date 日付November 18, 2013 18:18:52 UTC 2013 年 11 月 19 日 (火) 3 時 18 分 52 秒 (日本時間)
composite number 合成数
100129788687202569515042973729092788728494975354620084272224914469714065610942462248721546121775028875331305785804036074456439517129785837298418987802233102106071206730452315127<177>
prime factors 素因数
42070769972664622850174449799167<32>
composite cofactor 合成数の残り
2380032235023548375467192817206518152175256064623796038506802672789516795626637318466092201013917225964687319758215827474239585143596956855247881<145>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2197849969
Step 1 took 8889ms
Step 2 took 6572ms
********** Factor found in step 2: 42070769972664622850174449799167
Found probable prime factor of 32 digits: 42070769972664622850174449799167
Composite cofactor 

c145

name 名前Serge Batalov
date 日付November 19, 2013 19:17:05 UTC 2013 年 11 月 20 日 (水) 4 時 17 分 5 秒 (日本時間)
composite number 合成数
2380032235023548375467192817206518152175256064623796038506802672789516795626637318466092201013917225964687319758215827474239585143596956855247881<145>
prime factors 素因数
760151479204773861629672539116560023<36>
3130997307948935748852736532279636067759553582692487975998386981811086207788329820433459588879601469177431647<109>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=454856927
Step 1 took 10200ms
Step 2 took 9073ms
********** Factor found in step 2: 760151479204773861629672539116560023
Found probable prime factor of 36 digits: 760151479204773861629672539116560023
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10209+179

c160

composite cofactor 合成数の残り
8440452082611681414566603400031088547803439583733738548725988693315200565236589400402327066423616400500595531700407758232888356693174755520739508173714175687347<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:41 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 41 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:49:09 UTC 2014 年 3 月 4 日 (火) 20 時 49 分 9 秒 (日本時間)
4511e61200 / 4077400Serge BatalovNovember 19, 2013 18:02:51 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 51 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:14:39 UTC 2014 年 3 月 12 日 (水) 22 時 14 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:20 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 20 秒 (日本時間)

64×10210+179

c153

name 名前Dmitry Domanov
date 日付March 14, 2014 07:02:58 UTC 2014 年 3 月 14 日 (金) 16 時 2 分 58 秒 (日本時間)
composite number 合成数
161379528892078600041674706299857059311443223761962667615052890560301820487808508948334093144041086104189955678518286242618036355346425836059244955783657<153>
prime factors 素因数
15448018600024094099304006532912635383478189367<47>
52326870676504195323614338363148297951386733460331<50>
199641533158764075493105761095139502405321585687873973341<57>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2634483647
Step 1 took 60423ms
Step 2 took 23845ms
********** Factor found in step 2: 15448018600024094099304006532912635383478189367
Found probable prime factor of 47 digits: 15448018600024094099304006532912635383478189367
Composite cofactor 10446616687257671881740291806437131489651572585715313194091273879516355068399577731117618350907798975035871 has 107 digits

N=10446616687257671881740291806437131489651572585715313194091273879516355068399577731117618350907798975035871
  ( 107 digits)
Divisors found:
 r1=52326870676504195323614338363148297951386733460331 (pp50)
 r2=199641533158764075493105761095139502405321585687873973341 (pp57)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.59 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 10446616687257671881740291806437131489651572585715313194091273879516355068399577731117618350907798975035871
skew: 2326996.14
c0: 25958027641396690118336198544
c1: 29309195982065765206372
c2: 18559158216281441
c3: -8955517922
c4: 5040
Y0: -37943428260422262256436783
Y1: 56417576983889
rlim: 2780000
alim: 2780000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 2780000/2780000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 52/52
Sieved algebraic special-q in [1390000, 2230001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 338171 x 338397
Total sieving time: 7.39 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
gnfs,106,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2780000,2780000,26,26,52,52,2.5,2.5,150000
total time: 7.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 3, 2014 23:20:31 UTC 2014 年 1 月 4 日 (土) 8 時 20 分 31 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:42 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 42 秒 (日本時間)
4511e61001 / 4345501CypFebruary 18, 2014 02:25:24 UTC 2014 年 2 月 18 日 (火) 11 時 25 分 24 秒 (日本時間)
500Dmitry DomanovMarch 12, 2014 13:14:52 UTC 2014 年 3 月 12 日 (水) 22 時 14 分 52 秒 (日本時間)

64×10211+179

c179

composite cofactor 合成数の残り
42079529184824826214470721319169871371060619696699054507540284639117583955294148763194557900620543393651809475787887830720856935287594556054708553948846373230337538587442332813063<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:43 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 43 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:49:32 UTC 2014 年 3 月 4 日 (火) 20 時 49 分 32 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:52 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 52 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:20 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 20 秒 (日本時間)

64×10212+179

c144

composite cofactor 合成数の残り
706678930180843617755676412768392746664070847678750885431291976714433026511275448330291449736451627161876763276520661992646706819928049827643307<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e63500400Serge BatalovNovember 19, 2013 18:02:53 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 53 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:11 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 11 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:11 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 11 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:54 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 54 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:20 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 20 秒 (日本時間)
5043e61000 / 6767Rich DickersonNovember 24, 2015 07:02:36 UTC 2015 年 11 月 24 日 (火) 16 時 2 分 36 秒 (日本時間)

64×10215+179

c193

name 名前Serge Batalov
date 日付November 19, 2013 08:43:43 UTC 2013 年 11 月 19 日 (火) 17 時 43 分 43 秒 (日本時間)
composite number 合成数
9905012068311877263061718247703340749324655746755910935980237225288504225636526213654331519830852172033095615739779373349624595024139180516975890019336140205486893245139886795367036430885570487<193>
prime factors 素因数
521173587895235113356637456476809171<36>
composite cofactor 合成数の残り
19005207282881256925257657874087483061877731384854645357343871718263913848497606998925274067028410748257813532103723850024042438457124514435452368105842537997<158>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1020077049
Step 1 took 62504ms
Step 2 took 19435ms
********** Factor found in step 2: 521173587895235113356637456476809171
Found probable prime factor of 36 digits: 521173587895235113356637456476809171
Composite cofactor

c158

name 名前Serge Batalov
date 日付November 19, 2013 18:06:20 UTC 2013 年 11 月 20 日 (水) 3 時 6 分 20 秒 (日本時間)
composite number 合成数
19005207282881256925257657874087483061877731384854645357343871718263913848497606998925274067028410748257813532103723850024042438457124514435452368105842537997<158>
prime factors 素因数
2614457784493918726209624761207543001559<40>
7269272961911718090851435963132689396730263541114987121804471470208733641685114113534321752093479310749003071146615483<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4156646255
Step 1 took 67139ms
Step 2 took 22660ms
********** Factor found in step 2: 2614457784493918726209624761207543001559
Found probable prime factor of 40 digits: 2614457784493918726209624761207543001559

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60 / 938--
4511e6400 / 4475Serge BatalovNovember 19, 2013 18:02:54 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 54 秒 (日本時間)

64×10216+179

c192

name 名前Serge Batalov
date 日付November 18, 2013 22:18:40 UTC 2013 年 11 月 19 日 (火) 7 時 18 分 40 秒 (日本時間)
composite number 合成数
911030556483406247887433640077052662039178167399968427587377478535402487704817925823122220495961461508006520783790504020831195427699132392718949600449591165810714758367046004140239439740458777<192>
prime factors 素因数
412960540858104780696790091<27>
2206095901052301046775222926120908407925214756305960167801558969325034870184712045061458113966458314531539457959242726816605686065366429187684150060347651440880069547<166>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2034907901
Step 1 took 8913ms
Step 2 took 6824ms
********** Factor found in step 2: 412960540858104780696790091
Found probable prime factor of 27 digits: 412960540858104780696790091
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10217+179

c134

name 名前Serge Batalov
date 日付November 18, 2013 19:55:05 UTC 2013 年 11 月 19 日 (火) 4 時 55 分 5 秒 (日本時間)
composite number 合成数
11232193298570866640691242972712172638060794171432698322227894544208384295383289676973756061510238974998326470899615622167809926924499<134>
prime factors 素因数
3197042837658599401022843210563<31>
176415262322355590097590013328195560055999100189<48>
19914983846245738355275783090297305976474879715221009957<56>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=2641704054
Step 1 took 5680ms
Step 2 took 4593ms
********** Factor found in step 2: 3197042837658599401022843210563
Found probable prime factor of 31 digits: 3197042837658599401022843210563
Composite cofactor has 103 digits

N=3513307099380916017869944167616444446729550547995026353787049140105975134819764593817576044859809581873
  ( 103 digits)
Divisors found:
 r1=176415262322355590097590013328195560055999100189 (pp48)
 r2=19914983846245738355275783090297305976474879715221009957 (pp56)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 3.35 hours.
Scaled time: 8.04 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  3513307099380916017869944167616444446729550547995026353787049140105975134819764593817576044859809581873
skew:  15783818.97
Y0:  -16448212883687751314040079
Y1:  53688847615
c0:  -583775932457737313094548086740
c1:  201264019715620027714812
c2:  -6750709916171525
c3:  94458526
c4:  48
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Pruned matrix : 344919 x 345145
Total sieving time: 3.10 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.04 hours.
total time: 3.35 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10218+179

c170

name 名前Cyp
date 日付February 15, 2014 16:51:35 UTC 2014 年 2 月 16 日 (日) 1 時 51 分 35 秒 (日本時間)
composite number 合成数
22197730907711623030562624306325628798573428486705339415677170015435773932887061075794317740739938637829575235337940662097056200498144089436348807513097789675807951428293<170>
prime factors 素因数
26795878646893914160588881642013354807<38>
composite cofactor 合成数の残り
828400934346099803750603433320109786022600185865872206641663490805577883738980426387687307957193852845175891828119170821213486563299<132>
factorization results 素因数分解の結果
Run 10 out of 501:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3543524825
Step 1 took 50097ms
Step 2 took 17067ms
********** Factor found in step 2: 26795878646893914160588881642013354807
Found probable prime factor of 38 digits: 26795878646893914160588881642013354807
Composite cofactor 828400934346099803750603433320109786022600185865872206641663490805577883738980426387687307957193852845175891828119170821213486563299 has 132 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c132

name 名前Erik Branger
date 日付March 19, 2014 06:10:19 UTC 2014 年 3 月 19 日 (水) 15 時 10 分 19 秒 (日本時間)
composite number 合成数
828400934346099803750603433320109786022600185865872206641663490805577883738980426387687307957193852845175891828119170821213486563299<132>
prime factors 素因数
185009553664335329178914028478154220002479<42>
4477611658093483361563097835546959094417101736791732342476937815604470691278641910234637581<91>
factorization results 素因数分解の結果
Number: 71113_218
N = 828400934346099803750603433320109786022600185865872206641663490805577883738980426387687307957193852845175891828119170821213486563299 (132 digits)
Divisors found:
r1=185009553664335329178914028478154220002479 (pp42)
r2=4477611658093483361563097835546959094417101736791732342476937815604470691278641910234637581 (pp91)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 64.62 hours.
Factorization parameters were as follows:
# Murphy_E = 6.212e-11, selected by Erik Branger
# expecting poly E from 6.36e-011 to > 7.31e-011
n: 828400934346099803750603433320109786022600185865872206641663490805577883738980426387687307957193852845175891828119170821213486563299
Y0: -58706560814858863325725670
Y1: 35760563294707
c0: -3750255885867809156612157700773
c1: 9760124360135937431574093
c2: 2259270943580596635629
c3: -3586935941799269
c4: -40665686148
c5: 1188
skew: 241877.06
type: gnfs
# selected mechanically
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19836809
Relations: 2771258 relations
Pruned matrix : 1641144 x 1641375
Polynomial selection time: 0.00 hours.
Total sieving time: 62.57 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 1.86 hours.
time per square root: 0.07 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,11000000,11000000,28,28,54,54,2.6,2.6,100000
total time: 64.62 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
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 KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6590290CypJanuary 1, 2014 06:34:13 UTC 2014 年 1 月 1 日 (水) 15 時 34 分 13 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:59:44 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 44 秒 (日本時間)
4511e6501 / 4345CypFebruary 15, 2014 16:51:33 UTC 2014 年 2 月 16 日 (日) 1 時 51 分 33 秒 (日本時間)

64×10219+179

c198

composite cofactor 合成数の残り
206235792055886291763480669989393897357766585540362475176466585152171793446475864030243581605846975255744188452382586152588530109631722592635343678029704480808455917741337183975949278968786767602471<198>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:59:44 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 44 秒 (日本時間)
4511e6895 / 4409400Serge BatalovNovember 19, 2013 18:02:56 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 56 秒 (日本時間)
195CypJanuary 10, 2014 09:30:11 UTC 2014 年 1 月 10 日 (金) 18 時 30 分 11 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:21 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 21 秒 (日本時間)

64×10220+179

c206

name 名前Serge Batalov
date 日付January 9, 2014 17:26:48 UTC 2014 年 1 月 10 日 (金) 2 時 26 分 48 秒 (日本時間)
composite number 合成数
82329708990890049728010074952054995434545521194396035510935630260428299955449876309273495478111786713251425101220579454918813368797837446961275032591732665501345279480798651012885957091412599003113209351417<206>
prime factors 素因数
86589764074026739458696292988128585385299<41>
composite cofactor 合成数の残り
950801862914250325768456844630677455032195802347487012387062883345935443943432191632078484974015254366794377645119050039968911653560070255813466997715504897356148483<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3771618226
Step 1 took 16735ms
Step 2 took 6179ms
********** Factor found in step 2: 86589764074026739458696292988128585385299
Found probable prime factor of 41 digits: 86589764074026739458696292988128585385299
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:59:45 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 45 秒 (日本時間)
4511e6700 / 4082400Serge BatalovNovember 19, 2013 18:02:56 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:21 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 21 秒 (日本時間)
5043e693 / 7384CypFebruary 11, 2014 22:02:15 UTC 2014 年 2 月 12 日 (水) 7 時 2 分 15 秒 (日本時間)

64×10224+179

c170

name 名前Serge Batalov
date 日付May 27, 2014 06:53:00 UTC 2014 年 5 月 27 日 (火) 15 時 53 分 0 秒 (日本時間)
composite number 合成数
48210237729670211211642547351372207819445388764724666374835514345559350488661951743911887296775613569376957486531546163677119068258754320138710724885078220114164191336723<170>
prime factors 素因数
49776991057373212573782418362827981658314237<44>
968524547297421944942818541575516614455322467263137332860054739845102710736562354396554264329132145925685892019098367832576079<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=2126120679
Step 1 took 42641ms
Step 2 took 25829ms
********** Factor found in step 2: 49776991057373212573782418362827981658314237
Found probable prime factor of 44 digits: 49776991057373212573782418362827981658314237
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:59:46 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 46 秒 (日本時間)
4511e6895 / 4409400Serge BatalovNovember 19, 2013 18:02:57 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 57 秒 (日本時間)
195CypJanuary 9, 2014 12:18:40 UTC 2014 年 1 月 9 日 (木) 21 時 18 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:22 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 22 秒 (日本時間)

64×10225+179

c183

composite cofactor 合成数の残り
166112158773062846902119438235520516512973247212613711550271842294663120707761108528063079233496133332980017561032386353646600397446119175442770020505038514361477747665573025142288417<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:47 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 47 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:50:20 UTC 2014 年 3 月 4 日 (火) 20 時 50 分 20 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:58 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 58 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:22 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 22 秒 (日本時間)

64×10226+179

c184

composite cofactor 合成数の残り
1233978474876269888232602091397197931075175363550546519210021947984167412946895821117908424959715776302683255059595564342035667322159571631288932183500496784978776488355149653845146409<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:48 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 48 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:50:36 UTC 2014 年 3 月 4 日 (火) 20 時 50 分 36 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:02:59 UTC 2013 年 11 月 20 日 (水) 3 時 2 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:22 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 22 秒 (日本時間)

64×10230+179

c210

name 名前Serge Batalov
date 日付November 19, 2013 09:35:17 UTC 2013 年 11 月 19 日 (火) 18 時 35 分 17 秒 (日本時間)
composite number 合成数
114812144518169620761011694674773969330575117936675963434330378195135518538610220211043814971030196021178786382847655553199619958477979118112666232890929008840480153291846161773485716854885701711603590276721723<210>
prime factors 素因数
369638543218794941403446492595467359<36>
composite cofactor 合成数の残り
310606527983772741121518203071626451091533428214092009685052130474921239579444406451463394207944045392876741166107925247566904062203020156997887994283976917780508048660428197<174>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3308436424
Step 1 took 66531ms
Step 2 took 24055ms
********** Factor found in step 2: 369638543218794941403446492595467359
Found probable prime factor of 36 digits: 369638543218794941403446492595467359
Composite cofactor

c174

name 名前Serge Batalov
date 日付January 9, 2014 10:47:01 UTC 2014 年 1 月 9 日 (木) 19 時 47 分 1 秒 (日本時間)
composite number 合成数
310606527983772741121518203071626451091533428214092009685052130474921239579444406451463394207944045392876741166107925247566904062203020156997887994283976917780508048660428197<174>
prime factors 素因数
232770769366748306054089047989951713<36>
1334388028311184520422044321436591492996330581158683808260109591342729615180767985279707165663524016255651419448699225418634648602751520069<139>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3747765600
Step 1 took 16113ms
********** Factor found in step 1: 232770769366748306054089047989951713
Found probable prime factor of 36 digits: 232770769366748306054089047989951713
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300 / 938Serge BatalovJanuary 9, 2014 04:59:48 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 48 秒 (日本時間)
4511e6400 / 4409Serge BatalovNovember 19, 2013 18:03:00 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 0 秒 (日本時間)

64×10231+179

c208

composite cofactor 合成数の残り
1013798010869193908666053441727624914925671595972886107293336316528401220139713906433284421380601948665405773694743728552746326749472402775568046320070475017443061234587209274447983755646505065376282591838447<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:49 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 49 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:50:46 UTC 2014 年 3 月 4 日 (火) 20 時 50 分 46 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:01 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 1 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:23 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 23 秒 (日本時間)

64×10232+179

c170

name 名前Serge Batalov
date 日付November 19, 2013 08:14:20 UTC 2013 年 11 月 19 日 (火) 17 時 14 分 20 秒 (日本時間)
composite number 合成数
52893346874478225442338580241893324350549296406613542646842765965962738412264731626079107486950055134617101997303456423930270006476465941406240941364609062149683617060363<170>
prime factors 素因数
1810227168138898632710384644752341708929<40>
composite cofactor 合成数の残り
29219176358323068653250877502381701342095372290797892638075135095881391810832126286305741018041389495570785724147285942129744478347<131>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2339334777
Step 1 took 40112ms
********** Factor found in step 1: 1810227168138898632710384644752341708929
Found probable prime factor of 40 digits: 1810227168138898632710384644752341708929
Composite cofactor

c131

name 名前Cyp
date 日付January 31, 2014 08:41:38 UTC 2014 年 1 月 31 日 (金) 17 時 41 分 38 秒 (日本時間)
composite number 合成数
29219176358323068653250877502381701342095372290797892638075135095881391810832126286305741018041389495570785724147285942129744478347<131>
prime factors 素因数
5545473695881267032132925419281401139571523561559<49>
5269013606542706839031356116143895891551029046707334671214888460250519879901649133<82>
factorization results 素因数分解の結果
01/30/14 09:50:58 v1.34.3, 
01/30/14 09:50:58 v1.34.3, ****************************
01/30/14 09:50:58 v1.34.3, Starting factorization of 29219176358323068653250877502381701342095372290797892638075135095881391810832126286305741018041389495570785724147285942129744478347
01/30/14 09:50:58 v1.34.3, using pretesting plan: none
01/30/14 09:50:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/30/14 09:50:58 v1.34.3, ****************************
01/30/14 09:50:58 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
01/30/14 09:50:58 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
01/30/14 09:50:58 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
01/30/14 09:50:58 v1.34.3, final ECM pretested depth: 0.00
01/30/14 09:50:58 v1.34.3, scheduler: switching to sieve method
01/30/14 09:50:58 v1.34.3, nfs: commencing nfs on c131: 29219176358323068653250877502381701342095372290797892638075135095881391810832126286305741018041389495570785724147285942129744478347
01/30/14 09:50:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/30/14 09:50:58 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/30/14 10:07:26 v1.34.3, nfs: commencing lattice sieving with 6 threads
[72 lines snipped]
01/31/14 07:58:10 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/31/14 08:16:14 v1.34.3, nfs: commencing lattice sieving with 6 threads
01/31/14 08:34:39 v1.34.3, nfs: commencing msieve filtering
01/31/14 08:39:56 v1.34.3, nfs: commencing msieve linear algebra
01/31/14 09:37:22 v1.34.3, nfs: commencing msieve sqrt
01/31/14 09:41:36 v1.34.3, prp82 = 5269013606542706839031356116143895891551029046707334671214888460250519879901649133
01/31/14 09:41:36 v1.34.3, prp49 = 5545473695881267032132925419281401139571523561559
01/31/14 09:41:36 v1.34.3, NFS elapsed time = 85837.8209 seconds.
01/31/14 09:41:36 v1.34.3, 
01/31/14 09:41:36 v1.34.3, 
01/31/14 09:41:36 v1.34.3, Total factoring time = 85837.8480 seconds
--
Fri Jan 31 08:34:39 2014  
Fri Jan 31 08:34:39 2014  commencing relation filtering
Fri Jan 31 08:34:39 2014  estimated available RAM is 15988.7 MB
Fri Jan 31 08:34:39 2014  commencing duplicate removal, pass 1
Fri Jan 31 08:36:21 2014  found 3050128 hash collisions in 21218973 relations
Fri Jan 31 08:36:41 2014  added 120066 free relations
Fri Jan 31 08:36:41 2014  commencing duplicate removal, pass 2
Fri Jan 31 08:37:01 2014  found 2128278 duplicates and 19210761 unique relations
Fri Jan 31 08:37:01 2014  memory use: 82.6 MB
Fri Jan 31 08:37:01 2014  reading ideals above 720000
Fri Jan 31 08:37:01 2014  commencing singleton removal, initial pass
Fri Jan 31 08:38:52 2014  memory use: 376.5 MB
Fri Jan 31 08:38:52 2014  reading all ideals from disk
Fri Jan 31 08:38:52 2014  memory use: 594.9 MB
Fri Jan 31 08:38:53 2014  keeping 20057475 ideals with weight <= 200, target excess is 120228
Fri Jan 31 08:38:54 2014  commencing in-memory singleton removal
Fri Jan 31 08:38:55 2014  begin with 19210761 relations and 20057475 unique ideals
Fri Jan 31 08:39:03 2014  reduce to 8410139 relations and 7596243 ideals in 15 passes
Fri Jan 31 08:39:03 2014  max relations containing the same ideal: 113
Fri Jan 31 08:39:06 2014  removing 1858866 relations and 1521650 ideals in 337216 cliques
Fri Jan 31 08:39:07 2014  commencing in-memory singleton removal
Fri Jan 31 08:39:07 2014  begin with 6551273 relations and 7596243 unique ideals
Fri Jan 31 08:39:11 2014  reduce to 6217744 relations and 5724168 ideals in 11 passes
Fri Jan 31 08:39:11 2014  max relations containing the same ideal: 94
Fri Jan 31 08:39:13 2014  removing 1453214 relations and 1115998 ideals in 337216 cliques
Fri Jan 31 08:39:13 2014  commencing in-memory singleton removal
Fri Jan 31 08:39:13 2014  begin with 4764530 relations and 5724168 unique ideals
Fri Jan 31 08:39:16 2014  reduce to 4489357 relations and 4317692 ideals in 11 passes
Fri Jan 31 08:39:16 2014  max relations containing the same ideal: 79
Fri Jan 31 08:39:17 2014  removing 232473 relations and 200273 ideals in 32200 cliques
Fri Jan 31 08:39:17 2014  commencing in-memory singleton removal
Fri Jan 31 08:39:17 2014  begin with 4256884 relations and 4317692 unique ideals
Fri Jan 31 08:39:19 2014  reduce to 4249285 relations and 4109753 ideals in 6 passes
Fri Jan 31 08:39:19 2014  max relations containing the same ideal: 77
Fri Jan 31 08:39:19 2014  relations with 0 large ideals: 448
Fri Jan 31 08:39:19 2014  relations with 1 large ideals: 1616
Fri Jan 31 08:39:19 2014  relations with 2 large ideals: 26801
Fri Jan 31 08:39:19 2014  relations with 3 large ideals: 171525
Fri Jan 31 08:39:19 2014  relations with 4 large ideals: 572122
Fri Jan 31 08:39:19 2014  relations with 5 large ideals: 1083332
Fri Jan 31 08:39:19 2014  relations with 6 large ideals: 1211398
Fri Jan 31 08:39:19 2014  relations with 7+ large ideals: 1182043
Fri Jan 31 08:39:19 2014  commencing 2-way merge
Fri Jan 31 08:39:21 2014  reduce to 2509852 relation sets and 2370320 unique ideals
Fri Jan 31 08:39:21 2014  commencing full merge
Fri Jan 31 08:39:45 2014  memory use: 290.7 MB
Fri Jan 31 08:39:46 2014  found 1297216 cycles, need 1278520
Fri Jan 31 08:39:46 2014  weight of 1278520 cycles is about 89865551 (70.29/cycle)
Fri Jan 31 08:39:46 2014  distribution of cycle lengths:
Fri Jan 31 08:39:46 2014  1 relations: 157029
Fri Jan 31 08:39:46 2014  2 relations: 142470
Fri Jan 31 08:39:46 2014  3 relations: 140506
Fri Jan 31 08:39:46 2014  4 relations: 130898
Fri Jan 31 08:39:46 2014  5 relations: 121745
Fri Jan 31 08:39:46 2014  6 relations: 107743
Fri Jan 31 08:39:46 2014  7 relations: 94344
Fri Jan 31 08:39:46 2014  8 relations: 81919
Fri Jan 31 08:39:46 2014  9 relations: 69477
Fri Jan 31 08:39:46 2014  10+ relations: 232389
Fri Jan 31 08:39:46 2014  heaviest cycle: 20 relations
Fri Jan 31 08:39:46 2014  commencing cycle optimization
Fri Jan 31 08:39:48 2014  start with 7444013 relations
Fri Jan 31 08:39:55 2014  pruned 176714 relations
Fri Jan 31 08:39:55 2014  memory use: 247.7 MB
Fri Jan 31 08:39:55 2014  distribution of cycle lengths:
Fri Jan 31 08:39:55 2014  1 relations: 157029
Fri Jan 31 08:39:55 2014  2 relations: 145492
Fri Jan 31 08:39:55 2014  3 relations: 145306
Fri Jan 31 08:39:55 2014  4 relations: 133958
Fri Jan 31 08:39:55 2014  5 relations: 124753
Fri Jan 31 08:39:55 2014  6 relations: 109562
Fri Jan 31 08:39:55 2014  7 relations: 95642
Fri Jan 31 08:39:55 2014  8 relations: 82387
Fri Jan 31 08:39:55 2014  9 relations: 69040
Fri Jan 31 08:39:55 2014  10+ relations: 215351
Fri Jan 31 08:39:55 2014  heaviest cycle: 20 relations
Fri Jan 31 08:39:56 2014  RelProcTime: 317
Fri Jan 31 08:39:56 2014  
Fri Jan 31 08:39:56 2014  commencing linear algebra
Fri Jan 31 08:39:56 2014  read 1278520 cycles
Fri Jan 31 08:39:58 2014  cycles contain 4143272 unique relations
Fri Jan 31 08:40:33 2014  read 4143272 relations
Fri Jan 31 08:40:37 2014  using 20 quadratic characters above 268433762
Fri Jan 31 08:40:54 2014  building initial matrix
Fri Jan 31 08:41:37 2014  memory use: 532.8 MB
Fri Jan 31 08:41:37 2014  read 1278520 cycles
Fri Jan 31 08:41:38 2014  matrix is 1278388 x 1278520 (388.4 MB) with weight 123739090 (96.78/col)
Fri Jan 31 08:41:38 2014  sparse part has weight 86472415 (67.63/col)
Fri Jan 31 08:41:48 2014  filtering completed in 2 passes
Fri Jan 31 08:41:48 2014  matrix is 1277424 x 1277590 (388.3 MB) with weight 123700898 (96.82/col)
Fri Jan 31 08:41:48 2014  sparse part has weight 86462377 (67.68/col)
Fri Jan 31 08:41:53 2014  matrix starts at (0, 0)
Fri Jan 31 08:41:53 2014  matrix is 1277424 x 1277590 (388.3 MB) with weight 123700898 (96.82/col)
Fri Jan 31 08:41:53 2014  sparse part has weight 86462377 (67.68/col)
Fri Jan 31 08:41:53 2014  saving the first 48 matrix rows for later
Fri Jan 31 08:41:53 2014  matrix includes 64 packed rows
Fri Jan 31 08:41:53 2014  matrix is 1277376 x 1277590 (375.3 MB) with weight 98780953 (77.32/col)
Fri Jan 31 08:41:53 2014  sparse part has weight 85596461 (67.00/col)
Fri Jan 31 08:41:53 2014  using block size 65536 for processor cache size 8192 kB
Fri Jan 31 08:41:58 2014  commencing Lanczos iteration (6 threads)
Fri Jan 31 08:41:58 2014  memory use: 342.2 MB
Fri Jan 31 08:42:02 2014  linear algebra at 0.1%, ETA 0h56m
Fri Jan 31 08:42:04 2014  checkpointing every 1220000 dimensions
Fri Jan 31 09:37:21 2014  lanczos halted after 20201 iterations (dim = 1277372)
Fri Jan 31 09:37:22 2014  recovered 29 nontrivial dependencies
Fri Jan 31 09:37:22 2014  BLanczosTime: 3446
Fri Jan 31 09:37:22 2014  
Fri Jan 31 09:37:22 2014  commencing square root phase
Fri Jan 31 09:37:22 2014  reading relations for dependency 1
Fri Jan 31 09:37:22 2014  read 637886 cycles
Fri Jan 31 09:37:23 2014  cycles contain 2070986 unique relations
Fri Jan 31 09:37:49 2014  read 2070986 relations
Fri Jan 31 09:37:55 2014  multiplying 2070986 relations
Fri Jan 31 09:39:32 2014  multiply complete, coefficients have about 96.11 million bits
Fri Jan 31 09:39:33 2014  initial square root is modulo 7912889
Fri Jan 31 09:41:36 2014  sqrtTime: 254
--
# Murphy_E = 6.819e-11, selected by Erik Branger
n: 29219176358323068653250877502381701342095372290797892638075135095881391810832126286305741018041389495570785724147285942129744478347
Y0: -26259605726350349901981533
Y1: 46237214963627
c0: 8703490355062215737840157621888
c1: 1032976380626738225902117926
c2: -20734919346068307947421
c3: -17444529071504254
c4: 33987664106
c5: 2340
skew: 704215.26
type: gnfs
# selected mechanically
rlim: 10100000
alim: 10100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4475400Serge BatalovNovember 19, 2013 18:03:02 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 2 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:08 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 8 秒 (日本時間)

64×10234+179

c186

name 名前Serge Batalov
date 日付November 19, 2013 08:42:21 UTC 2013 年 11 月 19 日 (火) 17 時 42 分 21 秒 (日本時間)
composite number 合成数
339915640431693856933882020107478870490207282305176764705476490547353289159806426312485941907681287504807206029567819481971865659399172799698034481780867525895286890703084475768617259097<186>
prime factors 素因数
4406650601650274723461536149246002471<37>
77136962096426859470441833726190100932622297006317886801593438104421904113736282648545409876115174308326240553778567386870382984394601024728222215807<149>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2167219805
Step 1 took 59774ms
Step 2 took 20824ms
********** Factor found in step 2: 4406650601650274723461536149246002471
Found probable prime factor of 37 digits: 4406650601650274723461536149246002471
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10235+179

c218

composite cofactor 合成数の残り
14836256277836957077784853552238418171297455122653895829712158187832322888079560799259429389917590626083814470889604442089558284650472962969455434227397548518310983804110503251774285535395639914602479803043240859320487<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:50 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 50 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:50:57 UTC 2014 年 3 月 4 日 (火) 20 時 50 分 57 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:03 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:23 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 23 秒 (日本時間)

64×10236+179

c228

composite cofactor 合成数の残り
725252164111973907688108872797880039060436143223585627278476491888658713456472309522383375326855809582185912309444219323339687821681099978543652698113601182485759158998605848784813408339714456000223737572932928530619627756849873<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:51 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 51 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:51:13 UTC 2014 年 3 月 4 日 (火) 20 時 51 分 13 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:04 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:24 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 24 秒 (日本時間)

64×10237+179

c215

name 名前Dmitry Domanov
date 日付March 5, 2014 06:00:28 UTC 2014 年 3 月 5 日 (水) 15 時 0 分 28 秒 (日本時間)
composite number 合成数
13155716318037445170114240941552480846665515251996507275408608071833086159042258819196994556894628157363440790740365626566254065926888610118643479374212671699318379306321602077297265165508986304346935435056377315287<215>
prime factors 素因数
52138806104075453697047486058453277327711<41>
composite cofactor 合成数の残り
252321011949852119247518657954836739331839486638211798745972851003275617753480448691157157291691122360772527526720534747983590768254054536801880974881381602293765294535982217<174>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3848483668
Step 1 took 30774ms
Step 2 took 13704ms
********** Factor found in step 2: 52138806104075453697047486058453277327711
Found probable prime factor of 41 digits: 52138806104075453697047486058453277327711

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:53 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 53 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:51:23 UTC 2014 年 3 月 4 日 (火) 20 時 51 分 23 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:05 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 5 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:24 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 24 秒 (日本時間)

64×10238+179

c215

composite cofactor 合成数の残り
18741434087792820903858754105032226119932819761344924463540974223049282976133924914399004082933066880414376548289986436138540090748623396308748391970663285013895845416369426131462964783021459867950863363233968818883<215>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:54 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 54 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:51:34 UTC 2014 年 3 月 4 日 (火) 20 時 51 分 34 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:06 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 6 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:24 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 24 秒 (日本時間)

64×10239+179

c229

composite cofactor 合成数の残り
2580805601223746507461302586422889262142332305995079697527123819148487995684322518641682316592079545624546276769119622718748090922864006483362332523876777889733088063034258871303431011406563269055457125556859188964959838647383513<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:54 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 54 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:51:48 UTC 2014 年 3 月 4 日 (火) 20 時 51 分 48 秒 (日本時間)
4511e6700 / 4077400Serge BatalovNovember 19, 2013 18:03:07 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 7 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:25 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 25 秒 (日本時間)

64×10240+179

c211

composite cofactor 合成数の残り
3819444508269912553499172999458625648982665705892743134522427337230296203320326242891186234313600381398764419354756728525623304879083080304630285016689042006158303200511830019992251725089286862030615322519458737<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:14 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 14 秒 (日本時間)
403e61800300Serge BatalovJanuary 9, 2014 04:59:55 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 55 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:51:58 UTC 2014 年 3 月 4 日 (火) 20 時 51 分 58 秒 (日本時間)
4511e6387 / 404087CypMarch 8, 2014 15:54:19 UTC 2014 年 3 月 9 日 (日) 0 時 54 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:25 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 25 秒 (日本時間)

64×10241+179

c201

name 名前Serge Batalov
date 日付November 19, 2013 08:12:31 UTC 2013 年 11 月 19 日 (火) 17 時 12 分 31 秒 (日本時間)
composite number 合成数
557225041926782664236596715624068827622983083514444853710379711653900458366111502980543841916646625075879861649214191578930249999884995523900236208411654131977515238306262418687776017044527851606518719<201>
prime factors 素因数
292314139653543181616971963184836369<36>
composite cofactor 合成数の残り
1906254150371300588482239760685644747191151831453851730313758069514486886092563421674993215114830994268233466024918938368473078363554694670163368417190470008170483151<166>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3987396511
Step 1 took 66545ms
Step 2 took 23296ms
********** Factor found in step 2: 292314139653543181616971963184836369
Found probable prime factor of 36 digits: 292314139653543181616971963184836369
Composite cofactor

c166

name 名前Erik Branger
date 日付March 3, 2014 09:54:51 UTC 2014 年 3 月 3 日 (月) 18 時 54 分 51 秒 (日本時間)
composite number 合成数
1906254150371300588482239760685644747191151831453851730313758069514486886092563421674993215114830994268233466024918938368473078363554694670163368417190470008170483151<166>
prime factors 素因数
5624380140813117662330542562307359644800480456639679<52>
338926975532580747366842581097813566671072524829353341956943442297804406043540398224256949716370427468733439830769<114>
factorization results 素因数分解の結果
GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Input number is 1906254150371300588482239760685644747191151831453851730313758069514486886092563421674993215114830994268233466024918938368473078363554694670163368417190470008170483151 (166 digits)
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=1:2038489207
Step 1 took 195204ms
Step 2 took 85036ms
********** Factor found in step 2: 5624380140813117662330542562307359644800480456639679
Found probable prime factor of 52 digits: 5624380140813117662330542562307359644800480456639679
Probable prime cofactor 338926975532580747366842581097813566671072524829353341956943442297804406043540398224256949716370427468733439830769 has 114 digits
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 KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61400 / 4475400Serge BatalovNovember 19, 2013 18:03:08 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 8 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:18 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 18 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:59 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 59 秒 (日本時間)

64×10244+179

c155

name 名前Serge Batalov
date 日付November 19, 2013 08:06:49 UTC 2013 年 11 月 19 日 (火) 17 時 6 分 49 秒 (日本時間)
composite number 合成数
71150329897404538945257567095473079340810334616527991702417265932207107327943784319212976059481711197717287556549255307565892777252636686168627697129963907<155>
prime factors 素因数
30166351977295165000421882413637729363<38>
composite cofactor 合成数の残り
2358599075915978895760657116122289079099981350826405426586137506480466763572716906878737632566684211691180975150006289<118>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3320557969
Step 1 took 41822ms
Step 2 took 15114ms
********** Factor found in step 2: 30166351977295165000421882413637729363
Found probable prime factor of 38 digits: 30166351977295165000421882413637729363
Composite cofactor

c118

name 名前Dmitry Domanov
date 日付November 20, 2013 05:07:23 UTC 2013 年 11 月 20 日 (水) 14 時 7 分 23 秒 (日本時間)
composite number 合成数
2358599075915978895760657116122289079099981350826405426586137506480466763572716906878737632566684211691180975150006289<118>
prime factors 素因数
228124783557498699626202141847376525236516091082437<51>
10339074251971818620634565640992759099361746300690441186714266392797<68>
factorization results 素因数分解の結果
N=2358599075915978895760657116122289079099981350826405426586137506480466763572716906878737632566684211691180975150006289
  ( 118 digits)
Divisors found:
 r1=228124783557498699626202141847376525236516091082437 (pp51)
 r2=10339074251971818620634565640992759099361746300690441186714266392797 (pp68)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 32.29 hours.
Scaled time: 37.55 units (timescale=1.163).
Factorization parameters were as follows:
n: 2358599075915978895760657116122289079099981350826405426586137506480466763572716906878737632566684211691180975150006289
skew: 53128.77
c0: 7068837993263017129288841760
c1: -596717781483338837458266
c2: 2229709796960471783
c3: 184896658454752
c4: 5756766032
c5: 48720
Y0: -34434136860289681499941
Y1: 562395507013
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 200000
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 3800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 635760 x 635989
Total sieving time: 31.01 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.58 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 32.29 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61000 / 4475400Serge BatalovNovember 19, 2013 18:03:09 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 9 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:03 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 3 秒 (日本時間)

64×10246+179

c244

composite cofactor 合成数の残り
1031941824279656234379786839516922233509085925280962285751140779438559151227849529982747222625324497331462938776826456408519969686708911785098115093761589190409390670600944871732856060239603992324932681920056756800335381092890888276173430722843<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e60--
4511e61400400Serge BatalovNovember 19, 2013 18:03:10 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 10 秒 (日本時間)
600Serge BatalovNovember 20, 2013 01:03:32 UTC 2013 年 11 月 20 日 (水) 10 時 3 分 32 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:12 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 12 秒 (日本時間)
5043e63775 / 7239775Serge BatalovNovember 25, 2013 02:18:09 UTC 2013 年 11 月 25 日 (月) 11 時 18 分 9 秒 (日本時間)
3000Serge BatalovJanuary 28, 2014 08:28:41 UTC 2014 年 1 月 28 日 (火) 17 時 28 分 41 秒 (日本時間)

64×10247+179

c206

name 名前Serge Batalov
date 日付November 18, 2013 20:17:37 UTC 2013 年 11 月 19 日 (火) 5 時 17 分 37 秒 (日本時間)
composite number 合成数
29819802794452728057789280793544387897646796830629156127870217200613292746500726131926419257558714330574820099117759018935455443811525864826352280838870267760625796065841238127433098310885127260508563567849<206>
prime factors 素因数
10105704749121584034566374360763<32>
composite cofactor 合成数の残り
2950789037948565463418058926399211621347677035900349505642215403687366463707981503723417765404290193706837992563816539391816424524754852143120851513468635163295192882981438123<175>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3715994847
Step 1 took 10469ms
Step 2 took 7372ms
********** Factor found in step 2: 10105704749121584034566374360763
Found probable prime factor of 32 digits: 10105704749121584034566374360763
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
800Serge BatalovJanuary 6, 2014 20:26:14 UTC 2014 年 1 月 7 日 (火) 5 時 26 分 14 秒 (日本時間)
403e63100300Serge BatalovJanuary 9, 2014 04:59:56 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 56 秒 (日本時間)
1500Dmitry DomanovMarch 4, 2014 11:52:16 UTC 2014 年 3 月 4 日 (火) 20 時 52 分 16 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:07:16 UTC 2014 年 5 月 27 日 (火) 3 時 7 分 16 秒 (日本時間)

64×10248+179

c243

composite cofactor 合成数の残り
155946000480947212108271261342665336934613815689907420951155105427171792331487005787326643785977077351189930118404193855790934113375227739031288298906182569345348680271639414250252931011170680046638575431336281541205550790674243985363785591111<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:59:57 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 57 秒 (日本時間)
4511e62200 / 3005400Serge BatalovNovember 19, 2013 18:03:10 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 10 秒 (日本時間)
1500Dmitry DomanovFebruary 28, 2014 19:26:19 UTC 2014 年 3 月 1 日 (土) 4 時 26 分 19 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:35:26 UTC 2014 年 5 月 27 日 (火) 9 時 35 分 26 秒 (日本時間)
5043e6400 / 7048Dmitry DomanovMarch 7, 2014 11:36:14 UTC 2014 年 3 月 7 日 (金) 20 時 36 分 14 秒 (日本時間)

64×10249+179

c229

name 名前Serge Batalov
date 日付November 19, 2013 08:43:07 UTC 2013 年 11 月 19 日 (火) 17 時 43 分 7 秒 (日本時間)
composite number 合成数
7067760642522177699728699365239935118739788006117025709231903124171366356719030677377027955118615091232125609097472350757842148976265080211528020836312529288525191447377824870912483906415148621708300978517736730508644742094072773<229>
prime factors 素因数
1477440140880156498519586807081104427<37>
4783788152873452774496920952727336798910943167128863780078258120765559114007550254757164903935005789770042787432262391456357199215287247515789904986813295960234425490885427292065244866484123599<193>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1707525790
Step 1 took 78289ms
Step 2 took 27165ms
********** Factor found in step 2: 1477440140880156498519586807081104427
Found probable prime factor of 37 digits: 1477440140880156498519586807081104427
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)

64×10250+179

c205

composite cofactor 合成数の残り
3099688481994560419907319333286172064238060073059956731466894824213780033911990906500573546154685133804333941954878861225303746985402056713283748958980612498898991430611663204683380455772554577568706730861<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaNovember 18, 2013 14:00:00 UTC 2013 年 11 月 18 日 (月) 23 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2014 04:59:57 UTC 2014 年 1 月 9 日 (木) 13 時 59 分 57 秒 (日本時間)
4511e61900400Serge BatalovNovember 19, 2013 18:03:12 UTC 2013 年 11 月 20 日 (水) 3 時 3 分 12 秒 (日本時間)
1500Dmitry DomanovFebruary 28, 2014 19:25:53 UTC 2014 年 3 月 1 日 (土) 4 時 25 分 53 秒 (日本時間)
5043e6720 / 7115400Dmitry DomanovMarch 7, 2014 08:50:02 UTC 2014 年 3 月 7 日 (金) 17 時 50 分 2 秒 (日本時間)
320Dmitry DomanovMarch 12, 2014 06:08:00 UTC 2014 年 3 月 12 日 (水) 15 時 8 分 0 秒 (日本時間)