Table of contents 目次

6×10104+7

c86

name 名前Sinkiti Sibata
date 日付October 11, 2007 04:47:54 UTC 2007 年 10 月 11 日 (木) 13 時 47 分 54 秒 (日本時間)
composite number 合成数
69528408913170114020623970508248965547977728760224458789292141359530747384979933264239<86>
prime factors 素因数
312703414298744945585964596618843105759<39>
222346177668355476515021026054869613681073668721<48>
factorization results 素因数分解の結果
Thu Oct 11 08:00:35 2007  Msieve v. 1.26
Thu Oct 11 08:00:35 2007  random seeds: 35251e1c b1bd4346
Thu Oct 11 08:00:35 2007  factoring 69528408913170114020623970508248965547977728760224458789292141359530747384979933264239 (86 digits)
Thu Oct 11 08:00:36 2007  commencing quadratic sieve (86-digit input)
Thu Oct 11 08:00:36 2007  using multiplier of 31
Thu Oct 11 08:00:36 2007  using 64kb Pentium 2 sieve core
Thu Oct 11 08:00:36 2007  sieve interval: 9 blocks of size 65536
Thu Oct 11 08:00:36 2007  processing polynomials in batches of 12
Thu Oct 11 08:00:36 2007  using a sieve bound of 1470947 (55662 primes)
Thu Oct 11 08:00:36 2007  using large prime bound of 117675760 (26 bits)
Thu Oct 11 08:00:36 2007  using double large prime bound of 336694943593840 (41-49 bits)
Thu Oct 11 08:00:36 2007  using trial factoring cutoff of 49 bits
Thu Oct 11 08:00:36 2007  polynomial 'A' values have 11 factors
Thu Oct 11 13:29:42 2007  55839 relations (15809 full + 40030 combined from 583377 partial), need 55758
Thu Oct 11 13:29:51 2007  begin with 599186 relations
Thu Oct 11 13:29:54 2007  reduce to 132538 relations in 10 passes
Thu Oct 11 13:29:54 2007  attempting to read 132538 relations
Thu Oct 11 13:30:03 2007  recovered 132538 relations
Thu Oct 11 13:30:03 2007  recovered 110467 polynomials
Thu Oct 11 13:30:16 2007  attempting to build 55839 cycles
Thu Oct 11 13:30:16 2007  found 55838 cycles in 5 passes
Thu Oct 11 13:30:18 2007  distribution of cycle lengths:
Thu Oct 11 13:30:18 2007     length 1 : 15809
Thu Oct 11 13:30:18 2007     length 2 : 11217
Thu Oct 11 13:30:18 2007     length 3 : 9985
Thu Oct 11 13:30:18 2007     length 4 : 7192
Thu Oct 11 13:30:18 2007     length 5 : 4922
Thu Oct 11 13:30:18 2007     length 6 : 3106
Thu Oct 11 13:30:18 2007     length 7 : 1762
Thu Oct 11 13:30:18 2007     length 9+: 1845
Thu Oct 11 13:30:18 2007  largest cycle: 18 relations
Thu Oct 11 13:30:19 2007  matrix is 55662 x 55838 with weight 3139688 (avg 56.23/col)
Thu Oct 11 13:30:22 2007  filtering completed in 3 passes
Thu Oct 11 13:30:22 2007  matrix is 50880 x 50944 with weight 2899893 (avg 56.92/col)
Thu Oct 11 13:30:24 2007  saving the first 48 matrix rows for later
Thu Oct 11 13:30:24 2007  matrix is 50832 x 50944 with weight 2295297 (avg 45.06/col)
Thu Oct 11 13:30:24 2007  matrix includes 64 packed rows
Thu Oct 11 13:30:24 2007  using block size 10922 for processor cache size 256 kB
Thu Oct 11 13:30:25 2007  commencing Lanczos iteration
Thu Oct 11 13:33:05 2007  lanczos halted after 805 iterations
Thu Oct 11 13:33:06 2007  recovered 17 nontrivial dependencies
Thu Oct 11 13:33:21 2007  prp39 factor: 312703414298744945585964596618843105759
Thu Oct 11 13:33:21 2007  prp48 factor: 222346177668355476515021026054869613681073668721
Thu Oct 11 13:33:21 2007  elapsed time 05:32:46
execution environment 実行環境

Pentiu3 750MHz,  Windows Me)

6×10106+7

c107

name 名前Robert Backstrom
date 日付October 11, 2007 03:35:19 UTC 2007 年 10 月 11 日 (木) 12 時 35 分 19 秒 (日本時間)
composite number 合成数
60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<107>
prime factors 素因数
660354883413107731466749453206421<33>
90860235166103760559298389079671871752970399872818769276787670766575373867<74>
factorization results 素因数分解の結果
Number: n
N=60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
  ( 107 digits)
SNFS difficulty: 106 digits.
Divisors found:
 r1=660354883413107731466749453206421 (pp33)
 r2=90860235166103760559298389079671871752970399872818769276787670766575373867 (pp74)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.81 hours.
Scaled time: 0.97 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_6_0_105_7
n: 60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
type: snfs
skew: 0.65
deg: 5
c5: 60
c0: 7
m: 1000000000000000000000
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 200001)
Primes: RFBsize:41538, AFBsize:41547, largePrimes:2680462 encountered
Relations: rels:2220524, finalFF:111084
Max relations in full relation-set: 28
Initial matrix: 83152 x 111084 with sparse part having weight 5499964.
Pruned matrix : 67479 x 67958 with weight 2313666.
Total sieving time: 0.68 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Total square root time: 0.04 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,106,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.4,2.4,50000
total time: 0.81 hours.
 --------- CPU info (if available) ----------

6×10112+7

c112

name 名前Robert Backstrom
date 日付October 11, 2007 05:38:37 UTC 2007 年 10 月 11 日 (木) 14 時 38 分 37 秒 (日本時間)
composite number 合成数
1395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395349<112>
prime factors 素因数
42037675529382231904791550999<29>
14936485810428385363892834492251<32>
2222264100043128899370105966054617650050692155163401<52>
factorization results 素因数分解の結果
N = 6*10^112+7 : c112


prp29 factor: 42037675529382231904791550999
prp32 factor: 14936485810428385363892834492251
prp52 factor: 2222264100043128899370105966054617650050692155163401


GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM]
Input number is 1395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395349 (112 digits)
Using B1=87500, B2=26096911, polynomial x^2, sigma=730686625
Step 1 took 1203ms
Step 2 took 953ms
********** Factor found in step 2: 42037675529382231904791550999
Found probable prime factor of 29 digits: 42037675529382231904791550999
Composite cofactor 33192816197318600608605463828793223988644935250050070386447688396465987039773305651 has 83 digits


Thu Oct 11 14:51:32 2007  
Thu Oct 11 14:51:32 2007  
Thu Oct 11 14:51:32 2007  Msieve v. 1.28
Thu Oct 11 14:51:32 2007  random seeds: 409cfc00 e37a735e
Thu Oct 11 14:51:32 2007  factoring 33192816197318600608605463828793223988644935250050070386447688396465987039773305651 (83 digits)
Thu Oct 11 14:51:32 2007  commencing quadratic sieve (83-digit input)
Thu Oct 11 14:51:33 2007  using multiplier of 1
Thu Oct 11 14:51:33 2007  using 64kb Athlon XP sieve core
Thu Oct 11 14:51:33 2007  sieve interval: 6 blocks of size 65536
Thu Oct 11 14:51:33 2007  processing polynomials in batches of 17
Thu Oct 11 14:51:33 2007  using a sieve bound of 1369321 (52647 primes)
Thu Oct 11 14:51:33 2007  using large prime bound of 121869569 (26 bits)
Thu Oct 11 14:51:33 2007  using trial factoring cutoff of 27 bits
Thu Oct 11 14:51:33 2007  polynomial 'A' values have 10 factors
Thu Oct 11 15:25:57 2007  52751 relations (26020 full + 26731 combined from 283185 partial), need 52743
Thu Oct 11 15:25:58 2007  begin with 309205 relations
Thu Oct 11 15:25:58 2007  reduce to 76065 relations in 2 passes
Thu Oct 11 15:25:58 2007  attempting to read 76065 relations
Thu Oct 11 15:25:59 2007  recovered 76065 relations
Thu Oct 11 15:25:59 2007  recovered 69714 polynomials
Thu Oct 11 15:25:59 2007  attempting to build 52751 cycles
Thu Oct 11 15:25:59 2007  found 52751 cycles in 1 passes
Thu Oct 11 15:25:59 2007  distribution of cycle lengths:
Thu Oct 11 15:25:59 2007     length 1 : 26020
Thu Oct 11 15:25:59 2007     length 2 : 26731
Thu Oct 11 15:25:59 2007  largest cycle: 2 relations
Thu Oct 11 15:25:59 2007  matrix is 52647 x 52751 with weight 1646722 (avg 31.22/col)
Thu Oct 11 15:26:00 2007  filtering completed in 4 passes
Thu Oct 11 15:26:00 2007  matrix is 46089 x 46153 with weight 1415834 (avg 30.68/col)
Thu Oct 11 15:26:00 2007  saving the first 48 matrix rows for later
Thu Oct 11 15:26:01 2007  matrix is 46041 x 46153 with weight 1132687 (avg 24.54/col)
Thu Oct 11 15:26:01 2007  matrix includes 64 packed rows
Thu Oct 11 15:26:01 2007  commencing Lanczos iteration
Thu Oct 11 15:27:17 2007  lanczos halted after 730 iterations
Thu Oct 11 15:27:18 2007  recovered 10 nontrivial dependencies
Thu Oct 11 15:27:18 2007  prp32 factor: 14936485810428385363892834492251
Thu Oct 11 15:27:18 2007  prp52 factor: 2222264100043128899370105966054617650050692155163401
Thu Oct 11 15:27:18 2007  elapsed time 00:35:46

6×10114+7

c95

name 名前Sinkiti Sibata
date 日付October 12, 2007 00:21:16 UTC 2007 年 10 月 12 日 (金) 9 時 21 分 16 秒 (日本時間)
composite number 合成数
92038941604838034885826953995277077283508823907453477048445035739217774475488560068977546478973<95>
prime factors 素因数
13963735493801662655038504422019<32>
6591283660858015718799436869882276779748116589270476529805242367<64>
factorization results 素因数分解の結果
Number: 60007_114
N=92038941604838034885826953995277077283508823907453477048445035739217774475488560068977546478973
  ( 95 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=13963735493801662655038504422019 (pp32)
 r2=6591283660858015718799436869882276779748116589270476529805242367 (pp64)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.60 hours.
Scaled time: 1.08 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_114
n: 92038941604838034885826953995277077283508823907453477048445035739217774475488560068977546478973
m: 100000000000000000000000
c5: 3
c0: 35
skew: 1.63
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 500001)
Primes: RFBsize:49098, AFBsize:63993, largePrimes:2069865 encountered
Relations: rels:2160911, finalFF:246690
Max relations in full relation-set: 28
Initial matrix: 113156 x 246690 with sparse part having weight 18938825.
Pruned matrix : 79136 x 79765 with weight 3921681.
Total sieving time: 1.41 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.60 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10116+7

c114

name 名前Sinkiti Sibata
date 日付October 12, 2007 02:55:48 UTC 2007 年 10 月 12 日 (金) 11 時 55 分 48 秒 (日本時間)
composite number 合成数
418702023726448011165387299371946964410327983251919050942079553384508025122121423586880669923237962316817864619679<114>
prime factors 素因数
4260569836341526184189932091009434032922764443<46>
98273714505283129560284285927238795172266087521311216860992588389453<68>
factorization results 素因数分解の結果
Number: 60007_116
N=418702023726448011165387299371946964410327983251919050942079553384508025122121423586880669923237962316817864619679
  ( 114 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=4260569836341526184189932091009434032922764443 (pp46)
 r2=98273714505283129560284285927238795172266087521311216860992588389453 (pp68)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.17 hours.
Scaled time: 1.47 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_116
n: 418702023726448011165387299371946964410327983251919050942079553384508025122121423586880669923237962316817864619679
m: 100000000000000000000000
c5: 60
c0: 7
skew: 0.65
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63883, largePrimes:2216313 encountered
Relations: rels:2423409, finalFF:333688
Max relations in full relation-set: 28
Initial matrix: 113048 x 333688 with sparse part having weight 30159400.
Pruned matrix : 73820 x 74449 with weight 5302920.
Total sieving time: 1.96 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,116,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.17 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10117+7

c104

name 名前Sinkiti Sibata
date 日付October 12, 2007 05:29:06 UTC 2007 年 10 月 12 日 (金) 14 時 29 分 6 秒 (日本時間)
composite number 合成数
74358469258832718774436183724553279940996020408249446899718017650687200724318637458592452381540883238773<104>
prime factors 素因数
761007481197519851161967935908199514911<39>
97710562768479463816800500502385687103003804418987111582005841643<65>
factorization results 素因数分解の結果
Number: 60007_117
N=74358469258832718774436183724553279940996020408249446899718017650687200724318637458592452381540883238773
  ( 104 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=761007481197519851161967935908199514911 (pp39)
 r2=97710562768479463816800500502385687103003804418987111582005841643 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 2.20 hours.
Scaled time: 1.49 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_117
n: 74358469258832718774436183724553279940996020408249446899718017650687200724318637458592452381540883238773
m: 100000000000000000000000
c5: 600
c0: 7
skew: 0.41
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved algebraic special-q in [400000, 550001)
Primes: RFBsize:49098, AFBsize:63523, largePrimes:1980594 encountered
Relations: rels:1938172, finalFF:128803
Max relations in full relation-set: 28
Initial matrix: 112687 x 128803 with sparse part having weight 10218920.
Pruned matrix : 106545 x 107172 with weight 7132342.
Total sieving time: 1.89 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,117,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.20 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10127+7

c108

name 名前Sinkiti Sibata
date 日付October 12, 2007 11:08:35 UTC 2007 年 10 月 12 日 (金) 20 時 8 分 35 秒 (日本時間)
composite number 合成数
117722765415512284233525269842016058687696108332067481812522215595485313176760239621795561889746921472341999<108>
prime factors 素因数
3583617409332378966987419272264607655669797<43>
32850260496263134596383389203484134247046587543608521946389524867<65>
factorization results 素因数分解の結果
Number: 60007_127
N=117722765415512284233525269842016058687696108332067481812522215595485313176760239621795561889746921472341999
  ( 108 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=3583617409332378966987419272264607655669797 (pp43)
 r2=32850260496263134596383389203484134247046587543608521946389524867 (pp65)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 5.28 hours.
Scaled time: 3.57 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_127
n: 117722765415512284233525269842016058687696108332067481812522215595485313176760239621795561889746921472341999
m: 10000000000000000000000000
c5: 600
c0: 7
skew: 0.41
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 950001)
Primes: RFBsize:63951, AFBsize:63523, largePrimes:1506649 encountered
Relations: rels:1516333, finalFF:181202
Max relations in full relation-set: 28
Initial matrix: 127540 x 181202 with sparse part having weight 12751877.
Pruned matrix : 111515 x 112216 with weight 6223089.
Total sieving time: 4.97 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.19 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,127,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 5.28 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10132+7

c111

name 名前Sinkiti Sibata
date 日付October 12, 2007 20:20:17 UTC 2007 年 10 月 13 日 (土) 5 時 20 分 17 秒 (日本時間)
composite number 合成数
810797982489869232300976179328579352721883380713949594003733868807533449400899968769781243999195835893799536717<111>
prime factors 素因数
1983329501828473727548585254782922572449329984672734213<55>
408806495210391060163003461145989705978462625906890077609<57>
factorization results 素因数分解の結果
Number: 60007_132
N=810797982489869232300976179328579352721883380713949594003733868807533449400899968769781243999195835893799536717
  ( 111 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1983329501828473727548585254782922572449329984672734213 (pp55)
 r2=408806495210391060163003461145989705978462625906890077609 (pp57)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 7.78 hours.
Scaled time: 5.26 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_132
n: 810797982489869232300976179328579352721883380713949594003733868807533449400899968769781243999195835893799536717
m: 100000000000000000000000000
c5: 600
c0: 7
skew: 0.41
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved algebraic special-q in [400000, 1250001)
Primes: RFBsize:63951, AFBsize:63523, largePrimes:1533110 encountered
Relations: rels:1528629, finalFF:158241
Max relations in full relation-set: 28
Initial matrix: 127540 x 158241 with sparse part having weight 14199593.
Pruned matrix : 119830 x 120531 with weight 9182188.
Total sieving time: 7.35 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.29 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 7.78 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10134+7

c112

name 名前Sinkiti Sibata
date 日付October 13, 2007 04:43:46 UTC 2007 年 10 月 13 日 (土) 13 時 43 分 46 秒 (日本時間)
composite number 合成数
1517311825029996661504435096321997519435645891033130360977335775340869413282472959239396871158506225871024394991<112>
prime factors 素因数
16080745011300179212403283434151191<35>
94355816472667095064977591820097467102390568492729306979142286831385089101801<77>
factorization results 素因数分解の結果
Number: 60007_134
N=1517311825029996661504435096321997519435645891033130360977335775340869413282472959239396871158506225871024394991
  ( 112 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=16080745011300179212403283434151191 (pp35)
 r2=94355816472667095064977591820097467102390568492729306979142286831385089101801 (pp77)
Version: GGNFS-0.77.1-20060513-k8
Total time: 5.83 hours.
Scaled time: 11.61 units (timescale=1.992).
Factorization parameters were as follows:
name: 60007_134
n: 1517311825029996661504435096321997519435645891033130360977335775340869413282472959239396871158506225871024394991
m: 1000000000000000000000000000
c5: 3
c0: 35
skew: 1.63
type: snfs
Factor base limits: 1000000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved algebraic special-q in [400000, 1075001)
Primes: RFBsize:78498, AFBsize:63993, largePrimes:1532434 encountered
Relations: rels:1543630, finalFF:184907
Max relations in full relation-set: 28
Initial matrix: 142556 x 184907 with sparse part having weight 13770867.
Pruned matrix : 128299 x 129075 with weight 7860258.
Total sieving time: 5.62 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000
total time: 5.83 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.83GHz, Windows Vista)

6×10138+7

c138

name 名前Robert Backstrom
date 日付October 12, 2007 07:50:57 UTC 2007 年 10 月 12 日 (金) 16 時 50 分 57 秒 (日本時間)
composite number 合成数
461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461539<138>
prime factors 素因数
8786475728072227386487041599685529123701731718444931<52>
52528280487235138475680678891847720293425922478509734700005290994634833797311729822369<86>
factorization results 素因数分解の結果
Number: n
N=461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461539
  ( 138 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=8786475728072227386487041599685529123701731718444931 (pp52)
 r2=52528280487235138475680678891847720293425922478509734700005290994634833797311729822369 (pp86)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.79 hours.
Scaled time: 8.84 units (timescale=1.302).
Factorization parameters were as follows:
name: KA_6_0_137_3
n: 461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461538461539
skew: 0.26
deg: 5
c5: 6000
c0: 7
m: 1000000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 750001)
Primes: RFBsize:114155, AFBsize:114432, largePrimes:6211466 encountered
Relations: rels:5545647, finalFF:312486
Max relations in full relation-set: 48
Initial matrix: 228654 x 312486 with sparse part having weight 29654727.
Pruned matrix : 190499 x 191706 with weight 12900013.
Total sieving time: 5.71 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 0.83 hours.
Total square root time: 0.08 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,75000
total time: 6.79 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10140+7

c113

name 名前Jo Yeong Uk
date 日付October 13, 2007 00:45:47 UTC 2007 年 10 月 13 日 (土) 9 時 45 分 47 秒 (日本時間)
composite number 合成数
46990629750094353640929945031801720386834025557110371526615491443551271997160943220584424618795094865880900769021<113>
prime factors 素因数
6123908191785128062611453979386707666992816396823857<52>
7673307351852464227438937019759901799643665911557369118867853<61>
factorization results 素因数分解の結果
Number: 60007_140
N=46990629750094353640929945031801720386834025557110371526615491443551271997160943220584424618795094865880900769021
  ( 113 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=6123908191785128062611453979386707666992816396823857 (pp52)
 r2=7673307351852464227438937019759901799643665911557369118867853 (pp61)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 6.19 hours.
Scaled time: 13.10 units (timescale=2.117).
Factorization parameters were as follows:
n: 46990629750094353640929945031801720386834025557110371526615491443551271997160943220584424618795094865880900769021
m: 10000000000000000000000000000
c5: 6
c0: 7
skew: 1.03
type: snfs
Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [750000, 1150001)
Primes: RFBsize:114155, AFBsize:114412, largePrimes:3206977 encountered
Relations: rels:3155190, finalFF:262058
Max relations in full relation-set: 28
Initial matrix: 228633 x 262058 with sparse part having weight 22384343.
Pruned matrix : 214081 x 215288 with weight 15710541.
Total sieving time: 5.95 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.17 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,47,47,2.3,2.3,50000
total time: 6.19 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10144+7

c139

name 名前Robert Backstrom
date 日付October 12, 2007 21:35:57 UTC 2007 年 10 月 13 日 (土) 6 時 35 分 57 秒 (日本時間)
composite number 合成数
1217018543914390047546886146495361840910930266662961521321860634744135035509558565062115612299270539368420113178667855558559788368588670247<139>
prime factors 素因数
17996214744046724344420417956846958165765495333<47>
67626362611447967176376164281940047499923797596474846813424537050089499416597128887441863259<92>
factorization results 素因数分解の結果
Number: n
N=1217018543914390047546886146495361840910930266662961521321860634744135035509558565062115612299270539368420113178667855558559788368588670247
  ( 139 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=17996214744046724344420417956846958165765495333 (pp47)
 r2=67626362611447967176376164281940047499923797596474846813424537050089499416597128887441863259 (pp92)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 7.95 hours.
Scaled time: 11.51 units (timescale=1.449).
Factorization parameters were as follows:
name: KA_6_0_143_7
n: 1217018543914390047546886146495361840910930266662961521321860634744135035509558565062115612299270539368420113178667855558559788368588670247
skew: 1.63
deg: 5
c5: 3
c0: 35
m: 100000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:148933, AFBsize:148840, largePrimes:6333809 encountered
Relations: rels:5693227, finalFF:347656
Max relations in full relation-set: 28
Initial matrix: 297838 x 347656 with sparse part having weight 22955213.
Pruned matrix : 259683 x 261236 with weight 14197561.
Total sieving time: 6.15 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 1.51 hours.
Total square root time: 0.13 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,100000
total time: 7.95 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

6×10145+7

c144

name 名前Robert Backstrom
date 日付October 12, 2007 07:35:37 UTC 2007 年 10 月 12 日 (金) 16 時 35 分 37 秒 (日本時間)
composite number 合成数
368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208589<144>
prime factors 素因数
3919572055477532086753025839329335485817252963822084748594102007<64>
93912844131744392068992466757974562467028071947951869170587151041083038337579227<80>
factorization results 素因数分解の結果
Number: n
N=368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208589
  ( 144 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=3919572055477532086753025839329335485817252963822084748594102007 (pp64)
 r2=93912844131744392068992466757974562467028071947951869170587151041083038337579227 (pp80)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 11.95 hours.
Scaled time: 14.29 units (timescale=1.196).
Factorization parameters were as follows:
name: KA_6_0_144_7
n: 368098159509202453987730061349693251533742331288343558282208588957055214723926380368098159509202453987730061349693251533742331288343558282208589
type: snfs
skew: 1.03
deg: 5
c5: 6
c0: 7
m: 100000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1400001)
Primes: RFBsize:148933, AFBsize:149160, largePrimes:6126432 encountered
Relations: rels:5452417, finalFF:336584
Max relations in full relation-set: 28
Initial matrix: 298159 x 336584 with sparse part having weight 21730162.
Pruned matrix : 270315 x 271869 with weight 14890622.
Total sieving time: 9.92 hours.
Total relation processing time: 0.21 hours.
Matrix solve time: 1.75 hours.
Total square root time: 0.07 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 11.95 hours.
 --------- CPU info (if available) ----------

6×10146+7

c144

name 名前Robert Backstrom
date 日付October 13, 2007 20:38:13 UTC 2007 年 10 月 14 日 (日) 5 時 38 分 13 秒 (日本時間)
composite number 合成数
137709433096167087445490016066100527886160201973835207711728253385356896947440899701629561624971310534771631856782189579986229056690383291255451<144>
prime factors 素因数
11418173072097254220419104341228272288444055633023768296587371<62>
12060548760877474653322042621937488929340653264886088872424357570501388208759630481<83>
factorization results 素因数分解の結果
Number: n
N=137709433096167087445490016066100527886160201973835207711728253385356896947440899701629561624971310534771631856782189579986229056690383291255451
  ( 144 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=11418173072097254220419104341228272288444055633023768296587371 (pp62)
 r2=12060548760877474653322042621937488929340653264886088872424357570501388208759630481 (pp83)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 14.29 hours.
Scaled time: 17.06 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_6_0_145_7
n: 137709433096167087445490016066100527886160201973835207711728253385356896947440899701629561624971310534771631856782189579986229056690383291255451
type: snfs
skew: 0.65
deg: 5
c5: 60
c0: 7
m: 100000000000000000000000000000
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 50000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1500001)
Primes: RFBsize:148933, AFBsize:148615, largePrimes:6235655 encountered
Relations: rels:5562121, finalFF:337505
Max relations in full relation-set: 28
Initial matrix: 297615 x 337505 with sparse part having weight 22977078.
Pruned matrix : 271076 x 272628 with weight 15819578.
Total sieving time: 11.99 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 1.85 hours.
Total square root time: 0.22 hours, sqrts: 3.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.3,2.3,100000
total time: 14.29 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

6×10147+7

c121

name 名前Jo Yeong Uk
date 日付October 18, 2007 04:43:40 UTC 2007 年 10 月 18 日 (木) 13 時 43 分 40 秒 (日本時間)
composite number 合成数
2599330041273026231158261182959552205625966726296449796273234752243784692588394514029060595219631994321473925185220811321<121>
prime factors 素因数
3757810852757300286714196049398151<34>
691713910870677076891814665811219671401933953308716939722566516154829814248796350852671<87>
factorization results 素因数分解の結果
Number: 60007_147
N=2599330041273026231158261182959552205625966726296449796273234752243784692588394514029060595219631994321473925185220811321
  ( 121 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=3757810852757300286714196049398151 (pp34)
 r2=691713910870677076891814665811219671401933953308716939722566516154829814248796350852671 (pp87)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 13.31 hours.
Scaled time: 28.42 units (timescale=2.135).
Factorization parameters were as follows:
n: 2599330041273026231158261182959552205625966726296449796273234752243784692588394514029060595219631994321473925185220811321
m: 200000000000000000000000000000
c5: 75
c0: 28
skew: 0.82
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1800001)
Primes: RFBsize:135072, AFBsize:134748, largePrimes:3940451 encountered
Relations: rels:4092560, finalFF:408421
Max relations in full relation-set: 28
Initial matrix: 269886 x 408421 with sparse part having weight 41102101.
Pruned matrix : 230332 x 231745 with weight 21474737.
Total sieving time: 12.95 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.27 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 13.31 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10148+7

c130

name 名前Robert Backstrom
date 日付October 13, 2007 21:35:36 UTC 2007 年 10 月 14 日 (日) 6 時 35 分 36 秒 (日本時間)
composite number 合成数
1292481812938762669912955974480348284084579994249280402316109378518340638209958112361129835839479159506743055281672649662826363949<130>
prime factors 素因数
9540749344069170990484839035782631826167<40>
135469633078895411887709169907086398273346654936908113597527218378494142638547322866052347<90>
factorization results 素因数分解の結果
Number: n
N=1292481812938762669912955974480348284084579994249280402316109378518340638209958112361129835839479159506743055281672649662826363949
  ( 130 digits)
SNFS difficulty: 149 digits.
Divisors found:

Sun Oct 14 07:28:32 2007  prp40 factor: 9540749344069170990484839035782631826167
Sun Oct 14 07:28:32 2007  prp90 factor: 135469633078895411887709169907086398273346654936908113597527218378494142638547322866052347
Sun Oct 14 07:28:32 2007  elapsed time 00:56:42 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 15.17 hours.
Scaled time: 17.95 units (timescale=1.183).
Factorization parameters were as follows:
name: KA_6_0_147_7
n: 1292481812938762669912955974480348284084579994249280402316109378518340638209958112361129835839479159506743055281672649662826363949
skew: 0.52
deg: 5
c5: 375
c0: 14
m: 200000000000000000000000000000
type: snfs
rlim: 1800000
alim: 1800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 50000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 1850000)
Primes: RFBsize:135072, AFBsize:135288, largePrimes:6951878 encountered
Relations: rels:6272499, finalFF:315014
Max relations in full relation-set: 28
Initial matrix: 270426 x 315014 with sparse part having weight 39437700.
Pruned matrix : 259998 x 261414 with weight 27086460.
Total sieving time: 14.94 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,149,5,0,0,0,0,0,0,0,0,1800000,1800000,28,28,48,48,2.5,2.5,100000
total time: 15.17 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10149+7

c116

name 名前Jo Yeong Uk
date 日付October 18, 2007 12:34:45 UTC 2007 年 10 月 18 日 (木) 21 時 34 分 45 秒 (日本時間)
composite number 合成数
68213522910409429827571176132944362685370905642562309751882399036574081305064117581575728647981845432390542542525589<116>
prime factors 素因数
288204824127944521231161772400113432086544229<45>
236684181525452140035337569045008331845614114346156387833169766487401841<72>
factorization results 素因数分解の結果
Number: 60007_149
N=68213522910409429827571176132944362685370905642562309751882399036574081305064117581575728647981845432390542542525589
  ( 116 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=288204824127944521231161772400113432086544229 (pp45)
 r2=236684181525452140035337569045008331845614114346156387833169766487401841 (pp72)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 11.33 hours.
Scaled time: 24.17 units (timescale=2.133).
Factorization parameters were as follows:
n: 68213522910409429827571176132944362685370905642562309751882399036574081305064117581575728647981845432390542542525589
m: 1000000000000000000000000000000
c5: 3
c0: 35
skew: 1.63
type: snfs
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1650001)
Primes: RFBsize:135072, AFBsize:135283, largePrimes:3745970 encountered
Relations: rels:3742941, finalFF:304925
Max relations in full relation-set: 28
Initial matrix: 270420 x 304925 with sparse part having weight 27971216.
Pruned matrix : 258210 x 259626 with weight 21031729.
Total sieving time: 10.95 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 11.33 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10150+7

c107

name 名前Sinkiti Sibata
date 日付October 13, 2007 23:42:19 UTC 2007 年 10 月 14 日 (日) 8 時 42 分 19 秒 (日本時間)
composite number 合成数
16778447979584046870105927524867093522623211025234406911205125926978020882062201070003687860376291055697001<107>
prime factors 素因数
75896163172818350563639937211446513525782697<44>
221071096062905112755419151133504653865878416206951105384644033<63>
factorization results 素因数分解の結果
Number: 60007_150
N=16778447979584046870105927524867093522623211025234406911205125926978020882062201070003687860376291055697001
  ( 107 digits)
Divisors found:
 r1=75896163172818350563639937211446513525782697 (pp44)
 r2=221071096062905112755419151133504653865878416206951105384644033 (pp63)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 19.13 hours.
Scaled time: 12.93 units (timescale=0.676).
Factorization parameters were as follows:
name: 60007_150
n: 16778447979584046870105927524867093522623211025234406911205125926978020882062201070003687860376291055697001
skew: 36403.92
# norm 2.09e+14
c5: 2100
c4: -112214840
c3: -13116197646990
c2: 123037965666033289
c1: 5760329507112287712094
c0: 1238462310613528311780792
# alpha -5.17
Y1: 120696764773
Y0: -380634342801918434537
# Murphy_E 1.56e-09
# M 13741135059811030920870521422422840200370178162132655706061264578222105542413703524686047496399343377873432
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2300001)
Primes: RFBsize:183072, AFBsize:183420, largePrimes:4395571 encountered
Relations: rels:4422833, finalFF:421465
Max relations in full relation-set: 28
Initial matrix: 366571 x 421465 with sparse part having weight 30675596.
Pruned matrix : 323362 x 325258 with weight 19810409.
Total sieving time: 15.47 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 3.20 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 19.13 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

6×10152+7

c153

name 名前Jo Yeong Uk
date 日付October 12, 2007 08:04:46 UTC 2007 年 10 月 12 日 (金) 17 時 4 分 46 秒 (日本時間)
composite number 合成数
600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<153>
prime factors 素因数
1840685266806508095129806305318544351784701<43>
325965557947322722135583311765356705447166321685192963549916970963466614546316438202055770474848508291355137107<111>
factorization results 素因数分解の結果
Number: 60007_152
N=600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
  ( 153 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=1840685266806508095129806305318544351784701 (pp43)
 r2=325965557947322722135583311765356705447166321685192963549916970963466614546316438202055770474848508291355137107 (pp111)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 20.05 hours.
Scaled time: 42.60 units (timescale=2.125).
Factorization parameters were as follows:
n: 600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007
m: 2000000000000000000000000000000
c5: 75
c0: 28
skew: 0.82
type: snfs
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1200000, 2500001)
Primes: RFBsize:176302, AFBsize:175743, largePrimes:5716294 encountered
Relations: rels:5680786, finalFF:487419
Max relations in full relation-set: 28
Initial matrix: 352111 x 487419 with sparse part having weight 48790712.
Pruned matrix : 305178 x 307002 with weight 29072127.
Total sieving time: 19.36 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.56 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 20.05 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10155+7

c86

name 名前Sinkiti Sibata
date 日付October 11, 2007 04:38:55 UTC 2007 年 10 月 11 日 (木) 13 時 38 分 55 秒 (日本時間)
composite number 合成数
69079168045520282358058872569745380341436008514853935086936756082097682617184706711051<86>
prime factors 素因数
11519704348754539604022205034624081555611<41>
5996609457515185443760101854342559834794121041<46>
factorization results 素因数分解の結果
Thu Oct 11 07:46:13 2007  Msieve v. 1.28
Thu Oct 11 07:46:13 2007  random seeds: a4efa528 11c3b45d
Thu Oct 11 07:46:13 2007  factoring 69079168045520282358058872569745380341436008514853935086936756082097682617184706711051 (86 digits)
Thu Oct 11 07:46:14 2007  commencing quadratic sieve (86-digit input)
Thu Oct 11 07:46:14 2007  using multiplier of 11
Thu Oct 11 07:46:14 2007  using 64kb Pentium 2 sieve core
Thu Oct 11 07:46:14 2007  sieve interval: 9 blocks of size 65536
Thu Oct 11 07:46:14 2007  processing polynomials in batches of 12
Thu Oct 11 07:46:14 2007  using a sieve bound of 1470947 (55891 primes)
Thu Oct 11 07:46:14 2007  using large prime bound of 117675760 (26 bits)
Thu Oct 11 07:46:14 2007  using double large prime bound of 336694943593840 (41-49 bits)
Thu Oct 11 07:46:14 2007  using trial factoring cutoff of 49 bits
Thu Oct 11 07:46:14 2007  polynomial 'A' values have 11 factors
Thu Oct 11 13:23:21 2007  56030 relations (15871 full + 40159 combined from 586780 partial), need 55987
Thu Oct 11 13:23:28 2007  begin with 602651 relations
Thu Oct 11 13:23:29 2007  reduce to 133601 relations in 10 passes
Thu Oct 11 13:23:29 2007  attempting to read 133601 relations
Thu Oct 11 13:23:38 2007  recovered 133601 relations
Thu Oct 11 13:23:38 2007  recovered 112180 polynomials
Thu Oct 11 13:23:39 2007  attempting to build 56030 cycles
Thu Oct 11 13:23:39 2007  found 56030 cycles in 6 passes
Thu Oct 11 13:23:42 2007  distribution of cycle lengths:
Thu Oct 11 13:23:42 2007     length 1 : 15871
Thu Oct 11 13:23:42 2007     length 2 : 11072
Thu Oct 11 13:23:42 2007     length 3 : 9884
Thu Oct 11 13:23:42 2007     length 4 : 7361
Thu Oct 11 13:23:42 2007     length 5 : 4850
Thu Oct 11 13:23:42 2007     length 6 : 3171
Thu Oct 11 13:23:42 2007     length 7 : 1783
Thu Oct 11 13:23:42 2007     length 9+: 2038
Thu Oct 11 13:23:42 2007  largest cycle: 20 relations
Thu Oct 11 13:23:42 2007  matrix is 55891 x 56030 with weight 3116041 (avg 55.61/col)
Thu Oct 11 13:23:47 2007  filtering completed in 3 passes
Thu Oct 11 13:23:47 2007  matrix is 51400 x 51464 with weight 2897239 (avg 56.30/col)
Thu Oct 11 13:23:49 2007  saving the first 48 matrix rows for later
Thu Oct 11 13:23:49 2007  matrix is 51352 x 51464 with weight 2270531 (avg 44.12/col)
Thu Oct 11 13:23:49 2007  matrix includes 64 packed rows
Thu Oct 11 13:23:49 2007  using block size 5461 for processor cache size 128 kB
Thu Oct 11 13:23:51 2007  commencing Lanczos iteration
Thu Oct 11 13:26:11 2007  lanczos halted after 814 iterations
Thu Oct 11 13:26:12 2007  recovered 16 nontrivial dependencies
Thu Oct 11 13:26:13 2007  prp41 factor: 11519704348754539604022205034624081555611
Thu Oct 11 13:26:13 2007  prp46 factor: 5996609457515185443760101854342559834794121041
Thu Oct 11 13:26:13 2007  elapsed time 05:40:00
execution environment 実行環境
Cerelon 750MHz,  Windows 2000)

6×10157+7

c133

name 名前Jo Yeong Uk
date 日付October 20, 2007 02:04:11 UTC 2007 年 10 月 20 日 (土) 11 時 4 分 11 秒 (日本時間)
composite number 合成数
2028703046989440216492418523064717588124374356914471327996618052411940079032641598918868315472019544767523143015305980889826382787393<133>
prime factors 素因数
909973554507637615273149646490856241896005712528152743<54>
2229408796486527839879415799102804165173602971152320543487096830961582839982551<79>
factorization results 素因数分解の結果
Number: 60007_157
N=2028703046989440216492418523064717588124374356914471327996618052411940079032641598918868315472019544767523143015305980889826382787393
  ( 133 digits)
SNFS difficulty: 158 digits.
Divisors found:
 r1=909973554507637615273149646490856241896005712528152743 (pp54)
 r2=2229408796486527839879415799102804165173602971152320543487096830961582839982551 (pp79)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 31.18 hours.
Scaled time: 66.81 units (timescale=2.143).
Factorization parameters were as follows:
n: 2028703046989440216492418523064717588124374356914471327996618052411940079032641598918868315472019544767523143015305980889826382787393
m: 20000000000000000000000000000000
c5: 75
c0: 28
skew: 0.82
type: snfs
Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2000000, 3800001)
Primes: RFBsize:283146, AFBsize:283092, largePrimes:5685473 encountered
Relations: rels:5694522, finalFF:634310
Max relations in full relation-set: 28
Initial matrix: 566304 x 634310 with sparse part having weight 42093593.
Pruned matrix : 518113 x 521008 with weight 30976126.
Total sieving time: 29.55 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.48 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000
total time: 31.18 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Intel(R) Core(TM)2 Quad CPU           @ 2.40GHz stepping 07
Memory: 8167512k/8912896k available (2114k kernel code, 0k reserved, 1306k data, 208k init)
Calibrating delay using timer specific routine.. 4815.35 BogoMIPS (lpj=2407679)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405127)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405115)
Calibrating delay using timer specific routine.. 4810.25 BogoMIPS (lpj=2405125)
Total of 4 processors activated (19246.09 BogoMIPS).
execution environment 実行環境
Core 2 Quad Q6600

6×10160+7

c139

name 名前Jo Yeong Uk
date 日付October 13, 2007 03:38:01 UTC 2007 年 10 月 13 日 (土) 12 時 38 分 1 秒 (日本時間)
composite number 合成数
1539542038022503464072504596316514517917077820279079016170079123257797861336627050558896413901083655949331719737333095230121040818553238607<139>
prime factors 素因数
2891475901086594031773677024975431<34>
532441594081401683367165802963920698884830621397625778059323292338660459693626121501287829706854904467897<105>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 1539542038022503464072504596316514517917077820279079016170079123257797861336627050558896413901083655949331719737333095230121040818553238607 (139 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3219074435
Step 1 took 19329ms
Step 2 took 13593ms
********** Factor found in step 2: 2891475901086594031773677024975431
Found probable prime factor of 34 digits: 2891475901086594031773677024975431
Probable prime cofactor 532441594081401683367165802963920698884830621397625778059323292338660459693626121501287829706854904467897 has 105 digits
execution environment 実行環境
Pentium 4 2.4GHz

6×10164+7

c159

name 名前Robert Backstrom
date 日付October 15, 2007 16:03:30 UTC 2007 年 10 月 16 日 (火) 1 時 3 分 30 秒 (日本時間)
composite number 合成数
162870914756349183297370530516716120610255601470072876590807728442066408443879704628167058868877784108630556918091402614458213973835873350490879364499406742693<159>
prime factors 素因数
1770843922137685855971883220866292296403759900031873711559753<61>
91973613665363851062774584215016713526677170996970636469854370682108828520625054063548519257625981<98>
factorization results 素因数分解の結果
Number: n
N=162870914756349183297370530516716120610255601470072876590807728442066408443879704628167058868877784108630556918091402614458213973835873350490879364499406742693
  ( 159 digits)
SNFS difficulty: 165 digits.
Divisors found:

Tue Oct 16 01:56:00 2007  prp61 factor: 1770843922137685855971883220866292296403759900031873711559753
Tue Oct 16 01:56:00 2007  prp98 factor: 91973613665363851062774584215016713526677170996970636469854370682108828520625054063548519257625981
Tue Oct 16 01:56:00 2007  elapsed time 01:28:26 (Msieve 1.28)

Version: GGNFS-0.77.1-20060513-athlon-xp
Total time: 53.90 hours.
Scaled time: 70.50 units (timescale=1.308).
Factorization parameters were as follows:
name: KA_6_0_163_7
n: 162870914756349183297370530516716120610255601470072876590807728442066408443879704628167058868877784108630556918091402614458213973835873350490879364499406742693
skew: 1.63
deg: 5
c5: 3
c0: 35
m: 1000000000000000000000000000000000
type: snfs
rlim: 3000000
alim: 3000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2700001)
Primes: RFBsize:216816, AFBsize:216606, largePrimes:7411428 encountered
Relations: rels:6890615, finalFF:484135
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 53.63 hours.
Total relation processing time: 0.27 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,3000000,3000000,28,28,48,48,2.5,2.5,100000
total time: 53.90 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10167+7

c166

name 名前Robert Backstrom
date 日付November 2, 2007 04:31:10 UTC 2007 年 11 月 2 日 (金) 13 時 31 分 10 秒 (日本時間)
composite number 合成数
3821656050955414012738853503184713375796178343949044585987261146496815286624203821656050955414012738853503184713375796178343949044585987261146496815286624203821656051<166>
prime factors 素因数
30141491732912660764138607233343720887304110987<47>
126790541251891655395868197515952259522258968043055404184000880238481113593670765322134091338218303304135490412872342073<120>
factorization results 素因数分解の結果
Number: n
N=3821656050955414012738853503184713375796178343949044585987261146496815286624203821656050955414012738853503184713375796178343949044585987261146496815286624203821656051
  ( 166 digits)
SNFS difficulty: 168 digits.
Divisors found:

Fri Nov 02 11:53:15 2007  prp47 factor: 30141491732912660764138607233343720887304110987
Fri Nov 02 11:53:15 2007  prp120 factor: 126790541251891655395868197515952259522258968043055404184000880238481113593670765322134091338218303304135490412872342073
Fri Nov 02 11:53:15 2007  elapsed time 05:00:20 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 142.75 hours.
Scaled time: 170.45 units (timescale=1.194).
Factorization parameters were as follows:
name: KA_6_0_166_7
n: 3821656050955414012738853503184713375796178343949044585987261146496815286624203821656050955414012738853503184713375796178343949044585987261146496815286624203821656051
type: snfs
skew: 0.82
deg: 5
c5: 75
c0: 28
m: 2000000000000000000000000000000000
rlim: 3500000
alim: 3500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 5000213)
Primes: RFBsize:250150, AFBsize:250046, largePrimes:8066210 encountered
Relations: rels:7523828, finalFF:472612
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 142.32 hours.
Total relation processing time: 0.43 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,168,5,0,0,0,0,0,0,0,0,3500000,3500000,28,28,48,48,2.6,2.6,100000
total time: 142.75 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD XP 2700+

6×10168+7

c157

name 名前Robert Backstrom
date 日付July 1, 2008 04:01:13 UTC 2008 年 7 月 1 日 (火) 13 時 1 分 13 秒 (日本時間)
composite number 合成数
1488656697792598541146520873056129638107136789272807895701345072163713169288426472527972225894157519698478172830393493054233081152558078070761383100019882621<157>
prime factors 素因数
92496541056236438247583376263031<32>
1737404675144043985388097795414143<34>
9263350086582064127298447027451667014374897979566099083674205980098110320670551785060577237<91>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 1488656697792598541146520873056129638107136789272807895701345072163713169288426472527972225894157519698478172830393493054233081152558078070761383100019882621 (157 digits)
Using B1=226000, B2=128954290, polynomial Dickson(3), sigma=3867865071
Step 1 took 3953ms
********** Factor found in step 1: 1737404675144043985388097795414143
Found probable prime factor of 34 digits: 1737404675144043985388097795414143
Composite cofactor 856827841601829259525108395860282441577855494469378121411745019996088958847260464395017511335429545517181789421480803225347 has 123 digits



GMP-ECM 6.2.1 [powered by GMP 4.1.4] [ECM]
Input number is 856827841601829259525108395860282441577855494469378121411745019996088958847260464395017511335429545517181789421480803225347 (123 digits)
Using B1=674000, B2=522448092, polynomial Dickson(3), sigma=1207006442
Step 1 took 8016ms
Step 2 took 3703ms
********** Factor found in step 2: 92496541056236438247583376263031
Found probable prime factor of 32 digits: 92496541056236438247583376263031
Probable prime cofactor 9263350086582064127298447027451667014374897979566099083674205980098110320670551785060577237 has 91 digits

6×10170+7

c146

name 名前Jo Yeong Uk
date 日付September 8, 2009 06:07:50 UTC 2009 年 9 月 8 日 (火) 15 時 7 分 50 秒 (日本時間)
composite number 合成数
75815378189834846567408712131031443528261571612454128600975701196926299880446137951213378979847518018044496146504128402875774881726424065928589767<146>
prime factors 素因数
54259207804217377507164325108667689661711419580711023<53>
1397281332661513419734474128891275205904136412680671506450765242423612261405435404496170098729<94>
factorization results 素因数分解の結果
Number: 60007_170
N=75815378189834846567408712131031443528261571612454128600975701196926299880446137951213378979847518018044496146504128402875774881726424065928589767
  ( 146 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=54259207804217377507164325108667689661711419580711023
 r2=1397281332661513419734474128891275205904136412680671506450765242423612261405435404496170098729
Version: 
Total time: 35.86 hours.
Scaled time: 85.45 units (timescale=2.383).
Factorization parameters were as follows:
n: 75815378189834846567408712131031443528261571612454128600975701196926299880446137951213378979847518018044496146504128402875774881726424065928589767
m: 10000000000000000000000000000000000
deg: 5
c5: 6
c0: 7
skew: 1.03
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11028490
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 993787 x 994035
Total sieving time: 32.00 hours.
Total relation processing time: 1.50 hours.
Matrix solve time: 2.25 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 35.86 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.. 5347.59 BogoMIPS (lpj=2673799)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672387)
Calibrating delay using timer specific routine.. 5344.57 BogoMIPS (lpj=2672286)
Calibrating delay using timer specific routine.. 5237.81 BogoMIPS (lpj=2618908)
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
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62500Dmitry DomanovJune 13, 2009 03:13:47 UTC 2009 年 6 月 13 日 (土) 12 時 13 分 47 秒 (日本時間)

6×10171+7

c163

name 名前matsui
date 日付June 5, 2008 13:27:59 UTC 2008 年 6 月 5 日 (木) 22 時 27 分 59 秒 (日本時間)
composite number 合成数
1427030378126320819926009326355609214191592305614026387757663739937321748163843163823614696626347803048833326070026186799440477847153697330073801556443529595141747<163>
prime factors 素因数
474552042132264250970127542339833<33>
3007110393444661684023615721112945500024818563987365700417287479523557838981587406237779335223878760263992906197715985864050125259<130>
factorization results 素因数分解の結果
N=1427030378126320819926009326355609214191592305614026387757663739937321748163843163823614696626347803048833326070026186799440477847153697330073801556443529595141747
  ( 163 digits)

SNFS difficulty: 171 digits.

Divisors found:

 r1=474552042132264250970127542339833 (pp33)
 r2=3007110393444661684023615721112945500024818563987365700417287479523557838981587406237779335223878760263992906197715985864050125259 (pp130)
Version: GGNFS-0.77.1-20060513-prescott

Total time: 263.39 hours.

Scaled time: 447.23 units (timescale=1.698).

Factorization parameters were as follows:

n: 1427030378126320819926009326355609214191592305614026387757663739937321748163843163823614696626347803048833326070026186799440477847153697330073801556443529595141747
m: 10000000000000000000000000000000000
c5: 60
c0: 7
skew: 0.65
type: snfs

Factor base limits: 6000000/6000000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3000000, 9100001)

Primes: RFBsize:412849, AFBsize:413211, largePrimes:6243772 encountered

Relations: rels:6522967, finalFF:932713

Max relations in full relation-set: 28
Initial matrix: 826127 x 932713 with sparse part having weight 72156280.

Pruned matrix : 744394 x 748588 with weight 56055920.

Total sieving time: 252.14 hours.

Total relation processing time: 0.27 hours.
Matrix solve time: 10.74 hours.

Time per square root: 0.23 hours.

Prototype def-par.txt line would be:

snfs,171,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,48,48,2.6,2.6,100000

total time: 263.39 hours.

6×10174+7

c151

name 名前Warut Roonguthai
date 日付September 21, 2011 09:59:01 UTC 2011 年 9 月 21 日 (水) 18 時 59 分 1 秒 (日本時間)
composite number 合成数
3224770470030546297909716069120827676075050015166034098049800420877754256506682633896479368391905281708343099533519216343243582361144548884115388244111<151>
prime factors 素因数
51558263803061540107128040800077810447132923147971269<53>
62546141630142688721859625720172802775487443687178653795039661264814513896323199982417191538910019<98>
factorization results 素因数分解の結果
N = 3224770470030546297909716069120827676075050015166034098049800420877754256506682633896479368391905281708343099533519216343243582361144548884115388244111 (151 digits)
SNFS difficulty: 175 digits.
Divisors found:
r1=51558263803061540107128040800077810447132923147971269 (pp53)
r2=62546141630142688721859625720172802775487443687178653795039661264814513896323199982417191538910019 (pp98)
Version: Msieve v. 1.47
Total time: 31.36 hours.
Factorization parameters were as follows:
name: 6*10^174+7
n: 3224770470030546297909716069120827676075050015166034098049800420877754256506682633896479368391905281708343099533519216343243582361144548884115388244111
Y0: 20000000000000000000000000000000000
Y1: -1
c0: 7
c1: 0
c2: 0
c3: 0
c4: 0
c5: 1875
skew: 0.33
type: snfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19834037
Relations: 2261848 relations
Pruned matrix : 1275470 x 1275694
Polynomial selection time: 0.00 hours.
Total sieving time: 27.28 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 3.47 hours.
time per square root: 0.48 hours.
Prototype def-par.txt line would be: snfs,175,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 31.36 hours.
Intel64 Family 6 Model 37 Stepping 5, GenuineIntel
Windows-7-6.1.7600
processors: 4, speed: 2.53GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxOctober 9, 2009 11:16:56 UTC 2009 年 10 月 9 日 (金) 20 時 16 分 56 秒 (日本時間)
403e62063Wataru SakaiApril 11, 2010 05:26:43 UTC 2010 年 4 月 11 日 (日) 14 時 26 分 43 秒 (日本時間)
4511e64000Wataru SakaiAugust 31, 2011 10:02:05 UTC 2011 年 8 月 31 日 (水) 19 時 2 分 5 秒 (日本時間)

6×10175+7

c163

name 名前Ignacio Santos
date 日付June 7, 2010 18:39:20 UTC 2010 年 6 月 8 日 (火) 3 時 39 分 20 秒 (日本時間)
composite number 合成数
5083272053117569785401622287981922170406245404821216909665510927159012162419030331506177112794892513671810936655626092204265268908201407923043432104539821328955279<163>
prime factors 素因数
497754530654158898262482918388193<33>
10212407401770974562203373259905645116915575153544103149285082741091258068049866810239921241211727728204394618259915974357728769903<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=946743402
Step 1 took 25631ms
Step 2 took 17784ms
********** Factor found in step 2: 497754530654158898262482918388193
Found probable prime factor of 33 digits: 497754530654158898262482918388193
Probable prime cofactor 10212407401770974562203373259905645116915575153544103149285082741091258068049866810239921241211727728204394618259915974357728769903 has 131 digits
software ソフトウェア
GMP-ECM 6.2.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)

6×10176+7

c175

name 名前matsui
date 日付June 24, 2008 14:48:13 UTC 2008 年 6 月 24 日 (火) 23 時 48 分 13 秒 (日本時間)
composite number 合成数
4026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966443<175>
prime factors 素因数
230266112072425854835615673997286041414191311<45>
17487790979496472353574388242068301111731661211926813193993672549877478287762758543465832179237070194085811306528123110099573405413<131>
factorization results 素因数分解の結果
N=4026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966443
  ( 175 digits)

SNFS difficulty: 176 digits.

Divisors found:

 r1=230266112072425854835615673997286041414191311 (pp45)

 r2=17487790979496472353574388242068301111731661211926813193993672549877478287762758543465832179237070194085811306528123110099573405413 (pp131)

Version: GGNFS-0.77.1-20060513-prescott

Total time: 252.84 hours.

Scaled time: 347.40 units (timescale=1.374).

Factorization parameters were as follows:

n: 4026845637583892617449664429530201342281879194630872483221476510067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966443
m: 100000000000000000000000000000000000
c5: 60
c0: 7
skew: 0.65
type: snfs



Factor base limits: 7400000/7400000

Large primes per side: 3

Large prime bits: 27/27

Max factor residue bits: 48/48

Sieved algebraic special-q in [3700000, 14200001)

Primes: RFBsize:501962, AFBsize:502341, largePrimes:6688647 encountered

Relations: rels:7170745, finalFF:1136864

Max relations in full relation-set: 28

Initial matrix: 1004370 x 1136864 with sparse part having weight 89462948.

Pruned matrix : 897008 x 902093 with weight 70418949.

Total sieving time: 237.69 hours.

Total relation processing time: 0.25 hours.

Matrix solve time: 14.56 hours.

Time per square root: 0.34 hours.

Prototype def-par.txt line would be:

snfs,176,5,0,0,0,0,0,0,0,0,7400000,7400000,27,27,48,48,2.6,2.6,100000

total time: 252.84 hours.

6×10177+7

c156

name 名前Robert Backstrom
date 日付January 16, 2012 10:32:51 UTC 2012 年 1 月 16 日 (月) 19 時 32 分 51 秒 (日本時間)
composite number 合成数
476105577349555968653423484670079881893650270717546455361263798093356878442400318859426135313699514091147191651598059226007736043516071044114741137154988687<156>
prime factors 素因数
137957768547432597600421483945944484145457751898950245102953<60>
3451096537458573746877784904719289281833843474701496376345681098244629876207369940038932275181879<97>
factorization results 素因数分解の結果
Number: n
N=476105577349555968653423484670079881893650270717546455361263798093356878442400318859426135313699514091147191651598059226007736043516071044114741137154988687
  ( 156 digits)
SNFS difficulty: 177 digits.
Divisors found:

Mon Jan 16 21:25:54 2012  prp60 factor: 137957768547432597600421483945944484145457751898950245102953
Mon Jan 16 21:25:54 2012  prp97 factor: 3451096537458573746877784904719289281833843474701496376345681098244629876207369940038932275181879
Mon Jan 16 21:25:54 2012  elapsed time 02:18:09 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.649).
Factorization parameters were as follows:
name: KA_60007_177
n: 476105577349555968653423484670079881893650270717546455361263798093356878442400318859426135313699514091147191651598059226007736043516071044114741137154988687
m: 100000000000000000000000000000000000
deg: 5
c5: 600
c0: 7
skew: 0.41
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 7431760 hash collisions in 75000098 relations
Msieve: matrix is 1083007 x 1083243 (303.0 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,177,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336300Dmitry DomanovApril 8, 2011 06:57:39 UTC 2011 年 4 月 8 日 (金) 15 時 57 分 39 秒 (日本時間)
2036Wataru SakaiOctober 24, 2011 00:57:27 UTC 2011 年 10 月 24 日 (月) 9 時 57 分 27 秒 (日本時間)
4511e64000Wataru SakaiNovember 8, 2011 13:40:23 UTC 2011 年 11 月 8 日 (火) 22 時 40 分 23 秒 (日本時間)
5043e60--
5511e72735 / 17501yoyo@homeFebruary 22, 2012 00:28:08 UTC 2012 年 2 月 22 日 (水) 9 時 28 分 8 秒 (日本時間)

6×10181+7

c172

name 名前Robert Backstrom
date 日付February 2, 2012 09:11:26 UTC 2012 年 2 月 2 日 (木) 18 時 11 分 26 秒 (日本時間)
composite number 合成数
1304811672141647128067469671501327371072192542320743086647744201824677213349127005489497172655029836439022628624028815572659455270501236162800839194176381263884292912981137<172>
prime factors 素因数
410017432524380165263628364615764230851743814725679469252361<60>
3182332185507896285509820418496848430448675599100716022605720663029243697716260322491423099353138680884612531017<112>
factorization results 素因数分解の結果
Number: n
N=1304811672141647128067469671501327371072192542320743086647744201824677213349127005489497172655029836439022628624028815572659455270501236162800839194176381263884292912981137
  ( 172 digits)
SNFS difficulty: 181 digits.
Divisors found:

Thu Feb  2 20:01:53 2012  prp60 factor: 410017432524380165263628364615764230851743814725679469252361
Thu Feb  2 20:01:53 2012  prp112 factor: 3182332185507896285509820418496848430448675599100716022605720663029243697716260322491423099353138680884612531017
Thu Feb  2 20:01:53 2012  elapsed time 02:04:07 (Msieve 1.44 - dependency 1)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.659).
Factorization parameters were as follows:
name: KA_60007_181
n: 1304811672141647128067469671501327371072192542320743086647744201824677213349127005489497172655029836439022628624028815572659455270501236162800839194176381263884292912981137
m: 1000000000000000000000000000000000000
deg: 5
c5: 60
c0: 7
skew: 0.65
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 9000000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5567033 hash collisions in 75000100 relations
Msieve: matrix is 997351 x 997599 (278.2 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,181,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5595.06 BogoMIPS (lpj=2797533)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797553)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Total of 8 processors activated (44760.82 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 8, 2011 06:57:51 UTC 2011 年 4 月 8 日 (金) 15 時 57 分 51 秒 (日本時間)

6×10183+7

c184

name 名前Jo Yeong Uk
date 日付October 13, 2007 00:50:32 UTC 2007 年 10 月 13 日 (土) 9 時 50 分 32 秒 (日本時間)
composite number 合成数
6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<184>
prime factors 素因数
4646109535270935651861373920553944113<37>
1291403044730436574664225203953221354301912479271324672689780038042977651172600578097674193944368819808698887156719580132180993397271065994090189239<148>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007 (184 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1341276002
Step 1 took 29978ms
Step 2 took 12382ms
********** Factor found in step 2: 4646109535270935651861373920553944113
Found probable prime factor of 37 digits: 4646109535270935651861373920553944113
Probable prime cofactor 1291403044730436574664225203953221354301912479271324672689780038042977651172600578097674193944368819808698887156719580132180993397271065994090189239 has 148 digits
execution environment 実行環境
Core 2 Quad Q6600

6×10184+7

c136

name 名前Robert Backstrom
date 日付May 25, 2012 12:19:28 UTC 2012 年 5 月 25 日 (金) 21 時 19 分 28 秒 (日本時間)
composite number 合成数
1013290485164645651392025913613441082446089945258580578758315397137018066014731982099954953443605981588073923668339279975098926413033509<136>
prime factors 素因数
131935204767316660471140556311202389169<39>
2119070511668868360781759359292368903619451<43>
3624331062217507668366103060087084969379043502436192911<55>
factorization results 素因数分解の結果
Number: n
N=1013290485164645651392025913613441082446089945258580578758315397137018066014731982099954953443605981588073923668339279975098926413033509
  ( 136 digits)
Divisors found:

Fri May 25 21:51:11 2012  prp39 factor: 131935204767316660471140556311202389169
Fri May 25 21:51:11 2012  prp43 factor: 2119070511668868360781759359292368903619451
Fri May 25 21:51:11 2012  prp55 factor: 3624331062217507668366103060087084969379043502436192911
Fri May 25 21:51:11 2012  elapsed time 06:34:32 (Msieve 1.44 - dependency 8)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.091).
Factorization parameters were as follows:
name: KA_60007_184
n: 1013290485164645651392025913613441082446089945258580578758315397137018066014731982099954953443605981588073923668339279975098926413033509
skew: 263658.31
# norm 9.04e+18
c5: 49200
c4: -40343196692
c3: 123788104392857921
c2: 3481999101446457016764
c1: -1771119636978555499146868650
c0: -70890648850057738601218264985916
# alpha -6.05
Y1: 529714378287427
Y0: -115545782720104995508677167
# Murphy_E 3.41e-11
# M 4637131940072369469364807479098005215255701509157435186233125742916258565628844386087386085407891688326851293299337126062054147145555
type: gnfs
rlim: 20000000
alim: 20000000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
qintsize: 60000
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [100000, 17620000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 2656664 hash collisions in 26899454 relations (25290715 unique)
Msieve: matrix is 1587985 x 1588210 (460.9 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:
gnfs,135,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,20000000,20000000,28,28,56,56,2.5,2.5,60000
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: 4015340k/5242880k available (3972k kernel code, 1049604k absent, 177936k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.43 BogoMIPS (lpj=2830715)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830448)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830456)
Total of 4 processors activated (22644.15 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 8, 2011 06:58:04 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 4 秒 (日本時間)

6×10185+7

c106

name 名前Robert Backstrom
date 日付October 16, 2007 14:46:00 UTC 2007 年 10 月 16 日 (火) 23 時 46 分 0 秒 (日本時間)
composite number 合成数
5142556109783744147491364117529179269926062940937525300905943350583234457373321719669183987601774864930079<106>
prime factors 素因数
15856940822896359383771402356889784989979289<44>
324309472250677628769264887001027044666888119049640084725461111<63>
factorization results 素因数分解の結果
Number: n
N=5142556109783744147491364117529179269926062940937525300905943350583234457373321719669183987601774864930079
  ( 106 digits)
Divisors found:

Wed Oct 17 00:32:49 2007  prp44 factor: 15856940822896359383771402356889784989979289
Wed Oct 17 00:32:49 2007  prp63 factor: 324309472250677628769264887001027044666888119049640084725461111
Wed Oct 17 00:32:49 2007  elapsed time 00:52:18 (Msieve 1.28)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 8.70 hours.
Scaled time: 12.65 units (timescale=1.454).
Factorization parameters were as follows:
name: n
n: 5142556109783744147491364117529179269926062940937525300905943350583234457373321719669183987601774864930079
skew: 21313.42
# norm 5.43e+14
c5: 9000
c4: -76048988
c3: 12119061025586
c2: -340898511045832731
c1: -5046737451005388060230
c0: -9154601256957836199856000
# alpha -6.42
Y1: 5525266307
Y0: -224588401435796917287
# Murphy_E 1.76e-09
# M 241119437529606858479298978826451053129591147004948447723988093141534466268833497155997142159084665980338
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved  special-q in [100000, 1300000)
Primes: RFBsize:183072, AFBsize:182920, largePrimes:4087871 encountered
Relations: rels:4028528, finalFF:410738
Max relations in full relation-set: 28
Initial matrix: 366075 x 410738 with sparse part having weight 23343007.
Pruned matrix : 317878 x 319772 with weight 13914370.
Total sieving time: 8.54 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
gnfs,105,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 8.70 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

6×10186+7

c152

name 名前Dmitry Domanov
date 日付August 25, 2014 06:29:06 UTC 2014 年 8 月 25 日 (月) 15 時 29 分 6 秒 (日本時間)
composite number 合成数
23033226245201501832390277337317725500731171024204881615168109882192616835620606840074909688773652350706322538085839215885639656006505103747675537480751<152>
prime factors 素因数
323264810356988131992461527949813501328632517243183249085555519722893<69>
71251882380162027040770852139908078618182136926303527150277099348190087274606318507<83>
factorization results 素因数分解の結果
N=23033226245201501832390277337317725500731171024204881615168109882192616835620606840074909688773652350706322538085839215885639656006505103747675537480751
  ( 152 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=323264810356988131992461527949813501328632517243183249085555519722893 (pp69)
 r2=71251882380162027040770852139908078618182136926303527150277099348190087274606318507 (pp83)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 179.15 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 23033226245201501832390277337317725500731171024204881615168109882192616835620606840074909688773652350706322538085839215885639656006505103747675537480751
m: 10000000000000000000000000000000000000
deg: 5
c5: 60
c0: 7
skew: 0.65
# Murphy_E = 5.889e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 400000
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, 12950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1836348 x 1836574
Total sieving time: 175.02 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 3.46 hours.
Time per square root: 0.42 hours.
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: 179.15 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:58:13 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 13 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:51:30 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 30 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:51:30 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 30 秒 (日本時間)

6×10188+7

c101

name 名前Robert Backstrom
date 日付October 14, 2007 18:17:33 UTC 2007 年 10 月 15 日 (月) 3 時 17 分 33 秒 (日本時間)
composite number 合成数
94584175249780957684016168054931694295712083157601963382080588311931355733585636495867363625056572293<101>
prime factors 素因数
3525119596170058088736272803183372325772469391249<49>
26831479803562967544394299568098567920660248574603957<53>
factorization results 素因数分解の結果
Number: n
N=94584175249780957684016168054931694295712083157601963382080588311931355733585636495867363625056572293
  ( 101 digits)
Divisors found:
 r1=3525119596170058088736272803183372325772469391249 (pp49)
 r2=26831479803562967544394299568098567920660248574603957 (pp53)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 6.98 hours.
Scaled time: 9.14 units (timescale=1.309).
Factorization parameters were as follows:
name: n
n: 94584175249780957684016168054931694295712083157601963382080588311931355733585636495867363625056572293
skew: 7737.01
# norm 9.79e+13
c5: 78000
c4: -297470066
c3: -15863340244548
c2: 7080761517578508
c1: 414301049080350364575
c0: -367453236957540790697550
# alpha -5.80
Y1: 14831016739
Y0: -16471952224750940243
# Murphy_E 2.86e-09
# M 1155531281704554954285740779202815785221773336456573589977276941683087980735395064780088119878136440
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 900001)
Primes: RFBsize:135072, AFBsize:135064, largePrimes:3586849 encountered
Relations: rels:3583146, finalFF:407778
Max relations in full relation-set: 48
Initial matrix: 270216 x 407778 with sparse part having weight 25913894.
Pruned matrix : 153604 x 155019 with weight 8586650.
Total sieving time: 6.41 hours.
Total relation processing time: 0.15 hours.
Matrix solve time: 0.35 hours.
Total square root time: 0.06 hours, sqrts: 1.
Prototype def-par.txt line would be:
gnfs,100,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 6.98 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

6×10189+7

c165

name 名前Serge Batalov
date 日付July 11, 2008 20:17:25 UTC 2008 年 7 月 12 日 (土) 5 時 17 分 25 秒 (日本時間)
composite number 合成数
966310596158546008028351978981841388016868014134895901707308618655405086993513185670537451907963695587242716066050497940499144729136501634463385067300137474216767341<165>
prime factors 素因数
84650755361806968467920668269<29>
composite cofactor 合成数の残り
11415262534024941376215177642404391202003957780146884337777704466878931859742980790987063731573828128798768767273676353885360988327570689<137>
factorization results 素因数分解の結果
Input number is 966310596158546008028351978981841388016868014134895901707308618655405086993513185670537451907963695587242716066050497940499144729136501634463385067300137474216767341 (165 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1415196895
Step 1 took 8259ms
Step 2 took 5261ms
********** Factor found in step 2: 84650755361806968467920668269
Found probable prime factor of 29 digits: 84650755361806968467920668269
Composite cofactor 11415262534024941376215177642404391202003957780146884337777704466878931859742980790987063731573828128798768767273676353885360988327570689 has 137 digits
software ソフトウェア
GMP-ECM 6.2.1

c137

name 名前Dmitry Domanov
date 日付April 8, 2011 15:34:31 UTC 2011 年 4 月 9 日 (土) 0 時 34 分 31 秒 (日本時間)
composite number 合成数
11415262534024941376215177642404391202003957780146884337777704466878931859742980790987063731573828128798768767273676353885360988327570689<137>
prime factors 素因数
4062121527632102156060091728424317<34>
1680909826812190287292239045721606212547297<43>
1671816379013681629754808124264716372502592202633848031929461<61>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=249225484
Step 1 took 49738ms
Step 2 took 19059ms
********** Factor found in step 2: 4062121527632102156060091728424317
Found probable prime factor of 34 digits: 4062121527632102156060091728424317
Composite cofactor 2810172580109670665061543829843085572467362994634464040515566216874805322916400896033915529742630216917 has 103 digits

C103 was done by gnfs
------------
N=2810172580109670665061543829843085572467362994634464040515566216874805322916400896033915529742630216917
  ( 103 digits)
Divisors found:
 r1=1680909826812190287292239045721606212547297 (pp43)
 r2=1671816379013681629754808124264716372502592202633848031929461 (pp61)
Version: Msieve v. 1.47
Total time: 1.58 hours.
Scaled time: 1.85 units (timescale=1.174).
Factorization parameters were as follows:
name: 103
n: 2810172580109670665061543829843085572467362994634464040515566216874805322916400896033915529742630216917
skew: 9200.43
# norm 2.84e+14
c5: 53040
c4: -1673564636
c3: -27419213854708
c2: 112471947928173123
c1: 716864470486832776802
c0: -2318817055777750515874176
# alpha -6.05
Y1: 31163896733
Y0: -35061325557572387555
# Murphy_E 2.38e-09
# M 638690090155845100109549433781121325054375085394356099026531565347648561435193746801360286312356226940
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 : 256442 x 256667
Polynomial selection time: 0.57 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.89 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: 1.58 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 8, 2011 06:58:22 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 22 秒 (日本時間)

6×10190+7

c175

name 名前Robert Backstrom
date 日付March 5, 2012 05:48:49 UTC 2012 年 3 月 5 日 (月) 14 時 48 分 49 秒 (日本時間)
composite number 合成数
2709889658548731451122480095270283496819932187842515682329446966153110852882478250621068541614237571412505031571000596107867873686142132098328942906989237732888406053155956009<175>
prime factors 素因数
33951908294718475771806931750360129453<38>
4287985150835009147240230901276407666355812535398225891776259<61>
18613761531501886916940212646954689821596504368526684251366135903378899692367<77>
factorization results 素因数分解の結果
Number: n
N=2709889658548731451122480095270283496819932187842515682329446966153110852882478250621068541614237571412505031571000596107867873686142132098328942906989237732888406053155956009
  ( 175 digits)
SNFS difficulty: 190 digits.
Divisors found:

Mon Mar  5 16:45:30 2012  prp38 factor: 33951908294718475771806931750360129453
Mon Mar  5 16:45:30 2012  prp61 factor: 4287985150835009147240230901276407666355812535398225891776259
Mon Mar  5 16:45:30 2012  prp77 factor: 18613761531501886916940212646954689821596504368526684251366135903378899692367
Mon Mar  5 16:45:30 2012  elapsed time 04:40:17 (Msieve 1.44 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.658).
Factorization parameters were as follows:
name: KA_60007_190
n: 2709889658548731451122480095270283496819932187842515682329446966153110852882478250621068541614237571412505031571000596107867873686142132098328942906989237732888406053155956009
m: 100000000000000000000000000000000000000
#  c175, diff: 190.78
skew: 1.03
deg: 5
c5: 6
c0: 7
type: snfs
lss: 1
rlim: 15000000
alim: 15000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 15000000/15000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 13100000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 9800446 hash collisions in 78233392 relations (72716721 unique)
Msieve: matrix is 1293308 x 1293537 (362.3 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,190,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU1: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU2: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU3: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU4: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU5: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU6: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
CPU7: Intel(R) Core(TM) i7 CPU         930  @ 2.80GHz stepping 05
Memory: 6059348k/6815744k available (3972k kernel code, 525828k absent, 230568k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5596.93 BogoMIPS (lpj=2798468)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.12 BogoMIPS (lpj=2797560)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797555)
Calibrating delay using timer specific routine.. 5595.10 BogoMIPS (lpj=2797554)
Calibrating delay using timer specific routine.. 5595.11 BogoMIPS (lpj=2797556)
Total of 8 processors activated (44762.71 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e6300 / 2336Dmitry DomanovApril 8, 2011 06:58:31 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 31 秒 (日本時間)

6×10191+7

c167

composite cofactor 合成数の残り
44082594640568368454294015955624041418396330514721274542463248405699515720176035007651007899202436324127702258978496687305094052765765497688323437692609397280932236251<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:58:41 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 41 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:51:43 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 43 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:51:43 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 43 秒 (日本時間)

6×10192+7

c123

name 名前Tyler Cadigan
date 日付May 27, 2008 17:50:37 UTC 2008 年 5 月 28 日 (水) 2 時 50 分 37 秒 (日本時間)
composite number 合成数
830712192013686323660709168931323872031297610912396291073166633804134415081608887012251142715040805151323146247750773820781<123>
prime factors 素因数
10102569630990212054844298716593986140238949067257353<53>
82227811572357690683721133099265358362960911903422547606796172190078277<71>
factorization results 素因数分解の結果
Number: 6007_192
N=830712192013686323660709168931323872031297610912396291073166633804134415081608887012251142715040805151323146247750773820781
  ( 123 digits)
Divisors found:
 r1=10102569630990212054844298716593986140238949067257353
 r2=82227811572357690683721133099265358362960911903422547606796172190078277
Version: 
Total time: 74.14 hours.
Scaled time: 188.47 units (timescale=2.542).
Factorization parameters were as follows:
name: 6007_192
n: 830712192013686323660709168931323872031297610912396291073166633804134415081608887012251142715040805151323146247750773820781
skew: 77203.59
# norm 1.08e+017
c5: 172080
c4: 14838727404
c3: 1262193336427372
c2: -114796568745882147319
c1: -8195967742681946605855362
c0: -73190742726070200388319319520
# alpha -6.58
Y1: 23760673514311
Y0: -344146629317608937143053
# Murphy_E 1.96e-010
# M 283682133566270285574732015551287576199838655615985021782250332088258772742605296116457305471500075826863743323124395905458
type: gnfs
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
qintsize: 60000
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [2500000, 5800001)
Primes: rational ideals filtering, algebraic ideals filtering, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 746953 x 747201
Polynomial selection time: 7.91 hours.
Total sieving time: 66.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5000000,5000000,27,27,50,50,2.4,2.4,60000
total time: 74.14 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNS, Msieve
execution environment 実行環境
C2Q Q6600 2.4 Ghz, 4 gb RAM, Vista

6×10193+7

c194

name 名前Jo Yeong Uk
date 日付October 12, 2007 15:40:50 UTC 2007 年 10 月 13 日 (土) 0 時 40 分 50 秒 (日本時間)
composite number 合成数
60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<194>
prime factors 素因数
9431867921209970677263227064224760463<37>
composite cofactor 合成数の残り
6361412235753920282712594389572541485300199982510262458997768914548898435588007324833733189857362507423842664895526461468007039663923961796686299905053607689<157>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM]
Input number is 60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007 (194 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=177507791
Step 1 took 31716ms
Step 2 took 13032ms
********** Factor found in step 2: 9431867921209970677263227064224760463
Found probable prime factor of 37 digits: 9431867921209970677263227064224760463
Composite cofactor 6361412235753920282712594389572541485300199982510262458997768914548898435588007324833733189857362507423842664895526461468007039663923961796686299905053607689 has 157 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
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:58:50 UTC 2011 年 4 月 8 日 (金) 15 時 58 分 50 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:51:57 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 57 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:51:57 UTC 2012 年 12 月 26 日 (水) 23 時 51 分 57 秒 (日本時間)

6×10194+7

c186

name 名前Serge Batalov
date 日付October 22, 2008 17:32:34 UTC 2008 年 10 月 23 日 (木) 2 時 32 分 34 秒 (日本時間)
composite number 合成数
122930467399673001965408829756062298021234016889747598998378860402806069937442932719018699987856047428577269876009497033416247754993351634509688979813981120911262968078168764997513181183<186>
prime factors 素因数
126110244771031557278809682152871<33>
974785733093042308010396782144898734663233985206820852016727149290684723767326775717208198754930119035872196205293376228506927605092858346962533362269673<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1132209484
Step 1 took 21881ms
Step 2 took 14389ms
********** Factor found in step 2: 126110244771031557278809682152871
Found probable prime factor of 33 digits: 126110244771031557278809682152871
Probable prime cofactor 974785733093042308010396782144898734663233985206820852016727149290684723767326775717208198754930119035872196205293376228506927605092858346962533362269673 has 153 digits
software ソフトウェア
GMP-ECM 6.2.1

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)

6×10196+7

c160

composite cofactor 合成数の残り
9613607166989736134299362490031666760532613019805236282573225766833897002722570685520499776745706723160946243107556688566855696310017420714882290020460831410911<160>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:59:05 UTC 2011 年 4 月 8 日 (金) 15 時 59 分 5 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:52:08 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 8 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:52:08 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 8 秒 (日本時間)

6×10197+7

c182

composite cofactor 合成数の残り
19455979469469794253772848516128838861610097206592201868555527257136441631155698516622220345713779394865237964580168303704305679589414854258492007128363638789307445084309063710662493<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:59:14 UTC 2011 年 4 月 8 日 (金) 15 時 59 分 14 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:52:24 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 24 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:52:24 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 24 秒 (日本時間)

6×10198+7

c124

name 名前Erik Branger
date 日付October 3, 2009 12:25:27 UTC 2009 年 10 月 3 日 (土) 21 時 25 分 27 秒 (日本時間)
composite number 合成数
4696259941494445597344934071014281667903341455948176056974276671061552942678133843753512726575345913843588902774011739113567<124>
prime factors 素因数
5578023513293801818533172337270300793467390504065490987063639<61>
841921861803218150630322445765550878314463032851719559505591353<63>
factorization results 素因数分解の結果
Number: 60007_198
N=4696259941494445597344934071014281667903341455948176056974276671061552942678133843753512726575345913843588902774011739113567
  ( 124 digits)
Divisors found:
 r1=5578023513293801818533172337270300793467390504065490987063639 (pp61)
 r2=841921861803218150630322445765550878314463032851719559505591353 (pp63)
Version: Msieve-1.40
Total time: 105.45 hours.
Scaled time: 103.02 units (timescale=0.977).
Factorization parameters were as follows:
# Murphy_E = 1.871862e-10, selected by Jeff Gilchrist 
n: 
4696259941494445597344934071014281667903341455948176056974276671061552942678133843753512726575345913843588902774011739113567
Y0: -731385356919230950702233
Y1: 27519743625683
c0: 32127868542654071627549661608
c1: 153965668232279984138120
c2: -7127488219309338392
c3: -341107411740763
c4: -2788317394
c5: 22440
skew: 88733.3
type: gnfs
# selected mechanically
rlim: 6600000
alim: 6600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6600000/6600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved algebraic special-q in [3300000, 6100001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 933962 x 934187
Total sieving time: 101.60 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 2.86 hours.
Time per square root: 0.75 hours.
Prototype def-par.txt line would be:
gnfs,123,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,6600000,6600000,27,27,52,52,2.5,2.5,100000
total time: 105.45 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 2, 2009 16:44:04 UTC 2009 年 3 月 3 日 (火) 1 時 44 分 4 秒 (日本時間)
1836Wataru SakaiAugust 29, 2009 05:20:07 UTC 2009 年 8 月 29 日 (土) 14 時 20 分 7 秒 (日本時間)

6×10199+7

c167

composite cofactor 合成数の残り
12621521194104600741672319701369468179803954538245274390523021268457371223901198823700830829932612854216290231478862756042220252177081936177877550566997746016108130033<167>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaOctober 11, 2007 09:00:00 UTC 2007 年 10 月 11 日 (木) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62300300Dmitry DomanovApril 8, 2011 06:59:22 UTC 2011 年 4 月 8 日 (金) 15 時 59 分 22 秒 (日本時間)
2000Dmitry DomanovDecember 26, 2012 14:52:35 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 35 秒 (日本時間)
4511e61000 / 3970Dmitry DomanovDecember 26, 2012 14:52:35 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 35 秒 (日本時間)

6×10202+7

c190

name 名前Dmitry Domanov
date 日付December 24, 2012 06:07:39 UTC 2012 年 12 月 24 日 (月) 15 時 7 分 39 秒 (日本時間)
composite number 合成数
2423201703860934338076074991249582351873016236021483640740080163425473414389437233337198311878579269881579732434364560584565306648337171283875900211964974537683295205087841281030182444889797<190>
prime factors 素因数
50135752524495184541457597901358271437<38>
48332808063008793678040931825323467980849094936043097165539122607616056747712751607212659251160353111512279211719189440972973326590999144764412511768281<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2171463521
Step 1 took 124048ms
Step 2 took 40260ms
********** Factor found in step 2: 50135752524495184541457597901358271437
Found probable prime factor of 38 digits: 50135752524495184541457597901358271437

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:32:42 UTC 2012 年 12 月 11 日 (火) 17 時 32 分 42 秒 (日本時間)

6×10203+7

c152

name 名前Dmitry Domanov
date 日付December 18, 2012 05:54:03 UTC 2012 年 12 月 18 日 (火) 14 時 54 分 3 秒 (日本時間)
composite number 合成数
12446663460353625218124785607497472800506981741804691687546649888353535336671690520276814960246513642603672161192130152233960715808404203143301103794801<152>
prime factors 素因数
1022383201200087451374353785341135857<37>
80575352925971965921427696854895450124272565139<47>
151090453804326234977595485114149605132969713693416689943631794485787<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3776163958
Step 1 took 16459ms
Step 2 took 7268ms
********** Factor found in step 2: 1022383201200087451374353785341135857
Found probable prime factor of 37 digits: 1022383201200087451374353785341135857
Composite cofactor 12174166639028850047307086495620485982817906984125924166934592053201924359994097915190103614476144387616425967179393 has 116 digits

N=12174166639028850047307086495620485982817906984125924166934592053201924359994097915190103614476144387616425967179393
  ( 116 digits)
Divisors found:
 r1=80575352925971965921427696854895450124272565139 (pp47)
 r2=151090453804326234977595485114149605132969713693416689943631794485787 (pp69)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 39.65 hours.
Scaled time: 39.21 units (timescale=0.989).
Factorization parameters were as follows:
name: 116n
n: 12174166639028850047307086495620485982817906984125924166934592053201924359994097915190103614476144387616425967179393
skew: 70166.55
# norm 1.21e+16
c5: 19440
c4: -6426961726
c3: -211665580841263
c2: 29012933885098227435
c1: 510939214704217780249915
c0: -18176315124129222653436026225
# alpha -6.37
Y1: 4141068401701
Y0: -14433007451856264421398
# Murphy_E 5.05e-10
# M 883832464942869405149528965992564311714439331264691335817227707606618184368534030272733118001766031647684494399326
type: gnfs
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1700000, 2900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 586134 x 586360
Polynomial selection time: 3.16 hours.
Total sieving time: 35.60 hours.
Total relation processing time: 0.25 hours.
Matrix solve time: 0.52 hours.
Time per square root: 0.12 hours.
Prototype def-par.txt line would be:
gnfs,115,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3400000,3400000,27,27,53,53,2.5,2.5,100000
total time: 39.65 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:32:52 UTC 2012 年 12 月 11 日 (火) 17 時 32 分 52 秒 (日本時間)

6×10205+7

c159

composite cofactor 合成数の残り
390150384603197270344650340341447864236216583062762717193869527839662085793894520825715316592236137995454193477959232073138116267015487072844569237969001036341<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:32:59 UTC 2012 年 12 月 11 日 (火) 17 時 32 分 59 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:52:49 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 49 秒 (日本時間)
4511e61000 / 3131Dmitry DomanovDecember 26, 2012 14:52:49 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 49 秒 (日本時間)
5043e6240 / 7245Dmitry DomanovJuly 29, 2014 12:59:03 UTC 2014 年 7 月 29 日 (火) 21 時 59 分 3 秒 (日本時間)

6×10206+7

c169

name 名前Warut Roonguthai
date 日付December 9, 2012 13:54:34 UTC 2012 年 12 月 9 日 (日) 22 時 54 分 34 秒 (日本時間)
composite number 合成数
1421279851148486238259813084899274927177673696962069606082617542099893673500437158867361037149792234313337055056780764230679630317868759200435917133980122284806377379599<169>
prime factors 素因数
47610942844035418799767878506723<32>
composite cofactor 合成数の残り
29851957685533225348866817364145040794537927876485297819076899417291498608984282857166137292469986490713884149268699121305349879828061413<137>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2750254752
Step 1 took 8065ms
Step 2 took 5944ms
********** Factor found in step 2: 47610942844035418799767878506723
Found probable prime factor of 32 digits: 47610942844035418799767878506723
Composite cofactor 29851957685533225348866817364145040794537927876485297819076899417291498608984282857166137292469986490713884149268699121305349879828061413 has 137 digits
software ソフトウェア
GMP-ECM 6.3

c137

name 名前Erik Branger
date 日付June 10, 2014 18:42:41 UTC 2014 年 6 月 11 日 (水) 3 時 42 分 41 秒 (日本時間)
composite number 合成数
29851957685533225348866817364145040794537927876485297819076899417291498608984282857166137292469986490713884149268699121305349879828061413<137>
prime factors 素因数
214248538984621315264600790146421585817776256097422353<54>
139333308068327076745152855141688734786907019507601272338989134167149767438777264021<84>
factorization results 素因数分解の結果
Number: 60007_206
N = 29851957685533225348866817364145040794537927876485297819076899417291498608984282857166137292469986490713884149268699121305349879828061413 (137 digits)
Divisors found:
r1=214248538984621315264600790146421585817776256097422353 (pp54)
r2=139333308068327076745152855141688734786907019507601272338989134167149767438777264021 (pp84)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 135.81 hours.
Factorization parameters were as follows:
# Murphy_E = 3.099e-11, selected by Erik Branger
# expecting poly E from 3.36e-011 to > 3.87e-011
n: 29851957685533225348866817364145040794537927876485297819076899417291498608984282857166137292469986490713884149268699121305349879828061413
Y0: -404400922703531428278186799
Y1: 130031229547969
c0: 16555030265331874879168021326227520
c1: 68569979981822692978253264088
c2: -203153756823276337555802
c3: -323602320137665837
c4: 60206003458
c5: 2760
skew: 1838058.97
type: gnfs
# selected mechanically
rlim: 14600000
alim: 14600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
Factor base limits: 14600000/14600000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 22812116
Relations: 3780220 relations
Pruned matrix : 2276578 x 2276803
Polynomial selection time: 0.00 hours.
Total sieving time: 131.96 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 3.61 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,136,5,65,2000,1e-05,0.28,250,20,50000,3600,14600000,14600000,28,28,55,55,2.6,2.6,100000
total time: 135.81 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 10, 2012 17:50:30 UTC 2012 年 12 月 11 日 (火) 2 時 50 分 30 秒 (日本時間)
403e63800Warut RoonguthaiDecember 10, 2012 17:50:30 UTC 2012 年 12 月 11 日 (火) 2 時 50 分 30 秒 (日本時間)
4511e649001000Dmitry DomanovDecember 26, 2012 14:52:58 UTC 2012 年 12 月 26 日 (水) 23 時 52 分 58 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:41 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 41 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:49 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 49 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:07 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 7 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:12 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 12 秒 (日本時間)

6×10207+7

c202

composite cofactor 合成数の残り
3448154978474892546870483276161008148564906632583570346097062114489089750301857233740656218373953556800594921672286201460753387381246979272565731891008418670379946450153184284918747101394721219543452787<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:33:20 UTC 2012 年 12 月 11 日 (火) 17 時 33 分 20 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:53:08 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 8 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:53:08 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 8 秒 (日本時間)

6×10208+7

c184

name 名前Warut Roonguthai
date 日付December 9, 2012 18:23:00 UTC 2012 年 12 月 10 日 (月) 3 時 23 分 0 秒 (日本時間)
composite number 合成数
7901829920438764642548468853023836851687359329069049780755204188872642304227974074724288576359733043076382020252580510316999415820562431766821408605829299496295239675954338535837952383<184>
prime factors 素因数
518300672415152028484941321220462541<36>
composite cofactor 合成数の残り
15245648599331745996592669058192303775404127483645189850208123485460061508422522365017347561080246123829808723068874580567406563796796910945663050363<149>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3290846248
Step 1 took 10561ms
********** Factor found in step 1: 518300672415152028484941321220462541
Found probable prime factor of 36 digits: 518300672415152028484941321220462541
Composite cofactor 15245648599331745996592669058192303775404127483645189850208123485460061508422522365017347561080246123829808723068874580567406563796796910945663050363 has 149 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:33:26 UTC 2012 年 12 月 11 日 (火) 17 時 33 分 26 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:53:18 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 18 秒 (日本時間)
4511e61000 / 3131Dmitry DomanovDecember 26, 2012 14:53:18 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 18 秒 (日本時間)
5043e6240 / 7245Dmitry DomanovJuly 29, 2014 12:58:46 UTC 2014 年 7 月 29 日 (火) 21 時 58 分 46 秒 (日本時間)

6×10210+7

c206

composite cofactor 合成数の残り
62479824223427851422977996688569316158323874582166175505826243608834647145192698191209088731763701304786995865918297216523830846289219106330247524236965146671387364496881215440847226416469681665295581635097<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:33:36 UTC 2012 年 12 月 11 日 (火) 17 時 33 分 36 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:53:31 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 31 秒 (日本時間)
4511e640501000Dmitry DomanovDecember 26, 2012 14:53:31 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:01 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 1 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:21 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 21 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:02 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 2 秒 (日本時間)

6×10211+7

c155

composite cofactor 合成数の残り
25909632908178474788170026327228499646822068320556771863929438642458586865958994142627553190505332362850682781361709227017992018711003629202247541890369457<155>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:33:44 UTC 2012 年 12 月 11 日 (火) 17 時 33 分 44 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:53:40 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 40 秒 (日本時間)
4511e61000 / 3131Dmitry DomanovDecember 26, 2012 14:53:40 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 40 秒 (日本時間)
5043e6240 / 7245Dmitry DomanovJuly 29, 2014 12:58:27 UTC 2014 年 7 月 29 日 (火) 21 時 58 分 27 秒 (日本時間)

6×10212+7

c210

name 名前Bob Backstrom
date 日付August 22, 2017 13:06:25 UTC 2017 年 8 月 22 日 (火) 22 時 6 分 25 秒 (日本時間)
composite number 合成数
594648166501486620416253716551040634291377601585728444003964321110009910802775024777006937561942517343904856293359762140733399405351833498513379583746283448959365708622398414271555996035678889990089197224975223<210>
prime factors 素因数
812910769980379485527556805056653816857468935193<48>
923330060391395106505455028152903016611472017509<48>
792246322329103629918165113152644125975451873624978684434629022673568292359875075872501712351503519665955525876579<114>
factorization results 素因数分解の結果
Number: n
N=594648166501486620416253716551040634291377601585728444003964321110009910802775024777006937561942517343904856293359762140733399405351833498513379583746283448959365708622398414271555996035678889990089197224975223
  ( 210 digits)
SNFS difficulty: 212 digits.
Divisors found:

Tue Aug 22 22:56:20 2017  prp48 factor: 812910769980379485527556805056653816857468935193
Tue Aug 22 22:56:20 2017  prp48 factor: 923330060391395106505455028152903016611472017509
Tue Aug 22 22:56:20 2017  prp114 factor: 792246322329103629918165113152644125975451873624978684434629022673568292359875075872501712351503519665955525876579
Tue Aug 22 22:56:20 2017  elapsed time 18:25:21 (Msieve 1.44 - dependency 3)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=3.825).
Factorization parameters were as follows:
#
# 6x10^212+7 60(211)7
#
n: 594648166501486620416253716551040634291377601585728444003964321110009910802775024777006937561942517343904856293359762140733399405351833498513379583746283448959365708622398414271555996035678889990089197224975223
m: 100000000000000000000000000000000000
deg: 6
c6: 600
c0: 7
skew: 0.48
# Murphy_E = 3.561e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 46100000)
Primes: RFBsize:1565927, AFBsize:1565172,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12257017 hash collisions in 63556867 relations (53095684 unique)
Msieve: matrix is 3786726 x 3786951 (1076.5 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 17hrs 46min 9sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 22min 52sec.

Prototype def-par.txt line would be:
snfs,212,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:03 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 3 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:53:51 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 51 秒 (日本時間)
4511e640501000Dmitry DomanovDecember 26, 2012 14:53:51 UTC 2012 年 12 月 26 日 (水) 23 時 53 分 51 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:16 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 16 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:30 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 30 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:10 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 10 秒 (日本時間)

6×10213+7

c192

name 名前Dmitry Domanov
date 日付December 24, 2012 06:08:12 UTC 2012 年 12 月 24 日 (月) 15 時 8 分 12 秒 (日本時間)
composite number 合成数
531587569390673178655767336346571326710554699138988575757759845756232298008738861415372172484179671766841943263098444979949354942802629834486745432921722558930325348368596542893830711649713091<192>
prime factors 素因数
51904770484189620272332488299040351849739<41>
10241593680731073914768693592931524253818351593487071070786676884899904514228176170513082814256766909591335312479063399953860159681764172622183489244969<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1221369521
Step 1 took 124511ms
Step 2 took 40257ms
********** Factor found in step 2: 51904770484189620272332488299040351849739
Found probable prime factor of 41 digits: 51904770484189620272332488299040351849739

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:12 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 12 秒 (日本時間)

6×10214+7

c199

name 名前Dmitry Domanov
date 日付December 17, 2012 08:28:03 UTC 2012 年 12 月 17 日 (月) 17 時 28 分 3 秒 (日本時間)
composite number 合成数
3424809518130967916517245520702737897042199797931147453789615205177521216558034873614216065921316073325038001194396559452721689108513756050920412633928041890442649469772326548939067184782470634135273<199>
prime factors 素因数
224169297701133267488782110609739503721459<42>
15277781361018441124375624146465387618855785337429955487895956210453400296039352104145108682713334481495020520140186223409811186730746406204198344443428871347<158>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3648055923
Step 1 took 26726ms
Step 2 took 9942ms
********** Factor found in step 2: 224169297701133267488782110609739503721459
Found probable prime factor of 42 digits: 224169297701133267488782110609739503721459

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:18 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 18 秒 (日本時間)

6×10215+7

c215

name 名前Dmitry Domanov
date 日付December 17, 2012 08:27:31 UTC 2012 年 12 月 17 日 (月) 17 時 27 分 31 秒 (日本時間)
composite number 合成数
31578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421053<215>
prime factors 素因数
53879304247301227942991396484650214719<38>
composite cofactor 合成数の残り
586105329487487161032960042648692907094274529788277892344806774310822702739658960881828060078278700368010611814998198163032257498205100984287431124391794195381469811666140899587<177>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4142575193
Step 1 took 30549ms
Step 2 took 11084ms
********** Factor found in step 2: 53879304247301227942991396484650214719
Found probable prime factor of 38 digits: 53879304247301227942991396484650214719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:27 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 27 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:54:03 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 3 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:54:03 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 3 秒 (日本時間)

6×10216+7

c174

composite cofactor 合成数の残り
220321821558736420856749007855627485303809124653270346786657795135423060122799232531439371307606868714438408157968720999981856721520402980110695590574459371654524012646492589<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:34 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 34 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:54:12 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 12 秒 (日本時間)
4511e62000 / 39731000Dmitry DomanovDecember 26, 2012 14:54:12 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 12 秒 (日本時間)
1000Dmitry DomanovJuly 29, 2014 12:58:03 UTC 2014 年 7 月 29 日 (火) 21 時 58 分 3 秒 (日本時間)

6×10217+7

c192

name 名前Dmitry Domanov
date 日付December 18, 2012 05:50:28 UTC 2012 年 12 月 18 日 (火) 14 時 50 分 28 秒 (日本時間)
composite number 合成数
225631194285077610765857434067521912351075734663570690029226833894296246925594403415684351385058726341764960661056599904028066500302265053676138586050196632920738316024517663665877456719631557<192>
prime factors 素因数
2080555677815757325673232186049060900769894783<46>
composite cofactor 合成数の残り
108447563644128672011378903506212528713421976562511943359421990696186598987367287454258333394141221758207005108541290009766539181718923918965633979<147>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3689526990
Step 1 took 23490ms
********** Factor found in step 1: 2080555677815757325673232186049060900769894783
Found probable prime factor of 46 digits: 2080555677815757325673232186049060900769894783

c147

name 名前Serge Batalov
date 日付May 24, 2014 19:55:08 UTC 2014 年 5 月 25 日 (日) 4 時 55 分 8 秒 (日本時間)
composite number 合成数
108447563644128672011378903506212528713421976562511943359421990696186598987367287454258333394141221758207005108541290009766539181718923918965633979<147>
prime factors 素因数
342792070439650239645435328155049233326617<42>
316365438398381068745252650884577558014522141824337962356536063347602221926027411674247137627083692639987<105>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3420057232
Step 1 took 35165ms
Step 2 took 20426ms
********** Factor found in step 2: 342792070439650239645435328155049233326617
Found probable prime factor of 42 digits: 342792070439650239645435328155049233326617
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:50 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 50 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:54:22 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 22 秒 (日本時間)
4511e640501000Dmitry DomanovDecember 26, 2012 14:54:22 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 22 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:23 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 23 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:30 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 30 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:36:09 UTC 2014 年 5 月 25 日 (日) 2 時 36 分 9 秒 (日本時間)

6×10218+7

c204

name 名前Dmitry Domanov
date 日付December 17, 2012 08:22:40 UTC 2012 年 12 月 17 日 (月) 17 時 22 分 40 秒 (日本時間)
composite number 合成数
249323154438186866273072306389116589022532299898878777774267835481184671066755565053293051884490678175817133386664469327932341193946163646607201780574475810685291596448066127962438278806175002515635341087<204>
prime factors 素因数
2285654708031821875564673827106522501<37>
109081723307576553355581662332104290160624223603391316943975293045679941850440963532281074175630545942353405781698062711841674258515131161642654163568758333521614133587<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=466709234
Step 1 took 26791ms
Step 2 took 10281ms
********** Factor found in step 2: 2285654708031821875564673827106522501
Found probable prime factor of 37 digits: 2285654708031821875564673827106522501

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:34:56 UTC 2012 年 12 月 11 日 (火) 17 時 34 分 56 秒 (日本時間)

6×10219+7

c200

composite cofactor 合成数の残り
16101950818533836072328102667897378264487948623875621733905720244323462457462183972671534833034594003148018104879603534264281801869817203409134944197485961203577669000786082745649418906919258837854871<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:03 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 3 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:54:33 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 33 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:54:33 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 33 秒 (日本時間)

6×10220+7

c165

composite cofactor 合成数の残り
764760952859361435362009702598670653527978582498561913037110736580847511369419691114196148279834242349977288052975426537116098177714796363740011992223736803543018859<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:09 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 9 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:54:45 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 45 秒 (日本時間)
4511e62000 / 39731000Dmitry DomanovDecember 26, 2012 14:54:45 UTC 2012 年 12 月 26 日 (水) 23 時 54 分 45 秒 (日本時間)
1000Dmitry DomanovJuly 29, 2014 12:57:46 UTC 2014 年 7 月 29 日 (火) 21 時 57 分 46 秒 (日本時間)

6×10221+7

c187

name 名前Dmitry Domanov
date 日付December 18, 2012 05:51:01 UTC 2012 年 12 月 18 日 (火) 14 時 51 分 1 秒 (日本時間)
composite number 合成数
1250028284752644899339129551662342150947768862301195669517420657861859096567490008831192291199565284420518495956509634692344577869989220459237086319759997316977813511342861395190936326013<187>
prime factors 素因数
375116415835009255623456737926845795641<39>
3332374249658153609922134497692955234002645660681724231430899736828849475976800292098305465412620107193385609553522073412170243189476382349846075493<148>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3498679683
Step 1 took 22913ms
Step 2 took 9217ms
********** Factor found in step 2: 375116415835009255623456737926845795641
Found probable prime factor of 39 digits: 375116415835009255623456737926845795641

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:17 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 17 秒 (日本時間)

6×10222+7

c214

name 名前Dmitry Domanov
date 日付December 24, 2012 06:29:17 UTC 2012 年 12 月 24 日 (月) 15 時 29 分 17 秒 (日本時間)
composite number 合成数
3746699244607920453638504967514047497916683790903526657658656681819752565071949679621090160806039847533994025487157653497789184864509267327261489570610238700067010902444573449821468313537228452281947563216843360389<214>
prime factors 素因数
942976676784146003462724794884297876990967<42>
3973268201484442731602569159720445953338533020612029737863434049689424934041575421076917983616097947067723234492112226308749244586463090824989210444521083942862447846176867<172>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=665896651
Step 1 took 112289ms
Step 2 took 36339ms
********** Factor found in step 2: 942976676784146003462724794884297876990967
Found probable prime factor of 42 digits: 942976676784146003462724794884297876990967

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:25 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 25 秒 (日本時間)

6×10223+7

c203

composite cofactor 合成数の残り
38464260264253923643670869589199394140521765060733606894279283735658887122855363700938176845553595599878352574466171461005243691038322373122800987512323274778582815291473814619287695405157606744174185661<203>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:40 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 40 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:01 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 1 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:55:01 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 1 秒 (日本時間)

6×10225+7

c174

name 名前Dmitry Domanov
date 日付December 24, 2012 06:06:35 UTC 2012 年 12 月 24 日 (月) 15 時 6 分 35 秒 (日本時間)
composite number 合成数
104992377327511212806779498199485774871395074197407364728508820732933872610175164776716252242051208483166509683211785338758612800188302216257041620425291158238525587660877433<174>
prime factors 素因数
5683600212987119341680989055787745998973234519<46>
composite cofactor 合成数の残り
18472864626826129557014109638728440215882063970370488773327090750559409691927863621299621342957394710149001006272450592749228207<128>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2988265646
Step 1 took 106609ms
Step 2 took 35116ms
********** Factor found in step 2: 5683600212987119341680989055787745998973234519
Found probable prime factor of 46 digits: 5683600212987119341680989055787745998973234519

c128

name 名前Warut Roonguthai
date 日付December 27, 2012 02:57:59 UTC 2012 年 12 月 27 日 (木) 11 時 57 分 59 秒 (日本時間)
composite number 合成数
18472864626826129557014109638728440215882063970370488773327090750559409691927863621299621342957394710149001006272450592749228207<128>
prime factors 素因数
70649083574242079453813694204868657366881701561<47>
261473520847779881633776951390716820638872355640408542326525475199661879751288487<81>
factorization results 素因数分解の結果
N = 18472864626826129557014109638728440215882063970370488773327090750559409691927863621299621342957394710149001006272450592749228207 (128 digits)
Divisors found:
r1=70649083574242079453813694204868657366881701561 (pp47)
r2=261473520847779881633776951390716820638872355640408542326525475199661879751288487 (pp81)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 22.87 hours.
Factorization parameters were as follows:
n: 18472864626826129557014109638728440215882063970370488773327090750559409691927863621299621342957394710149001006272450592749228207
Y0: -4759972186143193540813866
Y1: 60234747110113
c0: -78745477974725490015658638378175
c1: 1255863885665769613374640397
c2: 5346670546197162103693
c3: -5420536062060509
c4: -13237229670
c5: 7560
skew: 611760.88 
type: gnfs
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19745637
Relations: 2300682 relations
Pruned matrix : 1289341 x 1289570
Polynomial selection time: 0.00 hours.
Total sieving time: 21.44 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 1.25 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,127,5,65,2000,1e-05,0.28,250,20,50000,3600,6400000,6400000,28,28,55,55,2.5,2.5,100000
total time: 22.87 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:48 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 48 秒 (日本時間)

6×10226+7

c201

composite cofactor 合成数の残り
273172392424641515957960373986378714574857880328803048050509417047622836601576302364142575654341769734802018103146044966481169988779435072384118535058188430132985157327702899031322624170050162913381589<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:35:54 UTC 2012 年 12 月 11 日 (火) 17 時 35 分 54 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:11 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 11 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:55:11 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 11 秒 (日本時間)

6×10227+7

c210

composite cofactor 合成数の残り
123718901509345315538494815118176601918926256776784979024066145841671332768809477243343142272102492442735465192471737473684042767434237037233060562088233734943007304707999950622185778346700545882796273321340019<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:00 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 0 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:22 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 22 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:55:22 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 22 秒 (日本時間)

6×10228+7

c222

composite cofactor 合成数の残り
100937373423482295980039567113924093648416522243510101198296533781997715147969394913587430497678953509574809894130321824179241626895799439054005515453604397060777706648706094744966501325080603960119711051964427179817020393<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:17 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 17 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:35 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 35 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:55:35 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 35 秒 (日本時間)

6×10229+7

c207

name 名前Warut Roonguthai
date 日付December 10, 2012 07:28:19 UTC 2012 年 12 月 10 日 (月) 16 時 28 分 19 秒 (日本時間)
composite number 合成数
582679621369646179582400067884828556839952473774397217478389428194317805802824187246825042925318678723782462885411262625153468110599886448933697402781882447903019554248230893136648245618636641940800084598811<207>
prime factors 素因数
147575069823312951194913072674807<33>
composite cofactor 合成数の残り
3948360804214901593452136975974233553819947352293596346074851620352121459370471774262583685168456135087866656420734519922209718541992943546964380382789806954681471750398539773<175>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3970481557
Step 1 took 11981ms
Step 2 took 7192ms
********** Factor found in step 2: 147575069823312951194913072674807
Found probable prime factor of 33 digits: 147575069823312951194913072674807
Composite cofactor 3948360804214901593452136975974233553819947352293596346074851620352121459370471774262583685168456135087866656420734519922209718541992943546964380382789806954681471750398539773 has 175 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:23 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 23 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:44 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 44 秒 (日本時間)
4511e62000 / 39731000Dmitry DomanovDecember 26, 2012 14:55:44 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 44 秒 (日本時間)
1000Dmitry DomanovJuly 29, 2014 12:57:27 UTC 2014 年 7 月 29 日 (火) 21 時 57 分 27 秒 (日本時間)

6×10230+7

c198

name 名前Dmitry Domanov
date 日付December 17, 2012 08:23:13 UTC 2012 年 12 月 17 日 (月) 17 時 23 分 13 秒 (日本時間)
composite number 合成数
866691377834694689500199653373597619649009489109175233293237460515734042360229113476020490344059764320421978774571938511306965624693877015695076832305182625860418952077419843351618307949187025167059<198>
prime factors 素因数
1865701200420373357866856161420189969161749<43>
464539218626977770237341002646316320492937115259604427056703551010381726477905968601925868204461149608321560607614122402647032748872460110910855607989477191<156>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2109823584
Step 1 took 26612ms
Step 2 took 9958ms
********** Factor found in step 2: 1865701200420373357866856161420189969161749
Found probable prime factor of 43 digits: 1865701200420373357866856161420189969161749

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:29 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 29 秒 (日本時間)

6×10231+7

c151

composite cofactor 合成数の残り
3223221573736952413290574710123543918778120489607199054796978108482073392537285116645957174096115495081864311517025095557122038115511669868781649847433<151>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:35 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 35 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:55:56 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 56 秒 (日本時間)
4511e631501000Dmitry DomanovDecember 26, 2012 14:55:56 UTC 2012 年 12 月 26 日 (水) 23 時 55 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:12 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 12 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:12 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 12 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:14 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 14 秒 (日本時間)
5043e6240 / 6762Dmitry DomanovJuly 29, 2014 12:57:07 UTC 2014 年 7 月 29 日 (火) 21 時 57 分 7 秒 (日本時間)

6×10232+7

c148

composite cofactor 合成数の残り
1081070499706837295606107277227725125598481142498198156835632894422084507331509898145075612158251521538176590369094178875061662750575236581800920849<148>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:36:52 UTC 2012 年 12 月 11 日 (火) 17 時 36 分 52 秒 (日本時間)
403e62000Warut RoonguthaiDecember 11, 2012 15:44:36 UTC 2012 年 12 月 12 日 (水) 0 時 44 分 36 秒 (日本時間)
4511e631501000Dmitry DomanovDecember 26, 2012 14:56:07 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 7 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:10:37 UTC 2013 年 11 月 9 日 (土) 2 時 10 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:44 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 44 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:01:47 UTC 2014 年 5 月 25 日 (日) 4 時 1 分 47 秒 (日本時間)
5043e6240 / 6762Dmitry DomanovJuly 29, 2014 12:56:54 UTC 2014 年 7 月 29 日 (火) 21 時 56 分 54 秒 (日本時間)

6×10233+7

c224

composite cofactor 合成数の残り
11731138853172308614507737956233398617630052317471193792668978846853211795706095108301511889093642320312107460666303269001633960862964461998227270576602152598007542588007422624794953142108445755254718414708784598912283522611<224>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:12 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 12 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:56:24 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 24 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:56:24 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 24 秒 (日本時間)

6×10234+7

c221

composite cofactor 合成数の残り
15130137354605026034829298757288630705729207718238286699890369222151761156809392315732667201906973412849268951752427500189078762485467988318772660041543239529491766327250727754675061122856006719212636584038442920895464241<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:18 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 18 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:56:34 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 34 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:56:34 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 34 秒 (日本時間)

6×10235+7

c232

composite cofactor 合成数の残り
2735105073619911564935952956192733737521083101609153484979714637370652322560058348908237224780051966996398778319733783106167661941012900578930573916214614578110042394128641108629256507270820987372931576788074941879017185576879245111<232>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:25 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 25 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:56:43 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 43 秒 (日本時間)
4511e630501000Dmitry DomanovDecember 26, 2012 14:56:43 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 43 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:16:40 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 40 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:22 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 22 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:14 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 14 秒 (日本時間)
5043e63000 / 6785Serge BatalovMay 12, 2014 06:22:57 UTC 2014 年 5 月 12 日 (月) 15 時 22 分 57 秒 (日本時間)

6×10237+7

c207

name 名前Dmitry Domanov
date 日付December 24, 2012 06:07:08 UTC 2012 年 12 月 24 日 (月) 15 時 7 分 8 秒 (日本時間)
composite number 合成数
224739114126932517510937882037369596451557341233547957465948134896507854011284876211054190939225052016755987348110450082060771941931970542477400182198388968721804425522478662483721803836891950823237461747911<207>
prime factors 素因数
9684185266325924390407368599881554865321<40>
23206816881994257570968125792371979284640138757909679074415378178154615623623334043289634787824010717546507198795459779354388018881883333285610769497310990066116599791<167>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2403327309
Step 1 took 144803ms
Step 2 took 44804ms
********** Factor found in step 2: 9684185266325924390407368599881554865321
Found probable prime factor of 40 digits: 9684185266325924390407368599881554865321

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:31 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 31 秒 (日本時間)

6×10238+7

c238

name 名前Warut Roonguthai
date 日付December 10, 2012 00:55:56 UTC 2012 年 12 月 10 日 (月) 9 時 55 分 56 秒 (日本時間)
composite number 合成数
1395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395348837209302325581395349<238>
prime factors 素因数
45291822075849689770643670371<29>
composite cofactor 合成数の残り
30807964291490145651610124590377676503276251059175110151017500622967766212000573106504424451017313126414726888483391045387408959810539266935031512843091539643269343175449095519243724418708088090736758121457319<209>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2485191783
Step 1 took 13089ms
Step 2 took 6879ms
********** Factor found in step 2: 45291822075849689770643670371
Found probable prime factor of 29 digits: 45291822075849689770643670371
Composite cofactor 30807964291490145651610124590377676503276251059175110151017500622967766212000573106504424451017313126414726888483391045387408959810539266935031512843091539643269343175449095519243724418708088090736758121457319 has 209 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:46 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 46 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 14:56:54 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 54 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 14:56:54 UTC 2012 年 12 月 26 日 (水) 23 時 56 分 54 秒 (日本時間)

6×10239+7

c226

composite cofactor 合成数の残り
5150768370293711851877955924656298813006501441194955169700434573058576864205097526704217182148811288311174482639101357070433866161813308445101545464716689876937095641495337565362743870016859724648066402723579740533327242693973<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:52 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 52 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:26:44 UTC 2012 年 12 月 27 日 (木) 0 時 26 分 44 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 15:26:44 UTC 2012 年 12 月 27 日 (木) 0 時 26 分 44 秒 (日本時間)

6×10240+7

c165

composite cofactor 合成数の残り
105157973141016190495457124533964308040713855847035782049631536875164756657777525188710805635909819693293298430613365752044587545752060794831559398359644894514147351<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:37:59 UTC 2012 年 12 月 11 日 (火) 17 時 37 分 59 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:26:54 UTC 2012 年 12 月 27 日 (木) 0 時 26 分 54 秒 (日本時間)
4511e622501000Dmitry DomanovDecember 26, 2012 15:26:54 UTC 2012 年 12 月 27 日 (木) 0 時 26 分 54 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:13:15 UTC 2013 年 11 月 9 日 (土) 2 時 13 分 15 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:26:53 UTC 2014 年 1 月 6 日 (月) 11 時 26 分 53 秒 (日本時間)
5043e6500 / 6964Dmitry DomanovMay 22, 2013 09:08:29 UTC 2013 年 5 月 22 日 (水) 18 時 8 分 29 秒 (日本時間)

6×10241+7

c238

composite cofactor 合成数の残り
1369644120802611454790330312507133563129180267993699637044307987307964480562467185609605770767228981669596183258383363389412650946195813454470746684319857557011436528408701805647499258109434565252128655237747391969319971694021503412696601<238>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:38:06 UTC 2012 年 12 月 11 日 (火) 17 時 38 分 6 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:27:04 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 4 秒 (日本時間)
4511e61000Dmitry DomanovDecember 26, 2012 15:27:04 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 4 秒 (日本時間)
5043e6848 / 7245Dmitry DomanovJanuary 28, 2013 09:08:35 UTC 2013 年 1 月 28 日 (月) 18 時 8 分 35 秒 (日本時間)

6×10242+7

c212

composite cofactor 合成数の残り
14460340472884442593657334399011628318860565464168508824557934914872192322180731453012528335189895435392980707834904741164209342082499484995593428392741293246808600827078601601416955047330864571543664553204837419<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:38:15 UTC 2012 年 12 月 11 日 (火) 17 時 38 分 15 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:27:15 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 15 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 15:27:15 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 15 秒 (日本時間)

6×10243+7

c216

name 名前Warut Roonguthai
date 日付December 9, 2012 20:40:21 UTC 2012 年 12 月 10 日 (月) 5 時 40 分 21 秒 (日本時間)
composite number 合成数
519519623579469390798514818330216357365560248488163947643376570445558548324499096069226687729258505972341407797765102710675785092494297520931800551865195965338195642681622986938177410684283579512202632627468802062563<216>
prime factors 素因数
3288629079745983309291837019<28>
composite cofactor 合成数の残り
157974527069376141799751055612107634140164012122749436961578280143307830695572920678769434003707190317094216598930480471019534670784645346949323226022459397237938015223048737284104783805977<189>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2908901572
Step 1 took 11512ms
Step 2 took 6334ms
********** Factor found in step 2: 3288629079745983309291837019
Found probable prime factor of 28 digits: 3288629079745983309291837019
Composite cofactor 157974527069376141799751055612107634140164012122749436961578280143307830695572920678769434003707190317094216598930480471019534670784645346949323226022459397237938015223048737284104783805977 has 189 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
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:39:03 UTC 2012 年 12 月 11 日 (火) 17 時 39 分 3 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:27:24 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 24 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 15:27:24 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 24 秒 (日本時間)

6×10244+7

c202

name 名前Warut Roonguthai
date 日付December 9, 2012 20:31:17 UTC 2012 年 12 月 10 日 (月) 5 時 31 分 17 秒 (日本時間)
composite number 合成数
2572415123954275051954030481279585739319553098496849383913965191762015240221607762430435087318583988337776089480708236417762665919638054318005048341815246967790613808167589252280325920298043135737154609<202>
prime factors 素因数
4719974795083528808794541428174837<34>
composite cofactor 合成数の残り
545006114573701095456368398677097968970488303347866436196966228715437527131776247939464438479802702524331243022605912928077714720415385862369381391649930545787473719757<168>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3720176197
Step 1 took 9891ms
Step 2 took 5741ms
********** Factor found in step 2: 4719974795083528808794541428174837
Found probable prime factor of 34 digits: 4719974795083528808794541428174837
Composite cofactor 545006114573701095456368398677097968970488303347866436196966228715437527131776247939464438479802702524331243022605912928077714720415385862369381391649930545787473719757 has 168 digits
software ソフトウェア
GMP-ECM 6.3

c168

name 名前Warut Roonguthai
date 日付December 14, 2012 14:10:15 UTC 2012 年 12 月 14 日 (金) 23 時 10 分 15 秒 (日本時間)
composite number 合成数
545006114573701095456368398677097968970488303347866436196966228715437527131776247939464438479802702524331243022605912928077714720415385862369381391649930545787473719757<168>
prime factors 素因数
76234499023890294227137520047040645453<38>
340374848535868432207454029539906306119301643<45>
21003533461711938728889780983716228008632490062918488191191211829675399647481127432483<86>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1228133576
Step 1 took 6068ms
Step 2 took 4790ms
********** Factor found in step 2: 76234499023890294227137520047040645453
Found probable prime factor of 38 digits: 76234499023890294227137520047040645453
Composite cofactor 7149074520748245511575548704624340713614424216968209676950829373802626882194691800325737248384746565173572875420280251985593469569 has 130 digits

N = 7149074520748245511575548704624340713614424216968209676950829373802626882194691800325737248384746565173572875420280251985593469569 (130 digits)
Divisors found:
r1=340374848535868432207454029539906306119301643 (pp45)
r2=21003533461711938728889780983716228008632490062918488191191211829675399647481127432483 (pp86)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 26.33 hours.
Factorization parameters were as follows:
n: 7149074520748245511575548704624340713614424216968209676950829373802626882194691800325737248384746565173572875420280251985593469569
Y0: -19343315942830412880779612
Y1: 88056193274693
c0: -2527811686296731275216561196507
c1: 467343530529704513149861582
c2: 1138170692807897698805
c3: -3428328651452996
c4: -11657008564
c5: 2640
skew: 494147.52 
type: gnfs
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 20079955
Relations: 2566414 relations
Pruned matrix : 1457744 x 1457976
Polynomial selection time: 0.00 hours.
Total sieving time: 24.46 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.61 hours.
time per square root: 0.18 hours.
Prototype def-par.txt line would be: gnfs,129,5,65,2000,1e-05,0.28,250,20,50000,3600,7200000,7200000,28,28,55,55,2.5,2.5,100000
total time: 26.33 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.19GHz
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--
351e6118 / 904Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)

6×10245+7

c155

name 名前Serge Batalov
date 日付November 8, 2013 04:21:52 UTC 2013 年 11 月 8 日 (金) 13 時 21 分 52 秒 (日本時間)
composite number 合成数
55799374579574382362700813468721595079671198032529805709799292702674547039058899106197133518807243194216921302443165655654256370067225010488801001270406913<155>
prime factors 素因数
29357964319838457075067688663418022569899<41>
1900655439582652228037706909460983682585984497283496962475640489748865941467749735530004862959711794549038569744387<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2165118376
Step 1 took 42180ms
Step 2 took 15149ms
********** Factor found in step 2: 29357964319838457075067688663418022569899
Found probable prime factor of 41 digits: 29357964319838457075067688663418022569899
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:39:10 UTC 2012 年 12 月 11 日 (火) 17 時 39 分 10 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:27:36 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 36 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 15:27:36 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 36 秒 (日本時間)

6×10246+7

c219

composite cofactor 合成数の残り
432615933243707421788028654742702459343224668475982802021470847935293058451800436309426393158342058441537998703795820967010657047043591688192317763905497542984876930339336245842782239949998008244807373091425218904957273<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:39:22 UTC 2012 年 12 月 11 日 (火) 17 時 39 分 22 秒 (日本時間)
403e62000Dmitry DomanovDecember 26, 2012 15:27:46 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 46 秒 (日本時間)
4511e61000 / 3973Dmitry DomanovDecember 26, 2012 15:27:46 UTC 2012 年 12 月 27 日 (木) 0 時 27 分 46 秒 (日本時間)

6×10247+7

c248

name 名前Dmitry Domanov
date 日付December 24, 2012 06:30:27 UTC 2012 年 12 月 24 日 (月) 15 時 30 分 27 秒 (日本時間)
composite number 合成数
60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007<248>
prime factors 素因数
3200140947573088733151261557163182480217373<43>
18749174171688463297649465943132331247227466606298693493960428128728935432564985867686251170508873631143866698284356656017362433279181789782476169161740721632679624615760072999833773083738171460831355475059<206>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4266583001
Step 1 took 128742ms
Step 2 took 41085ms
********** Factor found in step 2: 3200140947573088733151261557163182480217373
Found probable prime factor of 43 digits: 3200140947573088733151261557163182480217373

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:39:31 UTC 2012 年 12 月 11 日 (火) 17 時 39 分 31 秒 (日本時間)

6×10248+7

c232

name 名前Dmitry Domanov
date 日付December 19, 2012 09:37:57 UTC 2012 年 12 月 19 日 (水) 18 時 37 分 57 秒 (日本時間)
composite number 合成数
9712267930707236398397629343545846765396328949628843241035093163788860141220552303626698542707746610170340887977656534658524428405430132153311716044523524028468341707964948222231563991026253536431067386707145394736673179993989216381<232>
prime factors 素因数
103474902035664010282518276851560011719<39>
93861098098549281357932681004195038364907003710031086915141086416017577137089440201659853623553116041545049930326480957506908437229223447652504481412723759800041552762094985793209777681201599899<194>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4078096456
Step 1 took 35902ms
Step 2 took 12332ms
********** Factor found in step 2: 103474902035664010282518276851560011719
Found probable prime factor of 39 digits: 103474902035664010282518276851560011719

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaDecember 9, 2012 13:00:00 UTC 2012 年 12 月 9 日 (日) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiDecember 11, 2012 08:39:40 UTC 2012 年 12 月 11 日 (火) 17 時 39 分 40 秒 (日本時間)