Table of contents 目次

4×10102+113

c94

name 名前Robert Backstrom
date 日付February 18, 2008 18:49:01 UTC 2008 年 2 月 19 日 (火) 3 時 49 分 1 秒 (日本時間)
composite number 合成数
4339333789047998192259579485338241093812743885000789764173773971980988983790805916551875286653<94>
prime factors 素因数
1646560534466985058328605054610083645298993<43>
2635392807135816561786044834867478808294813224484621<52>
factorization results 素因数分解の結果
Number: n
N=4339333789047998192259579485338241093812743885000789764173773971980988983790805916551875286653
  ( 94 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=1646560534466985058328605054610083645298993 (pp43)
 r2=2635392807135816561786044834867478808294813224484621 (pp52)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.43 hours.
Scaled time: 0.79 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_101_7
n: 4339333789047998192259579485338241093812743885000789764173773971980988983790805916551875286653
skew: 1.00
deg: 5
c5: 25
c0: 22
m: 200000000000000000000
type: snfs
rlim: 500000
alim: 500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
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, 140001)
Primes: RFBsize:41538, AFBsize:41568, largePrimes:3448580 encountered
Relations: rels:2920109, finalFF:148659
Max relations in full relation-set: 48
Initial matrix: 83170 x 148659 with sparse part having weight 9271658.
Pruned matrix : 58314 x 58793 with weight 1969435.
Total sieving time: 0.38 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.01 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,102,5,0,0,0,0,0,0,0,0,500000,500000,28,28,48,48,2.5,2.5,20000
total time: 0.43 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10113+113

c110

name 名前Sinkiti Sibata
date 日付February 19, 2008 13:42:24 UTC 2008 年 2 月 19 日 (火) 22 時 42 分 24 秒 (日本時間)
composite number 合成数
19756013236528868474341877809058132068948486195485750975453153553612880920630216822245270904331505902108954413<110>
prime factors 素因数
304155774352865478339206504203892550259<39>
64953602405091887197954344906663271278940558317913767517079385452861407<71>
factorization results 素因数分解の結果
Number: 13337_113
N=19756013236528868474341877809058132068948486195485750975453153553612880920630216822245270904331505902108954413
  ( 110 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=304155774352865478339206504203892550259 (pp39)
 r2=64953602405091887197954344906663271278940558317913767517079385452861407 (pp71)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 1.86 hours.
Scaled time: 1.26 units (timescale=0.675).
Factorization parameters were as follows:
name: 13337_113
n: 19756013236528868474341877809058132068948486195485750975453153553612880920630216822245270904331505902108954413
m: 20000000000000000000000
c5: 125
c0: 11
skew: 0.62
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:64204, largePrimes:2116619 encountered
Relations: rels:2254082, finalFF:285131
Max relations in full relation-set: 28
Initial matrix: 113367 x 285131 with sparse part having weight 22834055.
Pruned matrix : 74586 x 75216 with weight 4095384.
Total sieving time: 1.68 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.86 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10115+113

c100

name 名前Robert Backstrom
date 日付February 18, 2008 19:13:31 UTC 2008 年 2 月 19 日 (火) 4 時 13 分 31 秒 (日本時間)
composite number 合成数
1561661174282181750855560882405506568818194843939868509965372037918767188901167683328566806456243177<100>
prime factors 素因数
1805025368704280366962983811597818948051327631<46>
865174086391486453505012758489951524756223702524904967<54>
factorization results 素因数分解の結果
Number: n
N=1561661174282181750855560882405506568818194843939868509965372037918767188901167683328566806456243177
  ( 100 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=1805025368704280366962983811597818948051327631 (pp46)
 r2=865174086391486453505012758489951524756223702524904967 (pp54)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 0.77 hours.
Scaled time: 1.42 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_114_7
n: 1561661174282181750855560882405506568818194843939868509965372037918767188901167683328566806456243177
skew: 1.00
deg: 5
c5: 4
c0: 11
m: 100000000000000000000000
type: snfs
rlim: 800000
alim: 800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 160001)
Primes: RFBsize:63951, AFBsize:63629, largePrimes:4202404 encountered
Relations: rels:3652012, finalFF:223982
Max relations in full relation-set: 48
Initial matrix: 127644 x 223982 with sparse part having weight 12430380.
Pruned matrix : 80889 x 81591 with weight 2898267.
Total sieving time: 0.70 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.02 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,115,5,0,0,0,0,0,0,0,0,800000,800000,28,28,48,48,2.5,2.5,50000
total time: 0.77 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10116+113

c106

name 名前Robert Backstrom
date 日付February 19, 2008 01:39:19 UTC 2008 年 2 月 19 日 (火) 10 時 39 分 19 秒 (日本時間)
composite number 合成数
1107569611986417158768041979591517285793325939853011217254555976143175184005581365400345506192598619632491<106>
prime factors 素因数
28802954401798198620925160019003859<35>
38453333520441584543202578333588710413505012991763189928723152862992649<71>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 1107569611986417158768041979591517285793325939853011217254555976143175184005581365400345506192598619632491 (106 digits)
Using B1=1992000, B2=2241209729, polynomial Dickson(6), sigma=3264217901
Step 1 took 12862ms
********** Factor found in step 1: 28802954401798198620925160019003859
Found probable prime factor of 35 digits: 28802954401798198620925160019003859
Probable prime cofactor 38453333520441584543202578333588710413505012991763189928723152862992649 has 71 digits

4×10122+113

c101

name 名前Robert Backstrom
date 日付February 18, 2008 20:05:30 UTC 2008 年 2 月 19 日 (火) 5 時 5 分 30 秒 (日本時間)
composite number 合成数
41302567789109761233108400139080136267179069010376877580571511870468304588859444443019836398251716291<101>
prime factors 素因数
5272921641050465131362660361244101<34>
7832956869217103170630125848353003163038606291478854203546482793191<67>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 41302567789109761233108400139080136267179069010376877580571511870468304588859444443019836398251716291 (101 digits)
Using B1=996000, B2=834768989, polynomial Dickson(3), sigma=3603601319
Step 1 took 6471ms
Step 2 took 3805ms
********** Factor found in step 2: 5272921641050465131362660361244101
Found probable prime factor of 34 digits: 5272921641050465131362660361244101
Probable prime cofactor 7832956869217103170630125848353003163038606291478854203546482793191 has 67 digits

4×10124+113

c102

name 名前Robert Backstrom
date 日付February 19, 2008 03:20:12 UTC 2008 年 2 月 19 日 (火) 12 時 20 分 12 秒 (日本時間)
composite number 合成数
167325680673638563081548947403636743907474465909076656035498500293151015645904444990307855678281455963<102>
prime factors 素因数
2203938796192403342392271268196078673989<40>
75921201152552818087132501075621030841933093815300464956718367<62>
factorization results 素因数分解の結果
Number: n
N=167325680673638563081548947403636743907474465909076656035498500293151015645904444990307855678281455963
  ( 102 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=2203938796192403342392271268196078673989 (pp40)
 r2=75921201152552818087132501075621030841933093815300464956718367 (pp62)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 1.44 hours.
Scaled time: 2.63 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_123_7
n: 167325680673638563081548947403636743907474465909076656035498500293151015645904444990307855678281455963
skew: 1.94
deg: 5
c5: 2
c0: 55
m: 10000000000000000000000000
type: snfs
rlim: 1500000
alim: 1500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
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, 240001)
Primes: RFBsize:114155, AFBsize:113953, largePrimes:4515312 encountered
Relations: rels:3995223, finalFF:291897
Max relations in full relation-set: 48
Initial matrix: 228173 x 291897 with sparse part having weight 12613705.
Pruned matrix : 166879 x 168083 with weight 5210343.
Total sieving time: 1.28 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.08 hours.
Total square root time: 0.01 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,1500000,1500000,28,28,48,48,2.5,2.5,50000
total time: 1.44 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10125+113

c106

name 名前Sinkiti Sibata
date 日付February 19, 2008 12:52:15 UTC 2008 年 2 月 19 日 (火) 21 時 52 分 15 秒 (日本時間)
composite number 合成数
3153283465566365633508056367141023771988625666319413811577363839922534166099217033045727316239036281308187<106>
prime factors 素因数
15803345655438486511972481152450794613<38>
199532651776252834039911251067175851500401630254970536186458226795599<69>
factorization results 素因数分解の結果
Number: 13337_125
N=3153283465566365633508056367141023771988625666319413811577363839922534166099217033045727316239036281308187
  ( 106 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=15803345655438486511972481152450794613 (pp38)
 r2=199532651776252834039911251067175851500401630254970536186458226795599 (pp69)
Version: GGNFS-0.77.1-20060513-k8
Total time: 1.95 hours.
Scaled time: 3.86 units (timescale=1.981).
Factorization parameters were as follows:
name: 13337_125
n: 3153283465566365633508056367141023771988625666319413811577363839922534166099217033045727316239036281308187
m: 10000000000000000000000000
c5: 4
c0: 11
skew: 1.22
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:63629, largePrimes:2080670 encountered
Relations: rels:2108833, finalFF:178021
Max relations in full relation-set: 28
Initial matrix: 112791 x 178021 with sparse part having weight 15251272.
Pruned matrix : 95760 x 96387 with weight 5778001.
Total sieving time: 1.82 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10127+113

c114

name 名前Sinkiti Sibata
date 日付February 19, 2008 22:51:42 UTC 2008 年 2 月 20 日 (水) 7 時 51 分 42 秒 (日本時間)
composite number 合成数
192842259547018009597079694636074182400710045315079783185799547260078047160967977004619128485484268956703784377639<114>
prime factors 素因数
227060322506798993332149127795092037<36>
913336927466122993434262778590061373449<39>
929886502764280214041355493551431541603<39>
factorization results 素因数分解の結果
Number: 13337_127
N=192842259547018009597079694636074182400710045315079783185799547260078047160967977004619128485484268956703784377639
  ( 114 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=227060322506798993332149127795092037 (pp36)
 r2=913336927466122993434262778590061373449 (pp39)
 r3=929886502764280214041355493551431541603 (pp39)
Version: GGNFS-0.77.1-20060513-k8
Total time: 3.12 hours.
Scaled time: 6.21 units (timescale=1.992).
Factorization parameters were as follows:
name: 13337_127
n: 192842259547018009597079694636074182400710045315079783185799547260078047160967977004619128485484268956703784377639
m: 20000000000000000000000000
c5: 25
c0: 22
skew: 0.97
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, 750001)
Primes: RFBsize:63951, AFBsize:63939, largePrimes:1400313 encountered
Relations: rels:1394145, finalFF:169686
Max relations in full relation-set: 28
Initial matrix: 127954 x 169686 with sparse part having weight 8194603.
Pruned matrix : 110799 x 111502 with weight 4097518.
Total sieving time: 3.00 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 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: 3.12 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10129+113

c128

name 名前Robert Backstrom
date 日付February 19, 2008 01:53:39 UTC 2008 年 2 月 19 日 (火) 10 時 53 分 39 秒 (日本時間)
composite number 合成数
11204481792717086834733893557422969187675070028011204481792717086834733893557422969187675070028011204481792717086834733893557423<128>
prime factors 素因数
1623689600151579293848901161081<31>
6900630386294950804431484242986375136955298070601334173121463514139852321236962540139980145351783<97>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 11204481792717086834733893557422969187675070028011204481792717086834733893557422969187675070028011204481792717086834733893557423 (128 digits)
Using B1=210000, B2=90850018, polynomial x^2, sigma=2967028784
Step 1 took 1899ms
Step 2 took 1154ms
********** Factor found in step 2: 1623689600151579293848901161081
Found probable prime factor of 31 digits: 1623689600151579293848901161081
Probable prime cofactor 6900630386294950804431484242986375136955298070601334173121463514139852321236962540139980145351783 has 97 digits

4×10130+113

c126

name 名前Robert Backstrom
date 日付February 19, 2008 04:49:14 UTC 2008 年 2 月 19 日 (火) 13 時 49 分 14 秒 (日本時間)
composite number 合成数
136498739092897629358148804100422122350644785918790075176680555413369369000453858307483884617615844773633903556815893913179977<126>
prime factors 素因数
586747933411274964170925848158487<33>
232636079856833912272452423645428068658508651978665240250136011794304923321522084851723290271<93>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 136498739092897629358148804100422122350644785918790075176680555413369369000453858307483884617615844773633903556815893913179977 (126 digits)
Using B1=1768000, B2=1890890115, polynomial Dickson(6), sigma=1467011323
Step 1 took 14864ms
Step 2 took 7896ms
********** Factor found in step 2: 586747933411274964170925848158487
Found probable prime factor of 33 digits: 586747933411274964170925848158487
Probable prime cofactor 232636079856833912272452423645428068658508651978665240250136011794304923321522084851723290271 has 93 digits

4×10131+113

c114

name 名前Sinkiti Sibata
date 日付February 19, 2008 15:24:16 UTC 2008 年 2 月 20 日 (水) 0 時 24 分 16 秒 (日本時間)
composite number 合成数
374229354037887632864664831865915772225602984855244535305283336279006481767188196074768411542491621513546121512907<114>
prime factors 素因数
1893443194224894718878463833501834090719818444796249<52>
197644880595999725041267819674714849507845501682832456060475843<63>
factorization results 素因数分解の結果
Number: 13337_131
N=374229354037887632864664831865915772225602984855244535305283336279006481767188196074768411542491621513546121512907
  ( 114 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=1893443194224894718878463833501834090719818444796249 (pp52)
 r2=197644880595999725041267819674714849507845501682832456060475843 (pp63)
Version: GGNFS-0.77.1-20060513-k8
Total time: 4.49 hours.
Scaled time: 8.92 units (timescale=1.988).
Factorization parameters were as follows:
name: 13337_131
n: 374229354037887632864664831865915772225602984855244535305283336279006481767188196074768411542491621513546121512907
m: 100000000000000000000000000
c5: 40
c0: 11
skew: 0.77
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:64254, largePrimes:1531023 encountered
Relations: rels:1559054, finalFF:197232
Max relations in full relation-set: 28
Initial matrix: 128271 x 197232 with sparse part having weight 14484832.
Pruned matrix : 109223 x 109928 with weight 6425650.
Total sieving time: 4.33 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 4.49 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10134+113

c127

name 名前Robert Backstrom
date 日付February 19, 2008 10:58:22 UTC 2008 年 2 月 19 日 (火) 19 時 58 分 22 秒 (日本時間)
composite number 合成数
2634805908570693611140417837664983888590025050351305588155240577244081153892696172448415588779096746245907133670468605961542149<127>
prime factors 素因数
3820162630866551606713037132751079542817<40>
689710403238257935905626272855854844006021482308071303691508206972486304337202234301797<87>
factorization results 素因数分解の結果
Number: n
N=2634805908570693611140417837664983888590025050351305588155240577244081153892696172448415588779096746245907133670468605961542149
  ( 127 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=3820162630866551606713037132751079542817 (pp40)
 r2=689710403238257935905626272855854844006021482308071303691508206972486304337202234301797 (pp87)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 2.69 hours.
Scaled time: 4.92 units (timescale=1.828).
Factorization parameters were as follows:
name: KA_1_3_133_7
n: 2634805908570693611140417837664983888590025050351305588155240577244081153892696172448415588779096746245907133670468605961542149
skew: 1.94
deg: 5
c5: 2
c0: 55
m: 1000000000000000000000000000
type: snfs
rlim: 2000000
alim: 2000000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 420001)
Primes: RFBsize:148933, AFBsize:148701, largePrimes:5227610 encountered
Relations: rels:4670599, finalFF:342239
Max relations in full relation-set: 48
Initial matrix: 297699 x 342239 with sparse part having weight 16564263.
Pruned matrix : 253523 x 255075 with weight 9103303.
Total sieving time: 2.32 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.25 hours.
Total square root time: 0.05 hours, sqrts: 2.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,2000000,2000000,28,28,48,48,2.5,2.5,75000
total time: 2.69 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10136+113

c137

name 名前Jo Yeong Uk
date 日付February 18, 2008 23:30:36 UTC 2008 年 2 月 19 日 (火) 8 時 30 分 36 秒 (日本時間)
composite number 合成数
13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<137>
prime factors 素因数
645109945959932436794670252937099004445884900281<48>
20668311528654469407072421372850207222818010052176468364973643563797095494823416253615777<89>
factorization results 素因数分解の結果
Number: 13337_136
N=13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 137 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=645109945959932436794670252937099004445884900281 (pp48)
 r2=20668311528654469407072421372850207222818010052176468364973643563797095494823416253615777 (pp89)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 3.28 hours.
Scaled time: 6.10 units (timescale=1.857).
Factorization parameters were as follows:
n: 13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 2000000000000000000000000000
c5: 5
c0: 44
skew: 1.54
type: snfs
Factor base limits: 1400000/1400000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 47/47
Sieved algebraic special-q in [700000, 1250001)
Primes: RFBsize:107126, AFBsize:107659, largePrimes:2240727 encountered
Relations: rels:2306072, finalFF:241669
Max relations in full relation-set: 28
Initial matrix: 214851 x 241669 with sparse part having weight 17262603.
Pruned matrix : 203670 x 204808 with weight 12258523.
Total sieving time: 3.06 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1400000,1400000,25,25,47,47,2.3,2.3,50000
total time: 3.28 hours.
 --------- CPU info (if available) ----------
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 for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2434k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.90 BogoMIPS (lpj=2406452)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405111)
Calibrating delay using timer specific routine.. 4809.73 BogoMIPS (lpj=2404867)
Calibrating delay using timer specific routine.. 4714.04 BogoMIPS (lpj=2357021)
execution environment 実行環境
Core 2 Quad Q6600

4×10138+113

c134

name 名前Robert Backstrom
date 日付February 19, 2008 19:39:05 UTC 2008 年 2 月 20 日 (水) 4 時 39 分 5 秒 (日本時間)
composite number 合成数
42499389071282100319807902761397804906554468279518481921822373803376576461713362870408737874393055599825752504807743388688787598678269<134>
prime factors 素因数
4867627495557587497174692021304110944538390547912798179387518159<64>
8731027407103137131104076747312662661769083489277298849485078143666291<70>
factorization results 素因数分解の結果
Number: n
N=42499389071282100319807902761397804906554468279518481921822373803376576461713362870408737874393055599825752504807743388688787598678269
  ( 134 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=4867627495557587497174692021304110944538390547912798179387518159 (pp64)
 r2=8731027407103137131104076747312662661769083489277298849485078143666291 (pp70)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 3.89 hours.
Scaled time: 7.11 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_137_7
n: 42499389071282100319807902761397804906554468279518481921822373803376576461713362870408737874393055599825752504807743388688787598678269
skew: 3.08
deg: 5
c5: 1
c0: 275
m: 10000000000000000000000000000
type: snfs
rlim: 2200000
alim: 2200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 580001)
Primes: RFBsize:162662, AFBsize:163221, largePrimes:5751332 encountered
Relations: rels:5168007, finalFF:374032
Max relations in full relation-set: 48
Initial matrix: 325947 x 374032 with sparse part having weight 20090079.
Pruned matrix : 280278 x 281971 with weight 11315150.
Total sieving time: 3.20 hours.
Total relation processing time: 0.11 hours.
Matrix solve time: 0.44 hours.
Total square root time: 0.14 hours, sqrts: 5.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,2200000,2200000,28,28,48,48,2.5,2.5,75000
total time: 3.89 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10139+113

c100

name 名前Robert Backstrom
date 日付February 18, 2008 22:23:26 UTC 2008 年 2 月 19 日 (火) 7 時 23 分 26 秒 (日本時間)
composite number 合成数
5570681932254449119912722314068632578185654803585207528603868306964889739331944223521659831242429887<100>
prime factors 素因数
337617990811478180020888640562676309<36>
16499955819490232143991256389127069993152179641301496930299925443<65>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 5570681932254449119912722314068632578185654803585207528603868306964889739331944223521659831242429887 (100 digits)
Using B1=1506000, B2=1504584501, polynomial Dickson(6), sigma=2141993293
Step 1 took 9742ms
Step 2 took 5511ms
********** Factor found in step 2: 337617990811478180020888640562676309
Found probable prime factor of 36 digits: 337617990811478180020888640562676309
Probable prime cofactor 16499955819490232143991256389127069993152179641301496930299925443 has 65 digits

4×10143+113

c128

name 名前Sinkiti Sibata
date 日付February 20, 2008 07:16:00 UTC 2008 年 2 月 20 日 (水) 16 時 16 分 0 秒 (日本時間)
composite number 合成数
17789417778805232112908786998844581501787575892209776794081262433217844819211255327899323908514311530976008988829918089682953889<128>
prime factors 素因数
540221890483900213100183282378870340497411947<45>
32929835114364724990528981056819343712336652054415144940805074403713200462062903587<83>
factorization results 素因数分解の結果
Number: 13337_143
N=17789417778805232112908786998844581501787575892209776794081262433217844819211255327899323908514311530976008988829918089682953889
  ( 128 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=540221890483900213100183282378870340497411947 (pp45)
 r2=32929835114364724990528981056819343712336652054415144940805074403713200462062903587 (pp83)
Version: GGNFS-0.77.1-20060513-k8
Total time: 13.31 hours.
Scaled time: 26.61 units (timescale=1.999).
Factorization parameters were as follows:
name: 13337_143
n: 17789417778805232112908786998844581501787575892209776794081262433217844819211255327899323908514311530976008988829918089682953889
m: 20000000000000000000000000000
c5: 125
c0: 11
skew: 0.62
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2150001)
Primes: RFBsize:100021, AFBsize:100439, largePrimes:2797871 encountered
Relations: rels:2800510, finalFF:269837
Max relations in full relation-set: 28
Initial matrix: 200525 x 269837 with sparse part having weight 27631150.
Pruned matrix : 181432 x 182498 with weight 16800760.
Total sieving time: 12.78 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.35 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 13.31 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10144+113

c109

name 名前Sinkiti Sibata
date 日付February 20, 2008 22:37:02 UTC 2008 年 2 月 21 日 (木) 7 時 37 分 2 秒 (日本時間)
composite number 合成数
2076996535572998507838714029821161997717606507974074306074404130017920430096263222528986801630708133180614513<109>
prime factors 素因数
447889331573911295153276557347209198287124299467688541<54>
4637298522548643845125317323631350351129872341828192293<55>
factorization results 素因数分解の結果
Number: 13337_144
N=2076996535572998507838714029821161997717606507974074306074404130017920430096263222528986801630708133180614513
  ( 109 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=447889331573911295153276557347209198287124299467688541 (pp54)
 r2=4637298522548643845125317323631350351129872341828192293 (pp55)
Version: GGNFS-0.77.1-20060513-k8
Total time: 15.65 hours.
Scaled time: 31.27 units (timescale=1.998).
Factorization parameters were as follows:
name: 13337_144
n: 2076996535572998507838714029821161997717606507974074306074404130017920430096263222528986801630708133180614513
m: 100000000000000000000000000000
c5: 2
c0: 55
skew: 1.94
type: snfs
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 45/45
Sieved algebraic special-q in [650000, 2350001)
Primes: RFBsize:100021, AFBsize:99789, largePrimes:2823314 encountered
Relations: rels:2832613, finalFF:264170
Max relations in full relation-set: 28
Initial matrix: 199875 x 264170 with sparse part having weight 28900389.
Pruned matrix : 182618 x 183681 with weight 18326210.
Total sieving time: 15.05 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.42 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000
total time: 15.65 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Duo E6300 1.86GHz, Windows Vista)

4×10145+113

c110

name 名前Hugo Platzer
date 日付February 23, 2008 17:04:28 UTC 2008 年 2 月 24 日 (日) 2 時 4 分 28 秒 (日本時間)
composite number 合成数
17759743538434462005501867658007215151785228754151261903789786747070005048229801123394965288753029945833500213<110>
prime factors 素因数
102626434436458488227945394792517443917521<42>
173052329411585166509799947374407788780786872404668069218460927279653<69>
factorization results 素因数分解の結果
Sat Feb 23 16:13:24 2008  
Sat Feb 23 16:13:24 2008  
Sat Feb 23 16:13:24 2008  Msieve v. 1.33
Sat Feb 23 16:13:24 2008  random seeds: 175687d3 05d4ec8b
Sat Feb 23 16:13:24 2008  factoring 17759743538434462005501867658007215151785228754151261903789786747070005048229801123394965288753029945833500213 (110 digits)
Sat Feb 23 16:13:26 2008  no P-1/P+1/ECM available, skipping
Sat Feb 23 16:13:26 2008  commencing number field sieve (110-digit input)
Sat Feb 23 16:13:26 2008  R0: -100000000000000000000000000000
Sat Feb 23 16:13:26 2008  R1:  1
Sat Feb 23 16:13:26 2008  A0:  11
Sat Feb 23 16:13:26 2008  A1:  0
Sat Feb 23 16:13:26 2008  A2:  0
Sat Feb 23 16:13:26 2008  A3:  0
Sat Feb 23 16:13:26 2008  A4:  0
Sat Feb 23 16:13:26 2008  A5:  4
Sat Feb 23 16:13:26 2008  size score = 6.148189e-10, Murphy alpha = 0.264305, combined = 5.629699e-10
Sat Feb 23 16:13:31 2008  restarting with 2588237 relations
Sat Feb 23 16:13:33 2008  added 11057 free relations
Sat Feb 23 16:13:33 2008  
Sat Feb 23 16:13:33 2008  commencing relation filtering
Sat Feb 23 16:13:33 2008  commencing duplicate removal, pass 1
Sat Feb 23 16:14:06 2008  found 12443 hash collisions in 2599294 relations
Sat Feb 23 16:14:06 2008  commencing duplicate removal, pass 2
Sat Feb 23 16:14:09 2008  found 0 duplicates and 2599294 unique relations
Sat Feb 23 16:14:09 2008  memory use: 36.5 MB
Sat Feb 23 16:14:10 2008  ignoring smallest 136043 rational and 135518 algebraic ideals
Sat Feb 23 16:14:10 2008  filtering rational ideals above 1813985
Sat Feb 23 16:14:10 2008  filtering algebraic ideals above 1813985
Sat Feb 23 16:14:10 2008  need 461653 more relations than ideals
Sat Feb 23 16:14:10 2008  commencing singleton removal, pass 1
Sat Feb 23 16:14:40 2008  relations with 0 large ideals: 83025
Sat Feb 23 16:14:40 2008  relations with 1 large ideals: 588085
Sat Feb 23 16:14:40 2008  relations with 2 large ideals: 1248703
Sat Feb 23 16:14:40 2008  relations with 3 large ideals: 577206
Sat Feb 23 16:14:40 2008  relations with 4 large ideals: 92848
Sat Feb 23 16:14:40 2008  relations with 5 large ideals: 5058
Sat Feb 23 16:14:40 2008  relations with 6 large ideals: 4369
Sat Feb 23 16:14:40 2008  relations with 7+ large ideals: 0
Sat Feb 23 16:14:40 2008  2599294 relations and about 2552882 large ideals
Sat Feb 23 16:14:40 2008  commencing singleton removal, pass 2
Sat Feb 23 16:15:13 2008  found 1440752 singletons
Sat Feb 23 16:15:13 2008  current dataset: 1158542 relations and about 817492 large ideals
Sat Feb 23 16:15:13 2008  commencing singleton removal, pass 3
Sat Feb 23 16:15:29 2008  found 194821 singletons
Sat Feb 23 16:15:29 2008  current dataset: 963721 relations and about 611281 large ideals
Sat Feb 23 16:15:29 2008  commencing singleton removal, final pass
Sat Feb 23 16:15:43 2008  memory use: 15.3 MB
Sat Feb 23 16:15:43 2008  commencing in-memory singleton removal
Sat Feb 23 16:15:44 2008  begin with 963721 relations and 623692 unique ideals
Sat Feb 23 16:15:44 2008  reduce to 883576 relations and 542216 ideals in 10 passes
Sat Feb 23 16:15:44 2008  max relations containing the same ideal: 28
Sat Feb 23 16:15:44 2008  dataset has 25.7% excess relations
Sat Feb 23 16:15:46 2008  ignoring smallest 123430 rational and 122825 algebraic ideals
Sat Feb 23 16:15:46 2008  filtering rational ideals above 1632586
Sat Feb 23 16:15:46 2008  filtering algebraic ideals above 1632586
Sat Feb 23 16:15:46 2008  need 307223 more relations than ideals
Sat Feb 23 16:15:46 2008  commencing singleton removal, final pass
Sat Feb 23 16:15:59 2008  memory use: 15.3 MB
Sat Feb 23 16:15:59 2008  commencing in-memory singleton removal
Sat Feb 23 16:15:59 2008  begin with 883577 relations and 567386 unique ideals
Sat Feb 23 16:15:59 2008  reduce to 882237 relations and 566044 ideals in 7 passes
Sat Feb 23 16:15:59 2008  max relations containing the same ideal: 28
Sat Feb 23 16:16:00 2008  dataset has 16.4% excess relations
Sat Feb 23 16:16:01 2008  ignoring smallest 110719 rational and 110299 algebraic ideals
Sat Feb 23 16:16:01 2008  filtering rational ideals above 1451187
Sat Feb 23 16:16:01 2008  filtering algebraic ideals above 1451187
Sat Feb 23 16:16:01 2008  need 293285 more relations than ideals
Sat Feb 23 16:16:01 2008  commencing singleton removal, final pass
Sat Feb 23 16:16:14 2008  memory use: 15.3 MB
Sat Feb 23 16:16:14 2008  commencing in-memory singleton removal
Sat Feb 23 16:16:14 2008  begin with 882238 relations and 591202 unique ideals
Sat Feb 23 16:16:14 2008  reduce to 881380 relations and 590342 ideals in 6 passes
Sat Feb 23 16:16:14 2008  max relations containing the same ideal: 28
Sat Feb 23 16:16:14 2008  dataset has 7.2% excess relations
Sat Feb 23 16:16:15 2008  relations with 0 large ideals: 44235
Sat Feb 23 16:16:15 2008  relations with 1 large ideals: 181651
Sat Feb 23 16:16:15 2008  relations with 2 large ideals: 309586
Sat Feb 23 16:16:15 2008  relations with 3 large ideals: 241636
Sat Feb 23 16:16:15 2008  relations with 4 large ideals: 88087
Sat Feb 23 16:16:15 2008  relations with 5 large ideals: 12113
Sat Feb 23 16:16:15 2008  relations with 6 large ideals: 4072
Sat Feb 23 16:16:15 2008  relations with 7+ large ideals: 0
Sat Feb 23 16:16:15 2008  commencing 2-way merge
Sat Feb 23 16:16:15 2008  reduce to 564943 relation sets and 273905 unique ideals
Sat Feb 23 16:16:15 2008  commencing full merge
Sat Feb 23 16:16:22 2008  memory use: 19.8 MB
Sat Feb 23 16:16:22 2008  found 295769 cycles, need 232105
Sat Feb 23 16:16:22 2008  weight of 232105 cycles is about 12331805 (53.13/cycle)
Sat Feb 23 16:16:22 2008  distribution of cycle lengths:
Sat Feb 23 16:16:22 2008  1 relations: 45548
Sat Feb 23 16:16:22 2008  2 relations: 28579
Sat Feb 23 16:16:22 2008  3 relations: 26155
Sat Feb 23 16:16:22 2008  4 relations: 23813
Sat Feb 23 16:16:22 2008  5 relations: 22040
Sat Feb 23 16:16:22 2008  6 relations: 19736
Sat Feb 23 16:16:22 2008  7 relations: 17520
Sat Feb 23 16:16:22 2008  8 relations: 15457
Sat Feb 23 16:16:22 2008  9 relations: 13409
Sat Feb 23 16:16:22 2008  10+ relations: 19848
Sat Feb 23 16:16:22 2008  heaviest cycle: 13 relations
Sat Feb 23 16:16:22 2008  matrix not dense enough, retrying
Sat Feb 23 16:16:22 2008  dataset has 7.2% excess relations
Sat Feb 23 16:16:24 2008  ignoring smallest 97887 rational and 97616 algebraic ideals
Sat Feb 23 16:16:24 2008  filtering rational ideals above 1269789
Sat Feb 23 16:16:24 2008  filtering algebraic ideals above 1269789
Sat Feb 23 16:16:24 2008  need 293285 more relations than ideals
Sat Feb 23 16:16:24 2008  commencing singleton removal, final pass
Sat Feb 23 16:16:37 2008  memory use: 15.3 MB
Sat Feb 23 16:16:37 2008  commencing in-memory singleton removal
Sat Feb 23 16:16:37 2008  begin with 881381 relations and 615815 unique ideals
Sat Feb 23 16:16:37 2008  reduce to 880876 relations and 615308 ideals in 7 passes
Sat Feb 23 16:16:37 2008  max relations containing the same ideal: 31
Sat Feb 23 16:16:37 2008  dataset has -2.2% excess relations
Sat Feb 23 16:16:38 2008  relations with 0 large ideals: 29853
Sat Feb 23 16:16:38 2008  relations with 1 large ideals: 135797
Sat Feb 23 16:16:38 2008  relations with 2 large ideals: 280412
Sat Feb 23 16:16:38 2008  relations with 3 large ideals: 275356
Sat Feb 23 16:16:38 2008  relations with 4 large ideals: 130074
Sat Feb 23 16:16:38 2008  relations with 5 large ideals: 24264
Sat Feb 23 16:16:38 2008  relations with 6 large ideals: 5118
Sat Feb 23 16:16:38 2008  relations with 7+ large ideals: 2
Sat Feb 23 16:16:38 2008  commencing 2-way merge
Sat Feb 23 16:16:38 2008  reduce to 563895 relation sets and 298327 unique ideals
Sat Feb 23 16:16:38 2008  commencing full merge
Sat Feb 23 16:16:47 2008  memory use: 20.7 MB
Sat Feb 23 16:16:47 2008  found 277379 cycles, need 216527
Sat Feb 23 16:16:47 2008  weight of 216527 cycles is about 13335440 (61.59/cycle)
Sat Feb 23 16:16:47 2008  distribution of cycle lengths:
Sat Feb 23 16:16:47 2008  1 relations: 32177
Sat Feb 23 16:16:47 2008  2 relations: 22556
Sat Feb 23 16:16:47 2008  3 relations: 22387
Sat Feb 23 16:16:47 2008  4 relations: 21245
Sat Feb 23 16:16:47 2008  5 relations: 20362
Sat Feb 23 16:16:47 2008  6 relations: 18654
Sat Feb 23 16:16:47 2008  7 relations: 17219
Sat Feb 23 16:16:47 2008  8 relations: 15456
Sat Feb 23 16:16:47 2008  9 relations: 13974
Sat Feb 23 16:16:47 2008  10+ relations: 32497
Sat Feb 23 16:16:47 2008  heaviest cycle: 15 relations
Sat Feb 23 16:16:47 2008  commencing cycle optimization
Sat Feb 23 16:16:48 2008  start with 1172495 relations
Sat Feb 23 16:16:51 2008  pruned 41529 relations
Sat Feb 23 16:16:51 2008  memory use: 29.2 MB
Sat Feb 23 16:16:51 2008  distribution of cycle lengths:
Sat Feb 23 16:16:51 2008  1 relations: 32177
Sat Feb 23 16:16:51 2008  2 relations: 23166
Sat Feb 23 16:16:51 2008  3 relations: 23482
Sat Feb 23 16:16:51 2008  4 relations: 22187
Sat Feb 23 16:16:51 2008  5 relations: 21489
Sat Feb 23 16:16:51 2008  6 relations: 19596
Sat Feb 23 16:16:51 2008  7 relations: 17994
Sat Feb 23 16:16:51 2008  8 relations: 16017
Sat Feb 23 16:16:51 2008  9 relations: 13859
Sat Feb 23 16:16:51 2008  10+ relations: 26560
Sat Feb 23 16:16:51 2008  heaviest cycle: 15 relations
Sat Feb 23 16:16:51 2008  
Sat Feb 23 16:16:51 2008  commencing linear algebra
Sat Feb 23 16:16:52 2008  read 216527 cycles
Sat Feb 23 16:16:52 2008  cycles contain 583896 unique relations
Sat Feb 23 16:17:00 2008  read 583896 relations
Sat Feb 23 16:17:01 2008  using 32 quadratic characters above 67093592
Sat Feb 23 16:17:16 2008  building initial matrix
Sat Feb 23 16:17:28 2008  memory use: 71.2 MB
Sat Feb 23 16:17:29 2008  read 216527 cycles
Sat Feb 23 16:17:30 2008  matrix is 216207 x 216527 (53.4 MB) with weight 18522721 (85.54/col)
Sat Feb 23 16:17:30 2008  sparse part has weight 12477653 (57.63/col)
Sat Feb 23 16:17:34 2008  filtering completed in 3 passes
Sat Feb 23 16:17:34 2008  matrix is 214854 x 215054 (53.1 MB) with weight 18423986 (85.67/col)
Sat Feb 23 16:17:34 2008  sparse part has weight 12419321 (57.75/col)
Sat Feb 23 16:17:37 2008  read 215054 cycles
Sat Feb 23 16:17:38 2008  matrix is 214854 x 215054 (53.1 MB) with weight 18423986 (85.67/col)
Sat Feb 23 16:17:38 2008  sparse part has weight 12419321 (57.75/col)
Sat Feb 23 16:17:38 2008  saving the first 48 matrix rows for later
Sat Feb 23 16:17:38 2008  matrix is 214806 x 215054 (50.4 MB) with weight 13723478 (63.81/col)
Sat Feb 23 16:17:38 2008  sparse part has weight 11933368 (55.49/col)
Sat Feb 23 16:17:38 2008  matrix includes 64 packed rows
Sat Feb 23 16:17:38 2008  using block size 65536 for processor cache size 2048 kB
Sat Feb 23 16:17:40 2008  commencing Lanczos iteration
Sat Feb 23 16:17:40 2008  memory use: 50.1 MB
Sat Feb 23 16:29:15 2008  lanczos halted after 3399 iterations (dim = 214804)
Sat Feb 23 16:29:16 2008  recovered 50 nontrivial dependencies
Sat Feb 23 16:29:16 2008  
Sat Feb 23 16:29:16 2008  commencing square root phase
Sat Feb 23 16:29:16 2008  reading relations for dependency 1
Sat Feb 23 16:29:16 2008  read 107635 cycles
Sat Feb 23 16:29:17 2008  cycles contain 354348 unique relations
Sat Feb 23 16:29:22 2008  read 354348 relations
Sat Feb 23 16:29:25 2008  multiplying 564220 relations
Sat Feb 23 16:30:31 2008  multiply complete, coefficients have about 12.42 million bits
Sat Feb 23 16:30:32 2008  initial square root is modulo 13694671
Sat Feb 23 16:32:21 2008  reading relations for dependency 2
Sat Feb 23 16:32:21 2008  read 107185 cycles
Sat Feb 23 16:32:21 2008  cycles contain 353436 unique relations
Sat Feb 23 16:32:26 2008  read 353436 relations
Sat Feb 23 16:32:29 2008  multiplying 562622 relations
Sat Feb 23 16:33:36 2008  multiply complete, coefficients have about 12.39 million bits
Sat Feb 23 16:33:36 2008  initial square root is modulo 13126801
Sat Feb 23 16:35:25 2008  prp42 factor: 102626434436458488227945394792517443917521
Sat Feb 23 16:35:25 2008  prp69 factor: 173052329411585166509799947374407788780786872404668069218460927279653
Sat Feb 23 16:35:25 2008  elapsed time 00:22:01
software ソフトウェア
GGNFS was used for sieving, msieve for postprocessing.
execution environment 実行環境
Pentium 4 3.20  GHZ, Linux-2-6-22-14, Ubuntu 7.10  

4×10146+113

c125

name 名前Jo Yeong Uk
date 日付February 25, 2008 00:00:50 UTC 2008 年 2 月 25 日 (月) 9 時 0 分 50 秒 (日本時間)
composite number 合成数
61331323866859234793535149039669162933374982327254070525498118062757055024749503269364810023134339956117348152633622026641359<125>
prime factors 素因数
3373815312296460190139766384592183<34>
6790688513659658695196059113391453<34>
2676992930436323638563724011958164341185215909432586996541<58>
factorization results 素因数分解の結果
Number: 13337_146
N=61331323866859234793535149039669162933374982327254070525498118062757055024749503269364810023134339956117348152633622026641359
  ( 125 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=3373815312296460190139766384592183 (pp34)
 r2=6790688513659658695196059113391453 (pp34)
 r3=2676992930436323638563724011958164341185215909432586996541 (pp58)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 9.35 hours.
Scaled time: 17.36 units (timescale=1.857).
Factorization parameters were as follows:
n: 61331323866859234793535149039669162933374982327254070525498118062757055024749503269364810023134339956117348152633622026641359
m: 200000000000000000000000000000
c5: 5
c0: 44
skew: 1.54
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, 1500001)
Primes: RFBsize:135072, AFBsize:135714, largePrimes:3758274 encountered
Relations: rels:3890188, finalFF:425896
Max relations in full relation-set: 28
Initial matrix: 270852 x 425896 with sparse part having weight 38438323.
Pruned matrix : 214967 x 216385 with weight 17402299.
Total sieving time: 9.07 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1800000,1800000,26,26,48,48,2.3,2.3,75000
total time: 9.35 hours.
 --------- CPU info (if available) ----------
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 for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406455)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110)
Calibrating delay using timer specific routine.. 4810.31 BogoMIPS (lpj=2405155)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
execution environment 実行環境
Core 2 Quad Q6600

4×10149+113

c121

name 名前Robert Backstrom
date 日付February 19, 2008 19:32:41 UTC 2008 年 2 月 20 日 (水) 4 時 32 分 41 秒 (日本時間)
composite number 合成数
6792607812810966812696054335486176763506067853623183131083234129992086750249270424315302728986609775323759382373740770081<121>
prime factors 素因数
2717076605390979007381323216479100539<37>
2499969194587184389860981086852270761643057631388490569409971104066011589674512322579<85>
factorization results 素因数分解の結果
Number: n
N=6792607812810966812696054335486176763506067853623183131083234129992086750249270424315302728986609775323759382373740770081
  ( 121 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=2717076605390979007381323216479100539 (pp37)
 r2=2499969194587184389860981086852270761643057631388490569409971104066011589674512322579 (pp85)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 10.10 hours.
Scaled time: 18.48 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_148_7
n: 6792607812810966812696054335486176763506067853623183131083234129992086750249270424315302728986609775323759382373740770081
skew: 1.94
deg: 5
c5: 2
c0: 55
m: 1000000000000000000000000000000
type: snfs
rlim: 2500000
alim: 2500000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 20000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 660001)
Primes: RFBsize:183072, AFBsize:182867, largePrimes:6264948 encountered
Relations: rels:5745258, finalFF:448309
Max relations in full relation-set: 48
Initial matrix: 366004 x 448309 with sparse part having weight 28960939.
Pruned matrix : 296128 x 298022 with weight 15039151.
Total sieving time: 9.34 hours.
Total relation processing time: 0.13 hours.
Matrix solve time: 0.60 hours.
Total square root time: 0.04 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2500000,2500000,28,28,48,48,2.5,2.5,100000
total time: 10.10 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10150+113

c123

name 名前Sinkiti Sibata
date 日付February 25, 2008 23:52:50 UTC 2008 年 2 月 26 日 (火) 8 時 52 分 50 秒 (日本時間)
composite number 合成数
328556508978807216467909242087984532386542899298545695789839803490270877924857370271680502884986361766553459019686141468733<123>
prime factors 素因数
842567218953103748778820051250784569042311499<45>
389946940241801961370181471323403096587030785968251538514409936744648047951767<78>
factorization results 素因数分解の結果
Number: 13337_150
N=328556508978807216467909242087984532386542899298545695789839803490270877924857370271680502884986361766553459019686141468733
  ( 123 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=842567218953103748778820051250784569042311499 (pp45)
 r2=389946940241801961370181471323403096587030785968251538514409936744648047951767 (pp78)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 23.88 hours.
Scaled time: 16.09 units (timescale=0.674).
Factorization parameters were as follows:
name: 13337_150
n: 328556508978807216467909242087984532386542899298545695789839803490270877924857370271680502884986361766553459019686141468733
m: 1000000000000000000000000000000
c5: 4
c0: 11
skew: 1.22
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, 1800001)
Primes: RFBsize:176302, AFBsize:175914, largePrimes:5199684 encountered
Relations: rels:5061012, finalFF:454047
Max relations in full relation-set: 28
Initial matrix: 352280 x 454047 with sparse part having weight 34543199.
Pruned matrix : 283186 x 285011 with weight 20367249.
Total sieving time: 20.94 hours.
Total relation processing time: 0.17 hours.
Matrix solve time: 2.64 hours.
Time per square root: 0.13 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000
total time: 23.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10151+113

c104

name 名前Sinkiti Sibata
date 日付February 20, 2008 05:42:16 UTC 2008 年 2 月 20 日 (水) 14 時 42 分 16 秒 (日本時間)
composite number 合成数
11950090082269470772012979307480787589555936665450276418632716974465848898807642129099590952613093513863<104>
prime factors 素因数
2337821818609044897355108471584512338289378161<46>
5111634251655468130247648332197620987017296367122312286583<58>
factorization results 素因数分解の結果
Number: 13337_151
N=11950090082269470772012979307480787589555936665450276418632716974465848898807642129099590952613093513863
  ( 104 digits)
Divisors found:
 r1=2337821818609044897355108471584512338289378161 (pp46)
 r2=5111634251655468130247648332197620987017296367122312286583 (pp58)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 14.67 hours.
Scaled time: 9.91 units (timescale=0.675).
Factorization parameters were as follows:
name: 13337_151
n: 11950090082269470772012979307480787589555936665450276418632716974465848898807642129099590952613093513863
skew: 6800.61
# norm 1.74e+14
c5: 29640
c4: -1232540113
c3: 2169770658470
c2: -20196984656031629
c1: -134467529912451149353
c0: 32693537318913341764250
# alpha -5.44
Y1: 26651928809
Y0: -52613891591132659327
# Murphy_E 2.20e-09
# M 1484081719694419706365100096805128173093244655510772422378879253150230070968344633840020539840777333680
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, 1950001)
Primes: RFBsize:169511, AFBsize:170092, largePrimes:4530487 encountered
Relations: rels:4761478, finalFF:578150
Max relations in full relation-set: 28
Initial matrix: 339686 x 578150 with sparse part having weight 44365745.
Pruned matrix : 189798 x 191560 with weight 21055717.
Polynomial selection time: 0.79 hours.
Total sieving time: 12.20 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 1.27 hours.
Time per square root: 0.20 hours.
Prototype def-par.txt line would be:
gnfs,103,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 14.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
:
Pentium 4 2.4GHz, Windows XP and Cygwin)

4×10156+113

c89

name 名前Robert Backstrom
date 日付February 18, 2008 14:43:52 UTC 2008 年 2 月 18 日 (月) 23 時 43 分 52 秒 (日本時間)
composite number 合成数
13342603878970740335547992171156385468983853974825214179287651554644003350176478563770747<89>
prime factors 素因数
3843061199517217692568521094769<31>
3471868696924966252462632988741475891496853178404981998763<58>
factorization results 素因数分解の結果
GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM]
Input number is 13342603878970740335547992171156385468983853974825214179287651554644003350176478563770747 (89 digits)
Using B1=428000, B2=250562999, polynomial Dickson(3), sigma=3837357071
Step 1 took 2435ms
Step 2 took 1567ms
********** Factor found in step 2: 3843061199517217692568521094769
Found probable prime factor of 31 digits: 3843061199517217692568521094769
Probable prime cofactor 3471868696924966252462632988741475891496853178404981998763 has 58 digits

4×10157+113

c158

name 名前Jo Yeong Uk
date 日付February 20, 2008 11:35:38 UTC 2008 年 2 月 20 日 (水) 20 時 35 分 38 秒 (日本時間)
composite number 合成数
13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<158>
prime factors 素因数
4766737278377335686560797181373572835442956918758084311522740015959165729<73>
2797161361045722925353515065028853432915519784372454180355700451963746101938543639353<85>
factorization results 素因数分解の結果
Number: 13337_157
N=13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
  ( 158 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=4766737278377335686560797181373572835442956918758084311522740015959165729 (pp73)
 r2=2797161361045722925353515065028853432915519784372454180355700451963746101938543639353 (pp85)
Version: GGNFS-0.77.1-20050930-nocona
Total time: 21.35 hours.
Scaled time: 39.60 units (timescale=1.855).
Factorization parameters were as follows:
n: 13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337
m: 20000000000000000000000000000000
c5: 25
c0: 22
skew: 0.97
type: snfs
Factor base limits: 3000000/3000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [1500000, 2800001)
Primes: RFBsize:216816, AFBsize:216262, largePrimes:5564985 encountered
Relations: rels:5470103, finalFF:504877
Max relations in full relation-set: 28
Initial matrix: 433141 x 504877 with sparse part having weight 39439439.
Pruned matrix : 394545 x 396774 with weight 27271708.
Total sieving time: 20.39 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.83 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,157,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000
total time: 21.35 hours.
 --------- CPU info (if available) ----------
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 for crash kernel (0x0 to 0x0) notwithin permissible range
Memory: 8178280k/8912896k available (2435k kernel code, 208060k reserved, 1235k data, 192k init)
Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406455)
Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110)
Calibrating delay using timer specific routine.. 4810.31 BogoMIPS (lpj=2405155)
Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405117)
execution environment 実行環境
Core 2 Quad Q6600

4×10158+113

c155

name 名前Jo Yeong Uk
date 日付February 20, 2008 04:06:22 UTC 2008 年 2 月 20 日 (水) 13 時 6 分 22 秒 (日本時間)
composite number 合成数
16194987651321915867039151382647070731608567148467549293493663711081420300417020932021539333576258148103162071338920604073039394307461840560346572735738289<155>
prime factors 素因数
1527862686242403797544393553027<31>
composite cofactor 合成数の残り
10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307<125>
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 16194987651321915867039151382647070731608567148467549293493663711081420300417020932021539333576258148103162071338920604073039394307461840560346572735738289 (155 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1326395002
Step 1 took 8320ms
Step 2 took 4969ms
********** Factor found in step 2: 1527862686242403797544393553027
Found probable prime factor of 31 digits: 1527862686242403797544393553027
Composite cofactor 10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307 has 125 digits
execution environment 実行環境
Core 2 Quad Q6600

c125

name 名前Robert Backstrom
date 日付March 7, 2008 19:32:47 UTC 2008 年 3 月 8 日 (土) 4 時 32 分 47 秒 (日本時間)
composite number 合成数
10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307<125>
prime factors 素因数
287883469723032768443947642361131998993548767401991588961<57>
36819642567197130462621523866484529898124568522097561899681003205787<68>
factorization results 素因数分解の結果
Number: n
N=10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307
  ( 125 digits)
SNFS difficulty: 158 digits.
Divisors found:

Sat Mar 08 06:26:55 2008  prp57 factor: 287883469723032768443947642361131998993548767401991588961
Sat Mar 08 06:26:55 2008  prp68 factor: 36819642567197130462621523866484529898124568522097561899681003205787
Sat Mar 08 06:26:55 2008  elapsed time 01:39:35 (Msieve 1.33)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 36.63 hours.
Scaled time: 64.10 units (timescale=1.750).
Factorization parameters were as follows:
name: KA_1_3_157_7
n: 10599766456206583622902219875082963980035743593315729410558814794508496584089071087989307287849025249575541272349851000517307
type: snfs
skew: 0.62
deg: 5
c5: 125
c0: 11
m: 20000000000000000000000000000000
rlim: 2400000
alim: 2400000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
qintsize: 100000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 2800000)
Primes: RFBsize:176302, AFBsize:176929, largePrimes:7011112 encountered
Relations: rels:6417268, finalFF:404337
Max relations in full relation-set: 28
Initial matrix: 353296 x 404337 with sparse part having weight 36767863.
Pruned matrix : 325440 x 327270 with weight 26935597.
Total sieving time: 36.43 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,2400000,2400000,28,28,48,48,2.3,2.3,100000
total time: 36.63 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3200+

4×10159+113

c149

name 名前Robert Backstrom
date 日付March 7, 2008 23:39:43 UTC 2008 年 3 月 8 日 (土) 8 時 39 分 43 秒 (日本時間)
composite number 合成数
37465130874056071128739882858608333273867038510555797284685508890275122646470838126444335066949288631674709132239035959872852775412243385761599230119<149>
prime factors 素因数
204085081256816882314444265811755088306232143029920183782151756286272303<72>
183576039185885640888108236068058657286106092960627488427886381858697479384073<78>
factorization results 素因数分解の結果
Number: n
N=37465130874056071128739882858608333273867038510555797284685508890275122646470838126444335066949288631674709132239035959872852775412243385761599230119
  ( 149 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=204085081256816882314444265811755088306232143029920183782151756286272303 (pp72)
 r2=183576039185885640888108236068058657286106092960627488427886381858697479384073 (pp78)
Version: GGNFS-0.77.1-20051202-athlon
Total time: 23.35 hours.
Scaled time: 42.71 units (timescale=1.829).
Factorization parameters were as follows:
name: KA_1_3_158_7
n: 37465130874056071128739882858608333273867038510555797284685508890275122646470838126444335066949288631674709132239035959872852775412243385761599230119
skew: 1.94
deg: 5
c5: 2
c0: 55
m: 100000000000000000000000000000000
type: snfs
rlim: 2800000
alim: 2800000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved algebraic special-q in [100000, 1600001)
Primes: RFBsize:203362, AFBsize:203108, largePrimes:7174383 encountered
Relations: rels:6696120, finalFF:533294
Max relations in full relation-set: 48
Initial matrix: 406535 x 533294 with sparse part having weight 47341680.
Pruned matrix : 315527 x 317623 with weight 26303198.
Total sieving time: 22.28 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.89 hours.
Total square root time: 0.05 hours, sqrts: 1.
Prototype def-par.txt line would be:
snfs,160,5,0,0,0,0,0,0,0,0,2800000,2800000,28,28,48,48,2.5,2.5,100000
total time: 23.35 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 X2 6000+

4×10163+113

c135

name 名前Sinkiti Sibata
date 日付March 9, 2008 22:37:16 UTC 2008 年 3 月 10 日 (月) 7 時 37 分 16 秒 (日本時間)
composite number 合成数
297347555968943318517168374915449211547556632286503794637272357540890612022634850535944311114254649675656903511660872954505705157122763<135>
prime factors 素因数
139264282223215405733533065658698214852552428148010156791<57>
2135131501215430631229036018332690103622289502314800149143766658044782641913293<79>
factorization results 素因数分解の結果
Number: 13337_163
N=297347555968943318517168374915449211547556632286503794637272357540890612022634850535944311114254649675656903511660872954505705157122763
  ( 135 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=139264282223215405733533065658698214852552428148010156791 (pp57)
 r2=2135131501215430631229036018332690103622289502314800149143766658044782641913293 (pp79)
Version: GGNFS-0.77.1-20060513-pentium4
Total time: 107.67 hours.
Scaled time: 72.68 units (timescale=0.675).
Factorization parameters were as follows:
name: 13337_163
n: 297347555968943318517168374915449211547556632286503794637272357540890612022634850535944311114254649675656903511660872954505705157122763
m: 200000000000000000000000000000000
c5: 125
c0: 11
skew: 0.62
type: snfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 48/48
Sieved algebraic special-q in [2250000, 4850001)
Primes: RFBsize:315948, AFBsize:316157, largePrimes:5861775 encountered
Relations: rels:6006525, finalFF:767511
Max relations in full relation-set: 28
Initial matrix: 632170 x 767511 with sparse part having weight 52013479.
Pruned matrix : 529404 x 532628 with weight 36397514.
Total sieving time: 93.52 hours.
Total relation processing time: 0.40 hours.
Matrix solve time: 13.52 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000
total time: 107.67 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.GHz, Windows XP and Cygwin)

4×10167+113

c164

name 名前Robert Backstrom
date 日付April 12, 2008 11:45:07 UTC 2008 年 4 月 12 日 (土) 20 時 45 分 7 秒 (日本時間)
composite number 合成数
14347716919545177373650417877255281753291007568420675060081064600595430252161124861006492341906094192761576814089458014993364180924710355464686681731769432189102909<164>
prime factors 素因数
224864619045978638314145645571117372544626209<45>
23565455558677248911299805619150071026683171590171297<53>
2707608271774091657130405693450396883166513443249779410037377585533<67>
factorization results 素因数分解の結果
Number: n
N=14347716919545177373650417877255281753291007568420675060081064600595430252161124861006492341906094192761576814089458014993364180924710355464686681731769432189102909
  ( 164 digits)
SNFS difficulty: 167 digits.
Divisors found:

Sat Apr 12 21:37:02 2008  prp45 factor: 224864619045978638314145645571117372544626209
Sat Apr 12 21:37:02 2008  prp53 factor: 23565455558677248911299805619150071026683171590171297
Sat Apr 12 21:37:02 2008  prp67 factor: 2707608271774091657130405693450396883166513443249779410037377585533
Sat Apr 12 21:37:02 2008  elapsed time 01:43:43 (Msieve 1.34)

Version: GGNFS-0.77.1-20051202-athlon
Total time: 63.71 hours.
Scaled time: 92.25 units (timescale=1.448).
Factorization parameters were as follows:
name: KA_1_3_166_7
n: 14347716919545177373650417877255281753291007568420675060081064600595430252161124861006492341906094192761576814089458014993364180924710355464686681731769432189102909
skew: 0.97
deg: 5
c5: 25
c0: 22
m: 2000000000000000000000000000000000
type: snfs
rlim: 3200000
alim: 3200000
lpbr: 28
lpba: 28
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 48/48
Sieved  special-q in [100000, 3300127)
Primes: RFBsize:230209, AFBsize:229923, largePrimes:7513121 encountered
Relations: rels:6955203, finalFF:510760
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 
Total sieving time: 63.46 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,3200000,3200000,28,28,48,48,2.5,2.5,100000
total time: 63.71 hours.
 --------- CPU info (if available) ----------

Cygwin on AMD 64 3400+

4×10169+113

c157

name 名前Robert Backstrom
date 日付July 17, 2008 09:07:54 UTC 2008 年 7 月 17 日 (木) 18 時 7 分 54 秒 (日本時間)
composite number 合成数
3923145304989607177121428858543371401878419782696778312198415515159833983978497922783796822070977006684133708083409499491709074952857326718520979695537127687<157>
prime factors 素因数
243693271397142150776644064113<30>
16098701792205555493787516689184765943671906327794613923990682608079019066384014799429979843106295062079900053829846688958148599<128>
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 3923145304989607177121428858543371401878419782696778312198415515159833983978497922783796822070977006684133708083409499491709074952857326718520979695537127687 (157 digits)
Using B1=704000, B2=696689082, polynomial Dickson(3), sigma=106168389
Step 1 took 11859ms
Step 2 took 6360ms
********** Factor found in step 2: 243693271397142150776644064113
Found probable prime factor of 30 digits: 243693271397142150776644064113
Probable prime cofactor 16098701792205555493787516689184765943671906327794613923990682608079019066384014799429979843106295062079900053829846688958148599 has 128 digits

4×10171+113

c141

name 名前Markus Tervooren
date 日付September 26, 2009 07:42:25 UTC 2009 年 9 月 26 日 (土) 16 時 42 分 25 秒 (日本時間)
composite number 合成数
220357785298278872892784664585406020968375369048489031248965332108618856387803229103228141852982521439836899650582755926946518515901949291531<141>
prime factors 素因数
32796263790032162260416666480613909929429271255997211512456887<62>
6718990513951552009093589590607436430709568483272900615696735525954611962696013<79>
factorization results 素因数分解の結果
Next experiment:

rlim: 5100000
alim: 5100000
lpbr: 24
lpba: 24
mfbr: 32
mfba: 32
rlambda: 2.4
alambda: 2.4


N=220357785298278872892784664585406020968375369048489031248965332108618856387803229103228141852982521439836899650582755926946518515901949291531
  ( 141 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=32796263790032162260416666480613909929429271255997211512456887 (pp62)
 r2=6718990513951552009093589590607436430709568483272900615696735525954611962696013 (pp79)
Version: Msieve-1.39
Total time: 112.67 hours.
Scaled time: 238.86 units (timescale=2.120).
Factorization parameters were as follows:
n: 220357785298278872892784664585406020968375369048489031248965332108618856387803229103228141852982521439836899650582755926946518515901949291531
m: 10000000000000000000000000000000000
deg: 5
c5: 40
c0: 11
skew: 0.77
type: snfs
lss: 1
rlim: 5100000
alim: 5100000
lpbr: 24
lpba: 24
mfbr: 32
mfba: 32
rlambda: 2.4
alambda: 2.4

Factor base limits: 5100000/5100000
Large primes per side: 3
Large prime bits: 24/24
Max factor residue bits: 32/32
Sieved rational special-q in [2550000, 12750001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 527505 x 527730
Total sieving time: 112.13 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5100000,5100000,24,24,32,32,2.4,2.4,200000
total time: 112.67 hours.
 --------- CPU info (if available) ----------
[    0.148007] CPU0: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.240015] CPU1: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.335125] CPU2: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.432094] CPU3: Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
[    0.004000] Memory: 8197992k/10485760k available (2226k kernel code, 189844k reserved, 1082k data, 392k init)
[    0.083917] Calibrating delay using timer specific routine.. 5503.93 BogoMIPS (lpj=11007873)
[    0.160010] Calibrating delay using timer specific routine.. 5499.97 BogoMIPS (lpj=10999957)
[    0.252015] Calibrating delay using timer specific routine.. 5500.01 BogoMIPS (lpj=11000021)
[    0.351657] Calibrating delay using timer specific routine.. 5499.99 BogoMIPS (lpj=10999983)
[    0.436823] Total of 4 processors activated (22003.91 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 8, 2009 03:04:09 UTC 2009 年 8 月 8 日 (土) 12 時 4 分 9 秒 (日本時間)

4×10172+113

c148

name 名前Wataru Sakai
date 日付August 11, 2009 12:02:36 UTC 2009 年 8 月 11 日 (火) 21 時 2 分 36 秒 (日本時間)
composite number 合成数
3381899821361186576771478659843174759440707197258203030747846570211656654664843567072883701115498488568534302097773005547758729373435790031973159323<148>
prime factors 素因数
147668611851868658810324482778075801<36>
22901954443464829237690488724952674774172113307515222316314785504936376877185871170914885048443823739100628195923<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1532346831
Step 1 took 46999ms
Step 2 took 16538ms
********** Factor found in step 2: 147668611851868658810324482778075801
Found probable prime factor of 36 digits: 147668611851868658810324482778075801
Probable prime cofactor 22901954443464829237690488724952674774172113307515222316314785504936376877185871170914885048443823739100628195923 has 113 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 KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10174+113

c164

name 名前Ignacio Santos
date 日付October 9, 2009 05:37:18 UTC 2009 年 10 月 9 日 (金) 14 時 37 分 18 秒 (日本時間)
composite number 合成数
54642295620824688198326459065548316610303351155710226746068295134663195402219582503829185601603695575758916612449293442593845354571480914637894943713551377259373267<164>
prime factors 素因数
18804671853396239905276877417725760828564252709047581852637<59>
2905782990887764523718537323099507259736355681474055210659402454039634545496153174870499580675672943930991<106>
factorization results 素因数分解の結果
Number: 13337_174
N=54642295620824688198326459065548316610303351155710226746068295134663195402219582503829185601603695575758916612449293442593845354571480914637894943713551377259373267
  ( 164 digits)
SNFS difficulty: 175 digits.
Divisors found:
 r1=18804671853396239905276877417725760828564252709047581852637 (pp59)
 r2=2905782990887764523718537323099507259736355681474055210659402454039634545496153174870499580675672943930991 (pp106)
Version: Msieve-1.40
Total time: 62.16 hours.
Scaled time: 108.10 units (timescale=1.739).
Factorization parameters were as follows:
n: 54642295620824688198326459065548316610303351155710226746068295134663195402219582503829185601603695575758916612449293442593845354571480914637894943713551377259373267
m: 100000000000000000000000000000000000
deg: 5
c5: 2
c0: 55
skew: 1.94
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1109882 x 1110112
Total sieving time: 60.14 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.64 hours.
Time per square root: 0.25 hours.
Prototype def-par.txt line would be:
snfs,175.000,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,52,52,2.5,2.5,100000
total time: 62.16 hours.
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e61000Lionel DebrouxOctober 3, 2009 12:36:54 UTC 2009 年 10 月 3 日 (土) 21 時 36 分 54 秒 (日本時間)

4×10176+113

c132

name 名前Serge Batalov
date 日付August 28, 2008 19:21:51 UTC 2008 年 8 月 29 日 (金) 4 時 21 分 51 秒 (日本時間)
composite number 合成数
854518911096519770413502183952176313256159298772251090871790860637855234332725002957210193372924070193849271350224905342824763257759<132>
prime factors 素因数
1089318090564868475456017418176427<34>
1231627716604690046697182424513253<34>
636923845516948278854619576438453364025839828712022887610324552089<66>
factorization results 素因数分解の結果
#ECM, then gnfs/Msieve
#
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=3838364986
Step 1 took 11629ms
Step 2 took 7041ms
********** Factor found in step 2: 1089318090564868475456017418176427
Found probable prime factor of 34 digits: 1089318090564868475456017418176427
Composite cofactor 784453061505117357864038664345811078914332428946244066627988881633785366535204327880785191069335517 has 99 digits

Number: 13337_176
N=784453061505117357864038664345811078914332428946244066627988881633785366535204327880785191069335517
  ( 99 digits)
Divisors found:
 r1=1231627716604690046697182424513253
 r2=636923845516948278854619576438453364025839828712022887610324552089
Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.951).
Factorization parameters were as follows:
name: 13337_176
n: 784453061505117357864038664345811078914332428946244066627988881633785366535204327880785191069335517
skew: 2513.29
# norm 1.16e+13
c5: 20580
c4: 508307051
c3: 557345214445
c2: -470168275690464
c1: -2589049590718293107
c0: -52486279407165116565
# alpha -4.66
Y1: 5234753843
Y0: -8245613164455536492
# Murphy_E 3.94e-09
# M 675691405801972959220472988772094584688379672974200505104477011633136745725111786358588561469188675
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 [900000, 1400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165902 x 166133
Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000

total time: 2.50 hours.
software ソフトウェア
GMP-ECM 6.2.1+pol51+Msieve 1.37
execution environment 実行環境
Opteron-2.6GHz; Linux x86_64

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10177+113

c141

name 名前Serge Batalov
date 日付August 6, 2008 09:34:23 UTC 2008 年 8 月 6 日 (水) 18 時 34 分 23 秒 (日本時間)
composite number 合成数
768140968175904488179597339978892626492913888106290191988939302712003557451577187236723211446416774882065850654166429053194917771814090579541<141>
prime factors 素因数
1310834231603013835472766122929<31>
585993979754822263932541066661484381757424330937782473588984197513512092586728761605870328163008363244704467429<111>
factorization results 素因数分解の結果
Using B1=1000000, B2=2852890960, polynomial Dickson(6), sigma=3221217056
Step 1 took 4760ms
Step 2 took 4084ms
********** Factor found in step 2: 1310834231603013835472766122929
Found probable prime factor of 31 digits: 1310834231603013835472766122929
Probable prime cofactor 585993979754822263932541066661484381757424330937782473588984197513512092586728761605870328163008363244704467429 has 111 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 KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10179+113

c169

name 名前matsui
date 日付September 9, 2010 00:25:02 UTC 2010 年 9 月 9 日 (木) 9 時 25 分 2 秒 (日本時間)
composite number 合成数
1250177434280420716180227322810870302546202777817309924926154317173860203921141785105702255986608851380725499018163430295598267426264275537763999865149473531824648602941<169>
prime factors 素因数
689119250230013790715193167400819286041570039162236308572687<60>
1814167045635624424978687671607813569942411633838915347016325162944574861095815267778581158284233967489120243<109>
factorization results 素因数分解の結果
N=1250177434280420716180227322810870302546202777817309924926154317173860203921141785105702255986608851380725499018163430295598267426264275537763999865149473531824648602941
  ( 169 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=689119250230013790715193167400819286041570039162236308572687 (pp60)
 r2=1814167045635624424978687671607813569942411633838915347016325162944574861095815267778581158284233967489120243 (pp109)
Version: Msieve v. 1.47
Total time:
Scaled time: 44.97 units (timescale=1.150).
Factorization parameters were as follows:
n: 1250177434280420716180227322810870302546202777817309924926154317173860203921141785105702255986608851380725499018163430295598267426264275537763999865149473531824648602941
m: 200000000000000000000000000000000000
deg: 5
c5: 1250
c0: 11
skew: 0.39
type: snfs
lss: 1
rlim: 6900000
alim: 6900000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 320000
Factor base limits: 6900000/6900000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3450000, 8570001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1298029 x 1298262
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,179.000,5,0,0,0,0,0,0,0,0,6900000,6900000,28,28,53,53,2.5,2.5,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)

4×10182+113

c152

name 名前Dmitry Domanov
date 日付August 4, 2012 12:43:44 UTC 2012 年 8 月 4 日 (土) 21 時 43 分 44 秒 (日本時間)
composite number 合成数
50561857108530417895049150797907982513314064729761601205383050164582665535548646434487490567875111903488037037968080039887160503135193655065105456040087<152>
prime factors 素因数
19383253996532843363780073552752662050842102121913<50>
2608532969622882220471113812706449001133424658403661420800305361730791084697273114487917053010458273999<103>
factorization results 素因数分解の結果
N=50561857108530417895049150797907982513314064729761601205383050164582665535548646434487490567875111903488037037968080039887160503135193655065105456040087
  ( 152 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=19383253996532843363780073552752662050842102121913 (pp50)
 r2=2608532969622882220471113812706449001133424658403661420800305361730791084697273114487917053010458273999 (pp103)
Version: Msieve-1.40
Total time: 153.28 hours.
Scaled time: 292.92 units (timescale=1.911).
Factorization parameters were as follows:
n: 50561857108530417895049150797907982513314064729761601205383050164582665535548646434487490567875111903488037037968080039887160503135193655065105456040087
m: 1000000000000000000000000000000000000
deg: 5
c5: 400
c0: 11
skew: 0.49
# Murphy_E = 9.702e-11
type: snfs
lss: 1
rlim: 7700000
alim: 7700000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 600000
Factor base limits: 7700000/7700000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3850000, 6250001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1185874 x 1186100
Total sieving time: 151.24 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.46 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7700000,7700000,28,28,53,53,2.5,2.5,100000
total time: 153.28 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 KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:07:14 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 14 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 11:07:14 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 14 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2012 09:08:47 UTC 2012 年 7 月 17 日 (火) 18 時 8 分 47 秒 (日本時間)
4511e6432 / 422032Ignacio SantosOctober 5, 2010 11:07:14 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 14 秒 (日本時間)
400Dmitry DomanovJuly 19, 2012 07:14:07 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 7 秒 (日本時間)

4×10183+113

c135

name 名前Robert Backstrom
date 日付June 3, 2012 16:36:52 UTC 2012 年 6 月 4 日 (月) 1 時 36 分 52 秒 (日本時間)
composite number 合成数
337991486142927693932411680813037632332419154813080093903831199951186033798196757174081328042954326129995039750862434322930331722021407<135>
prime factors 素因数
56928666614111495473360797744643924591897479725534921<53>
5937105262520697435331891089771596679121637466012072941900052125972171137261497767<82>
factorization results 素因数分解の結果
Number: n
N=337991486142927693932411680813037632332419154813080093903831199951186033798196757174081328042954326129995039750862434322930331722021407
  ( 135 digits)
Divisors found:

Mon Jun  4 02:24:31 2012  prp53 factor: 56928666614111495473360797744643924591897479725534921
Mon Jun  4 02:24:31 2012  prp82 factor: 5937105262520697435331891089771596679121637466012072941900052125972171137261497767
Mon Jun  4 02:24:31 2012  elapsed time 04:44:04 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.078).
Factorization parameters were as follows:
name: KA_13337_183
n: 337991486142927693932411680813037632332419154813080093903831199951186033798196757174081328042954326129995039750862434322930331722021407
skew: 649111.56
# norm 5.75e+18
c5: 74280
c4: -66913385708
c3: -84539682973269092
c2: 27469709563471387873873
c1: 14937170097658245031991766432
c0: -1269491031545829126223404258797985
# alpha -6.67
Y1: 998981009816581
Y0: -85429465295822670247620422
# Murphy_E 4.09e-11
# M 285070623974958434376490640587825317733423472324780664726886401294757272109215795505170632672762152317316890418100921602091444954194065
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, 14320000)
Primes: RFBsize:1270607, AFBsize:1271883,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 2151963 hash collisions in 24297856 relations (23064939 unique)
Msieve: matrix is 1669196 x 1669421 (482.2 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:
gnfs,134,5,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) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:07:38 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 38 秒 (日本時間)
403e6880110Ignacio SantosOctober 5, 2010 11:07:38 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 38 秒 (日本時間)
770Ignacio SantosJuly 16, 2011 21:33:35 UTC 2011 年 7 月 17 日 (日) 6 時 33 分 35 秒 (日本時間)
4511e6252 / 405732Ignacio SantosOctober 5, 2010 11:07:38 UTC 2010 年 10 月 5 日 (火) 20 時 7 分 38 秒 (日本時間)
220Ignacio SantosJuly 16, 2011 21:33:35 UTC 2011 年 7 月 17 日 (日) 6 時 33 分 35 秒 (日本時間)
5043e661 / 7462Ignacio SantosJuly 16, 2011 21:33:35 UTC 2011 年 7 月 17 日 (日) 6 時 33 分 35 秒 (日本時間)

4×10185+113

c173

name 名前Robert Backstrom
date 日付February 29, 2012 11:54:21 UTC 2012 年 2 月 29 日 (水) 20 時 54 分 21 秒 (日本時間)
composite number 合成数
75383557177339827987374622397173552250140492355723624505594311462876432979570745532672281631869472938835837569127769591096647477225070649261110782202942372409310043516092969<173>
prime factors 素因数
1401805383837947064573358716396891172898038396657096093<55>
53776050546296371504058502040561532416974753820002226433098321008512525607112724431471517577983298001998825582222958333<119>
factorization results 素因数分解の結果
Number: n
N=75383557177339827987374622397173552250140492355723624505594311462876432979570745532672281631869472938835837569127769591096647477225070649261110782202942372409310043516092969
  ( 173 digits)
SNFS difficulty: 185 digits.
Divisors found:

Wed Feb 29 22:51:43 2012  prp55 factor: 1401805383837947064573358716396891172898038396657096093
Wed Feb 29 22:51:43 2012  prp119 factor: 53776050546296371504058502040561532416974753820002226433098321008512525607112724431471517577983298001998825582222958333
Wed Feb 29 22:51:43 2012  elapsed time 03:02:12 (Msieve 1.44 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=1.657).
Factorization parameters were as follows:
name: KA_13337_185
n: 75383557177339827987374622397173552250140492355723624505594311462876432979570745532672281631869472938835837569127769591096647477225070649261110782202942372409310043516092969
m: 10000000000000000000000000000000000000
#  c173, diff: 185.6
skew: 1.22
deg: 5
c5: 4
c0: 11
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 7770669 hash collisions in 76697354 relations (73705617 unique)
Msieve: matrix is 1063721 x 1063969 (293.5 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,185,5,0,0,0,0,0,0,0,0,15000000,15000000,29,29,57,57,2.5,2.5,100000
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 KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:08:08 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 8 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 5, 2010 11:08:08 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 8 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 5, 2010 11:08:08 UTC 2010 年 10 月 5 日 (火) 20 時 8 分 8 秒 (日本時間)

4×10188+113

c131

name 名前Robert Backstrom
date 日付May 7, 2008 21:47:03 UTC 2008 年 5 月 8 日 (木) 6 時 47 分 3 秒 (日本時間)
composite number 合成数
27330365400066732715905852607654836247458944705992630140521483487809698775787591420905618888166865535829013656192903136038328669391<131>
prime factors 素因数
1736857011312162555994210469872451<34>
15735529880735063854034395949750241973639121882661501326917621354847802201149038459287456328343941<98>
factorization results 素因数分解の結果
GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM]
Input number is 27330365400066732715905852607654836247458944705992630140521483487809698775787591420905618888166865535829013656192903136038328669391 (131 digits)
Using B1=1874000, B2=2853761830, polynomial Dickson(6), sigma=593099507
Step 1 took 18610ms
Step 2 took 8428ms
********** Factor found in step 2: 1736857011312162555994210469872451
Found probable prime factor of 34 digits: 1736857011312162555994210469872451
Probable prime cofactor 15735529880735063854034395949750241973639121882661501326917621354847802201149038459287456328343941 has 98 digits

4×10189+113

c125

name 名前Jeff Gilchrist
date 日付January 2, 2010 12:55:07 UTC 2010 年 1 月 2 日 (土) 21 時 55 分 7 秒 (日本時間)
composite number 合成数
15491522938381573906448297533275873383308834950095077807151223147290939991688951864017987014415449626456465487307308089469119<125>
prime factors 素因数
20566764261127019496366144916773951349326627554240383903<56>
753230928389737276294676217628169001114499138691616620668494076661473<69>
factorization results 素因数分解の結果
Sat Jan 02 07:34:36 2010  commencing square root phase
Sat Jan 02 07:34:36 2010  reading relations for dependency 1
Sat Jan 02 07:34:38 2010  read 449728 cycles
Sat Jan 02 07:34:38 2010  cycles contain 1486186 unique relations
Sat Jan 02 07:34:57 2010  read 1486186 relations
Sat Jan 02 07:35:03 2010  multiplying 1486186 relations
Sat Jan 02 07:36:26 2010  multiply complete, coefficients have about 67.68 million bits
Sat Jan 02 07:36:27 2010  initial square root is modulo 72221
Sat Jan 02 07:39:05 2010  sqrtTime: 269
Sat Jan 02 07:39:05 2010  prp56 factor: 20566764261127019496366144916773951349326627554240383903
Sat Jan 02 07:39:05 2010  prp69 factor: 753230928389737276294676217628169001114499138691616620668494076661473
Sat Jan 02 07:39:05 2010  elapsed time 00:04:30
software ソフトウェア
ggnfs + msieve 1.43
execution environment 実行環境
Core 2 Quad @ 3.4GHz, Windows 7 64bit

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336500Erik BrangerMarch 4, 2009 16:24:45 UTC 2009 年 3 月 5 日 (木) 1 時 24 分 45 秒 (日本時間)
1836Wataru SakaiDecember 10, 2009 07:43:28 UTC 2009 年 12 月 10 日 (木) 16 時 43 分 28 秒 (日本時間)

4×10191+113

c177

name 名前Ignacio Santos
date 日付October 5, 2010 11:03:28 UTC 2010 年 10 月 5 日 (火) 20 時 3 分 28 秒 (日本時間)
composite number 合成数
533790998110996091839050951741497955791075993252418023658288404949255235264414690395713113763958393041004465259329381206527594177470904243204920879352160332967570370164891947157<177>
prime factors 素因数
1927228668632126402723586713<28>
composite cofactor 合成数の残り
276973359103183451969534217721596976202830964866617560351493981331639886958018904533133081169900395302188817317493660185047427427933790351956086576989<150>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=988707781
Step 1 took 9734ms
Step 2 took 6614ms
********** Factor found in step 2: 1927228668632126402723586713
Found probable prime factor of 28 digits: 1927228668632126402723586713
Composite cofactor 276973359103183451969534217721596976202830964866617560351493981331639886958018904533133081169900395302188817317493660185047427427933790351956086576989 has 150 digits
software ソフトウェア
GMP-ECM 6.3

c150

name 名前Ignacio Santos
date 日付October 7, 2010 16:27:36 UTC 2010 年 10 月 8 日 (金) 1 時 27 分 36 秒 (日本時間)
composite number 合成数
276973359103183451969534217721596976202830964866617560351493981331639886958018904533133081169900395302188817317493660185047427427933790351956086576989<150>
prime factors 素因数
8517970703086187276057821080070236611<37>
32516354981454901102440837840218298589423799111538055140737297597310433452523832519867069861875087548772937877599<113>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2642167034
Step 1 took 19079ms
Step 2 took 11278ms
********** Factor found in step 2: 8517970703086187276057821080070236611
Found probable prime factor of 37 digits: 8517970703086187276057821080070236611
Probable prime cofactor 32516354981454901102440837840218298589423799111538055140737297597310433452523832519867069861875087548772937877599 has 113 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 15:25:55 UTC 2010 年 10 月 8 日 (金) 0 時 25 分 55 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 7, 2010 15:25:55 UTC 2010 年 10 月 8 日 (金) 0 時 25 分 55 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 7, 2010 15:25:55 UTC 2010 年 10 月 8 日 (金) 0 時 25 分 55 秒 (日本時間)

4×10193+113

c174

composite cofactor 合成数の残り
226131011724938589751435749719608863033945788650306647178447097694980725955239276167789662754839901781191289406503568491113900874475937024171979608252028908748985111187356821<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:09:32 UTC 2010 年 10 月 5 日 (火) 20 時 9 分 32 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 11:09:32 UTC 2010 年 10 月 5 日 (火) 20 時 9 分 32 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2012 09:09:02 UTC 2012 年 7 月 17 日 (火) 18 時 9 分 2 秒 (日本時間)
4511e6432 / 309732Ignacio SantosOctober 5, 2010 11:09:32 UTC 2010 年 10 月 5 日 (火) 20 時 9 分 32 秒 (日本時間)
400Dmitry DomanovJuly 19, 2012 07:14:18 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 18 秒 (日本時間)
5043e6320 / 7413Domanov DmitryJuly 26, 2012 19:25:10 UTC 2012 年 7 月 27 日 (金) 4 時 25 分 10 秒 (日本時間)

4×10194+113

c146

composite cofactor 合成数の残り
18412392676397933404281933295922683198363862191415346319531265090905187100052340176705258669437915603981608301918570569787776612696587694640705227<146>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:10:02 UTC 2010 年 10 月 5 日 (火) 20 時 10 分 2 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 11:10:02 UTC 2010 年 10 月 5 日 (火) 20 時 10 分 2 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2012 09:09:15 UTC 2012 年 7 月 17 日 (火) 18 時 9 分 15 秒 (日本時間)
4511e6432 / 211532Ignacio SantosOctober 5, 2010 11:10:02 UTC 2010 年 10 月 5 日 (火) 20 時 10 分 2 秒 (日本時間)
400Dmitry DomanovJuly 19, 2012 07:14:27 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 27 秒 (日本時間)
5043e6600 / 7413Dmitry DomanovJuly 28, 2012 22:15:46 UTC 2012 年 7 月 29 日 (日) 7 時 15 分 46 秒 (日本時間)

4×10195+113

c165

composite cofactor 合成数の残り
105298703308794893894955567601887950927390312992469597081148811161077463573711533463526171405134301657950857407355672658320573915972601503725867390793566602175151687<165>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 11:12:15 UTC 2010 年 10 月 5 日 (火) 20 時 12 分 15 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 11:12:15 UTC 2010 年 10 月 5 日 (火) 20 時 12 分 15 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2012 09:09:28 UTC 2012 年 7 月 17 日 (火) 18 時 9 分 28 秒 (日本時間)
4511e6432 / 211532Ignacio SantosOctober 5, 2010 11:12:15 UTC 2010 年 10 月 5 日 (火) 20 時 12 分 15 秒 (日本時間)
400Dmitry DomanovJuly 19, 2012 07:14:37 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 37 秒 (日本時間)
5043e6600 / 7413Dmitry DomanovJuly 28, 2012 22:15:10 UTC 2012 年 7 月 29 日 (日) 7 時 15 分 10 秒 (日本時間)

4×10197+113

c177

name 名前Serge Batalov
date 日付October 21, 2008 10:25:02 UTC 2008 年 10 月 21 日 (火) 19 時 25 分 2 秒 (日本時間)
composite number 合成数
552246553104479112819328128620337606746911127166018607981341218453119834846107136570473907024918162986123020143662530877659134990024069506400712072202757417545038116695321340399<177>
prime factors 素因数
145143707113728537226153436432311<33>
composite cofactor 合成数の残り
3804826017512159968793268569143505668827839952767829974171836729047124862981119444455807733568534433006902687070212949433801193366615213429833609<145>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1442437893
Step 1 took 21958ms
Step 2 took 14017ms
********** Factor found in step 2: 145143707113728537226153436432311
Found probable prime factor of 33 digits: 145143707113728537226153436432311
Composite cofactor 3804826017512159968793268569143505668827839952767829974171836729047124862981119444455807733568534433006902687070212949433801193366615213429833609 has 145 digits
software ソフトウェア
GMP-ECM 6.2.1

c145

name 名前Justin Card
date 日付July 6, 2012 19:39:46 UTC 2012 年 7 月 7 日 (土) 4 時 39 分 46 秒 (日本時間)
composite number 合成数
3804826017512159968793268569143505668827839952767829974171836729047124862981119444455807733568534433006902687070212949433801193366615213429833609<145>
prime factors 素因数
290418262337135175698627606217537186134662132873<48>
13101194073998303187951836925673382540925821258566969776310241278733779742927650858694647692325633<98>
factorization results 素因数分解の結果
[2012-07-03 13:53:47 GMT] a: Factor found!  13337_197 / (probable) 290418262337135175698627606217537186134662132873  B1: 3000000 sigma: 4058205321 (found in step 2)
[2012-07-03 13:53:47 GMT] a:    Co-factor:  13337_197 / (Probable) 13101194073998303187951836925673382540925821258566969776310241278733779742927650858694647692325633
software ソフトウェア
GMP-ECM 6.2
execution environment 実行環境
Phenom X4 3.0 GHz, Linux Mint

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 12:06:21 UTC 2010 年 10 月 5 日 (火) 21 時 6 分 21 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 5, 2010 12:06:21 UTC 2010 年 10 月 5 日 (火) 21 時 6 分 21 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 5, 2010 12:06:21 UTC 2010 年 10 月 5 日 (火) 21 時 6 分 21 秒 (日本時間)

4×10200+113

c159

composite cofactor 合成数の残り
255531779151804100197242835785723207286196154818752533096602100692359558084015273987626775273377625967610960685591830594217780846269476989173627101717617885467<159>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaFebruary 18, 2008 09:00:00 UTC 2008 年 2 月 18 日 (月) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 5, 2010 15:29:04 UTC 2010 年 10 月 6 日 (水) 0 時 29 分 4 秒 (日本時間)
403e61110110Ignacio SantosOctober 5, 2010 15:29:04 UTC 2010 年 10 月 6 日 (水) 0 時 29 分 4 秒 (日本時間)
1000Dmitry DomanovJuly 17, 2012 09:09:59 UTC 2012 年 7 月 17 日 (火) 18 時 9 分 59 秒 (日本時間)
4511e6432 / 316732Ignacio SantosOctober 5, 2010 15:29:04 UTC 2010 年 10 月 6 日 (水) 0 時 29 分 4 秒 (日本時間)
400Dmitry DomanovJuly 19, 2012 07:14:48 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 48 秒 (日本時間)
5043e6300 / 7413Domanov DmitryJuly 23, 2012 11:57:06 UTC 2012 年 7 月 23 日 (月) 20 時 57 分 6 秒 (日本時間)

4×10201+113

c117

name 名前Warut Roonguthai
date 日付July 15, 2012 03:13:03 UTC 2012 年 7 月 15 日 (日) 12 時 13 分 3 秒 (日本時間)
composite number 合成数
225547170891794536290090967997188706033640827599876231411401419701423022557766052629022488618696398848556492615059791<117>
prime factors 素因数
3399194090030384560630325118534958521417057149<46>
66353131041651824464352369607893529125989130838952621736956054192112059<71>
factorization results 素因数分解の結果
N = 225547170891794536290090967997188706033640827599876231411401419701423022557766052629022488618696398848556492615059791 (117 digits)
Divisors found:
r1=3399194090030384560630325118534958521417057149 (pp46)
r2=66353131041651824464352369607893529125989130838952621736956054192112059 (pp71)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 6.58 hours.
Factorization parameters were as follows:
n: 225547170891794536290090967997188706033640827599876231411401419701423022557766052629022488618696398848556492615059791
Y0: -33358505848477994568363
Y1: 1376351078899
c0: 431448706389932858304941580500
c1: 7060431422744745890604340
c2: -89279767664825758173
c3: -716791301553271
c4: 3592930069
c5: 5460
skew: 174605.28 
type: gnfs
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 9591792
Relations: 1082214 relations
Pruned matrix : 597800 x 598025
Polynomial selection time: 0.00 hours.
Total sieving time: 6.11 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.33 hours.
time per square root: 0.09 hours.
Prototype def-par.txt line would be: gnfs,116,5,63,2000,2.6e-05,0.28,250,20,50000,3600,3600000,3600000,27,27,53,53,2.5,2.5,100000
total time: 6.58 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
3025e40--
351e6118 / 904Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)

4×10203+113

c198

name 名前Robert Backstrom
date 日付August 8, 2012 12:39:32 UTC 2012 年 8 月 8 日 (水) 21 時 39 分 32 秒 (日本時間)
composite number 合成数
498403240617870497393974055619309636751258156680534736836858913256653994764273957309270424876302545719152265928033064070982589528797116238849785001302078466114186674441757220305446426012661934327897<198>
prime factors 素因数
700803298253648798451619139633200557268907625228671126993901606979<66>
711188491635035643080161239988372988497702059471406820269935559852407703862994551471474309077597169218530821550245993295441572008243<132>
factorization results 素因数分解の結果
Number: n
N=498403240617870497393974055619309636751258156680534736836858913256653994764273957309270424876302545719152265928033064070982589528797116238849785001302078466114186674441757220305446426012661934327897
  ( 198 digits)
SNFS difficulty: 203 digits.
Divisors found:

Wed Aug  8 21:28:58 2012  prp66 factor: 700803298253648798451619139633200557268907625228671126993901606979
Wed Aug  8 21:28:58 2012  prp132 factor: 711188491635035643080161239988372988497702059471406820269935559852407703862994551471474309077597169218530821550245993295441572008243
Wed Aug  8 21:28:58 2012  elapsed time 07:48:03 (Msieve 1.44 - dependency 2)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.100).
Factorization parameters were as follows:
name: KA_13337_203
n: 498403240617870497393974055619309636751258156680534736836858913256653994764273957309270424876302545719152265928033064070982589528797116238849785001302078466114186674441757220305446426012661934327897
m: 20000000000000000000000000000000000000000
#  c198, diff: 203.6
skew: 0.615
deg: 5
c5: 125
c0: 11
# Murphy_E = 1.178e-11
type: snfs
lss: 1
rlim: 17300000
alim: 17300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 17300000/17300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 31450000)
Primes: RFBsize:1109288, AFBsize:1108358,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 7985950 hash collisions in 57633986 relations (51879065 unique)
Msieve: matrix is 2239696 x 2239922 (631.8 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,203,5,0,0,0,0,0,0,0,0,17300000,17300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU1: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU2: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
CPU3: Intel(R) Core(TM)2 Quad  CPU   Q9550  @ 2.83GHz stepping 07
Memory: 8109188k/9175040k available (3972k kernel code, 787464k absent, 278388k reserved, 2498k data, 1292k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 5661.11 BogoMIPS (lpj=2830559)
Calibrating delay using timer specific routine.. 5660.89 BogoMIPS (lpj=2830449)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Calibrating delay using timer specific routine.. 5660.91 BogoMIPS (lpj=2830459)
Total of 4 processors activated (22643.85 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 08:59:41 UTC 2012 年 7 月 17 日 (火) 17 時 59 分 41 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovJuly 19, 2012 07:14:59 UTC 2012 年 7 月 19 日 (木) 16 時 14 分 59 秒 (日本時間)
5043e6300 / 7291Domanov DmitryJuly 27, 2012 10:08:21 UTC 2012 年 7 月 27 日 (金) 19 時 8 分 21 秒 (日本時間)

4×10206+113

c195

name 名前Serge Batalov
date 日付July 14, 2012 03:43:38 UTC 2012 年 7 月 14 日 (土) 12 時 43 分 38 秒 (日本時間)
composite number 合成数
478049681677530634000527191064023145726552113253962040445524358915972325924342054482656758899532375683983041698305110995482886583080270527439600152402390060545857896579046678330146152962009022383<195>
prime factors 素因数
5627815501779772111740479035931<31>
composite cofactor 合成数の残り
84944092699263063395962564996930019089536813993460542635428453963940251821386754953905536878562273319598946265427990231421445019338028361632694675396368761283856893<164>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1860592208
Step 1 took 11129ms
Step 2 took 6744ms
********** Factor found in step 2: 5627815501779772111740479035931
Found probable prime factor of 31 digits: 5627815501779772111740479035931
Composite cofactor 84944092699263063395962564996930019089536813993460542635428453963940251821386754953905536878562273319598946265427990231421445019338028361632694675396368761283856893 has 164 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:00:16 UTC 2012 年 7 月 17 日 (火) 18 時 0 分 16 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:15:18 UTC 2012 年 7 月 19 日 (木) 16 時 15 分 18 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 23, 2012 11:57:20 UTC 2012 年 7 月 23 日 (月) 20 時 57 分 20 秒 (日本時間)

4×10207+113

c201

name 名前Serge Batalov
date 日付July 14, 2012 03:43:15 UTC 2012 年 7 月 14 日 (土) 12 時 43 分 15 秒 (日本時間)
composite number 合成数
361030022263818897954051889581494900766836793038907934726855064768334706601280519334466426058208328944562125188784855079390050608285945886473567954108751810001452243264556211517020173725841563238334601<201>
prime factors 素因数
1193674924256540036615457638959<31>
302452547948663877795311046646706465672811263649850361900045208460729896167680451357736345029572360486275368866095066286440042094321941752597052391979078756946014973872839<171>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=560521717
Step 1 took 11109ms
Step 2 took 6768ms
********** Factor found in step 2: 1193674924256540036615457638959
Found probable prime factor of 31 digits: 1193674924256540036615457638959
Probable prime cofactor 302452547948663877795311046646706465672811263649850361900045208460729896167680451357736345029572360486275368866095066286440042094321941752597052391979078756946014973872839 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)

4×10208+113

c182

name 名前Domanov Dmitry
date 日付July 25, 2012 08:49:06 UTC 2012 年 7 月 25 日 (水) 17 時 49 分 6 秒 (日本時間)
composite number 合成数
56489693601797439882931291006858991495839014867519745607309228981178310303405417451732287298646195712908980067837877293921866756439844020533136347573773183955484710716328009247983627<182>
prime factors 素因数
15754918464987882216282863020043631585157441318523<50>
composite cofactor 合成数の残り
3585527511763031426759635708495357023644315750746318863578933463522019440914963011926016503471846242039302775616759581787430145712049<133>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3948594182
Step 1 took 314388ms
********** Factor found in step 1: 15754918464987882216282863020043631585157441318523
Found probable prime factor of 50 digits: 15754918464987882216282863020043631585157441318523

c133

name 名前Dmitry Domanov
date 日付August 5, 2012 09:08:23 UTC 2012 年 8 月 5 日 (日) 18 時 8 分 23 秒 (日本時間)
composite number 合成数
3585527511763031426759635708495357023644315750746318863578933463522019440914963011926016503471846242039302775616759581787430145712049<133>
prime factors 素因数
404541267606721191862175472309227281274014055022220277<54>
8863193446184426310667579374549399664119706399740570293590977577068097854063437<79>
factorization results 素因数分解の結果
prp79 = 8863193446184426310667579374549399664119706399740570293590977577068097854063437
prp54 = 404541267606721191862175472309227281274014055022220277
NFS elapsed time = 249867.8502 seconds.


Sun Aug  5 05:42:00 2012  commencing relation filtering
Sun Aug  5 05:42:00 2012  estimated available RAM is 2006.1 MB
Sun Aug  5 05:42:00 2012  commencing duplicate removal, pass 1
Sun Aug  5 05:47:03 2012  found 1684369 hash collisions in 13101541 relations
Sun Aug  5 05:47:56 2012  added 79 free relations
Sun Aug  5 05:47:56 2012  commencing duplicate removal, pass 2
Sun Aug  5 05:48:11 2012  found 1346630 duplicates and 11754990 unique relations
Sun Aug  5 05:48:11 2012  memory use: 49.3 MB
Sun Aug  5 05:48:11 2012  reading ideals above 6750208
Sun Aug  5 05:48:16 2012  commencing singleton removal, initial pass
Sun Aug  5 05:53:15 2012  memory use: 344.5 MB
Sun Aug  5 05:53:15 2012  reading all ideals from disk
Sun Aug  5 05:53:15 2012  memory use: 210.3 MB
Sun Aug  5 05:53:18 2012  commencing in-memory singleton removal
Sun Aug  5 05:53:20 2012  begin with 11754990 relations and 11172215 unique ideals
Sun Aug  5 05:53:40 2012  reduce to 6019681 relations and 4648743 ideals in 15 passes
Sun Aug  5 05:53:40 2012  max relations containing the same ideal: 57
Sun Aug  5 05:53:42 2012  reading ideals above 100000
Sun Aug  5 05:53:42 2012  commencing singleton removal, initial pass
Sun Aug  5 05:56:45 2012  memory use: 172.2 MB
Sun Aug  5 05:56:45 2012  reading all ideals from disk
Sun Aug  5 05:56:46 2012  memory use: 228.2 MB
Sun Aug  5 05:56:48 2012  keeping 5536992 ideals with weight <= 200, target excess is 33763
Sun Aug  5 05:56:51 2012  commencing in-memory singleton removal
Sun Aug  5 05:56:53 2012  begin with 6019768 relations and 5536992 unique ideals
Sun Aug  5 05:57:12 2012  reduce to 6018448 relations and 5535283 ideals in 8 passes
Sun Aug  5 05:57:12 2012  max relations containing the same ideal: 200
Sun Aug  5 05:57:24 2012  removing 1293465 relations and 1071465 ideals in 222000 cliques
Sun Aug  5 05:57:27 2012  commencing in-memory singleton removal
Sun Aug  5 05:57:29 2012  begin with 4724983 relations and 5535283 unique ideals
Sun Aug  5 05:57:45 2012  reduce to 4538519 relations and 4269119 ideals in 9 passes
Sun Aug  5 05:57:45 2012  max relations containing the same ideal: 172
Sun Aug  5 05:57:54 2012  removing 984507 relations and 762507 ideals in 222000 cliques
Sun Aug  5 05:57:56 2012  commencing in-memory singleton removal
Sun Aug  5 05:57:58 2012  begin with 3554012 relations and 4269119 unique ideals
Sun Aug  5 05:58:12 2012  reduce to 3393821 relations and 3338898 ideals in 11 passes
Sun Aug  5 05:58:12 2012  max relations containing the same ideal: 141
Sun Aug  5 05:58:19 2012  removing 121740 relations and 105983 ideals in 15757 cliques
Sun Aug  5 05:58:20 2012  commencing in-memory singleton removal
Sun Aug  5 05:58:21 2012  begin with 3272081 relations and 3338898 unique ideals
Sun Aug  5 05:58:28 2012  reduce to 3269178 relations and 3229996 ideals in 6 passes
Sun Aug  5 05:58:28 2012  max relations containing the same ideal: 137
Sun Aug  5 05:58:37 2012  relations with 0 large ideals: 121
Sun Aug  5 05:58:37 2012  relations with 1 large ideals: 71
Sun Aug  5 05:58:37 2012  relations with 2 large ideals: 900
Sun Aug  5 05:58:37 2012  relations with 3 large ideals: 10518
Sun Aug  5 05:58:37 2012  relations with 4 large ideals: 69415
Sun Aug  5 05:58:37 2012  relations with 5 large ideals: 268516
Sun Aug  5 05:58:37 2012  relations with 6 large ideals: 637023
Sun Aug  5 05:58:37 2012  relations with 7+ large ideals: 2282614
Sun Aug  5 05:58:37 2012  commencing 2-way merge
Sun Aug  5 05:58:46 2012  reduce to 2027029 relation sets and 1987847 unique ideals
Sun Aug  5 05:58:46 2012  commencing full merge
Sun Aug  5 06:00:27 2012  memory use: 241.4 MB
Sun Aug  5 06:00:27 2012  found 1045044 cycles, need 1040047
Sun Aug  5 06:00:31 2012  weight of 1040047 cycles is about 73018010 (70.21/cycle)
Sun Aug  5 06:00:31 2012  distribution of cycle lengths:
Sun Aug  5 06:00:31 2012  1 relations: 127496
Sun Aug  5 06:00:31 2012  2 relations: 124424
Sun Aug  5 06:00:31 2012  3 relations: 128624
Sun Aug  5 06:00:31 2012  4 relations: 117755
Sun Aug  5 06:00:31 2012  5 relations: 106040
Sun Aug  5 06:00:31 2012  6 relations: 90869
Sun Aug  5 06:00:31 2012  7 relations: 77425
Sun Aug  5 06:00:31 2012  8 relations: 63369
Sun Aug  5 06:00:31 2012  9 relations: 50660
Sun Aug  5 06:00:31 2012  10+ relations: 153385
Sun Aug  5 06:00:31 2012  heaviest cycle: 21 relations
Sun Aug  5 06:00:32 2012  commencing cycle optimization
Sun Aug  5 06:01:02 2012  start with 5708423 relations
Sun Aug  5 06:01:34 2012  pruned 126382 relations
Sun Aug  5 06:01:34 2012  memory use: 192.7 MB
Sun Aug  5 06:01:34 2012  distribution of cycle lengths:
Sun Aug  5 06:01:34 2012  1 relations: 127496
Sun Aug  5 06:01:34 2012  2 relations: 127135
Sun Aug  5 06:01:34 2012  3 relations: 132836
Sun Aug  5 06:01:34 2012  4 relations: 120244
Sun Aug  5 06:01:34 2012  5 relations: 108199
Sun Aug  5 06:01:34 2012  6 relations: 91769
Sun Aug  5 06:01:34 2012  7 relations: 77890
Sun Aug  5 06:01:34 2012  8 relations: 62808
Sun Aug  5 06:01:34 2012  9 relations: 49774
Sun Aug  5 06:01:34 2012  10+ relations: 141896
Sun Aug  5 06:01:34 2012  heaviest cycle: 21 relations
Sun Aug  5 06:01:38 2012  RelProcTime: 1178
Sun Aug  5 06:01:39 2012
Sun Aug  5 06:01:39 2012  commencing linear algebra
Sun Aug  5 06:01:39 2012  read 1040047 cycles
Sun Aug  5 06:01:49 2012  cycles contain 3239033 unique relations
Sun Aug  5 06:03:09 2012  read 3239033 relations
Sun Aug  5 06:03:19 2012  using 20 quadratic characters above 134217510
Sun Aug  5 06:04:08 2012  building initial matrix
Sun Aug  5 06:06:13 2012  memory use: 431.9 MB
Sun Aug  5 06:06:16 2012  read 1040047 cycles
Sun Aug  5 06:06:17 2012  matrix is 1039870 x 1040047 (317.6 MB) with weight 100138139 (96.28/col)
Sun Aug  5 06:06:17 2012  sparse part has weight 70769864 (68.04/col)
Sun Aug  5 06:07:22 2012  filtering completed in 2 passes
Sun Aug  5 06:07:23 2012  matrix is 1039494 x 1039668 (317.5 MB) with weight 100124299 (96.30/col)
Sun Aug  5 06:07:23 2012  sparse part has weight 70766810 (68.07/col)
Sun Aug  5 06:07:31 2012  matrix starts at (0, 0)
Sun Aug  5 06:07:32 2012  matrix is 1039494 x 1039668 (317.5 MB) with weight 100124299 (96.30/col)
Sun Aug  5 06:07:32 2012  sparse part has weight 70766810 (68.07/col)
Sun Aug  5 06:07:32 2012  saving the first 48 matrix rows for later
Sun Aug  5 06:07:32 2012  matrix includes 64 packed rows
Sun Aug  5 06:07:33 2012  matrix is 1039446 x 1039668 (306.2 MB) with weight 79751168 (76.71/col)
Sun Aug  5 06:07:33 2012  sparse part has weight 69865685 (67.20/col)
Sun Aug  5 06:07:33 2012  using block size 65536 for processor cache size 2048 kB
Sun Aug  5 06:08:21 2012  commencing Lanczos iteration (8 threads)
Sun Aug  5 06:08:21 2012  memory use: 292.0 MB
Sun Aug  5 06:08:35 2012  linear algebra at 0.1%, ETA 2h28m
Sun Aug  5 06:08:39 2012  checkpointing every 430000 dimensions
Sun Aug  5 08:40:02 2012  lanczos halted after 16439 iterations (dim = 1039446)
Sun Aug  5 08:40:07 2012  recovered 31 nontrivial dependencies
Sun Aug  5 08:40:07 2012  BLanczosTime: 9508
Sun Aug  5 08:40:07 2012
Sun Aug  5 08:40:07 2012  commencing square root phase
Sun Aug  5 08:40:07 2012  reading relations for dependency 1
Sun Aug  5 08:40:08 2012  read 520281 cycles
Sun Aug  5 08:40:12 2012  cycles contain 1620166 unique relations
Sun Aug  5 08:40:57 2012  read 1620166 relations
Sun Aug  5 08:41:16 2012  multiplying 1620166 relations
Sun Aug  5 08:45:45 2012  multiply complete, coefficients have about 65.33 million bits
Sun Aug  5 08:45:47 2012  initial square root is modulo 2393709673
Sun Aug  5 08:51:28 2012  sqrtTime: 681

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 20:43:35 UTC 2012 年 7 月 16 日 (月) 5 時 43 分 35 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:15:29 UTC 2012 年 7 月 19 日 (木) 16 時 15 分 29 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 24, 2012 19:34:43 UTC 2012 年 7 月 25 日 (水) 4 時 34 分 43 秒 (日本時間)

4×10209+113

c169

composite cofactor 合成数の残り
2510138745279173339374124935437315221469660444551653435535481665545070417321709346146212472790516240066396149397582223455733234835827887225957692598639615346855095044281<169>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 20:42:31 UTC 2012 年 7 月 16 日 (月) 5 時 42 分 31 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:15:38 UTC 2012 年 7 月 19 日 (木) 16 時 15 分 38 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 23, 2012 11:57:36 UTC 2012 年 7 月 23 日 (月) 20 時 57 分 36 秒 (日本時間)

4×10210+113

c131

name 名前Serge Batalov
date 日付July 14, 2012 05:39:00 UTC 2012 年 7 月 14 日 (土) 14 時 39 分 0 秒 (日本時間)
composite number 合成数
33052953822064921247200224405845866295237851191117295568809631810146331584491699649424864008808343054214279616636291479990807692799<131>
prime factors 素因数
10545214593122696914370468742991<32>
8667240521178395208846107209898146144213399301<46>
361637956258345603804268314071695163300020357491584989<54>
factorization results 素因数分解の結果
Using B1=2000000, B2=5705781910, polynomial Dickson(6), sigma=1387931613
Step 1 took 5520ms
Step 2 took 4232ms
********** Factor found in step 2: 10545214593122696914370468742991
Found probable prime factor of 32 digits: 10545214593122696914370468742991
Composite cofactor 

BLanczosTime: 141
sqrtTime: 139
prp46 factor: 8667240521178395208846107209898146144213399301
prp54 factor: 361637956258345603804268314071695163300020357491584989
software ソフトウェア
GMP-ECM 6.3 + msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)

4×10211+113

c190

name 名前Warut Roonguthai
date 日付July 14, 2012 08:51:13 UTC 2012 年 7 月 14 日 (土) 17 時 51 分 13 秒 (日本時間)
composite number 合成数
2413971984103149917269632042935422569396586577875939824827504470753721554719354098610109621750679547917950339453740580534892669530469195959952361417175537235984836125574313521159227561038279<190>
prime factors 素因数
1463153704167204547313937730984192084021<40>
composite cofactor 合成数の残り
1649841692795447335918515741905601662577617657686970866277314321617787452679775046024244686116476853769600963573931793742955301694575243120850783996299<151>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=263263809
Step 1 took 10498ms
Step 2 took 6552ms
********** Factor found in step 2: 1463153704167204547313937730984192084021
Found probable prime factor of 40 digits: 1463153704167204547313937730984192084021
Composite cofactor 1649841692795447335918515741905601662577617657686970866277314321617787452679775046024244686116476853769600963573931793742955301694575243120850783996299 has 151 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
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:06:00 UTC 2012 年 7 月 17 日 (火) 18 時 6 分 0 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:15:49 UTC 2012 年 7 月 19 日 (木) 16 時 15 分 49 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 23, 2012 11:57:50 UTC 2012 年 7 月 23 日 (月) 20 時 57 分 50 秒 (日本時間)

4×10213+113

c137

name 名前Markus Tervooren
date 日付September 6, 2012 17:31:04 UTC 2012 年 9 月 7 日 (金) 2 時 31 分 4 秒 (日本時間)
composite number 合成数
41750914089153214156319805588756543746139707368261258270517891401499161328758331124905666046258194011659230103851823655606342371113457433<137>
prime factors 素因数
11903547312210095117672717110107898780373631359608904182577<59>
3507434632223211620107139595467238563384698678948086753421380042247682683265129<79>
factorization results 素因数分解の結果
Thu Sep  6 16:59:49 2012  Msieve v. 1.50 (SVN exported)
Thu Sep  6 16:59:49 2012  random seeds: 0d38cce7 8b383d14
Thu Sep  6 16:59:49 2012  factoring 41750914089153214156319805588756543746139707368261258270517891401499161328758331124905666046258194011659230103851823655606342371113457433 (137 digits)
Thu Sep  6 16:59:50 2012  searching for 15-digit factors
Thu Sep  6 16:59:50 2012  commencing number field sieve (137-digit input)
Thu Sep  6 16:59:50 2012  R0: -291608696351373086541885958
Thu Sep  6 16:59:50 2012  R1: 467314490716421
Thu Sep  6 16:59:50 2012  A0: -4406400298798783744915024419009915
Thu Sep  6 16:59:50 2012  A1: -7146217969916104422971022884
Thu Sep  6 16:59:50 2012  A2: 38131725368453268857878
Thu Sep  6 16:59:50 2012  A3: 26037201196749340
Thu Sep  6 16:59:50 2012  A4: -44345989707
Thu Sep  6 16:59:50 2012  A5: 19800
Thu Sep  6 16:59:50 2012  skew 1.00, size 4.339e-13, alpha -7.305, combined = 4.337e-13 rroots = 3
Thu Sep  6 16:59:50 2012
Thu Sep  6 16:59:50 2012  commencing relation filtering
Thu Sep  6 16:59:50 2012  estimated available RAM is 32089.8 MB
Thu Sep  6 16:59:50 2012  commencing duplicate removal, pass 1
Thu Sep  6 17:01:57 2012  error -15 reading relation 13356526
Thu Sep  6 17:02:05 2012  error -15 reading relation 14146668
Thu Sep  6 17:02:13 2012  error -11 reading relation 14930891
Thu Sep  6 17:02:20 2012  error -15 reading relation 15720528
Thu Sep  6 17:02:24 2012  error -15 reading relation 16095492
Thu Sep  6 17:02:27 2012  error -11 reading relation 16466305
Thu Sep  6 17:02:31 2012  error -15 reading relation 16797509
Thu Sep  6 17:02:34 2012  error -9 reading relation 17122829
Thu Sep  6 17:02:34 2012  error -15 reading relation 17169081
Thu Sep  6 17:02:35 2012  error -15 reading relation 17214305
Thu Sep  6 17:03:40 2012  found 3585552 hash collisions in 24067083 relations
Thu Sep  6 17:04:05 2012  added 121228 free relations
Thu Sep  6 17:04:05 2012  commencing duplicate removal, pass 2
Thu Sep  6 17:05:03 2012  found 3186848 duplicates and 21001463 unique relations
Thu Sep  6 17:05:03 2012  memory use: 106.6 MB
Thu Sep  6 17:05:03 2012  reading ideals above 720000
Thu Sep  6 17:05:03 2012  commencing singleton removal, initial pass
Thu Sep  6 17:08:56 2012  memory use: 689.0 MB
Thu Sep  6 17:08:56 2012  reading all ideals from disk
Thu Sep  6 17:08:58 2012  memory use: 666.4 MB
Thu Sep  6 17:08:59 2012  keeping 21826919 ideals with weight <= 200, target excess is 132590
Thu Sep  6 17:09:01 2012  commencing in-memory singleton removal
Thu Sep  6 17:09:02 2012  begin with 21001463 relations and 21826919 unique ideals
Thu Sep  6 17:09:14 2012  reduce to 9839516 relations and 9006983 ideals in 16 passes
Thu Sep  6 17:09:14 2012  max relations containing the same ideal: 123
Thu Sep  6 17:09:17 2012  removing 2075751 relations and 1736387 ideals in 339364 cliques
Thu Sep  6 17:09:18 2012  commencing in-memory singleton removal
Thu Sep  6 17:09:18 2012  begin with 7763765 relations and 9006983 unique ideals
Thu Sep  6 17:09:24 2012  reduce to 7474275 relations and 6968961 ideals in 12 passes
Thu Sep  6 17:09:24 2012  max relations containing the same ideal: 98
Thu Sep  6 17:09:26 2012  removing 1563398 relations and 1224034 ideals in 339364 cliques
Thu Sep  6 17:09:27 2012  commencing in-memory singleton removal
Thu Sep  6 17:09:27 2012  begin with 5910877 relations and 6968961 unique ideals
Thu Sep  6 17:09:31 2012  reduce to 5678615 relations and 5502500 ideals in 10 passes
Thu Sep  6 17:09:31 2012  max relations containing the same ideal: 84
Thu Sep  6 17:09:33 2012  removing 175382 relations and 153072 ideals in 22310 cliques
Thu Sep  6 17:09:33 2012  commencing in-memory singleton removal
Thu Sep  6 17:09:33 2012  begin with 5503233 relations and 5502500 unique ideals
Thu Sep  6 17:09:35 2012  reduce to 5499757 relations and 5345936 ideals in 6 passes
Thu Sep  6 17:09:35 2012  max relations containing the same ideal: 81
Thu Sep  6 17:09:36 2012  relations with 0 large ideals: 556
Thu Sep  6 17:09:36 2012  relations with 1 large ideals: 2506
Thu Sep  6 17:09:36 2012  relations with 2 large ideals: 31983
Thu Sep  6 17:09:36 2012  relations with 3 large ideals: 195915
Thu Sep  6 17:09:36 2012  relations with 4 large ideals: 659655
Thu Sep  6 17:09:36 2012  relations with 5 large ideals: 1292335
Thu Sep  6 17:09:36 2012  relations with 6 large ideals: 1547324
Thu Sep  6 17:09:36 2012  relations with 7+ large ideals: 1769483
Thu Sep  6 17:09:36 2012  commencing 2-way merge
Thu Sep  6 17:09:38 2012  reduce to 3420660 relation sets and 3266839 unique ideals
Thu Sep  6 17:09:38 2012  commencing full merge
Thu Sep  6 17:10:15 2012  memory use: 385.0 MB
Thu Sep  6 17:10:15 2012  found 1761360 cycles, need 1741039
Thu Sep  6 17:10:16 2012  weight of 1741039 cycles is about 121901562 (70.02/cycle)
Thu Sep  6 17:10:16 2012  distribution of cycle lengths:
Thu Sep  6 17:10:16 2012  1 relations: 214013
Thu Sep  6 17:10:16 2012  2 relations: 208076
Thu Sep  6 17:10:16 2012  3 relations: 202733
Thu Sep  6 17:10:16 2012  4 relations: 185120
Thu Sep  6 17:10:16 2012  5 relations: 167730
Thu Sep  6 17:10:16 2012  6 relations: 145662
Thu Sep  6 17:10:16 2012  7 relations: 125306
Thu Sep  6 17:10:16 2012  8 relations: 105368
Thu Sep  6 17:10:16 2012  9 relations: 88278
Thu Sep  6 17:10:16 2012  10+ relations: 298753
Thu Sep  6 17:10:16 2012  heaviest cycle: 21 relations
Thu Sep  6 17:10:16 2012  commencing cycle optimization
Thu Sep  6 17:10:18 2012  start with 9942013 relations
Thu Sep  6 17:10:28 2012  pruned 248893 relations
Thu Sep  6 17:10:28 2012  memory use: 325.5 MB
Thu Sep  6 17:10:28 2012  distribution of cycle lengths:
Thu Sep  6 17:10:28 2012  1 relations: 214013
Thu Sep  6 17:10:28 2012  2 relations: 212766
Thu Sep  6 17:10:28 2012  3 relations: 209933
Thu Sep  6 17:10:28 2012  4 relations: 189672
Thu Sep  6 17:10:28 2012  5 relations: 171770
Thu Sep  6 17:10:28 2012  6 relations: 147745
Thu Sep  6 17:10:28 2012  7 relations: 126727
Thu Sep  6 17:10:28 2012  8 relations: 105133
Thu Sep  6 17:10:28 2012  9 relations: 87294
Thu Sep  6 17:10:28 2012  10+ relations: 275986
Thu Sep  6 17:10:28 2012  heaviest cycle: 21 relations
Thu Sep  6 17:10:30 2012  RelProcTime: 640
Thu Sep  6 17:10:30 2012
Thu Sep  6 17:10:30 2012  commencing linear algebra
Thu Sep  6 17:10:31 2012  read 1741039 cycles
Thu Sep  6 17:10:33 2012  cycles contain 5390475 unique relations
Thu Sep  6 17:12:06 2012  read 5390475 relations
Thu Sep  6 17:12:11 2012  using 20 quadratic characters above 268433324
Thu Sep  6 17:12:30 2012  building initial matrix
Thu Sep  6 17:13:09 2012  memory use: 723.5 MB
Thu Sep  6 17:13:10 2012  read 1741039 cycles
Thu Sep  6 17:13:10 2012  matrix is 1740861 x 1741039 (526.4 MB) with weight 168715772 (96.91/col)
Thu Sep  6 17:13:10 2012  sparse part has weight 117104816 (67.26/col)
Thu Sep  6 17:13:20 2012  filtering completed in 2 passes
Thu Sep  6 17:13:21 2012  matrix is 1739701 x 1739879 (526.3 MB) with weight 168667369 (96.94/col)
Thu Sep  6 17:13:21 2012  sparse part has weight 117092505 (67.30/col)
Thu Sep  6 17:13:26 2012  matrix starts at (0, 0)
Thu Sep  6 17:13:26 2012  matrix is 1739701 x 1739879 (526.3 MB) with weight 168667369 (96.94/col)
Thu Sep  6 17:13:26 2012  sparse part has weight 117092505 (67.30/col)
Thu Sep  6 17:13:26 2012  saving the first 48 matrix rows for later
Thu Sep  6 17:13:27 2012  matrix includes 64 packed rows
Thu Sep  6 17:13:27 2012  matrix is 1739653 x 1739879 (508.3 MB) with weight 134180598 (77.12/col)
Thu Sep  6 17:13:27 2012  sparse part has weight 115835954 (66.58/col)
Thu Sep  6 17:13:27 2012  using block size 65536 for processor cache size 8192 kB
Thu Sep  6 17:13:31 2012  commencing Lanczos iteration (4 threads)
Thu Sep  6 17:13:31 2012  memory use: 440.4 MB
Thu Sep  6 17:13:37 2012  linear algebra at 0.1%, ETA 1h54m
Thu Sep  6 17:13:39 2012  checkpointing every 910000 dimensions
Thu Sep  6 19:04:21 2012  lanczos halted after 27511 iterations (dim = 1739653)
Thu Sep  6 19:04:22 2012  recovered 32 nontrivial dependencies
Thu Sep  6 19:04:22 2012  BLanczosTime: 6832
Thu Sep  6 19:04:22 2012
Thu Sep  6 19:04:22 2012  commencing square root phase
Thu Sep  6 19:04:22 2012  reading relations for dependency 1
Thu Sep  6 19:04:23 2012  read 869251 cycles
Thu Sep  6 19:04:24 2012  cycles contain 2694826 unique relations
Thu Sep  6 19:06:22 2012  read 2694826 relations
Thu Sep  6 19:06:31 2012  multiplying 2694826 relations
Thu Sep  6 19:08:19 2012  multiply complete, coefficients have about 126.82 million bits
Thu Sep  6 19:08:19 2012  initial square root is modulo 1266223073
Thu Sep  6 19:10:33 2012  GCD is 1, no factor found
Thu Sep  6 19:10:33 2012  reading relations for dependency 2
Thu Sep  6 19:10:33 2012  read 869216 cycles
Thu Sep  6 19:10:34 2012  cycles contain 2692600 unique relations
Thu Sep  6 19:12:30 2012  read 2692600 relations
Thu Sep  6 19:12:38 2012  multiplying 2692600 relations
Thu Sep  6 19:14:25 2012  multiply complete, coefficients have about 126.71 million bits
Thu Sep  6 19:14:26 2012  initial square root is modulo 1244002849
Thu Sep  6 19:16:40 2012  GCD is N, no factor found
Thu Sep  6 19:16:40 2012  reading relations for dependency 3
Thu Sep  6 19:16:40 2012  read 868877 cycles
Thu Sep  6 19:16:41 2012  cycles contain 2692734 unique relations
Thu Sep  6 19:18:37 2012  read 2692734 relations
Thu Sep  6 19:18:46 2012  multiplying 2692734 relations
Thu Sep  6 19:20:33 2012  multiply complete, coefficients have about 126.72 million bits
Thu Sep  6 19:20:33 2012  initial square root is modulo 1245401837
Thu Sep  6 19:22:47 2012  sqrtTime: 1105
Thu Sep  6 19:22:47 2012  prp59 factor: 11903547312210095117672717110107898780373631359608904182577
Thu Sep  6 19:22:47 2012  prp79 factor: 3507434632223211620107139595467238563384698678948086753421380042247682683265129
Thu Sep  6 19:22:47 2012  elapsed time 02:22:58

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 14, 2012 19:57:32 UTC 2012 年 7 月 15 日 (日) 4 時 57 分 32 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:15:59 UTC 2012 年 7 月 19 日 (木) 16 時 15 分 59 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 23, 2012 11:58:05 UTC 2012 年 7 月 23 日 (月) 20 時 58 分 5 秒 (日本時間)

4×10214+113

c207

composite cofactor 合成数の残り
407821664724568921540178891177142264519718060240704299042902706586983615061127318793695733656238371028952514030416175789571035534755699070718183229522838354775220066432721807805741327669750746637354892336253<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:07:26 UTC 2012 年 7 月 17 日 (火) 18 時 7 分 26 秒 (日本時間)
4511e61000 / 1658Dmitry DomanovJuly 19, 2012 07:16:09 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 9 秒 (日本時間)
5043e6740 / 7291300Domanov DmitryJuly 27, 2012 10:08:43 UTC 2012 年 7 月 27 日 (金) 19 時 8 分 43 秒 (日本時間)
440Domanov DmitryAugust 2, 2012 19:42:37 UTC 2012 年 8 月 3 日 (金) 4 時 42 分 37 秒 (日本時間)

4×10216+113

c173

name 名前Dmitry Domanov
date 日付July 18, 2012 07:19:55 UTC 2012 年 7 月 18 日 (水) 16 時 19 分 55 秒 (日本時間)
composite number 合成数
29676149903975418472667961378968254180727988840008824415241285535788407055323431373824673310393384514690200718209246794230129059481000464871526017080765607524411913669414397<173>
prime factors 素因数
139948016574413825598286408267536564492407291<45>
212051236097339577312404986417941021150294765994523348503749473459676641728346990471798890281530920469220273553514885521426404967<129>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2861127390
Step 1 took 99720ms
Step 2 took 34137ms
********** Factor found in step 2: 139948016574413825598286408267536564492407291
Found probable prime factor of 45 digits: 139948016574413825598286408267536564492407291

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJuly 15, 2012 20:42:53 UTC 2012 年 7 月 16 日 (月) 5 時 42 分 53 秒 (日本時間)

4×10217+113

c194

composite cofactor 合成数の残り
13579371439848494578704841615664347249515052817869398622197476754416039151868640718829639193349304152163917349449475237281006594786576948262081864945747039297680758489679011181758895369609511967<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:06:20 UTC 2012 年 7 月 17 日 (火) 18 時 6 分 20 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:16:19 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 19 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 27, 2012 10:08:59 UTC 2012 年 7 月 27 日 (金) 19 時 8 分 59 秒 (日本時間)

4×10218+113

c183

composite cofactor 合成数の残り
172198715507721530008502568833036725859663793271195321672156787282659620736985083236005410584327352906318211991374023648081692624728484819489862291213251279847727099498162690020386827<183>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 20:43:19 UTC 2012 年 7 月 16 日 (月) 5 時 43 分 19 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:16:29 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 29 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 24, 2012 19:35:08 UTC 2012 年 7 月 25 日 (水) 4 時 35 分 8 秒 (日本時間)

4×10219+113

c194

composite cofactor 合成数の残り
19722027155533163558983803273934135092748706337843578197373670088987292492687782855131258683405503908219803084107979118742367713177597025926266279617036708205738047594535370893195466408628747683<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:22:47 UTC 2012 年 7 月 15 日 (日) 19 時 22 分 47 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:16:37 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 37 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 27, 2012 10:09:20 UTC 2012 年 7 月 27 日 (金) 19 時 9 分 20 秒 (日本時間)

4×10220+113

c196

composite cofactor 合成数の残り
5238823944095723199686500026233790512276787091774162725009136437620987860912441104028780724657854873152263110331939838724913206983539412826425523421640713700781323105686682778068998672643805670999<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:22:32 UTC 2012 年 7 月 15 日 (日) 19 時 22 分 32 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovJuly 19, 2012 07:16:48 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 48 秒 (日本時間)
5043e6300 / 7291Domanov DmitryJuly 27, 2012 10:09:47 UTC 2012 年 7 月 27 日 (金) 19 時 9 分 47 秒 (日本時間)

4×10221+113

c206

name 名前Dmitry Domanov
date 日付July 28, 2012 21:59:59 UTC 2012 年 7 月 29 日 (日) 6 時 59 分 59 秒 (日本時間)
composite number 合成数
66801626095872511392048228968836086544985483267568391290892998365337895026461126909642402924129823433967509082225861025185902825380555120700146076697605718281849247170934002517216154591876448157057803013869<206>
prime factors 素因数
281800529050277180581708600993666647510869968962586939<54>
composite cofactor 合成数の残り
237052876802634253030904228106155840778415703030018731473816002740963337198109659473352391780022203388088381023121680104784366055108981917607715863610871<153>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=978833973
Step 1 took 398003ms
Step 2 took 134770ms
********** Factor found in step 2: 281800529050277180581708600993666647510869968962586939
Found probable prime factor of 54 digits: 281800529050277180581708600993666647510869968962586939

c153

name 名前Erik Branger
date 日付September 19, 2017 06:17:40 UTC 2017 年 9 月 19 日 (火) 15 時 17 分 40 秒 (日本時間)
composite number 合成数
237052876802634253030904228106155840778415703030018731473816002740963337198109659473352391780022203388088381023121680104784366055108981917607715863610871<153>
prime factors 素因数
92578879978086800024295416237842476139794670935901039777<56>
2560550277328307528734904352474509613945546340386271022792538606966230575220837198399037075248023<97>
factorization results 素因数分解の結果
Number: 13337_221
N = 237052876802634253030904228106155840778415703030018731473816002740963337198109659473352391780022203388088381023121680104784366055108981917607715863610871 (153 digits)
SNFS difficulty: 222 digits.
Divisors found:
r1=92578879978086800024295416237842476139794670935901039777 (pp56)
r2=2560550277328307528734904352474509613945546340386271022792538606966230575220837198399037075248023 (pp97)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 81.77 hours.
Factorization parameters were as follows:
n: 237052876802634253030904228106155840778415703030018731473816002740963337198109659473352391780022203388088381023121680104784366055108981917607715863610871
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 40
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 25064399
Relations: 7858252 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 45.31 hours.
Total relation processing time: 0.30 hours.
Pruned matrix : 6899393 x 6899618
Matrix solve time: 35.95 hours.
time per square root: 0.21 hours.
Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,67108864,29,27,58,54,2.8,2.8,100000
total time: 81.77 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-8-6.2.9200
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:22:20 UTC 2012 年 7 月 15 日 (日) 19 時 22 分 20 秒 (日本時間)
4511e632021000Dmitry DomanovJuly 19, 2012 07:16:59 UTC 2012 年 7 月 19 日 (木) 16 時 16 分 59 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:35 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 35 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:30 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 30 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:31 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 31 秒 (日本時間)
52KTakahashiMay 25, 2014 10:10:05 UTC 2014 年 5 月 25 日 (日) 19 時 10 分 5 秒 (日本時間)
5043e6300 / 6796Domanov DmitryJuly 27, 2012 10:10:13 UTC 2012 年 7 月 27 日 (金) 19 時 10 分 13 秒 (日本時間)

4×10223+113

c189

composite cofactor 合成数の残り
124919153917992020975256685260975272574558729415385346663421944193426916152905743847452081028123601461757524811376057102516141200139366685438264113843970690931004804156152342893031243635413<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:22:04 UTC 2012 年 7 月 15 日 (日) 19 時 22 分 4 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:17:09 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 9 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 24, 2012 19:35:26 UTC 2012 年 7 月 25 日 (水) 4 時 35 分 26 秒 (日本時間)

4×10225+113

c213

composite cofactor 合成数の残り
349829982282615677678805597167524892093866480426225385328177616137039929574089363223340048157591227783633520160146730993346111335059606441720308424002985006382046042373823459164545611339434754634121615758296410399<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:21:50 UTC 2012 年 7 月 15 日 (日) 19 時 21 分 50 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovJuly 19, 2012 07:17:18 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 18 秒 (日本時間)
5043e6300 / 7291Domanov DmitryJuly 27, 2012 10:10:35 UTC 2012 年 7 月 27 日 (金) 19 時 10 分 35 秒 (日本時間)

4×10226+113

c205

name 名前Warut Roonguthai
date 日付July 14, 2012 14:04:57 UTC 2012 年 7 月 14 日 (土) 23 時 4 分 57 秒 (日本時間)
composite number 合成数
2873153495485460551490878846502562348585005372663119561094797826753372495284549289351115166027082716079404589371190797410005653394320343088277256060026146760620002329983612168338929667391900484571795084387<205>
prime factors 素因数
32068216985742256977227684920108207<35>
composite cofactor 合成数の残り
89595049726739835476579266959737882500283166324511428107914152663651377230650802489218636306382873937444633206910187549373311193376462989921271144998170848022639416729741<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=383142201
Step 1 took 12012ms
Step 2 took 7301ms
********** Factor found in step 2: 32068216985742256977227684920108207
Found probable prime factor of 35 digits: 32068216985742256977227684920108207
Composite cofactor 89595049726739835476579266959737882500283166324511428107914152663651377230650802489218636306382873937444633206910187549373311193376462989921271144998170848022639416729741 has 170 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
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:06:48 UTC 2012 年 7 月 17 日 (火) 18 時 6 分 48 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 07:17:28 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 28 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 23, 2012 11:58:22 UTC 2012 年 7 月 23 日 (月) 20 時 58 分 22 秒 (日本時間)

4×10227+113

c211

composite cofactor 合成数の残り
2207775400080628402748183203645165355946543005318990810610557591920325995904885288199416966414696872863531929375041521577263785659933670973839158527761550698903581958718505953058481928975857291446055673616011727<211>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:21:36 UTC 2012 年 7 月 15 日 (日) 19 時 21 分 36 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovJuly 19, 2012 07:17:40 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 40 秒 (日本時間)
5043e6300 / 7291Domanov DmitryJuly 27, 2012 10:10:52 UTC 2012 年 7 月 27 日 (金) 19 時 10 分 52 秒 (日本時間)

4×10228+113

c221

composite cofactor 合成数の残り
15227663331545719865684852414000924296322729827877267272014251235103400345216457408307510357028593923745854121139998153417406100108280487726372016177915206424167422463184259191823975186157137326292381589756554927557836959<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:21:24 UTC 2012 年 7 月 15 日 (日) 19 時 21 分 24 秒 (日本時間)
4511e61000 / 1518Dmitry DomanovJuly 19, 2012 07:17:49 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 49 秒 (日本時間)
5043e6780 / 7291300Domanov DmitryJuly 27, 2012 10:11:06 UTC 2012 年 7 月 27 日 (金) 19 時 11 分 6 秒 (日本時間)
480Domanov DmitryAugust 2, 2012 19:37:34 UTC 2012 年 8 月 3 日 (金) 4 時 37 分 34 秒 (日本時間)

4×10232+113

c222

composite cofactor 合成数の残り
270975496095718178887649756536670071955366309801699523413933079730917671227024099116248840723226051598979065412700642487703606177358508042909121254961741523749519255030634239035471011329667702459939222589074848685714878827<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:21:10 UTC 2012 年 7 月 15 日 (日) 19 時 21 分 10 秒 (日本時間)
4511e61000 / 1798Dmitry DomanovJuly 19, 2012 07:17:59 UTC 2012 年 7 月 19 日 (木) 16 時 17 分 59 秒 (日本時間)
5043e6700 / 7291300Domanov DmitryJuly 27, 2012 10:11:20 UTC 2012 年 7 月 27 日 (金) 19 時 11 分 20 秒 (日本時間)
400Domanov DmitryAugust 2, 2012 19:43:21 UTC 2012 年 8 月 3 日 (金) 4 時 43 分 21 秒 (日本時間)

4×10233+113

c144

composite cofactor 合成数の残り
720105974850319982416813772390826925757574925593667389544505481706415643530558601809084643721448084284432462955036148269456295588328438523679211<144>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:20:52 UTC 2012 年 7 月 15 日 (日) 19 時 20 分 52 秒 (日本時間)
4511e63450400Dmitry DomanovJuly 19, 2012 07:18:10 UTC 2012 年 7 月 19 日 (木) 16 時 18 分 10 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:58 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:24:11 UTC 2014 年 1 月 6 日 (月) 11 時 24 分 11 秒 (日本時間)
1800Serge BatalovMay 24, 2014 17:35:54 UTC 2014 年 5 月 25 日 (日) 2 時 35 分 54 秒 (日本時間)
5043e6300 / 6741Domanov DmitryJuly 23, 2012 11:58:38 UTC 2012 年 7 月 23 日 (月) 20 時 58 分 38 秒 (日本時間)

4×10234+113

c197

composite cofactor 合成数の残り
14133946653948333245483907820539891479093669776180164286483456318642122779005768332125231100957687258937446633157539027428223795827908975519607240659745947995127163617640233304644846746601202081089<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:20:40 UTC 2012 年 7 月 15 日 (日) 19 時 20 分 40 秒 (日本時間)
4511e61000 / 3202Dmitry DomanovJuly 19, 2012 07:18:20 UTC 2012 年 7 月 19 日 (木) 16 時 18 分 20 秒 (日本時間)
5043e6300 / 7291Domanov DmitryJuly 27, 2012 10:11:39 UTC 2012 年 7 月 27 日 (金) 19 時 11 分 39 秒 (日本時間)

4×10236+113

c189

composite cofactor 合成数の残り
135197999871184380114175050053650100485276709107512197059811880402515627561353959296385844912002435986602988324126120571518989921505492021100112265029762684220424881410799776059250053688639<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:20:27 UTC 2012 年 7 月 15 日 (日) 19 時 20 分 27 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 08:28:42 UTC 2012 年 7 月 19 日 (木) 17 時 28 分 42 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 24, 2012 19:35:59 UTC 2012 年 7 月 25 日 (水) 4 時 35 分 59 秒 (日本時間)

4×10238+113

c218

composite cofactor 合成数の残り
13791608502896773921271543481365869072515474922352985002288580639567376436026058376364041477303257441029242707017493342220006809694539135470504986444631339495791396951068112776106512473547236383800833698361346398998749<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:20:04 UTC 2012 年 7 月 15 日 (日) 19 時 20 分 4 秒 (日本時間)
4511e61000 / 2851Dmitry DomanovJuly 19, 2012 08:28:52 UTC 2012 年 7 月 19 日 (木) 17 時 28 分 52 秒 (日本時間)
5043e6400 / 7291Domanov DmitryAugust 2, 2012 19:40:31 UTC 2012 年 8 月 3 日 (金) 4 時 40 分 31 秒 (日本時間)

4×10240+113

c213

name 名前Dmitry Domanov
date 日付July 16, 2012 07:04:28 UTC 2012 年 7 月 16 日 (月) 16 時 4 分 28 秒 (日本時間)
composite number 合成数
975585969639741821473347654903542362299355441136843848659159228310900751493410396988282170171840882437439978218894664470938141732888986962205519711307570218832282635863569476628058342892726462794217014492345115747<213>
prime factors 素因数
31804832226380049245660277297608010749<38>
composite cofactor 合成数の残り
30674142931983663173019239971410062019885065853762419928167983862151109065857254994245281329222838580921984994100610147656683246386917788799928391505730696142329345514175041503<176>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3060895074
Step 1 took 31123ms
Step 2 took 11007ms
********** Factor found in step 2: 31804832226380049245660277297608010749
Found probable prime factor of 38 digits: 31804832226380049245660277297608010749

c176

name 名前Dmitry Domanov
date 日付July 18, 2012 07:19:15 UTC 2012 年 7 月 18 日 (水) 16 時 19 分 15 秒 (日本時間)
composite number 合成数
30674142931983663173019239971410062019885065853762419928167983862151109065857254994245281329222838580921984994100610147656683246386917788799928391505730696142329345514175041503<176>
prime factors 素因数
17894204406663445506055405058023382029<38>
1714194285193323429726885850737094057341336062759642238505805565450713551413498615788965548378862521435570344365528770513036536820952343707<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2087911905
Step 1 took 118034ms
Step 2 took 37302ms
********** Factor found in step 2: 17894204406663445506055405058023382029
Found probable prime factor of 38 digits: 17894204406663445506055405058023382029

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJuly 15, 2012 10:19:51 UTC 2012 年 7 月 15 日 (日) 19 時 19 分 51 秒 (日本時間)

4×10241+113

c153

composite cofactor 合成数の残り
370869891647059679741911212538863548511248863058907646484003243404477859271054066806370239676293883847006739239614616591340157705448920857856504003826823<153>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:19:36 UTC 2012 年 7 月 15 日 (日) 19 時 19 分 36 秒 (日本時間)
4511e63250400Dmitry DomanovJuly 19, 2012 08:29:00 UTC 2012 年 7 月 19 日 (木) 17 時 29 分 0 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:37 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 37 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:32 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 32 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:33 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 33 秒 (日本時間)
700Ignacio SantosDecember 25, 2015 10:13:39 UTC 2015 年 12 月 25 日 (金) 19 時 13 分 39 秒 (日本時間)
5043e6300 / 6786Domanov DmitryJuly 23, 2012 11:58:51 UTC 2012 年 7 月 23 日 (月) 20 時 58 分 51 秒 (日本時間)

4×10243+113

c218

name 名前Warut Roonguthai
date 日付July 14, 2012 14:53:18 UTC 2012 年 7 月 14 日 (土) 23 時 53 分 18 秒 (日本時間)
composite number 合成数
87976394584098352107360554349278616006261844338129379434521996444175697790406934690196517937946593482842550120178791618870464319050769223052559415976691183583346467243405977890764076737167476479348131539787042426083339<218>
prime factors 素因数
57824763496438926430512201978340063<35>
composite cofactor 合成数の残り
1521431118166463063010355637593105617442261851117928371431275529977946971397695560650423775139266240596889490592652598637661321882381652609624800501345379481653447851474758515345620053<184>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=245583845
Step 1 took 6864ms
Step 2 took 4243ms
********** Factor found in step 2: 57824763496438926430512201978340063
Found probable prime factor of 35 digits: 57824763496438926430512201978340063
Composite cofactor 1521431118166463063010355637593105617442261851117928371431275529977946971397695560650423775139266240596889490592652598637661321882381652609624800501345379481653447851474758515345620053 has 184 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
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 17, 2012 09:08:11 UTC 2012 年 7 月 17 日 (火) 18 時 8 分 11 秒 (日本時間)
4511e6400 / 3202Dmitry DomanovJuly 19, 2012 08:29:11 UTC 2012 年 7 月 19 日 (木) 17 時 29 分 11 秒 (日本時間)
5043e6300 / 7425Domanov DmitryJuly 24, 2012 19:36:15 UTC 2012 年 7 月 25 日 (水) 4 時 36 分 15 秒 (日本時間)

4×10244+113

c228

name 名前Warut Roonguthai
date 日付July 14, 2012 10:50:03 UTC 2012 年 7 月 14 日 (土) 19 時 50 分 3 秒 (日本時間)
composite number 合成数
136990844796817452607620609898825640129754489410342452938200169683174010018787399219813150864547547618621485222513043338958301151183094519210634423056029810444794607849154653966162059381922625137226746009902499061188543167333223<228>
prime factors 素因数
216563118553351092333076673978309539<36>
632567750741312270726717616322554859781346618012408035549605240260493193884772588550123646765921588586261200599273584638566961527184570564602829830675211300144727387178241047772739098502280557<192>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1541758349
Step 1 took 11434ms
Step 2 took 6131ms
********** Factor found in step 2: 216563118553351092333076673978309539
Found probable prime factor of 36 digits: 216563118553351092333076673978309539
Probable prime cofactor 632567750741312270726717616322554859781346618012408035549605240260493193884772588550123646765921588586261200599273584638566961527184570564602829830675211300144727387178241047772739098502280557 has 192 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)

4×10247+113

c197

composite cofactor 合成数の残り
11162485547718551151671588672738724081728623874978694113100590894328193678329901462698245483843379557713978560735996508118585462169474746177781332233144604672353134242983311156853408564523596066577<197>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:19:19 UTC 2012 年 7 月 15 日 (日) 19 時 19 分 19 秒 (日本時間)
4511e61000 / 2570Dmitry DomanovJuly 19, 2012 08:29:20 UTC 2012 年 7 月 19 日 (木) 17 時 29 分 20 秒 (日本時間)
5043e6480 / 7291Domanov DmitryAugust 2, 2012 19:39:37 UTC 2012 年 8 月 3 日 (金) 4 時 39 分 37 秒 (日本時間)

4×10248+113

c226

name 名前Dmitry Domanov
date 日付July 16, 2012 09:14:02 UTC 2012 年 7 月 16 日 (月) 18 時 14 分 2 秒 (日本時間)
composite number 合成数
5709031512758327140371313984284027714169920250628667681092583403368445401896418050185516184770191970787059606875698293870360863307722265944985405605390132796804305563386304810735648495707785487967659540013563670739957698977331<226>
prime factors 素因数
81028213978587076886293673217716359<35>
70457328780158285413250887254326846803077315925790805298957736380151649563936295785507534186405492796520500719662944219491514419996323046638079928106333966416442184621168069954530921323473909<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2149494045
Step 1 took 30921ms
Step 2 took 11370ms
********** Factor found in step 2: 81028213978587076886293673217716359
Found probable prime factor of 35 digits: 81028213978587076886293673217716359

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000 / 2318Dmitry DomanovJuly 15, 2012 10:19:07 UTC 2012 年 7 月 15 日 (日) 19 時 19 分 7 秒 (日本時間)

4×10249+113

c226

name 名前Domanov Dmitry
date 日付August 3, 2012 07:51:26 UTC 2012 年 8 月 3 日 (金) 16 時 51 分 26 秒 (日本時間)
composite number 合成数
1397236516701794137829920713608708856961750583916140115537689810111358058203035021721550473723012367638063404190585917561919133433354153551531003010672903879549233181441065290810658533275776356659955428712145612669959008701129<226>
prime factors 素因数
1013278164414387345819006136113526432106778514982807<52>
composite cofactor 合成数の残り
1378926898626411414733386428085132801602850610962881815942914253813266720446291511434215092948234084350962123567574813728080128075876291444944867476082141431677584440054975647<175>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3077884885
Step 1 took 461817ms
Step 2 took 113030ms
********** Factor found in step 2: 1013278164414387345819006136113526432106778514982807
Found probable prime factor of 52 digits: 1013278164414387345819006136113526432106778514982807

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:18:52 UTC 2012 年 7 月 15 日 (日) 19 時 18 分 52 秒 (日本時間)
4511e61000 / 2851Dmitry DomanovJuly 19, 2012 08:29:29 UTC 2012 年 7 月 19 日 (木) 17 時 29 分 29 秒 (日本時間)
5043e6400 / 7291Domanov DmitryAugust 2, 2012 19:38:54 UTC 2012 年 8 月 3 日 (金) 4 時 38 分 54 秒 (日本時間)

4×10250+113

c240

name 名前Andy
date 日付January 14, 2013 11:06:19 UTC 2013 年 1 月 14 日 (月) 20 時 6 分 19 秒 (日本時間)
composite number 合成数
487033193358019860222342129948654144608515251925023922023031984469942659554748534670758850520486443503795199030294001982766897043091960298436813393483748859826818126851355495794698723790212099448216117383007301641340204522257022457838632367<240>
prime factors 素因数
181437751518712168600245779331976818667723<42>
composite cofactor 合成数の残り
2684299101379631034855710478635856293086508181632378182913277951350880153599702030237702871770971983876126924773426846572131091852465855372667689298969219174290870961179093785896006691297932011830829<199>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 487033193358019860222342129948654144608515251925023922023031984469942659554748534670758850520486443503795199030294001982766897043091960298436813393483748859826818126851355495794698723790212099448216117383007301641340204522257022457838632367 (240 digits)
[Mon Jan 14 17:46:42 2013]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2854762517
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+007        3.6e+008
Step 1 took 649603ms
Using 29 small primes for NTT
Estimated memory usage: 841M
Initializing tables of differences for F took 422ms
Computing roots of F took 18423ms
Building F from its roots took 10624ms
Computing 1/F took 4352ms
Initializing table of differences for G took 358ms
Computing roots of G took 15523ms
Building G from its roots took 10545ms
Computing roots of G took 15460ms
Building G from its roots took 10499ms
Computing G * H took 2340ms
Reducing  G * H mod F took 2247ms
Computing roots of G took 15475ms
Building G from its roots took 10530ms
Computing G * H took 2340ms
Reducing  G * H mod F took 2231ms
Computing roots of G took 15444ms
Building G from its roots took 10577ms
Computing G * H took 2356ms
Reducing  G * H mod F took 2246ms
Computing polyeval(F,G) took 20966ms
Computing product of all F(g_i) took 78ms
Step 2 took 173551ms
********** Factor found in step 2: 181437751518712168600245779331976818667723
Found probable prime factor of 42 digits: 181437751518712168600245779331976818667723
Composite cofactor 2684299101379631034855710478635856293086508181632378182913277951350880153599702030237702871770971983876126924773426846572131091852465855372667689298969219174290870961179093785896006691297932011830829 has 199 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJuly 14, 2012 01:00:00 UTC 2012 年 7 月 14 日 (土) 10 時 0 分 0 秒 (日本時間)
403e61000Dmitry DomanovJuly 15, 2012 10:18:39 UTC 2012 年 7 月 15 日 (日) 19 時 18 分 39 秒 (日本時間)
4511e61000Dmitry DomanovJuly 19, 2012 08:29:37 UTC 2012 年 7 月 19 日 (木) 17 時 29 分 37 秒 (日本時間)
5043e6928 / 6700Domanov DmitryJuly 26, 2012 11:04:54 UTC 2012 年 7 月 26 日 (木) 20 時 4 分 54 秒 (日本時間)
5511e7245 / 17368yoyo@homeJanuary 13, 2013 21:50:05 UTC 2013 年 1 月 14 日 (月) 6 時 50 分 5 秒 (日本時間)

4×10252+113

c243

composite cofactor 合成数の残り
278000806994781585205222003771296258509229661646577925599554615629915758608774835361335216069612635283073137786499560109141312600913854219082176789806435378005840261942407299648000986849488676531629414178710763377628826131526750315492916703771<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e60--
4511e6800 / 4437Erik BrangerNovember 14, 2015 23:12:36 UTC 2015 年 11 月 15 日 (日) 8 時 12 分 36 秒 (日本時間)

4×10253+113

c248

composite cofactor 合成数の残り
50912543705236736964161387672291229932502695182782395969763040293459901916984551861426238543086649330945535033557730369714164251502874649498956929260838962351446743570063933426757851032442745662569479711987740259475778993739029937848512271832253351<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:56:40 UTC 2015 年 11 月 14 日 (土) 18 時 56 分 40 秒 (日本時間)
4511e6800 / 4305Erik BrangerNovember 14, 2015 23:12:46 UTC 2015 年 11 月 15 日 (日) 8 時 12 分 46 秒 (日本時間)

4×10254+113

c238

name 名前anonymous
date 日付November 14, 2015 23:13:16 UTC 2015 年 11 月 15 日 (日) 8 時 13 分 16 秒 (日本時間)
composite number 合成数
6765636228246791294053895024606527249604583435592931960643563923274631706966710737181383922278482664258415657802293043755904022116143300510615499260269797816661774280614888880971244869257550978055149857858614826554925545319105588907388631<238>
prime factors 素因数
4341026379850930602626512170391<31>
composite cofactor 合成数の残り
1558533774328070539064360161014370622405114501679420830597690898292686051423549609534460449686642964530733261686720333642215682698639997203574832372353758627558863631848059423480509610468041687107766681448641<208>
factorization results 素因数分解の結果
Sat 2015/11/14 19:15:59 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sat 2015/11/14 19:15:59 UTC Input number is 6765636228246791294053895024606527249604583435592931960643563923274631706966710737181383922278482664258415657802293043755904022116143300510615499260269797816661774280614888880971244869257550978055149857858614826554925545319105588907388631 (238 digits)
Sat 2015/11/14 19:15:59 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3518885061
Sat 2015/11/14 19:15:59 UTC Step 1 took 56828ms
Sat 2015/11/14 19:15:59 UTC Step 2 took 25532ms
Sat 2015/11/14 19:15:59 UTC ********** Factor found in step 2: 4341026379850930602626512170391
Sat 2015/11/14 19:15:59 UTC Found probable prime factor of 31 digits: 4341026379850930602626512170391
Sat 2015/11/14 19:15:59 UTC Composite cofactor 1558533774328070539064360161014370622405114501679420830597690898292686051423549609534460449686642964530733261686720333642215682698639997203574832372353758627558863631848059423480509610468041687107766681448641 has 208 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 25, 2016 08:04:58 UTC 2016 年 3 月 25 日 (金) 17 時 4 分 58 秒 (日本時間)

4×10259+113

c260

name 名前Dmitry Domanov
date 日付January 23, 2017 06:39:23 UTC 2017 年 1 月 23 日 (月) 15 時 39 分 23 秒 (日本時間)
composite number 合成数
13333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333337<260>
prime factors 素因数
8433859687775163417583238924950433015869093897<46>
1580928996561317229962877622978996669268303199533050037483032751776446522394328924170886040708152159797647721954351401887760814506704586892926757408768818942270451784739231670876849422288105821417371365084689229521<214>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=2689355271
Step 1 took 496102ms
Step 2 took 109860ms
********** Factor found in step 2: 8433859687775163417583238924950433015869093897
Found probable prime factor of 46 digits: 8433859687775163417583238924950433015869093897

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:53:09 UTC 2015 年 11 月 14 日 (土) 18 時 53 分 9 秒 (日本時間)
4511e6800Erik BrangerNovember 15, 2015 07:53:31 UTC 2015 年 11 月 15 日 (日) 16 時 53 分 31 秒 (日本時間)
5043e65900 / 6864600Dmitry DomanovFebruary 8, 2016 14:44:00 UTC 2016 年 2 月 8 日 (月) 23 時 44 分 0 秒 (日本時間)
1800Dmitry DomanovJanuary 2, 2017 10:12:33 UTC 2017 年 1 月 2 日 (月) 19 時 12 分 33 秒 (日本時間)
2000Dmitry DomanovJanuary 13, 2017 23:31:42 UTC 2017 年 1 月 14 日 (土) 8 時 31 分 42 秒 (日本時間)
1500Dmitry DomanovJanuary 21, 2017 17:33:14 UTC 2017 年 1 月 22 日 (日) 2 時 33 分 14 秒 (日本時間)
5511e7200 / 15609Dmitry DomanovFebruary 13, 2016 20:56:56 UTC 2016 年 2 月 14 日 (日) 5 時 56 分 56 秒 (日本時間)

4×10260+113

c219

name 名前Erik Branger
date 日付November 15, 2015 07:53:58 UTC 2015 年 11 月 15 日 (日) 16 時 53 分 58 秒 (日本時間)
composite number 合成数
150100353992159632856550276599252820295546405187322696743068496516819849918145978896772821282232695967018353228333875555969847583625303187415404090201649938651412943043735854538971003318215527577004138694825155792429471<219>
prime factors 素因数
3068767081443942250571366324806027<34>
composite cofactor 合成数の残り
48912266720983315673116085264917837060848278922298213778435039664333465644820208485910361989556167977629125253971122936758858204739863120606008937281548543122830692606468252418116688573<185>
factorization results 素因数分解の結果
Sun 2015/11/15 00:57:12 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sun 2015/11/15 00:57:12 UTC Input number is 150100353992159632856550276599252820295546405187322696743068496516819849918145978896772821282232695967018353228333875555969847583625303187415404090201649938651412943043735854538971003318215527577004138694825155792429471 (219 digits)
Sun 2015/11/15 00:57:12 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3560976976
Sun 2015/11/15 00:57:12 UTC Step 1 took 34406ms
Sun 2015/11/15 00:57:12 UTC Step 2 took 18828ms
Sun 2015/11/15 00:57:12 UTC ********** Factor found in step 2: 3068767081443942250571366324806027
Sun 2015/11/15 00:57:12 UTC Found probable prime factor of 34 digits: 3068767081443942250571366324806027
Sun 2015/11/15 00:57:12 UTC Composite cofactor 48912266720983315673116085264917837060848278922298213778435039664333465644820208485910361989556167977629125253971122936758858204739863120606008937281548543122830692606468252418116688573 has 185 digits
software ソフトウェア
GMP-ECM

c185

name 名前Dmitry Domanov
date 日付March 25, 2016 08:36:26 UTC 2016 年 3 月 25 日 (金) 17 時 36 分 26 秒 (日本時間)
composite number 合成数
48912266720983315673116085264917837060848278922298213778435039664333465644820208485910361989556167977629125253971122936758858204739863120606008937281548543122830692606468252418116688573<185>
prime factors 素因数
24762016427999919657864743539762071356181827<44>
1975294171345239783251288729890397303558047180083709525718454597213884347453987834767600590079484197341006918221918678899678299394631243315199<142>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3657295220
Step 1 took 21775ms
Step 2 took 9970ms
********** Factor found in step 2: 24762016427999919657864743539762071356181827
Found probable prime factor of 44 digits: 24762016427999919657864743539762071356181827

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 25, 2016 08:05:50 UTC 2016 年 3 月 25 日 (金) 17 時 5 分 50 秒 (日本時間)

4×10261+113

c247

name 名前Erik Branger
date 日付November 15, 2015 07:54:24 UTC 2015 年 11 月 15 日 (日) 16 時 54 分 24 秒 (日本時間)
composite number 合成数
2008413352649027520904453312419309665032037633137201891658512520372798791800761725999253266823212284120021591317067808400097802354386614627483516200570824123328137743800243835205449613880714348415110041355268938984464072303694645823683204771538873<247>
prime factors 素因数
18008658275239926730439386067<29>
composite cofactor 合成数の残り
111524874421677020934076068902787022453866675126267422568706033889371671225502490560067203559355055948158281992100587137699407494219462277715601587581613056032990486018564903529311836274712441254396791349936956233050819<219>
factorization results 素因数分解の結果
Sun 2015/11/15 01:05:13 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sun 2015/11/15 01:05:13 UTC Input number is 2008413352649027520904453312419309665032037633137201891658512520372798791800761725999253266823212284120021591317067808400097802354386614627483516200570824123328137743800243835205449613880714348415110041355268938984464072303694645823683204771538873 (247 digits)
Sun 2015/11/15 01:05:13 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3019773733
Sun 2015/11/15 01:05:13 UTC Step 1 took 53843ms
Sun 2015/11/15 01:05:13 UTC ********** Factor found in step 1: 18008658275239926730439386067
Sun 2015/11/15 01:05:13 UTC Found probable prime factor of 29 digits: 18008658275239926730439386067
Sun 2015/11/15 01:05:13 UTC Composite cofactor 111524874421677020934076068902787022453866675126267422568706033889371671225502490560067203559355055948158281992100587137699407494219462277715601587581613056032990486018564903529311836274712441254396791349936956233050819 has 219 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 25, 2016 08:06:02 UTC 2016 年 3 月 25 日 (金) 17 時 6 分 2 秒 (日本時間)

4×10262+113

c242

composite cofactor 合成数の残り
91720961463584900960804958773707638729997472534899741835622626347980213778493914619011109190563365809564700695943080396343841076782709881870325769379733550173271602689118912950604940513206281874531554508153546157965434933434562721351880359787<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 15, 2015 07:54:42 UTC 2015 年 11 月 15 日 (日) 16 時 54 分 42 秒 (日本時間)

4×10264+113

c246

name 名前Erik Branger
date 日付November 15, 2015 07:55:07 UTC 2015 年 11 月 15 日 (日) 16 時 55 分 7 秒 (日本時間)
composite number 合成数
121833942288721115380485939101514293706427202153134092665952004967899524609463346661526621320703457421306437998917532162849968205663679279713479723473374579548847893197401809913802658570614233686203734686735339406195018178026122173088446690627371<246>
prime factors 素因数
10508951243003052386491276922197<32>
composite cofactor 合成数の残り
11593349276393224579143289240765657285104316536822469414786653037237143916251022600660084291081811185747390865736292061753226426158650298304960409373008362951239793631778088534771552995902938210708229139934647855743<215>
factorization results 素因数分解の結果
Sun 2015/11/15 05:41:21 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Sun 2015/11/15 05:41:21 UTC Input number is 121833942288721115380485939101514293706427202153134092665952004967899524609463346661526621320703457421306437998917532162849968205663679279713479723473374579548847893197401809913802658570614233686203734686735339406195018178026122173088446690627371 (246 digits)
Sun 2015/11/15 05:41:21 UTC Run 30 out of 800:
Sun 2015/11/15 05:41:21 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1867339031
Sun 2015/11/15 05:41:21 UTC Step 1 took 46609ms
Sun 2015/11/15 05:41:21 UTC ********** Factor found in step 1: 10508951243003052386491276922197
Sun 2015/11/15 05:41:21 UTC Found probable prime factor of 32 digits: 10508951243003052386491276922197
Sun 2015/11/15 05:41:21 UTC Composite cofactor 11593349276393224579143289240765657285104316536822469414786653037237143916251022600660084291081811185747390865736292061753226426158650298304960409373008362951239793631778088534771552995902938210708229139934647855743 has 215 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 25, 2016 08:05:18 UTC 2016 年 3 月 25 日 (金) 17 時 5 分 18 秒 (日本時間)

4×10265+113

c240

composite cofactor 合成数の残り
769343153852475784263995660257190013667898055511515526932857422569617774952682135113939035496556340248404885358746319916609317070766621546372528962909705661075456405073032319316512445175405238162220798769105676619420532192373471924946006317<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 15, 2015 17:20:25 UTC 2015 年 11 月 16 日 (月) 2 時 20 分 25 秒 (日本時間)

4×10266+113

c263

composite cofactor 合成数の残り
20707149143241704198374488792255526220427602629807941191696433193560076616451829994305533985608531345447015582129730289382409276802816172283480871770978930475746751565978153957653880002070714914324170419837448879225552622042760262980794119169643319356007661645183<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:51:13 UTC 2015 年 11 月 14 日 (土) 18 時 51 分 13 秒 (日本時間)
4511e6800 / 4305Erik BrangerNovember 15, 2015 17:20:33 UTC 2015 年 11 月 16 日 (月) 2 時 20 分 33 秒 (日本時間)

4×10267+113

c243

composite cofactor 合成数の残り
523167256117476862910765584227748676322102786516146127587326063972611847930188711763558563450694813624278358957928551736472180505541769186289787544197842862988405386180474439164078833819988772467106782414093061050137027139189977593306458044159<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 16, 2015 16:40:00 UTC 2015 年 11 月 17 日 (火) 1 時 40 分 0 秒 (日本時間)

4×10268+113

c263

composite cofactor 合成数の残り
11692696069704838349938423339322916895039636778089290688901497512817387272909572488723125434274039963881261840681754337040210304831509711222561992482181061983274182907090713982330582334265533527490551570782174134060852882790368375466502033506005222542699533666049<263>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:50:48 UTC 2015 年 11 月 14 日 (土) 18 時 50 分 48 秒 (日本時間)
4511e6800 / 4305Erik BrangerNovember 16, 2015 16:40:09 UTC 2015 年 11 月 17 日 (火) 1 時 40 分 9 秒 (日本時間)

4×10269+113

c257

name 名前Erik Branger
date 日付November 16, 2015 16:40:41 UTC 2015 年 11 月 17 日 (火) 1 時 40 分 41 秒 (日本時間)
composite number 合成数
60858334817565957407837971757375394490504745849205305409902994449742081429547347989673387537738840534041395988733992882626581845918510345173330322775796750888801392202941644376006364062485105634072916782607675881643044363700619705956158277561391444607106829<257>
prime factors 素因数
3385824016431490011887547436248137802896111<43>
17974453049602965675163615718894702655503829265973471092691144848089867975919097835153717084485818029758011092422379110655242414969294028664823938725974061531749757283920639438219242362424746628084424263433130073539<215>
factorization results 素因数分解の結果
Mon 2015/11/16 02:13:18 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Mon 2015/11/16 02:13:18 UTC Input number is 60858334817565957407837971757375394490504745849205305409902994449742081429547347989673387537738840534041395988733992882626581845918510345173330322775796750888801392202941644376006364062485105634072916782607675881643044363700619705956158277561391444607106829 (257 digits)
Mon 2015/11/16 02:13:18 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:979957743
Mon 2015/11/16 02:13:18 UTC Step 1 took 60609ms
Mon 2015/11/16 02:13:18 UTC Step 2 took 26657ms
Mon 2015/11/16 02:13:18 UTC ********** Factor found in step 2: 3385824016431490011887547436248137802896111
Mon 2015/11/16 02:13:18 UTC Found probable prime factor of 43 digits: 3385824016431490011887547436248137802896111
Mon 2015/11/16 02:13:18 UTC Probable prime cofactor 17974453049602965675163615718894702655503829265973471092691144848089867975919097835153717084485818029758011092422379110655242414969294028664823938725974061531749757283920639438219242362424746628084424263433130073539 has 215 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)

4×10270+113

c268

composite cofactor 合成数の残り
2160994057266342517558076715289032955159373311723392760669908157752566180443003781739600216099405726634251755807671528903295515937331172339276066990815775256618044300378173960021609940572663425175580767152890329551593733117233927606699081577525661804430037817396002161<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:50:28 UTC 2015 年 11 月 14 日 (土) 18 時 50 分 28 秒 (日本時間)
4511e6800 / 4305Erik BrangerNovember 16, 2015 16:41:14 UTC 2015 年 11 月 17 日 (火) 1 時 41 分 14 秒 (日本時間)

4×10271+113

c250

composite cofactor 合成数の残り
3455345800584722675518542003602123027712351130173957932102101884459017642538353845296373762211729301421537480243666396626503101628873774659591076800551059196924644928031607022730755390746305541996784206645661115772747679559216974448296880259676279497<250>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6800 / 2336Erik BrangerNovember 16, 2015 16:41:25 UTC 2015 年 11 月 17 日 (火) 1 時 41 分 25 秒 (日本時間)

4×10273+113

c213

name 名前Erik Branger
date 日付November 16, 2015 16:41:57 UTC 2015 年 11 月 17 日 (火) 1 時 41 分 57 秒 (日本時間)
composite number 合成数
159977546350454638306545470595563789036086893807449123715127033492852956129649886773698822273169913880740604017317095581921988814896459737056768182225446858514631216135204639554718275207434399245892203805623632977<213>
prime factors 素因数
25648925100708341636517242709556730048539667<44>
6237202756930993880067555439093276272682178154973471451741212829472975806278584249287479507897867577563242952865213992760681828528789190565956222385385646039677328609931<169>
factorization results 素因数分解の結果
Mon 2015/11/16 15:08:43 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Mon 2015/11/16 15:08:43 UTC Input number is 159977546350454638306545470595563789036086893807449123715127033492852956129649886773698822273169913880740604017317095581921988814896459737056768182225446858514631216135204639554718275207434399245892203805623632977 (213 digits)
Mon 2015/11/16 15:08:43 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:3640199218
Mon 2015/11/16 15:08:43 UTC Step 1 took 46969ms
Mon 2015/11/16 15:08:43 UTC Step 2 took 22406ms
Mon 2015/11/16 15:08:43 UTC ********** Factor found in step 2: 25648925100708341636517242709556730048539667
Mon 2015/11/16 15:08:43 UTC Found probable prime factor of 44 digits: 25648925100708341636517242709556730048539667
Mon 2015/11/16 15:08:43 UTC Probable prime cofactor 6237202756930993880067555439093276272682178154973471451741212829472975806278584249287479507897867577563242952865213992760681828528789190565956222385385646039677328609931 has 169 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)

4×10274+113

c218

composite cofactor 合成数の残り
34084783886302720470818661492048940558728029335787234938056035471502626540610368489528464236223536682246387667344811661345837455276766460209460312352562435942492489332390214717428332832361230837808489344908567792537193<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 16, 2015 19:20:54 UTC 2015 年 11 月 17 日 (火) 4 時 20 分 54 秒 (日本時間)

4×10275+113

c243

name 名前Erik Branger
date 日付November 16, 2015 20:54:14 UTC 2015 年 11 月 17 日 (火) 5 時 54 分 14 秒 (日本時間)
composite number 合成数
150815221668137612244428451146815449604674404016062943050848470832735924323860218280960800974665288531392710746663760519531628613125525083367292405955971701965162410641673786146490046831109915556350211346815357907048859781074264660964859817387<243>
prime factors 素因数
6742125871036219106519223382213362150826889<43>
22369090188011920577827896918788960607811475875584141833917843207583978089355143223100727395336140951590011247518166219899687128696523954460261543243730241468696207836206552429333589541411013553870483<200>
factorization results 素因数分解の結果
Mon 2015/11/16 19:44:55 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Mon 2015/11/16 19:44:55 UTC Input number is 150815221668137612244428451146815449604674404016062943050848470832735924323860218280960800974665288531392710746663760519531628613125525083367292405955971701965162410641673786146490046831109915556350211346815357907048859781074264660964859817387 (243 digits)
Mon 2015/11/16 19:44:55 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:80415427
Mon 2015/11/16 19:44:55 UTC Step 1 took 55953ms
Mon 2015/11/16 19:44:55 UTC Step 2 took 25641ms
Mon 2015/11/16 19:44:55 UTC ********** Factor found in step 2: 6742125871036219106519223382213362150826889
Mon 2015/11/16 19:44:55 UTC Found probable prime factor of 43 digits: 6742125871036219106519223382213362150826889
Mon 2015/11/16 19:44:55 UTC Probable prime cofactor 22369090188011920577827896918788960607811475875584141833917843207583978089355143223100727395336140951590011247518166219899687128696523954460261543243730241468696207836206552429333589541411013553870483 has 200 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)

4×10277+113

c243

composite cofactor 合成数の残り
110896646726689602999431458179748913076358076352599354475636115392469873516927525276109451120197741432239465737509345556682012084480933211580156778077963801169853535788881661685238485574559651338465817414970826734331225467465879951953085092489<243>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 08:00:56 UTC 2015 年 11 月 17 日 (火) 17 時 0 分 56 秒 (日本時間)

4×10278+113

c207

composite cofactor 合成数の残り
101625300935340932393661620628312268657042581285295427724966357625374716903831342503372717618842485263161333756717717345202299037635393476577109878996565957595129446045354104886003002704520098826901647107099<207>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 08:01:16 UTC 2015 年 11 月 17 日 (火) 17 時 1 分 16 秒 (日本時間)

4×10280+113

c202

composite cofactor 合成数の残り
3888642093661164859731048530476277720613423956784958456222607608399960777891236270886257958870978747504272780545613188686930086872532000494209777518266158095109849625339062439295483663683225207882501527<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 08:01:34 UTC 2015 年 11 月 17 日 (火) 17 時 1 分 34 秒 (日本時間)

4×10281+113

c241

composite cofactor 合成数の残り
1577728897156200169144101021365721778990455736367402049130242315990459313409770949184535718360764294097492870874924211213138803443464802527481650757413591285829719963060655326457826705585841839330659695773599477093562681086063474867152725349<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 16:01:41 UTC 2015 年 11 月 18 日 (水) 1 時 1 分 41 秒 (日本時間)

4×10282+113

c219

composite cofactor 合成数の残り
704070946754435823440634629743063894528178952332135100575982123444475870825470567205862849495479189793380117778944852083210592290812033733730848372931248997283745050346939292083105622993052379482980207624486545638194559<219>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 16:01:47 UTC 2015 年 11 月 18 日 (水) 1 時 1 分 47 秒 (日本時間)

4×10283+113

c251

composite cofactor 合成数の残り
93171438445274931821099849751975063286678539757698982626737716141206806572617739180974238475368747163270961867365262412744782423365157056620256778959396068376471111572511788794453468980379764969917482344499907506875075934685409867717784745744206828997<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 17, 2015 21:08:52 UTC 2015 年 11 月 18 日 (水) 6 時 8 分 52 秒 (日本時間)

4×10286+113

c257

name 名前Erik Branger
date 日付November 18, 2015 07:30:02 UTC 2015 年 11 月 18 日 (水) 16 時 30 分 2 秒 (日本時間)
composite number 合成数
13875159624118148283737317187495725295464100896785979839413096778627087812590962230639107929182868786508697516993916924083612981589931535225815630504699907459981548140689649050021517311680589037026010287210887307914311084596823462586605794933210153095605481<257>
prime factors 素因数
8960266451638421088270909803213<31>
composite cofactor 合成数の残り
1548520872566353094387827508582457443306322845986089446063654574608930292294544505241003159289256745920345433434069492399795738846587928510901560171112688069018302217215119345848683766233785462318828436189464756916751691588237<226>
factorization results 素因数分解の結果
Tue 2015/11/17 21:12:53 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Tue 2015/11/17 21:12:53 UTC Input number is 13875159624118148283737317187495725295464100896785979839413096778627087812590962230639107929182868786508697516993916924083612981589931535225815630504699907459981548140689649050021517311680589037026010287210887307914311084596823462586605794933210153095605481 (257 digits)
Tue 2015/11/17 21:12:53 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:1211263759
Tue 2015/11/17 21:12:53 UTC Step 1 took 61829ms
Tue 2015/11/17 21:12:53 UTC ********** Factor found in step 1: 8960266451638421088270909803213
Tue 2015/11/17 21:12:53 UTC Found probable prime factor of 31 digits: 8960266451638421088270909803213
Tue 2015/11/17 21:12:53 UTC Composite cofactor 1548520872566353094387827508582457443306322845986089446063654574608930292294544505241003159289256745920345433434069492399795738846587928510901560171112688069018302217215119345848683766233785462318828436189464756916751691588237 has 226 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 10, 2016 21:34:51 UTC 2016 年 3 月 11 日 (金) 6 時 34 分 51 秒 (日本時間)

4×10289+113

c262

composite cofactor 合成数の残り
3148770707717406204721723373298530708612361049813102395278899452069622314170212042070014923832903656136542811164674964597083321600497454432002693328107751944258537082698227755749013015711956640767767984769644089452368012502188350747201536058373440782079077974557<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 18, 2015 07:30:34 UTC 2015 年 11 月 18 日 (水) 16 時 30 分 34 秒 (日本時間)

4×10290+113

c254

name 名前Erik Branger
date 日付November 18, 2015 07:31:05 UTC 2015 年 11 月 18 日 (水) 16 時 31 分 5 秒 (日本時間)
composite number 合成数
11866832871023730993014657423004383771087168723332815091298015855079238645973769608889511114472388039375257386454997608917506670055437591940036435227282974422532697896390546557215102826222391244365308975795867056357861792085981505725691320556415895455591<254>
prime factors 素因数
69139352422284472492877126495723240204891419523<47>
composite cofactor 合成数の残り
171636448061363433994444969286609481441548583692561994053539528987613998704746830632971362124831310094494987011609923845164906995350656645805175632537246654385245750316223193537598464150633175260106363011917<207>
factorization results 素因数分解の結果
Wed 2015/11/18 04:46:04 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Wed 2015/11/18 04:46:04 UTC Input number is 11866832871023730993014657423004383771087168723332815091298015855079238645973769608889511114472388039375257386454997608917506670055437591940036435227282974422532697896390546557215102826222391244365308975795867056357861792085981505725691320556415895455591 (254 digits)
Wed 2015/11/18 04:46:04 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:543493879
Wed 2015/11/18 04:46:04 UTC Step 1 took 60406ms
Wed 2015/11/18 04:46:04 UTC Step 2 took 26547ms
Wed 2015/11/18 04:46:04 UTC ********** Factor found in step 2: 69139352422284472492877126495723240204891419523
Wed 2015/11/18 04:46:04 UTC Found probable prime factor of 47 digits: 69139352422284472492877126495723240204891419523
Wed 2015/11/18 04:46:04 UTC Composite cofactor 171636448061363433994444969286609481441548583692561994053539528987613998704746830632971362124831310094494987011609923845164906995350656645805175632537246654385245750316223193537598464150633175260106363011917 has 207 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovMarch 10, 2016 21:33:24 UTC 2016 年 3 月 11 日 (金) 6 時 33 分 24 秒 (日本時間)

4×10291+113

c207

name 名前Erik Branger
date 日付November 18, 2015 07:31:44 UTC 2015 年 11 月 18 日 (水) 16 時 31 分 44 秒 (日本時間)
composite number 合成数
429993476394165515665567792356719550522776293852293264295647632893458754397211864407996615282574893048148734001383541500812408582307358953620720614294643562469027203414844082383739124875731498456623143102021<207>
prime factors 素因数
8492780387298205805460334865754060437<37>
composite cofactor 合成数の残り
50630471622375087690417256277829415077295725015715609146651608540173779654270187604473528857804109958959880375725915015446699263217297030291778669850472447947329450734833<170>
factorization results 素因数分解の結果
Wed 2015/11/18 06:36:08 UTC GMP-ECM 7.0-dev [configured with MPIR 2.6.0, --enable-openmp] [ECM]
Wed 2015/11/18 06:36:08 UTC Input number is 429993476394165515665567792356719550522776293852293264295647632893458754397211864407996615282574893048148734001383541500812408582307358953620720614294643562469027203414844082383739124875731498456623143102021 (207 digits)
Wed 2015/11/18 06:36:08 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2069108724
Wed 2015/11/18 06:36:08 UTC Step 1 took 29313ms
Wed 2015/11/18 06:36:08 UTC ********** Factor found in step 2: 8492780387298205805460334865754060437
Wed 2015/11/18 06:36:08 UTC Found probable prime factor of 37 digits: 8492780387298205805460334865754060437
Wed 2015/11/18 06:36:08 UTC Composite cofactor 50630471622375087690417256277829415077295725015715609146651608540173779654270187604473528857804109958959880375725915015446699263217297030291778669850472447947329450734833 has 170 digits
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 19, 2015 10:55:54 UTC 2015 年 11 月 19 日 (木) 19 時 55 分 54 秒 (日本時間)
1736KTakahashiNovember 21, 2015 01:09:53 UTC 2015 年 11 月 21 日 (土) 10 時 9 分 53 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 10, 2016 13:36:06 UTC 2016 年 2 月 10 日 (水) 22 時 36 分 6 秒 (日本時間)
5043e6600 / 6933Dmitry DomanovFebruary 11, 2016 14:28:47 UTC 2016 年 2 月 11 日 (木) 23 時 28 分 47 秒 (日本時間)
5511e7144 / 17485Dmitry DomanovFebruary 28, 2016 14:20:48 UTC 2016 年 2 月 28 日 (日) 23 時 20 分 48 秒 (日本時間)
6026e71 / 41877Dmitry DomanovFebruary 28, 2016 14:21:01 UTC 2016 年 2 月 28 日 (日) 23 時 21 分 1 秒 (日本時間)

4×10292+113

c264

composite cofactor 合成数の残り
435967992977779957109219024872999746654538973579555243432596490813011529212047588932897429267933105542416879556096017076260839767541644822967348172781955545898099631084470032540009258416546083848675852422888237345716649940301981873286405886634663547620543469346357<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 18, 2015 17:42:19 UTC 2015 年 11 月 19 日 (木) 2 時 42 分 19 秒 (日本時間)

4×10293+113

c275

composite cofactor 合成数の残り
26373367892036134846163473976730536372699745081110792448255743644489414466289205261082016448425226665277598034408974386320230040732209646819929841632905914138021283378157655888948904079348007072455812823905064547579735056362554038581435266716986944189320869737660332726160697<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 18, 2015 17:42:36 UTC 2015 年 11 月 19 日 (木) 2 時 42 分 36 秒 (日本時間)

4×10294+113

c281

composite cofactor 合成数の残り
19260042748918100137424178840270398486028065518563785438885638716480663995526671937331732898834569165718152167494354994536409174953582051368316298346444993221428883839412345368039513055242519439487289703172067385051611765305425362026425812425922432950417017001802008351531484907221<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 12:07:58 UTC 2015 年 11 月 18 日 (水) 21 時 7 分 58 秒 (日本時間)
4511e6800 / 4346Erik BrangerNovember 19, 2015 06:17:40 UTC 2015 年 11 月 19 日 (木) 15 時 17 分 40 秒 (日本時間)

4×10295+113

c291

composite cofactor 合成数の残り
478428839690456540720274618153982322054373437630820385852859210353200090901479541186742736852177449256641190330953149855873312043249967108017271281112825481120001913715358761826162881098472615929288217493750523281543411436841412800363605918164746970947408709797026564761323812599423493248173<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 14, 2015 09:43:12 UTC 2015 年 11 月 14 日 (土) 18 時 43 分 12 秒 (日本時間)
4511e6800 / 4305Erik BrangerNovember 19, 2015 06:17:49 UTC 2015 年 11 月 19 日 (木) 15 時 17 分 49 秒 (日本時間)

4×10296+113

c290

name 名前Dmitry Domanov
date 日付November 14, 2015 16:41:07 UTC 2015 年 11 月 15 日 (日) 1 時 41 分 7 秒 (日本時間)
composite number 合成数
21430511272529293767680506651575300628551537995466053882627339964040673610259471522520493863989224310321946820507734887645454907337951715665119758786737320919281068495289332529046245275308938232283918699712300743794112363492331118329264482886852740295367093139198617817744966950669159678043<290>
prime factors 素因数
376510375083397039716662979342127<33>
56918780173806461500301445407720662415607433110626007145701537052803202935786306584729717671418753456629636737133942557781139826609928931284144863995851395287613640585645128784981853026383799853115773204778073655709374859353324251170892262911924747564930709<257>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=217565519
Step 1 took 58087ms
Step 2 took 16915ms
********** Factor found in step 2: 376510375083397039716662979342127
Found probable prime factor of 33 digits: 376510375083397039716662979342127

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
403e6600 / 2089Dmitry DomanovNovember 14, 2015 09:43:00 UTC 2015 年 11 月 14 日 (土) 18 時 43 分 0 秒 (日本時間)

4×10297+113

c268

composite cofactor 合成数の残り
2087330537541159176875854531795200129213321085986627476365072679631982717479318739568402886898616183775677162537014651206469822814916997658917419978567570740045704336007769847234695119059010953851598691276484774269364694084348911718582485660831341402743546053400585403<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e60--
4511e6800 / 4479Erik BrangerNovember 19, 2015 18:39:35 UTC 2015 年 11 月 20 日 (金) 3 時 39 分 35 秒 (日本時間)

4×10299+113

c277

composite cofactor 合成数の残り
3007727514927770763793787717952375890628625488478292861842924432988105172342592862870035625425218778727876693673323388630554450414347657684591806476565102661636932191971057342464314875542649349264804216009668367854063670323264836911366043249631754029698207950530522615215097381<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 13, 2015 06:00:00 UTC 2015 年 11 月 13 日 (金) 15 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 18, 2015 06:30:44 UTC 2015 年 11 月 18 日 (水) 15 時 30 分 44 秒 (日本時間)
4511e6800 / 4346Erik BrangerNovember 19, 2015 18:39:41 UTC 2015 年 11 月 20 日 (金) 3 時 39 分 41 秒 (日本時間)