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

name 名前Eric Jeancolas
date 日付December 30, 2020 10:09:41 UTC 2020 年 12 月 30 日 (水) 19 時 9 分 41 秒 (日本時間)
composite number 合成数
226131011724938589751435749719608863033945788650306647178447097694980725955239276167789662754839901781191289406503568491113900874475937024171979608252028908748985111187356821<174>
prime factors 素因数
129589074001418374022288288269923600690600906229<48>
1744985165357872285773210406472315806032103414048223507578738090265159065274856111961347989540551701333525428712572022999740449<127>
factorization results 素因数分解の結果
226131011724938589751435749719608863033945788650306647178447097694980725955239276167789662754839901781191289406503568491113900874475937024171979608252028908748985111187356821=129589074001418374022288288269923600690600906229*1744985165357872285773210406472315806032103414048223507578738090265159065274856111961347989540551701333525428712572022999740449

cado polynomial
n: 226131011724938589751435749719608863033945788650306647178447097694980725955239276167789662754839901781191289406503568491113900874475937024171979608252028908748985111187356821
skew: 0.62
type: snfs
c0: 11
c5: 125
Y0: 200000000000000000000000000000000000000
Y1: -1
# f(x) = 125*x^5+11
# g(x) = -x+200000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 11800000
tasks.lim1 = 11800000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 1744985165357872285773210406472315806032103414048223507578738090265159065274856111961347989540551701333525428712572022999740449 129589074001418374022288288269923600690600906229
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.09/2.09777
Info:Generate Free Relations: Total cpu/real time for freerel: 99.07/25.4199
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 27733735
Info:Lattice Sieving: Average J: 1893.62 for 2543801 special-q, max bucket fill -bkmult 1.0,1s:1.122860
Info:Lattice Sieving: Total time: 654700s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 51.98/142.064
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 141.10000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 466.02/464.223
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 404.6000000000001s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 398.36/410.062
Info:Filtering - Merging: Merged matrix has 2277518 rows and total weight 388735135 (170.7 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 323.65/110.897
Info:Filtering - Merging: Total cpu/real time for replay: 87.67/75.9427
Info:Linear Algebra: Total cpu/real time for bwc: 90336.6/23106.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14751.63, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 452.66, WCT time 131.5
Info:Linear Algebra: Mksol: WCT time 8004.06, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.08/33.4765
Info:Square Root: Total cpu/real time for sqrt: 615.47/193.129
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.31105e+06/47759.9
Info:root: Cleaning up computation data in /tmp/cado.19e4gkxe
1744985165357872285773210406472315806032103414048223507578738090265159065274856111961347989540551701333525428712572022999740449 129589074001418374022288288269923600690600906229
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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)
4511e62100 / 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)
1668Eric JeancolasOctober 16, 2020 05:00:17 UTC 2020 年 10 月 16 日 (金) 14 時 0 分 17 秒 (日本時間)
5043e6320 / 7038Domanov 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

name 名前Edwin Hall
date 日付December 21, 2020 14:40:07 UTC 2020 年 12 月 21 日 (月) 23 時 40 分 7 秒 (日本時間)
composite number 合成数
18412392676397933404281933295922683198363862191415346319531265090905187100052340176705258669437915603981608301918570569787776612696587694640705227<146>
prime factors 素因数
22550018055043035390571618385478006778882134188029<50>
816513433889700467902685975410505045793882707344910783364969270352823961037510151033634856898663<96>
factorization results 素因数分解の結果
p50 factor: 22550018055043035390571618385478006778882134188029
p96 factor: 816513433889700467902685975410505045793882707344910783364969270352823961037510151033634856898663


Msieve v. 1.54 (SVN 1032M)
random seeds: 56ccf2d3 bc37c089
factoring 18412392676397933404281933295922683198363862191415346319531265090905187100052340176705258669437915603981608301918570569787776612696587694640705227 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2
skew 1.00, size 1.520e-13, alpha 1.093, combined = 2.401e-11 rroots = 1

commencing relation filtering
estimated available RAM is 48213.5 MB
commencing duplicate removal, pass 1
found 2081742 hash collisions in 34866812 relations
added 725640 free relations
commencing duplicate removal, pass 2
found 0 duplicates and 35592452 unique relations
memory use: 98.6 MB
reading ideals above 720000
commencing singleton removal, initial pass
memory use: 753.0 MB
reading all ideals from disk
memory use: 1161.7 MB
keeping 39007368 ideals with weight <= 200, target excess is 189194
commencing in-memory singleton removal
begin with 35592452 relations and 39007368 unique ideals
reduce to 12618260 relations and 11870972 ideals in 17 passes
max relations containing the same ideal: 104
removing 1704988 relations and 1441077 ideals in 263911 cliques
commencing in-memory singleton removal
begin with 10913272 relations and 11870972 unique ideals
reduce to 10702628 relations and 10213337 ideals in 9 passes
max relations containing the same ideal: 94
removing 1348921 relations and 1085010 ideals in 263911 cliques
commencing in-memory singleton removal
begin with 9353707 relations and 10213337 unique ideals
reduce to 9194762 relations and 8965250 ideals in 9 passes
max relations containing the same ideal: 84
removing 92879 relations and 82833 ideals in 10046 cliques
commencing in-memory singleton removal
begin with 9101883 relations and 8965250 unique ideals
reduce to 9101267 relations and 8881800 ideals in 5 passes
max relations containing the same ideal: 84
relations with 0 large ideals: 3795
relations with 1 large ideals: 9480
relations with 2 large ideals: 82561
relations with 3 large ideals: 397177
relations with 4 large ideals: 1158409
relations with 5 large ideals: 2123238
relations with 6 large ideals: 2559840
relations with 7+ large ideals: 2766767
commencing 2-way merge
reduce to 5550833 relation sets and 5331366 unique ideals
commencing full merge
memory use: 597.0 MB
found 2559388 cycles, need 2541566
weight of 2541566 cycles is about 229062026 (90.13/cycle)
distribution of cycle lengths:
1 relations: 221604
2 relations: 229399
3 relations: 237485
4 relations: 222929
5 relations: 211285
6 relations: 191968
7 relations: 174975
8 relations: 155398
9 relations: 138621
10+ relations: 757902
heaviest cycle: 28 relations
commencing cycle optimization
start with 18896197 relations
pruned 588017 relations
memory use: 564.3 MB
distribution of cycle lengths:
1 relations: 221604
2 relations: 235087
3 relations: 246236
4 relations: 229905
5 relations: 218138
6 relations: 196980
7 relations: 178963
8 relations: 157820
9 relations: 140225
10+ relations: 716608
heaviest cycle: 28 relations
RelProcTime: 669
elapsed time 00:11:10


Msieve v. 1.54 (SVN 1032M)
random seeds: 1e8a8bc6 20e20cf0
factoring 18412392676397933404281933295922683198363862191415346319531265090905187100052340176705258669437915603981608301918570569787776612696587694640705227 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2
skew 1.00, size 1.520e-13, alpha 1.093, combined = 2.401e-11 rroots = 1

commencing linear algebra
read 2541566 cycles
cycles contain 8925657 unique relations
read 8925657 relations
using 20 quadratic characters above 4294917295
building initial matrix
memory use: 1088.4 MB
read 2541566 cycles
matrix is 2541388 x 2541566 (936.7 MB) with weight 274071937 (107.84/col)
sparse part has weight 217583941 (85.61/col)
filtering completed in 2 passes
matrix is 2540331 x 2540509 (936.6 MB) with weight 274034058 (107.87/col)
sparse part has weight 217570604 (85.64/col)
matrix starts at (0, 0)
matrix is 2540331 x 2540509 (936.6 MB) with weight 274034058 (107.87/col)
sparse part has weight 217570604 (85.64/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 2540283 x 2540509 (889.2 MB) with weight 224902801 (88.53/col)
sparse part has weight 207699091 (81.75/col)
using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
commencing Lanczos iteration (8 threads)
memory use: 844.7 MB
linear algebra at 0.1%, ETA 2h47m
checkpointing every 920000 dimensions
lanczos halted after 40175 iterations (dim = 2540281)
recovered 37 nontrivial dependencies
BLanczosTime: 9032
elapsed time 02:30:33


Msieve v. 1.54 (SVN 1032M)
random seeds: 9f794a0b 215a1bc9
factoring 18412392676397933404281933295922683198363862191415346319531265090905187100052340176705258669437915603981608301918570569787776612696587694640705227 (146 digits)
searching for 15-digit factors
commencing number field sieve (146-digit input)
R0: -1000000000000000000000000000000000000000
R1: 1
A0: 55
A1: 0
A2: 0
A3: 0
A4: 0
A5: 2
skew 1.00, size 1.520e-13, alpha 1.093, combined = 2.401e-11 rroots = 1

commencing square root phase
reading relations for dependency 1
read 1270462 cycles
cycles contain 4465620 unique relations
read 4465620 relations
multiplying 4465620 relations
multiply complete, coefficients have about 105.43 million bits
initial square root is modulo 36924241
GCD is 1, no factor found
reading relations for dependency 2
read 1269718 cycles
cycles contain 4460566 unique relations
read 4460566 relations
multiplying 4460566 relations
multiply complete, coefficients have about 105.31 million bits
initial square root is modulo 36202891
GCD is N, no factor found
reading relations for dependency 3
read 1269198 cycles
cycles contain 4458588 unique relations
read 4458588 relations
multiplying 4458588 relations
multiply complete, coefficients have about 105.26 million bits
initial square root is modulo 35915261
GCD is 1, no factor found
reading relations for dependency 4
read 1270828 cycles
cycles contain 4465414 unique relations
read 4465414 relations
multiplying 4465414 relations
multiply complete, coefficients have about 105.43 million bits
initial square root is modulo 36927691
sqrtTime: 1160
p50 factor: 22550018055043035390571618385478006778882134188029
p96 factor: 816513433889700467902685975410505045793882707344910783364969270352823961037510151033634856898663
elapsed time 00:19:21
software ソフトウェア
CADO-NFS/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)
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)
4511e643232Ignacio 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)
5043e61896 / 7413600Dmitry DomanovJuly 28, 2012 22:15:46 UTC 2012 年 7 月 29 日 (日) 7 時 15 分 46 秒 (日本時間)
1296iveliveSeptember 2, 2020 15:49:10 UTC 2020 年 9 月 3 日 (木) 0 時 49 分 10 秒 (日本時間)

4×10195+113

c165

name 名前Eric Jeancolas
date 日付November 15, 2020 10:48:27 UTC 2020 年 11 月 15 日 (日) 19 時 48 分 27 秒 (日本時間)
composite number 合成数
105298703308794893894955567601887950927390312992469597081148811161077463573711533463526171405134301657950857407355672658320573915972601503725867390793566602175151687<165>
prime factors 素因数
2227135952273601292565530197908697586099021909982513132273<58>
47279872250860714287812337623101886213004270667151032252885937639051950208101305051517739260161860428174519<107>
factorization results 素因数分解の結果
105298703308794893894955567601887950927390312992469597081148811161077463573711533463526171405134301657950857407355672658320573915972601503725867390793566602175151687=2227135952273601292565530197908697586099021909982513132273*47279872250860714287812337623101886213004270667151032252885937639051950208101305051517739260161860428174519

cado polynomial
n: 105298703308794893894955567601887950927390312992469597081148811161077463573711533463526171405134301657950857407355672658320573915972601503725867390793566602175151687
skew: 1.22
type: snfs
c0: 11
c5: 4
Y0: 1000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5+11
# g(x) = -x+1000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 12700000
tasks.lim1 = 12700000
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 55
tasks.sieve.mfb1 = 55
tasks.sieve.lambda0 = 2.5
tasks.sieve.lambda1 = 2.5
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 2227135952273601292565530197908697586099021909982513132273 47279872250860714287812337623101886213004270667151032252885937639051950208101305051517739260161860428174519
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 5.44/2.20484
Info:Generate Free Relations: Total cpu/real time for freerel: 98.23/25.2645
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 26793515
Info:Lattice Sieving: Average J: 1894.18 for 2156761 special-q, max bucket fill -bkmult 1.0,1s:1.078020
Info:Lattice Sieving: Total time: 662971s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 49.35/132.568
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 131.70000000000002s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 428.88/422.476
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 370.7s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 346.92/416.047
Info:Filtering - Merging: Merged matrix has 2278825 rows and total weight 387995446 (170.3 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 335.13/149.248
Info:Filtering - Merging: Total cpu/real time for replay: 89.68/81.2819
Info:Linear Algebra: Total cpu/real time for bwc: 89758.6/22946.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 14641.18, iteration CPU time 0.19, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (71680 iterations)
Info:Linear Algebra: Lingen CPU time 454.66, WCT time 131.91
Info:Linear Algebra: Mksol: WCT time 7959.43, iteration CPU time 0.21, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (35840 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 80.95/32.7898
Info:Square Root: Total cpu/real time for sqrt: 549.85/177.409
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.31587e+06/65196.2
Info:root: Cleaning up computation data in /tmp/cado.zz_qeeck
2227135952273601292565530197908697586099021909982513132273 47279872250860714287812337623101886213004270667151032252885937639051950208101305051517739260161860428174519
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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

name 名前Eric Jeancolas
date 日付October 10, 2020 03:14:37 UTC 2020 年 10 月 10 日 (土) 12 時 14 分 37 秒 (日本時間)
composite number 合成数
255531779151804100197242835785723207286196154818752533096602100692359558084015273987626775273377625967610960685591830594217780846269476989173627101717617885467<159>
prime factors 素因数
8958230911406161099956057695525164318872747657589431258949259388125503<70>
28524803800987714292845261786505807330911921429101203821340774259723574414898056475421989<89>
factorization results 素因数分解の結果
255531779151804100197242835785723207286196154818752533096602100692359558084015273987626775273377625967610960685591830594217780846269476989173627101717617885467=8958230911406161099956057695525164318872747657589431258949259388125503*28524803800987714292845261786505807330911921429101203821340774259723574414898056475421989

cado polynomial
n: 255531779151804100197242835785723207286196154818752533096602100692359558084015273987626775273377625967610960685591830594217780846269476989173627101717617885467
skew: 1.22
type: snfs
c0: 11
c5: 4
Y0: 10000000000000000000000000000000000000000
Y1: -1
# f(x) = 4*x^5+11
# g(x) = -x+10000000000000000000000000000000000000000

cado parameters (extracts)
tasks.lim0 = 15400000
tasks.lim1 = 15400000
tasks.lpb0 = 29
tasks.lpb1 = 29
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.sieve.lambda0 = 2.6
tasks.sieve.lambda1 = 2.6
tasks.I = 12
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.characters.nchar = 50

cado log (extracts)
Info:Square Root: Factors: 28524803800987714292845261786505807330911921429101203821340774259723574414898056475421989 8958230911406161099956057695525164318872747657589431258949259388125503
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 6.5/2.51084
Info:Generate Free Relations: Total cpu/real time for freerel: 202.68/52.5079
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 44729872
Info:Lattice Sieving: Average J: 1894.25 for 2873525 special-q, max bucket fill -bkmult 1.0,1s:1.115740
Info:Lattice Sieving: Total time: 973574s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 88.96/192.578
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 192.3s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 629.15/552.37
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 493.5999999999999s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 406.8/418.716
Info:Filtering - Merging: Merged matrix has 2959195 rows and total weight 505624670 (170.9 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 442.51/127.375
Info:Filtering - Merging: Total cpu/real time for replay: 119.3/103.59
Info:Linear Algebra: Total cpu/real time for bwc: 159075/40725.9
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 26206.53, iteration CPU time 0.27, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (92672 iterations)
Info:Linear Algebra: Lingen CPU time 623.64, WCT time 179.69
Info:Linear Algebra: Mksol: WCT time 13985.51, iteration CPU time 0.28, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (46592 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 111.63/46.3571
Info:Square Root: Total cpu/real time for sqrt: 772.48/251.436
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.86759e+06/529347
Info:root: Cleaning up computation data in /tmp/cado.mom5tzqa
28524803800987714292845261786505807330911921429101203821340774259723574414898056475421989 8958230911406161099956057695525164318872747657589431258949259388125503
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04.4 LTS [5.3.0-51-generic|libc 2.27 (Ubuntu GLIBC 2.27-3ubuntu1.2)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

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

name 名前ebina
date 日付December 27, 2021 07:27:01 UTC 2021 年 12 月 27 日 (月) 16 時 27 分 1 秒 (日本時間)
composite number 合成数
2510138745279173339374124935437315221469660444551653435535481665545070417321709346146212472790516240066396149397582223455733234835827887225957692598639615346855095044281<169>
prime factors 素因数
7677062129408089394743019080299472857427257556209083504083573070592059<70>
326966058495700622518839054808378810462869704064764944236224825792828751564065164475998151754639259<99>
factorization results 素因数分解の結果
Mon Dec 27 16:06:10 2021  Msieve v. 1.53 (SVN unknown)
Mon Dec 27 16:06:10 2021  random seeds: 5f0b0440 75b2a3a2
Mon Dec 27 16:06:10 2021  factoring 2510138745279173339374124935437315221469660444551653435535481665545070417321709346146212472790516240066396149397582223455733234835827887225957692598639615346855095044281 (169 digits)
Mon Dec 27 16:06:11 2021  searching for 15-digit factors
Mon Dec 27 16:06:11 2021  commencing number field sieve (169-digit input)
Mon Dec 27 16:06:11 2021  R0: -1000000000000000000000000000000000000000000
Mon Dec 27 16:06:11 2021  R1: 1
Mon Dec 27 16:06:11 2021  A0: 55
Mon Dec 27 16:06:11 2021  A1: 0
Mon Dec 27 16:06:11 2021  A2: 0
Mon Dec 27 16:06:11 2021  A3: 0
Mon Dec 27 16:06:11 2021  A4: 0
Mon Dec 27 16:06:11 2021  A5: 2
Mon Dec 27 16:06:11 2021  skew 1.94, size 1.520e-14, alpha 1.093, combined = 5.951e-12 rroots = 1
Mon Dec 27 16:06:11 2021  
Mon Dec 27 16:06:11 2021  commencing square root phase
Mon Dec 27 16:06:11 2021  reading relations for dependency 1
Mon Dec 27 16:06:12 2021  read 2152415 cycles
Mon Dec 27 16:06:16 2021  cycles contain 7089272 unique relations
Mon Dec 27 16:07:35 2021  read 7089272 relations
Mon Dec 27 16:08:07 2021  multiplying 7089272 relations
Mon Dec 27 16:11:06 2021  multiply complete, coefficients have about 180.91 million bits
Mon Dec 27 16:11:08 2021  initial square root is modulo 3106601
Mon Dec 27 16:14:58 2021  sqrtTime: 527
Mon Dec 27 16:14:58 2021  p70 factor: 7677062129408089394743019080299472857427257556209083504083573070592059
Mon Dec 27 16:14:58 2021  p99 factor: 326966058495700622518839054808378810462869704064764944236224825792828751564065164475998151754639259
Mon Dec 27 16:14:58 2021  elapsed time 00:08:48

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

name 名前Bob Backstrom
date 日付November 19, 2019 14:23:47 UTC 2019 年 11 月 19 日 (火) 23 時 23 分 47 秒 (日本時間)
composite number 合成数
407821664724568921540178891177142264519718060240704299042902706586983615061127318793695733656238371028952514030416175789571035534755699070718183229522838354775220066432721807805741327669750746637354892336253<207>
prime factors 素因数
57105261859020073986487761507998034909176280077<47>
92715709532478799719475741648339702436578969496621<50>
77026619732559668655941735020819217733077429574368219000285629724506694477139537594176219077278699117797058709<110>
factorization results 素因数分解の結果
Number: n
N=407821664724568921540178891177142264519718060240704299042902706586983615061127318793695733656238371028952514030416175789571035534755699070718183229522838354775220066432721807805741327669750746637354892336253
  ( 207 digits)
SNFS difficulty: 215 digits.
Divisors found:

Wed Nov 20 01:14:23 2019  found factor: 92715709532478799719475741648339702436578969496621
Wed Nov 20 01:18:40 2019  p47 factor: 57105261859020073986487761507998034909176280077
Wed Nov 20 01:18:40 2019  p50 factor: 92715709532478799719475741648339702436578969496621
Wed Nov 20 01:18:40 2019  p110 factor: 77026619732559668655941735020819217733077429574368219000285629724506694477139537594176219077278699117797058709
Wed Nov 20 01:18:40 2019  elapsed time 05:31:35 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.130).
Factorization parameters were as follows:
#
# N = 4x10^214+11 = 13(213)7
#
n: 407821664724568921540178891177142264519718060240704299042902706586983615061127318793695733656238371028952514030416175789571035534755699070718183229522838354775220066432721807805741327669750746637354892336253
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 2
c0: 55
skew: 1.94
# Murphy_E = 3.637e-12
type: snfs
lss: 1
rlim: 27000000
alim: 27000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 27000000/27000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 17500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 8487904 hash collisions in 60337192 relations (54193297 unique)
Msieve: matrix is 3525454 x 3525680 (1228.2 MB)

Sieving start time: 2019/11/19 19:45:02
Sieving end time  : 2019/11/19 19:45:32

Total sieving time: 0hrs 0min 30secs.

Total relation processing time: 5hrs 3min 32sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 33sec.

Prototype def-par.txt line would be:
snfs,215,5,0,0,0,0,0,0,0,0,27000000,27000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 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 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

name 名前Erik Branger
date 日付May 15, 2020 14:45:05 UTC 2020 年 5 月 15 日 (金) 23 時 45 分 5 秒 (日本時間)
composite number 合成数
19722027155533163558983803273934135092748706337843578197373670088987292492687782855131258683405503908219803084107979118742367713177597025926266279617036708205738047594535370893195466408628747683<194>
prime factors 素因数
85424256971635494987144897344409477127814999<44>
230871509506740218386835494361149798884554622370478847303655825862262710382346790794460669722772990884090208958263225810508717496659765733719593607317<150>
factorization results 素因数分解の結果
Number: 13337_219
N = 19722027155533163558983803273934135092748706337843578197373670088987292492687782855131258683405503908219803084107979118742367713177597025926266279617036708205738047594535370893195466408628747683 (194 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=85424256971635494987144897344409477127814999 (pp44)
r2=230871509506740218386835494361149798884554622370478847303655825862262710382346790794460669722772990884090208958263225810508717496659765733719593607317 (pp150)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 45.48 hours.
Factorization parameters were as follows:
n: 19722027155533163558983803273934135092748706337843578197373670088987292492687782855131258683405503908219803084107979118742367713177597025926266279617036708205738047594535370893195466408628747683
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 2
c0: 55
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 36409071
Relations: 7023802 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 24.02 hours.
Total relation processing time: 0.44 hours.
Pruned matrix : 6453474 x 6453700
Matrix solve time: 20.54 hours.
time per square root: 0.49 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 45.48 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
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 10:22:47 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

name 名前Erik Branger
date 日付November 18, 2018 14:24:54 UTC 2018 年 11 月 18 日 (日) 23 時 24 分 54 秒 (日本時間)
composite number 合成数
5238823944095723199686500026233790512276787091774162725009136437620987860912441104028780724657854873152263110331939838724913206983539412826425523421640713700781323105686682778068998672643805670999<196>
prime factors 素因数
56610018989067572153418515245564507024349726030110490383<56>
92542345642163372461910948910797454893323019573730319705142115478817602693420344798040715192485760535442229521351262295002370369685875792953<140>
factorization results 素因数分解の結果
Number: 13337_220
N = 5238823944095723199686500026233790512276787091774162725009136437620987860912441104028780724657854873152263110331939838724913206983539412826425523421640713700781323105686682778068998672643805670999 (196 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=56610018989067572153418515245564507024349726030110490383 (pp56)
r2=92542345642163372461910948910797454893323019573730319705142115478817602693420344798040715192485760535442229521351262295002370369685875792953 (pp140)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 27.74 hours.
Factorization parameters were as follows:
n: 5238823944095723199686500026233790512276787091774162725009136437620987860912441104028780724657854873152263110331939838724913206983539412826425523421640713700781323105686682778068998672643805670999
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 4
c0: 11
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 30706227
Relations: 7064056 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.23 hours.
Total relation processing time: 0.24 hours.
Pruned matrix : 6252282 x 6252507
Matrix solve time: 14.04 hours.
time per square root: 0.24 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 27.74 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
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 10:22:32 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

name 名前Robert Balfour
date 日付March 30, 2020 10:53:58 UTC 2020 年 3 月 30 日 (月) 19 時 53 分 58 秒 (日本時間)
composite number 合成数
720105974850319982416813772390826925757574925593667389544505481706415643530558601809084643721448084284432462955036148269456295588328438523679211<144>
prime factors 素因数
1761645769210162218170064613057692331402105270294783<52>
408768883867714841975290028096898732738136316777540464612135021069572894042770827149616151317<93>
factorization results 素因数分解の結果
PID9840 2020-03-30 04:57:38,522 Debug:root: Root parameter dictionary:
N = 720105974850319982416813772390826925757574925593667389544505481706415643530558601809084643721448084284432462955036148269456295588328438523679211
name = 13337_233
tasks.I = 14
tasks.lim0 = 13000000
tasks.lim1 = 20000000
tasks.lpb0 = 30
tasks.lpb1 = 31
tasks.qmin = 100000
tasks.threads = 6
tasks.wutimeout = 1800
tasks.filter.required_excess = 0.1
tasks.filter.target_density = 135.0
tasks.filter.purge.keep = 175
tasks.linalg.m = 64
tasks.linalg.n = 64
tasks.linalg.bwc.interleaving = 0
tasks.linalg.bwc.threads = 6
tasks.linalg.characters.nchar = 50
tasks.polyselect.P = 300000
tasks.polyselect.admax = 20e4
tasks.polyselect.admin = 12600
tasks.polyselect.adrange = 840
tasks.polyselect.degree = 5
tasks.polyselect.incr = 60
tasks.polyselect.nq = 15625
tasks.polyselect.nrkeep = 100
tasks.polyselect.threads = 2
tasks.sieve.lambda0 = 1.81
tasks.sieve.lambda1 = 1.79
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 58
tasks.sieve.ncurves0 = 19
tasks.sieve.ncurves1 = 22
tasks.sieve.qrange = 5000
tasks.sieve.rels_wanted = 85000000
tasks.sieve.las.threads = 2
tasks.sqrt.threads = 2
PID9840 2020-03-30 05:21:34,011 Info:Polynomial Selection (root optimized): Best polynomial is:
n: 720105974850319982416813772390826925757574925593667389544505481706415643530558601809084643721448084284432462955036148269456295588328438523679211
skew: 305312.905
c0: -131919041696628679212265672633650
c1: 2988161263503175381583457104
c2: -21006720626833766029911
c3: -85560018358832339
c4: 124376827386
c5: 174960
Y0: -7558081048439007429516057784
Y1: 13518343646648082007
# MurphyE (Bf=2.147e+09,Bg=1.074e+09,area=1.342e+13) = 3.045e-06
PID9840 2020-03-30 09:38:41,753 Info:Square Root: Factors: 408768883867714841975290028096898732738136316777540464612135021069572894042770827149616151317 1761645769210162218170064613057692331402105270294783
PID9840 2020-03-30 09:38:41,753 Debug:Square Root: Exit SqrtTask.run(sqrt)
PID9840 2020-03-30 09:38:41,753 Info:Polynomial Selection (size optimized): Aggregate statistics:
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (size optimized): potential collisions: 144726
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 146809/42.470/52.374/59.610/1.228
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 121843/41.210/46.281/52.860/0.964
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (size optimized): Total time: 62008.9
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (root optimized): Aggregate statistics:
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (root optimized): Total time: 2283.07
PID9840 2020-03-30 09:38:41,754 Info:Polynomial Selection (root optimized): Rootsieve time: 2280.49
PID9840 2020-03-30 09:38:41,754 Info:Generate Factor Base: Total cpu/real time for makefb: 14.33/2.90218
PID9840 2020-03-30 09:38:41,754 Info:Generate Free Relations: Total cpu/real time for freerel: 1342.04/226.851
PID9840 2020-03-30 09:38:41,754 Info:Lattice Sieving: Aggregate statistics:
PID9840 2020-03-30 09:38:41,754 Info:Lattice Sieving: Total number of relations: 101775269
PID9840 2020-03-30 09:38:41,754 Info:Lattice Sieving: Average J: 7854.39 for 509109 special-q, max bucket fill -bkmult 1.0,1s:1.084230
PID9840 2020-03-30 09:38:41,754 Info:Lattice Sieving: Total time: 482276s
PID9840 2020-03-30 09:38:41,754 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 291.78/287.785
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 285.8s
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 1131.16/441.197
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 350.9s
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Singleton removal: Total cpu/real time for purge: 514.09/227.462
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Merging: Total cpu/real time for merge: 139.46/32.0434
PID9840 2020-03-30 09:38:41,755 Info:Filtering - Merging: Total cpu/real time for replay: 48.94/50.0599
PID9840 2020-03-30 09:38:41,755 Info:Linear Algebra: Total cpu/real time for bwc: 34864.5/6165.71
PID9840 2020-03-30 09:38:41,755 Info:Linear Algebra: Aggregate statistics:
PID9840 2020-03-30 09:38:41,755 Info:Linear Algebra: Krylov: WCT time 3921.32, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61696 iterations)
PID9840 2020-03-30 09:38:41,755 Info:Linear Algebra: Lingen CPU time 237.61, WCT time 44.66
PID9840 2020-03-30 09:38:41,755 Info:Linear Algebra: Mksol: WCT time 2118.29, iteration CPU time 0.06, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (29696 iterations)
PID9840 2020-03-30 09:38:41,755 Info:Quadratic Characters: Total cpu/real time for characters: 64.35/20.3609
PID9840 2020-03-30 09:38:41,756 Info:Square Root: Total cpu/real time for sqrt: 532.3/121.389
PID9840 2020-03-30 09:38:41,756 Info:HTTP server: Shutting down HTTP server
PID9840 2020-03-30 09:38:42,247 Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.09484e+06/16862.7
software ソフトウェア
CADO-NFS

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

name 名前yoyo
date 日付May 3, 2022 20:25:12 UTC 2022 年 5 月 4 日 (水) 5 時 25 分 12 秒 (日本時間)
composite number 合成数
370869891647059679741911212538863548511248863058907646484003243404477859271054066806370239676293883847006739239614616591340157705448920857856504003826823<153>
prime factors 素因数
2831531697755639516078890174850155066798309<43>
130978541381338850015281122403104723480963177404417347223027565420705189536031045127077995032582956766693610747<111>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 370869891647059679741911212538863548511248863058907646484003243404477859271054066806370239676293883847006739239614616591340157705448920857856504003826823 (153 digits)
[Tue May 03 11:01:03 2022]
Using MODMULN [mulredc:1, sqrredc:1]
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=0:406204112852094858
dF=65536, k=5, d=690690, d2=17, i0=46
Expected number of curves to find a factor of n digits:
35   40      45      50      55      60      65      70      75      80
55      246     1286    7557    49831   361851  2844041 2.4e+07 2.2e+08 2.2e+09
Writing checkpoint to checkpnt at p = 43000000
Step 1 took 131843ms
Using 19 small primes for NTT
Estimated memory usage: 213.50MB
Initializing tables of differences for F took 47ms
Computing roots of F took 2562ms
Building F from its roots took 2328ms
Computing 1/F took 953ms
Initializing table of differences for G took 46ms
Computing roots of G took 2047ms
Building G from its roots took 2297ms
Computing roots of G took 2062ms
Building G from its roots took 2282ms
Computing G * H took 563ms
Reducing  G * H mod F took 547ms
Computing roots of G took 2062ms
Building G from its roots took 2297ms
Computing G * H took 546ms
Reducing  G * H mod F took 563ms
Computing roots of G took 2062ms
Building G from its roots took 2297ms
Computing G * H took 562ms
Reducing  G * H mod F took 563ms
Computing roots of G took 2062ms
Building G from its roots took 2282ms
Computing G * H took 532ms
Reducing  G * H mod F took 578ms
Computing polyeval(F,G) took 4547ms
Computing product of all F(g_i) took 31ms
Step 2 took 37032ms
********** Factor found in step 2: 2831531697755639516078890174850155066798309
Found prime factor of 43 digits: 2831531697755639516078890174850155066798309
Prime cofactor 130978541381338850015281122403104723480963177404417347223027565420705189536031045127077995032582956766693610747 has 111 digits
Peak memory usage: 299MB
software ソフトウェア
GMP-ECM 7.0.5-dev

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--
403e6600Dmitry DomanovMarch 25, 2016 08:04:58 UTC 2016 年 3 月 25 日 (金) 17 時 4 分 58 秒 (日本時間)
4511e61000 / 4346Lionel DebrouxJuly 20, 2020 14:06:16 UTC 2020 年 7 月 20 日 (月) 23 時 6 分 16 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--
403e62950600Dmitry DomanovMarch 25, 2016 08:06:02 UTC 2016 年 3 月 25 日 (金) 17 時 6 分 2 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 15:42:24 UTC 2022 年 2 月 11 日 (金) 0 時 42 分 24 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--
403e62950600Dmitry DomanovMarch 25, 2016 08:05:18 UTC 2016 年 3 月 25 日 (金) 17 時 5 分 18 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 15:54:49 UTC 2022 年 2 月 11 日 (金) 0 時 54 分 49 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--
403e63150800Erik BrangerNovember 16, 2015 16:41:25 UTC 2015 年 11 月 17 日 (火) 1 時 41 分 25 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 16:26:51 UTC 2022 年 2 月 11 日 (金) 1 時 26 分 51 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--
403e62950600Dmitry DomanovMarch 10, 2016 21:34:51 UTC 2016 年 3 月 11 日 (金) 6 時 34 分 51 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 16:27:32 UTC 2022 年 2 月 11 日 (金) 1 時 27 分 32 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--
403e62950600Dmitry DomanovMarch 10, 2016 21:33:24 UTC 2016 年 3 月 11 日 (金) 6 時 33 分 24 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2022 16:48:38 UTC 2022 年 2 月 11 日 (金) 1 時 48 分 38 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)