Table of contents 目次

10157-5×1078-1

c155

name 名前Dmitry Domanov
date 日付February 17, 2011 05:16:48 UTC 2011 年 2 月 17 日 (木) 14 時 16 分 48 秒 (日本時間)
composite number 合成数
17331022530329289428076256499133448873483535528596187175043327556325823223570181975736568457538994800693240901213171577123050259965337954939341421143847487<155>
prime factors 素因数
45272775806455281933952896737651553289<38>
382813340282486531088172386717216740018488071404816437186027921826199386850107261127083318834641847198914704002520583<117>
factorization results 素因数分解の結果
N=17331022530329289428076256499133448873483535528596187175043327556325823223570181975736568457538994800693240901213171577123050259965337954939341421143847487
  ( 155 digits)
SNFS difficulty: 157 digits.
Divisors found:
 r1=45272775806455281933952896737651553289 (pp38)
 r2=382813340282486531088172386717216740018488071404816437186027921826199386850107261127083318834641847198914704002520583 (pp117)
Version: Msieve-1.40
Total time: 28.87 hours.
Scaled time: 54.83 units (timescale=1.899).
Factorization parameters were as follows:
n: 17331022530329289428076256499133448873483535528596187175043327556325823223570181975736568457538994800693240901213171577123050259965337954939341421143847487
m: 100000000000000000000000000
deg: 6
c6: 10
c3: -5
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2900000/2900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1450000, 3350001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 531929 x 532154
Total sieving time: 28.44 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.31 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,157.000,6,0,0,0,0,0,0,0,0,2900000,2900000,27,27,50,50,2.4,2.4,100000
total time: 28.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)

10163-5×1081-1

c146

name 名前Sinkiti Sibata
date 日付February 18, 2011 13:37:23 UTC 2011 年 2 月 18 日 (金) 22 時 37 分 23 秒 (日本時間)
composite number 合成数
14842375415501081801662841909368883335320848024506714302142870106801571120261587842604205517196211926002412995921181045105872529662214974741112137<146>
prime factors 素因数
306253497499490258753878198867053668223628508492981<51>
48464345833391783803874543368704688565508708075967998790372018641705757550965295774547884244677<95>
factorization results 素因数分解の結果
Number: 99499_81
N=14842375415501081801662841909368883335320848024506714302142870106801571120261587842604205517196211926002412995921181045105872529662214974741112137
  ( 146 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=306253497499490258753878198867053668223628508492981 (pp51)
 r2=48464345833391783803874543368704688565508708075967998790372018641705757550965295774547884244677 (pp95)
Version: Msieve-1.40
Total time: 46.87 hours.
Scaled time: 152.53 units (timescale=3.254).
Factorization parameters were as follows:
name: 99499_81
n: 14842375415501081801662841909368883335320848024506714302142870106801571120261587842604205517196211926002412995921181045105872529662214974741112137
m: 1000000000000000000000000000
deg: 6
c6: 10
c3: -5
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 670956 x 671204
Total sieving time: 45.67 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.86 hours.
Time per square root: 0.26 hours.
Prototype def-par.txt line would be:
snfs,163.000,6,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 46.87 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovFebruary 16, 2011 00:05:29 UTC 2011 年 2 月 16 日 (水) 9 時 5 分 29 秒 (日本時間)

10171-5×1085-1

c134

name 名前Sinkiti Sibata
date 日付March 26, 2011 06:56:29 UTC 2011 年 3 月 26 日 (土) 15 時 56 分 29 秒 (日本時間)
composite number 合成数
86880081535791639369953383126346701801548385372153741046786268677113831508362970340112504144421422798649033325149958463139346368981819<134>
prime factors 素因数
7333376610004568531641601546182858178629037453<46>
11847213931064903401742037420878279213240420975977163751550089925407041500062342873486823<89>
factorization results 素因数分解の結果
Number: 99499_85
N=86880081535791639369953383126346701801548385372153741046786268677113831508362970340112504144421422798649033325149958463139346368981819
  ( 134 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=7333376610004568531641601546182858178629037453 (pp46)
 r2=11847213931064903401742037420878279213240420975977163751550089925407041500062342873486823 (pp89)
Version: Msieve-1.40
Total time: 183.36 hours.
Scaled time: 402.47 units (timescale=2.195).
Factorization parameters were as follows:
name: 99499_85
n: 86880081535791639369953383126346701801548385372153741046786268677113831508362970340112504144421422798649033325149958463139346368981819
m: 10000000000000000000000000000
deg: 6
c6: 1000
c3: -50
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 966362 x 966610
Total sieving time: 179.67 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 2.23 hours.
Time per square root: 1.31 hours.
Prototype def-par.txt line would be:
snfs,171.000,6,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 183.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
403e6400 / 2318Dmitry DomanovFebruary 16, 2011 00:07:23 UTC 2011 年 2 月 16 日 (水) 9 時 7 分 23 秒 (日本時間)

10177-5×1088-1

c154

name 名前Ignacio Santos
date 日付February 18, 2011 13:38:09 UTC 2011 年 2 月 18 日 (金) 22 時 38 分 9 秒 (日本時間)
composite number 合成数
2234716738778108758933314550917346457750114506153071947258822233970437143794698589880331180245965239139182517782889842483081271405853326715447367329985139<154>
prime factors 素因数
403034470498744989017198420079296269<36>
5544728558856772659526980526715672796850207579635661712405654249752344958027193172243823558744132193570192182360463231<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1781052737
Step 1 took 21887ms
Step 2 took 13026ms
********** Factor found in step 2: 403034470498744989017198420079296269
Found probable prime factor of 36 digits: 403034470498744989017198420079296269
Probable prime cofactor 5544728558856772659526980526715672796850207579635661712405654249752344958027193172243823558744132193570192182360463231 has 118 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 KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)

10181-5×1090-1

c177

name 名前Wataru Sakai
date 日付September 3, 2011 07:41:56 UTC 2011 年 9 月 3 日 (土) 16 時 41 分 56 秒 (日本時間)
composite number 合成数
820277253711754573045689443031744729718644901976868181445328521040111557706504798621934213354113690427364449183824132556804199819539004183413993929948322533016159461898121565089<177>
prime factors 素因数
11963805217373749299775730148846456183048615858487<50>
68563240441306585503263136530124473067201036470137625213694955036028108050672694117589868489745282026746147543725284489375452647<128>
factorization results 素因数分解の結果
Number: 99499_90
N=820277253711754573045689443031744729718644901976868181445328521040111557706504798621934213354113690427364449183824132556804199819539004183413993929948322533016159461898121565089
  ( 177 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=11963805217373749299775730148846456183048615858487
 r2=68563240441306585503263136530124473067201036470137625213694955036028108050672694117589868489745282026746147543725284489375452647
Version: 
Total time: 902.50 hours.
Scaled time: 1118.20 units (timescale=1.239).
Factorization parameters were as follows:
n: 820277253711754573045689443031744729718644901976868181445328521040111557706504798621934213354113690427364449183824132556804199819539004183413993929948322533016159461898121565089
m: 1000000000000000000000000000000
deg: 6
c6: 10
c3: -5
c0: -1
skew: 0.68
type: snfs
lss: 1
rlim: 7300000
alim: 7300000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7300000/7300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3650000, 6050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 964722 x 964970
Total sieving time: 902.50 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,181,6,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000
total time: 902.50 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovFebruary 16, 2011 05:40:29 UTC 2011 年 2 月 16 日 (水) 14 時 40 分 29 秒 (日本時間)
4511e61200 / 4387600Dmitry DomanovMarch 7, 2011 23:43:52 UTC 2011 年 3 月 8 日 (火) 8 時 43 分 52 秒 (日本時間)
600Serge BatalovJune 25, 2011 18:43:23 UTC 2011 年 6 月 26 日 (日) 3 時 43 分 23 秒 (日本時間)

10185-5×1092-1

c154

name 名前Jo Yeong Uk
date 日付April 24, 2012 10:14:43 UTC 2012 年 4 月 24 日 (火) 19 時 14 分 43 秒 (日本時間)
composite number 合成数
3098318910939744920738614388334313487118987352151259256093460356604632449720758534013650375786208941489932911533667659040170083408077791133479123720978893<154>
prime factors 素因数
20012109446617285105127291628477094096046291193932078833714854309577123<71>
154822204985665031909000436865814751525686261870466742414287877768693212307219350991<84>
factorization results 素因数分解の結果
Number: 99499_92
N=3098318910939744920738614388334313487118987352151259256093460356604632449720758534013650375786208941489932911533667659040170083408077791133479123720978893
  ( 154 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=20012109446617285105127291628477094096046291193932078833714854309577123
 r2=154822204985665031909000436865814751525686261870466742414287877768693212307219350991
Version: 
Total time: 120.69 hours.
Scaled time: 443.90 units (timescale=3.678).
Factorization parameters were as follows:
n: 3098318910939744920738614388334313487118987352151259256093460356604632449720758534013650375786208941489932911533667659040170083408077791133479123720978893
m: 10000000000000000000000000000000
deg: 6
c6: 1
c3: -5
c0: -10
skew: 1.47
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [3500000, 8100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20321785
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1559267 x 1559515
Total sieving time: 113.70 hours.
Total relation processing time: 2.00 hours.
Matrix solve time: 4.58 hours.
Time per square root: 0.41 hours.
Prototype def-par.txt line would be:
snfs,186,6,0,0,0,0,0,0,0,0,7000000,7000000,28,28,54,54,2.5,2.5,100000
total time: 120.69 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581164k/26214400k available (5085k kernel code, 1057684k absent, 575552k reserved, 7228k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6666.89 BogoMIPS (lpj=3333447)
Total of 12 processors activated (79997.79 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 18, 2011 13:39:58 UTC 2011 年 2 月 18 日 (金) 22 時 39 分 58 秒 (日本時間)
403e6110Ignacio SantosFebruary 18, 2011 13:39:58 UTC 2011 年 2 月 18 日 (金) 22 時 39 分 58 秒 (日本時間)
4511e6832 / 443732Ignacio SantosFebruary 18, 2011 13:39:58 UTC 2011 年 2 月 18 日 (金) 22 時 39 分 58 秒 (日本時間)
800Dmitry DomanovMarch 26, 2012 12:15:46 UTC 2012 年 3 月 26 日 (月) 21 時 15 分 46 秒 (日本時間)

10193-5×1096-1

c189

name 名前Kenji Ibusuki
date 日付June 6, 2011 16:03:16 UTC 2011 年 6 月 7 日 (火) 1 時 3 分 16 秒 (日本時間)
composite number 合成数
264683306423863846907175564437150948889653529551891162224398507186151769407903443529816574468648130012440115401921600804637251528546094597813715888938884624546729837749133162171461845901379<189>
prime factors 素因数
9202900459854165792437473438032800675041<40>
28760857251308155921664617810875141636448143576694878018374242003239234965652392139539396418032818368239058839943875649342576987294061287897458611619<149>
factorization results 素因数分解の結果
Number: 99499_96
N=264683306423863846907175564437150948889653529551891162224398507186151769407903443529816574468648130012440115401921600804637251528546094597813715888938884624546729837749133162171461845901379
  ( 189 digits)
SNFS difficulty: 193 digits.
Divisors found:
 r1=9202900459854165792437473438032800675041 (pp40)
 r2=28760857251308155921664617810875141636448143576694878018374242003239234965652392139539396418032818368239058839943875649342576987294061287897458611619 (pp149)
Version: GGNFS-0.77.1-VC8(Sat
Total time: 716.01 hours.
Scaled time: 937.25 units (timescale=1.309).
Factorization parameters were as follows:
n: 264683306423863846907175564437150948889653529551891162224398507186151769407903443529816574468648130012440115401921600804637251528546094597813715888938884624546729837749133162171461845901379
m: 100000000000000000000000000000000
deg: 6
c6: 10
c3: -5
c0: -1
skew: 0.681
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.2
alambda: 2.2
qintsize: 5000
relslim: 25000000

Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [4500000, 17940001)
Relations: rels:14591107, finalFF:1354977
Initial matrix: 1204713 x 1354977 with sparse part having weight 187571580.
Pruned matrix : 1101185 x 1107272 with weight 169326072.
Total sieving time: 657.33 hours.
Total relation processing time: 34.07 hours.
Matrix pruned processing time: 0.38 hours.
Matrix solve time: 22.65 hours.
Total time of square root: 1.57 hours.
Prototype def-par.txt line would be:
snfs,193.000,6,0,0,0,0,0,0,0,0,9000000,9000000,28,28,52,52,2.2,2.2,100000
total time: 716.01 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS-0.77.1-VC8 with factLat.pl (decomposed + modified)
execution environment 実行環境
Core2-Quad 2.66GHz: Windows XP and Cygwin
Core2-Quad 2.40GHz: Windows Vista

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
403e6400Dmitry DomanovFebruary 16, 2011 05:40:06 UTC 2011 年 2 月 16 日 (水) 14 時 40 分 6 秒 (日本時間)
4511e6560 / 4387Dmitry DomanovMarch 5, 2011 10:52:07 UTC 2011 年 3 月 5 日 (土) 19 時 52 分 7 秒 (日本時間)

10199-5×1099-1

c172

name 名前Jo Yeong Uk
date 日付April 16, 2012 10:49:07 UTC 2012 年 4 月 16 日 (月) 19 時 49 分 7 秒 (日本時間)
composite number 合成数
2688121938406189959787914949195883108670824463862984718727117238221783327452750669070323991894938806732098093261220862666948084518522937354643827782926806036217231434916557<172>
prime factors 素因数
74238246170605100499591201206132768084130786653<47>
composite cofactor 合成数の残り
36209394443784172671277510073157060552138726779946433529367862885910929870209994680844903724424724413881385754244596884587569<125>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.2 and --enable-asm-redc] [ECM]
Input number is 2688121938406189959787914949195883108670824463862984718727117238221783327452750669070323991894938806732098093261220862666948084518522937354643827782926806036217231434916557 (172 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7149967077
Step 1 took 10721ms
Step 2 took 4463ms
********** Factor found in step 2: 74238246170605100499591201206132768084130786653
Found probable prime factor of 47 digits: 74238246170605100499591201206132768084130786653
Composite cofactor 36209394443784172671277510073157060552138726779946433529367862885910929870209994680844903724424724413881385754244596884587569 has 125 digits
execution environment 実行環境
Core i7 980

c125

name 名前Warut Roonguthai
date 日付April 21, 2012 05:48:15 UTC 2012 年 4 月 21 日 (土) 14 時 48 分 15 秒 (日本時間)
composite number 合成数
36209394443784172671277510073157060552138726779946433529367862885910929870209994680844903724424724413881385754244596884587569<125>
prime factors 素因数
897658871813847986886377309489334093774182248484604281189093<60>
40337588788732092015071718788016948003539847063992270376502557533<65>
factorization results 素因数分解の結果
N = 36209394443784172671277510073157060552138726779946433529367862885910929870209994680844903724424724413881385754244596884587569 (125 digits)
Divisors found:
r1=897658871813847986886377309489334093774182248484604281189093 (pp60)
r2=40337588788732092015071718788016948003539847063992270376502557533 (pp65)
Version: Msieve v. 1.49 (SVN unknown)
Total time: 13.68 hours.
Factorization parameters were as follows:
n: 36209394443784172671277510073157060552138726779946433529367862885910929870209994680844903724424724413881385754244596884587569
Y0: -1688280042067730899396530
Y1: 31351665550807
c0: -6288142357751894054925074147303
c1: -11013575697606606587418837
c2: 206024512363178640711
c3: 76926403261677
c4: -1668639568
c5: 2640
skew: 326608.20 
type: gnfs
Factor base limits: 5500000/5500000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 11146147
Relations: 1658748 relations
Pruned matrix : 958983 x 959218
Polynomial selection time: 0.00 hours.
Total sieving time: 12.82 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.67 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,5500000,5500000,27,27,53,53,2.5,2.5,100000
total time: 13.68 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
351e6418118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 18, 2011 13:40:25 UTC 2011 年 2 月 18 日 (金) 22 時 40 分 25 秒 (日本時間)
403e6110 / 2126Ignacio SantosFebruary 18, 2011 13:40:25 UTC 2011 年 2 月 18 日 (金) 22 時 40 分 25 秒 (日本時間)
4511e632 / 4437Ignacio SantosFebruary 18, 2011 13:40:25 UTC 2011 年 2 月 18 日 (金) 22 時 40 分 25 秒 (日本時間)

10201-5×10100-1

c146

name 名前Jo Yeong Uk
date 日付June 10, 2012 08:55:30 UTC 2012 年 6 月 10 日 (日) 17 時 55 分 30 秒 (日本時間)
composite number 合成数
22078234552868937471909132495960197330044222611343327150863804913293972848720952029860910669777735726033068826733861319399881387833051543071071373<146>
prime factors 素因数
1822549599672050204693450129963481617060000879066843822439954570694553173<73>
12113927959404615197607882613267050756700962638584677351029921355268013401<74>
factorization results 素因数分解の結果
Number: 99499_100
N=22078234552868937471909132495960197330044222611343327150863804913293972848720952029860910669777735726033068826733861319399881387833051543071071373
  ( 146 digits)
SNFS difficulty: 201 digits.
Divisors found:
 r1=1822549599672050204693450129963481617060000879066843822439954570694553173
 r2=12113927959404615197607882613267050756700962638584677351029921355268013401
Version: 
Total time: 455.61 hours.
Scaled time: 1663.90 units (timescale=3.652).
Factorization parameters were as follows:
n: 22078234552868937471909132495960197330044222611343327150863804913293972848720952029860910669777735726033068826733861319399881387833051543071071373
m: 1000000000000000000000000000000000
deg: 6
c6: 1000
c3: -50
c0: -1
skew: 0.32
type: snfs
lss: 1
rlim: 20000000
alim: 20000000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 20000000/20000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [10000000, 23300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 39796316
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3570829 x 3571077
Total sieving time: 410.62 hours.
Total relation processing time: 10.73 hours.
Matrix solve time: 33.20 hours.
Time per square root: 1.06 hours.
Prototype def-par.txt line would be:
snfs,201,6,0,0,0,0,0,0,0,0,20000000,20000000,29,29,56,56,2.6,2.6,100000
total time: 455.61 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7 CPU         980  @ 3.33GHz stepping 02
Memory: 24581160k/26214400k available (5086k kernel code, 1057684k absent, 575556k reserved, 7227k data, 1244k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6667.07 BogoMIPS (lpj=3333538)
Total of 12 processors activated (79997.97 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7 980

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaFebruary 15, 2011 02:00:00 UTC 2011 年 2 月 15 日 (火) 11 時 0 分 0 秒 (日本時間)
300Ignacio SantosFebruary 18, 2011 13:41:28 UTC 2011 年 2 月 18 日 (金) 22 時 41 分 28 秒 (日本時間)
403e6110Ignacio SantosFebruary 18, 2011 13:41:28 UTC 2011 年 2 月 18 日 (金) 22 時 41 分 28 秒 (日本時間)
4511e6443732Ignacio SantosFebruary 18, 2011 13:41:28 UTC 2011 年 2 月 18 日 (金) 22 時 41 分 28 秒 (日本時間)
600Dmitry DomanovFebruary 25, 2011 12:31:42 UTC 2011 年 2 月 25 日 (金) 21 時 31 分 42 秒 (日本時間)
3805Jo Yeong UkMay 22, 2012 19:38:06 UTC 2012 年 5 月 23 日 (水) 4 時 38 分 6 秒 (日本時間)

10207-5×10103-1

c141

name 名前Warut Roonguthai
date 日付December 5, 2011 02:21:43 UTC 2011 年 12 月 5 日 (月) 11 時 21 分 43 秒 (日本時間)
composite number 合成数
254056884489441734615019065493929671008719975712195503851796184857151431804270109407547997816774209247529448351500873523040673113870041551093<141>
prime factors 素因数
4443830583614597428120705183589<31>
5088026524064685939759188615682822547<37>
11236320227712343170813854237842051239219707078308142717704805725442773771<74>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3318955788
Step 1 took 5273ms
Step 2 took 4103ms
********** Factor found in step 2: 4443830583614597428120705183589
Found probable prime factor of 31 digits: 4443830583614597428120705183589
Composite cofactor 57170695351484953828655906167750324010349921664909775055157100984715603967023285915027373089550834654059014737 has 110 digits

N = 57170695351484953828655906167750324010349921664909775055157100984715603967023285915027373089550834654059014737 (110 digits)
Divisors found:
r1=5088026524064685939759188615682822547 (pp37)
r2=11236320227712343170813854237842051239219707078308142717704805725442773771 (pp74)
Version: Msieve v. 1.48
Total time: 5.63 hours.
Factorization parameters were as follows:
n: 57170695351484953828655906167750324010349921664909775055157100984715603967023285915027373089550834654059014737
Y0: -1236237300958030013612
Y1: 248112476839
c0: 5665534833161621092856775
c1: 2068508839482821856164
c2: -188829627446990327
c3: -20575862028484
c4: -211905728
c5: 19800
skew: 17281.12  
type: gnfs
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 7984022
Relations: 596916 relations
Pruned matrix : 359156 x 359381
Polynomial selection time: 0.00 hours.
Total sieving time: 5.43 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.14 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,109,5,61,2000,0.00015,0.3,250,15,50000,2400,3200000,3200000,27,27,50,50,2.6,2.6,100000
total time: 5.63 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

10213-5×10106-1

c212

name 名前Youcef Lemsafer
date 日付March 24, 2014 11:45:40 UTC 2014 年 3 月 24 日 (月) 20 時 45 分 40 秒 (日本時間)
composite number 合成数
13698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<212>
prime factors 素因数
543480930571103590939787303966767118888178713958765882248124171704987<69>
25205355637025630788265681766963199068004080360815711661966157137034812965665892883069147084562468273130384754879734406297881984637897103436549<143>
factorization results 素因数分解の結果
Thu Mar 20 04:56:02 2014 -> factmsieve.py (v0.76)
Thu Mar 20 04:56:02 2014 -> This is client 1 of 1
Thu Mar 20 04:56:02 2014 -> Running on 12 Cores with 2 hyper-threads per Core
Thu Mar 20 04:56:02 2014 -> Working with NAME = 99499_106
Thu Mar 20 04:56:02 2014 -> Selected lattice siever: gnfs-lasieve4I14e
Thu Mar 20 04:56:02 2014 -> Creating param file to detect parameter changes...
Thu Mar 20 04:56:02 2014 -> Running setup ...
Thu Mar 20 04:56:02 2014 -> Estimated minimum relations needed: 4.39397e+07
Thu Mar 20 04:56:02 2014 -> cleaning up before a restart
Thu Mar 20 04:56:02 2014 -> Running lattice siever ...
Thu Mar 20 04:56:02 2014 -> entering sieving loop
Thu Mar 20 04:56:03 2014 -> Lattice sieving rational q from 10000000 to 10100000.
<...snipped...>
Thu Mar 20 05:13:10 2014 Found 213814 relations, 0.5% of the estimated minimum (43939705).
<...snipped...>
Sun Mar 23 19:36:50 2014 -> Lattice sieving rational q from 37600000 to 37700000.
<...snipped...>
Sun Mar 23 19:55:50 2014 Found 46792816 relations, 106.5% of the estimated minimum (43939705).
Sun Mar 23 19:55:50 2014  
Sun Mar 23 19:55:50 2014  
Sun Mar 23 19:55:50 2014  Msieve v. 1.52 (SVN 959)
Sun Mar 23 19:55:50 2014  random seeds: 807647f0 de5e69a8
Sun Mar 23 19:55:50 2014  factoring 13698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863 (212 digits)
Sun Mar 23 19:55:52 2014  no P-1/P+1/ECM available, skipping
Sun Mar 23 19:55:52 2014  commencing number field sieve (212-digit input)
Sun Mar 23 19:55:52 2014  R0: -100000000000000000000000000000000000
Sun Mar 23 19:55:52 2014  R1: 1
Sun Mar 23 19:55:52 2014  A0: -1
Sun Mar 23 19:55:52 2014  A1: 0
Sun Mar 23 19:55:52 2014  A2: 0
Sun Mar 23 19:55:52 2014  A3: -50
Sun Mar 23 19:55:52 2014  A4: 0
Sun Mar 23 19:55:52 2014  A5: 0
Sun Mar 23 19:55:52 2014  A6: 1000
Sun Mar 23 19:55:52 2014  skew 0.32, size 9.529e-011, alpha 1.250, combined = 3.241e-012 rroots = 2
Sun Mar 23 19:55:52 2014  
Sun Mar 23 19:55:52 2014  commencing relation filtering
Sun Mar 23 19:55:52 2014  estimated available RAM is 32739.1 MB
Sun Mar 23 19:55:52 2014  commencing duplicate removal, pass 1
Sun Mar 23 20:04:31 2014  skipped 4 relations with b > 2^32
Sun Mar 23 20:04:31 2014  found 7556782 hash collisions in 46792811 relations
Sun Mar 23 20:04:50 2014  added 1 free relations
Sun Mar 23 20:04:50 2014  commencing duplicate removal, pass 2
Sun Mar 23 20:05:19 2014  found 7022679 duplicates and 39770133 unique relations
Sun Mar 23 20:05:19 2014  memory use: 213.2 MB
Sun Mar 23 20:05:19 2014  reading ideals above 720000
Sun Mar 23 20:05:19 2014  commencing singleton removal, initial pass
Sun Mar 23 20:15:08 2014  memory use: 1378.0 MB
Sun Mar 23 20:15:08 2014  reading all ideals from disk
Sun Mar 23 20:15:09 2014  memory use: 1418.9 MB
Sun Mar 23 20:15:15 2014  keeping 42793397 ideals with weight <= 200, target excess is 210503
Sun Mar 23 20:15:20 2014  commencing in-memory singleton removal
Sun Mar 23 20:15:25 2014  begin with 39770133 relations and 42793397 unique ideals
Sun Mar 23 20:16:15 2014  reduce to 17496457 relations and 17207133 ideals in 20 passes
Sun Mar 23 20:16:15 2014  max relations containing the same ideal: 119
Sun Mar 23 20:16:26 2014  removing 449607 relations and 427037 ideals in 22570 cliques
Sun Mar 23 20:16:27 2014  commencing in-memory singleton removal
Sun Mar 23 20:16:29 2014  begin with 17046850 relations and 17207133 unique ideals
Sun Mar 23 20:16:51 2014  reduce to 17035529 relations and 16768738 ideals in 11 passes
Sun Mar 23 20:16:51 2014  max relations containing the same ideal: 118
Sun Mar 23 20:17:02 2014  removing 320247 relations and 297677 ideals in 22570 cliques
Sun Mar 23 20:17:02 2014  commencing in-memory singleton removal
Sun Mar 23 20:17:04 2014  begin with 16715282 relations and 16768738 unique ideals
Sun Mar 23 20:17:18 2014  reduce to 16709170 relations and 16464932 ideals in 8 passes
Sun Mar 23 20:17:18 2014  max relations containing the same ideal: 117
Sun Mar 23 20:17:22 2014  relations with 0 large ideals: 7279
Sun Mar 23 20:17:22 2014  relations with 1 large ideals: 3019
Sun Mar 23 20:17:22 2014  relations with 2 large ideals: 22321
Sun Mar 23 20:17:22 2014  relations with 3 large ideals: 188612
Sun Mar 23 20:17:22 2014  relations with 4 large ideals: 884126
Sun Mar 23 20:17:22 2014  relations with 5 large ideals: 2468016
Sun Mar 23 20:17:22 2014  relations with 6 large ideals: 4203479
Sun Mar 23 20:17:22 2014  relations with 7+ large ideals: 8932318
Sun Mar 23 20:17:22 2014  commencing 2-way merge
Sun Mar 23 20:17:37 2014  reduce to 9871141 relation sets and 9626917 unique ideals
Sun Mar 23 20:17:37 2014  ignored 14 oversize relation sets
Sun Mar 23 20:17:37 2014  commencing full merge
Sun Mar 23 20:21:38 2014  memory use: 1174.6 MB
Sun Mar 23 20:21:39 2014  found 5103614 cycles, need 5101117
Sun Mar 23 20:21:40 2014  weight of 5101117 cycles is about 357319661 (70.05/cycle)
Sun Mar 23 20:21:40 2014  distribution of cycle lengths:
Sun Mar 23 20:21:40 2014  1 relations: 838055
Sun Mar 23 20:21:40 2014  2 relations: 722429
Sun Mar 23 20:21:40 2014  3 relations: 651876
Sun Mar 23 20:21:40 2014  4 relations: 543114
Sun Mar 23 20:21:40 2014  5 relations: 442193
Sun Mar 23 20:21:40 2014  6 relations: 362654
Sun Mar 23 20:21:40 2014  7 relations: 295680
Sun Mar 23 20:21:40 2014  8 relations: 234684
Sun Mar 23 20:21:40 2014  9 relations: 186952
Sun Mar 23 20:21:40 2014  10+ relations: 823480
Sun Mar 23 20:21:40 2014  heaviest cycle: 28 relations
Sun Mar 23 20:21:41 2014  commencing cycle optimization
Sun Mar 23 20:21:48 2014  start with 28255640 relations
Sun Mar 23 20:22:46 2014  pruned 578823 relations
Sun Mar 23 20:22:46 2014  memory use: 956.9 MB
Sun Mar 23 20:22:46 2014  distribution of cycle lengths:
Sun Mar 23 20:22:46 2014  1 relations: 838055
Sun Mar 23 20:22:46 2014  2 relations: 736833
Sun Mar 23 20:22:46 2014  3 relations: 671879
Sun Mar 23 20:22:46 2014  4 relations: 550663
Sun Mar 23 20:22:46 2014  5 relations: 448170
Sun Mar 23 20:22:46 2014  6 relations: 363150
Sun Mar 23 20:22:46 2014  7 relations: 293841
Sun Mar 23 20:22:46 2014  8 relations: 231144
Sun Mar 23 20:22:46 2014  9 relations: 183159
Sun Mar 23 20:22:46 2014  10+ relations: 784223
Sun Mar 23 20:22:46 2014  heaviest cycle: 28 relations
Sun Mar 23 20:22:52 2014  RelProcTime: 1620
Sun Mar 23 20:22:52 2014  elapsed time 00:27:02
Sun Mar 23 20:22:52 2014 LatSieveTime: 2762.89
Sun Mar 23 20:22:52 2014 -> Running matrix solving step ...
<...snipped...>
Sun Mar 23 20:22:54 2014  
Sun Mar 23 20:22:54 2014  commencing linear algebra
Sun Mar 23 20:22:56 2014  read 5101117 cycles
Sun Mar 23 20:23:05 2014  cycles contain 16329195 unique relations
Sun Mar 23 20:26:10 2014  read 16329195 relations
Sun Mar 23 20:26:35 2014  using 20 quadratic characters above 536870910
Sun Mar 23 20:28:02 2014  building initial matrix
Sun Mar 23 20:31:40 2014  memory use: 2003.8 MB
Sun Mar 23 20:31:44 2014  read 5101117 cycles
Sun Mar 23 20:31:45 2014  matrix is 5100938 x 5101117 (1534.8 MB) with weight 448272490 (87.88/col)
Sun Mar 23 20:31:45 2014  sparse part has weight 346215850 (67.87/col)
Sun Mar 23 20:32:46 2014  filtering completed in 2 passes
Sun Mar 23 20:32:47 2014  matrix is 5097957 x 5098135 (1534.5 MB) with weight 448171407 (87.91/col)
Sun Mar 23 20:32:47 2014  sparse part has weight 346185048 (67.90/col)
Sun Mar 23 20:33:24 2014  matrix starts at (0, 0)
Sun Mar 23 20:33:25 2014  matrix is 5097957 x 5098135 (1534.5 MB) with weight 448171407 (87.91/col)
Sun Mar 23 20:33:25 2014  sparse part has weight 346185048 (67.90/col)
Sun Mar 23 20:33:25 2014  saving the first 48 matrix rows for later
Sun Mar 23 20:33:27 2014  matrix includes 64 packed rows
Sun Mar 23 20:33:28 2014  matrix is 5097909 x 5098135 (1465.3 MB) with weight 359186064 (70.45/col)
Sun Mar 23 20:33:28 2014  sparse part has weight 333130704 (65.34/col)
Sun Mar 23 20:33:28 2014  using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
Sun Mar 23 20:33:53 2014  commencing Lanczos iteration (24 threads)
Sun Mar 23 20:33:53 2014  memory use: 1205.1 MB
Sun Mar 23 20:34:03 2014  linear algebra at 0.0%, ETA 9h19m
Sun Mar 23 20:34:06 2014  checkpointing every 570000 dimensions
Mon Mar 24 05:23:23 2014  lanczos halted after 80624 iterations (dim = 5097905)
Mon Mar 24 05:23:30 2014  recovered 35 nontrivial dependencies
Mon Mar 24 05:23:35 2014  BLanczosTime: 32441
Mon Mar 24 05:23:35 2014  elapsed time 09:00:43
Mon Mar 24 05:23:35 2014 -> Running square root step ...
Mon Mar 24 05:23:35 2014  
<...snipped...>
Mon Mar 24 05:23:36 2014  
Mon Mar 24 05:23:36 2014  commencing square root phase
Mon Mar 24 05:23:36 2014  reading relations for dependency 1
Mon Mar 24 05:23:38 2014  read 2547727 cycles
Mon Mar 24 05:23:42 2014  cycles contain 8162246 unique relations
Mon Mar 24 05:25:18 2014  read 8162246 relations
Mon Mar 24 05:26:03 2014  multiplying 8162246 relations
Mon Mar 24 05:39:38 2014  multiply complete, coefficients have about 270.90 million bits
Mon Mar 24 05:39:39 2014  initial square root is modulo 72647
Mon Mar 24 05:54:53 2014  sqrtTime: 1877
Mon Mar 24 05:54:53 2014  prp69 factor: 543480930571103590939787303966767118888178713958765882248124171704987
Mon Mar 24 05:54:53 2014  prp143 factor: 25205355637025630788265681766963199068004080360815711661966157137034812965665892883069147084562468273130384754879734406297881984637897103436549
Mon Mar 24 05:54:53 2014  elapsed time 00:31:18
Mon Mar 24 05:54:53 2014 -> Computing 1.39564e+09 scale for this machine...
Mon Mar 24 05:54:53 2014 -> procrels -speedtest> PIPE
Mon Mar 24 05:54:57 2014 -> Factorization summary written to s213-99499_106.txt



Number: 99499_106
N = 13698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863 (212 digits)
SNFS difficulty: 213 digits.
Divisors found:
r1=543480930571103590939787303966767118888178713958765882248124171704987 (pp69)
r2=25205355637025630788265681766963199068004080360815711661966157137034812965665892883069147084562468273130384754879734406297881984637897103436549 (pp143)
Version: Msieve v. 1.52 (SVN 959)
Total time: 97.39 hours.
Factorization parameters were as follows:
#
# 99499_106, C212, SNFS_diff=211.14
#
n: 13698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863
m: 100000000000000000000000000000000000
deg: 6
c6: 1000
c3: -50
c0: -1
skew: 0.32
# Murphy_E = 3.634e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
q0: 10000000
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [10000000, 37700001)
Total raw relations: 46792816
Relations: 8162246 relations
Pruned matrix : 5097909 x 5098135
Polynomial selection time: 0.00 hours.
Total sieving time: 87.41 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 9.01 hours.
time per square root: 0.52 hours.
Prototype def-par.txt line would be: snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 97.39 hours.
Intel64 Family 6 Model 45 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 24, speed: 2.00GHz
software ソフトウェア
GGNFS (SVN 440) win64, msieve 1.52 (SVN 959) win64
execution environment 実行環境
Windows 7 Pro 64-bit, 2x Intel Xeon E5-2620 @2.0GHz, 32 GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
800Serge BatalovDecember 4, 2011 23:43:29 UTC 2011 年 12 月 5 日 (月) 8 時 43 分 29 秒 (日本時間)
403e62200Serge BatalovDecember 5, 2011 02:30:02 UTC 2011 年 12 月 5 日 (月) 11 時 30 分 2 秒 (日本時間)
4511e64000Wataru SakaiDecember 18, 2011 05:48:30 UTC 2011 年 12 月 18 日 (日) 14 時 48 分 30 秒 (日本時間)
5043e60--
5511e70--
6026e77540 / 41951yoyo@homeAugust 31, 2013 00:00:40 UTC 2013 年 8 月 31 日 (土) 9 時 0 分 40 秒 (日本時間)

10215-5×10107-1

c171

name 名前ebina
date 日付August 15, 2023 00:29:23 UTC 2023 年 8 月 15 日 (火) 9 時 29 分 23 秒 (日本時間)
composite number 合成数
276503763546649555000915492104625520019474445031164661651292922607084765856608250134889239503733667640129364319612345471160971820740649143504498302101431392799851164976297<171>
prime factors 素因数
619556685967449535162050704144580184226195505142425532753194710099901551<72>
446292921712052344886694209312185048765139507788732548159496473976544590141157129410156684667833447<99>
factorization results 素因数分解の結果
Tue Aug 15 09:16:14 2023  Msieve v. 1.54 (SVN 1018)
Tue Aug 15 09:16:14 2023  random seeds: 2a353760 c6cc2c7e
Tue Aug 15 09:16:14 2023  factoring 276503763546649555000915492104625520019474445031164661651292922607084765856608250134889239503733667640129364319612345471160971820740649143504498302101431392799851164976297 (171 digits)
Tue Aug 15 09:16:14 2023  searching for 15-digit factors
Tue Aug 15 09:16:14 2023  commencing number field sieve (171-digit input)
Tue Aug 15 09:16:14 2023  R0: -1000000000000000000000000000000000000
Tue Aug 15 09:16:14 2023  R1: 1
Tue Aug 15 09:16:14 2023  A0: -10
Tue Aug 15 09:16:14 2023  A1: 0
Tue Aug 15 09:16:14 2023  A2: 0
Tue Aug 15 09:16:14 2023  A3: -5
Tue Aug 15 09:16:14 2023  A4: 0
Tue Aug 15 09:16:14 2023  A5: 0
Tue Aug 15 09:16:14 2023  A6: 1
Tue Aug 15 09:16:14 2023  skew 1.47, size 1.117e-010, alpha 1.461, combined = 3.607e-012 rroots = 2
Tue Aug 15 09:16:14 2023  
Tue Aug 15 09:16:14 2023  commencing square root phase
Tue Aug 15 09:16:14 2023  reading relations for dependency 1
Tue Aug 15 09:16:15 2023  read 2581331 cycles
Tue Aug 15 09:16:18 2023  cycles contain 8308710 unique relations
Tue Aug 15 09:17:02 2023  read 8308710 relations
Tue Aug 15 09:17:37 2023  multiplying 8308710 relations
Tue Aug 15 09:21:49 2023  multiply complete, coefficients have about 202.68 million bits
Tue Aug 15 09:21:49 2023  initial square root is modulo 18783511
Tue Aug 15 09:26:17 2023  sqrtTime: 603
Tue Aug 15 09:26:17 2023  p72 factor: 619556685967449535162050704144580184226195505142425532753194710099901551
Tue Aug 15 09:26:17 2023  p99 factor: 446292921712052344886694209312185048765139507788732548159496473976544590141157129410156684667833447
Tue Aug 15 09:26:17 2023  elapsed time 00:10:03

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:48:03 UTC 2011 年 12 月 11 日 (日) 4 時 48 分 3 秒 (日本時間)
4511e61909 / 4409600Dmitry DomanovDecember 16, 2011 22:44:46 UTC 2011 年 12 月 17 日 (土) 7 時 44 分 46 秒 (日本時間)
1309KTakahashiJuly 11, 2014 13:06:27 UTC 2014 年 7 月 11 日 (金) 22 時 6 分 27 秒 (日本時間)

10219-5×10109-1

c200

name 名前Erik Branger
date 日付September 9, 2018 20:38:16 UTC 2018 年 9 月 10 日 (月) 5 時 38 分 16 秒 (日本時間)
composite number 合成数
33083575579147082195107637600422013072355901065376113179194204446635012187993848965347951563444635222997217486804165933803020365524909571114223620699338973230800457150642473138967469907955934681120821<200>
prime factors 素因数
1160823655093759059463439352450276860121368009638921446866267666849936867<73>
28500087359500733821327057688931720673026750436332387848188384572665700241491410170521078851394887518800097086984790345858534663<128>
factorization results 素因数分解の結果
Number: 99499_109
N = 33083575579147082195107637600422013072355901065376113179194204446635012187993848965347951563444635222997217486804165933803020365524909571114223620699338973230800457150642473138967469907955934681120821 (200 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=1160823655093759059463439352450276860121368009638921446866267666849936867 (pp73)
r2=28500087359500733821327057688931720673026750436332387848188384572665700241491410170521078851394887518800097086984790345858534663 (pp128)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 29.19 hours.
Factorization parameters were as follows:
n: 33083575579147082195107637600422013072355901065376113179194204446635012187993848965347951563444635222997217486804165933803020365524909571114223620699338973230800457150642473138967469907955934681120821
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c2: -5
c0: -10
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: 29868199
Relations: 7236604 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 13.02 hours.
Total relation processing time: 0.23 hours.
Pruned matrix : 6475151 x 6475376
Matrix solve time: 15.27 hours.
time per square root: 0.67 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 29.19 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.16299-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 KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:48:17 UTC 2011 年 12 月 11 日 (日) 4 時 48 分 17 秒 (日本時間)
4511e6750 / 4409Dmitry DomanovDecember 18, 2011 20:18:23 UTC 2011 年 12 月 19 日 (月) 5 時 18 分 23 秒 (日本時間)

10221-5×10110-1

c193

name 名前Dmitry Domanov
date 日付December 19, 2011 06:58:03 UTC 2011 年 12 月 19 日 (月) 15 時 58 分 3 秒 (日本時間)
composite number 合成数
4529666326482180875917178014737875286788710544743470321565118961057368174909210600955223155772997157959034746959082801158257254476011130821622399347921579370109049140814746827059617738490597479<193>
prime factors 素因数
462066252413030932780901126682137746898271901<45>
composite cofactor 合成数の残り
9803066774141321755911592741282143892488344106277837669760782655870221053829513355030349710494235852686881134539819159259897680085198818347486247379<148>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3704279063
Step 1 took 90724ms
Step 2 took 29479ms
********** Factor found in step 2: 462066252413030932780901126682137746898271901
Found probable prime factor of 45 digits: 462066252413030932780901126682137746898271901

c148

name 名前Erik Branger
date 日付August 31, 2017 15:25:59 UTC 2017 年 9 月 1 日 (金) 0 時 25 分 59 秒 (日本時間)
composite number 合成数
9803066774141321755911592741282143892488344106277837669760782655870221053829513355030349710494235852686881134539819159259897680085198818347486247379<148>
prime factors 素因数
2566965590769287973807648725702899914790850139920267361731<58>
3818931897409448084749776093659034196601956874297921055160135332694963008762218609361797809<91>
factorization results 素因数分解の結果
Number: 99499_110
N = 9803066774141321755911592741282143892488344106277837669760782655870221053829513355030349710494235852686881134539819159259897680085198818347486247379 (148 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=2566965590769287973807648725702899914790850139920267361731 (pp58)
r2=3818931897409448084749776093659034196601956874297921055160135332694963008762218609361797809 (pp91)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 84.67 hours.
Factorization parameters were as follows:
n: 9803066774141321755911592741282143892488344106277837669760782655870221053829513355030349710494235852686881134539819159259897680085198818347486247379
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c2: -5
c0: -1
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 26
mfbr: 58
mfba: 52
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: 29/26
Total raw relations: 26358667
Relations: 7884976 relations
Total pre-computation time approximately 800 CPU-days.
Pre-computation saved approximately 16 G rational relations.
Total batch smoothness checking time: 52.31 hours.
Total relation processing time: 0.26 hours.
Pruned matrix : 6734439 x 6734664
Matrix solve time: 31.82 hours.
time per square root: 0.28 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,26,58,52,2.8,2.8,100000
total time: 84.67 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 KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:48:27 UTC 2011 年 12 月 11 日 (日) 4 時 48 分 27 秒 (日本時間)
4511e64750750Dmitry DomanovDecember 18, 2011 20:18:49 UTC 2011 年 12 月 19 日 (月) 5 時 18 分 49 秒 (日本時間)
4000Wataru SakaiDecember 28, 2011 12:32:30 UTC 2011 年 12 月 28 日 (水) 21 時 32 分 30 秒 (日本時間)

10223-5×10111-1

c169

name 名前Erik Branger
date 日付September 15, 2019 13:04:44 UTC 2019 年 9 月 15 日 (日) 22 時 4 分 44 秒 (日本時間)
composite number 合成数
3549962987652359582205006389832292976189377520550671043030260762707733766139008837442287044505204459021658007240336254182045930692366202619549869364461226505973344788061<169>
prime factors 素因数
190124909095631828790189368868963965826698183098436892900663806987509<69>
18671740617988918433673861754029831811405756770111750479791860683565328173022394092112893754791766729<101>
factorization results 素因数分解の結果
Number: 99499_111
N = 3549962987652359582205006389832292976189377520550671043030260762707733766139008837442287044505204459021658007240336254182045930692366202619549869364461226505973344788061 (169 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=190124909095631828790189368868963965826698183098436892900663806987509 (pp69)
r2=18671740617988918433673861754029831811405756770111750479791860683565328173022394092112893754791766729 (pp101)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 52.97 hours.
Factorization parameters were as follows:
n: 3549962987652359582205006389832292976189377520550671043030260762707733766139008837442287044505204459021658007240336254182045930692366202619549869364461226505973344788061
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1000
c2: -50
c0: -1
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: 34403957
Relations: 8456108 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.28 hours.
Total relation processing time: 0.41 hours.
Pruned matrix : 7304778 x 7305003
Matrix solve time: 27.12 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 52.97 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 KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:48:40 UTC 2011 年 12 月 11 日 (日) 4 時 48 分 40 秒 (日本時間)
4511e61909 / 4409600Dmitry DomanovDecember 18, 2011 20:19:22 UTC 2011 年 12 月 19 日 (月) 5 時 19 分 22 秒 (日本時間)
1309KTakahashiJuly 11, 2014 13:06:49 UTC 2014 年 7 月 11 日 (金) 22 時 6 分 49 秒 (日本時間)

10227-5×10113-1

c204

composite cofactor 合成数の残り
633678346444505962477704707956362332115034626460882119999980858184076670370308283235708819456120586779257840399174628816852081260368723266056503158721830877339099878849123329145822758028732930448643899693<204>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:48:52 UTC 2011 年 12 月 11 日 (日) 4 時 48 分 52 秒 (日本時間)
4511e6720 / 4409Dmitry DomanovDecember 18, 2011 20:19:54 UTC 2011 年 12 月 19 日 (月) 5 時 19 分 54 秒 (日本時間)

10229-5×10114-1

c222

composite cofactor 合成数の残り
798321035064734655251846736092389374059627715758434122029277785304171091693637277568799506382137598773267964678125740193284699083663166321645620662272760911072704773137519020996561711134079694313295821292323688204862589391<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
800Serge BatalovDecember 5, 2011 02:31:10 UTC 2011 年 12 月 5 日 (月) 11 時 31 分 10 秒 (日本時間)
403e62200Serge BatalovDecember 5, 2011 02:31:10 UTC 2011 年 12 月 5 日 (月) 11 時 31 分 10 秒 (日本時間)

10237-5×10118-1

c199

name 名前Warut Roonguthai
date 日付December 4, 2011 17:01:24 UTC 2011 年 12 月 5 日 (月) 2 時 1 分 24 秒 (日本時間)
composite number 合成数
7603170802866536210504424751312543011858382897499387445484253653642779348139022773651047837384550098572499272757445481737379602639521204675240309966405154733529986503416850790880673042943561573769041<199>
prime factors 素因数
141340362428255634092409831593<30>
53793344464684711694947045851488822072849604422189427963516489300901205012293634322037416448101596793018822600276954511585201671697321648080496054717023194110120333445737<170>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2999262989
Step 1 took 9844ms
Step 2 took 5772ms
********** Factor found in step 2: 141340362428255634092409831593
Found probable prime factor of 30 digits: 141340362428255634092409831593
Probable prime cofactor 53793344464684711694947045851488822072849604422189427963516489300901205012293634322037416448101596793018822600276954511585201671697321648080496054717023194110120333445737 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
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

10239-5×10119-1

c239

name 名前Wataru Sakai
date 日付December 12, 2011 01:36:51 UTC 2011 年 12 月 12 日 (月) 10 時 36 分 51 秒 (日本時間)
composite number 合成数
14285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285642857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857<239>
prime factors 素因数
111356917170875718624168336585576613387<39>
composite cofactor 合成数の残り
128287623693758025152832912337296027298175369590539017454373661220499465481141553514475589431580452729703391388225905931766998252406293669289920300639028312049431066446612735158259218419515660578578811<201>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3327405000
Step 1 took 31288ms
Step 2 took 9938ms
********** Factor found in step 2: 111356917170875718624168336585576613387
Found probable prime factor of 39 digits: 111356917170875718624168336585576613387
Composite cofactor 128287623693758025152832912337296027298175369590539017454373661220499465481141553514475589431580452729703391388225905931766998252406293669289920300639028312049431066446612735158259218419515660578578811 has 201 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 KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e62318450Serge BatalovDecember 5, 2011 05:33:30 UTC 2011 年 12 月 5 日 (月) 14 時 33 分 30 秒 (日本時間)
1868Wataru SakaiDecember 12, 2011 01:36:29 UTC 2011 年 12 月 12 日 (月) 10 時 36 分 29 秒 (日本時間)

10241-5×10120-1

c205

composite cofactor 合成数の残り
1994653359325654121672948287747608009545659738798523815002525964795088792529940030698542258070195464078323627914436847901329579678287094813124553901162078880965026895699899277708926210442618695569567905639<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:46:14 UTC 2011 年 12 月 11 日 (日) 4 時 46 分 14 秒 (日本時間)
4511e6660 / 4409Dmitry DomanovDecember 18, 2011 20:21:53 UTC 2011 年 12 月 19 日 (月) 5 時 21 分 53 秒 (日本時間)

10245-5×10122-1

c199

name 名前Serge Batalov
date 日付December 4, 2011 22:14:41 UTC 2011 年 12 月 5 日 (月) 7 時 14 分 41 秒 (日本時間)
composite number 合成数
6352428871544847474002366325290632606244804585979705519904010560370862416986251271326105055967516529540958826645240905289004674736227769182806233813409736766367154390263918628382659614228928865659219<199>
prime factors 素因数
163222481788009753304251858616678363833<39>
composite cofactor 合成数の残り
38918835211654611107017700320315653736558258855727648174622059252716676019458005725570596924509460434083812248084088594332572468757560177146224942167215759156843<161>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1138556035
Step 1 took 16454ms
Step 2 took 11032ms
********** Factor found in step 2: 163222481788009753304251858616678363833
Found probable prime factor of 39 digits: 163222481788009753304251858616678363833
Composite cofactor 389188352116... has 161 digits

c161

name 名前Wataru Sakai
date 日付December 12, 2011 08:33:40 UTC 2011 年 12 月 12 日 (月) 17 時 33 分 40 秒 (日本時間)
composite number 合成数
38918835211654611107017700320315653736558258855727648174622059252716676019458005725570596924509460434083812248084088594332572468757560177146224942167215759156843<161>
prime factors 素因数
14330047390534455341614689556894667052960470533<47>
2715890195685046445941646167332658163307170707411127857765335475908721729333659918091655671222089370774811117553071<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3561897294
Step 1 took 67530ms
Step 2 took 24998ms
********** Factor found in step 2: 14330047390534455341614689556894667052960470533
Found probable prime factor of 47 digits: 14330047390534455341614689556894667052960470533
Probable prime cofactor 2715890195685046445941646167332658163307170707411127857765335475908721729333659918091655671222089370774811117553071 has 115 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6918118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
800Serge BatalovDecember 6, 2011 06:32:57 UTC 2011 年 12 月 6 日 (火) 15 時 32 分 57 秒 (日本時間)
403e62100Wataru SakaiDecember 11, 2011 08:20:53 UTC 2011 年 12 月 11 日 (日) 17 時 20 分 53 秒 (日本時間)

10247-5×10123-1

c234

composite cofactor 合成数の残り
202035484417215585307330151603917619567030615878414836490113410556308230775257323875494551984403768362807369854404647804430521947746677028123442526290929183892925393332214651748069587056028955696685819522664015938159935644520921928321<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:46:33 UTC 2011 年 12 月 11 日 (日) 4 時 46 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 18, 2011 20:22:29 UTC 2011 年 12 月 19 日 (月) 5 時 22 分 29 秒 (日本時間)

10249-5×10124-1

c201

name 名前Dmitry Domanov
date 日付December 19, 2011 06:57:09 UTC 2011 年 12 月 19 日 (月) 15 時 57 分 9 秒 (日本時間)
composite number 合成数
925509659185740905948153048564979344009186537170882290534268991325206306990009553624377988780044566972819591800810672482825525213825618793295760177193085588289134608330996076737405627234522709767784601<201>
prime factors 素因数
27016802221019958728332211341929526202160898369<47>
composite cofactor 合成数の残り
34256817354411545382466016375368842277173876846786354088577994330080280937009344976692769395823687919692915950711718568959860018098119896150896597166455129<155>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3466375606
Step 1 took 102883ms
Step 2 took 32442ms
********** Factor found in step 2: 27016802221019958728332211341929526202160898369
Found probable prime factor of 47 digits: 27016802221019958728332211341929526202160898369

c155

name 名前Jason Parker-Burlingham
date 日付April 20, 2021 04:42:04 UTC 2021 年 4 月 20 日 (火) 13 時 42 分 4 秒 (日本時間)
composite number 合成数
34256817354411545382466016375368842277173876846786354088577994330080280937009344976692769395823687919692915950711718568959860018098119896150896597166455129<155>
prime factors 素因数
55742535758857773897075735642790240818401176555154951141597161<62>
614554341456702783356536948306774987822484409636127080096389597392518465654483847272409339889<93>
factorization results 素因数分解の結果
Info:Generate Factor Base: Total cpu/real time for makefb: 45.06/1.56943
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 12485.8
Info:Polynomial Selection (root optimized): Rootsieve time: 12483.8
Info:Quadratic Characters: Total cpu/real time for characters: 165.03/25.6189
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 99634.6
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 101312/46.610/55.845/61.500/0.847
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 81129/46.420/50.380/56.950/1.456
Info:Polynomial Selection (size optimized): Total time: 145246
Info:Generate Free Relations: Total cpu/real time for freerel: 607.14/15.2573
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 2557.61/1155.3
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 928.8000000000001s
Info:Linear Algebra: Total cpu/real time for bwc: 1.53876e+06/34580.1
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: CPU time 997517.63, WCT time 22548.31, iteration CPU time 0.13, COMM 0.02, cpu-wait 0.05, comm-wait 0.0 (118272 iterations)
Info:Linear Algebra: Lingen CPU time 26599.23, WCT time 430.58
Info:Linear Algebra: Mksol: CPU time 508247.1,  WCT time 11408.0, iteration CPU time 0.13, COMM 0.02, cpu-wait 0.04, comm-wait 0.0 (59392 iterations)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 3805.65/818.861
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 415.64/233.064
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 231.29999999999998s
Info:Filtering - Merging: Total cpu/real time for merge: 5574.93/133.395
Info:Filtering - Merging: Total cpu/real time for replay: 146.19/118.066
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 48941996
Info:Lattice Sieving: Average J: 7613.18 for 1752360 special-q, max bucket fill -bkmult 1.0,1s:1.182250
Info:Lattice Sieving: Total time: 3.11458e+06s
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 7.74703e+06/136588
614554341456702783356536948306774987822484409636127080096389597392518465654483847272409339889 55742535758857773897075735642790240818401176555154951141597161

130] 99499_124 $ cat 99499_124.poly
n: 34256817354411545382466016375368842277173876846786354088577994330080280937009344976692769395823687919692915950711718568959860018098119896150896597166455129
skew: 1154617.529
c0: 384400692882493976896588491755876040
c1: -1702522009721737017471987713462
c2: 1997607444811284795777259
c3: 2353375154549469007
c4: -185090177124
c5: 320880
Y0: -843517505564592639967444874843
Y1: 20698609722666080239
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=2.076e+15) = 3.148e-08
# f(x) = 320880*x^5-185090177124*x^4+2353375154549469007*x^3+1997607444811284795777259*x^2-1702522009721737017471987713462*x+384400692882493976896588491755876040
# g(x) = 20698609722666080239*x-843517505564592639967444874843
software ソフトウェア
CADO-NFS-3.0.0-dev
execution environment 実行環境
AMD Ryzen Threadripper 2990WX 32-Core Processor w/ 110GB RAM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:46:46 UTC 2011 年 12 月 11 日 (日) 4 時 46 分 46 秒 (日本時間)
4511e64750750Dmitry DomanovDecember 18, 2011 20:22:56 UTC 2011 年 12 月 19 日 (月) 5 時 22 分 56 秒 (日本時間)
4000Wataru SakaiDecember 23, 2011 04:24:22 UTC 2011 年 12 月 23 日 (金) 13 時 24 分 22 秒 (日本時間)

10251-5×10125-1

c222

name 名前Serge Batalov
date 日付December 4, 2011 22:55:59 UTC 2011 年 12 月 5 日 (月) 7 時 55 分 59 秒 (日本時間)
composite number 合成数
113261192624004654359762752083612001140317741392468134278580180797418839070464550840894065105411433811426864408795590712944893550044112311333141786454640059303062272533691526252864789061405606255901915341894858475660090009<222>
prime factors 素因数
9544675843131794165022618471409<31>
11866426318239577810180425027532350581741722589419898353146225103264604791804811573904038197622977543266794243520797271362024857764938020422154722310211168050226004513466164258233337838895401<191>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3486331634
Step 1 took 18833ms
Step 2 took 12625ms
********** Factor found in step 2: 9544675843131794165022618471409
Found probable prime factor of 31 digits: 9544675843131794165022618471409
Probable prime cofactor 118664263182... has 191 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

10253-5×10126-1

c248

composite cofactor 合成数の残り
48653040571770532799447301459104686747398278655424570758549555554474376876182877048901171078686562516724482696546120649810009852240715783532891888078545468699066348151427723475578606284999781061317427032602402487143434028909636707746050589431586527<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e62768450Serge BatalovDecember 5, 2011 05:33:50 UTC 2011 年 12 月 5 日 (月) 14 時 33 分 50 秒 (日本時間)
2318Wataru SakaiDecember 6, 2011 07:20:15 UTC 2011 年 12 月 6 日 (火) 16 時 20 分 15 秒 (日本時間)
4511e60--
5043e61120400Dmitry DomanovFebruary 5, 2012 19:49:26 UTC 2012 年 2 月 6 日 (月) 4 時 49 分 26 秒 (日本時間)
720Dmitry DomanovFebruary 6, 2012 21:46:44 UTC 2012 年 2 月 7 日 (火) 6 時 46 分 44 秒 (日本時間)
5511e72635 / 17348yoyo@homeMay 7, 2013 17:40:05 UTC 2013 年 5 月 8 日 (水) 2 時 40 分 5 秒 (日本時間)

10255-5×10127-1

c181

composite cofactor 合成数の残り
7021655372446804983181338493785202324871759346669085992106879037390711097819114900912457473188156189735784262871357991144707881258966552799458092819985916913900382055865073614858971<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:47:01 UTC 2011 年 12 月 11 日 (日) 4 時 47 分 1 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 19, 2011 21:09:59 UTC 2011 年 12 月 20 日 (火) 6 時 9 分 59 秒 (日本時間)

10257-5×10128-1

c236

name 名前Dmitry Domanov
date 日付December 20, 2011 07:51:03 UTC 2011 年 12 月 20 日 (火) 16 時 51 分 3 秒 (日本時間)
composite number 合成数
11968473999932131118856226203883083789543989050688091557435009945442966400074120688149602353381623504328976644010959305847676427646424579893792446470137144301636794731186496284258854270017045614219346329283635613014507700653598086151247<236>
prime factors 素因数
171816970279810093184987179024821655801<39>
69658276364907624189192917920856677179187159881623592822304945939401732802219085316461292864410533889090691052964394751209963478110310185882643846926109851492162883614208848107985592444955876448647<197>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2975399048
Step 1 took 130629ms
Step 2 took 38679ms
********** Factor found in step 2: 171816970279810093184987179024821655801
Found probable prime factor of 39 digits: 171816970279810093184987179024821655801

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:47:13 UTC 2011 年 12 月 11 日 (日) 4 時 47 分 13 秒 (日本時間)
4511e6720 / 4409Dmitry DomanovDecember 19, 2011 21:10:35 UTC 2011 年 12 月 20 日 (火) 6 時 10 分 35 秒 (日本時間)

10259-5×10129-1

c142

name 名前Warut Roonguthai
date 日付December 4, 2011 19:29:35 UTC 2011 年 12 月 5 日 (月) 4 時 29 分 35 秒 (日本時間)
composite number 合成数
1066038616171815290815101840208343036661653599432044397707810086674919531463548234794965747053023633077168456106115325262859573275073252389577<142>
prime factors 素因数
305118707424443433113965269725917<33>
3493848755359579215538978646574489287626062629853067620769085262631393146180922421619038130531627829205045981<109>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2749048265
Step 1 took 5257ms
Step 2 took 4181ms
********** Factor found in step 2: 305118707424443433113965269725917
Found probable prime factor of 33 digits: 305118707424443433113965269725917
Probable prime cofactor 3493848755359579215538978646574489287626062629853067620769085262631393146180922421619038130531627829205045981 has 109 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 KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)

10263-5×10131-1

c246

name 名前Serge Batalov
date 日付December 11, 2011 06:48:24 UTC 2011 年 12 月 11 日 (日) 15 時 48 分 24 秒 (日本時間)
composite number 合成数
274719666900650086736778886602025579400371649028736697915187786324412412562664344248623632572914319564657117703039972051455655354542130753785672169816660476459639619272311604740258866783321270483240024106778721645356881428498829368859837340737019<246>
prime factors 素因数
1351888784680508161421046410243595859<37>
203211736064201892105164404621333450028327749999138451932527637487835177586928824782206034111682820968977146127728757506259079976608507157515070699267646270769974345897646166657489763827993084604236291278765241<210>
factorization results 素因数分解の結果
Using B1=6000000, B2=35128842850, polynomial Dickson(12), sigma=1810957502
Step 1 took 44362ms
Step 2 took 25042ms
********** Factor found in step 2: 1351888784680508161421046410243595859
Found probable prime factor of 37 digits: 1351888784680508161421046410243595859
Probable prime cofactor 203211736064... has 210 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovDecember 10, 2011 19:47:26 UTC 2011 年 12 月 11 日 (日) 4 時 47 分 26 秒 (日本時間)

10265-5×10132-1

c265

name 名前Serge Batalov
date 日付December 5, 2011 00:16:38 UTC 2011 年 12 月 5 日 (月) 9 時 16 分 38 秒 (日本時間)
composite number 合成数
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<265>
prime factors 素因数
5616235134305678745660899278719002510083<40>
1780552231318975083949307510644529380594980955128340668432098541313158580504224662174437828489671284476228876763563811423387669224839043145236832213728679312162105617995512683187059754487428657098809888413664711257802720903253<226>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1201685269
Step 1 took 91802ms
Step 2 took 26906ms
********** Factor found in step 2: 5616235134305678745660899278719002510083
Found probable prime factor of 40 digits: 5616235134305678745660899278719002510083
Probable prime cofactor 178055223131... has 226 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
900Serge BatalovDecember 4, 2011 20:24:50 UTC 2011 年 12 月 5 日 (月) 5 時 24 分 50 秒 (日本時間)
403e6300 / 2073Serge BatalovDecember 4, 2011 20:24:50 UTC 2011 年 12 月 5 日 (月) 5 時 24 分 50 秒 (日本時間)

10267-5×10133-1

c248

composite cofactor 合成数の残り
78138257673580139319031313073456279363315825621999477402707347367948301733054778016512546175497395524387826188363512235657467738416799179373463167131082626634672748456142216052677961183224006900601010669147701907014642184010386050072773677743482487<248>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:47:38 UTC 2011 年 12 月 11 日 (日) 4 時 47 分 38 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 17, 2011 20:28:34 UTC 2011 年 12 月 18 日 (日) 5 時 28 分 34 秒 (日本時間)

10269-5×10134-1

c262

composite cofactor 合成数の残り
4592128733165313465825125400703413095088796386068161058628947411079511652825148774638664906534337435956450639001601413053116739764937173020343635422082986838086546288910197386683827757884420987442686215297455368297219838014495789086833618405031540347384435980743<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e62768450Serge BatalovDecember 5, 2011 05:34:06 UTC 2011 年 12 月 5 日 (月) 14 時 34 分 6 秒 (日本時間)
2318Wataru SakaiDecember 6, 2011 07:20:01 UTC 2011 年 12 月 6 日 (火) 16 時 20 分 1 秒 (日本時間)
4511e60--
5043e61100600Dmitry DomanovJanuary 7, 2012 20:26:23 UTC 2012 年 1 月 8 日 (日) 5 時 26 分 23 秒 (日本時間)
500Dmitry DomanovFebruary 1, 2012 14:54:39 UTC 2012 年 2 月 1 日 (水) 23 時 54 分 39 秒 (日本時間)
5511e75291 / 173551Dmitry DomanovFebruary 1, 2012 14:54:47 UTC 2012 年 2 月 1 日 (水) 23 時 54 分 47 秒 (日本時間)
2645yoyo@homeDecember 8, 2012 12:15:37 UTC 2012 年 12 月 8 日 (土) 21 時 15 分 37 秒 (日本時間)
2645yoyo@homeDecember 29, 2012 11:00:08 UTC 2012 年 12 月 29 日 (土) 20 時 0 分 8 秒 (日本時間)

10271-5×10135-1

c228

composite cofactor 合成数の残り
233516176663272730821457586485917862067003811937762661985080954817838109955257841588795943461973939311309156669235607712399242030554313226145002176381003228989115702046887040577074403432511437232660622564473874670707529783455583<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:45:06 UTC 2011 年 12 月 11 日 (日) 4 時 45 分 6 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 18, 2011 22:16:59 UTC 2011 年 12 月 19 日 (月) 7 時 16 分 59 秒 (日本時間)

10275-5×10137-1

c254

name 名前Dmitry Domanov
date 日付December 18, 2011 08:39:13 UTC 2011 年 12 月 18 日 (日) 17 時 39 分 13 秒 (日本時間)
composite number 合成数
39996705310797033990870707130709705976876784913257872562711168685673228360091193078878586340214552282514711609195205957030463623907518618911511797518657371091035215375973663863430717286681491958476573397252821049214408551336945002713965014427116633508793<254>
prime factors 素因数
155462224082098694051620606144568061839<39>
composite cofactor 合成数の残り
257276039545626255375078726806881213870654648018005970948117924143709999902364872735226095669930002293170499478288750469203723129430928582989998628352202073091775322546821085431711620057663662468333496381517634399287<216>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=852055419
Step 1 took 151938ms
Step 2 took 43887ms
********** Factor found in step 2: 155462224082098694051620606144568061839
Found probable prime factor of 39 digits: 155462224082098694051620606144568061839

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:45:17 UTC 2011 年 12 月 11 日 (日) 4 時 45 分 17 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 17, 2011 20:28:08 UTC 2011 年 12 月 18 日 (日) 5 時 28 分 8 秒 (日本時間)

10279-5×10139-1

c246

name 名前Dmitry Domanov
date 日付December 12, 2011 06:17:48 UTC 2011 年 12 月 12 日 (月) 15 時 17 分 48 秒 (日本時間)
composite number 合成数
168489158864802400543855298611732329704668450018428702225327931041385248918732025292711956461269511325595525046340569814857922545159504347345055968892265061087829699219657924435593607250847898703388879679267956713815286754929002825570448401888847<246>
prime factors 素因数
13630346088404401801227555637371700433<38>
composite cofactor 合成数の残り
12361326540940833213063227678635700053086110917075968699447833807705353590753902990214926611066469441191897441116444395277122726897913027664611193588643100407892484804147506606870599131787306537649622767440159<209>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=698156847
Step 1 took 110873ms
Step 2 took 37731ms
********** Factor found in step 2: 13630346088404401801227555637371700433
Found probable prime factor of 38 digits: 13630346088404401801227555637371700433

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:45:29 UTC 2011 年 12 月 11 日 (日) 4 時 45 分 29 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 18, 2011 22:16:22 UTC 2011 年 12 月 19 日 (月) 7 時 16 分 22 秒 (日本時間)

10281-5×10140-1

c244

composite cofactor 合成数の残り
1257034685283032429378444318949173373436541389514371407701928863591113517667298889748771510882954572815863137527608164212248607945837579868274571833107684103340553527010353539350123581361907668815063959510911737863887160894579724078679174745337<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:45:40 UTC 2011 年 12 月 11 日 (日) 4 時 45 分 40 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 17, 2011 20:27:33 UTC 2011 年 12 月 18 日 (日) 5 時 27 分 33 秒 (日本時間)

10283-5×10141-1

c253

name 名前Serge Batalov
date 日付December 11, 2011 06:47:54 UTC 2011 年 12 月 11 日 (日) 15 時 47 分 54 秒 (日本時間)
composite number 合成数
7081857125824545606367483495143174562819650906878398544464236098571455430485532873047549953429133735896002815326227443228500146156453060333729916014602120781889008936357039743096098759279345993026621571668004920733207806388141290363460403422460711984201<253>
prime factors 素因数
6635200721161906278741334394290613<34>
1067316185814560290900633545748834221174437737347196588519916483980125881557412433225403950134350216301917352293659425847032223444185004887209766195820727569839228768875287347263518043714084245563007935746714446482939077<220>
factorization results 素因数分解の結果
Using B1=6000000, B2=35128842850, polynomial Dickson(12), sigma=999014207
Step 1 took 50064ms
Step 2 took 26313ms
********** Factor found in step 2: 6635200721161906278741334394290613
Found probable prime factor of 34 digits: 6635200721161906278741334394290613
Probable prime cofactor 106731618581... has 220 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300 / 2318Dmitry DomanovDecember 10, 2011 19:45:51 UTC 2011 年 12 月 11 日 (日) 4 時 45 分 51 秒 (日本時間)

10285-5×10142-1

c271

composite cofactor 合成数の残り
9594967316179506343695316308752401281439878316026886337569166060329883303573833018818404826753109487790492979651496930532519872872467612725529250877159278953749455474887096390041889236679584173751600710019601596871465541074176213700712998988786433301914816486976736405967<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e633181000Dmitry DomanovDecember 5, 2011 12:20:48 UTC 2011 年 12 月 5 日 (月) 21 時 20 分 48 秒 (日本時間)
2318Wataru SakaiDecember 6, 2011 07:19:27 UTC 2011 年 12 月 6 日 (火) 16 時 19 分 27 秒 (日本時間)
4511e64000Wataru SakaiDecember 16, 2011 07:03:05 UTC 2011 年 12 月 16 日 (金) 16 時 3 分 5 秒 (日本時間)
5043e60--
5511e75440 / 174932720yoyo@homeDecember 8, 2012 12:35:55 UTC 2012 年 12 月 8 日 (土) 21 時 35 分 55 秒 (日本時間)
2720yoyo@homeDecember 29, 2012 17:10:19 UTC 2012 年 12 月 30 日 (日) 2 時 10 分 19 秒 (日本時間)

10287-5×10143-1

c277

composite cofactor 合成数の残り
1995406573230352966713876410483239490290390934147627968075486483523225212481113886590999686353793698637143941219711768197330801851259463936489216969211404220415813025839875136582838747837685374176817109858841760127473017859349110845906097608025763696599606952224145098050147619<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e633181000Dmitry DomanovDecember 5, 2011 12:20:13 UTC 2011 年 12 月 5 日 (月) 21 時 20 分 13 秒 (日本時間)
2318Wataru SakaiDecember 6, 2011 07:19:42 UTC 2011 年 12 月 6 日 (火) 16 時 19 分 42 秒 (日本時間)
4511e60--
5043e61080540Dmitry DomanovDecember 16, 2011 22:42:19 UTC 2011 年 12 月 17 日 (土) 7 時 42 分 19 秒 (日本時間)
540Dmitry DomanovDecember 19, 2011 21:17:32 UTC 2011 年 12 月 20 日 (火) 6 時 17 分 32 秒 (日本時間)
5511e75290 / 173582645yoyo@homeDecember 8, 2012 12:46:56 UTC 2012 年 12 月 8 日 (土) 21 時 46 分 56 秒 (日本時間)
2645yoyo@homeJanuary 4, 2013 08:15:18 UTC 2013 年 1 月 4 日 (金) 17 時 15 分 18 秒 (日本時間)

10289-5×10144-1

c267

composite cofactor 合成数の残り
275032240867451022944381080541332503190337643534183145391929455132046636576222408138779178535650807620509010079759273448285217376781806574449323798171064042626065326923288685020458962054556809266388154776200874556722593537863693534800251879822098523041490811540719247<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:44:33 UTC 2011 年 12 月 11 日 (日) 4 時 44 分 33 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 17, 2011 20:26:56 UTC 2011 年 12 月 18 日 (日) 5 時 26 分 56 秒 (日本時間)

10291-5×10145-1

c261

composite cofactor 合成数の残り
148977608112136120049561771613235867057102963221018497547016862169837496895219229126098368675145070944775282908915081878363462392162182562452442128753618754257946282537573418748917853160611587967583626747190832219986240997878153174014850410342281877837413361371<261>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:44:45 UTC 2011 年 12 月 11 日 (日) 4 時 44 分 45 秒 (日本時間)
4511e6800 / 4409Dmitry DomanovDecember 15, 2011 17:19:48 UTC 2011 年 12 月 16 日 (金) 2 時 19 分 48 秒 (日本時間)

10293-5×10146-1

c289

name 名前kh9
date 日付December 11, 2012 01:47:10 UTC 2012 年 12 月 11 日 (火) 10 時 47 分 10 秒 (日本時間)
composite number 合成数
1693279374163943309006552991178014460605855360075858915962544660243493574004775047835142320131398479435122000778908512115413922143014375941886651870227068764075384797737778756116971739167245203786172680630577238938652488274040333914692585129620536092249860304451631474677006959378227813807<289>
prime factors 素因数
4858492338989264456942199873515203775999966112458946931501<58>
348519510996327796252049933075911896911312131299814938942919846910434148014018584623746511781654108488584125644258364911748225315573504828542386271319621333089243376125050985635745337847565162184280262090305378839737924461515343307<231>
factorization results 素因数分解の結果
GMP-ECM 6.3 [configured with GMP 5.0.1] [ECM]
Input number is 1693279374163943309006552991178014460605855360075858915962544660243493574004775047835142320131398479435122000778908512115413922143014375941886651870227068764075384797737778756116971739167245203786172680630577238938652488274040333914692585129620536092249860304451631474677006959378227813807 (289 digits)
[Mon Dec 10 19:00:35 2012]
Using MODMULN
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=2829420857
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 1253203ms
Using 34 small primes for NTT
Estimated memory usage: 961M
Initializing tables of differences for F took 812ms
Computing roots of F took 30485ms
Building F from its roots took 17953ms
Computing 1/F took 8750ms
Initializing table of differences for G took 687ms
Computing roots of G took 25922ms
Building G from its roots took 17016ms
Computing roots of G took 26016ms
Building G from its roots took 16953ms
Computing G * H took 4719ms
Reducing  G * H mod F took 5125ms
Computing roots of G took 25953ms
Building G from its roots took 17391ms
Computing G * H took 4765ms
Reducing  G * H mod F took 5141ms
Computing roots of G took 26359ms
Building G from its roots took 17454ms
Computing G * H took 4797ms
Reducing  G * H mod F took 5047ms
Computing polyeval(F,G) took 36313ms
Computing product of all F(g_i) took 141ms
Step 2 took 298875ms
********** Factor found in step 2: 4858492338989264456942199873515203775999966112458946931501
Found probable prime factor of 58 digits: 4858492338989264456942199873515203775999966112458946931501
Probable prime cofactor 348519510996327796252049933075911896911312131299814938942919846910434148014018584623746511781654108488584125644258364911748225315573504828542386271319621333089243376125050985635745337847565162184280262090305378839737924461515343307 has 231 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
351e6818118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
700Serge BatalovDecember 5, 2011 05:34:26 UTC 2011 年 12 月 5 日 (月) 14 時 34 分 26 秒 (日本時間)
403e63768450Serge BatalovDecember 5, 2011 05:34:26 UTC 2011 年 12 月 5 日 (月) 14 時 34 分 26 秒 (日本時間)
1000Dmitry DomanovDecember 5, 2011 12:19:27 UTC 2011 年 12 月 5 日 (月) 21 時 19 分 27 秒 (日本時間)
2318Wataru SakaiDecember 6, 2011 07:20:31 UTC 2011 年 12 月 6 日 (火) 16 時 20 分 31 秒 (日本時間)
4511e64000Wataru SakaiDecember 11, 2011 08:19:08 UTC 2011 年 12 月 11 日 (日) 17 時 19 分 8 秒 (日本時間)
5043e61800800Dmitry DomanovDecember 9, 2011 23:21:00 UTC 2011 年 12 月 10 日 (土) 8 時 21 分 0 秒 (日本時間)
1000Markus TervoorenMarch 17, 2012 10:10:08 UTC 2012 年 3 月 17 日 (土) 19 時 10 分 8 秒 (日本時間)
5511e72510 / 16846545yoyo@homeDecember 8, 2012 13:31:54 UTC 2012 年 12 月 8 日 (土) 22 時 31 分 54 秒 (日本時間)
1965yoyo@homeJanuary 4, 2013 13:45:30 UTC 2013 年 1 月 4 日 (金) 22 時 45 分 30 秒 (日本時間)

10295-5×10147-1

c240

composite cofactor 合成数の残り
109356566887638339980607624699265267026519061693597031433481314472737142918020083983699767084964730151628487228385682907182972926017341406484846345268476850057488364044587568343621352518993519475089838012950589171601944864135946917178000419<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:43:46 UTC 2011 年 12 月 11 日 (日) 4 時 43 分 46 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 14, 2011 11:04:37 UTC 2011 年 12 月 14 日 (水) 20 時 4 分 37 秒 (日本時間)

10297-5×10148-1

c259

composite cofactor 合成数の残り
6668141970382211765427030058480590988911648800557362294402508334100826785229146046791305344073658362471013389802137829766928110217096884327009150608504194334882468154561276494333156333346035611933344819166808435758005222404202526482943586900076063882564449167<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6300Dmitry DomanovDecember 10, 2011 19:44:15 UTC 2011 年 12 月 11 日 (日) 4 時 44 分 15 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovDecember 14, 2011 11:03:01 UTC 2011 年 12 月 14 日 (水) 20 時 3 分 1 秒 (日本時間)

10299-5×10149-1

c290

composite cofactor 合成数の残り
63784378225916854655760083133854122023249483680288129140587230329591250779503305165835113023261596971557013010454905726979201015816740475280836541866366970577776100617162399247575491520871837743303493561798447463868348701457440321076170233537679494685919021066652775109455763052169091782001<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e623181000Dmitry DomanovDecember 5, 2011 12:18:29 UTC 2011 年 12 月 5 日 (月) 21 時 18 分 29 秒 (日本時間)
1318Wataru SakaiDecember 11, 2011 08:19:27 UTC 2011 年 12 月 11 日 (日) 17 時 19 分 27 秒 (日本時間)
4511e60--
5043e61160640Dmitry DomanovDecember 12, 2011 17:24:14 UTC 2011 年 12 月 13 日 (火) 2 時 24 分 14 秒 (日本時間)
520Dmitry DomanovDecember 15, 2011 17:11:15 UTC 2011 年 12 月 16 日 (金) 2 時 11 分 15 秒 (日本時間)
5511e75260 / 173372630yoyo@homeDecember 8, 2012 14:06:31 UTC 2012 年 12 月 8 日 (土) 23 時 6 分 31 秒 (日本時間)
2630yoyo@homeJanuary 4, 2013 16:20:10 UTC 2013 年 1 月 5 日 (土) 1 時 20 分 10 秒 (日本時間)

10301-5×10150-1

c258

name 名前Dmitry Domanov
date 日付December 14, 2011 06:12:04 UTC 2011 年 12 月 14 日 (水) 15 時 12 分 4 秒 (日本時間)
composite number 合成数
367273479563541184935045532097018328194083878470236972150041739153361971743799837852945349026566279615159542535710912808728292573207843246721433859471408005825338731245776372800188697777308697013996909253988863709689465801675201680321786810848971225714284271<258>
prime factors 素因数
45417409244607996230213972304678438124284876923<47>
composite cofactor 合成数の残り
8086623294285424002309687982701832750562965122141889124968324699797819596742573000282126886359431100549215672379183021873737918879942209871663576144278098017140257137178477046852781243787214322580858309836104477<211>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3380296037
Step 1 took 600118ms
Step 2 took 135019ms
********** Factor found in step 2: 45417409244607996230213972304678438124284876923
Found probable prime factor of 47 digits: 45417409244607996230213972304678438124284876923

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaDecember 4, 2011 02:00:00 UTC 2011 年 12 月 4 日 (日) 11 時 0 分 0 秒 (日本時間)
403e6800Dmitry DomanovDecember 5, 2011 11:54:29 UTC 2011 年 12 月 5 日 (月) 20 時 54 分 29 秒 (日本時間)
4511e6440Dmitry DomanovDecember 12, 2011 12:04:07 UTC 2011 年 12 月 12 日 (月) 21 時 4 分 7 秒 (日本時間)
5043e61100 / 7424440Dmitry DomanovDecember 13, 2011 20:07:38 UTC 2011 年 12 月 14 日 (水) 5 時 7 分 38 秒 (日本時間)
660Dmitry DomanovDecember 14, 2011 22:14:09 UTC 2011 年 12 月 15 日 (木) 7 時 14 分 9 秒 (日本時間)