Table of contents 目次

655×1094-79

c96

name 名前KTakahashi
date 日付January 8, 2015 13:18:45 UTC 2015 年 1 月 8 日 (木) 22 時 18 分 45 秒 (日本時間)
composite number 合成数
727777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<96>
prime factors 素因数
41740199935736792502628043377662607<35>
17435895824607078285611083920519628457016689505973603840301311<62>
factorization results 素因数分解の結果
Number: 72777_94
N=727777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 96 digits)
SNFS difficulty: 98 digits.
Divisors found:
 r1=41740199935736792502628043377662607 (pp35)
 r2=17435895824607078285611083920519628457016689505973603840301311 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.27 hours.
Scaled time: 0.40 units (timescale=1.488).
Factorization parameters were as follows:
n: 727777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 1000000000000000000000000
c4: 131
c0: -140
skew: 1.02
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 240001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 29436 x 29662
Total sieving time: 0.26 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,98.0000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.27 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×1098-79

c100

name 名前KTakahashi
date 日付January 8, 2015 13:21:29 UTC 2015 年 1 月 8 日 (木) 22 時 21 分 29 秒 (日本時間)
composite number 合成数
7277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777<100>
prime factors 素因数
39872515025784365252630235296220987616777<41>
182526178072074363360344457119997363648722271130661118793001<60>
factorization results 素因数分解の結果
Number: 72777_98
N=7277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
  ( 100 digits)
SNFS difficulty: 102 digits.
Divisors found:
 r1=39872515025784365252630235296220987616777 (pp41)
 r2=182526178072074363360344457119997363648722271130661118793001 (pp60)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 0.39 hours.
Scaled time: 0.60 units (timescale=1.543).
Factorization parameters were as follows:
n: 7277777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
m: 10000000000000000000000000
c4: 131
c0: -140
skew: 1.02
type: snfs
Factor base limits: 300000/350000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [150000, 300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 33101 x 33330
Total sieving time: 0.38 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,102.000,4,0,0,0,0,0,0,0,0,300000,350000,25,25,43,43,2.1,2.1,10000
total time: 0.39 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10112-79

c96

name 名前KTakahashi
date 日付January 8, 2015 13:42:41 UTC 2015 年 1 月 8 日 (木) 22 時 42 分 41 秒 (日本時間)
composite number 合成数
822570907141190353562839394615182742530145588985792354508569376157417160631019847090735622866337<96>
prime factors 素因数
86499711208506600257362704646187<32>
9509522004742793305764216771712565564919325257461565890706628451<64>
factorization results 素因数分解の結果
Number: 72777_112
N=822570907141190353562839394615182742530145588985792354508569376157417160631019847090735622866337
  ( 96 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=86499711208506600257362704646187 (pp32)
 r2=9509522004742793305764216771712565564919325257461565890706628451 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.78 hours.
Scaled time: 3.00 units (timescale=1.683).
Factorization parameters were as follows:
n: 822570907141190353562839394615182742530145588985792354508569376157417160631019847090735622866337
m: 50000000000000000000000
c5: 524
c0: -175
skew: 0.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 600001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 102633 x 102858
Total sieving time: 1.72 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.78 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10116-79

c103

name 名前KTakahashi
date 日付January 8, 2015 13:54:39 UTC 2015 年 1 月 8 日 (木) 22 時 54 分 39 秒 (日本時間)
composite number 合成数
7506525841808206412212018227925945272671344549590858389930024732932531192833812447095266408317150922947<103>
prime factors 素因数
100089745762621766936281818769569580218240817867423<51>
74997950935064691727533263202495181987438300428260189<53>
factorization results 素因数分解の結果
Number: 72777_116
N=7506525841808206412212018227925945272671344549590858389930024732932531192833812447095266408317150922947
  ( 103 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=100089745762621766936281818769569580218240817867423 (pp51)
 r2=74997950935064691727533263202495181987438300428260189 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.73 hours.
Scaled time: 5.64 units (timescale=2.063).
Factorization parameters were as follows:
n: 7506525841808206412212018227925945272671344549590858389930024732932531192833812447095266408317150922947
m: 500000000000000000000000
c5: 262
c0: -875
skew: 1.27
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 550001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 107244 x 107476
Total sieving time: 2.67 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.73 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10117-79

c109

name 名前KTakahashi
date 日付January 8, 2015 13:56:13 UTC 2015 年 1 月 8 日 (木) 22 時 56 分 13 秒 (日本時間)
composite number 合成数
1597195047507582901310088976898185856237630372272636353347978202437021593220684841224573015666500155793473743<109>
prime factors 素因数
510476205976556524529835706423542907<36>
3128833486865661339775849852140305642302186687513657837145569850678965949<73>
factorization results 素因数分解の結果
Number: 72777_117
N=1597195047507582901310088976898185856237630372272636353347978202437021593220684841224573015666500155793473743
  ( 109 digits)
SNFS difficulty: 121 digits.
Divisors found:
 r1=510476205976556524529835706423542907 (pp36)
 r2=3128833486865661339775849852140305642302186687513657837145569850678965949 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.26 hours.
Scaled time: 3.42 units (timescale=1.513).
Factorization parameters were as follows:
n: 1597195047507582901310088976898185856237630372272636353347978202437021593220684841224573015666500155793473743
m: 500000000000000000000000
c5: 524
c0: -175
skew: 0.80
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 119685 x 119910
Total sieving time: 2.18 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,121.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.26 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10120-79

c109

name 名前KTakahashi
date 日付January 8, 2015 14:04:52 UTC 2015 年 1 月 8 日 (木) 23 時 4 分 52 秒 (日本時間)
composite number 合成数
8383296133016569988872808815280543752640573396624094327585514030634272044937466220100067918804248961278087769<109>
prime factors 素因数
5646238659146328680189418573496286881<37>
1484757665961655440397762712601303674831720331303406980787958741866942649<73>
factorization results 素因数分解の結果
Number: 72777_120
N=8383296133016569988872808815280543752640573396624094327585514030634272044937466220100067918804248961278087769
  ( 109 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=5646238659146328680189418573496286881 (pp37)
 r2=1484757665961655440397762712601303674831720331303406980787958741866942649 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.42 hours.
Scaled time: 4.00 units (timescale=1.656).
Factorization parameters were as follows:
n: 8383296133016569988872808815280543752640573396624094327585514030634272044937466220100067918804248961278087769
m: 1000000000000000000000000
c5: 655
c0: -7
skew: 0.40
type: snfs
Factor base limits: 600000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [300000, 500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 98761 x 98992
Total sieving time: 2.36 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,122.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 2.42 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10121-79

c105

name 名前KTakahashi
date 日付January 8, 2015 14:10:35 UTC 2015 年 1 月 8 日 (木) 23 時 10 分 35 秒 (日本時間)
composite number 合成数
497737495053829157769351793859667980225013278768020111907178498529650507909362670768720657955614431379611<105>
prime factors 素因数
23423659944510497977690835538453961<35>
21249347720763744055942675234463103237638292010457314497618172923491651<71>
factorization results 素因数分解の結果
Input number is 497737495053829157769351793859667980225013278768020111907178498529650507909362670768720657955614431379611 (105 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=389144223
Step 1 took 2995ms
Step 2 took 1950ms
********** Factor found in step 2: 23423659944510497977690835538453961
Found probable prime factor of 35 digits: 23423659944510497977690835538453961
Probable prime cofactor 21249347720763744055942675234463103237638292010457314497618172923491651 has 71 digits
software ソフトウェア
GMP-ECM 6.4.4

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10123-79

c96

name 名前KTakahashi
date 日付January 8, 2015 14:24:44 UTC 2015 年 1 月 8 日 (木) 23 時 24 分 44 秒 (日本時間)
composite number 合成数
443903334606162448149783974149390098617874222913477236016611914864532957174295576618919801202341<96>
prime factors 素因数
957623356232823611254922311751<30>
463546896300049918338870763999692267281640279244149400604120583091<66>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [ECM]
Input number is 443903334606162448149783974149390098617874222913477236016611914864532957174295576618919801202341 (96 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=987654321
Step 1 took 2106ms
Step 2 took 1482ms
********** Factor found in step 2: 957623356232823611254922311751
Found probable prime factor of 30 digits: 957623356232823611254922311751
Probable prime cofactor 463546896300049918338870763999692267281640279244149400604120583091 has 66 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10125-79

c105

name 名前KTakahashi
date 日付January 8, 2015 14:32:36 UTC 2015 年 1 月 8 日 (木) 23 時 32 分 36 秒 (日本時間)
composite number 合成数
940624822235925556769958190226151283396570455546998761169920133946971873748263991867425548856349310837249<105>
prime factors 素因数
13835561237116948871664256551446580185939<41>
67986025728576280361850569922307144758493251173959810946412611291<65>
factorization results 素因数分解の結果
Number: 72777_125
N=940624822235925556769958190226151283396570455546998761169920133946971873748263991867425548856349310837249
  ( 105 digits)
SNFS difficulty: 127 digits.
Divisors found:
 r1=13835561237116948871664256551446580185939 (pp41)
 r2=67986025728576280361850569922307144758493251173959810946412611291 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.60 hours.
Scaled time: 4.24 units (timescale=1.634).
Factorization parameters were as follows:
n: 940624822235925556769958190226151283396570455546998761169920133946971873748263991867425548856349310837249
m: 10000000000000000000000000
c5: 655
c0: -7
skew: 0.40
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 800001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 97715 x 97940
Total sieving time: 2.53 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,127.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 2.60 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:32:02 UTC 2015 年 1 月 8 日 (木) 23 時 32 分 2 秒 (日本時間)

655×10128-79

c115

name 名前KTakahashi
date 日付January 8, 2015 15:00:23 UTC 2015 年 1 月 9 日 (金) 0 時 0 分 23 秒 (日本時間)
composite number 合成数
1331672017953674700702304776899268354526631483198893882508313652058046500453274352254868050830758331290522937489053<115>
prime factors 素因数
452532167523189332723010428908314327784723<42>
2942712393777918923067191970930984158757521896926409022043024144018637711<73>
factorization results 素因数分解の結果
Number: 72777_128
N=1331672017953674700702304776899268354526631483198893882508313652058046500453274352254868050830758331290522937489053
  ( 115 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=452532167523189332723010428908314327784723 (pp42)
 r2=2942712393777918923067191970930984158757521896926409022043024144018637711 (pp73)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.40 hours.
Scaled time: 5.30 units (timescale=1.561).
Factorization parameters were as follows:
n: 1331672017953674700702304776899268354526631483198893882508313652058046500453274352254868050830758331290522937489053
m: 100000000000000000000000000
c5: 131
c0: -140
skew: 1.01
type: snfs
Factor base limits: 800000/800000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [400000, 1000001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 111989 x 112214
Total sieving time: 3.32 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,132.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.40 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
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 14:59:50 UTC 2015 年 1 月 8 日 (木) 23 時 59 分 50 秒 (日本時間)

655×10132-79

c132

name 名前KTakahashi
date 日付January 8, 2015 16:03:15 UTC 2015 年 1 月 9 日 (金) 1 時 3 分 15 秒 (日本時間)
composite number 合成数
174527045030642152944311217692512656541433519850786037836397548627764455102584598987476685318411937116973088196109778843591793232081<132>
prime factors 素因数
180497544302325543070041528655058593<36>
966921991682706423431838053880908678340865585574307148185302811389860811297635002861590352852017<96>
factorization results 素因数分解の結果
Input number is 174527045030642152944311217692512656541433519850786037836397548627764455102584598987476685318411937116973088196109778843591793232081 (132 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4253642
Step 1 took 3510ms
Step 2 took 2247ms
********** Factor found in step 2: 180497544302325543070041528655058593
Found probable prime factor of 36 digits: 180497544302325543070041528655058593
Probable prime cofactor 966921991682706423431838053880908678340865585574307148185302811389860811297635002861590352852017 has 96 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10135-79

c118

name 名前Jo Yeong Uk
date 日付January 10, 2015 06:13:22 UTC 2015 年 1 月 10 日 (土) 15 時 13 分 22 秒 (日本時間)
composite number 合成数
4248777963666173164980308842029379054194649471558556722555455670035686128771351131500898595123161991099098506388557587<118>
prime factors 素因数
3117915077542714110852589496665839947809161806973883<52>
1362698424427490428793009345534363767400776383289610739315475454089<67>
factorization results 素因数分解の結果
Number: 72777_135
N=4248777963666173164980308842029379054194649471558556722555455670035686128771351131500898595123161991099098506388557587
  ( 118 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=3117915077542714110852589496665839947809161806973883
 r2=1362698424427490428793009345534363767400776383289610739315475454089
Version: 
Total time: 1.51 hours.
Scaled time: 7.91 units (timescale=5.257).
Factorization parameters were as follows:
n: 4248777963666173164980308842029379054194649471558556722555455670035686128771351131500898595123161991099098506388557587
m: 1000000000000000000000000000
deg: 5
c5: 655
c0: -7
skew: 0.40
# Murphy_E = 3.983e-09
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1275001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3383622
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 206020 x 206268
Total sieving time: 1.27 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,25000
total time: 1.51 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:03:39 UTC 2015 年 1 月 9 日 (金) 1 時 3 分 39 秒 (日本時間)

655×10136-79

c116

name 名前Jo Yeong Uk
date 日付January 10, 2015 10:41:16 UTC 2015 年 1 月 10 日 (土) 19 時 41 分 16 秒 (日本時間)
composite number 合成数
11080176676153599866269046458004798379869055429197006422332255606019859379847543419108021700634279117131713947021429<116>
prime factors 素因数
20303415890911598572179421363260055527989623<44>
545729680940703691034305547747755860050472235668253684904393998081988723<72>
factorization results 素因数分解の結果
Number: 72777_136
N=11080176676153599866269046458004798379869055429197006422332255606019859379847543419108021700634279117131713947021429
  ( 116 digits)
SNFS difficulty: 138 digits.
Divisors found:
 r1=20303415890911598572179421363260055527989623
 r2=545729680940703691034305547747755860050472235668253684904393998081988723
Version: 
Total time: 2.44 hours.
Scaled time: 12.79 units (timescale=5.247).
Factorization parameters were as follows:
n: 11080176676153599866269046458004798379869055429197006422332255606019859379847543419108021700634279117131713947021429
m: 1000000000000000000000000000
deg: 5
c5: 6550
c0: -7
skew: 0.25
# Murphy_E = 2.572e-09
type: snfs
lss: 1
rlim: 1500000
alim: 1500000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3

Factor base limits: 1500000/1500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [750000, 1750001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3836800
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 269228 x 269476
Total sieving time: 2.03 hours.
Total relation processing time: 0.32 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,138,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000
total time: 2.44 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:03:55 UTC 2015 年 1 月 9 日 (金) 1 時 3 分 55 秒 (日本時間)

655×10139-79

c119

name 名前Jo Yeong Uk
date 日付January 12, 2015 10:01:37 UTC 2015 年 1 月 12 日 (月) 19 時 1 分 37 秒 (日本時間)
composite number 合成数
13241517317901441067135610219030373747678180223952674092971176750530656551586767079342211198853801943386250481730924063<119>
prime factors 素因数
66337462966752104158542541151245524689<38>
199608437309970711419784131765930283552054873325267889432780003240175893274909167<81>
factorization results 素因数分解の結果
Number: 72777_139
N=13241517317901441067135610219030373747678180223952674092971176750530656551586767079342211198853801943386250481730924063
  ( 119 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=66337462966752104158542541151245524689
 r2=199608437309970711419784131765930283552054873325267889432780003240175893274909167
Version: 
Total time: 2.50 hours.
Scaled time: 13.14 units (timescale=5.257).
Factorization parameters were as follows:
n: 13241517317901441067135610219030373747678180223952674092971176750530656551586767079342211198853801943386250481730924063
m: 10000000000000000000000000000
deg: 5
c5: 131
c0: -14
skew: 0.64
# Murphy_E = 2.337e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [950000, 1950001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4236669
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 300687 x 300935
Total sieving time: 2.22 hours.
Total relation processing time: 0.18 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,48,48,2.3,2.3,50000
total time: 2.50 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:04:17 UTC 2015 年 1 月 9 日 (金) 1 時 4 分 17 秒 (日本時間)

655×10140-79

c120

name 名前KTakahashi
date 日付January 8, 2015 16:05:07 UTC 2015 年 1 月 9 日 (金) 1 時 5 分 7 秒 (日本時間)
composite number 合成数
101094683546172656985572315941807671401623060869918994083439678665226544028138673416638813107991183934072640828776510827<120>
prime factors 素因数
12924442303127426689498282675568111<35>
composite cofactor 合成数の残り
7821976467155569182088615274677868127633757577316649787862529173023897580481393343557<85>
factorization results 素因数分解の結果
Input number is 101094683546172656985572315941807671401623060869918994083439678665226544028138673416638813107991183934072640828776510827 (120 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2906925882
Step 1 took 3525ms
Step 2 took 2184ms
********** Factor found in step 2: 12924442303127426689498282675568111
Found probable prime factor of 35 digits: 12924442303127426689498282675568111
Composite cofactor 7821976467155569182088615274677868127633757577316649787862529173023897580481393343557 has 85 digits
software ソフトウェア
GMP-ECM 6.4.4

c85

name 名前KTakahashi
date 日付January 9, 2015 15:00:25 UTC 2015 年 1 月 10 日 (土) 0 時 0 分 25 秒 (日本時間)
composite number 合成数
7821976467155569182088615274677868127633757577316649787862529173023897580481393343557<85>
prime factors 素因数
180950547397590460518479026726577804715739<42>
43227150067520197547907153754793550134068063<44>
factorization results 素因数分解の結果
Msieve v. 1.51 (SVN Official Release)
Mon Dec 29 12:08:04 2014
random seeds: 1ff22280 743b1ead
factoring 7821976467155569182088615274677868127633757577316649787862529173023897580481393343557 (85 digits)
searching for 15-digit factors
commencing quadratic sieve (85-digit input)
using multiplier of 13
using VC8 64kb sieve core
sieve interval: 6 blocks of size 65536
processing polynomials in batches of 17
using a sieve bound of 1437047 (55000 primes)
using large prime bound of 114963760 (26 bits)
using double large prime bound of 322856635975840 (41-49 bits)
using trial factoring cutoff of 49 bits
polynomial 'A' values have 11 factors
55335 relations (16316 full + 39019 combined from 566768 partial), need 55096
begin with 583084 relations
reduce to 128523 relations in 10 passes
attempting to read 128523 relations
recovered 128523 relations
recovered 107317 polynomials
attempting to build 55335 cycles
found 55335 cycles in 6 passes
distribution of cycle lengths:
   length 1 : 16316
   length 2 : 11626
   length 3 : 9803
   length 4 : 6941
   length 5 : 4625
   length 6 : 2773
   length 7 : 1551
   length 9+: 1700
largest cycle: 20 relations
matrix is 55000 x 55335 (12.8 MB) with weight 2922996 (52.82/col)
sparse part has weight 2922996 (52.82/col)
filtering completed in 3 passes
matrix is 49695 x 49759 (11.6 MB) with weight 2655554 (53.37/col)
sparse part has weight 2655554 (53.37/col)
saving the first 48 matrix rows for later
matrix includes 64 packed rows
matrix is 49647 x 49759 (7.2 MB) with weight 2010590 (40.41/col)
sparse part has weight 1382915 (27.79/col)
using block size 19858 for processor cache size 1024 kB
commencing Lanczos iteration
memory use: 4.4 MB
lanczos halted after 787 iterations (dim = 49645)
recovered 17 nontrivial dependencies
prp42 factor: 180950547397590460518479026726577804715739
prp44 factor: 43227150067520197547907153754793550134068063
elapsed time 00:28:09

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10141-79

c143

name 名前KTakahashi
date 日付January 8, 2015 16:07:19 UTC 2015 年 1 月 9 日 (金) 1 時 7 分 19 秒 (日本時間)
composite number 合成数
24259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<143>
prime factors 素因数
220416985056686651943609445349<30>
composite cofactor 合成数の残り
110060752591368054891326396700560404459236897944689274331079365378428257645624318526660139877376554772543287642591<114>
factorization results 素因数分解の結果
Input number is 24259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (143 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3559831401
Step 1 took 4275ms
Step 2 took 2558ms
********** Factor found in step 2: 220416985056686651943609445349
Found probable prime factor of 30 digits: 220416985056686651943609445349
Composite cofactor 110060752591368054891326396700560404459236897944689274331079365378428257645624318526660139877376554772543287642591 has 114 digits

c114

name 名前Jo Yeong Uk
date 日付January 14, 2015 11:57:39 UTC 2015 年 1 月 14 日 (水) 20 時 57 分 39 秒 (日本時間)
composite number 合成数
110060752591368054891326396700560404459236897944689274331079365378428257645624318526660139877376554772543287642591<114>
prime factors 素因数
25215765638140337772301998258331323871<38>
4364759498910263240550798149147280870838854365599776443918163046983713080321<76>
factorization results 素因数分解の結果
Number: 72777_141
N=110060752591368054891326396700560404459236897944689274331079365378428257645624318526660139877376554772543287642591
  ( 114 digits)
SNFS difficulty: 143 digits.
Divisors found:
 r1=25215765638140337772301998258331323871
 r2=4364759498910263240550798149147280870838854365599776443918163046983713080321
Version: 
Total time: 3.67 hours.
Scaled time: 19.30 units (timescale=5.254).
Factorization parameters were as follows:
n: 110060752591368054891326396700560404459236897944689274331079365378428257645624318526660139877376554772543287642591
m: 10000000000000000000000000000
deg: 5
c5: 6550
c0: -7
skew: 0.25
# Murphy_E = 1.68e-09
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1050000, 2500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4567199
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 343946 x 344194
Total sieving time: 3.26 hours.
Total relation processing time: 0.29 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,143,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,48,48,2.3,2.3,50000
total time: 3.67 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:06:46 UTC 2015 年 1 月 9 日 (金) 1 時 6 分 46 秒 (日本時間)
403e60--
4511e6800 / 4439730Pierre JammesJanuary 13, 2015 07:13:04 UTC 2015 年 1 月 13 日 (火) 16 時 13 分 4 秒 (日本時間)
70Pierre JammesJanuary 13, 2015 08:08:22 UTC 2015 年 1 月 13 日 (火) 17 時 8 分 22 秒 (日本時間)

655×10143-79

c122

name 名前Jo Yeong Uk
date 日付January 17, 2015 21:21:02 UTC 2015 年 1 月 18 日 (日) 6 時 21 分 2 秒 (日本時間)
composite number 合成数
87526686662791792769440510327216539709940156558881211413979923485542217954537613844565595610042486386903435654152776934133<122>
prime factors 素因数
1951554607171686063075097488272832552991<40>
44849724594507193374070519772479475488975604908781663721169020884553185630025222763<83>
factorization results 素因数分解の結果
Number: 72777_143
N=87526686662791792769440510327216539709940156558881211413979923485542217954537613844565595610042486386903435654152776934133
  ( 122 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1951554607171686063075097488272832552991
 r2=44849724594507193374070519772479475488975604908781663721169020884553185630025222763
Version: 
Total time: 3.20 hours.
Scaled time: 16.79 units (timescale=5.256).
Factorization parameters were as follows:
n: 87526686662791792769440510327216539709940156558881211413979923485542217954537613844565595610042486386903435654152776934133
m: 50000000000000000000000000000
deg: 5
c5: 1048
c0: -35
skew: 0.51
# Murphy_E = 1.703e-09
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1200000, 2350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4661382
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 355112 x 355360
Total sieving time: 2.81 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 3.20 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.24 BogoMIPS (lpj=3400120)
Total of 12 processors activated (81602.88 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:07:41 UTC 2015 年 1 月 9 日 (金) 1 時 7 分 41 秒 (日本時間)

655×10144-79

c141

name 名前Cyp
date 日付January 15, 2015 04:26:03 UTC 2015 年 1 月 15 日 (木) 13 時 26 分 3 秒 (日本時間)
composite number 合成数
750201294469470243351555780043271152526803947776827141022953868919790310148104625019614041477541493003657088142352699980185523062104068381707<141>
prime factors 素因数
913723253693530185651170799633141983227773672819931603822960453<63>
821037761091164626928213633899446040440722016169470817775964683671943042472719<78>
factorization results 素因数分解の結果
01/15/15 04:08:53 v1.34.3, 
01/15/15 04:08:53 v1.34.3, ****************************
01/15/15 04:08:53 v1.34.3, Starting factorization of 750201294469470243351555780043271152526803947776827141022953868919790310148104625019614041477541493003657088142352699980185523062104068381707
01/15/15 04:08:53 v1.34.3, using pretesting plan: none
01/15/15 04:08:53 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 04:08:53 v1.34.3, ****************************
01/15/15 04:08:53 v1.34.3, nfs: commencing nfs on c141: 750201294469470243351555780043271152526803947776827141022953868919790310148104625019614041477541493003657088142352699980185523062104068381707
01/15/15 04:08:53 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 04:08:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 04:11:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[20 lines snipped]
01/15/15 05:16:20 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 05:19:24 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 05:22:27 v1.34.3, nfs: commencing msieve filtering
01/15/15 05:23:15 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 05:25:19 v1.34.3, nfs: commencing msieve sqrt
01/15/15 05:26:02 v1.34.3, prp63 = 913723253693530185651170799633141983227773672819931603822960453
01/15/15 05:26:02 v1.34.3, prp78 = 821037761091164626928213633899446040440722016169470817775964683671943042472719
01/15/15 05:26:02 v1.34.3, NFS elapsed time = 4628.7711 seconds.
01/15/15 05:26:02 v1.34.3, 
01/15/15 05:26:02 v1.34.3, 
01/15/15 05:26:02 v1.34.3, Total factoring time = 4628.7719 seconds
--
Thu Jan 15 05:22:27 2015  
Thu Jan 15 05:22:27 2015  commencing relation filtering
Thu Jan 15 05:22:27 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 05:22:27 2015  commencing duplicate removal, pass 1
Thu Jan 15 05:22:39 2015  found 569646 hash collisions in 4602626 relations
Thu Jan 15 05:22:43 2015  added 186171 free relations
Thu Jan 15 05:22:43 2015  commencing duplicate removal, pass 2
Thu Jan 15 05:22:47 2015  found 372530 duplicates and 4416267 unique relations
Thu Jan 15 05:22:47 2015  memory use: 20.6 MB
Thu Jan 15 05:22:47 2015  reading ideals above 100000
Thu Jan 15 05:22:47 2015  commencing singleton removal, initial pass
Thu Jan 15 05:23:05 2015  memory use: 94.1 MB
Thu Jan 15 05:23:05 2015  reading all ideals from disk
Thu Jan 15 05:23:05 2015  memory use: 146.7 MB
Thu Jan 15 05:23:05 2015  keeping 4788858 ideals with weight <= 200, target excess is 24209
Thu Jan 15 05:23:05 2015  commencing in-memory singleton removal
Thu Jan 15 05:23:05 2015  begin with 4416267 relations and 4788858 unique ideals
Thu Jan 15 05:23:06 2015  reduce to 1907234 relations and 1660173 ideals in 12 passes
Thu Jan 15 05:23:06 2015  max relations containing the same ideal: 113
Thu Jan 15 05:23:07 2015  removing 446088 relations and 336599 ideals in 109489 cliques
Thu Jan 15 05:23:07 2015  commencing in-memory singleton removal
Thu Jan 15 05:23:07 2015  begin with 1461146 relations and 1660173 unique ideals
Thu Jan 15 05:23:07 2015  reduce to 1383968 relations and 1241106 ideals in 8 passes
Thu Jan 15 05:23:07 2015  max relations containing the same ideal: 92
Thu Jan 15 05:23:08 2015  removing 368034 relations and 258545 ideals in 109489 cliques
Thu Jan 15 05:23:08 2015  commencing in-memory singleton removal
Thu Jan 15 05:23:08 2015  begin with 1015934 relations and 1241106 unique ideals
Thu Jan 15 05:23:08 2015  reduce to 946973 relations and 908217 ideals in 8 passes
Thu Jan 15 05:23:08 2015  max relations containing the same ideal: 72
Thu Jan 15 05:23:08 2015  removing 59754 relations and 49081 ideals in 10673 cliques
Thu Jan 15 05:23:08 2015  commencing in-memory singleton removal
Thu Jan 15 05:23:08 2015  begin with 887219 relations and 908217 unique ideals
Thu Jan 15 05:23:08 2015  reduce to 884751 relations and 856636 ideals in 6 passes
Thu Jan 15 05:23:08 2015  max relations containing the same ideal: 67
Thu Jan 15 05:23:08 2015  relations with 0 large ideals: 544
Thu Jan 15 05:23:08 2015  relations with 1 large ideals: 152
Thu Jan 15 05:23:08 2015  relations with 2 large ideals: 2028
Thu Jan 15 05:23:08 2015  relations with 3 large ideals: 16483
Thu Jan 15 05:23:08 2015  relations with 4 large ideals: 70918
Thu Jan 15 05:23:08 2015  relations with 5 large ideals: 173315
Thu Jan 15 05:23:08 2015  relations with 6 large ideals: 260151
Thu Jan 15 05:23:08 2015  relations with 7+ large ideals: 361160
Thu Jan 15 05:23:08 2015  commencing 2-way merge
Thu Jan 15 05:23:08 2015  reduce to 546559 relation sets and 518444 unique ideals
Thu Jan 15 05:23:08 2015  commencing full merge
Thu Jan 15 05:23:13 2015  memory use: 68.3 MB
Thu Jan 15 05:23:13 2015  found 278275 cycles, need 274644
Thu Jan 15 05:23:13 2015  weight of 274644 cycles is about 19254728 (70.11/cycle)
Thu Jan 15 05:23:13 2015  distribution of cycle lengths:
Thu Jan 15 05:23:13 2015  1 relations: 25120
Thu Jan 15 05:23:13 2015  2 relations: 26734
Thu Jan 15 05:23:13 2015  3 relations: 28198
Thu Jan 15 05:23:13 2015  4 relations: 28364
Thu Jan 15 05:23:13 2015  5 relations: 27146
Thu Jan 15 05:23:13 2015  6 relations: 25462
Thu Jan 15 05:23:13 2015  7 relations: 22815
Thu Jan 15 05:23:13 2015  8 relations: 19914
Thu Jan 15 05:23:13 2015  9 relations: 16721
Thu Jan 15 05:23:13 2015  10+ relations: 54170
Thu Jan 15 05:23:13 2015  heaviest cycle: 21 relations
Thu Jan 15 05:23:13 2015  commencing cycle optimization
Thu Jan 15 05:23:14 2015  start with 1700996 relations
Thu Jan 15 05:23:15 2015  pruned 49357 relations
Thu Jan 15 05:23:15 2015  memory use: 53.8 MB
Thu Jan 15 05:23:15 2015  distribution of cycle lengths:
Thu Jan 15 05:23:15 2015  1 relations: 25120
Thu Jan 15 05:23:15 2015  2 relations: 27295
Thu Jan 15 05:23:15 2015  3 relations: 29163
Thu Jan 15 05:23:15 2015  4 relations: 29294
Thu Jan 15 05:23:15 2015  5 relations: 28191
Thu Jan 15 05:23:15 2015  6 relations: 26036
Thu Jan 15 05:23:15 2015  7 relations: 23436
Thu Jan 15 05:23:15 2015  8 relations: 20204
Thu Jan 15 05:23:15 2015  9 relations: 16786
Thu Jan 15 05:23:15 2015  10+ relations: 49119
Thu Jan 15 05:23:15 2015  heaviest cycle: 20 relations
Thu Jan 15 05:23:15 2015  RelProcTime: 48
Thu Jan 15 05:23:15 2015  
Thu Jan 15 05:23:15 2015  commencing linear algebra
Thu Jan 15 05:23:15 2015  read 274644 cycles
Thu Jan 15 05:23:16 2015  cycles contain 867794 unique relations
Thu Jan 15 05:23:21 2015  read 867794 relations
Thu Jan 15 05:23:22 2015  using 20 quadratic characters above 67106384
Thu Jan 15 05:23:24 2015  building initial matrix
Thu Jan 15 05:23:29 2015  memory use: 103.7 MB
Thu Jan 15 05:23:29 2015  read 274644 cycles
Thu Jan 15 05:23:29 2015  matrix is 274471 x 274644 (81.6 MB) with weight 24133509 (87.87/col)
Thu Jan 15 05:23:29 2015  sparse part has weight 18376308 (66.91/col)
Thu Jan 15 05:23:30 2015  filtering completed in 2 passes
Thu Jan 15 05:23:30 2015  matrix is 274427 x 274600 (81.6 MB) with weight 24131967 (87.88/col)
Thu Jan 15 05:23:30 2015  sparse part has weight 18375694 (66.92/col)
Thu Jan 15 05:23:30 2015  matrix starts at (0, 0)
Thu Jan 15 05:23:30 2015  matrix is 274427 x 274600 (81.6 MB) with weight 24131967 (87.88/col)
Thu Jan 15 05:23:30 2015  sparse part has weight 18375694 (66.92/col)
Thu Jan 15 05:23:30 2015  saving the first 48 matrix rows for later
Thu Jan 15 05:23:30 2015  matrix includes 64 packed rows
Thu Jan 15 05:23:30 2015  matrix is 274379 x 274600 (76.7 MB) with weight 19080465 (69.48/col)
Thu Jan 15 05:23:30 2015  sparse part has weight 17361386 (63.22/col)
Thu Jan 15 05:23:30 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 05:23:31 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 05:23:31 2015  memory use: 73.8 MB
Thu Jan 15 05:23:35 2015  linear algebra at 4.4%, ETA 0h 1m
Thu Jan 15 05:25:18 2015  lanczos halted after 4342 iterations (dim = 274375)
Thu Jan 15 05:25:19 2015  recovered 37 nontrivial dependencies
Thu Jan 15 05:25:19 2015  BLanczosTime: 124
Thu Jan 15 05:25:19 2015  
Thu Jan 15 05:25:19 2015  commencing square root phase
Thu Jan 15 05:25:19 2015  reading relations for dependency 1
Thu Jan 15 05:25:19 2015  read 137172 cycles
Thu Jan 15 05:25:19 2015  cycles contain 433486 unique relations
Thu Jan 15 05:25:23 2015  read 433486 relations
Thu Jan 15 05:25:23 2015  multiplying 433486 relations
Thu Jan 15 05:25:31 2015  multiply complete, coefficients have about 13.48 million bits
Thu Jan 15 05:25:31 2015  initial square root is modulo 55591681
Thu Jan 15 05:25:40 2015  GCD is N, no factor found
Thu Jan 15 05:25:40 2015  reading relations for dependency 2
Thu Jan 15 05:25:40 2015  read 137010 cycles
Thu Jan 15 05:25:40 2015  cycles contain 433070 unique relations
Thu Jan 15 05:25:44 2015  read 433070 relations
Thu Jan 15 05:25:45 2015  multiplying 433070 relations
Thu Jan 15 05:25:52 2015  multiply complete, coefficients have about 13.47 million bits
Thu Jan 15 05:25:52 2015  initial square root is modulo 54583721
Thu Jan 15 05:26:02 2015  sqrtTime: 43
--
n: 750201294469470243351555780043271152526803947776827141022953868919790310148104625019614041477541493003657088142352699980185523062104068381707
m: 50000000000000000000000000000
deg: 5
c5: 2096
c0: -7
skew: 0.32
# Murphy_E = 1.521e-09
type: snfs
lss: 1
rlim: 1960000
alim: 1960000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:07:55 UTC 2015 年 1 月 9 日 (金) 1 時 7 分 55 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:11 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 11 秒 (日本時間)

655×10148-79

c116

name 名前Cyp
date 日付January 18, 2015 05:25:17 UTC 2015 年 1 月 18 日 (日) 14 時 25 分 17 秒 (日本時間)
composite number 合成数
13753093371524438999028905935915394924234548341538640908529769427608248107588987805414504495186418147124147680182363<116>
prime factors 素因数
7665376632874317781474512171869590312137317<43>
1794183642920019841341204413584137232661665802054341233087626360250031039<73>
factorization results 素因数分解の結果
01/18/15 04:25:14 v1.34.3, 
01/18/15 04:25:14 v1.34.3, ****************************
01/18/15 04:25:14 v1.34.3, Starting factorization of 13753093371524438999028905935915394924234548341538640908529769427608248107588987805414504495186418147124147680182363
01/18/15 04:25:14 v1.34.3, using pretesting plan: none
01/18/15 04:25:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/18/15 04:25:14 v1.34.3, ****************************
01/18/15 04:25:14 v1.34.3, nfs: commencing nfs on c116: 13753093371524438999028905935915394924234548341538640908529769427608248107588987805414504495186418147124147680182363
01/18/15 04:25:14 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/18/15 04:25:14 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 04:26:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
[139 lines snipped]
01/18/15 06:18:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 06:19:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 06:20:15 v1.34.3, nfs: commencing msieve filtering
01/18/15 06:21:54 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 06:24:50 v1.34.3, nfs: commencing msieve sqrt
01/18/15 06:25:16 v1.34.3, prp43 = 7665376632874317781474512171869590312137317
01/18/15 06:25:16 v1.34.3, prp73 = 1794183642920019841341204413584137232661665802054341233087626360250031039
01/18/15 06:25:16 v1.34.3, NFS elapsed time = 7201.7078 seconds.
01/18/15 06:25:16 v1.34.3, 
01/18/15 06:25:16 v1.34.3, 
01/18/15 06:25:16 v1.34.3, Total factoring time = 7201.7084 seconds
--
Sun Jan 18 06:20:15 2015  
Sun Jan 18 06:20:15 2015  commencing relation filtering
Sun Jan 18 06:20:15 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 06:20:15 2015  commencing duplicate removal, pass 1
Sun Jan 18 06:20:42 2015  found 1748621 hash collisions in 10083272 relations
Sun Jan 18 06:20:50 2015  added 347293 free relations
Sun Jan 18 06:20:50 2015  commencing duplicate removal, pass 2
Sun Jan 18 06:20:58 2015  found 1449255 duplicates and 8981310 unique relations
Sun Jan 18 06:20:58 2015  memory use: 45.3 MB
Sun Jan 18 06:20:58 2015  reading ideals above 100000
Sun Jan 18 06:20:58 2015  commencing singleton removal, initial pass
Sun Jan 18 06:21:36 2015  memory use: 188.2 MB
Sun Jan 18 06:21:36 2015  reading all ideals from disk
Sun Jan 18 06:21:36 2015  memory use: 297.8 MB
Sun Jan 18 06:21:37 2015  keeping 8954699 ideals with weight <= 200, target excess is 46903
Sun Jan 18 06:21:37 2015  commencing in-memory singleton removal
Sun Jan 18 06:21:37 2015  begin with 8981310 relations and 8954699 unique ideals
Sun Jan 18 06:21:40 2015  reduce to 4444532 relations and 3295031 ideals in 11 passes
Sun Jan 18 06:21:40 2015  max relations containing the same ideal: 128
Sun Jan 18 06:21:41 2015  removing 1175911 relations and 775911 ideals in 400000 cliques
Sun Jan 18 06:21:41 2015  commencing in-memory singleton removal
Sun Jan 18 06:21:41 2015  begin with 3268621 relations and 3295031 unique ideals
Sun Jan 18 06:21:42 2015  reduce to 3098357 relations and 2331153 ideals in 7 passes
Sun Jan 18 06:21:42 2015  max relations containing the same ideal: 103
Sun Jan 18 06:21:43 2015  removing 1012023 relations and 612023 ideals in 400000 cliques
Sun Jan 18 06:21:43 2015  commencing in-memory singleton removal
Sun Jan 18 06:21:43 2015  begin with 2086334 relations and 2331153 unique ideals
Sun Jan 18 06:21:43 2015  reduce to 1950404 relations and 1567917 ideals in 7 passes
Sun Jan 18 06:21:43 2015  max relations containing the same ideal: 72
Sun Jan 18 06:21:44 2015  removing 799255 relations and 471176 ideals in 328079 cliques
Sun Jan 18 06:21:44 2015  commencing in-memory singleton removal
Sun Jan 18 06:21:44 2015  begin with 1151149 relations and 1567917 unique ideals
Sun Jan 18 06:21:44 2015  reduce to 1027930 relations and 957160 ideals in 8 passes
Sun Jan 18 06:21:44 2015  max relations containing the same ideal: 45
Sun Jan 18 06:21:44 2015  removing 74282 relations and 57920 ideals in 16362 cliques
Sun Jan 18 06:21:44 2015  commencing in-memory singleton removal
Sun Jan 18 06:21:44 2015  begin with 953648 relations and 957160 unique ideals
Sun Jan 18 06:21:44 2015  reduce to 948473 relations and 893957 ideals in 6 passes
Sun Jan 18 06:21:44 2015  max relations containing the same ideal: 44
Sun Jan 18 06:21:45 2015  relations with 0 large ideals: 1082
Sun Jan 18 06:21:45 2015  relations with 1 large ideals: 1080
Sun Jan 18 06:21:45 2015  relations with 2 large ideals: 14022
Sun Jan 18 06:21:45 2015  relations with 3 large ideals: 71735
Sun Jan 18 06:21:45 2015  relations with 4 large ideals: 183842
Sun Jan 18 06:21:45 2015  relations with 5 large ideals: 267850
Sun Jan 18 06:21:45 2015  relations with 6 large ideals: 242509
Sun Jan 18 06:21:45 2015  relations with 7+ large ideals: 166353
Sun Jan 18 06:21:45 2015  commencing 2-way merge
Sun Jan 18 06:21:45 2015  reduce to 668513 relation sets and 613997 unique ideals
Sun Jan 18 06:21:45 2015  commencing full merge
Sun Jan 18 06:21:50 2015  memory use: 73.9 MB
Sun Jan 18 06:21:50 2015  found 333297 cycles, need 326197
Sun Jan 18 06:21:50 2015  weight of 326197 cycles is about 23149325 (70.97/cycle)
Sun Jan 18 06:21:50 2015  distribution of cycle lengths:
Sun Jan 18 06:21:50 2015  1 relations: 17650
Sun Jan 18 06:21:50 2015  2 relations: 30742
Sun Jan 18 06:21:50 2015  3 relations: 37931
Sun Jan 18 06:21:50 2015  4 relations: 38937
Sun Jan 18 06:21:50 2015  5 relations: 36860
Sun Jan 18 06:21:50 2015  6 relations: 32150
Sun Jan 18 06:21:50 2015  7 relations: 27363
Sun Jan 18 06:21:50 2015  8 relations: 23010
Sun Jan 18 06:21:50 2015  9 relations: 18624
Sun Jan 18 06:21:50 2015  10+ relations: 62930
Sun Jan 18 06:21:50 2015  heaviest cycle: 21 relations
Sun Jan 18 06:21:51 2015  commencing cycle optimization
Sun Jan 18 06:21:51 2015  start with 2052299 relations
Sun Jan 18 06:21:53 2015  pruned 80009 relations
Sun Jan 18 06:21:53 2015  memory use: 60.4 MB
Sun Jan 18 06:21:53 2015  distribution of cycle lengths:
Sun Jan 18 06:21:53 2015  1 relations: 17650
Sun Jan 18 06:21:53 2015  2 relations: 31574
Sun Jan 18 06:21:53 2015  3 relations: 39749
Sun Jan 18 06:21:53 2015  4 relations: 40588
Sun Jan 18 06:21:53 2015  5 relations: 38631
Sun Jan 18 06:21:53 2015  6 relations: 33378
Sun Jan 18 06:21:53 2015  7 relations: 28042
Sun Jan 18 06:21:53 2015  8 relations: 23146
Sun Jan 18 06:21:53 2015  9 relations: 18304
Sun Jan 18 06:21:53 2015  10+ relations: 55135
Sun Jan 18 06:21:53 2015  heaviest cycle: 20 relations
Sun Jan 18 06:21:54 2015  RelProcTime: 99
Sun Jan 18 06:21:54 2015  
Sun Jan 18 06:21:54 2015  commencing linear algebra
Sun Jan 18 06:21:54 2015  read 326197 cycles
Sun Jan 18 06:21:54 2015  cycles contain 920561 unique relations
Sun Jan 18 06:22:03 2015  read 920561 relations
Sun Jan 18 06:22:03 2015  using 20 quadratic characters above 134215448
Sun Jan 18 06:22:06 2015  building initial matrix
Sun Jan 18 06:22:11 2015  memory use: 118.9 MB
Sun Jan 18 06:22:11 2015  read 326197 cycles
Sun Jan 18 06:22:11 2015  matrix is 326020 x 326197 (97.2 MB) with weight 29448587 (90.28/col)
Sun Jan 18 06:22:11 2015  sparse part has weight 21881094 (67.08/col)
Sun Jan 18 06:22:13 2015  filtering completed in 2 passes
Sun Jan 18 06:22:13 2015  matrix is 325926 x 326103 (97.1 MB) with weight 29444551 (90.29/col)
Sun Jan 18 06:22:13 2015  sparse part has weight 21879222 (67.09/col)
Sun Jan 18 06:22:13 2015  matrix starts at (0, 0)
Sun Jan 18 06:22:13 2015  matrix is 325926 x 326103 (97.1 MB) with weight 29444551 (90.29/col)
Sun Jan 18 06:22:13 2015  sparse part has weight 21879222 (67.09/col)
Sun Jan 18 06:22:13 2015  saving the first 48 matrix rows for later
Sun Jan 18 06:22:13 2015  matrix includes 64 packed rows
Sun Jan 18 06:22:13 2015  matrix is 325878 x 326103 (92.2 MB) with weight 23232728 (71.24/col)
Sun Jan 18 06:22:13 2015  sparse part has weight 20899773 (64.09/col)
Sun Jan 18 06:22:13 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 06:22:14 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 06:22:14 2015  memory use: 87.9 MB
Sun Jan 18 06:22:20 2015  linear algebra at 3.7%, ETA 0h 2m
Sun Jan 18 06:24:50 2015  lanczos halted after 5156 iterations (dim = 325873)
Sun Jan 18 06:24:50 2015  recovered 35 nontrivial dependencies
Sun Jan 18 06:24:50 2015  BLanczosTime: 176
Sun Jan 18 06:24:50 2015  
Sun Jan 18 06:24:50 2015  commencing square root phase
Sun Jan 18 06:24:50 2015  reading relations for dependency 1
Sun Jan 18 06:24:50 2015  read 163514 cycles
Sun Jan 18 06:24:50 2015  cycles contain 461190 unique relations
Sun Jan 18 06:24:57 2015  read 461190 relations
Sun Jan 18 06:24:58 2015  multiplying 461190 relations
Sun Jan 18 06:25:05 2015  multiply complete, coefficients have about 13.79 million bits
Sun Jan 18 06:25:05 2015  initial square root is modulo 83545571
Sun Jan 18 06:25:16 2015  sqrtTime: 26
--
n: 13753093371524438999028905935915394924234548341538640908529769427608248107588987805414504495186418147124147680182363
m: 500000000000000000000000000000
deg: 5
c5: 1048
c0: -35
skew: 0.51
# Murphy_E = 1.103e-09
type: snfs
lss: 1
rlim: 2300000
alim: 2300000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:08:13 UTC 2015 年 1 月 9 日 (金) 1 時 8 分 13 秒 (日本時間)
403e60--
4511e6970 / 4439Pierre JammesJanuary 14, 2015 07:01:00 UTC 2015 年 1 月 14 日 (水) 16 時 1 分 0 秒 (日本時間)

655×10149-79

c143

name 名前Cyp
date 日付January 14, 2015 20:10:11 UTC 2015 年 1 月 15 日 (木) 5 時 10 分 11 秒 (日本時間)
composite number 合成数
18595839213568366241681644259502322019430848039822255495090148095949012346120328360263951181507894793839211641780517967523140173289379049431899<143>
prime factors 素因数
317138045547893909029860698069743103686206605574288351738680778169<66>
58636418665700703324381649944868731646877444632822306894135240398907068085171<77>
factorization results 素因数分解の結果
01/14/15 18:41:26 v1.34.3, 
01/14/15 18:41:26 v1.34.3, ****************************
01/14/15 18:41:26 v1.34.3, Starting factorization of 18595839213568366241681644259502322019430848039822255495090148095949012346120328360263951181507894793839211641780517967523140173289379049431899
01/14/15 18:41:26 v1.34.3, using pretesting plan: none
01/14/15 18:41:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/14/15 18:41:26 v1.34.3, ****************************
01/14/15 18:41:26 v1.34.3, nfs: commencing nfs on c143: 18595839213568366241681644259502322019430848039822255495090148095949012346120328360263951181507894793839211641780517967523140173289379049431899
01/14/15 18:41:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/14/15 18:41:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 18:45:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[30 lines snipped]
01/14/15 20:56:52 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 21:01:05 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/14/15 21:05:20 v1.34.3, nfs: commencing msieve filtering
01/14/15 21:07:06 v1.34.3, nfs: commencing msieve linear algebra
01/14/15 21:09:45 v1.34.3, nfs: commencing msieve sqrt
01/14/15 21:10:10 v1.34.3, prp77 = 58636418665700703324381649944868731646877444632822306894135240398907068085171
01/14/15 21:10:10 v1.34.3, prp66 = 317138045547893909029860698069743103686206605574288351738680778169
01/14/15 21:10:11 v1.34.3, NFS elapsed time = 8924.0830 seconds.
01/14/15 21:10:11 v1.34.3, 
01/14/15 21:10:11 v1.34.3, 
01/14/15 21:10:11 v1.34.3, Total factoring time = 8924.0837 seconds
--
Wed Jan 14 21:05:20 2015  
Wed Jan 14 21:05:20 2015  commencing relation filtering
Wed Jan 14 21:05:20 2015  estimated available RAM is 15987.3 MB
Wed Jan 14 21:05:20 2015  commencing duplicate removal, pass 1
Wed Jan 14 21:05:49 2015  found 1430806 hash collisions in 10271372 relations
Wed Jan 14 21:05:56 2015  added 351029 free relations
Wed Jan 14 21:05:56 2015  commencing duplicate removal, pass 2
Wed Jan 14 21:06:05 2015  found 979701 duplicates and 9642700 unique relations
Wed Jan 14 21:06:05 2015  memory use: 41.3 MB
Wed Jan 14 21:06:05 2015  reading ideals above 100000
Wed Jan 14 21:06:05 2015  commencing singleton removal, initial pass
Wed Jan 14 21:06:47 2015  memory use: 188.2 MB
Wed Jan 14 21:06:47 2015  reading all ideals from disk
Wed Jan 14 21:06:47 2015  memory use: 328.4 MB
Wed Jan 14 21:06:48 2015  keeping 9221635 ideals with weight <= 200, target excess is 53361
Wed Jan 14 21:06:48 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:49 2015  begin with 9642700 relations and 9221635 unique ideals
Wed Jan 14 21:06:51 2015  reduce to 5107998 relations and 3629370 ideals in 11 passes
Wed Jan 14 21:06:51 2015  max relations containing the same ideal: 135
Wed Jan 14 21:06:52 2015  removing 1149162 relations and 749162 ideals in 400000 cliques
Wed Jan 14 21:06:53 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:53 2015  begin with 3958836 relations and 3629370 unique ideals
Wed Jan 14 21:06:54 2015  reduce to 3817822 relations and 2726902 ideals in 6 passes
Wed Jan 14 21:06:54 2015  max relations containing the same ideal: 108
Wed Jan 14 21:06:55 2015  removing 995675 relations and 595675 ideals in 400000 cliques
Wed Jan 14 21:06:55 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:55 2015  begin with 2822147 relations and 2726902 unique ideals
Wed Jan 14 21:06:56 2015  reduce to 2717113 relations and 2016815 ideals in 6 passes
Wed Jan 14 21:06:56 2015  max relations containing the same ideal: 87
Wed Jan 14 21:06:56 2015  removing 950316 relations and 550316 ideals in 400000 cliques
Wed Jan 14 21:06:56 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:56 2015  begin with 1766797 relations and 2016815 unique ideals
Wed Jan 14 21:06:57 2015  reduce to 1654703 relations and 1342359 ideals in 7 passes
Wed Jan 14 21:06:57 2015  max relations containing the same ideal: 60
Wed Jan 14 21:06:57 2015  removing 603596 relations and 353151 ideals in 250445 cliques
Wed Jan 14 21:06:57 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:57 2015  begin with 1051107 relations and 1342359 unique ideals
Wed Jan 14 21:06:58 2015  reduce to 948120 relations and 874388 ideals in 9 passes
Wed Jan 14 21:06:58 2015  max relations containing the same ideal: 42
Wed Jan 14 21:06:58 2015  removing 57155 relations and 45322 ideals in 11833 cliques
Wed Jan 14 21:06:58 2015  commencing in-memory singleton removal
Wed Jan 14 21:06:58 2015  begin with 890965 relations and 874388 unique ideals
Wed Jan 14 21:06:58 2015  reduce to 887292 relations and 825323 ideals in 5 passes
Wed Jan 14 21:06:58 2015  max relations containing the same ideal: 41
Wed Jan 14 21:06:58 2015  relations with 0 large ideals: 1248
Wed Jan 14 21:06:58 2015  relations with 1 large ideals: 1033
Wed Jan 14 21:06:58 2015  relations with 2 large ideals: 13973
Wed Jan 14 21:06:58 2015  relations with 3 large ideals: 68753
Wed Jan 14 21:06:58 2015  relations with 4 large ideals: 172960
Wed Jan 14 21:06:58 2015  relations with 5 large ideals: 247412
Wed Jan 14 21:06:58 2015  relations with 6 large ideals: 223864
Wed Jan 14 21:06:58 2015  relations with 7+ large ideals: 158049
Wed Jan 14 21:06:58 2015  commencing 2-way merge
Wed Jan 14 21:06:58 2015  reduce to 623640 relation sets and 561671 unique ideals
Wed Jan 14 21:06:58 2015  commencing full merge
Wed Jan 14 21:07:04 2015  memory use: 68.8 MB
Wed Jan 14 21:07:04 2015  found 309916 cycles, need 301871
Wed Jan 14 21:07:04 2015  weight of 301871 cycles is about 21367450 (70.78/cycle)
Wed Jan 14 21:07:04 2015  distribution of cycle lengths:
Wed Jan 14 21:07:04 2015  1 relations: 22369
Wed Jan 14 21:07:04 2015  2 relations: 29894
Wed Jan 14 21:07:04 2015  3 relations: 35832
Wed Jan 14 21:07:04 2015  4 relations: 35164
Wed Jan 14 21:07:04 2015  5 relations: 33243
Wed Jan 14 21:07:04 2015  6 relations: 28363
Wed Jan 14 21:07:04 2015  7 relations: 24302
Wed Jan 14 21:07:04 2015  8 relations: 19950
Wed Jan 14 21:07:04 2015  9 relations: 16179
Wed Jan 14 21:07:04 2015  10+ relations: 56575
Wed Jan 14 21:07:04 2015  heaviest cycle: 20 relations
Wed Jan 14 21:07:04 2015  commencing cycle optimization
Wed Jan 14 21:07:04 2015  start with 1844625 relations
Wed Jan 14 21:07:06 2015  pruned 76635 relations
Wed Jan 14 21:07:06 2015  memory use: 55.1 MB
Wed Jan 14 21:07:06 2015  distribution of cycle lengths:
Wed Jan 14 21:07:06 2015  1 relations: 22369
Wed Jan 14 21:07:06 2015  2 relations: 30695
Wed Jan 14 21:07:06 2015  3 relations: 37605
Wed Jan 14 21:07:06 2015  4 relations: 36771
Wed Jan 14 21:07:06 2015  5 relations: 34980
Wed Jan 14 21:07:06 2015  6 relations: 29387
Wed Jan 14 21:07:06 2015  7 relations: 25026
Wed Jan 14 21:07:06 2015  8 relations: 20074
Wed Jan 14 21:07:06 2015  9 relations: 15885
Wed Jan 14 21:07:06 2015  10+ relations: 49079
Wed Jan 14 21:07:06 2015  heaviest cycle: 20 relations
Wed Jan 14 21:07:06 2015  RelProcTime: 106
Wed Jan 14 21:07:06 2015  
Wed Jan 14 21:07:06 2015  commencing linear algebra
Wed Jan 14 21:07:06 2015  read 301871 cycles
Wed Jan 14 21:07:06 2015  cycles contain 855116 unique relations
Wed Jan 14 21:07:15 2015  read 855116 relations
Wed Jan 14 21:07:15 2015  using 20 quadratic characters above 134214672
Wed Jan 14 21:07:18 2015  building initial matrix
Wed Jan 14 21:07:23 2015  memory use: 104.7 MB
Wed Jan 14 21:07:23 2015  read 301871 cycles
Wed Jan 14 21:07:23 2015  matrix is 301693 x 301871 (89.4 MB) with weight 26479724 (87.72/col)
Wed Jan 14 21:07:23 2015  sparse part has weight 20115665 (66.64/col)
Wed Jan 14 21:07:24 2015  filtering completed in 2 passes
Wed Jan 14 21:07:24 2015  matrix is 301532 x 301710 (89.4 MB) with weight 26471354 (87.74/col)
Wed Jan 14 21:07:24 2015  sparse part has weight 20110727 (66.66/col)
Wed Jan 14 21:07:24 2015  matrix starts at (0, 0)
Wed Jan 14 21:07:24 2015  matrix is 301532 x 301710 (89.4 MB) with weight 26471354 (87.74/col)
Wed Jan 14 21:07:24 2015  sparse part has weight 20110727 (66.66/col)
Wed Jan 14 21:07:24 2015  saving the first 48 matrix rows for later
Wed Jan 14 21:07:24 2015  matrix includes 64 packed rows
Wed Jan 14 21:07:24 2015  matrix is 301484 x 301710 (84.0 MB) with weight 20875269 (69.19/col)
Wed Jan 14 21:07:24 2015  sparse part has weight 19015423 (63.03/col)
Wed Jan 14 21:07:24 2015  using block size 65536 for processor cache size 8192 kB
Wed Jan 14 21:07:25 2015  commencing Lanczos iteration (8 threads)
Wed Jan 14 21:07:25 2015  memory use: 81.0 MB
Wed Jan 14 21:07:31 2015  linear algebra at 4.0%, ETA 0h 2m
Wed Jan 14 21:09:44 2015  lanczos halted after 4769 iterations (dim = 301484)
Wed Jan 14 21:09:45 2015  recovered 38 nontrivial dependencies
Wed Jan 14 21:09:45 2015  BLanczosTime: 159
Wed Jan 14 21:09:45 2015  
Wed Jan 14 21:09:45 2015  commencing square root phase
Wed Jan 14 21:09:45 2015  reading relations for dependency 1
Wed Jan 14 21:09:45 2015  read 150906 cycles
Wed Jan 14 21:09:45 2015  cycles contain 427342 unique relations
Wed Jan 14 21:09:52 2015  read 427342 relations
Wed Jan 14 21:09:53 2015  multiplying 427342 relations
Wed Jan 14 21:10:00 2015  multiply complete, coefficients have about 13.38 million bits
Wed Jan 14 21:10:00 2015  initial square root is modulo 48986981
Wed Jan 14 21:10:10 2015  sqrtTime: 25
--
n: 18595839213568366241681644259502322019430848039822255495090148095949012346120328360263951181507894793839211641780517967523140173289379049431899
m: 500000000000000000000000000000
deg: 5
c5: 2096
c0: -7
skew: 0.32
# Murphy_E = 9.844e-10
type: snfs
lss: 1
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:08:33 UTC 2015 年 1 月 9 日 (金) 1 時 8 分 33 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:11 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 11 秒 (日本時間)

655×10150-79

c125

name 名前Cyp
date 日付January 17, 2015 16:12:37 UTC 2015 年 1 月 18 日 (日) 1 時 12 分 37 秒 (日本時間)
composite number 合成数
32157282448499791909105614800451797402680603613742179507419819493400462978791012971806159309971928362213042641849269958269971<125>
prime factors 素因数
35801333688278545666832634162358531127<38>
40721032501418838065397225827472426829211<41>
22057757280347824699886754830134902904426098143<47>
factorization results 素因数分解の結果
01/17/15 15:20:34 v1.34.3, 
01/17/15 15:20:34 v1.34.3, ****************************
01/17/15 15:20:34 v1.34.3, Starting factorization of 32157282448499791909105614800451797402680603613742179507419819493400462978791012971806159309971928362213042641849269958269971
01/17/15 15:20:34 v1.34.3, using pretesting plan: none
01/17/15 15:20:34 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 15:20:34 v1.34.3, ****************************
01/17/15 15:20:34 v1.34.3, nfs: commencing nfs on c125: 32157282448499791909105614800451797402680603613742179507419819493400462978791012971806159309971928362213042641849269958269971
01/17/15 15:20:34 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 15:20:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 15:21:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
[106 lines snipped]
01/17/15 17:02:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 17:03:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 17:04:28 v1.34.3, nfs: commencing msieve filtering
01/17/15 17:06:08 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 17:09:37 v1.34.3, nfs: commencing msieve sqrt
01/17/15 17:10:35 v1.34.3, prp41 = 40721032501418838065397225827472426829211
01/17/15 17:10:35 v1.34.3, C84 = 789697128808787929496061041284416825849906425297276505447422448856586023421422397161
01/17/15 17:10:35 v1.34.3, NFS elapsed time = 6601.6614 seconds.
01/17/15 17:10:35 v1.34.3, 
01/17/15 17:10:35 v1.34.3, 
01/17/15 17:10:35 v1.34.3, 
01/17/15 17:10:35 v1.34.3, ****************************
01/17/15 17:10:35 v1.34.3, Starting factorization of 789697128808787929496061041284416825849906425297276505447422448856586023421422397161
01/17/15 17:10:35 v1.34.3, using pretesting plan: normal
01/17/15 17:10:35 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 17:10:35 v1.34.3, ****************************
01/17/15 17:10:35 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C84
01/17/15 17:10:35 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C84
01/17/15 17:10:35 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C84
01/17/15 17:10:35 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C84
01/17/15 17:10:35 v1.34.3, current ECM pretesting depth: 0.00
01/17/15 17:10:35 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 25.85
01/17/15 17:10:36 v1.34.3, Finished 30 curves using Lenstra ECM method on C84 input, B1=2K, B2=gmp-ecm default
01/17/15 17:10:36 v1.34.3, current ECM pretesting depth: 15.18
01/17/15 17:10:36 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 25.85
01/17/15 17:10:37 v1.34.3, Finished 74 curves using Lenstra ECM method on C84 input, B1=11K, B2=gmp-ecm default
01/17/15 17:10:37 v1.34.3, current ECM pretesting depth: 20.24
01/17/15 17:10:37 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 25.85
01/17/15 17:11:01 v1.34.3, Finished 214 curves using Lenstra ECM method on C84 input, B1=50K, B2=gmp-ecm default
01/17/15 17:11:01 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C84
01/17/15 17:11:02 v1.34.3, current ECM pretesting depth: 25.33
01/17/15 17:11:02 v1.34.3, scheduled 45 curves at B1=250000 toward target pretesting depth of 25.85
01/17/15 17:11:21 v1.34.3, Finished 45 curves using Lenstra ECM method on C84 input, B1=250K, B2=gmp-ecm default
01/17/15 17:11:21 v1.34.3, final ECM pretested depth: 25.86
01/17/15 17:11:21 v1.34.3, scheduler: switching to sieve method
01/17/15 17:11:21 v1.34.3, starting SIQS on c84: 789697128808787929496061041284416825849906425297276505447422448856586023421422397161
01/17/15 17:11:21 v1.34.3, random seeds: 1131076428, 896594589
01/17/15 17:11:21 v1.34.3, ==== sieve params ====
01/17/15 17:11:21 v1.34.3, n = 84 digits, 279 bits
01/17/15 17:11:21 v1.34.3, factor base: 58976 primes (max prime = 1545139)
01/17/15 17:11:21 v1.34.3, single large prime cutoff: 146788205 (95 * pmax)
01/17/15 17:11:21 v1.34.3, double large prime range from 42 to 49 bits
01/17/15 17:11:21 v1.34.3, double large prime cutoff: 501238114380651
01/17/15 17:11:21 v1.34.3, allocating 7 large prime slices of factor base
01/17/15 17:11:21 v1.34.3, buckets hold 2048 elements
01/17/15 17:11:21 v1.34.3, using 32k sieve core
01/17/15 17:11:21 v1.34.3, sieve interval: 12 blocks of size 32768
01/17/15 17:11:21 v1.34.3, polynomial A has ~ 11 factors
01/17/15 17:11:21 v1.34.3, using multiplier of 1
01/17/15 17:11:21 v1.34.3, using SPV correction of 20 bits, starting at offset 26
01/17/15 17:11:21 v1.34.3, using SSE2 for trial division and x128 sieve scanning
01/17/15 17:11:21 v1.34.3, using SSE4.1 enabled 32k sieve core
01/17/15 17:11:21 v1.34.3, using SSE2 for resieving 13-16 bit primes
01/17/15 17:11:21 v1.34.3, trial factoring cutoff at 98 bits
01/17/15 17:11:21 v1.34.3, ==== sieving started ( 8 threads) ====
01/17/15 17:12:31 v1.34.3, 60620 relations found: 24534 full + 36086 from 446228 partial, using 175591 polys (536 A polys)
01/17/15 17:12:31 v1.34.3, on average, sieving found 2.68 rels/poly and 6729.99 rels/sec
01/17/15 17:12:31 v1.34.3, trial division touched 5232406 sieve locations out of 0
01/17/15 17:12:31 v1.34.3, ==== post processing stage (msieve-1.38) ====
01/17/15 17:12:31 v1.34.3, begin with 470762 relations
01/17/15 17:12:31 v1.34.3, reduce to 107362 relations in 8 passes
01/17/15 17:12:31 v1.34.3, failed to read relation 34545
01/17/15 17:12:32 v1.34.3, recovered 107361 relations
01/17/15 17:12:32 v1.34.3, recovered 80444 polynomials
01/17/15 17:12:32 v1.34.3, freed 19 duplicate relations
01/17/15 17:12:32 v1.34.3, attempting to build 60600 cycles
01/17/15 17:12:32 v1.34.3, found 60600 cycles in 3 passes
01/17/15 17:12:32 v1.34.3, distribution of cycle lengths:
01/17/15 17:12:32 v1.34.3,    length 1 : 24534
01/17/15 17:12:32 v1.34.3,    length 2 : 21072
01/17/15 17:12:32 v1.34.3,    length 3 : 9342
01/17/15 17:12:32 v1.34.3,    length 4 : 3635
01/17/15 17:12:32 v1.34.3,    length 5 : 1349
01/17/15 17:12:32 v1.34.3,    length 6 : 443
01/17/15 17:12:32 v1.34.3,    length 7 : 170
01/17/15 17:12:32 v1.34.3,    length 9+: 55
01/17/15 17:12:32 v1.34.3, largest cycle: 10 relations
01/17/15 17:12:32 v1.34.3, matrix is 58976 x 60600 (10.7 MB) with weight 2324897 (38.36/col)
01/17/15 17:12:32 v1.34.3, sparse part has weight 2324897 (38.36/col)
01/17/15 17:12:32 v1.34.3, filtering completed in 4 passes
01/17/15 17:12:32 v1.34.3, matrix is 46678 x 46742 (8.5 MB) with weight 1845610 (39.49/col)
01/17/15 17:12:32 v1.34.3, sparse part has weight 1845610 (39.49/col)
01/17/15 17:12:32 v1.34.3, saving the first 48 matrix rows for later
01/17/15 17:12:32 v1.34.3, matrix is 46630 x 46742 (7.2 MB) with weight 1551791 (33.20/col)
01/17/15 17:12:32 v1.34.3, sparse part has weight 1423826 (30.46/col)
01/17/15 17:12:32 v1.34.3, matrix includes 64 packed rows
01/17/15 17:12:32 v1.34.3, using block size 18696 for processor cache size 8192 kB
01/17/15 17:12:32 v1.34.3, commencing Lanczos iteration
01/17/15 17:12:32 v1.34.3, memory use: 6.3 MB
01/17/15 17:12:35 v1.34.3, lanczos halted after 739 iterations (dim = 46628)
01/17/15 17:12:35 v1.34.3, recovered 16 nontrivial dependencies
01/17/15 17:12:35 v1.34.3, prp38 = 35801333688278545666832634162358531127
01/17/15 17:12:35 v1.34.3, prp47 = 22057757280347824699886754830134902904426098143
01/17/15 17:12:35 v1.34.3, Lanczos elapsed time = 4.0848 seconds.
01/17/15 17:12:35 v1.34.3, Sqrt elapsed time = 0.0328 seconds.
01/17/15 17:12:35 v1.34.3, SIQS elapsed time = 74.0688 seconds.
01/17/15 17:12:35 v1.34.3, 
01/17/15 17:12:35 v1.34.3, 
01/17/15 17:12:35 v1.34.3, Total factoring time = 120.0598 seconds
01/17/15 17:12:35 v1.34.3, Total factoring time = 6721.7391 seconds
--
Sat Jan 17 17:04:28 2015  
Sat Jan 17 17:04:28 2015  commencing relation filtering
Sat Jan 17 17:04:28 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 17:04:28 2015  commencing duplicate removal, pass 1
Sat Jan 17 17:04:54 2015  found 1562462 hash collisions in 10098654 relations
Sat Jan 17 17:05:02 2015  added 357110 free relations
Sat Jan 17 17:05:02 2015  commencing duplicate removal, pass 2
Sat Jan 17 17:05:10 2015  found 1191882 duplicates and 9263882 unique relations
Sat Jan 17 17:05:10 2015  memory use: 41.3 MB
Sat Jan 17 17:05:10 2015  reading ideals above 100000
Sat Jan 17 17:05:10 2015  commencing singleton removal, initial pass
Sat Jan 17 17:05:49 2015  memory use: 188.2 MB
Sat Jan 17 17:05:49 2015  reading all ideals from disk
Sat Jan 17 17:05:49 2015  memory use: 309.4 MB
Sat Jan 17 17:05:50 2015  keeping 9539678 ideals with weight <= 200, target excess is 46690
Sat Jan 17 17:05:50 2015  commencing in-memory singleton removal
Sat Jan 17 17:05:50 2015  begin with 9263882 relations and 9539678 unique ideals
Sat Jan 17 17:05:53 2015  reduce to 4344934 relations and 3467612 ideals in 13 passes
Sat Jan 17 17:05:53 2015  max relations containing the same ideal: 122
Sat Jan 17 17:05:54 2015  removing 1302582 relations and 902582 ideals in 400000 cliques
Sat Jan 17 17:05:55 2015  commencing in-memory singleton removal
Sat Jan 17 17:05:55 2015  begin with 3042352 relations and 3467612 unique ideals
Sat Jan 17 17:05:55 2015  reduce to 2793138 relations and 2287640 ideals in 8 passes
Sat Jan 17 17:05:55 2015  max relations containing the same ideal: 89
Sat Jan 17 17:05:56 2015  removing 1095601 relations and 695601 ideals in 400000 cliques
Sat Jan 17 17:05:56 2015  commencing in-memory singleton removal
Sat Jan 17 17:05:56 2015  begin with 1697537 relations and 2287640 unique ideals
Sat Jan 17 17:05:57 2015  reduce to 1477480 relations and 1340657 ideals in 9 passes
Sat Jan 17 17:05:57 2015  max relations containing the same ideal: 59
Sat Jan 17 17:05:57 2015  removing 296091 relations and 213429 ideals in 82662 cliques
Sat Jan 17 17:05:57 2015  commencing in-memory singleton removal
Sat Jan 17 17:05:57 2015  begin with 1181389 relations and 1340657 unique ideals
Sat Jan 17 17:05:57 2015  reduce to 1134500 relations and 1077551 ideals in 7 passes
Sat Jan 17 17:05:57 2015  max relations containing the same ideal: 51
Sat Jan 17 17:05:58 2015  relations with 0 large ideals: 1049
Sat Jan 17 17:05:58 2015  relations with 1 large ideals: 834
Sat Jan 17 17:05:58 2015  relations with 2 large ideals: 12293
Sat Jan 17 17:05:58 2015  relations with 3 large ideals: 70085
Sat Jan 17 17:05:58 2015  relations with 4 large ideals: 201398
Sat Jan 17 17:05:58 2015  relations with 5 large ideals: 321841
Sat Jan 17 17:05:58 2015  relations with 6 large ideals: 308105
Sat Jan 17 17:05:58 2015  relations with 7+ large ideals: 218895
Sat Jan 17 17:05:58 2015  commencing 2-way merge
Sat Jan 17 17:05:58 2015  reduce to 713487 relation sets and 656538 unique ideals
Sat Jan 17 17:05:58 2015  commencing full merge
Sat Jan 17 17:06:05 2015  memory use: 84.5 MB
Sat Jan 17 17:06:05 2015  found 366353 cycles, need 356738
Sat Jan 17 17:06:05 2015  weight of 356738 cycles is about 25118085 (70.41/cycle)
Sat Jan 17 17:06:05 2015  distribution of cycle lengths:
Sat Jan 17 17:06:05 2015  1 relations: 23475
Sat Jan 17 17:06:05 2015  2 relations: 32617
Sat Jan 17 17:06:05 2015  3 relations: 37365
Sat Jan 17 17:06:05 2015  4 relations: 37580
Sat Jan 17 17:06:05 2015  5 relations: 37352
Sat Jan 17 17:06:05 2015  6 relations: 35070
Sat Jan 17 17:06:05 2015  7 relations: 31893
Sat Jan 17 17:06:05 2015  8 relations: 27076
Sat Jan 17 17:06:05 2015  9 relations: 23068
Sat Jan 17 17:06:05 2015  10+ relations: 71242
Sat Jan 17 17:06:05 2015  heaviest cycle: 20 relations
Sat Jan 17 17:06:05 2015  commencing cycle optimization
Sat Jan 17 17:06:05 2015  start with 2260536 relations
Sat Jan 17 17:06:07 2015  pruned 72394 relations
Sat Jan 17 17:06:07 2015  memory use: 69.4 MB
Sat Jan 17 17:06:07 2015  distribution of cycle lengths:
Sat Jan 17 17:06:07 2015  1 relations: 23475
Sat Jan 17 17:06:07 2015  2 relations: 33315
Sat Jan 17 17:06:07 2015  3 relations: 38831
Sat Jan 17 17:06:07 2015  4 relations: 38896
Sat Jan 17 17:06:07 2015  5 relations: 38941
Sat Jan 17 17:06:07 2015  6 relations: 36244
Sat Jan 17 17:06:07 2015  7 relations: 32956
Sat Jan 17 17:06:07 2015  8 relations: 27472
Sat Jan 17 17:06:07 2015  9 relations: 23313
Sat Jan 17 17:06:07 2015  10+ relations: 63295
Sat Jan 17 17:06:07 2015  heaviest cycle: 20 relations
Sat Jan 17 17:06:08 2015  RelProcTime: 100
Sat Jan 17 17:06:08 2015  
Sat Jan 17 17:06:08 2015  commencing linear algebra
Sat Jan 17 17:06:08 2015  read 356738 cycles
Sat Jan 17 17:06:08 2015  cycles contain 1089011 unique relations
Sat Jan 17 17:06:16 2015  read 1089011 relations
Sat Jan 17 17:06:17 2015  using 20 quadratic characters above 134206608
Sat Jan 17 17:06:20 2015  building initial matrix
Sat Jan 17 17:06:26 2015  memory use: 136.1 MB
Sat Jan 17 17:06:26 2015  read 356738 cycles
Sat Jan 17 17:06:26 2015  matrix is 356561 x 356738 (106.2 MB) with weight 32323648 (90.61/col)
Sat Jan 17 17:06:26 2015  sparse part has weight 23924887 (67.07/col)
Sat Jan 17 17:06:28 2015  filtering completed in 2 passes
Sat Jan 17 17:06:28 2015  matrix is 356432 x 356608 (106.2 MB) with weight 32318433 (90.63/col)
Sat Jan 17 17:06:28 2015  sparse part has weight 23922705 (67.08/col)
Sat Jan 17 17:06:28 2015  matrix starts at (0, 0)
Sat Jan 17 17:06:28 2015  matrix is 356432 x 356608 (106.2 MB) with weight 32318433 (90.63/col)
Sat Jan 17 17:06:28 2015  sparse part has weight 23922705 (67.08/col)
Sat Jan 17 17:06:28 2015  saving the first 48 matrix rows for later
Sat Jan 17 17:06:28 2015  matrix includes 64 packed rows
Sat Jan 17 17:06:28 2015  matrix is 356384 x 356608 (100.8 MB) with weight 25446628 (71.36/col)
Sat Jan 17 17:06:28 2015  sparse part has weight 22847409 (64.07/col)
Sat Jan 17 17:06:28 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 17:06:29 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 17:06:29 2015  memory use: 96.6 MB
Sat Jan 17 17:06:35 2015  linear algebra at 3.4%, ETA 0h 2m
Sat Jan 17 17:09:37 2015  lanczos halted after 5638 iterations (dim = 356384)
Sat Jan 17 17:09:37 2015  recovered 39 nontrivial dependencies
Sat Jan 17 17:09:37 2015  BLanczosTime: 209
Sat Jan 17 17:09:37 2015  
Sat Jan 17 17:09:37 2015  commencing square root phase
Sat Jan 17 17:09:37 2015  reading relations for dependency 1
Sat Jan 17 17:09:37 2015  read 178079 cycles
Sat Jan 17 17:09:37 2015  cycles contain 544316 unique relations
Sat Jan 17 17:09:44 2015  read 544316 relations
Sat Jan 17 17:09:45 2015  multiplying 544316 relations
Sat Jan 17 17:09:56 2015  multiply complete, coefficients have about 15.81 million bits
Sat Jan 17 17:09:56 2015  initial square root is modulo 1219655551
Sat Jan 17 17:10:07 2015  GCD is 1, no factor found
Sat Jan 17 17:10:07 2015  reading relations for dependency 2
Sat Jan 17 17:10:07 2015  read 178449 cycles
Sat Jan 17 17:10:07 2015  cycles contain 544814 unique relations
Sat Jan 17 17:10:14 2015  read 544814 relations
Sat Jan 17 17:10:15 2015  multiplying 544814 relations
Sat Jan 17 17:10:24 2015  multiply complete, coefficients have about 15.83 million bits
Sat Jan 17 17:10:24 2015  initial square root is modulo 1246379971
Sat Jan 17 17:10:35 2015  sqrtTime: 58
--
n: 32157282448499791909105614800451797402680603613742179507419819493400462978791012971806159309971928362213042641849269958269971
m: 1000000000000000000000000000000
deg: 5
c5: 655
c0: -7
skew: 0.40
# Murphy_E = 1.094e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
786KTakahashiJanuary 8, 2015 16:08:49 UTC 2015 年 1 月 9 日 (金) 1 時 8 分 49 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:01:12 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 12 秒 (日本時間)

655×10151-79

c134

name 名前Serge Batalov
date 日付January 9, 2015 03:46:54 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 54 秒 (日本時間)
composite number 合成数
54419432169206815753715981179904908804583414040824498409166483411256840860525829908883975135946916475305895901012593063633782620213887<134>
prime factors 素因数
53321658600758702747498936049749<32>
1020587761094747585651988860553867646607120663781061611612610202140039821297426277318491755632892095363<103>
factorization results 素因数分解の結果
Input number is 54419432169206815753715981179904908804583414040824498409166483411256840860525829908883975135946916475305895901012593063633782620213887 (134 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3493912469
Step 1 took 7637ms
Step 2 took 6865ms
********** Factor found in step 2: 53321658600758702747498936049749
Found probable prime factor of 32 digits: 53321658600758702747498936049749
Probable prime cofactor 1020587761094747585651988860553867646607120663781061611612610202140039821297426277318491755632892095363 has 103 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:12 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 12 秒 (日本時間)

655×10153-79

c128

name 名前Cyp
date 日付January 17, 2015 09:33:53 UTC 2015 年 1 月 17 日 (土) 18 時 33 分 53 秒 (日本時間)
composite number 合成数
89232063916405657375749748572410485568438906225617777597458945038924191817412713754508535172587788834028585501556178569505849469<128>
prime factors 素因数
5893952143004163638836057189064027758216869621760199077229<58>
15139597633536913765721506769078210626718452207431696324430440770356561<71>
factorization results 素因数分解の結果
01/17/15 08:00:19 v1.34.3, 
01/17/15 08:00:19 v1.34.3, ****************************
01/17/15 08:00:19 v1.34.3, Starting factorization of 89232063916405657375749748572410485568438906225617777597458945038924191817412713754508535172587788834028585501556178569505849469
01/17/15 08:00:19 v1.34.3, using pretesting plan: none
01/17/15 08:00:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 08:00:19 v1.34.3, ****************************
01/17/15 08:00:19 v1.34.3, nfs: commencing nfs on c128: 89232063916405657375749748572410485568438906225617777597458945038924191817412713754508535172587788834028585501556178569505849469
01/17/15 08:00:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 08:00:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 08:01:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
[144 lines snipped]
01/17/15 10:23:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 10:24:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 10:25:11 v1.34.3, nfs: commencing msieve filtering
01/17/15 10:26:57 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 10:32:30 v1.34.3, nfs: commencing msieve sqrt
01/17/15 10:33:53 v1.34.3, prp71 = 15139597633536913765721506769078210626718452207431696324430440770356561
01/17/15 10:33:53 v1.34.3, prp58 = 5893952143004163638836057189064027758216869621760199077229
01/17/15 10:33:53 v1.34.3, NFS elapsed time = 9214.0223 seconds.
01/17/15 10:33:53 v1.34.3, 
01/17/15 10:33:53 v1.34.3, 
01/17/15 10:33:53 v1.34.3, Total factoring time = 9214.0229 seconds
--
Sat Jan 17 10:25:11 2015  
Sat Jan 17 10:25:11 2015  commencing relation filtering
Sat Jan 17 10:25:11 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 10:25:11 2015  commencing duplicate removal, pass 1
Sat Jan 17 10:25:39 2015  found 1674074 hash collisions in 10069197 relations
Sat Jan 17 10:25:47 2015  added 357002 free relations
Sat Jan 17 10:25:47 2015  commencing duplicate removal, pass 2
Sat Jan 17 10:25:55 2015  found 1353468 duplicates and 9072731 unique relations
Sat Jan 17 10:25:55 2015  memory use: 41.3 MB
Sat Jan 17 10:25:55 2015  reading ideals above 100000
Sat Jan 17 10:25:55 2015  commencing singleton removal, initial pass
Sat Jan 17 10:26:37 2015  memory use: 188.2 MB
Sat Jan 17 10:26:37 2015  reading all ideals from disk
Sat Jan 17 10:26:37 2015  memory use: 307.0 MB
Sat Jan 17 10:26:37 2015  keeping 9532976 ideals with weight <= 200, target excess is 46081
Sat Jan 17 10:26:38 2015  commencing in-memory singleton removal
Sat Jan 17 10:26:38 2015  begin with 9072731 relations and 9532976 unique ideals
Sat Jan 17 10:26:40 2015  reduce to 4124064 relations and 3410003 ideals in 12 passes
Sat Jan 17 10:26:40 2015  max relations containing the same ideal: 125
Sat Jan 17 10:26:41 2015  removing 1162234 relations and 831930 ideals in 330304 cliques
Sat Jan 17 10:26:42 2015  commencing in-memory singleton removal
Sat Jan 17 10:26:42 2015  begin with 2961830 relations and 3410003 unique ideals
Sat Jan 17 10:26:42 2015  reduce to 2734690 relations and 2328220 ideals in 8 passes
Sat Jan 17 10:26:42 2015  max relations containing the same ideal: 91
Sat Jan 17 10:26:43 2015  removing 968694 relations and 638390 ideals in 330304 cliques
Sat Jan 17 10:26:43 2015  commencing in-memory singleton removal
Sat Jan 17 10:26:43 2015  begin with 1765996 relations and 2328220 unique ideals
Sat Jan 17 10:26:44 2015  reduce to 1567845 relations and 1466902 ideals in 13 passes
Sat Jan 17 10:26:44 2015  max relations containing the same ideal: 61
Sat Jan 17 10:26:44 2015  removing 204381 relations and 156892 ideals in 47489 cliques
Sat Jan 17 10:26:45 2015  commencing in-memory singleton removal
Sat Jan 17 10:26:45 2015  begin with 1363464 relations and 1466902 unique ideals
Sat Jan 17 10:26:45 2015  reduce to 1344134 relations and 1290080 ideals in 7 passes
Sat Jan 17 10:26:45 2015  max relations containing the same ideal: 53
Sat Jan 17 10:26:45 2015  relations with 0 large ideals: 1067
Sat Jan 17 10:26:45 2015  relations with 1 large ideals: 689
Sat Jan 17 10:26:45 2015  relations with 2 large ideals: 10168
Sat Jan 17 10:26:45 2015  relations with 3 large ideals: 64339
Sat Jan 17 10:26:45 2015  relations with 4 large ideals: 202810
Sat Jan 17 10:26:45 2015  relations with 5 large ideals: 359264
Sat Jan 17 10:26:45 2015  relations with 6 large ideals: 383766
Sat Jan 17 10:26:45 2015  relations with 7+ large ideals: 322031
Sat Jan 17 10:26:45 2015  commencing 2-way merge
Sat Jan 17 10:26:46 2015  reduce to 846381 relation sets and 792327 unique ideals
Sat Jan 17 10:26:46 2015  commencing full merge
Sat Jan 17 10:26:53 2015  memory use: 101.6 MB
Sat Jan 17 10:26:54 2015  found 438074 cycles, need 430527
Sat Jan 17 10:26:54 2015  weight of 430527 cycles is about 30479221 (70.80/cycle)
Sat Jan 17 10:26:54 2015  distribution of cycle lengths:
Sat Jan 17 10:26:54 2015  1 relations: 30049
Sat Jan 17 10:26:54 2015  2 relations: 40697
Sat Jan 17 10:26:54 2015  3 relations: 46266
Sat Jan 17 10:26:54 2015  4 relations: 45805
Sat Jan 17 10:26:54 2015  5 relations: 44703
Sat Jan 17 10:26:54 2015  6 relations: 41529
Sat Jan 17 10:26:54 2015  7 relations: 37562
Sat Jan 17 10:26:54 2015  8 relations: 32255
Sat Jan 17 10:26:54 2015  9 relations: 27318
Sat Jan 17 10:26:54 2015  10+ relations: 84343
Sat Jan 17 10:26:54 2015  heaviest cycle: 20 relations
Sat Jan 17 10:26:54 2015  commencing cycle optimization
Sat Jan 17 10:26:54 2015  start with 2700734 relations
Sat Jan 17 10:26:56 2015  pruned 82147 relations
Sat Jan 17 10:26:56 2015  memory use: 83.2 MB
Sat Jan 17 10:26:56 2015  distribution of cycle lengths:
Sat Jan 17 10:26:56 2015  1 relations: 30049
Sat Jan 17 10:26:56 2015  2 relations: 41576
Sat Jan 17 10:26:56 2015  3 relations: 47852
Sat Jan 17 10:26:56 2015  4 relations: 47320
Sat Jan 17 10:26:56 2015  5 relations: 46417
Sat Jan 17 10:26:56 2015  6 relations: 43025
Sat Jan 17 10:26:56 2015  7 relations: 38528
Sat Jan 17 10:26:56 2015  8 relations: 32720
Sat Jan 17 10:26:56 2015  9 relations: 27390
Sat Jan 17 10:26:56 2015  10+ relations: 75650
Sat Jan 17 10:26:56 2015  heaviest cycle: 20 relations
Sat Jan 17 10:26:57 2015  RelProcTime: 106
Sat Jan 17 10:26:57 2015  
Sat Jan 17 10:26:57 2015  commencing linear algebra
Sat Jan 17 10:26:57 2015  read 430527 cycles
Sat Jan 17 10:26:57 2015  cycles contain 1309954 unique relations
Sat Jan 17 10:27:06 2015  read 1309954 relations
Sat Jan 17 10:27:07 2015  using 20 quadratic characters above 134210408
Sat Jan 17 10:27:11 2015  building initial matrix
Sat Jan 17 10:27:18 2015  memory use: 164.4 MB
Sat Jan 17 10:27:18 2015  read 430527 cycles
Sat Jan 17 10:27:18 2015  matrix is 430350 x 430527 (129.1 MB) with weight 39147035 (90.93/col)
Sat Jan 17 10:27:18 2015  sparse part has weight 29100495 (67.59/col)
Sat Jan 17 10:27:20 2015  filtering completed in 2 passes
Sat Jan 17 10:27:20 2015  matrix is 430283 x 430460 (129.1 MB) with weight 39144282 (90.94/col)
Sat Jan 17 10:27:20 2015  sparse part has weight 29099296 (67.60/col)
Sat Jan 17 10:27:21 2015  matrix starts at (0, 0)
Sat Jan 17 10:27:21 2015  matrix is 430283 x 430460 (129.1 MB) with weight 39144282 (90.94/col)
Sat Jan 17 10:27:21 2015  sparse part has weight 29099296 (67.60/col)
Sat Jan 17 10:27:21 2015  saving the first 48 matrix rows for later
Sat Jan 17 10:27:21 2015  matrix includes 64 packed rows
Sat Jan 17 10:27:21 2015  matrix is 430235 x 430460 (122.5 MB) with weight 30869403 (71.71/col)
Sat Jan 17 10:27:21 2015  sparse part has weight 27818735 (64.63/col)
Sat Jan 17 10:27:21 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 10:27:22 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 10:27:22 2015  memory use: 117.5 MB
Sat Jan 17 10:27:30 2015  linear algebra at 2.8%, ETA 0h 4m
Sat Jan 17 10:32:30 2015  lanczos halted after 6806 iterations (dim = 430233)
Sat Jan 17 10:32:30 2015  recovered 37 nontrivial dependencies
Sat Jan 17 10:32:30 2015  BLanczosTime: 333
Sat Jan 17 10:32:30 2015  
Sat Jan 17 10:32:30 2015  commencing square root phase
Sat Jan 17 10:32:30 2015  reading relations for dependency 1
Sat Jan 17 10:32:30 2015  read 215113 cycles
Sat Jan 17 10:32:31 2015  cycles contain 655148 unique relations
Sat Jan 17 10:32:39 2015  read 655148 relations
Sat Jan 17 10:32:40 2015  multiplying 655148 relations
Sat Jan 17 10:32:53 2015  multiply complete, coefficients have about 19.70 million bits
Sat Jan 17 10:32:53 2015  initial square root is modulo 454921
Sat Jan 17 10:33:12 2015  GCD is 1, no factor found
Sat Jan 17 10:33:12 2015  reading relations for dependency 2
Sat Jan 17 10:33:12 2015  read 215353 cycles
Sat Jan 17 10:33:12 2015  cycles contain 656132 unique relations
Sat Jan 17 10:33:21 2015  read 656132 relations
Sat Jan 17 10:33:22 2015  multiplying 656132 relations
Sat Jan 17 10:33:35 2015  multiply complete, coefficients have about 19.73 million bits
Sat Jan 17 10:33:35 2015  initial square root is modulo 463261
Sat Jan 17 10:33:53 2015  sqrtTime: 83
--
n: 89232063916405657375749748572410485568438906225617777597458945038924191817412713754508535172587788834028585501556178569505849469
m: 5000000000000000000000000000000
deg: 5
c5: 1048
c0: -35
skew: 0.51
# Murphy_E = 7.108e-10
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:13 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 13 秒 (日本時間)

655×10154-79

c140

name 名前Cyp
date 日付January 15, 2015 10:27:23 UTC 2015 年 1 月 15 日 (木) 19 時 27 分 23 秒 (日本時間)
composite number 合成数
60273148918189389131037408152720488672105400747039273280037959130044015327503706882827159980327083529327318099587529748156443414839486594221<140>
prime factors 素因数
1063602285609090865221615197730166493785513127<46>
26967752835081148529276830677229006780003913429<47>
2101357093263297147405714463428665118458010475487<49>
factorization results 素因数分解の結果
01/15/15 08:31:54 v1.34.3, 
01/15/15 08:31:54 v1.34.3, ****************************
01/15/15 08:31:54 v1.34.3, Starting factorization of 60273148918189389131037408152720488672105400747039273280037959130044015327503706882827159980327083529327318099587529748156443414839486594221
01/15/15 08:31:54 v1.34.3, using pretesting plan: none
01/15/15 08:31:54 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 08:31:54 v1.34.3, ****************************
01/15/15 08:31:54 v1.34.3, nfs: commencing nfs on c140: 60273148918189389131037408152720488672105400747039273280037959130044015327503706882827159980327083529327318099587529748156443414839486594221
01/15/15 08:31:54 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 08:31:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 08:35:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[45 lines snipped]
01/15/15 11:13:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 11:16:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 11:19:54 v1.34.3, nfs: commencing msieve filtering
01/15/15 11:21:41 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 11:26:08 v1.34.3, nfs: commencing msieve sqrt
01/15/15 11:27:23 v1.34.3, prp47 = 26967752835081148529276830677229006780003913429
01/15/15 11:27:23 v1.34.3, prp46 = 1063602285609090865221615197730166493785513127
01/15/15 11:27:23 v1.34.3, prp49 = 2101357093263297147405714463428665118458010475487
01/15/15 11:27:23 v1.34.3, NFS elapsed time = 10528.1748 seconds.
01/15/15 11:27:23 v1.34.3, 
01/15/15 11:27:23 v1.34.3, 
01/15/15 11:27:23 v1.34.3, Total factoring time = 10528.1753 seconds
--
Thu Jan 15 11:19:54 2015  
Thu Jan 15 11:19:54 2015  commencing relation filtering
Thu Jan 15 11:19:54 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 11:19:54 2015  commencing duplicate removal, pass 1
Thu Jan 15 11:20:21 2015  found 1346836 hash collisions in 10071410 relations
Thu Jan 15 11:20:30 2015  added 359141 free relations
Thu Jan 15 11:20:30 2015  commencing duplicate removal, pass 2
Thu Jan 15 11:20:39 2015  found 899730 duplicates and 9530821 unique relations
Thu Jan 15 11:20:39 2015  memory use: 41.3 MB
Thu Jan 15 11:20:39 2015  reading ideals above 100000
Thu Jan 15 11:20:39 2015  commencing singleton removal, initial pass
Thu Jan 15 11:21:20 2015  memory use: 188.2 MB
Thu Jan 15 11:21:20 2015  reading all ideals from disk
Thu Jan 15 11:21:20 2015  memory use: 331.7 MB
Thu Jan 15 11:21:20 2015  keeping 9732583 ideals with weight <= 200, target excess is 51547
Thu Jan 15 11:21:21 2015  commencing in-memory singleton removal
Thu Jan 15 11:21:21 2015  begin with 9530821 relations and 9732583 unique ideals
Thu Jan 15 11:21:24 2015  reduce to 4616179 relations and 3708881 ideals in 11 passes
Thu Jan 15 11:21:24 2015  max relations containing the same ideal: 126
Thu Jan 15 11:21:25 2015  removing 1310633 relations and 910633 ideals in 400000 cliques
Thu Jan 15 11:21:25 2015  commencing in-memory singleton removal
Thu Jan 15 11:21:25 2015  begin with 3305546 relations and 3708881 unique ideals
Thu Jan 15 11:21:26 2015  reduce to 3062305 relations and 2529495 ideals in 8 passes
Thu Jan 15 11:21:26 2015  max relations containing the same ideal: 94
Thu Jan 15 11:21:27 2015  removing 1109052 relations and 709052 ideals in 400000 cliques
Thu Jan 15 11:21:27 2015  commencing in-memory singleton removal
Thu Jan 15 11:21:27 2015  begin with 1953253 relations and 2529495 unique ideals
Thu Jan 15 11:21:28 2015  reduce to 1730238 relations and 1568930 ideals in 9 passes
Thu Jan 15 11:21:28 2015  max relations containing the same ideal: 64
Thu Jan 15 11:21:28 2015  removing 358426 relations and 256913 ideals in 101513 cliques
Thu Jan 15 11:21:28 2015  commencing in-memory singleton removal
Thu Jan 15 11:21:28 2015  begin with 1371812 relations and 1568930 unique ideals
Thu Jan 15 11:21:29 2015  reduce to 1311418 relations and 1248069 ideals in 8 passes
Thu Jan 15 11:21:29 2015  max relations containing the same ideal: 51
Thu Jan 15 11:21:29 2015  relations with 0 large ideals: 1221
Thu Jan 15 11:21:29 2015  relations with 1 large ideals: 630
Thu Jan 15 11:21:29 2015  relations with 2 large ideals: 9122
Thu Jan 15 11:21:29 2015  relations with 3 large ideals: 58039
Thu Jan 15 11:21:29 2015  relations with 4 large ideals: 189146
Thu Jan 15 11:21:29 2015  relations with 5 large ideals: 343917
Thu Jan 15 11:21:29 2015  relations with 6 large ideals: 376390
Thu Jan 15 11:21:29 2015  relations with 7+ large ideals: 332953
Thu Jan 15 11:21:29 2015  commencing 2-way merge
Thu Jan 15 11:21:30 2015  reduce to 810719 relation sets and 747370 unique ideals
Thu Jan 15 11:21:30 2015  commencing full merge
Thu Jan 15 11:21:38 2015  memory use: 97.4 MB
Thu Jan 15 11:21:38 2015  found 416793 cycles, need 405570
Thu Jan 15 11:21:38 2015  weight of 405570 cycles is about 28572179 (70.45/cycle)
Thu Jan 15 11:21:38 2015  distribution of cycle lengths:
Thu Jan 15 11:21:38 2015  1 relations: 35642
Thu Jan 15 11:21:38 2015  2 relations: 39071
Thu Jan 15 11:21:38 2015  3 relations: 42705
Thu Jan 15 11:21:38 2015  4 relations: 42755
Thu Jan 15 11:21:38 2015  5 relations: 42219
Thu Jan 15 11:21:38 2015  6 relations: 39345
Thu Jan 15 11:21:38 2015  7 relations: 35322
Thu Jan 15 11:21:38 2015  8 relations: 29919
Thu Jan 15 11:21:38 2015  9 relations: 25155
Thu Jan 15 11:21:38 2015  10+ relations: 73437
Thu Jan 15 11:21:38 2015  heaviest cycle: 19 relations
Thu Jan 15 11:21:38 2015  commencing cycle optimization
Thu Jan 15 11:21:38 2015  start with 2453515 relations
Thu Jan 15 11:21:40 2015  pruned 75601 relations
Thu Jan 15 11:21:40 2015  memory use: 77.9 MB
Thu Jan 15 11:21:40 2015  distribution of cycle lengths:
Thu Jan 15 11:21:40 2015  1 relations: 35642
Thu Jan 15 11:21:40 2015  2 relations: 39913
Thu Jan 15 11:21:40 2015  3 relations: 44271
Thu Jan 15 11:21:40 2015  4 relations: 44275
Thu Jan 15 11:21:40 2015  5 relations: 43849
Thu Jan 15 11:21:40 2015  6 relations: 40729
Thu Jan 15 11:21:40 2015  7 relations: 36501
Thu Jan 15 11:21:40 2015  8 relations: 30297
Thu Jan 15 11:21:40 2015  9 relations: 25147
Thu Jan 15 11:21:40 2015  10+ relations: 64946
Thu Jan 15 11:21:40 2015  heaviest cycle: 19 relations
Thu Jan 15 11:21:41 2015  RelProcTime: 107
Thu Jan 15 11:21:41 2015  
Thu Jan 15 11:21:41 2015  commencing linear algebra
Thu Jan 15 11:21:41 2015  read 405570 cycles
Thu Jan 15 11:21:41 2015  cycles contain 1255942 unique relations
Thu Jan 15 11:21:50 2015  read 1255942 relations
Thu Jan 15 11:21:51 2015  using 20 quadratic characters above 134216868
Thu Jan 15 11:21:55 2015  building initial matrix
Thu Jan 15 11:22:01 2015  memory use: 153.8 MB
Thu Jan 15 11:22:01 2015  read 405570 cycles
Thu Jan 15 11:22:01 2015  matrix is 405392 x 405570 (120.9 MB) with weight 35692767 (88.01/col)
Thu Jan 15 11:22:01 2015  sparse part has weight 27237528 (67.16/col)
Thu Jan 15 11:22:03 2015  filtering completed in 2 passes
Thu Jan 15 11:22:03 2015  matrix is 405204 x 405382 (120.9 MB) with weight 35684566 (88.03/col)
Thu Jan 15 11:22:03 2015  sparse part has weight 27233372 (67.18/col)
Thu Jan 15 11:22:03 2015  matrix starts at (0, 0)
Thu Jan 15 11:22:03 2015  matrix is 405204 x 405382 (120.9 MB) with weight 35684566 (88.03/col)
Thu Jan 15 11:22:03 2015  sparse part has weight 27233372 (67.18/col)
Thu Jan 15 11:22:03 2015  saving the first 48 matrix rows for later
Thu Jan 15 11:22:04 2015  matrix includes 64 packed rows
Thu Jan 15 11:22:04 2015  matrix is 405156 x 405382 (113.6 MB) with weight 28247581 (69.68/col)
Thu Jan 15 11:22:04 2015  sparse part has weight 25722236 (63.45/col)
Thu Jan 15 11:22:04 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 11:22:04 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 11:22:04 2015  memory use: 110.0 MB
Thu Jan 15 11:22:12 2015  linear algebra at 3.0%, ETA 0h 4m
Thu Jan 15 11:26:08 2015  lanczos halted after 6406 iterations (dim = 405152)
Thu Jan 15 11:26:08 2015  recovered 37 nontrivial dependencies
Thu Jan 15 11:26:08 2015  BLanczosTime: 267
Thu Jan 15 11:26:08 2015  
Thu Jan 15 11:26:08 2015  commencing square root phase
Thu Jan 15 11:26:08 2015  reading relations for dependency 1
Thu Jan 15 11:26:08 2015  read 202489 cycles
Thu Jan 15 11:26:08 2015  cycles contain 627904 unique relations
Thu Jan 15 11:26:16 2015  read 627904 relations
Thu Jan 15 11:26:17 2015  multiplying 627904 relations
Thu Jan 15 11:26:29 2015  multiply complete, coefficients have about 19.77 million bits
Thu Jan 15 11:26:29 2015  initial square root is modulo 478111
Thu Jan 15 11:26:46 2015  found factor: 26967752835081148529276830677229006780003913429
Thu Jan 15 11:26:46 2015  reading relations for dependency 2
Thu Jan 15 11:26:46 2015  read 202976 cycles
Thu Jan 15 11:26:46 2015  cycles contain 628702 unique relations
Thu Jan 15 11:26:54 2015  read 628702 relations
Thu Jan 15 11:26:55 2015  multiplying 628702 relations
Thu Jan 15 11:27:07 2015  multiply complete, coefficients have about 19.80 million bits
Thu Jan 15 11:27:07 2015  initial square root is modulo 486331
Thu Jan 15 11:27:23 2015  sqrtTime: 75
--
n: 60273148918189389131037408152720488672105400747039273280037959130044015327503706882827159980327083529327318099587529748156443414839486594221
m: 5000000000000000000000000000000
deg: 5
c5: 2096
c0: -7
skew: 0.32
# Murphy_E = 6.34e-10
type: snfs
lss: 1
rlim: 2900000
alim: 2900000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:13 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 13 秒 (日本時間)

655×10157-79

c106

name 名前Cyp
date 日付January 9, 2015 12:14:28 UTC 2015 年 1 月 9 日 (金) 21 時 14 分 28 秒 (日本時間)
composite number 合成数
1480778076362228465689051167909263935933269090531634135768669748691829074989541844294546065926885436900821<106>
prime factors 素因数
226027266461408087736635538340504603313<39>
6551324977489194315541139863930422292804251985022579361584260476517<67>
factorization results 素因数分解の結果
01/09/15 12:26:14 v1.34.3, 
01/09/15 12:26:14 v1.34.3, ****************************
01/09/15 12:26:14 v1.34.3, Starting factorization of 1480778076362228465689051167909263935933269090531634135768669748691829074989541844294546065926885436900821
01/09/15 12:26:14 v1.34.3, using pretesting plan: none
01/09/15 12:26:14 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 12:26:14 v1.34.3, ****************************
01/09/15 12:26:14 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C106
01/09/15 12:26:14 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C106
01/09/15 12:26:14 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C106
01/09/15 12:26:14 v1.34.3, final ECM pretested depth: 0.00
01/09/15 12:26:14 v1.34.3, scheduler: switching to sieve method
01/09/15 12:26:14 v1.34.3, nfs: commencing nfs on c106: 1480778076362228465689051167909263935933269090531634135768669748691829074989541844294546065926885436900821
01/09/15 12:26:14 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 12:26:14 v1.34.3, nfs: setting deadline of 251 seconds
01/09/15 12:31:18 v1.34.3, nfs: completed 44 ranges of size 250 in 304.3943 seconds
01/09/15 12:31:18 v1.34.3, nfs: best poly = # norm 2.295031e-14 alpha -4.992992 e 5.792e-09 rroots 4
01/09/15 12:31:18 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 12:32:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[15 lines snipped]
01/09/15 12:59:01 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:00:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:02:19 v1.34.3, nfs: commencing msieve filtering
01/09/15 13:02:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:04:42 v1.34.3, nfs: commencing msieve filtering
01/09/15 13:05:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:07:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 13:08:44 v1.34.3, nfs: commencing msieve filtering
01/09/15 13:09:43 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 13:13:47 v1.34.3, nfs: commencing msieve sqrt
01/09/15 13:14:27 v1.34.3, prp39 = 226027266461408087736635538340504603313
01/09/15 13:14:27 v1.34.3, prp67 = 6551324977489194315541139863930422292804251985022579361584260476517
01/09/15 13:14:27 v1.34.3, NFS elapsed time = 2893.1790 seconds.
01/09/15 13:14:27 v1.34.3, 
01/09/15 13:14:27 v1.34.3, 
01/09/15 13:14:27 v1.34.3, Total factoring time = 2893.2008 seconds
--
Fri Jan  9 13:02:19 2015  
Fri Jan  9 13:02:19 2015  commencing relation filtering
Fri Jan  9 13:02:19 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 13:02:19 2015  commencing duplicate removal, pass 1
Fri Jan  9 13:02:31 2015  found 438510 hash collisions in 4563389 relations
Fri Jan  9 13:02:35 2015  added 159030 free relations
Fri Jan  9 13:02:35 2015  commencing duplicate removal, pass 2
Fri Jan  9 13:02:38 2015  found 203696 duplicates and 4518723 unique relations
Fri Jan  9 13:02:38 2015  memory use: 20.6 MB
Fri Jan  9 13:02:38 2015  reading ideals above 100000
Fri Jan  9 13:02:38 2015  commencing singleton removal, initial pass
Fri Jan  9 13:02:56 2015  memory use: 172.2 MB
Fri Jan  9 13:02:56 2015  reading all ideals from disk
Fri Jan  9 13:02:56 2015  memory use: 144.9 MB
Fri Jan  9 13:02:56 2015  keeping 5510585 ideals with weight <= 200, target excess is 21404
Fri Jan  9 13:02:56 2015  commencing in-memory singleton removal
Fri Jan  9 13:02:56 2015  begin with 4518723 relations and 5510585 unique ideals
Fri Jan  9 13:02:58 2015  reduce to 809047 relations and 931804 ideals in 55 passes
Fri Jan  9 13:02:58 2015  max relations containing the same ideal: 61
Fri Jan  9 13:04:42 2015  
Fri Jan  9 13:04:42 2015  commencing relation filtering
Fri Jan  9 13:04:42 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 13:04:42 2015  commencing duplicate removal, pass 1
Fri Jan  9 13:04:56 2015  found 499233 hash collisions in 4962568 relations
Fri Jan  9 13:04:59 2015  added 773 free relations
Fri Jan  9 13:04:59 2015  commencing duplicate removal, pass 2
Fri Jan  9 13:05:03 2015  found 223918 duplicates and 4739423 unique relations
Fri Jan  9 13:05:03 2015  memory use: 20.6 MB
Fri Jan  9 13:05:03 2015  reading ideals above 100000
Fri Jan  9 13:05:03 2015  commencing singleton removal, initial pass
Fri Jan  9 13:05:21 2015  memory use: 172.2 MB
Fri Jan  9 13:05:21 2015  reading all ideals from disk
Fri Jan  9 13:05:21 2015  memory use: 152.0 MB
Fri Jan  9 13:05:22 2015  keeping 5614883 ideals with weight <= 200, target excess is 22343
Fri Jan  9 13:05:22 2015  commencing in-memory singleton removal
Fri Jan  9 13:05:22 2015  begin with 4739423 relations and 5614883 unique ideals
Fri Jan  9 13:05:23 2015  reduce to 1174002 relations and 1249240 ideals in 26 passes
Fri Jan  9 13:05:23 2015  max relations containing the same ideal: 75
Fri Jan  9 13:08:44 2015  
Fri Jan  9 13:08:44 2015  commencing relation filtering
Fri Jan  9 13:08:44 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 13:08:44 2015  commencing duplicate removal, pass 1
Fri Jan  9 13:09:00 2015  found 587937 hash collisions in 5436441 relations
Fri Jan  9 13:09:03 2015  added 1253 free relations
Fri Jan  9 13:09:03 2015  commencing duplicate removal, pass 2
Fri Jan  9 13:09:07 2015  found 265700 duplicates and 5171994 unique relations
Fri Jan  9 13:09:07 2015  memory use: 20.6 MB
Fri Jan  9 13:09:07 2015  reading ideals above 100000
Fri Jan  9 13:09:07 2015  commencing singleton removal, initial pass
Fri Jan  9 13:09:27 2015  memory use: 172.2 MB
Fri Jan  9 13:09:28 2015  reading all ideals from disk
Fri Jan  9 13:09:28 2015  memory use: 166.0 MB
Fri Jan  9 13:09:28 2015  keeping 5803791 ideals with weight <= 200, target excess is 24311
Fri Jan  9 13:09:28 2015  commencing in-memory singleton removal
Fri Jan  9 13:09:29 2015  begin with 5171994 relations and 5803791 unique ideals
Fri Jan  9 13:09:30 2015  reduce to 1786408 relations and 1732299 ideals in 20 passes
Fri Jan  9 13:09:30 2015  max relations containing the same ideal: 100
Fri Jan  9 13:09:31 2015  removing 172923 relations and 159969 ideals in 12954 cliques
Fri Jan  9 13:09:31 2015  commencing in-memory singleton removal
Fri Jan  9 13:09:31 2015  begin with 1613485 relations and 1732299 unique ideals
Fri Jan  9 13:09:31 2015  reduce to 1597897 relations and 1556573 ideals in 9 passes
Fri Jan  9 13:09:31 2015  max relations containing the same ideal: 93
Fri Jan  9 13:09:31 2015  removing 125225 relations and 112271 ideals in 12954 cliques
Fri Jan  9 13:09:31 2015  commencing in-memory singleton removal
Fri Jan  9 13:09:31 2015  begin with 1472672 relations and 1556573 unique ideals
Fri Jan  9 13:09:32 2015  reduce to 1463200 relations and 1434742 ideals in 9 passes
Fri Jan  9 13:09:32 2015  max relations containing the same ideal: 86
Fri Jan  9 13:09:32 2015  relations with 0 large ideals: 483
Fri Jan  9 13:09:32 2015  relations with 1 large ideals: 199
Fri Jan  9 13:09:32 2015  relations with 2 large ideals: 3153
Fri Jan  9 13:09:32 2015  relations with 3 large ideals: 26623
Fri Jan  9 13:09:32 2015  relations with 4 large ideals: 123095
Fri Jan  9 13:09:32 2015  relations with 5 large ideals: 329166
Fri Jan  9 13:09:32 2015  relations with 6 large ideals: 447118
Fri Jan  9 13:09:32 2015  relations with 7+ large ideals: 533363
Fri Jan  9 13:09:32 2015  commencing 2-way merge
Fri Jan  9 13:09:33 2015  reduce to 814029 relation sets and 785572 unique ideals
Fri Jan  9 13:09:33 2015  ignored 1 oversize relation sets
Fri Jan  9 13:09:33 2015  commencing full merge
Fri Jan  9 13:09:40 2015  memory use: 84.4 MB
Fri Jan  9 13:09:40 2015  found 387432 cycles, need 385772
Fri Jan  9 13:09:40 2015  weight of 385772 cycles is about 27238848 (70.61/cycle)
Fri Jan  9 13:09:40 2015  distribution of cycle lengths:
Fri Jan  9 13:09:40 2015  1 relations: 45988
Fri Jan  9 13:09:40 2015  2 relations: 43780
Fri Jan  9 13:09:40 2015  3 relations: 41334
Fri Jan  9 13:09:40 2015  4 relations: 36123
Fri Jan  9 13:09:40 2015  5 relations: 33174
Fri Jan  9 13:09:40 2015  6 relations: 27698
Fri Jan  9 13:09:40 2015  7 relations: 24275
Fri Jan  9 13:09:40 2015  8 relations: 21234
Fri Jan  9 13:09:40 2015  9 relations: 18184
Fri Jan  9 13:09:40 2015  10+ relations: 93982
Fri Jan  9 13:09:40 2015  heaviest cycle: 28 relations
Fri Jan  9 13:09:40 2015  commencing cycle optimization
Fri Jan  9 13:09:40 2015  start with 2582621 relations
Fri Jan  9 13:09:42 2015  pruned 53716 relations
Fri Jan  9 13:09:42 2015  memory use: 85.0 MB
Fri Jan  9 13:09:42 2015  distribution of cycle lengths:
Fri Jan  9 13:09:42 2015  1 relations: 45988
Fri Jan  9 13:09:42 2015  2 relations: 44652
Fri Jan  9 13:09:42 2015  3 relations: 42542
Fri Jan  9 13:09:42 2015  4 relations: 36888
Fri Jan  9 13:09:42 2015  5 relations: 33740
Fri Jan  9 13:09:42 2015  6 relations: 28126
Fri Jan  9 13:09:42 2015  7 relations: 24263
Fri Jan  9 13:09:42 2015  8 relations: 21127
Fri Jan  9 13:09:42 2015  9 relations: 18116
Fri Jan  9 13:09:42 2015  10+ relations: 90330
Fri Jan  9 13:09:42 2015  heaviest cycle: 28 relations
Fri Jan  9 13:09:43 2015  RelProcTime: 59
Fri Jan  9 13:09:43 2015  
Fri Jan  9 13:09:43 2015  commencing linear algebra
Fri Jan  9 13:09:43 2015  read 385772 cycles
Fri Jan  9 13:09:43 2015  cycles contain 1423492 unique relations
Fri Jan  9 13:09:50 2015  read 1423492 relations
Fri Jan  9 13:09:50 2015  using 20 quadratic characters above 67107570
Fri Jan  9 13:09:55 2015  building initial matrix
Fri Jan  9 13:10:01 2015  memory use: 173.1 MB
Fri Jan  9 13:10:02 2015  read 385772 cycles
Fri Jan  9 13:10:02 2015  matrix is 385605 x 385772 (115.9 MB) with weight 36700702 (95.14/col)
Fri Jan  9 13:10:02 2015  sparse part has weight 26127884 (67.73/col)
Fri Jan  9 13:10:03 2015  filtering completed in 2 passes
Fri Jan  9 13:10:03 2015  matrix is 385110 x 385287 (115.8 MB) with weight 36678179 (95.20/col)
Fri Jan  9 13:10:03 2015  sparse part has weight 26120541 (67.80/col)
Fri Jan  9 13:10:04 2015  matrix starts at (0, 0)
Fri Jan  9 13:10:04 2015  matrix is 385110 x 385287 (115.8 MB) with weight 36678179 (95.20/col)
Fri Jan  9 13:10:04 2015  sparse part has weight 26120541 (67.80/col)
Fri Jan  9 13:10:04 2015  saving the first 48 matrix rows for later
Fri Jan  9 13:10:04 2015  matrix includes 64 packed rows
Fri Jan  9 13:10:04 2015  matrix is 385062 x 385287 (111.6 MB) with weight 29192223 (75.77/col)
Fri Jan  9 13:10:04 2015  sparse part has weight 25402143 (65.93/col)
Fri Jan  9 13:10:04 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 13:10:05 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 13:10:05 2015  memory use: 105.8 MB
Fri Jan  9 13:10:12 2015  linear algebra at 3.2%, ETA 0h 3m
Fri Jan  9 13:13:47 2015  lanczos halted after 6091 iterations (dim = 385062)
Fri Jan  9 13:13:47 2015  recovered 33 nontrivial dependencies
Fri Jan  9 13:13:47 2015  BLanczosTime: 244
Fri Jan  9 13:13:47 2015  
Fri Jan  9 13:13:47 2015  commencing square root phase
Fri Jan  9 13:13:47 2015  reading relations for dependency 1
Fri Jan  9 13:13:47 2015  read 192398 cycles
Fri Jan  9 13:13:48 2015  cycles contain 710446 unique relations
Fri Jan  9 13:13:52 2015  read 710446 relations
Fri Jan  9 13:13:54 2015  multiplying 710446 relations
Fri Jan  9 13:14:07 2015  multiply complete, coefficients have about 31.04 million bits
Fri Jan  9 13:14:08 2015  initial square root is modulo 819416747
Fri Jan  9 13:14:27 2015  sqrtTime: 40
--
n: 1480778076362228465689051167909263935933269090531634135768669748691829074989541844294546065926885436900821
skew: 1519161.16
c0: 13521785975114254431442660747
c1: 10321976965839940519809
c2: -50498016144885648
c3: -11345147779
c4: 9996
Y0: -19618518378011871765758243
Y1: 43552850072275
rlim: 2640000
alim: 2640000
lpbr: 26
lpba: 26
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)

655×10160-79

c125

name 名前Jo Yeong Uk
date 日付January 22, 2015 22:02:14 UTC 2015 年 1 月 23 日 (金) 7 時 2 分 14 秒 (日本時間)
composite number 合成数
27720116053807034911985817053035027523830649907295673828098403922925824149877439968821699296976221855643233449419146491941269<125>
prime factors 素因数
189956631126693697965947310173868904289<39>
145928656922320304403024615859026412606326719948470771704766407410567580687389845680821<87>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 27720116053807034911985817053035027523830649907295673828098403922925824149877439968821699296976221855643233449419146491941269 (125 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2111711976
Step 1 took 5409ms
Step 2 took 2245ms
********** Factor found in step 2: 189956631126693697965947310173868904289
Found probable prime factor of 39 digits: 189956631126693697965947310173868904289
Probable prime cofactor 145928656922320304403024615859026412606326719948470771704766407410567580687389845680821 has 87 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:14 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 14 秒 (日本時間)

655×10163-79

c153

name 名前Jo Yeong Uk
date 日付February 7, 2015 06:47:56 UTC 2015 年 2 月 7 日 (土) 15 時 47 分 56 秒 (日本時間)
composite number 合成数
485813223710827167152361110268100840581032804492766242000370365827595690546920307284261943068061823542543419932445610257173795565300080824858166329541509<153>
prime factors 素因数
108407395086707178889206026013433435471067<42>
4481366085055918522416267962047285289686309792378620378521439374533868313991827505072539574954714503597640548127<112>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 485813223710827167152361110268100840581032804492766242000370365827595690546920307284261943068061823542543419932445610257173795565300080824858166329541509 (153 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=7886251919
Step 1 took 6654ms
Step 2 took 2662ms
********** Factor found in step 2: 108407395086707178889206026013433435471067
Found probable prime factor of 42 digits: 108407395086707178889206026013433435471067
Probable prime cofactor 4481366085055918522416267962047285289686309792378620378521439374533868313991827505072539574954714503597640548127 has 112 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:14 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 14 秒 (日本時間)

655×10165-79

c142

name 名前Jo Yeong Uk
date 日付March 4, 2015 12:43:09 UTC 2015 年 3 月 4 日 (水) 21 時 43 分 9 秒 (日本時間)
composite number 合成数
4330352388720370619323798667550674902189027287839038481346693362222891958160099728529785671530396864961987562692503918902309541668467132569213<142>
prime factors 素因数
33888477714776174875300096329224800125047622540059<50>
127782440544156839829093296848265907695894972568637337506975035022064386487399422226197403207<93>
factorization results 素因数分解の結果
Number: 72777_165
N=4330352388720370619323798667550674902189027287839038481346693362222891958160099728529785671530396864961987562692503918902309541668467132569213
  ( 142 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=33888477714776174875300096329224800125047622540059
 r2=127782440544156839829093296848265907695894972568637337506975035022064386487399422226197403207
Version: 
Total time: 16.43 hours.
Scaled time: 86.30 units (timescale=5.252).
Factorization parameters were as follows:
n: 4330352388720370619323798667550674902189027287839038481346693362222891958160099728529785671530396864961987562692503918902309541668467132569213
m: 1000000000000000000000000000000000
deg: 5
c5: 655
c0: -7
skew: 0.40
# Murphy_E = 2.869e-10
type: snfs
lss: 1
rlim: 4400000
alim: 4400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4400000/4400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2200000, 4500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10049929
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 775976 x 776223
Total sieving time: 15.21 hours.
Total relation processing time: 0.56 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4400000,4400000,27,27,51,51,2.4,2.4,100000
total time: 16.43 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400206)
Total of 12 processors activated (81604.94 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:01:15 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 15 秒 (日本時間)
2350Ignacio SantosFebruary 18, 2015 21:21:40 UTC 2015 年 2 月 19 日 (木) 6 時 21 分 40 秒 (日本時間)

655×10170-79

c147

name 名前Jo Yeong Uk
date 日付April 24, 2015 16:18:07 UTC 2015 年 4 月 25 日 (土) 1 時 18 分 7 秒 (日本時間)
composite number 合成数
301140786726956848252578566056617972347053273215174803310695827346714868426356334768778025196762703617164659839484156654254966349828478593702690609<147>
prime factors 素因数
12027658954233049752462257664679521273713770829113113414769697<62>
25037356635471649447167442002767583810790330823436299405183031326954777883025510990097<86>
factorization results 素因数分解の結果
Number: 72777_170
N=301140786726956848252578566056617972347053273215174803310695827346714868426356334768778025196762703617164659839484156654254966349828478593702690609
  ( 147 digits)
SNFS difficulty: 172 digits.
Divisors found:
 r1=12027658954233049752462257664679521273713770829113113414769697
 r2=25037356635471649447167442002767583810790330823436299405183031326954777883025510990097
Version: 
Total time: 25.85 hours.
Scaled time: 134.95 units (timescale=5.220).
Factorization parameters were as follows:
n: 301140786726956848252578566056617972347053273215174803310695827346714868426356334768778025196762703617164659839484156654254966349828478593702690609
m: 10000000000000000000000000000000000
deg: 5
c5: 655
c0: -7
skew: 0.40
# Murphy_E = 1.819e-10
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3000000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11412733
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1004528 x 1004776
Total sieving time: 23.72 hours.
Total relation processing time: 0.94 hours.
Matrix solve time: 1.05 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
snfs,172,5,0,0,0,0,0,0,0,0,6000000,6000000,27,27,52,52,2.4,2.4,100000
total time: 25.85 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.21 BogoMIPS (lpj=3400107)
Total of 12 processors activated (81602.56 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:01:16 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 16 秒 (日本時間)
2350Ignacio SantosFebruary 24, 2015 17:42:19 UTC 2015 年 2 月 25 日 (水) 2 時 42 分 19 秒 (日本時間)

655×10171-79

c172

name 名前Serge Batalov
date 日付January 9, 2015 03:46:57 UTC 2015 年 1 月 9 日 (金) 12 時 46 分 57 秒 (日本時間)
composite number 合成数
2695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251<172>
prime factors 素因数
13198484814302357987876991352695373<35>
composite cofactor 合成数の残り
204225961460962077490068432537355942910495731637341987101854086583013751340783350069066160803507214217151502769210490088533933356197624687<138>
factorization results 素因数分解の結果
Input number is 2695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251028806584362139917695473251 (172 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=75371685
Step 1 took 10916ms
Step 2 took 8728ms
********** Factor found in step 2: 13198484814302357987876991352695373
Found probable prime factor of 35 digits: 13198484814302357987876991352695373
Composite cofactor 204225961460962077490068432537355942910495731637341987101854086583013751340783350069066160803507214217151502769210490088533933356197624687 has 138 digits

c138

name 名前Jo Yeong Uk
date 日付April 29, 2015 13:40:04 UTC 2015 年 4 月 29 日 (水) 22 時 40 分 4 秒 (日本時間)
composite number 合成数
204225961460962077490068432537355942910495731637341987101854086583013751340783350069066160803507214217151502769210490088533933356197624687<138>
prime factors 素因数
17502588697053158205446127890944265995914172208238929062186681801543<68>
11668328896704679848614534027518833922375667284466619129718319997395609<71>
factorization results 素因数分解の結果
Number: 72777_171
N=204225961460962077490068432537355942910495731637341987101854086583013751340783350069066160803507214217151502769210490088533933356197624687
  ( 138 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=17502588697053158205446127890944265995914172208238929062186681801543
 r2=11668328896704679848614534027518833922375667284466619129718319997395609
Version: 
Total time: 41.49 hours.
Scaled time: 217.92 units (timescale=5.253).
Factorization parameters were as follows:
n: 204225961460962077490068432537355942910495731637341987101854086583013751340783350069066160803507214217151502769210490088533933356197624687
m: 10000000000000000000000000000000000
deg: 5
c5: 6550
c0: -7
skew: 0.25
# Murphy_E = 1.17e-10
type: snfs
lss: 1
rlim: 6400000
alim: 6400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 6400000/6400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [3200000, 8500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 12021514
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1186970 x 1187218
Total sieving time: 37.88 hours.
Total relation processing time: 1.57 hours.
Matrix solve time: 1.53 hours.
Time per square root: 0.51 hours.
Prototype def-par.txt line would be:
snfs,173,5,0,0,0,0,0,0,0,0,6400000,6400000,27,27,52,52,2.4,2.4,100000
total time: 41.49 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.00 BogoMIPS (lpj=3400000)
Total of 12 processors activated (81600.00 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62650300Serge BatalovJanuary 9, 2015 00:01:16 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 16 秒 (日本時間)
2350Ignacio SantosMarch 2, 2015 18:31:18 UTC 2015 年 3 月 3 日 (火) 3 時 31 分 18 秒 (日本時間)

655×10172-79

c151

name 名前Serge Batalov
date 日付January 9, 2015 03:47:01 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 1 秒 (日本時間)
composite number 合成数
3392703593114641631049126527806318221409339918209082520602516831676577831678497092212782974895494053232073508265235912985637522697199698065048738834409<151>
prime factors 素因数
4688547420322955350798943782109<31>
723615074982209792956480955364050911492382806133260045583758765595999829419058544527477837206080851763906168858461464701<120>
factorization results 素因数分解の結果
Input number is 3392703593114641631049126527806318221409339918209082520602516831676577831678497092212782974895494053232073508265235912985637522697199698065048738834409 (151 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3206034557
Step 1 took 9120ms
********** Factor found in step 1: 4688547420322955350798943782109
Found probable prime factor of 31 digits: 4688547420322955350798943782109
Probable prime cofactor 723615074982209792956480955364050911492382806133260045583758765595999829419058544527477837206080851763906168858461464701 has 120 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:17 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 17 秒 (日本時間)

655×10173-79

c164

name 名前Jo Yeong Uk
date 日付May 8, 2015 14:21:48 UTC 2015 年 5 月 8 日 (金) 23 時 21 分 48 秒 (日本時間)
composite number 合成数
12509989473234550019180416312713799077370507236301036009892015023220121426089939764979738454799630792763414252233760372164339310421380980407979379352722634051997123<164>
prime factors 素因数
18655503251322621369714684464504660567894061741368961480151057<62>
670579040656414768651468564922717731755699312075189970070926144570445561825729654757203737610278638739<102>
factorization results 素因数分解の結果
Number: 72777_173
N=12509989473234550019180416312713799077370507236301036009892015023220121426089939764979738454799630792763414252233760372164339310421380980407979379352722634051997123
  ( 164 digits)
SNFS difficulty: 176 digits.
Divisors found:
 r1=18655503251322621369714684464504660567894061741368961480151057
 r2=670579040656414768651468564922717731755699312075189970070926144570445561825729654757203737610278638739
Version: 
Total time: 34.28 hours.
Scaled time: 178.75 units (timescale=5.214).
Factorization parameters were as follows:
n: 12509989473234550019180416312713799077370507236301036009892015023220121426089939764979738454799630792763414252233760372164339310421380980407979379352722634051997123
m: 50000000000000000000000000000000000
deg: 5
c5: 1048
c0: -35
skew: 0.51
# Murphy_E = 1.167e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3600000, 7500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18124133
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1351357 x 1351605
Total sieving time: 30.29 hours.
Total relation processing time: 1.78 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,176,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,53,53,2.5,2.5,100000
total time: 34.28 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.18 BogoMIPS (lpj=3400094)
Total of 12 processors activated (81602.25 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:18 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 18 秒 (日本時間)
4511e61024 / 4409CypMay 2, 2015 17:22:03 UTC 2015 年 5 月 3 日 (日) 2 時 22 分 3 秒 (日本時間)

655×10175-79

c158

name 名前Cyp
date 日付February 3, 2015 14:24:00 UTC 2015 年 2 月 3 日 (火) 23 時 24 分 0 秒 (日本時間)
composite number 合成数
18073607530330127001775473950986801419160232424951500792479068076633383167681150486429046860388322106859394843436216730945677361960438047258447198525214672359<158>
prime factors 素因数
263267175197164525068464995240981<33>
composite cofactor 合成数の残り
68651200123200113094633153878810169180720452492644982137271465477072476961500409376099092439105083655340784373274353382096139<125>
factorization results 素因数分解の結果
Run 147 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3359889088
Step 1 took 50027ms
Step 2 took 16638ms
********** Factor found in step 2: 263267175197164525068464995240981
Found probable prime factor of 33 digits: 263267175197164525068464995240981
Composite cofactor 68651200123200113094633153878810169180720452492644982137271465477072476961500409376099092439105083655340784373274353382096139 has 125 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c125

name 名前Jo Yeong Uk
date 日付May 20, 2015 21:52:30 UTC 2015 年 5 月 21 日 (木) 6 時 52 分 30 秒 (日本時間)
composite number 合成数
68651200123200113094633153878810169180720452492644982137271465477072476961500409376099092439105083655340784373274353382096139<125>
prime factors 素因数
377274763862502080433848631880735553754101993047<48>
181966054183841639025113678681563331002672935209285928968726847310597507952237<78>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 68651200123200113094633153878810169180720452492644982137271465477072476961500409376099092439105083655340784373274353382096139 (125 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2872814928
Step 1 took 19808ms
Step 2 took 7598ms
********** Factor found in step 2: 377274763862502080433848631880735553754101993047
Found probable prime factor of 48 digits: 377274763862502080433848631880735553754101993047
Probable prime cofactor 181966054183841639025113678681563331002672935209285928968726847310597507952237 has 78 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:18 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 18 秒 (日本時間)
4511e6585 / 4409CypFebruary 3, 2015 14:24:00 UTC 2015 年 2 月 3 日 (火) 23 時 24 分 0 秒 (日本時間)

655×10176-79

c167

name 名前Jo Yeong Uk
date 日付October 7, 2015 14:26:35 UTC 2015 年 10 月 7 日 (水) 23 時 26 分 35 秒 (日本時間)
composite number 合成数
26716519533889847754843621030548793307795992615448598248940866159115900594515878201886050585522813409985733969893175552079508706819194068304967048509524103409818851319<167>
prime factors 素因数
68728027442527475058366603847549676902227573758326109621307424428037<68>
388728158337310590361405613536603595236505812277443572601783337138017780083693641954779838900573387<99>
factorization results 素因数分解の結果
Number: 72777_176
N=26716519533889847754843621030548793307795992615448598248940866159115900594515878201886050585522813409985733969893175552079508706819194068304967048509524103409818851319
  ( 167 digits)
SNFS difficulty: 178 digits.
Divisors found:
 r1=68728027442527475058366603847549676902227573758326109621307424428037
 r2=388728158337310590361405613536603595236505812277443572601783337138017780083693641954779838900573387
Version: 
Total time: 61.57 hours.
Scaled time: 323.69 units (timescale=5.257).
Factorization parameters were as follows:
n: 26716519533889847754843621030548793307795992615448598248940866159115900594515878201886050585522813409985733969893175552079508706819194068304967048509524103409818851319
m: 100000000000000000000000000000000000
deg: 5
c5: 6550
c0: -7
skew: 0.25
# Murphy_E = 7.381e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [4200000, 11000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19523304
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1614413 x 1614661
Total sieving time: 54.34 hours.
Total relation processing time: 3.32 hours.
Matrix solve time: 3.36 hours.
Time per square root: 0.55 hours.
Prototype def-par.txt line would be:
snfs,178,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,53,53,2.5,2.5,100000
total time: 61.57 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:19 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 19 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 13, 2015 22:57:02 UTC 2015 年 5 月 14 日 (木) 7 時 57 分 2 秒 (日本時間)

655×10177-79

c139

name 名前Jo Yeong Uk
date 日付October 27, 2015 06:27:31 UTC 2015 年 10 月 27 日 (火) 15 時 27 分 31 秒 (日本時間)
composite number 合成数
5379528756343783255022519629511305268016633819669024118849097655915186578218676082232000335621671887073547240137605178581530398029648563743<139>
prime factors 素因数
100302137879143547038684516659837790938570035409759530828234527111<66>
53633241225882010116287004320407791251266239531523210615570234771537798313<74>
factorization results 素因数分解の結果
Number: 72777_177
N=5379528756343783255022519629511305268016633819669024118849097655915186578218676082232000335621671887073547240137605178581530398029648563743
  ( 139 digits)
SNFS difficulty: 179 digits.
Divisors found:
 r1=100302137879143547038684516659837790938570035409759530828234527111
 r2=53633241225882010116287004320407791251266239531523210615570234771537798313
Version: 
Total time: 65.94 hours.
Scaled time: 346.60 units (timescale=5.256).
Factorization parameters were as follows:
n: 5379528756343783255022519629511305268016633819669024118849097655915186578218676082232000335621671887073547240137605178581530398029648563743
m: 100000000000000000000000000000000000
deg: 5
c5: 65500
c0: -7
skew: 0.16
# Murphy_E = 6.43e-11
type: snfs
lss: 1
rlim: 10000000
alim: 10000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 10000000/10000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [5000000, 11800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19493541
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1674810 x 1675058
Total sieving time: 58.74 hours.
Total relation processing time: 3.36 hours.
Matrix solve time: 3.69 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,179,5,0,0,0,0,0,0,0,0,10000000,10000000,28,28,53,53,2.5,2.5,100000
total time: 65.94 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365480k/51380224k available (5395k kernel code, 1086460k absent, 928284k reserved, 7013k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.95 BogoMIPS (lpj=3399977)
Total of 12 processors activated (81599.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:20 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 20 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 6, 2015 10:52:41 UTC 2015 年 5 月 6 日 (水) 19 時 52 分 41 秒 (日本時間)

655×10180-79

c160

name 名前Jo Yeong Uk
date 日付January 15, 2016 08:42:35 UTC 2016 年 1 月 15 日 (金) 17 時 42 分 35 秒 (日本時間)
composite number 合成数
3672057982508429408575639753151056233602081070332500850868032269311452059521569270029650629058720862642154370030617695775062203814718646269730490926577444213271<160>
prime factors 素因数
827885338737856711549538344092879478370136403447033556753111<60>
4435466858377543120912504766526302131723677613404463435014356933617089659745864782549181165612538561<100>
factorization results 素因数分解の結果
Number: 72777_180
N=3672057982508429408575639753151056233602081070332500850868032269311452059521569270029650629058720862642154370030617695775062203814718646269730490926577444213271
  ( 160 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=827885338737856711549538344092879478370136403447033556753111
 r2=4435466858377543120912504766526302131723677613404463435014356933617089659745864782549181165612538561
Version: 
Total time: 61.18 hours.
Scaled time: 320.80 units (timescale=5.244).
Factorization parameters were as follows:
n: 3672057982508429408575639753151056233602081070332500850868032269311452059521569270029650629058720862642154370030617695775062203814718646269730490926577444213271
m: 1000000000000000000000000000000000000
deg: 5
c5: 655
c0: -7
skew: 0.40
# Murphy_E = 7.209e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 5900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18634457
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1296323 x 1296571
Total sieving time: 57.71 hours.
Total relation processing time: 1.41 hours.
Matrix solve time: 1.89 hours.
Time per square root: 0.17 hours.
Prototype def-par.txt line would be:
snfs,182,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 61.18 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:20 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 20 秒 (日本時間)
1CypJanuary 9, 2015 01:03:07 UTC 2015 年 1 月 9 日 (金) 10 時 3 分 7 秒 (日本時間)
4511e6600 / 4409KTakahashiMay 19, 2015 11:44:21 UTC 2015 年 5 月 19 日 (火) 20 時 44 分 21 秒 (日本時間)

655×10181-79

c125

name 名前Erik Branger
date 日付January 31, 2015 19:00:22 UTC 2015 年 2 月 1 日 (日) 4 時 0 分 22 秒 (日本時間)
composite number 合成数
16330722675337855923544991583615534625497860165418032715558927196623041565409862330436420271389428451899212327149090926128937<125>
prime factors 素因数
49485048602679179890782859685210810481551712032777<50>
330013269390902265548171647155110224069985740279040850255885209051360962081<75>
factorization results 素因数分解の結果
Number: 72777_181
N = 16330722675337855923544991583615534625497860165418032715558927196623041565409862330436420271389428451899212327149090926128937 (125 digits)
Divisors found:
r1=49485048602679179890782859685210810481551712032777 (pp50)
r2=330013269390902265548171647155110224069985740279040850255885209051360962081 (pp75)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 29.04 hours.
Factorization parameters were as follows:
# Murphy_E = 1.649e-10, selected by Erik Branger
# expecting poly E from 1.87e-010 to > 2.15e-010
n: 16330722675337855923544991583615534625497860165418032715558927196623041565409862330436420271389428451899212327149090926128937
Y0: -939424377968862733991196
Y1: 10363019972249
c0: -707093748574950198984599735
c1: 14369445300027893008580870
c2: -267222888725835188464
c3: -1195968172670684
c4: 9709480773
c5: 22320
skew: 149713.17
type: gnfs
# selected mechanically
rlim: 6800000
alim: 6800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6800000/6800000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10655944
Relations: 1509032 relations
Pruned matrix : 899760 x 899985
Polynomial selection time: 0.00 hours.
Total sieving time: 28.46 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.48 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,27,27,52,52,2.5,2.5,100000
total time: 29.04 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:21 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 21 秒 (日本時間)
4511e6800 / 4409Pierre JammesJanuary 28, 2015 07:07:36 UTC 2015 年 1 月 28 日 (水) 16 時 7 分 36 秒 (日本時間)

655×10182-79

c162

name 名前Serge Batalov
date 日付January 9, 2015 03:47:05 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 5 秒 (日本時間)
composite number 合成数
325610514855552129303107007267971530929281478418864110725572697478106877863628495184565008857447199826215876381185561585436909921960897395423255246529161642900741<162>
prime factors 素因数
815855870380368077758087920856303<33>
composite cofactor 合成数の残り
399102987030964296792554822943771184186953728130794555833785725615702316074764415451131060183544343963716344796897015118619401547<129>
factorization results 素因数分解の結果
Input number is 325610514855552129303107007267971530929281478418864110725572697478106877863628495184565008857447199826215876381185561585436909921960897395423255246529161642900741 (162 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=570268189
Step 1 took 10919ms
********** Factor found in step 1: 815855870380368077758087920856303
Found probable prime factor of 33 digits: 815855870380368077758087920856303
Composite cofactor 399102987030964296792554822943771184186953728130794555833785725615702316074764415451131060183544343963716344796897015118619401547 has 129 digits

c129

name 名前Pierre Jammes
date 日付January 28, 2015 11:17:24 UTC 2015 年 1 月 28 日 (水) 20 時 17 分 24 秒 (日本時間)
composite number 合成数
399102987030964296792554822943771184186953728130794555833785725615702316074764415451131060183544343963716344796897015118619401547<129>
prime factors 素因数
173904878077487054810735550923063402579461<42>
2294949925746967178852257924751873449815287998656663937638928241139337101006477505210127<88>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=1133129264
Step 1 took 63440ms
Step 2 took 55956ms
********** Factor found in step 2: 173904878077487054810735550923063402579461
Found probable prime factor of 42 digits: 173904878077487054810735550923063402579461
Probable prime cofactor 2294949925746967178852257924751873449815287998656663937638928241139337101006477505210127 has 88 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:01:21 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 21 秒 (日本時間)
1CypJanuary 9, 2015 01:04:25 UTC 2015 年 1 月 9 日 (金) 10 時 4 分 25 秒 (日本時間)

655×10184-79

c184

name 名前Cyp
date 日付April 17, 2015 02:35:48 UTC 2015 年 4 月 17 日 (金) 11 時 35 分 48 秒 (日本時間)
composite number 合成数
1081393429090308733696549446920917946177975895657916460293874855539045732210665345880799075449892686148258213637114082879313191348852567277530130427604424632656430576192834736668317649<184>
prime factors 素因数
479504973577178686938039548725894006636157673572803498137209<60>
2255228806122598300213803191419252882318426914315796337601015887912477388235998951887273954835539098519760876197266197403161<124>
factorization results 素因数分解の結果
04/15/15 23:09:36 v1.34.3, 
04/15/15 23:09:36 v1.34.3, ****************************
04/15/15 23:09:36 v1.34.3, Starting factorization of 1081393429090308733696549446920917946177975895657916460293874855539045732210665345880799075449892686148258213637114082879313191348852567277530130427604424632656430576192834736668317649
04/15/15 23:09:36 v1.34.3, using pretesting plan: none
04/15/15 23:09:36 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/15/15 23:09:36 v1.34.3, ****************************
04/15/15 23:09:36 v1.34.3, nfs: commencing nfs on c184: 1081393429090308733696549446920917946177975895657916460293874855539045732210665345880799075449892686148258213637114082879313191348852567277530130427604424632656430576192834736668317649
04/15/15 23:09:36 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/15/15 23:09:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/15/15 23:38:32 v1.34.3, nfs: commencing lattice sieving with 8 threads
[53 lines snipped]
04/17/15 02:04:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/17/15 02:34:27 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/17/15 03:04:05 v1.34.3, nfs: commencing msieve filtering
04/17/15 03:08:34 v1.34.3, nfs: commencing msieve linear algebra
04/17/15 04:29:30 v1.34.3, nfs: commencing msieve sqrt
04/17/15 04:35:46 v1.34.3, prp60 = 479504973577178686938039548725894006636157673572803498137209
04/17/15 04:35:47 v1.34.3, prp124 = 2255228806122598300213803191419252882318426914315796337601015887912477388235998951887273954835539098519760876197266197403161
04/17/15 04:35:47 v1.34.3, NFS elapsed time = 105971.0337 seconds.
04/17/15 04:35:47 v1.34.3, 
04/17/15 04:35:47 v1.34.3, 
04/17/15 04:35:47 v1.34.3, Total factoring time = 105971.0352 seconds
--
Fri Apr 17 03:04:05 2015  
Fri Apr 17 03:04:05 2015  commencing relation filtering
Fri Apr 17 03:04:05 2015  estimated available RAM is 15987.3 MB
Fri Apr 17 03:04:05 2015  commencing duplicate removal, pass 1
Fri Apr 17 03:05:10 2015  skipped 1 relations with b > 2^32
Fri Apr 17 03:05:10 2015  found 2791525 hash collisions in 21291057 relations
Fri Apr 17 03:05:30 2015  added 719543 free relations
Fri Apr 17 03:05:30 2015  commencing duplicate removal, pass 2
Fri Apr 17 03:05:49 2015  found 1758924 duplicates and 20251676 unique relations
Fri Apr 17 03:05:49 2015  memory use: 82.6 MB
Fri Apr 17 03:05:49 2015  reading ideals above 720000
Fri Apr 17 03:05:49 2015  commencing singleton removal, initial pass
Fri Apr 17 03:07:19 2015  memory use: 689.0 MB
Fri Apr 17 03:07:19 2015  reading all ideals from disk
Fri Apr 17 03:07:19 2015  memory use: 652.5 MB
Fri Apr 17 03:07:20 2015  keeping 21704745 ideals with weight <= 200, target excess is 117170
Fri Apr 17 03:07:21 2015  commencing in-memory singleton removal
Fri Apr 17 03:07:22 2015  begin with 20251676 relations and 21704745 unique ideals
Fri Apr 17 03:07:33 2015  reduce to 9140920 relations and 8446733 ideals in 19 passes
Fri Apr 17 03:07:33 2015  max relations containing the same ideal: 123
Fri Apr 17 03:07:36 2015  removing 1730349 relations and 1451214 ideals in 279135 cliques
Fri Apr 17 03:07:36 2015  commencing in-memory singleton removal
Fri Apr 17 03:07:36 2015  begin with 7410571 relations and 8446733 unique ideals
Fri Apr 17 03:07:40 2015  reduce to 7123652 relations and 6697048 ideals in 11 passes
Fri Apr 17 03:07:40 2015  max relations containing the same ideal: 99
Fri Apr 17 03:07:43 2015  removing 1354519 relations and 1075384 ideals in 279135 cliques
Fri Apr 17 03:07:43 2015  commencing in-memory singleton removal
Fri Apr 17 03:07:43 2015  begin with 5769133 relations and 6697048 unique ideals
Fri Apr 17 03:07:46 2015  reduce to 5546963 relations and 5390597 ideals in 9 passes
Fri Apr 17 03:07:46 2015  max relations containing the same ideal: 84
Fri Apr 17 03:07:47 2015  removing 169916 relations and 149468 ideals in 20448 cliques
Fri Apr 17 03:07:47 2015  commencing in-memory singleton removal
Fri Apr 17 03:07:48 2015  begin with 5377047 relations and 5390597 unique ideals
Fri Apr 17 03:07:49 2015  reduce to 5373344 relations and 5237411 ideals in 6 passes
Fri Apr 17 03:07:49 2015  max relations containing the same ideal: 83
Fri Apr 17 03:07:50 2015  relations with 0 large ideals: 2897
Fri Apr 17 03:07:50 2015  relations with 1 large ideals: 700
Fri Apr 17 03:07:50 2015  relations with 2 large ideals: 12905
Fri Apr 17 03:07:50 2015  relations with 3 large ideals: 103175
Fri Apr 17 03:07:50 2015  relations with 4 large ideals: 433050
Fri Apr 17 03:07:50 2015  relations with 5 large ideals: 1044875
Fri Apr 17 03:07:50 2015  relations with 6 large ideals: 1558324
Fri Apr 17 03:07:50 2015  relations with 7+ large ideals: 2217418
Fri Apr 17 03:07:50 2015  commencing 2-way merge
Fri Apr 17 03:07:52 2015  reduce to 3179793 relation sets and 3043860 unique ideals
Fri Apr 17 03:07:52 2015  commencing full merge
Fri Apr 17 03:08:22 2015  memory use: 369.5 MB
Fri Apr 17 03:08:22 2015  found 1644306 cycles, need 1626060
Fri Apr 17 03:08:23 2015  weight of 1626060 cycles is about 113870892 (70.03/cycle)
Fri Apr 17 03:08:23 2015  distribution of cycle lengths:
Fri Apr 17 03:08:23 2015  1 relations: 203836
Fri Apr 17 03:08:23 2015  2 relations: 191644
Fri Apr 17 03:08:23 2015  3 relations: 189882
Fri Apr 17 03:08:23 2015  4 relations: 174990
Fri Apr 17 03:08:23 2015  5 relations: 157881
Fri Apr 17 03:08:23 2015  6 relations: 137313
Fri Apr 17 03:08:23 2015  7 relations: 120320
Fri Apr 17 03:08:23 2015  8 relations: 101746
Fri Apr 17 03:08:23 2015  9 relations: 83924
Fri Apr 17 03:08:23 2015  10+ relations: 264524
Fri Apr 17 03:08:23 2015  heaviest cycle: 21 relations
Fri Apr 17 03:08:23 2015  commencing cycle optimization
Fri Apr 17 03:08:25 2015  start with 9119208 relations
Fri Apr 17 03:08:32 2015  pruned 187441 relations
Fri Apr 17 03:08:32 2015  memory use: 311.1 MB
Fri Apr 17 03:08:32 2015  distribution of cycle lengths:
Fri Apr 17 03:08:32 2015  1 relations: 203836
Fri Apr 17 03:08:32 2015  2 relations: 195502
Fri Apr 17 03:08:32 2015  3 relations: 195663
Fri Apr 17 03:08:32 2015  4 relations: 178498
Fri Apr 17 03:08:32 2015  5 relations: 161157
Fri Apr 17 03:08:32 2015  6 relations: 139111
Fri Apr 17 03:08:32 2015  7 relations: 121202
Fri Apr 17 03:08:32 2015  8 relations: 101386
Fri Apr 17 03:08:32 2015  9 relations: 82662
Fri Apr 17 03:08:32 2015  10+ relations: 247043
Fri Apr 17 03:08:32 2015  heaviest cycle: 20 relations
Fri Apr 17 03:08:33 2015  RelProcTime: 268
Fri Apr 17 03:08:34 2015  
Fri Apr 17 03:08:34 2015  commencing linear algebra
Fri Apr 17 03:08:34 2015  read 1626060 cycles
Fri Apr 17 03:08:36 2015  cycles contain 5261873 unique relations
Fri Apr 17 03:09:02 2015  read 5261873 relations
Fri Apr 17 03:09:06 2015  using 20 quadratic characters above 268435362
Fri Apr 17 03:09:23 2015  building initial matrix
Fri Apr 17 03:09:52 2015  memory use: 652.0 MB
Fri Apr 17 03:09:53 2015  read 1626060 cycles
Fri Apr 17 03:09:53 2015  matrix is 1626363 x 1626060 (489.0 MB) with weight 143071123 (87.99/col)
Fri Apr 17 03:09:53 2015  sparse part has weight 110299736 (67.83/col)
Fri Apr 17 03:10:03 2015  filtering completed in 2 passes
Fri Apr 17 03:10:03 2015  matrix is 1624472 x 1624480 (488.9 MB) with weight 143020277 (88.04/col)
Fri Apr 17 03:10:03 2015  sparse part has weight 110280462 (67.89/col)
Fri Apr 17 03:10:08 2015  matrix starts at (0, 0)
Fri Apr 17 03:10:08 2015  matrix is 1624472 x 1624480 (488.9 MB) with weight 143020277 (88.04/col)
Fri Apr 17 03:10:08 2015  sparse part has weight 110280462 (67.89/col)
Fri Apr 17 03:10:08 2015  saving the first 48 matrix rows for later
Fri Apr 17 03:10:08 2015  matrix includes 64 packed rows
Fri Apr 17 03:10:08 2015  matrix is 1624424 x 1624480 (462.8 MB) with weight 113935004 (70.14/col)
Fri Apr 17 03:10:08 2015  sparse part has weight 105080504 (64.69/col)
Fri Apr 17 03:10:08 2015  using block size 65536 for processor cache size 8192 kB
Fri Apr 17 03:10:11 2015  commencing Lanczos iteration (8 threads)
Fri Apr 17 03:10:11 2015  memory use: 456.8 MB
Fri Apr 17 03:10:16 2015  linear algebra at 0.1%, ETA 1h11m
Fri Apr 17 03:10:17 2015  checkpointing every 1460000 dimensions
Fri Apr 17 04:29:29 2015  lanczos halted after 25691 iterations (dim = 1624357)
Fri Apr 17 04:29:30 2015  recovered 29 nontrivial dependencies
Fri Apr 17 04:29:30 2015  BLanczosTime: 4856
Fri Apr 17 04:29:30 2015  
Fri Apr 17 04:29:30 2015  commencing square root phase
Fri Apr 17 04:29:30 2015  reading relations for dependency 1
Fri Apr 17 04:29:31 2015  read 811439 cycles
Fri Apr 17 04:29:31 2015  cycles contain 2628750 unique relations
Fri Apr 17 04:29:52 2015  read 2628750 relations
Fri Apr 17 04:29:59 2015  multiplying 2628750 relations
Fri Apr 17 04:31:14 2015  multiply complete, coefficients have about 87.87 million bits
Fri Apr 17 04:31:14 2015  initial square root is modulo 2029241
Fri Apr 17 04:32:39 2015  GCD is 1, no factor found
Fri Apr 17 04:32:39 2015  reading relations for dependency 2
Fri Apr 17 04:32:39 2015  read 812659 cycles
Fri Apr 17 04:32:40 2015  cycles contain 2629396 unique relations
Fri Apr 17 04:33:01 2015  read 2629396 relations
Fri Apr 17 04:33:08 2015  multiplying 2629396 relations
Fri Apr 17 04:34:22 2015  multiply complete, coefficients have about 87.89 million bits
Fri Apr 17 04:34:22 2015  initial square root is modulo 2035391
Fri Apr 17 04:35:46 2015  sqrtTime: 376
--
n: 1081393429090308733696549446920917946177975895657916460293874855539045732210665345880799075449892686148258213637114082879313191348852567277530130427604424632656430576192834736668317649
m: 5000000000000000000000000000000000000
deg: 5
c5: 2096
c0: -7
skew: 0.32
# Murphy_E = 4.092e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:01:22 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 22 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:48 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 48 秒 (日本時間)

655×10185-79

c169

name 名前Serge Batalov
date 日付January 9, 2015 03:47:08 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 8 秒 (日本時間)
composite number 合成数
3686385124674661993449143246760370280100241325062135004876845562107217999586977023009683661289399537757333294174935560470892694052005484280297602452703333564827453900927<169>
prime factors 素因数
641037458096869195603118322806219731<36>
5750654783292867560323344550971738509123571724603342821254630911265549997978144207742677928376184287668399212425834455446366949300517<133>
factorization results 素因数分解の結果
Input number is 3686385124674661993449143246760370280100241325062135004876845562107217999586977023009683661289399537757333294174935560470892694052005484280297602452703333564827453900927 (169 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=366683356
Step 1 took 10910ms
Step 2 took 8793ms
********** Factor found in step 2: 641037458096869195603118322806219731
Found probable prime factor of 36 digits: 641037458096869195603118322806219731
Probable prime cofactor 5750654783292867560323344550971738509123571724603342821254630911265549997978144207742677928376184287668399212425834455446366949300517 has 133 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:23 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 23 秒 (日本時間)

655×10186-79

c184

name 名前Ben Meekins
date 日付August 27, 2015 17:01:24 UTC 2015 年 8 月 28 日 (金) 2 時 1 分 24 秒 (日本時間)
composite number 合成数
1725777851551487462421516629384595522462777211301078413549068738653998666803674984652433610248222185335367379900352796418813349879722505460571904336576741784111777709273618784894305987<184>
prime factors 素因数
3558299366018325393495083142553449022588433<43>
485000747276248041487094487023149529930379786338805623711669840314595459868318305711301039427464650107037611845671795520227003468581577038739<141>
factorization results 素因数分解の結果
Number: 72777_186
N = 1725777851551487462421516629384595522462777211301078413549068738653998666803674984652433610248222185335367379900352796418813349879722505460571904336576741784111777709273618784894305987 (184 digits)
SNFS difficulty: 189 digits.
Divisors found:
r1=3558299366018325393495083142553449022588433 (pp43)
r2=485000747276248041487094487023149529930379786338805623711669840314595459868318305711301039427464650107037611845671795520227003468581577038739 (pp141)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 46.95 hours.
Factorization parameters were as follows:
n: 1725777851551487462421516629384595522462777211301078413549068738653998666803674984652433610248222185335367379900352796418813349879722505460571904336576741784111777709273618784894305987
m: 10000000000000000000000000000000000000
deg: 5
c5: 6550
c0: -7
skew: 0.25
# Murphy_E = 2.898e-11
type: snfs
lss: 1
rlim: 9800000
alim: 9800000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9800000/9800000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 23364413
Relations: 3909576 relations
Pruned matrix : 2415383 x 2415620
Polynomial selection time: 0.00 hours.
Total sieving time: 42.12 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 4.56 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,189,5,0,0,0,0,0,0,0,0,9800000,9800000,28,28,54,54,2.5,2.5,200000
total time: 46.95 hours.
x86_64
Linux-3.13.0-62-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 0.80GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:01:23 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 23 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:49 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 49 秒 (日本時間)
4511e613 / 3944KTakahashiJuly 25, 2015 07:27:12 UTC 2015 年 7 月 25 日 (土) 16 時 27 分 12 秒 (日本時間)

655×10187-79

c170

name 名前Jo Yeong Uk
date 日付June 24, 2017 11:06:31 UTC 2017 年 6 月 24 日 (土) 20 時 6 分 31 秒 (日本時間)
composite number 合成数
14365959664680745399356608916474177014224984492571410081493693580653267205846228195369589627384926670344319896051198936121256668120515677921066248936774159394989984362857<170>
prime factors 素因数
982945925850870009154783549967436818163964957<45>
14615208514390151011530355180434130831663698825676486657049552840092158066124393239674846350579984176957522987533613914304701<125>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM]
Input number is 14365959664680745399356608916474177014224984492571410081493693580653267205846228195369589627384926670344319896051198936121256668120515677921066248936774159394989984362857 (170 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1689579476
Step 1 took 29522ms
Step 2 took 10074ms
********** Factor found in step 2: 982945925850870009154783549967436818163964957
Found probable prime factor of 45 digits: 982945925850870009154783549967436818163964957
Probable prime cofactor 14615208514390151011530355180434130831663698825676486657049552840092158066124393239674846350579984176957522987533613914304701 has 125 digits
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:24 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 24 秒 (日本時間)
4511e6585 / 4409CypJanuary 30, 2015 13:55:36 UTC 2015 年 1 月 30 日 (金) 22 時 55 分 36 秒 (日本時間)

655×10190-79

c155

name 名前Cyp
date 日付July 23, 2015 05:32:11 UTC 2015 年 7 月 23 日 (木) 14 時 32 分 11 秒 (日本時間)
composite number 合成数
40248154316219992874617086384592515249310449747720155150238233267642738921413629667577859336509905668319436393461279482486566781425350155043874804082682523<155>
prime factors 素因数
12821828116188302636200191039964997636659<41>
composite cofactor 合成数の残り
3139033993553880245957032703572349672761601282068897634407699823876971616372835639716416827014326711213963830357497<115>
factorization results 素因数分解の結果
Run 433 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3071552776
Step 1 took 52749ms
Step 2 took 16661ms
********** Factor found in step 2: 12821828116188302636200191039964997636659
Found probable prime factor of 41 digits: 12821828116188302636200191039964997636659
Composite cofactor 3139033993553880245957032703572349672761601282068897634407699823876971616372835639716416827014326711213963830357497 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

c115

name 名前Dmitry Domanov
date 日付July 25, 2015 22:09:00 UTC 2015 年 7 月 26 日 (日) 7 時 9 分 0 秒 (日本時間)
composite number 合成数
3139033993553880245957032703572349672761601282068897634407699823876971616372835639716416827014326711213963830357497<115>
prime factors 素因数
90762571419596753665932391414918542391<38>
34585115256839497847907700345906676090445629557406134304832152384271688300367<77>
factorization results 素因数分解の結果
N=3139033993553880245957032703572349672761601282068897634407699823876971616372835639716416827014326711213963830357497
  ( 115 digits)
Divisors found:
 r1=90762571419596753665932391414918542391 (pp38)
 r2=34585115256839497847907700345906676090445629557406134304832152384271688300367 (pp77)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 20.37 hours.
Scaled time: 40.17 units (timescale=1.972).
Factorization parameters were as follows:
n: 3139033993553880245957032703572349672761601282068897634407699823876971616372835639716416827014326711213963830357497
skew: 103239.13
c0: 4842837757820187501025276125
c1: 969509180871453792974655
c2: -12153858926060790055
c3: -155101392842623
c4: 1009396802
c5: 6936
Y0: -13524988257692428963442
Y1: 524443644883
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 120000
type: gnfs
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3330001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 512206 x 512435
Total sieving time: 19.70 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 20.37 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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:24 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 24 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 05:32:11 UTC 2015 年 7 月 23 日 (木) 14 時 32 分 11 秒 (日本時間)

655×10193-79

c171

composite cofactor 合成数の残り
883753524605661618159755579460910149325222232113302698978172119021445469280965634559120205890538382275587160890609540850362538897264279457220812195789221152417959194211861<171>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:25 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 25 秒 (日本時間)
4511e6585 / 4409CypJuly 2, 2015 05:14:07 UTC 2015 年 7 月 2 日 (木) 14 時 14 分 7 秒 (日本時間)

655×10194-79

c162

composite cofactor 合成数の残り
176216927583087718321514047489091798810728157336121093104045860941256113418408545440529689662749923669260963571206366531538024185844800342598283030155113053314789<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:25 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 25 秒 (日本時間)
4511e6585 / 4409CypJune 14, 2015 07:23:19 UTC 2015 年 6 月 14 日 (日) 16 時 23 分 19 秒 (日本時間)

655×10196-79

c181

composite cofactor 合成数の残り
7587354248088038360916793531548157818795243973361579749093481183523790641147826393402209282657462769659585647685103799718300381684242881168422292738417770112037813393295661167324857<181>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:26 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 26 秒 (日本時間)
4511e6585 / 4409CypJune 17, 2015 10:58:03 UTC 2015 年 6 月 17 日 (水) 19 時 58 分 3 秒 (日本時間)

655×10197-79

c191

composite cofactor 合成数の残り
12472976004961211326893538868805693198225851586309746315105985267926578959026419119590844995799647255212334465872508780571878077570554820307896943716468721270612323374216707556576348482052331<191>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:26 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 26 秒 (日本時間)
4511e6585 / 4409CypJuly 5, 2015 06:21:51 UTC 2015 年 7 月 5 日 (日) 15 時 21 分 51 秒 (日本時間)

655×10198-79

c152

composite cofactor 合成数の残り
50533925542667436928234394545349195182310021584571318358188368736710449560425331765721630088143823276699205832756800706857559840454498360316887661015311<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:27 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 27 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 03:48:24 UTC 2015 年 7 月 23 日 (木) 12 時 48 分 24 秒 (日本時間)

655×10199-79

c183

name 名前Serge Batalov
date 日付January 9, 2015 02:48:22 UTC 2015 年 1 月 9 日 (金) 11 時 48 分 22 秒 (日本時間)
composite number 合成数
778623199381941999931594410600884102664452691763783718762045960422249005916060734527063750666434430218259633874494689828402044121949558407440358788622706761289282872419622623297594457<183>
prime factors 素因数
867229597573458813837178496309<30>
65987876653812022190705520566426207<35>
13605957002835555670549325662474366590466007035109784181315914398176640759842518886175368852411977120240000961907779339<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2624711761
Step 1 took 15131ms
Step 2 took 11677ms
********** Factor found in step 2: 65987876653812022190705520566426207
Found probable prime factor of 35 digits: 65987876653812022190705520566426207

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=648929621
Step 1 took 13746ms
Step 2 took 10031ms
********** Factor found in step 2: 867229597573458813837178496309
Found probable prime factor of 30 digits: 867229597573458813837178496309

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:27 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 27 秒 (日本時間)

655×10200-79

c196

composite cofactor 合成数の残り
2741548527899358130242139007225424392758511388539079853439745597690435808692148669614396386145142936596939670069074884749276178869006174427697559230737388238472196533284680264496230831186868258799<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:28 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 28 秒 (日本時間)
1CypJanuary 9, 2015 00:43:41 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 41 秒 (日本時間)
4511e6585 / 4409CypJune 2, 2015 05:48:32 UTC 2015 年 6 月 2 日 (火) 14 時 48 分 32 秒 (日本時間)

655×10201-79

c203

name 名前Serge Batalov
date 日付January 9, 2015 03:47:12 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 12 秒 (日本時間)
composite number 合成数
24259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259<203>
prime factors 素因数
886525405332206244756717747829<30>
27364426460140333942279607932768886155085102465322854328870942645932517571799911033386940141749495376400068807282194019384896285598181567158116785685373567174486663211354671<173>
factorization results 素因数分解の結果
Input number is 24259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259259 (203 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1579935876
Step 1 took 16174ms
Step 2 took 11157ms
********** Factor found in step 2: 886525405332206244756717747829
Found probable prime factor of 30 digits: 886525405332206244756717747829
Probable prime cofactor 27364426460140333942279607932768886155085102465322854328870942645932517571799911033386940141749495376400068807282194019384896285598181567158116785685373567174486663211354671 has 173 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:29 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 29 秒 (日本時間)

655×10202-79

c145

composite cofactor 合成数の残り
9396279990561337073905639192264204800512781601472285900736173153526291879869385467157369883983232445754310416860687583510387355727807679962897603<145>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:29 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 29 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 02:06:25 UTC 2015 年 7 月 23 日 (木) 11 時 6 分 25 秒 (日本時間)

655×10206-79

c171

name 名前Serge Batalov
date 日付January 9, 2015 03:47:15 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 15 秒 (日本時間)
composite number 合成数
330869960092057667929248022444182237198964986945490454952688197162919892300055406792841212523664219831075289975782224860541721059329726890083878919354256666527458793337389<171>
prime factors 素因数
762435365956580951300009027<27>
composite cofactor 合成数の残り
433964601939648216836439097492508023431749961824673913147739970200432429874600736422180654048897132860144008251531039877562317340579346385254607<144>
factorization results 素因数分解の結果
Input number is 330869960092057667929248022444182237198964986945490454952688197162919892300055406792841212523664219831075289975782224860541721059329726890083878919354256666527458793337389 (171 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2519449420
Step 1 took 11687ms
Step 2 took 10134ms
********** Factor found in step 2: 762435365956580951300009027
Found probable prime factor of 27 digits: 762435365956580951300009027
Composite cofactor 433964601939648216836439097492508023431749961824673913147739970200432429874600736422180654048897132860144008251531039877562317340579346385254607 has 144 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:01:30 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 30 秒 (日本時間)
1CypJanuary 9, 2015 01:06:59 UTC 2015 年 1 月 9 日 (金) 10 時 6 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:17 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 17 秒 (日本時間)
4511e6800 / 3944Dmitry DomanovFebruary 29, 2016 23:19:34 UTC 2016 年 3 月 1 日 (火) 8 時 19 分 34 秒 (日本時間)

655×10207-79

c182

name 名前Serge Batalov
date 日付January 9, 2015 02:46:16 UTC 2015 年 1 月 9 日 (金) 11 時 46 分 16 秒 (日本時間)
composite number 合成数
13004422108743258882733254791476509563549664471535519498346833857872839198912201925155565117027260231515076065561518121790014480428608135557636849850292011572652114008279470852279299<182>
prime factors 素因数
2973980597554209275387889593<28>
39357476231528203161811279226123<32>
composite cofactor 合成数の残り
111102974206753998134980282116803640695582936531902904601999188492648686333157950324044065243955331696045617416555320824241<123>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1321047012
Step 1 took 15016ms
Step 2 took 11281ms
********** Factor found in step 2: 39357476231528203161811279226123
Found probable prime factor of 32 digits: 39357476231528203161811279226123

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1017080430
Step 1 took 15061ms
Step 2 took 11264ms
********** Factor found in step 2: 2973980597554209275387889593
Found probable prime factor of 28 digits: 2973980597554209275387889593

c123

name 名前Erik Branger
date 日付January 30, 2015 15:16:15 UTC 2015 年 1 月 31 日 (土) 0 時 16 分 15 秒 (日本時間)
composite number 合成数
111102974206753998134980282116803640695582936531902904601999188492648686333157950324044065243955331696045617416555320824241<123>
prime factors 素因数
3719734884638424326403202367024692053006574275287<49>
29868519572612962770003149910051599436546907518779333959136523867803778743<74>
factorization results 素因数分解の結果
Number: 72777_207
N = 111102974206753998134980282116803640695582936531902904601999188492648686333157950324044065243955331696045617416555320824241 (123 digits)
Divisors found:
r1=3719734884638424326403202367024692053006574275287 (pp49)
r2=29868519572612962770003149910051599436546907518779333959136523867803778743 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 17.98 hours.
Factorization parameters were as follows:
# Murphy_E = 2.225e-10, selected by Erik Branger
# expecting poly E from 2.53e-010 to > 2.91e-010
n: 111102974206753998134980282116803640695582936531902904601999188492648686333157950324044065243955331696045617416555320824241
Y0: -365213150605997394977094
Y1: 3468713707129
c0: 2853110417643921931073457427
c1: -3073405963990216752153401
c2: 101187049337200750133
c3: 3314758155918329
c4: -10204337364
c5: 17100
skew: 76494.35
type: gnfs
# selected mechanically
rlim: 6000000
alim: 6000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10145728
Relations: 1354130 relations
Pruned matrix : 792503 x 792729
Polynomial selection time: 0.00 hours.
Total sieving time: 17.53 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.37 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: gnfs,122,5,65,2000,1e-05,0.28,250,20,50000,3600,6000000,6000000,27,27,52,52,2.5,2.5,100000
total time: 17.98 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 3.50GHz
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:30 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 30 秒 (日本時間)
4511e6585 / 4409CypJanuary 29, 2015 07:49:29 UTC 2015 年 1 月 29 日 (木) 16 時 49 分 29 秒 (日本時間)

655×10208-79

c190

composite cofactor 合成数の残り
5206027157481708788184163485424895018364943544510189928831233399485227593826831991818438284892053086808051779563946116126622985570349747052600653244916899843903907116416245707257444696698761<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6281CypJanuary 8, 2015 23:24:20 UTC 2015 年 1 月 9 日 (金) 8 時 24 分 20 秒 (日本時間)
4511e6591 / 4413CypMay 24, 2015 15:21:07 UTC 2015 年 5 月 25 日 (月) 0 時 21 分 7 秒 (日本時間)

655×10209-79

c198

name 名前Serge Batalov
date 日付January 9, 2015 03:47:19 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 19 秒 (日本時間)
composite number 合成数
329340723898626376301017111517494792758632766830973190195914850524698144461245785723163543014729763486451788097364065075750123356554755930810006169046979016089507508910637483472658232720608974782717<198>
prime factors 素因数
849907747822830334717220172604179151<36>
387501731502369982356943545298227224957784111514492527723757927244640850283397177357042052217823076150336306419620468208053823732050311925685838037086936340439667<162>
factorization results 素因数分解の結果
Input number is 329340723898626376301017111517494792758632766830973190195914850524698144461245785723163543014729763486451788097364065075750123356554755930810006169046979016089507508910637483472658232720608974782717 (198 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4179190671
Step 1 took 16168ms
Step 2 took 10849ms
********** Factor found in step 2: 849907747822830334717220172604179151
Found probable prime factor of 36 digits: 849907747822830334717220172604179151
Probable prime cofactor 387501731502369982356943545298227224957784111514492527723757927244640850283397177357042052217823076150336306419620468208053823732050311925685838037086936340439667 has 162 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:01:31 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 31 秒 (日本時間)
1CypJanuary 9, 2015 00:45:52 UTC 2015 年 1 月 9 日 (金) 9 時 45 分 52 秒 (日本時間)

655×10210-79

c200

composite cofactor 合成数の残り
12459356164527165486305389430912762992208741486773468133854420979727292153474645266741551159982884837621903446671574793015727565435782431419274007957108190235859851982721455906204062199418698184962791<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:32 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 32 秒 (日本時間)
4511e6585 / 4409CypJune 9, 2015 17:26:24 UTC 2015 年 6 月 10 日 (水) 2 時 26 分 24 秒 (日本時間)

655×10211-79

c212

name 名前Bob Backstrom
date 日付September 24, 2017 23:16:26 UTC 2017 年 9 月 25 日 (月) 8 時 16 分 26 秒 (日本時間)
composite number 合成数
42810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281<212>
prime factors 素因数
5529403649702496184349298305750550808024004187391412698310475044569547256725238947157771320037600606496057<106>
7742328147564926182765865931420806548186288333686445763970689852331406142775623049275402515864313497584233<106>
factorization results 素因数分解の結果
Number: n
N=42810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
  ( 212 digits)
SNFS difficulty: 213 digits.
Divisors found:

Mon Sep 25 09:05:46 2017  p106 factor: 5529403649702496184349298305750550808024004187391412698310475044569547256725238947157771320037600606496057
Mon Sep 25 09:05:46 2017  p106 factor: 7742328147564926182765865931420806548186288333686445763970689852331406142775623049275402515864313497584233
Mon Sep 25 09:05:46 2017  elapsed time 07:31:57 (Msieve 1.53 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.120).
Factorization parameters were as follows:
#
# 655x10^211-7 727(211_
#
n: 42810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281
m: 100000000000000000000000000000000000
deg: 6
c6: 6550
c0: -7
skew: 0.32
# Murphy_E = 2.269e-12
type: snfs
lss: 1
rlim: 26000000
alim: 26000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 26000000/26000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 89000000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 14501831 hash collisions in 66926142 relations (53586259 unique)
Msieve: matrix is 4361497 x 4361724 (1235.6 MB)

Sieving start time: 2017/09/22 21:41:47
Sieving end time  : 2017/09/25 01:32:00

Total sieving time: 51hrs 50min 13secs.

Total relation processing time: 6hrs 53min 38sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 18min 57sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:01:32 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 32 秒 (日本時間)
1CypJanuary 9, 2015 00:25:58 UTC 2015 年 1 月 9 日 (金) 9 時 25 分 58 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:05 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 5 秒 (日本時間)

655×10213-79

c176

composite cofactor 合成数の残り
75068110685719015228673408051493048692648950588699993218436594529923069133909157880743749103935461426411040284316807244097465278893332272864638557386476404897875375560514284609<176>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:33 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 33 秒 (日本時間)
4511e6585 / 4409CypJune 23, 2015 06:04:38 UTC 2015 年 6 月 23 日 (火) 15 時 4 分 38 秒 (日本時間)

655×10215-79

c194

name 名前Serge Batalov
date 日付January 9, 2015 03:47:23 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 23 秒 (日本時間)
composite number 合成数
55237915206595870475619256130005847634447794051372881424753864454514908843273291412018561271411406765180103034894840581656158316707216911481268193048893240038717642555830504600741826410901040061<194>
prime factors 素因数
1715326754899378214179994973237977<34>
composite cofactor 合成数の残り
32202561435495215437968965462823895406894763332185866344643139734041758684496757367531658135399710273211796895040197130593792106208517459749983805032636844386693<161>
factorization results 素因数分解の結果
Input number is 55237915206595870475619256130005847634447794051372881424753864454514908843273291412018561271411406765180103034894840581656158316707216911481268193048893240038717642555830504600741826410901040061 (194 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2380481312
Step 1 took 16305ms
Step 2 took 773ms
********** Factor found in step 2: 1715326754899378214179994973237977
Found probable prime factor of 34 digits: 1715326754899378214179994973237977
Composite cofactor 32202561435495215437968965462823895406894763332185866344643139734041758684496757367531658135399710273211796895040197130593792106208517459749983805032636844386693 has 161 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:34 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 34 秒 (日本時間)
4511e6585 / 4409CypFebruary 10, 2015 01:56:07 UTC 2015 年 2 月 10 日 (火) 10 時 56 分 7 秒 (日本時間)

655×10219-79

c190

composite cofactor 合成数の残り
2866247674188936771077688589746069128211375222269829432181571609137260848256224108720079226872451588852474602273559870665329687100416355832282512268662620436109163868966060537456494815739797<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:34 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 34 秒 (日本時間)
1CypJanuary 9, 2015 00:37:10 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 10 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 05:01:06 UTC 2015 年 7 月 23 日 (木) 14 時 1 分 6 秒 (日本時間)

655×10220-79

c213

name 名前Erik Branger
date 日付March 23, 2018 23:03:18 UTC 2018 年 3 月 24 日 (土) 8 時 3 分 18 秒 (日本時間)
composite number 合成数
208139408237966944409535890769437117442347554526117998372154780298523740350286474442918870604374775622599800474175833937075291114458997584598762251229002360617420204111315822955839036554982502609546798030721598523<213>
prime factors 素因数
11478304163250150310760039816091039066628330745359<50>
22148555984532798121204420200079436403205060136380863116634333020502738749<74>
818712025896286799098097799823454460099609383092879338720044291134289329822474383347079353<90>
factorization results 素因数分解の結果
Number: 72777_220
N = 208139408237966944409535890769437117442347554526117998372154780298523740350286474442918870604374775622599800474175833937075291114458997584598762251229002360617420204111315822955839036554982502609546798030721598523 (213 digits)
SNFS difficulty: 223 digits.
Divisors found:
r1=11478304163250150310760039816091039066628330745359 (pp50)
r2=22148555984532798121204420200079436403205060136380863116634333020502738749 (pp74)
r3=818712025896286799098097799823454460099609383092879338720044291134289329822474383347079353 (pp90)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 89.83 hours.
Factorization parameters were as follows:
n: 208139408237966944409535890769437117442347554526117998372154780298523740350286474442918870604374775622599800474175833937075291114458997584598762251229002360617420204111315822955839036554982502609546798030721598523
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 655
c0: -7
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
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: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30456154
Relations: 8846930 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 45.19 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7716124 x 7716349
Matrix solve time: 42.18 hours.
time per square root: 2.18 hours.
Prototype def-par.txt line would be: snfs,223,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 89.83 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.16299-SP0
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 KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:35 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 35 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 11:44:11 UTC 2015 年 6 月 6 日 (土) 20 時 44 分 11 秒 (日本時間)

655×10221-79

c162

composite cofactor 合成数の残り
184851075749255908514383647394844702268616787690620571128126645091025078909126954297254118838825644378673473200448357218425513804863986938962025481247356569556771<162>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:36 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 36 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 05:57:07 UTC 2015 年 5 月 21 日 (木) 14 時 57 分 7 秒 (日本時間)

655×10222-79

c211

name 名前Cyp
date 日付June 12, 2015 09:12:43 UTC 2015 年 6 月 12 日 (金) 18 時 12 分 43 秒 (日本時間)
composite number 合成数
7362332314935830925866660398059708253162743109406997290817013648786480720402718241640858172297421661619082946918057008242097928907875574280105159101113224136807873275877963944951212379468326725021387981555605419<211>
prime factors 素因数
741292302162960321347460113985551317<36>
composite cofactor 合成数の残り
9931753362949868062027483776834253175511808906412200750262678692856233993730554928356890607176291646653089470648197668817806145139613603032458821827821892629649337276169268607<175>
factorization results 素因数分解の結果
Run 360 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2342090377
Step 1 took 62928ms
Step 2 took 19359ms
********** Factor found in step 2: 741292302162960321347460113985551317
Found probable prime factor of 36 digits: 741292302162960321347460113985551317
Composite cofactor 9931753362949868062027483776834253175511808906412200750262678692856233993730554928356890607176291646653089470648197668817806145139613603032458821827821892629649337276169268607 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:36 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 36 秒 (日本時間)
1CypJanuary 9, 2015 00:56:47 UTC 2015 年 1 月 9 日 (金) 9 時 56 分 47 秒 (日本時間)
4511e6585 / 4409CypJune 12, 2015 09:12:43 UTC 2015 年 6 月 12 日 (金) 18 時 12 分 43 秒 (日本時間)

655×10223-79

c222

composite cofactor 合成数の残り
129428735155215681625071630406860710968838303001561048866757563182958879206433892544509652814827988222973106487244847550734088169620803446163574209101507696563716481909617246625960835457545398857865512676112000316161795799<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:01:37 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 37 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:50 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 50 秒 (日本時間)

655×10225-79

c187

composite cofactor 合成数の残り
3546335369293954862211101064712807508268355992037753899425464069212588423885566342667964542330388339925749745263914802490856190583472949804604188491745103732384758805633472393460175587919<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:37 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 37 秒 (日本時間)
4511e6585 / 4409CypJuly 3, 2015 07:38:05 UTC 2015 年 7 月 3 日 (金) 16 時 38 分 5 秒 (日本時間)

655×10226-79

c188

composite cofactor 合成数の残り
22784102412339878489520381055297770941223625991484420197869230788669091575230278105164938310191146347722354734110194843440246543536446146494555255751003206335367057410900055522865194262031<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:38 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 38 秒 (日本時間)
4511e6585 / 4409CypMay 18, 2015 17:53:56 UTC 2015 年 5 月 19 日 (火) 2 時 53 分 56 秒 (日本時間)

655×10227-79

c179

name 名前Serge Batalov
date 日付January 9, 2015 03:47:26 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 26 秒 (日本時間)
composite number 合成数
12363497883854977164901825154340605915338940914838881509852080826031210322150779485475596130739749420102662937317540477444922500050733810042078773765974140980782127563747808698277<179>
prime factors 素因数
1082717009429657199706031854192763<34>
11418955993281842411013549759042138053919735375144954567912346369732729081903253849438830300447632158154406272624463093757587502419459486467690079<146>
factorization results 素因数分解の結果
Input number is 12363497883854977164901825154340605915338940914838881509852080826031210322150779485475596130739749420102662937317540477444922500050733810042078773765974140980782127563747808698277 (179 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2634675042
Step 1 took 14992ms
Step 2 took 11260ms
********** Factor found in step 2: 1082717009429657199706031854192763
Found probable prime factor of 34 digits: 1082717009429657199706031854192763
Probable prime cofactor 11418955993281842411013549759042138053919735375144954567912346369732729081903253849438830300447632158154406272624463093757587502419459486467690079 has 146 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:01:39 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 39 秒 (日本時間)
1CypJanuary 9, 2015 01:07:28 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 28 秒 (日本時間)

655×10228-79

c205

name 名前Serge Batalov
date 日付January 9, 2015 03:47:30 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 30 秒 (日本時間)
composite number 合成数
1083936214708613021375703155092910010179062151532270193626194166309177703572206957403754696577780590653560358067611491595681696184196400386045303857394695717267397047963331886992189418097492968654477022673<205>
prime factors 素因数
1341327753161643641025754678557973<34>
composite cofactor 合成数の残り
808106901652983004709717305169304939915752597458142232586222026991237266194828251732026717350208676203098409341513735144452763561034800787270674760242786770239426577693901<171>
factorization results 素因数分解の結果
Input number is 1083936214708613021375703155092910010179062151532270193626194166309177703572206957403754696577780590653560358067611491595681696184196400386045303857394695717267397047963331886992189418097492968654477022673 (205 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2820379272
Step 1 took 17352ms
Step 2 took 12971ms
********** Factor found in step 2: 1341327753161643641025754678557973
Found probable prime factor of 34 digits: 1341327753161643641025754678557973
Composite cofactor 808106901652983004709717305169304939915752597458142232586222026991237266194828251732026717350208676203098409341513735144452763561034800787270674760242786770239426577693901 has 171 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:40 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 40 秒 (日本時間)
1CypJanuary 9, 2015 01:07:27 UTC 2015 年 1 月 9 日 (金) 10 時 7 分 27 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 01:07:24 UTC 2015 年 7 月 23 日 (木) 10 時 7 分 24 秒 (日本時間)

655×10229-79

c192

name 名前Cyp
date 日付January 27, 2015 01:01:05 UTC 2015 年 1 月 27 日 (火) 10 時 1 分 5 秒 (日本時間)
composite number 合成数
741161124678354846874464468171760774056650697965887302190490348946768554649459338713309245426466867779179693029969642168284158051080873670124747030655024771197502479738576575615688737410367897<192>
prime factors 素因数
1263127709910968748549081628705363463<37>
586766578599241884794633023115866340595879040849627092191602309642203844460600034584831871121321141745259917399295771741520256983542380650900067229708026719<156>
factorization results 素因数分解の結果
Run 480 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1818396918
Step 1 took 59930ms
Step 2 took 19107ms
********** Factor found in step 2: 1263127709910968748549081628705363463
Found probable prime factor of 37 digits: 1263127709910968748549081628705363463
Probable prime cofactor 586766578599241884794633023115866340595879040849627092191602309642203844460600034584831871121321141745259917399295771741520256983542380650900067229708026719 has 156 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 662Serge BatalovJanuary 9, 2015 00:01:41 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 41 秒 (日本時間)
4511e6480 / 4409CypJanuary 27, 2015 01:01:04 UTC 2015 年 1 月 27 日 (火) 10 時 1 分 4 秒 (日本時間)

655×10230-79

c220

composite cofactor 合成数の残り
3873417181509536819226096450231236072487902445537688183592027198441813332677505250263212360785272381230388715715947714624635188014075411360022746097451786698907349013437785674982736255894327189533546708233358298336257379<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:41 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 41 秒 (日本時間)
4511e6585 / 4409CypJanuary 25, 2015 02:25:10 UTC 2015 年 1 月 25 日 (日) 11 時 25 分 10 秒 (日本時間)

655×10231-79

c226

name 名前Cyp
date 日付February 9, 2015 16:11:00 UTC 2015 年 2 月 10 日 (火) 1 時 11 分 0 秒 (日本時間)
composite number 合成数
6828456465363457314020707028390543131986963965776526804553323192397849184250176630275997765979247518067183608968930491807223145419111214987050379632467869740614669711678694497536996603192150148229109664041297170286598240945829<226>
prime factors 素因数
8468048418776552411496697591569914569<37>
806379005843003878825130823515300057323547979660080288419886476589877587778865000083844658781368907459100844755495542128893993050205130400976355336045114642908935801684916122583944087756541<189>
factorization results 素因数分解の結果
Run 288 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2610457917
Step 1 took 79852ms
Step 2 took 23603ms
********** Factor found in step 2: 8468048418776552411496697591569914569
Found probable prime factor of 37 digits: 8468048418776552411496697591569914569
Probable prime cofactor 806379005843003878825130823515300057323547979660080288419886476589877587778865000083844658781368907459100844755495542128893993050205130400976355336045114642908935801684916122583944087756541 has 189 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 1324Serge BatalovJanuary 9, 2015 00:01:42 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 42 秒 (日本時間)
4511e6288 / 4409CypFebruary 9, 2015 16:10:59 UTC 2015 年 2 月 10 日 (火) 1 時 10 分 59 秒 (日本時間)

655×10233-79

c215

name 名前Cyp
date 日付January 27, 2015 21:37:33 UTC 2015 年 1 月 28 日 (水) 6 時 37 分 33 秒 (日本時間)
composite number 合成数
67956234931135841665402546418989543457053218725173745667938388917980113852043512812057910176313758462891131798927584166666432545190122710401188288026533816055448282045134254887233208230750275441846427426027982674357<215>
prime factors 素因数
7437675837757746117358097261818938423119<40>
composite cofactor 合成数の残り
9136756752176869537746048538184853445244244824420043041178595807621708558530310643403962439533284750554991444476019195778780030998019326973495310978565830857462331694556995003<175>
factorization results 素因数分解の結果
Run 179 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1120812271
Step 1 took 79198ms
Step 2 took 23017ms
********** Factor found in step 2: 7437675837757746117358097261818938423119
Found probable prime factor of 40 digits: 7437675837757746117358097261818938423119
Composite cofactor 9136756752176869537746048538184853445244244824420043041178595807621708558530310643403962439533284750554991444476019195778780030998019326973495310978565830857462331694556995003 has 175 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:42 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 42 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 21:37:32 UTC 2015 年 1 月 28 日 (水) 6 時 37 分 32 秒 (日本時間)

655×10235-79

c182

name 名前Serge Batalov
date 日付January 9, 2015 02:47:40 UTC 2015 年 1 月 9 日 (金) 11 時 47 分 40 秒 (日本時間)
composite number 合成数
31599332772731927152723093056045257762595629699993615024902878156920701169694727519944866289490828677427516606999464588189680038646360171209555100623881344417351291008020282431063977<182>
prime factors 素因数
172514355187467183893352942893867339<36>
799176537880015968755758966334183074157<39>
229197537791707505369706070492846235825473027747729133693680718712220713641864696979196242606459232594471399<108>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1272692496
Step 1 took 15069ms
Step 2 took 11267ms
********** Factor found in step 2: 172514355187467183893352942893867339
Found probable prime factor of 36 digits: 172514355187467183893352942893867339

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=863061136
Step 1 took 15073ms
Step 2 took 11294ms
********** Factor found in step 2: 799176537880015968755758966334183074157
Found probable prime factor of 39 digits: 799176537880015968755758966334183074157

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:43 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 43 秒 (日本時間)

655×10237-79

c228

composite cofactor 合成数の残り
586709992956640775407983931190482179324521819850469343444224643218684328960783238120835339343314794062975073074722210497407483625594811351607952059980585401820447147924349591068081053610093474781286335913988436795929901338808557<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:44 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 44 秒 (日本時間)
1CypJanuary 9, 2015 00:13:13 UTC 2015 年 1 月 9 日 (金) 9 時 13 分 13 秒 (日本時間)
4511e6585 / 4409CypJuly 1, 2015 05:25:17 UTC 2015 年 7 月 1 日 (水) 14 時 25 分 17 秒 (日本時間)

655×10238-79

c217

composite cofactor 合成数の残り
4918036696459880975941721250588098377600879302587118936253016157205539263323600157273359016427642932250901112336345893631072311703173525045032088549126790474693729452257600818854089013805775373130221579612378755401773<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:44 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 44 秒 (日本時間)
4511e6585 / 4409CypJune 8, 2015 05:56:12 UTC 2015 年 6 月 8 日 (月) 14 時 56 分 12 秒 (日本時間)

655×10239-79

c240

name 名前Serge Batalov
date 日付January 12, 2015 03:29:02 UTC 2015 年 1 月 12 日 (月) 12 時 29 分 2 秒 (日本時間)
composite number 合成数
559829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829059829<240>
prime factors 素因数
3506292812443565492502804514838136045345901<43>
159664092468908825190508417677864200018371907900839525997528974545297233362534737776244182068685737681001751632764665353035658802768225564358890557525052771207416203370672780508911219655876633698729<198>
factorization results 素因数分解の結果
Using B1=43000000, B2=582162027730, polynomial Dickson(30), sigma=4259367795
Step 1 took 328604ms
Step 2 took 179532ms
********** Factor found in step 2: 3506292812443565492502804514838136045345901
Found probable prime factor of 43 digits: 3506292812443565492502804514838136045345901
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:01:45 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 45 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 21:35:11 UTC 2015 年 1 月 10 日 (土) 6 時 35 分 11 秒 (日本時間)
4511e60 / 436--
5043e61000 / 7462Serge BatalovJanuary 11, 2015 21:31:16 UTC 2015 年 1 月 12 日 (月) 6 時 31 分 16 秒 (日本時間)

655×10240-79

c190

composite cofactor 合成数の残り
1209170740307227466645970713371084575545454771215590268900662960783860040858765223645675983682504968306196891429767549491845082744791165962498529795087097446045275091323631870895475487284361<190>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:45 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 45 秒 (日本時間)
4511e6585 / 4409CypFebruary 2, 2015 07:39:57 UTC 2015 年 2 月 2 日 (月) 16 時 39 分 57 秒 (日本時間)

655×10242-79

c193

composite cofactor 合成数の残り
3207352228678358950707972661840062121704119799688366837019494926278196011112329324091634229118699436085639630488270147218243953668347034378191789235554586750000014866950161433743940725366424753<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:46 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 46 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 02:37:21 UTC 2015 年 7 月 23 日 (木) 11 時 37 分 21 秒 (日本時間)

655×10243-79

c192

name 名前Serge Batalov
date 日付January 9, 2015 03:47:33 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 33 秒 (日本時間)
composite number 合成数
566948696354784485989592991672255094595595985356335516453757876513656314900677445586034487196309519930628906039288167283807390467431379325596368891816486563802101719500380748518599124249073643<192>
prime factors 素因数
6122669147287566205468329320482707641<37>
composite cofactor 合成数の残り
92598290503080869307793742004093896450326491166455479309923204403884508068545423237216352735028506845866422093858489283196748246546902053555130541751081923<155>
factorization results 素因数分解の結果
Input number is 566948696354784485989592991672255094595595985356335516453757876513656314900677445586034487196309519930628906039288167283807390467431379325596368891816486563802101719500380748518599124249073643 (192 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1937506202
Step 1 took 13735ms
Step 2 took 9874ms
********** Factor found in step 2: 6122669147287566205468329320482707641
Found probable prime factor of 37 digits: 6122669147287566205468329320482707641
Composite cofactor 92598290503080869307793742004093896450326491166455479309923204403884508068545423237216352735028506845866422093858489283196748246546902053555130541751081923 has 155 digits

c155

name 名前Serge Batalov
date 日付January 10, 2015 23:51:15 UTC 2015 年 1 月 11 日 (日) 8 時 51 分 15 秒 (日本時間)
composite number 合成数
92598290503080869307793742004093896450326491166455479309923204403884508068545423237216352735028506845866422093858489283196748246546902053555130541751081923<155>
prime factors 素因数
447174537229766504021355286746806627<36>
207074157389919015203551621340943893962243391228196077252912587550780397318159791566275544376341033998375270657933103649<120>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1581534093
Step 1 took 11722ms
Step 2 took 8540ms
********** Factor found in step 2: 447174537229766504021355286746806627
Found probable prime factor of 36 digits: 447174537229766504021355286746806627
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62400300Serge BatalovJanuary 9, 2015 00:01:46 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 46 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:21 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 21 秒 (日本時間)

655×10245-79

c187

composite cofactor 合成数の残り
4003754361303465096809431294511066310779053929772282376476725583378358990272133221473043673860136569831425221710974455242012045979602721806195181642191528088920030516626072369443848297117<187>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:47 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 47 秒 (日本時間)
1CypJanuary 9, 2015 00:44:42 UTC 2015 年 1 月 9 日 (金) 9 時 44 分 42 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 04:22:38 UTC 2015 年 5 月 27 日 (水) 13 時 22 分 38 秒 (日本時間)

655×10246-79

c233

name 名前Serge Batalov
date 日付January 9, 2015 03:47:37 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 37 秒 (日本時間)
composite number 合成数
19801515163691144125124531724214834888976880635330648126516985676632210346945944312997460035114173088594344406294512843854768147980641173089270224149789731015991877229383740258365883463773918454377367385562409852826462702539536540939<233>
prime factors 素因数
17534470263812121056598301775779<32>
composite cofactor 合成数の残り
1129290755053934036485778310816944560081287746654709208272377355916049513959969456398823273821025339419312622861723714144066377394614333071978885743392656002507359742762771824145529707574608668100146041<202>
factorization results 素因数分解の結果
Input number is 19801515163691144125124531724214834888976880635330648126516985676632210346945944312997460035114173088594344406294512843854768147980641173089270224149789731015991877229383740258365883463773918454377367385562409852826462702539536540939 (233 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=561005424
Step 1 took 21078ms
Step 2 took 13125ms
********** Factor found in step 2: 17534470263812121056598301775779
Found probable prime factor of 32 digits: 17534470263812121056598301775779
Composite cofactor 1129290755053934036485778310816944560081287746654709208272377355916049513959969456398823273821025339419312622861723714144066377394614333071978885743392656002507359742762771824145529707574608668100146041 has 202 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6301300Serge BatalovJanuary 9, 2015 00:01:48 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 48 秒 (日本時間)
1CypJanuary 9, 2015 00:48:51 UTC 2015 年 1 月 9 日 (金) 9 時 48 分 51 秒 (日本時間)
4511e6585 / 4409CypJuly 23, 2015 00:43:14 UTC 2015 年 7 月 23 日 (木) 9 時 43 分 14 秒 (日本時間)

655×10247-79

c184

name 名前Serge Batalov
date 日付January 9, 2015 03:47:41 UTC 2015 年 1 月 9 日 (金) 12 時 47 分 41 秒 (日本時間)
composite number 合成数
1424061248138040894889914705042062601806585890972911214306436138678522322357172341833445068617139716117146148457667371850780561298885464385264603127588618447030201639392733040857181571<184>
prime factors 素因数
121994175324060549449628611858805673<36>
11673190497457934925610282370507508280766644524934116308361459270225827187058986833991321385126711518962672438621142634901379760801206242432213930827<149>
factorization results 素因数分解の結果
Input number is 1424061248138040894889914705042062601806585890972911214306436138678522322357172341833445068617139716117146148457667371850780561298885464385264603127588618447030201639392733040857181571 (184 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=996561833
Step 1 took 15043ms
Step 2 took 11668ms
********** Factor found in step 2: 121994175324060549449628611858805673
Found probable prime factor of 36 digits: 121994175324060549449628611858805673
Probable prime cofactor 11673190497457934925610282370507508280766644524934116308361459270225827187058986833991321385126711518962672438621142634901379760801206242432213930827 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:01:48 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 48 秒 (日本時間)

655×10249-79

c223

composite cofactor 合成数の残り
5222186537511999625178247779225450133738882903771297890437185840993775144116599690619548898302653935916948312247903638391982380529721595827298288307855709748195559198648480968202898630477059809831109449871530939790768996823<223>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6300Serge BatalovJanuary 9, 2015 00:01:49 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 49 秒 (日本時間)
4511e6585 / 4409CypJune 9, 2015 05:17:07 UTC 2015 年 6 月 9 日 (火) 14 時 17 分 7 秒 (日本時間)

655×10250-79

c175

composite cofactor 合成数の残り
4791417289122102744307136434839677141983942821170080895103558042695004801941212032616824345800701168609279507654094237923171244694387384873222930290707073223813770431937303897<175>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62401300Serge BatalovJanuary 9, 2015 00:01:49 UTC 2015 年 1 月 9 日 (金) 9 時 1 分 49 秒 (日本時間)
1CypJanuary 9, 2015 00:19:42 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 42 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:25 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 25 秒 (日本時間)
4511e60--
5043e62000 / 7462Serge BatalovFebruary 5, 2015 02:52:56 UTC 2015 年 2 月 5 日 (木) 11 時 52 分 56 秒 (日本時間)