Table of contents 目次

7×10105-3679

c96

name 名前KTakahashi
date 日付January 8, 2015 13:31:13 UTC 2015 年 1 月 8 日 (木) 22 時 31 分 13 秒 (日本時間)
composite number 合成数
344612480064471410328671384638667603997055650071706622700852861336003972534739206648300514018811<96>
prime factors 素因数
3479954705385157955748323573154502019881<40>
99027863647532745919479991236899611855672982444185702531<56>
factorization results 素因数分解の結果
Input number is 344612480064471410328671384638667603997055650071706622700852861336003972534739206648300514018811 (96 digits)
Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=3243850479
Step 1 took 624ms
Step 2 took 437ms
********** Factor found in step 2: 3479954705385157955748323573154502019881
Found probable prime factor of 40 digits: 3479954705385157955748323573154502019881
Probable prime cofactor 99027863647532745919479991236899611855672982444185702531 has 56 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)

7×10115-3679

c113

name 名前KTakahashi
date 日付January 8, 2015 13:45:06 UTC 2015 年 1 月 8 日 (木) 22 時 45 分 6 秒 (日本時間)
composite number 合成数
78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563<113>
prime factors 素因数
3191820641275542665475263486850589<34>
24613980773477624806262570789635168297942027067387748416422266796288770485731967<80>
factorization results 素因数分解の結果
Number: 77737_115
N=78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563
  ( 113 digits)
SNFS difficulty: 115 digits.
Divisors found:
 r1=3191820641275542665475263486850589 (pp34)
 r2=24613980773477624806262570789635168297942027067387748416422266796288770485731967 (pp80)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.48 hours.
Scaled time: 2.58 units (timescale=1.742).
Factorization parameters were as follows:
n: 78563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563411896745230078563
m: 100000000000000000000000
c5: 7
c0: -367
skew: 2.21
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 : 83507 x 83732
Total sieving time: 1.44 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.02 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,115.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.48 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)

7×10116-3679

c105

name 名前KTakahashi
date 日付January 8, 2015 13:47:23 UTC 2015 年 1 月 8 日 (木) 22 時 47 分 23 秒 (日本時間)
composite number 合成数
268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571<105>
prime factors 素因数
3515698978142120037973498664359907753901451<43>
76287046982343216085363498099668403406406648670571042498883121<62>
factorization results 素因数分解の結果
Number: 77737_116
N=268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571
  ( 105 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=3515698978142120037973498664359907753901451 (pp43)
 r2=76287046982343216085363498099668403406406648670571042498883121 (pp62)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.86 hours.
Scaled time: 3.70 units (timescale=1.988).
Factorization parameters were as follows:
n: 268202293121303946850562305589532655682924164283131748567613869374280010251339757769025809920397801308571
m: 100000000000000000000000
c5: 70
c0: -367
skew: 1.39
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 : 104231 x 104457
Total sieving time: 1.81 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.00 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: 1.86 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)

7×10117-3679

c116

name 名前KTakahashi
date 日付January 8, 2015 13:51:50 UTC 2015 年 1 月 8 日 (木) 22 時 51 分 50 秒 (日本時間)
composite number 合成数
70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067<116>
prime factors 素因数
22164926681899701517606581044834833183<38>
3190043067672831003193674463964522780828992331527252893008398020708396967091749<79>
factorization results 素因数分解の結果
Number: 77737_117
N=70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067
  ( 116 digits)
SNFS difficulty: 117 digits.
Divisors found:
 r1=22164926681899701517606581044834833183 (pp38)
 r2=3190043067672831003193674463964522780828992331527252893008398020708396967091749 (pp79)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.95 hours.
Scaled time: 3.37 units (timescale=1.732).
Factorization parameters were as follows:
n: 70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067
m: 100000000000000000000000
c5: 700
c0: -367
skew: 0.88
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 : 121240 x 121487
Total sieving time: 1.86 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,117.000,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000
total time: 1.95 hours.
 --------- CPU info (if available) ----------

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)

7×10119-3679

c101

name 名前KTakahashi
date 日付January 8, 2015 13:58:43 UTC 2015 年 1 月 8 日 (木) 22 時 58 分 43 秒 (日本時間)
composite number 合成数
20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231<101>
prime factors 素因数
1163498636935258841301559273289171500109811062371<49>
17755914213582780435344572765135831615074072028711661<53>
factorization results 素因数分解の結果
Number: 77737_119
N=20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231
  ( 101 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=1163498636935258841301559273289171500109811062371 (pp49)
 r2=17755914213582780435344572765135831615074072028711661 (pp53)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 1.98 hours.
Scaled time: 3.34 units (timescale=1.687).
Factorization parameters were as follows:
n: 20658981985042953463256214876589023341189444591628173514720633336839895377202899666191302708846008231
m: 500000000000000000000000
c5: 112
c0: -1835
skew: 1.75
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, 450001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 110027 x 110252
Total sieving time: 1.91 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 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: 1.98 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)

7×10121-3679

c103

name 名前KTakahashi
date 日付January 8, 2015 14:02:53 UTC 2015 年 1 月 8 日 (木) 23 時 2 分 53 秒 (日本時間)
composite number 合成数
1924334513469296719469224090743409711272894987717837587492245827835327805586605771876850217527230738789<103>
prime factors 素因数
790446503089065127746610660061<30>
42849625866345192331598490127322807<35>
56814743760769056120287750285308312607<38>
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 1924334513469296719469224090743409711272894987717837587492245827835327805586605771876850217527230738789 (103 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2449200371
Step 1 took 2589ms
Step 2 took 1623ms
********** Factor found in step 2: 790446503089065127746610660061
Found probable prime factor of 30 digits: 790446503089065127746610660061
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=504320292
Step 1 took 1747ms
Step 2 took 1295ms
********** Factor found in step 2: 42849625866345192331598490127322807
Found probable prime factor of 35 digits: 42849625866345192331598490127322807
Probable prime cofactor 56814743760769056120287750285308312607 has 38 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)

7×10122-3679

c119

name 名前KTakahashi
date 日付January 8, 2015 14:09:05 UTC 2015 年 1 月 8 日 (木) 23 時 9 分 5 秒 (日本時間)
composite number 合成数
91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787<119>
prime factors 素因数
7425538085752627622802556542563972495142113281<46>
12308299077344648385780813310292034506334869416883643061111544601758874227<74>
factorization results 素因数分解の結果
Number: 77737_122
N=91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787
  ( 119 digits)
SNFS difficulty: 122 digits.
Divisors found:
 r1=7425538085752627622802556542563972495142113281 (pp46)
 r2=12308299077344648385780813310292034506334869416883643061111544601758874227 (pp74)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 2.80 hours.
Scaled time: 4.81 units (timescale=1.718).
Factorization parameters were as follows:
n: 91395743569656613134874004439221830526178352265308787047917482700091395743569656613134874004439221830526178352265308787
m: 1000000000000000000000000
c5: 700
c0: -367
skew: 0.88
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 : 97460 x 97685
Total sieving time: 2.74 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.01 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: 2.80 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 14:08:26 UTC 2015 年 1 月 8 日 (木) 23 時 8 分 26 秒 (日本時間)

7×10129-3679

c106

name 名前KTakahashi
date 日付January 8, 2015 14:53:51 UTC 2015 年 1 月 8 日 (木) 23 時 53 分 51 秒 (日本時間)
composite number 合成数
5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069<106>
prime factors 素因数
72741102403950817877049745956399331018381<41>
71301225856226493167646430725346998443329141343312120154545489449<65>
factorization results 素因数分解の結果
Number: 77737_129
N=5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069
  ( 106 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=72741102403950817877049745956399331018381 (pp41)
 r2=71301225856226493167646430725346998443329141343312120154545489449 (pp65)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 3.10 hours.
Scaled time: 5.38 units (timescale=1.737).
Factorization parameters were as follows:
n: 5186529771534997174869010593027390862411921320008985177948901097521937333476897932175983303651859260562069
m: 50000000000000000000000000
c5: 112
c0: -1835
skew: 1.75
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, 950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 117832 x 118080
Total sieving time: 3.03 hours.
Total relation processing time: 0.01 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,130.000,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000
total time: 3.10 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 14:53:20 UTC 2015 年 1 月 8 日 (木) 23 時 53 分 20 秒 (日本時間)

7×10134-3679

c121

name 名前KTakahashi
date 日付January 8, 2015 15:15:22 UTC 2015 年 1 月 9 日 (金) 0 時 15 分 22 秒 (日本時間)
composite number 合成数
1048713236509613041331284999779122882664078400746192584580113356560750313822186876044791464322662928380237127317565362217<121>
prime factors 素因数
13844632906177832746347027578296333<35>
75748721083218473183891385797235700689469290059995309572509526326984195484066466174349<86>
factorization results 素因数分解の結果
Input number is 1048713236509613041331284999779122882664078400746192584580113356560750313822186876044791464322662928380237127317565362217 (121 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=423481762
Step 1 took 3104ms
********** Factor found in step 1: 13844632906177832746347027578296333
Found probable prime factor of 35 digits: 13844632906177832746347027578296333
Probable prime cofactor 75748721083218473183891385797235700689469290059995309572509526326984195484066466174349 has 86 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)

7×10136-3679

c124

name 名前Serge Batalov
date 日付January 8, 2015 23:00:50 UTC 2015 年 1 月 9 日 (金) 8 時 0 分 50 秒 (日本時間)
composite number 合成数
4795002990858476425106143878846836510392818888112127960083250932404881302628550031984525646008519212781844196700438185493573<124>
prime factors 素因数
1372452637615126406850589185256425346271849<43>
3493747514078607923814125422308578486413220444218123504902456499722144595058218877<82>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2376942398
Step 1 took 7984ms
Step 2 took 7502ms
********** Factor found in step 2: 1372452637615126406850589185256425346271849
Found probable prime factor of 43 digits: 1372452637615126406850589185256425346271849
Probable prime cofactor 

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 15:15:51 UTC 2015 年 1 月 9 日 (金) 0 時 15 分 51 秒 (日本時間)

7×10137-3679

c132

name 名前Jo Yeong Uk
date 日付January 10, 2015 08:11:24 UTC 2015 年 1 月 10 日 (土) 17 時 11 分 24 秒 (日本時間)
composite number 合成数
157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907<132>
prime factors 素因数
52477762939554175767603068984298676598783749<44>
3002098981355019864414522758516419982026404158486161833713405459694635685504807034075343<88>
factorization results 素因数分解の結果
Number: 77737_137
N=157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907
  ( 132 digits)
SNFS difficulty: 137 digits.
Divisors found:
 r1=52477762939554175767603068984298676598783749
 r2=3002098981355019864414522758516419982026404158486161833713405459694635685504807034075343
Version: 
Total time: 1.84 hours.
Scaled time: 9.66 units (timescale=5.252).
Factorization parameters were as follows:
n: 157543438664625803949794056966357048797279629925961335689282927535194641542539316653084171633223570568995136183924312531072630000907
m: 1000000000000000000000000000
deg: 5
c5: 700
c0: -367
skew: 0.88
# Murphy_E = 3.272e-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, 1475001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 3631206
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 239523 x 239771
Total sieving time: 1.54 hours.
Total relation processing time: 0.23 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,137,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,48,48,2.3,2.3,25000
total time: 1.84 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 15:16:02 UTC 2015 年 1 月 9 日 (金) 0 時 16 分 2 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:31 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 31 秒 (日本時間)

7×10138-3679

c121

name 名前KTakahashi
date 日付January 8, 2015 15:18:20 UTC 2015 年 1 月 9 日 (金) 0 時 18 分 20 秒 (日本時間)
composite number 合成数
5392418550689870087304598350411187394868136464521280318975333236628899977334233594255498823939525735842158905740785276547<121>
prime factors 素因数
432208120577677223692240466711<30>
12476439691791341274631545544076017676828144182200583463559855501079872449777103083400661877<92>
factorization results 素因数分解の結果
GMP-ECM 6.4.4 [configured with GMP 6.0.0] [P+1]
Input number is 5392418550689870087304598350411187394868136464521280318975333236628899977334233594255498823939525735842158905740785276547 (121 digits)
Using B1=500000, B2=342112432, polynomial x^1, x0=2270268000
Step 1 took 312ms
Step 2 took 218ms
********** Factor found in step 2: 432208120577677223692240466711
Found probable prime factor of 30 digits: 432208120577677223692240466711
Probable prime cofactor 12476439691791341274631545544076017676828144182200583463559855501079872449777103083400661877 has 92 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)

7×10141-3679

c112

name 名前Jo Yeong Uk
date 日付January 13, 2015 13:23:36 UTC 2015 年 1 月 13 日 (火) 22 時 23 分 36 秒 (日本時間)
composite number 合成数
3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113<112>
prime factors 素因数
291929215602689847885187724703979050789662839<45>
12783044225644541562175189408320041868052099748536639463492095023167<68>
factorization results 素因数分解の結果
Number: 77737_141
N=3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113
  ( 112 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=291929215602689847885187724703979050789662839
 r2=12783044225644541562175189408320041868052099748536639463492095023167
Version: 
Total time: 2.59 hours.
Scaled time: 13.51 units (timescale=5.220).
Factorization parameters were as follows:
n: 3731744073806904867144012799828319701620795021712268335635260914561159190029076198040227553087437261401823991113
m: 10000000000000000000000000000
deg: 5
c5: 70
c0: -367
skew: 1.39
# Murphy_E = 2.412e-09
type: snfs
lss: 1
rlim: 2000000
alim: 2000000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2000000/2000000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1000000, 2000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4340943
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 295313 x 295561
Total sieving time: 2.30 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141,5,0,0,0,0,0,0,0,0,2000000,2000000,26,26,48,48,2.3,2.3,50000
total time: 2.59 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 15:18:56 UTC 2015 年 1 月 9 日 (金) 0 時 18 分 56 秒 (日本時間)

7×10142-3679

c134

name 名前Jo Yeong Uk
date 日付January 15, 2015 22:15:35 UTC 2015 年 1 月 16 日 (金) 7 時 15 分 35 秒 (日本時間)
composite number 合成数
21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627<134>
prime factors 素因数
1530159463338030427134723364934013179798700238267<49>
13913943206441938553836123799008140802269682010794152121809534196270079735893660160081<86>
factorization results 素因数分解の結果
Number: 77737_142
N=21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627
  ( 134 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=1530159463338030427134723364934013179798700238267
 r2=13913943206441938553836123799008140802269682010794152121809534196270079735893660160081
Version: 
Total time: 2.84 hours.
Scaled time: 14.91 units (timescale=5.256).
Factorization parameters were as follows:
n: 21290551869685031003418730670625414848874405583417542712578219803334494541322857824609290794322839914084605792288258509530420062019627
m: 10000000000000000000000000000
deg: 5
c5: 700
c0: -367
skew: 0.88
# Murphy_E = 2.141e-09
type: snfs
lss: 1
rlim: 2200000
alim: 2200000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [1100000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4305296
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 334574 x 334822
Total sieving time: 2.48 hours.
Total relation processing time: 0.20 hours.
Matrix solve time: 0.10 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,2200000,2200000,26,26,48,48,2.3,2.3,50000
total time: 2.84 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 15:19:08 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 8 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:31 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 31 秒 (日本時間)

7×10144-3679

c129

name 名前Cyp
date 日付January 17, 2015 03:25:41 UTC 2015 年 1 月 17 日 (土) 12 時 25 分 41 秒 (日本時間)
composite number 合成数
108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481<129>
prime factors 素因数
3060548431706767683542021570790318056773<40>
35557493038237968310752936456083675306305481842806633378463159869979108773380559014959597<89>
factorization results 素因数分解の結果
01/17/15 03:32:19 v1.34.3, 
01/17/15 03:32:19 v1.34.3, ****************************
01/17/15 03:32:19 v1.34.3, Starting factorization of 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481
01/17/15 03:32:19 v1.34.3, using pretesting plan: none
01/17/15 03:32:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 03:32:19 v1.34.3, ****************************
01/17/15 03:32:19 v1.34.3, nfs: commencing nfs on c129: 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481
01/17/15 03:32:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 03:32:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 03:33:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
[58 lines snipped]
01/17/15 04:20:07 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 04:20:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 04:21:46 v1.34.3, nfs: commencing msieve filtering
01/17/15 04:22:33 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 04:24:41 v1.34.3, nfs: commencing msieve sqrt
01/17/15 04:25:40 v1.34.3, prp40 = 3060548431706767683542021570790318056773
01/17/15 04:25:40 v1.34.3, prp89 = 35557493038237968310752936456083675306305481842806633378463159869979108773380559014959597
01/17/15 04:25:40 v1.34.3, NFS elapsed time = 3200.9344 seconds.
01/17/15 04:25:40 v1.34.3, 
01/17/15 04:25:40 v1.34.3, 
01/17/15 04:25:40 v1.34.3, Total factoring time = 3200.9350 seconds
--
Sat Jan 17 04:21:46 2015  
Sat Jan 17 04:21:46 2015  commencing relation filtering
Sat Jan 17 04:21:46 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 04:21:46 2015  commencing duplicate removal, pass 1
Sat Jan 17 04:21:58 2015  found 642857 hash collisions in 4481619 relations
Sat Jan 17 04:22:02 2015  added 183065 free relations
Sat Jan 17 04:22:02 2015  commencing duplicate removal, pass 2
Sat Jan 17 04:22:05 2015  found 487921 duplicates and 4176763 unique relations
Sat Jan 17 04:22:05 2015  memory use: 20.6 MB
Sat Jan 17 04:22:05 2015  reading ideals above 100000
Sat Jan 17 04:22:05 2015  commencing singleton removal, initial pass
Sat Jan 17 04:22:22 2015  memory use: 94.1 MB
Sat Jan 17 04:22:22 2015  reading all ideals from disk
Sat Jan 17 04:22:22 2015  memory use: 134.6 MB
Sat Jan 17 04:22:22 2015  keeping 4677949 ideals with weight <= 200, target excess is 21661
Sat Jan 17 04:22:22 2015  commencing in-memory singleton removal
Sat Jan 17 04:22:22 2015  begin with 4176763 relations and 4677949 unique ideals
Sat Jan 17 04:22:23 2015  reduce to 1640973 relations and 1481094 ideals in 13 passes
Sat Jan 17 04:22:23 2015  max relations containing the same ideal: 106
Sat Jan 17 04:22:24 2015  removing 335735 relations and 268359 ideals in 67376 cliques
Sat Jan 17 04:22:24 2015  commencing in-memory singleton removal
Sat Jan 17 04:22:24 2015  begin with 1305238 relations and 1481094 unique ideals
Sat Jan 17 04:22:24 2015  reduce to 1252157 relations and 1156970 ideals in 8 passes
Sat Jan 17 04:22:24 2015  max relations containing the same ideal: 87
Sat Jan 17 04:22:24 2015  removing 267041 relations and 199665 ideals in 67376 cliques
Sat Jan 17 04:22:24 2015  commencing in-memory singleton removal
Sat Jan 17 04:22:24 2015  begin with 985116 relations and 1156970 unique ideals
Sat Jan 17 04:22:24 2015  reduce to 942898 relations and 912916 ideals in 8 passes
Sat Jan 17 04:22:24 2015  max relations containing the same ideal: 72
Sat Jan 17 04:22:25 2015  relations with 0 large ideals: 505
Sat Jan 17 04:22:25 2015  relations with 1 large ideals: 150
Sat Jan 17 04:22:25 2015  relations with 2 large ideals: 2386
Sat Jan 17 04:22:25 2015  relations with 3 large ideals: 19004
Sat Jan 17 04:22:25 2015  relations with 4 large ideals: 81315
Sat Jan 17 04:22:25 2015  relations with 5 large ideals: 195690
Sat Jan 17 04:22:25 2015  relations with 6 large ideals: 283479
Sat Jan 17 04:22:25 2015  relations with 7+ large ideals: 360369
Sat Jan 17 04:22:25 2015  commencing 2-way merge
Sat Jan 17 04:22:25 2015  reduce to 576248 relation sets and 546266 unique ideals
Sat Jan 17 04:22:25 2015  commencing full merge
Sat Jan 17 04:22:31 2015  memory use: 72.9 MB
Sat Jan 17 04:22:31 2015  found 287899 cycles, need 280466
Sat Jan 17 04:22:31 2015  weight of 280466 cycles is about 19805671 (70.62/cycle)
Sat Jan 17 04:22:31 2015  distribution of cycle lengths:
Sat Jan 17 04:22:31 2015  1 relations: 23898
Sat Jan 17 04:22:31 2015  2 relations: 27562
Sat Jan 17 04:22:31 2015  3 relations: 28589
Sat Jan 17 04:22:31 2015  4 relations: 27439
Sat Jan 17 04:22:31 2015  5 relations: 26342
Sat Jan 17 04:22:31 2015  6 relations: 24286
Sat Jan 17 04:22:31 2015  7 relations: 21904
Sat Jan 17 04:22:31 2015  8 relations: 19448
Sat Jan 17 04:22:31 2015  9 relations: 16649
Sat Jan 17 04:22:31 2015  10+ relations: 64349
Sat Jan 17 04:22:31 2015  heaviest cycle: 22 relations
Sat Jan 17 04:22:31 2015  commencing cycle optimization
Sat Jan 17 04:22:31 2015  start with 1824786 relations
Sat Jan 17 04:22:33 2015  pruned 54143 relations
Sat Jan 17 04:22:33 2015  memory use: 56.4 MB
Sat Jan 17 04:22:33 2015  distribution of cycle lengths:
Sat Jan 17 04:22:33 2015  1 relations: 23898
Sat Jan 17 04:22:33 2015  2 relations: 28114
Sat Jan 17 04:22:33 2015  3 relations: 29620
Sat Jan 17 04:22:33 2015  4 relations: 28322
Sat Jan 17 04:22:33 2015  5 relations: 27223
Sat Jan 17 04:22:33 2015  6 relations: 24905
Sat Jan 17 04:22:33 2015  7 relations: 22500
Sat Jan 17 04:22:33 2015  8 relations: 19853
Sat Jan 17 04:22:33 2015  9 relations: 16767
Sat Jan 17 04:22:33 2015  10+ relations: 59264
Sat Jan 17 04:22:33 2015  heaviest cycle: 21 relations
Sat Jan 17 04:22:33 2015  RelProcTime: 47
Sat Jan 17 04:22:33 2015  
Sat Jan 17 04:22:33 2015  commencing linear algebra
Sat Jan 17 04:22:33 2015  read 280466 cycles
Sat Jan 17 04:22:33 2015  cycles contain 899002 unique relations
Sat Jan 17 04:22:38 2015  read 899002 relations
Sat Jan 17 04:22:38 2015  using 20 quadratic characters above 67104648
Sat Jan 17 04:22:41 2015  building initial matrix
Sat Jan 17 04:22:46 2015  memory use: 108.2 MB
Sat Jan 17 04:22:46 2015  read 280466 cycles
Sat Jan 17 04:22:46 2015  matrix is 280294 x 280466 (83.7 MB) with weight 25533751 (91.04/col)
Sat Jan 17 04:22:46 2015  sparse part has weight 18854826 (67.23/col)
Sat Jan 17 04:22:47 2015  filtering completed in 2 passes
Sat Jan 17 04:22:47 2015  matrix is 280121 x 280298 (83.7 MB) with weight 25525907 (91.07/col)
Sat Jan 17 04:22:47 2015  sparse part has weight 18851273 (67.25/col)
Sat Jan 17 04:22:48 2015  matrix starts at (0, 0)
Sat Jan 17 04:22:48 2015  matrix is 280121 x 280298 (83.7 MB) with weight 25525907 (91.07/col)
Sat Jan 17 04:22:48 2015  sparse part has weight 18851273 (67.25/col)
Sat Jan 17 04:22:48 2015  saving the first 48 matrix rows for later
Sat Jan 17 04:22:48 2015  matrix includes 64 packed rows
Sat Jan 17 04:22:48 2015  matrix is 280073 x 280298 (79.2 MB) with weight 20111644 (71.75/col)
Sat Jan 17 04:22:48 2015  sparse part has weight 17971586 (64.12/col)
Sat Jan 17 04:22:48 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 04:22:49 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 04:22:49 2015  memory use: 75.7 MB
Sat Jan 17 04:22:53 2015  linear algebra at 4.3%, ETA 0h 1m
Sat Jan 17 04:24:40 2015  lanczos halted after 4429 iterations (dim = 280073)
Sat Jan 17 04:24:41 2015  recovered 39 nontrivial dependencies
Sat Jan 17 04:24:41 2015  BLanczosTime: 128
Sat Jan 17 04:24:41 2015  
Sat Jan 17 04:24:41 2015  commencing square root phase
Sat Jan 17 04:24:41 2015  reading relations for dependency 1
Sat Jan 17 04:24:41 2015  read 140621 cycles
Sat Jan 17 04:24:41 2015  cycles contain 450176 unique relations
Sat Jan 17 04:24:46 2015  read 450176 relations
Sat Jan 17 04:24:46 2015  multiplying 450176 relations
Sat Jan 17 04:24:53 2015  multiply complete, coefficients have about 12.27 million bits
Sat Jan 17 04:24:53 2015  initial square root is modulo 11192021
Sat Jan 17 04:25:01 2015  Newton iteration failed to converge
Sat Jan 17 04:25:01 2015  algebraic square root failed
Sat Jan 17 04:25:01 2015  reading relations for dependency 2
Sat Jan 17 04:25:01 2015  read 139477 cycles
Sat Jan 17 04:25:02 2015  cycles contain 448310 unique relations
Sat Jan 17 04:25:05 2015  read 448310 relations
Sat Jan 17 04:25:06 2015  multiplying 448310 relations
Sat Jan 17 04:25:12 2015  multiply complete, coefficients have about 12.21 million bits
Sat Jan 17 04:25:12 2015  initial square root is modulo 10442891
Sat Jan 17 04:25:21 2015  GCD is 1, no factor found
Sat Jan 17 04:25:21 2015  reading relations for dependency 3
Sat Jan 17 04:25:21 2015  read 139868 cycles
Sat Jan 17 04:25:21 2015  cycles contain 448944 unique relations
Sat Jan 17 04:25:24 2015  read 448944 relations
Sat Jan 17 04:25:25 2015  multiplying 448944 relations
Sat Jan 17 04:25:31 2015  multiply complete, coefficients have about 12.23 million bits
Sat Jan 17 04:25:31 2015  initial square root is modulo 10685261
Sat Jan 17 04:25:40 2015  sqrtTime: 59
--
n: 108825429553603523905299627594879412167043438710401194996456195311305373555445300065252966681149693100954324283226605738147200481
m: 50000000000000000000000000000
deg: 5
c5: 112
c0: -1835
skew: 1.75
# Murphy_E = 1.888e-09
type: snfs
lss: 1
rlim: 1870000
alim: 1870000
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 15:19:28 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 28 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:32 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 32 秒 (日本時間)

7×10145-3679

c114

name 名前Jo Yeong Uk
date 日付January 18, 2015 00:29:26 UTC 2015 年 1 月 18 日 (日) 9 時 29 分 26 秒 (日本時間)
composite number 合成数
624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261<114>
prime factors 素因数
46069210778478341778267949667681755244586359<44>
13561724807649466942709558378211570910077883790915248339418764328412179<71>
factorization results 素因数分解の結果
Number: 77737_145
N=624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261
  ( 114 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=46069210778478341778267949667681755244586359
 r2=13561724807649466942709558378211570910077883790915248339418764328412179
Version: 
Total time: 2.68 hours.
Scaled time: 13.76 units (timescale=5.130).
Factorization parameters were as follows:
n: 624777958683321938883901509034653707960378321092808263595153683648271054276591908471782092595742781459560112866261
m: 100000000000000000000000000000
deg: 5
c5: 7
c0: -367
skew: 2.21
# Murphy_E = 2.254e-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, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 4640599
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 318043 x 318291
Total sieving time: 2.38 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.09 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,145,5,0,0,0,0,0,0,0,0,2400000,2400000,26,26,49,49,2.3,2.3,50000
total time: 2.68 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 15:19:47 UTC 2015 年 1 月 9 日 (金) 0 時 19 分 47 秒 (日本時間)

7×10146-3679

c136

name 名前Cyp
date 日付January 15, 2015 23:33:57 UTC 2015 年 1 月 16 日 (金) 8 時 33 分 57 秒 (日本時間)
composite number 合成数
2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349<136>
prime factors 素因数
2421532408544151120761083289678584465152674017322700383<55>
1177513226555825670652055763871233867355115348242081382228996808388053110431530403<82>
factorization results 素因数分解の結果
01/15/15 22:24:58 v1.34.3, 
01/15/15 22:24:58 v1.34.3, ****************************
01/15/15 22:24:58 v1.34.3, Starting factorization of 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349
01/15/15 22:24:58 v1.34.3, using pretesting plan: none
01/15/15 22:24:58 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 22:24:58 v1.34.3, ****************************
01/15/15 22:24:58 v1.34.3, nfs: commencing nfs on c136: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349
01/15/15 22:24:58 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 22:24:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 22:25:53 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
01/15/15 22:29:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 22:30:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 23:33:41 v1.34.3, 
01/15/15 23:33:41 v1.34.3, ****************************
01/15/15 23:33:41 v1.34.3, Starting factorization of 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349
01/15/15 23:33:41 v1.34.3, using pretesting plan: none
01/15/15 23:33:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 23:33:41 v1.34.3, ****************************
01/15/15 23:33:41 v1.34.3, nfs: previous data file found - commencing search for last special-q
01/15/15 23:33:42 v1.34.3, nfs: parsing special-q from .dat file
01/15/15 23:33:42 v1.34.3, nfs: commencing nfs on c136: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349
01/15/15 23:33:42 v1.34.3, nfs: resuming with filtering
01/15/15 23:33:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 23:34:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
[54 lines snipped]
01/16/15 00:26:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 00:27:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 00:28:51 v1.34.3, nfs: commencing msieve filtering
01/16/15 00:29:40 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 00:32:42 v1.34.3, nfs: commencing msieve sqrt
01/16/15 00:33:56 v1.34.3, prp55 = 2421532408544151120761083289678584465152674017322700383
01/16/15 00:33:56 v1.34.3, prp82 = 1177513226555825670652055763871233867355115348242081382228996808388053110431530403
01/16/15 00:33:56 v1.34.3, NFS elapsed time = 3614.5262 seconds.
01/16/15 00:33:56 v1.34.3, 
01/16/15 00:33:56 v1.34.3, 
01/16/15 00:33:56 v1.34.3, Total factoring time = 3614.5340 seconds
--
Fri Jan 16 00:28:51 2015  
Fri Jan 16 00:28:51 2015  commencing relation filtering
Fri Jan 16 00:28:51 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 00:28:51 2015  commencing duplicate removal, pass 1
Fri Jan 16 00:29:03 2015  found 691227 hash collisions in 4524852 relations
Fri Jan 16 00:29:07 2015  added 184209 free relations
Fri Jan 16 00:29:07 2015  commencing duplicate removal, pass 2
Fri Jan 16 00:29:10 2015  found 548124 duplicates and 4160937 unique relations
Fri Jan 16 00:29:10 2015  memory use: 20.6 MB
Fri Jan 16 00:29:10 2015  reading ideals above 100000
Fri Jan 16 00:29:10 2015  commencing singleton removal, initial pass
Fri Jan 16 00:29:27 2015  memory use: 94.1 MB
Fri Jan 16 00:29:27 2015  reading all ideals from disk
Fri Jan 16 00:29:27 2015  memory use: 135.9 MB
Fri Jan 16 00:29:27 2015  keeping 4747473 ideals with weight <= 200, target excess is 21739
Fri Jan 16 00:29:28 2015  commencing in-memory singleton removal
Fri Jan 16 00:29:28 2015  begin with 4160937 relations and 4747473 unique ideals
Fri Jan 16 00:29:29 2015  reduce to 1556053 relations and 1467399 ideals in 15 passes
Fri Jan 16 00:29:29 2015  max relations containing the same ideal: 105
Fri Jan 16 00:29:29 2015  removing 218864 relations and 187146 ideals in 31718 cliques
Fri Jan 16 00:29:29 2015  commencing in-memory singleton removal
Fri Jan 16 00:29:29 2015  begin with 1337189 relations and 1467399 unique ideals
Fri Jan 16 00:29:29 2015  reduce to 1313009 relations and 1255405 ideals in 8 passes
Fri Jan 16 00:29:29 2015  max relations containing the same ideal: 93
Fri Jan 16 00:29:30 2015  removing 167942 relations and 136224 ideals in 31718 cliques
Fri Jan 16 00:29:30 2015  commencing in-memory singleton removal
Fri Jan 16 00:29:30 2015  begin with 1145067 relations and 1255405 unique ideals
Fri Jan 16 00:29:30 2015  reduce to 1128677 relations and 1102420 ideals in 7 passes
Fri Jan 16 00:29:30 2015  max relations containing the same ideal: 83
Fri Jan 16 00:29:30 2015  relations with 0 large ideals: 479
Fri Jan 16 00:29:30 2015  relations with 1 large ideals: 113
Fri Jan 16 00:29:30 2015  relations with 2 large ideals: 1846
Fri Jan 16 00:29:30 2015  relations with 3 large ideals: 17132
Fri Jan 16 00:29:30 2015  relations with 4 large ideals: 78484
Fri Jan 16 00:29:30 2015  relations with 5 large ideals: 208105
Fri Jan 16 00:29:30 2015  relations with 6 large ideals: 332589
Fri Jan 16 00:29:30 2015  relations with 7+ large ideals: 489929
Fri Jan 16 00:29:30 2015  commencing 2-way merge
Fri Jan 16 00:29:30 2015  reduce to 682756 relation sets and 656498 unique ideals
Fri Jan 16 00:29:30 2015  commencing full merge
Fri Jan 16 00:29:37 2015  memory use: 86.2 MB
Fri Jan 16 00:29:38 2015  found 340266 cycles, need 336698
Fri Jan 16 00:29:38 2015  weight of 336698 cycles is about 23952880 (71.14/cycle)
Fri Jan 16 00:29:38 2015  distribution of cycle lengths:
Fri Jan 16 00:29:38 2015  1 relations: 32805
Fri Jan 16 00:29:38 2015  2 relations: 35420
Fri Jan 16 00:29:38 2015  3 relations: 35524
Fri Jan 16 00:29:38 2015  4 relations: 32942
Fri Jan 16 00:29:38 2015  5 relations: 30066
Fri Jan 16 00:29:38 2015  6 relations: 27154
Fri Jan 16 00:29:38 2015  7 relations: 24017
Fri Jan 16 00:29:38 2015  8 relations: 20953
Fri Jan 16 00:29:38 2015  9 relations: 18434
Fri Jan 16 00:29:38 2015  10+ relations: 79383
Fri Jan 16 00:29:38 2015  heaviest cycle: 24 relations
Fri Jan 16 00:29:38 2015  commencing cycle optimization
Fri Jan 16 00:29:38 2015  start with 2205406 relations
Fri Jan 16 00:29:40 2015  pruned 61082 relations
Fri Jan 16 00:29:40 2015  memory use: 68.6 MB
Fri Jan 16 00:29:40 2015  distribution of cycle lengths:
Fri Jan 16 00:29:40 2015  1 relations: 32805
Fri Jan 16 00:29:40 2015  2 relations: 36136
Fri Jan 16 00:29:40 2015  3 relations: 36751
Fri Jan 16 00:29:40 2015  4 relations: 33684
Fri Jan 16 00:29:40 2015  5 relations: 30942
Fri Jan 16 00:29:40 2015  6 relations: 27870
Fri Jan 16 00:29:40 2015  7 relations: 24436
Fri Jan 16 00:29:40 2015  8 relations: 21184
Fri Jan 16 00:29:40 2015  9 relations: 18476
Fri Jan 16 00:29:40 2015  10+ relations: 74414
Fri Jan 16 00:29:40 2015  heaviest cycle: 24 relations
Fri Jan 16 00:29:40 2015  RelProcTime: 49
Fri Jan 16 00:29:40 2015  
Fri Jan 16 00:29:40 2015  commencing linear algebra
Fri Jan 16 00:29:40 2015  read 336698 cycles
Fri Jan 16 00:29:41 2015  cycles contain 1102122 unique relations
Fri Jan 16 00:29:46 2015  read 1102122 relations
Fri Jan 16 00:29:46 2015  using 20 quadratic characters above 67108208
Fri Jan 16 00:29:49 2015  building initial matrix
Fri Jan 16 00:29:55 2015  memory use: 136.2 MB
Fri Jan 16 00:29:55 2015  read 336698 cycles
Fri Jan 16 00:29:55 2015  matrix is 336539 x 336698 (101.6 MB) with weight 30749547 (91.33/col)
Fri Jan 16 00:29:55 2015  sparse part has weight 22931774 (68.11/col)
Fri Jan 16 00:29:56 2015  filtering completed in 2 passes
Fri Jan 16 00:29:56 2015  matrix is 336398 x 336570 (101.6 MB) with weight 30744511 (91.35/col)
Fri Jan 16 00:29:56 2015  sparse part has weight 22929869 (68.13/col)
Fri Jan 16 00:29:57 2015  matrix starts at (0, 0)
Fri Jan 16 00:29:57 2015  matrix is 336398 x 336570 (101.6 MB) with weight 30744511 (91.35/col)
Fri Jan 16 00:29:57 2015  sparse part has weight 22929869 (68.13/col)
Fri Jan 16 00:29:57 2015  saving the first 48 matrix rows for later
Fri Jan 16 00:29:57 2015  matrix includes 64 packed rows
Fri Jan 16 00:29:57 2015  matrix is 336350 x 336570 (95.8 MB) with weight 24160725 (71.79/col)
Fri Jan 16 00:29:57 2015  sparse part has weight 21741109 (64.60/col)
Fri Jan 16 00:29:57 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 00:29:58 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 00:29:58 2015  memory use: 91.9 MB
Fri Jan 16 00:30:03 2015  linear algebra at 3.6%, ETA 0h 2m
Fri Jan 16 00:32:41 2015  lanczos halted after 5321 iterations (dim = 336344)
Fri Jan 16 00:32:42 2015  recovered 33 nontrivial dependencies
Fri Jan 16 00:32:42 2015  BLanczosTime: 182
Fri Jan 16 00:32:42 2015  
Fri Jan 16 00:32:42 2015  commencing square root phase
Fri Jan 16 00:32:42 2015  reading relations for dependency 1
Fri Jan 16 00:32:42 2015  read 168256 cycles
Fri Jan 16 00:32:42 2015  cycles contain 550178 unique relations
Fri Jan 16 00:32:46 2015  read 550178 relations
Fri Jan 16 00:32:47 2015  multiplying 550178 relations
Fri Jan 16 00:32:55 2015  multiply complete, coefficients have about 14.58 million bits
Fri Jan 16 00:32:55 2015  initial square root is modulo 239748731
Fri Jan 16 00:33:06 2015  GCD is 1, no factor found
Fri Jan 16 00:33:06 2015  reading relations for dependency 2
Fri Jan 16 00:33:06 2015  read 168018 cycles
Fri Jan 16 00:33:07 2015  cycles contain 550916 unique relations
Fri Jan 16 00:33:10 2015  read 550916 relations
Fri Jan 16 00:33:11 2015  multiplying 550916 relations
Fri Jan 16 00:33:20 2015  multiply complete, coefficients have about 14.60 million bits
Fri Jan 16 00:33:20 2015  initial square root is modulo 246057241
Fri Jan 16 00:33:31 2015  GCD is 1, no factor found
Fri Jan 16 00:33:31 2015  reading relations for dependency 3
Fri Jan 16 00:33:31 2015  read 168232 cycles
Fri Jan 16 00:33:31 2015  cycles contain 550818 unique relations
Fri Jan 16 00:33:35 2015  read 550818 relations
Fri Jan 16 00:33:36 2015  multiplying 550818 relations
Fri Jan 16 00:33:45 2015  multiply complete, coefficients have about 14.60 million bits
Fri Jan 16 00:33:45 2015  initial square root is modulo 245133661
Fri Jan 16 00:33:56 2015  sqrtTime: 74
--
n: 2851386439594323224623639445354607749543654310529733805934917224673684136902746115299947305359836656131751471602518096444235007324244349
m: 100000000000000000000000000000
deg: 5
c5: 70
c0: -367
skew: 1.39
# Murphy_E = 1.57e-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 15:20:08 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 8 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:32 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 32 秒 (日本時間)

7×10147-3679

c116

name 名前Jo Yeong Uk
date 日付January 18, 2015 11:56:06 UTC 2015 年 1 月 18 日 (日) 20 時 56 分 6 秒 (日本時間)
composite number 合成数
23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413<116>
prime factors 素因数
128708622837572716855344008155937<33>
181196138854724493784198128574057546119567016579688127885959405973641542029495121549<84>
factorization results 素因数分解の結果
Number: 77737_147
N=23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413
  ( 116 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=128708622837572716855344008155937
 r2=181196138854724493784198128574057546119567016579688127885959405973641542029495121549
Version: 
Total time: 4.43 hours.
Scaled time: 23.26 units (timescale=5.256).
Factorization parameters were as follows:
n: 23321505495477190088861461864681476695377791732144028846636134752324145684040884047313227346666609705622209160986413
m: 100000000000000000000000000000
deg: 5
c5: 700
c0: -367
skew: 0.88
# Murphy_E = 1.393e-09
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1400000, 2900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 5049074
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 414652 x 414900
Total sieving time: 3.88 hours.
Total relation processing time: 0.34 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,2800000,2800000,26,26,49,49,2.3,2.3,50000
total time: 4.43 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.. 6800.24 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 15:20:27 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 27 秒 (日本時間)

7×10148-3679

c134

name 名前KTakahashi
date 日付January 8, 2015 15:22:13 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 13 秒 (日本時間)
composite number 合成数
26512062909349007529487467957801518818020340997130000218086333944193355977658857067100161743100668003202343706278304667410061740310363<134>
prime factors 素因数
47373777592979395234023183101855089<35>
209390170461411931289955139623277293648246077<45>
2672693849968146176717585552616264994616559861169901671<55>
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 26512062909349007529487467957801518818020340997130000218086333944193355977658857067100161743100668003202343706278304667410061740310363 (134 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=297889136
Step 1 took 3089ms
Step 2 took 1996ms
********** Factor found in step 2: 47373777592979395234023183101855089
Found probable prime factor of 35 digits: 47373777592979395234023183101855089
Composite cofactor 559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667 has 99 digits

Number: 77737_148
N=559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667
  ( 99 digits)
Divisors found:
 r1=209390170461411931289955139623277293648246077 (pp45)
 r2=2672693849968146176717585552616264994616559861169901671 (pp55)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 4.95 hours.
Scaled time: 8.63 units (timescale=1.742).
Factorization parameters were as follows:
name: 77737_148
n: 559635820835997453588333215179180423279107158489228212818647470354216115026180444816109991701494667
skew: 1693.42
# norm 1.85e+013
c5: 406080
c4: 992535906
c3: -4762699395032
c2: -4879330670290331
c1: 4778450409100687552
c0: -611990452703381720495
# alpha -5.53
Y1: 26646458543
Y0: -4244802107159386634
# Murphy_E 4.39e-009
# M 372642400554741615283480340537062233233807747484474552478650043550670364524664450492602183717390675
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1300001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 221046 x 221294
Polynomial selection time: 0.33 hours.
Total sieving time: 4.37 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.16 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 4.95 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 15:20:58 UTC 2015 年 1 月 9 日 (金) 0 時 20 分 58 秒 (日本時間)

7×10149-3679

c127

name 名前Cyp
date 日付January 17, 2015 12:12:45 UTC 2015 年 1 月 17 日 (土) 21 時 12 分 45 秒 (日本時間)
composite number 合成数
1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491<127>
prime factors 素因数
54697073472766066068427214226342215745356043191<47>
29326094291794285306515421546242982013133269624165334549864470820928453819750301<80>
factorization results 素因数分解の結果
01/17/15 10:33:57 v1.34.3, 
01/17/15 10:33:57 v1.34.3, ****************************
01/17/15 10:33:57 v1.34.3, Starting factorization of 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491
01/17/15 10:33:57 v1.34.3, using pretesting plan: none
01/17/15 10:33:57 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 10:33:57 v1.34.3, ****************************
01/17/15 10:33:57 v1.34.3, nfs: commencing nfs on c127: 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491
01/17/15 10:33:57 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 10:33:57 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 10:34:55 v1.34.3, nfs: commencing lattice sieving with 8 threads
[112 lines snipped]
01/17/15 13:05:44 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 13:06:38 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 13:07:30 v1.34.3, nfs: commencing msieve filtering
01/17/15 13:09:11 v1.34.3, nfs: commencing msieve linear algebra
01/17/15 13:11:57 v1.34.3, nfs: commencing msieve sqrt
01/17/15 13:12:44 v1.34.3, prp47 = 54697073472766066068427214226342215745356043191
01/17/15 13:12:44 v1.34.3, prp80 = 29326094291794285306515421546242982013133269624165334549864470820928453819750301
01/17/15 13:12:44 v1.34.3, NFS elapsed time = 9527.6547 seconds.
01/17/15 13:12:44 v1.34.3, 
01/17/15 13:12:44 v1.34.3, 
01/17/15 13:12:44 v1.34.3, Total factoring time = 9527.6738 seconds
--
Sat Jan 17 13:07:30 2015  
Sat Jan 17 13:07:30 2015  commencing relation filtering
Sat Jan 17 13:07:30 2015  estimated available RAM is 15987.3 MB
Sat Jan 17 13:07:30 2015  commencing duplicate removal, pass 1
Sat Jan 17 13:07:59 2015  found 1678342 hash collisions in 10081518 relations
Sat Jan 17 13:08:06 2015  added 346286 free relations
Sat Jan 17 13:08:06 2015  commencing duplicate removal, pass 2
Sat Jan 17 13:08:14 2015  found 1352067 duplicates and 9075737 unique relations
Sat Jan 17 13:08:14 2015  memory use: 41.3 MB
Sat Jan 17 13:08:14 2015  reading ideals above 100000
Sat Jan 17 13:08:14 2015  commencing singleton removal, initial pass
Sat Jan 17 13:08:53 2015  memory use: 188.2 MB
Sat Jan 17 13:08:53 2015  reading all ideals from disk
Sat Jan 17 13:08:53 2015  memory use: 299.8 MB
Sat Jan 17 13:08:53 2015  keeping 8973728 ideals with weight <= 200, target excess is 46849
Sat Jan 17 13:08:53 2015  commencing in-memory singleton removal
Sat Jan 17 13:08:54 2015  begin with 9075737 relations and 8973728 unique ideals
Sat Jan 17 13:08:57 2015  reduce to 4545514 relations and 3333585 ideals in 10 passes
Sat Jan 17 13:08:57 2015  max relations containing the same ideal: 127
Sat Jan 17 13:08:59 2015  removing 1171889 relations and 771889 ideals in 400000 cliques
Sat Jan 17 13:08:59 2015  commencing in-memory singleton removal
Sat Jan 17 13:08:59 2015  begin with 3373625 relations and 3333585 unique ideals
Sat Jan 17 13:09:00 2015  reduce to 3207721 relations and 2379420 ideals in 7 passes
Sat Jan 17 13:09:00 2015  max relations containing the same ideal: 100
Sat Jan 17 13:09:00 2015  removing 1009314 relations and 609314 ideals in 400000 cliques
Sat Jan 17 13:09:01 2015  commencing in-memory singleton removal
Sat Jan 17 13:09:01 2015  begin with 2198407 relations and 2379420 unique ideals
Sat Jan 17 13:09:01 2015  reduce to 2069694 relations and 1627354 ideals in 7 passes
Sat Jan 17 13:09:01 2015  max relations containing the same ideal: 73
Sat Jan 17 13:09:02 2015  removing 924447 relations and 536452 ideals in 387995 cliques
Sat Jan 17 13:09:02 2015  commencing in-memory singleton removal
Sat Jan 17 13:09:02 2015  begin with 1145247 relations and 1627354 unique ideals
Sat Jan 17 13:09:02 2015  reduce to 1011794 relations and 939581 ideals in 9 passes
Sat Jan 17 13:09:02 2015  max relations containing the same ideal: 43
Sat Jan 17 13:09:02 2015  removing 81724 relations and 63856 ideals in 17868 cliques
Sat Jan 17 13:09:02 2015  commencing in-memory singleton removal
Sat Jan 17 13:09:02 2015  begin with 930070 relations and 939581 unique ideals
Sat Jan 17 13:09:02 2015  reduce to 923748 relations and 869262 ideals in 6 passes
Sat Jan 17 13:09:02 2015  max relations containing the same ideal: 41
Sat Jan 17 13:09:03 2015  relations with 0 large ideals: 1073
Sat Jan 17 13:09:03 2015  relations with 1 large ideals: 1138
Sat Jan 17 13:09:03 2015  relations with 2 large ideals: 14376
Sat Jan 17 13:09:03 2015  relations with 3 large ideals: 70402
Sat Jan 17 13:09:03 2015  relations with 4 large ideals: 177153
Sat Jan 17 13:09:03 2015  relations with 5 large ideals: 258771
Sat Jan 17 13:09:03 2015  relations with 6 large ideals: 237545
Sat Jan 17 13:09:03 2015  relations with 7+ large ideals: 163290
Sat Jan 17 13:09:03 2015  commencing 2-way merge
Sat Jan 17 13:09:03 2015  reduce to 666131 relation sets and 611645 unique ideals
Sat Jan 17 13:09:03 2015  commencing full merge
Sat Jan 17 13:09:08 2015  memory use: 72.7 MB
Sat Jan 17 13:09:08 2015  found 326844 cycles, need 319845
Sat Jan 17 13:09:09 2015  weight of 319845 cycles is about 22405219 (70.05/cycle)
Sat Jan 17 13:09:09 2015  distribution of cycle lengths:
Sat Jan 17 13:09:09 2015  1 relations: 18867
Sat Jan 17 13:09:09 2015  2 relations: 31947
Sat Jan 17 13:09:09 2015  3 relations: 38683
Sat Jan 17 13:09:09 2015  4 relations: 37421
Sat Jan 17 13:09:09 2015  5 relations: 34851
Sat Jan 17 13:09:09 2015  6 relations: 29602
Sat Jan 17 13:09:09 2015  7 relations: 25106
Sat Jan 17 13:09:09 2015  8 relations: 21233
Sat Jan 17 13:09:09 2015  9 relations: 17489
Sat Jan 17 13:09:09 2015  10+ relations: 64646
Sat Jan 17 13:09:09 2015  heaviest cycle: 21 relations
Sat Jan 17 13:09:09 2015  commencing cycle optimization
Sat Jan 17 13:09:09 2015  start with 2019747 relations
Sat Jan 17 13:09:11 2015  pruned 81499 relations
Sat Jan 17 13:09:11 2015  memory use: 58.9 MB
Sat Jan 17 13:09:11 2015  distribution of cycle lengths:
Sat Jan 17 13:09:11 2015  1 relations: 18867
Sat Jan 17 13:09:11 2015  2 relations: 32835
Sat Jan 17 13:09:11 2015  3 relations: 40480
Sat Jan 17 13:09:11 2015  4 relations: 39054
Sat Jan 17 13:09:11 2015  5 relations: 36555
Sat Jan 17 13:09:11 2015  6 relations: 30678
Sat Jan 17 13:09:11 2015  7 relations: 25839
Sat Jan 17 13:09:11 2015  8 relations: 21158
Sat Jan 17 13:09:11 2015  9 relations: 17311
Sat Jan 17 13:09:11 2015  10+ relations: 57068
Sat Jan 17 13:09:11 2015  heaviest cycle: 20 relations
Sat Jan 17 13:09:11 2015  RelProcTime: 101
Sat Jan 17 13:09:11 2015  
Sat Jan 17 13:09:11 2015  commencing linear algebra
Sat Jan 17 13:09:11 2015  read 319845 cycles
Sat Jan 17 13:09:11 2015  cycles contain 894405 unique relations
Sat Jan 17 13:09:19 2015  read 894405 relations
Sat Jan 17 13:09:20 2015  using 20 quadratic characters above 134190342
Sat Jan 17 13:09:23 2015  building initial matrix
Sat Jan 17 13:09:28 2015  memory use: 110.7 MB
Sat Jan 17 13:09:28 2015  read 319845 cycles
Sat Jan 17 13:09:28 2015  matrix is 319668 x 319845 (94.1 MB) with weight 28782867 (89.99/col)
Sat Jan 17 13:09:28 2015  sparse part has weight 21145409 (66.11/col)
Sat Jan 17 13:09:29 2015  filtering completed in 2 passes
Sat Jan 17 13:09:29 2015  matrix is 319513 x 319690 (94.1 MB) with weight 28775719 (90.01/col)
Sat Jan 17 13:09:29 2015  sparse part has weight 21142118 (66.13/col)
Sat Jan 17 13:09:29 2015  matrix starts at (0, 0)
Sat Jan 17 13:09:29 2015  matrix is 319513 x 319690 (94.1 MB) with weight 28775719 (90.01/col)
Sat Jan 17 13:09:29 2015  sparse part has weight 21142118 (66.13/col)
Sat Jan 17 13:09:29 2015  saving the first 48 matrix rows for later
Sat Jan 17 13:09:30 2015  matrix includes 64 packed rows
Sat Jan 17 13:09:30 2015  matrix is 319465 x 319690 (89.1 MB) with weight 22593301 (70.67/col)
Sat Jan 17 13:09:30 2015  sparse part has weight 20166163 (63.08/col)
Sat Jan 17 13:09:30 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 17 13:09:30 2015  commencing Lanczos iteration (8 threads)
Sat Jan 17 13:09:30 2015  memory use: 85.4 MB
Sat Jan 17 13:09:36 2015  linear algebra at 3.8%, ETA 0h 2m
Sat Jan 17 13:11:57 2015  lanczos halted after 5055 iterations (dim = 319463)
Sat Jan 17 13:11:57 2015  recovered 38 nontrivial dependencies
Sat Jan 17 13:11:57 2015  BLanczosTime: 166
Sat Jan 17 13:11:57 2015  
Sat Jan 17 13:11:57 2015  commencing square root phase
Sat Jan 17 13:11:57 2015  reading relations for dependency 1
Sat Jan 17 13:11:57 2015  read 160164 cycles
Sat Jan 17 13:11:57 2015  cycles contain 447574 unique relations
Sat Jan 17 13:12:04 2015  read 447574 relations
Sat Jan 17 13:12:05 2015  multiplying 447574 relations
Sat Jan 17 13:12:12 2015  multiply complete, coefficients have about 12.32 million bits
Sat Jan 17 13:12:12 2015  initial square root is modulo 11958521
Sat Jan 17 13:12:21 2015  GCD is N, no factor found
Sat Jan 17 13:12:21 2015  reading relations for dependency 2
Sat Jan 17 13:12:21 2015  read 159703 cycles
Sat Jan 17 13:12:21 2015  cycles contain 446916 unique relations
Sat Jan 17 13:12:28 2015  read 446916 relations
Sat Jan 17 13:12:29 2015  multiplying 446916 relations
Sat Jan 17 13:12:35 2015  multiply complete, coefficients have about 12.30 million bits
Sat Jan 17 13:12:35 2015  initial square root is modulo 11693441
Sat Jan 17 13:12:44 2015  sqrtTime: 47
--
n: 1604051534147537555876644670110044441466911902461023828333570593191260630250713242716200605784598923579215727251369280991250491
m: 500000000000000000000000000000
deg: 5
c5: 112
c0: -1835
skew: 1.75
# Murphy_E = 1.224e-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 15:22:35 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 35 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:33 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 33 秒 (日本時間)

7×10150-3679

c135

name 名前Cyp
date 日付January 16, 2015 02:46:29 UTC 2015 年 1 月 16 日 (金) 11 時 46 分 29 秒 (日本時間)
composite number 合成数
350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729<135>
prime factors 素因数
49114528673122746327104449868823131581418570422910779996314301<62>
7143627818445918495482867110500170885277756254262397869484044216062841029<73>
factorization results 素因数分解の結果
01/16/15 02:07:26 v1.34.3, 
01/16/15 02:07:26 v1.34.3, ****************************
01/16/15 02:07:26 v1.34.3, Starting factorization of 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729
01/16/15 02:07:26 v1.34.3, using pretesting plan: none
01/16/15 02:07:26 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/16/15 02:07:26 v1.34.3, ****************************
01/16/15 02:07:26 v1.34.3, nfs: commencing nfs on c135: 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729
01/16/15 02:07:26 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/16/15 02:07:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 02:08:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[100 lines snipped]
01/16/15 03:40:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 03:41:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/16/15 03:42:06 v1.34.3, nfs: commencing msieve filtering
01/16/15 03:43:42 v1.34.3, nfs: commencing msieve linear algebra
01/16/15 03:46:08 v1.34.3, nfs: commencing msieve sqrt
01/16/15 03:46:28 v1.34.3, prp62 = 49114528673122746327104449868823131581418570422910779996314301
01/16/15 03:46:28 v1.34.3, prp73 = 7143627818445918495482867110500170885277756254262397869484044216062841029
01/16/15 03:46:28 v1.34.3, NFS elapsed time = 5941.8736 seconds.
01/16/15 03:46:28 v1.34.3, 
01/16/15 03:46:28 v1.34.3, 
01/16/15 03:46:28 v1.34.3, Total factoring time = 5941.8742 seconds
--
Fri Jan 16 03:42:06 2015  
Fri Jan 16 03:42:06 2015  commencing relation filtering
Fri Jan 16 03:42:06 2015  estimated available RAM is 15987.3 MB
Fri Jan 16 03:42:06 2015  commencing duplicate removal, pass 1
Fri Jan 16 03:42:32 2015  found 1630750 hash collisions in 10116156 relations
Fri Jan 16 03:42:40 2015  added 347381 free relations
Fri Jan 16 03:42:40 2015  commencing duplicate removal, pass 2
Fri Jan 16 03:42:47 2015  found 1279690 duplicates and 9183847 unique relations
Fri Jan 16 03:42:47 2015  memory use: 41.3 MB
Fri Jan 16 03:42:47 2015  reading ideals above 100000
Fri Jan 16 03:42:47 2015  commencing singleton removal, initial pass
Fri Jan 16 03:43:26 2015  memory use: 188.2 MB
Fri Jan 16 03:43:26 2015  reading all ideals from disk
Fri Jan 16 03:43:26 2015  memory use: 303.1 MB
Fri Jan 16 03:43:26 2015  keeping 9016603 ideals with weight <= 200, target excess is 47553
Fri Jan 16 03:43:27 2015  commencing in-memory singleton removal
Fri Jan 16 03:43:27 2015  begin with 9183847 relations and 9016603 unique ideals
Fri Jan 16 03:43:29 2015  reduce to 4645815 relations and 3374290 ideals in 10 passes
Fri Jan 16 03:43:29 2015  max relations containing the same ideal: 131
Fri Jan 16 03:43:30 2015  removing 1166178 relations and 766178 ideals in 400000 cliques
Fri Jan 16 03:43:30 2015  commencing in-memory singleton removal
Fri Jan 16 03:43:30 2015  begin with 3479637 relations and 3374290 unique ideals
Fri Jan 16 03:43:31 2015  reduce to 3320063 relations and 2432981 ideals in 7 passes
Fri Jan 16 03:43:31 2015  max relations containing the same ideal: 103
Fri Jan 16 03:43:32 2015  removing 1003904 relations and 603904 ideals in 400000 cliques
Fri Jan 16 03:43:32 2015  commencing in-memory singleton removal
Fri Jan 16 03:43:32 2015  begin with 2316159 relations and 2432981 unique ideals
Fri Jan 16 03:43:33 2015  reduce to 2193349 relations and 1693322 ideals in 8 passes
Fri Jan 16 03:43:33 2015  max relations containing the same ideal: 73
Fri Jan 16 03:43:33 2015  removing 950181 relations and 550181 ideals in 400000 cliques
Fri Jan 16 03:43:33 2015  commencing in-memory singleton removal
Fri Jan 16 03:43:33 2015  begin with 1243168 relations and 1693322 unique ideals
Fri Jan 16 03:43:34 2015  reduce to 1111981 relations and 995000 ideals in 9 passes
Fri Jan 16 03:43:34 2015  max relations containing the same ideal: 49
Fri Jan 16 03:43:34 2015  removing 196889 relations and 135070 ideals in 61819 cliques
Fri Jan 16 03:43:34 2015  commencing in-memory singleton removal
Fri Jan 16 03:43:34 2015  begin with 915092 relations and 995000 unique ideals
Fri Jan 16 03:43:34 2015  reduce to 880538 relations and 823159 ideals in 7 passes
Fri Jan 16 03:43:34 2015  max relations containing the same ideal: 40
Fri Jan 16 03:43:34 2015  relations with 0 large ideals: 1105
Fri Jan 16 03:43:34 2015  relations with 1 large ideals: 1205
Fri Jan 16 03:43:34 2015  relations with 2 large ideals: 14650
Fri Jan 16 03:43:34 2015  relations with 3 large ideals: 73151
Fri Jan 16 03:43:34 2015  relations with 4 large ideals: 180331
Fri Jan 16 03:43:34 2015  relations with 5 large ideals: 252658
Fri Jan 16 03:43:34 2015  relations with 6 large ideals: 219187
Fri Jan 16 03:43:34 2015  relations with 7+ large ideals: 138251
Fri Jan 16 03:43:34 2015  commencing 2-way merge
Fri Jan 16 03:43:34 2015  reduce to 619002 relation sets and 561623 unique ideals
Fri Jan 16 03:43:34 2015  commencing full merge
Fri Jan 16 03:43:40 2015  memory use: 68.3 MB
Fri Jan 16 03:43:40 2015  found 306930 cycles, need 297823
Fri Jan 16 03:43:40 2015  weight of 297823 cycles is about 21205017 (71.20/cycle)
Fri Jan 16 03:43:40 2015  distribution of cycle lengths:
Fri Jan 16 03:43:40 2015  1 relations: 16207
Fri Jan 16 03:43:40 2015  2 relations: 27410
Fri Jan 16 03:43:40 2015  3 relations: 34224
Fri Jan 16 03:43:40 2015  4 relations: 34166
Fri Jan 16 03:43:40 2015  5 relations: 32737
Fri Jan 16 03:43:40 2015  6 relations: 29114
Fri Jan 16 03:43:40 2015  7 relations: 25309
Fri Jan 16 03:43:40 2015  8 relations: 21600
Fri Jan 16 03:43:40 2015  9 relations: 17846
Fri Jan 16 03:43:40 2015  10+ relations: 59210
Fri Jan 16 03:43:40 2015  heaviest cycle: 19 relations
Fri Jan 16 03:43:40 2015  commencing cycle optimization
Fri Jan 16 03:43:40 2015  start with 1888163 relations
Fri Jan 16 03:43:42 2015  pruned 76466 relations
Fri Jan 16 03:43:42 2015  memory use: 55.3 MB
Fri Jan 16 03:43:42 2015  distribution of cycle lengths:
Fri Jan 16 03:43:42 2015  1 relations: 16207
Fri Jan 16 03:43:42 2015  2 relations: 28139
Fri Jan 16 03:43:42 2015  3 relations: 35901
Fri Jan 16 03:43:42 2015  4 relations: 35760
Fri Jan 16 03:43:42 2015  5 relations: 34318
Fri Jan 16 03:43:42 2015  6 relations: 30353
Fri Jan 16 03:43:42 2015  7 relations: 26168
Fri Jan 16 03:43:42 2015  8 relations: 21960
Fri Jan 16 03:43:42 2015  9 relations: 17717
Fri Jan 16 03:43:42 2015  10+ relations: 51300
Fri Jan 16 03:43:42 2015  heaviest cycle: 19 relations
Fri Jan 16 03:43:42 2015  RelProcTime: 96
Fri Jan 16 03:43:42 2015  
Fri Jan 16 03:43:42 2015  commencing linear algebra
Fri Jan 16 03:43:42 2015  read 297823 cycles
Fri Jan 16 03:43:42 2015  cycles contain 842616 unique relations
Fri Jan 16 03:43:50 2015  read 842616 relations
Fri Jan 16 03:43:51 2015  using 20 quadratic characters above 134205134
Fri Jan 16 03:43:53 2015  building initial matrix
Fri Jan 16 03:43:58 2015  memory use: 104.2 MB
Fri Jan 16 03:43:58 2015  read 297823 cycles
Fri Jan 16 03:43:58 2015  matrix is 297646 x 297823 (88.8 MB) with weight 26897789 (90.31/col)
Fri Jan 16 03:43:58 2015  sparse part has weight 19997057 (67.14/col)
Fri Jan 16 03:44:00 2015  filtering completed in 2 passes
Fri Jan 16 03:44:00 2015  matrix is 297504 x 297681 (88.8 MB) with weight 26891062 (90.34/col)
Fri Jan 16 03:44:00 2015  sparse part has weight 19993684 (67.16/col)
Fri Jan 16 03:44:00 2015  matrix starts at (0, 0)
Fri Jan 16 03:44:00 2015  matrix is 297504 x 297681 (88.8 MB) with weight 26891062 (90.34/col)
Fri Jan 16 03:44:00 2015  sparse part has weight 19993684 (67.16/col)
Fri Jan 16 03:44:00 2015  saving the first 48 matrix rows for later
Fri Jan 16 03:44:00 2015  matrix includes 64 packed rows
Fri Jan 16 03:44:00 2015  matrix is 297456 x 297681 (83.9 MB) with weight 21059155 (70.74/col)
Fri Jan 16 03:44:00 2015  sparse part has weight 19004224 (63.84/col)
Fri Jan 16 03:44:00 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan 16 03:44:01 2015  commencing Lanczos iteration (8 threads)
Fri Jan 16 03:44:01 2015  memory use: 80.1 MB
Fri Jan 16 03:44:06 2015  linear algebra at 4.1%, ETA 0h 1m
Fri Jan 16 03:46:08 2015  lanczos halted after 4705 iterations (dim = 297455)
Fri Jan 16 03:46:08 2015  recovered 36 nontrivial dependencies
Fri Jan 16 03:46:08 2015  BLanczosTime: 146
Fri Jan 16 03:46:08 2015  
Fri Jan 16 03:46:08 2015  commencing square root phase
Fri Jan 16 03:46:08 2015  reading relations for dependency 1
Fri Jan 16 03:46:08 2015  read 148458 cycles
Fri Jan 16 03:46:08 2015  cycles contain 420176 unique relations
Fri Jan 16 03:46:15 2015  read 420176 relations
Fri Jan 16 03:46:16 2015  multiplying 420176 relations
Fri Jan 16 03:46:21 2015  multiply complete, coefficients have about 9.94 million bits
Fri Jan 16 03:46:21 2015  initial square root is modulo 513131
Fri Jan 16 03:46:28 2015  sqrtTime: 20
--
n: 350855913319179356323129708010929140160872177465337160414530581464882295238364829683277667362547349196326531622973686307294022882255729
m: 1000000000000000000000000000000
deg: 5
c5: 7
c0: -367
skew: 2.21
# Murphy_E = 1.46e-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 15:22:48 UTC 2015 年 1 月 9 日 (金) 0 時 22 分 48 秒 (日本時間)
403e6300 / 2104Serge BatalovJanuary 9, 2015 00:05:33 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 33 秒 (日本時間)

7×10151-3679

c117

name 名前Cyp
date 日付January 18, 2015 00:36:38 UTC 2015 年 1 月 18 日 (日) 9 時 36 分 38 秒 (日本時間)
composite number 合成数
303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901<117>
prime factors 素因数
205704255686020498768658182848445756174694295965299679<54>
1477153794148011987882836276615192787380483068873331941870090019<64>
factorization results 素因数分解の結果
01/17/15 23:10:28 v1.34.3, 
01/17/15 23:10:28 v1.34.3, ****************************
01/17/15 23:10:28 v1.34.3, Starting factorization of 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901
01/17/15 23:10:28 v1.34.3, using pretesting plan: none
01/17/15 23:10:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/17/15 23:10:28 v1.34.3, ****************************
01/17/15 23:10:28 v1.34.3, nfs: commencing nfs on c117: 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901
01/17/15 23:10:28 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/17/15 23:10:28 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/17/15 23:11:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
[147 lines snipped]
01/18/15 01:26:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 01:27:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/18/15 01:28:42 v1.34.3, nfs: commencing msieve filtering
01/18/15 01:30:17 v1.34.3, nfs: commencing msieve linear algebra
01/18/15 01:33:39 v1.34.3, nfs: commencing msieve sqrt
01/18/15 01:36:37 v1.34.3, prp64 = 1477153794148011987882836276615192787380483068873331941870090019
01/18/15 01:36:37 v1.34.3, prp54 = 205704255686020498768658182848445756174694295965299679
01/18/15 01:36:37 v1.34.3, NFS elapsed time = 8768.2690 seconds.
01/18/15 01:36:37 v1.34.3, 
01/18/15 01:36:37 v1.34.3, 
01/18/15 01:36:37 v1.34.3, Total factoring time = 8768.2696 seconds
--
Sun Jan 18 01:28:42 2015  
Sun Jan 18 01:28:42 2015  commencing relation filtering
Sun Jan 18 01:28:42 2015  estimated available RAM is 15987.3 MB
Sun Jan 18 01:28:42 2015  commencing duplicate removal, pass 1
Sun Jan 18 01:29:08 2015  found 1821656 hash collisions in 10043492 relations
Sun Jan 18 01:29:16 2015  added 346507 free relations
Sun Jan 18 01:29:16 2015  commencing duplicate removal, pass 2
Sun Jan 18 01:29:23 2015  found 1555900 duplicates and 8834099 unique relations
Sun Jan 18 01:29:23 2015  memory use: 45.3 MB
Sun Jan 18 01:29:23 2015  reading ideals above 100000
Sun Jan 18 01:29:23 2015  commencing singleton removal, initial pass
Sun Jan 18 01:30:01 2015  memory use: 188.2 MB
Sun Jan 18 01:30:01 2015  reading all ideals from disk
Sun Jan 18 01:30:01 2015  memory use: 295.7 MB
Sun Jan 18 01:30:01 2015  keeping 8913817 ideals with weight <= 200, target excess is 46502
Sun Jan 18 01:30:01 2015  commencing in-memory singleton removal
Sun Jan 18 01:30:02 2015  begin with 8834099 relations and 8913817 unique ideals
Sun Jan 18 01:30:04 2015  reduce to 4312509 relations and 3262684 ideals in 10 passes
Sun Jan 18 01:30:04 2015  max relations containing the same ideal: 128
Sun Jan 18 01:30:05 2015  removing 1185694 relations and 785694 ideals in 400000 cliques
Sun Jan 18 01:30:05 2015  commencing in-memory singleton removal
Sun Jan 18 01:30:05 2015  begin with 3126815 relations and 3262684 unique ideals
Sun Jan 18 01:30:06 2015  reduce to 2947520 relations and 2278529 ideals in 7 passes
Sun Jan 18 01:30:06 2015  max relations containing the same ideal: 97
Sun Jan 18 01:30:07 2015  removing 1019073 relations and 619073 ideals in 400000 cliques
Sun Jan 18 01:30:07 2015  commencing in-memory singleton removal
Sun Jan 18 01:30:07 2015  begin with 1928447 relations and 2278529 unique ideals
Sun Jan 18 01:30:07 2015  reduce to 1780934 relations and 1494177 ideals in 8 passes
Sun Jan 18 01:30:07 2015  max relations containing the same ideal: 67
Sun Jan 18 01:30:08 2015  removing 598204 relations and 365390 ideals in 232814 cliques
Sun Jan 18 01:30:08 2015  commencing in-memory singleton removal
Sun Jan 18 01:30:08 2015  begin with 1182730 relations and 1494177 unique ideals
Sun Jan 18 01:30:08 2015  reduce to 1085894 relations and 1020753 ideals in 8 passes
Sun Jan 18 01:30:08 2015  max relations containing the same ideal: 46
Sun Jan 18 01:30:08 2015  removing 52595 relations and 41397 ideals in 11198 cliques
Sun Jan 18 01:30:08 2015  commencing in-memory singleton removal
Sun Jan 18 01:30:08 2015  begin with 1033299 relations and 1020753 unique ideals
Sun Jan 18 01:30:08 2015  reduce to 1031058 relations and 977084 ideals in 5 passes
Sun Jan 18 01:30:08 2015  max relations containing the same ideal: 44
Sun Jan 18 01:30:08 2015  relations with 0 large ideals: 1057
Sun Jan 18 01:30:08 2015  relations with 1 large ideals: 893
Sun Jan 18 01:30:08 2015  relations with 2 large ideals: 12680
Sun Jan 18 01:30:08 2015  relations with 3 large ideals: 69169
Sun Jan 18 01:30:08 2015  relations with 4 large ideals: 188500
Sun Jan 18 01:30:08 2015  relations with 5 large ideals: 289973
Sun Jan 18 01:30:08 2015  relations with 6 large ideals: 273242
Sun Jan 18 01:30:08 2015  relations with 7+ large ideals: 195544
Sun Jan 18 01:30:08 2015  commencing 2-way merge
Sun Jan 18 01:30:09 2015  reduce to 708190 relation sets and 654216 unique ideals
Sun Jan 18 01:30:09 2015  commencing full merge
Sun Jan 18 01:30:15 2015  memory use: 80.2 MB
Sun Jan 18 01:30:15 2015  found 359532 cycles, need 352416
Sun Jan 18 01:30:15 2015  weight of 352416 cycles is about 24716049 (70.13/cycle)
Sun Jan 18 01:30:15 2015  distribution of cycle lengths:
Sun Jan 18 01:30:15 2015  1 relations: 17091
Sun Jan 18 01:30:15 2015  2 relations: 31280
Sun Jan 18 01:30:15 2015  3 relations: 39680
Sun Jan 18 01:30:15 2015  4 relations: 41896
Sun Jan 18 01:30:15 2015  5 relations: 40732
Sun Jan 18 01:30:15 2015  6 relations: 37020
Sun Jan 18 01:30:15 2015  7 relations: 32432
Sun Jan 18 01:30:15 2015  8 relations: 26372
Sun Jan 18 01:30:15 2015  9 relations: 21380
Sun Jan 18 01:30:15 2015  10+ relations: 64533
Sun Jan 18 01:30:15 2015  heaviest cycle: 20 relations
Sun Jan 18 01:30:15 2015  commencing cycle optimization
Sun Jan 18 01:30:15 2015  start with 2208376 relations
Sun Jan 18 01:30:17 2015  pruned 80403 relations
Sun Jan 18 01:30:17 2015  memory use: 65.7 MB
Sun Jan 18 01:30:17 2015  distribution of cycle lengths:
Sun Jan 18 01:30:17 2015  1 relations: 17091
Sun Jan 18 01:30:17 2015  2 relations: 32041
Sun Jan 18 01:30:17 2015  3 relations: 41504
Sun Jan 18 01:30:17 2015  4 relations: 43678
Sun Jan 18 01:30:17 2015  5 relations: 42715
Sun Jan 18 01:30:17 2015  6 relations: 38306
Sun Jan 18 01:30:17 2015  7 relations: 33274
Sun Jan 18 01:30:17 2015  8 relations: 26626
Sun Jan 18 01:30:17 2015  9 relations: 21018
Sun Jan 18 01:30:17 2015  10+ relations: 56163
Sun Jan 18 01:30:17 2015  heaviest cycle: 20 relations
Sun Jan 18 01:30:17 2015  RelProcTime: 95
Sun Jan 18 01:30:17 2015  
Sun Jan 18 01:30:17 2015  commencing linear algebra
Sun Jan 18 01:30:17 2015  read 352416 cycles
Sun Jan 18 01:30:18 2015  cycles contain 1005275 unique relations
Sun Jan 18 01:30:26 2015  read 1005275 relations
Sun Jan 18 01:30:27 2015  using 20 quadratic characters above 134210562
Sun Jan 18 01:30:30 2015  building initial matrix
Sun Jan 18 01:30:35 2015  memory use: 128.6 MB
Sun Jan 18 01:30:35 2015  read 352416 cycles
Sun Jan 18 01:30:35 2015  matrix is 352239 x 352416 (104.3 MB) with weight 31676104 (89.88/col)
Sun Jan 18 01:30:35 2015  sparse part has weight 23467354 (66.59/col)
Sun Jan 18 01:30:36 2015  filtering completed in 2 passes
Sun Jan 18 01:30:37 2015  matrix is 352172 x 352349 (104.3 MB) with weight 31673429 (89.89/col)
Sun Jan 18 01:30:37 2015  sparse part has weight 23466352 (66.60/col)
Sun Jan 18 01:30:37 2015  matrix starts at (0, 0)
Sun Jan 18 01:30:37 2015  matrix is 352172 x 352349 (104.3 MB) with weight 31673429 (89.89/col)
Sun Jan 18 01:30:37 2015  sparse part has weight 23466352 (66.60/col)
Sun Jan 18 01:30:37 2015  saving the first 48 matrix rows for later
Sun Jan 18 01:30:37 2015  matrix includes 64 packed rows
Sun Jan 18 01:30:37 2015  matrix is 352124 x 352349 (98.5 MB) with weight 24717253 (70.15/col)
Sun Jan 18 01:30:37 2015  sparse part has weight 22307810 (63.31/col)
Sun Jan 18 01:30:37 2015  using block size 65536 for processor cache size 8192 kB
Sun Jan 18 01:30:38 2015  commencing Lanczos iteration (8 threads)
Sun Jan 18 01:30:38 2015  memory use: 94.7 MB
Sun Jan 18 01:30:44 2015  linear algebra at 3.4%, ETA 0h 2m
Sun Jan 18 01:33:39 2015  lanczos halted after 5570 iterations (dim = 352122)
Sun Jan 18 01:33:39 2015  recovered 37 nontrivial dependencies
Sun Jan 18 01:33:39 2015  BLanczosTime: 202
Sun Jan 18 01:33:39 2015  
Sun Jan 18 01:33:39 2015  commencing square root phase
Sun Jan 18 01:33:39 2015  reading relations for dependency 1
Sun Jan 18 01:33:39 2015  read 176680 cycles
Sun Jan 18 01:33:39 2015  cycles contain 503294 unique relations
Sun Jan 18 01:33:47 2015  read 503294 relations
Sun Jan 18 01:33:47 2015  multiplying 503294 relations
Sun Jan 18 01:33:55 2015  multiply complete, coefficients have about 13.47 million bits
Sun Jan 18 01:33:55 2015  initial square root is modulo 55111141
Sun Jan 18 01:34:05 2015  GCD is 1, no factor found
Sun Jan 18 01:34:05 2015  reading relations for dependency 2
Sun Jan 18 01:34:05 2015  read 176318 cycles
Sun Jan 18 01:34:05 2015  cycles contain 502356 unique relations
Sun Jan 18 01:34:12 2015  read 502356 relations
Sun Jan 18 01:34:13 2015  multiplying 502356 relations
Sun Jan 18 01:34:20 2015  multiply complete, coefficients have about 13.45 million bits
Sun Jan 18 01:34:20 2015  initial square root is modulo 53383501
Sun Jan 18 01:34:30 2015  Newton iteration failed to converge
Sun Jan 18 01:34:30 2015  algebraic square root failed
Sun Jan 18 01:34:30 2015  reading relations for dependency 3
Sun Jan 18 01:34:30 2015  read 176531 cycles
Sun Jan 18 01:34:30 2015  cycles contain 503726 unique relations
Sun Jan 18 01:34:37 2015  read 503726 relations
Sun Jan 18 01:34:38 2015  multiplying 503726 relations
Sun Jan 18 01:34:46 2015  multiply complete, coefficients have about 13.49 million bits
Sun Jan 18 01:34:46 2015  initial square root is modulo 56107771
Sun Jan 18 01:34:55 2015  Newton iteration failed to converge
Sun Jan 18 01:34:55 2015  algebraic square root failed
Sun Jan 18 01:34:55 2015  reading relations for dependency 4
Sun Jan 18 01:34:55 2015  read 175734 cycles
Sun Jan 18 01:34:55 2015  cycles contain 501508 unique relations
Sun Jan 18 01:35:03 2015  read 501508 relations
Sun Jan 18 01:35:03 2015  multiplying 501508 relations
Sun Jan 18 01:35:11 2015  multiply complete, coefficients have about 13.43 million bits
Sun Jan 18 01:35:11 2015  initial square root is modulo 51900391
Sun Jan 18 01:35:21 2015  GCD is 1, no factor found
Sun Jan 18 01:35:21 2015  reading relations for dependency 5
Sun Jan 18 01:35:21 2015  read 176093 cycles
Sun Jan 18 01:35:21 2015  cycles contain 502980 unique relations
Sun Jan 18 01:35:28 2015  read 502980 relations
Sun Jan 18 01:35:29 2015  multiplying 502980 relations
Sun Jan 18 01:35:36 2015  multiply complete, coefficients have about 13.47 million bits
Sun Jan 18 01:35:36 2015  initial square root is modulo 54681091
Sun Jan 18 01:35:46 2015  Newton iteration failed to converge
Sun Jan 18 01:35:46 2015  algebraic square root failed
Sun Jan 18 01:35:46 2015  reading relations for dependency 6
Sun Jan 18 01:35:46 2015  read 176566 cycles
Sun Jan 18 01:35:46 2015  cycles contain 503124 unique relations
Sun Jan 18 01:35:53 2015  read 503124 relations
Sun Jan 18 01:35:54 2015  multiplying 503124 relations
Sun Jan 18 01:36:02 2015  multiply complete, coefficients have about 13.47 million bits
Sun Jan 18 01:36:02 2015  initial square root is modulo 54815231
Sun Jan 18 01:36:11 2015  GCD is 1, no factor found
Sun Jan 18 01:36:11 2015  reading relations for dependency 7
Sun Jan 18 01:36:11 2015  read 176050 cycles
Sun Jan 18 01:36:11 2015  cycles contain 502774 unique relations
Sun Jan 18 01:36:18 2015  read 502774 relations
Sun Jan 18 01:36:19 2015  multiplying 502774 relations
Sun Jan 18 01:36:27 2015  multiply complete, coefficients have about 13.46 million bits
Sun Jan 18 01:36:27 2015  initial square root is modulo 54224881
Sun Jan 18 01:36:36 2015  sqrtTime: 177
--
n: 303856821758997948317942884402953463527951692031626775722987351734264224581755914497560763092847936603386160041803901
m: 1000000000000000000000000000000
deg: 5
c5: 70
c0: -367
skew: 1.39
# Murphy_E = 1.016e-09
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
351e6418118Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)
403e6110 / 2126Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)
4511e632 / 4437Ignacio SantosJanuary 9, 2015 21:52:01 UTC 2015 年 1 月 10 日 (土) 6 時 52 分 1 秒 (日本時間)

7×10153-3679

c148

name 名前Cyp
date 日付January 13, 2015 00:13:52 UTC 2015 年 1 月 13 日 (火) 9 時 13 分 52 秒 (日本時間)
composite number 合成数
9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919<148>
prime factors 素因数
8791254424340477266505026678571016432964157992011680483<55>
1073386833599377487566805433958774100423183685531515340415886541750425982395023356867912511093<94>
factorization results 素因数分解の結果
01/12/15 23:12:45 v1.34.3, 
01/12/15 23:12:45 v1.34.3, ****************************
01/12/15 23:12:45 v1.34.3, Starting factorization of 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919
01/12/15 23:12:45 v1.34.3, using pretesting plan: none
01/12/15 23:12:45 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/12/15 23:12:45 v1.34.3, ****************************
01/12/15 23:12:45 v1.34.3, nfs: commencing nfs on c148: 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919
01/12/15 23:12:45 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/12/15 23:12:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/12/15 23:17:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
[22 lines snipped]
01/13/15 01:00:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 01:04:36 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/13/15 01:09:01 v1.34.3, nfs: commencing msieve filtering
01/13/15 01:10:42 v1.34.3, nfs: commencing msieve linear algebra
01/13/15 01:13:22 v1.34.3, nfs: commencing msieve sqrt
01/13/15 01:13:51 v1.34.3, prp55 = 8791254424340477266505026678571016432964157992011680483
01/13/15 01:13:51 v1.34.3, prp94 = 1073386833599377487566805433958774100423183685531515340415886541750425982395023356867912511093
01/13/15 01:13:51 v1.34.3, NFS elapsed time = 7266.3665 seconds.
01/13/15 01:13:51 v1.34.3, 
01/13/15 01:13:51 v1.34.3, 
01/13/15 01:13:51 v1.34.3, Total factoring time = 7266.3673 seconds
--
Tue Jan 13 01:09:01 2015  
Tue Jan 13 01:09:01 2015  commencing relation filtering
Tue Jan 13 01:09:01 2015  estimated available RAM is 15987.3 MB
Tue Jan 13 01:09:01 2015  commencing duplicate removal, pass 1
Tue Jan 13 01:09:30 2015  found 1264427 hash collisions in 10406456 relations
Tue Jan 13 01:09:39 2015  added 361097 free relations
Tue Jan 13 01:09:39 2015  commencing duplicate removal, pass 2
Tue Jan 13 01:09:47 2015  found 731059 duplicates and 10036494 unique relations
Tue Jan 13 01:09:47 2015  memory use: 41.3 MB
Tue Jan 13 01:09:47 2015  reading ideals above 720000
Tue Jan 13 01:09:47 2015  commencing singleton removal, initial pass
Tue Jan 13 01:10:27 2015  memory use: 188.2 MB
Tue Jan 13 01:10:27 2015  reading all ideals from disk
Tue Jan 13 01:10:27 2015  memory use: 268.1 MB
Tue Jan 13 01:10:27 2015  keeping 9741426 ideals with weight <= 200, target excess is 117032
Tue Jan 13 01:10:28 2015  commencing in-memory singleton removal
Tue Jan 13 01:10:28 2015  begin with 10036494 relations and 9741426 unique ideals
Tue Jan 13 01:10:30 2015  reduce to 5172647 relations and 3815627 ideals in 10 passes
Tue Jan 13 01:10:30 2015  max relations containing the same ideal: 127
Tue Jan 13 01:10:31 2015  removing 1250205 relations and 850205 ideals in 400000 cliques
Tue Jan 13 01:10:31 2015  commencing in-memory singleton removal
Tue Jan 13 01:10:32 2015  begin with 3922442 relations and 3815627 unique ideals
Tue Jan 13 01:10:32 2015  reduce to 3729366 relations and 2754766 ideals in 7 passes
Tue Jan 13 01:10:32 2015  max relations containing the same ideal: 100
Tue Jan 13 01:10:33 2015  removing 1063916 relations and 663916 ideals in 400000 cliques
Tue Jan 13 01:10:33 2015  commencing in-memory singleton removal
Tue Jan 13 01:10:34 2015  begin with 2665450 relations and 2754766 unique ideals
Tue Jan 13 01:10:34 2015  reduce to 2513009 relations and 1923318 ideals in 7 passes
Tue Jan 13 01:10:34 2015  max relations containing the same ideal: 74
Tue Jan 13 01:10:35 2015  removing 1011360 relations and 611360 ideals in 400000 cliques
Tue Jan 13 01:10:35 2015  commencing in-memory singleton removal
Tue Jan 13 01:10:35 2015  begin with 1501649 relations and 1923318 unique ideals
Tue Jan 13 01:10:35 2015  reduce to 1325068 relations and 1111883 ideals in 9 passes
Tue Jan 13 01:10:35 2015  max relations containing the same ideal: 50
Tue Jan 13 01:10:35 2015  removing 254547 relations and 177120 ideals in 77427 cliques
Tue Jan 13 01:10:35 2015  commencing in-memory singleton removal
Tue Jan 13 01:10:35 2015  begin with 1070521 relations and 1111883 unique ideals
Tue Jan 13 01:10:36 2015  reduce to 1020114 relations and 881086 ideals in 9 passes
Tue Jan 13 01:10:36 2015  max relations containing the same ideal: 41
Tue Jan 13 01:10:36 2015  relations with 0 large ideals: 3059
Tue Jan 13 01:10:36 2015  relations with 1 large ideals: 9190
Tue Jan 13 01:10:36 2015  relations with 2 large ideals: 72977
Tue Jan 13 01:10:36 2015  relations with 3 large ideals: 221780
Tue Jan 13 01:10:36 2015  relations with 4 large ideals: 321633
Tue Jan 13 01:10:36 2015  relations with 5 large ideals: 246799
Tue Jan 13 01:10:36 2015  relations with 6 large ideals: 114419
Tue Jan 13 01:10:36 2015  relations with 7+ large ideals: 30257
Tue Jan 13 01:10:36 2015  commencing 2-way merge
Tue Jan 13 01:10:36 2015  reduce to 644744 relation sets and 505716 unique ideals
Tue Jan 13 01:10:36 2015  commencing full merge
Tue Jan 13 01:10:40 2015  memory use: 58.1 MB
Tue Jan 13 01:10:40 2015  found 325068 cycles, need 303916
Tue Jan 13 01:10:40 2015  weight of 303916 cycles is about 21350866 (70.25/cycle)
Tue Jan 13 01:10:40 2015  distribution of cycle lengths:
Tue Jan 13 01:10:40 2015  1 relations: 28446
Tue Jan 13 01:10:40 2015  2 relations: 27246
Tue Jan 13 01:10:40 2015  3 relations: 30929
Tue Jan 13 01:10:40 2015  4 relations: 31839
Tue Jan 13 01:10:40 2015  5 relations: 31808
Tue Jan 13 01:10:40 2015  6 relations: 29364
Tue Jan 13 01:10:40 2015  7 relations: 26811
Tue Jan 13 01:10:40 2015  8 relations: 23141
Tue Jan 13 01:10:40 2015  9 relations: 19455
Tue Jan 13 01:10:40 2015  10+ relations: 54877
Tue Jan 13 01:10:40 2015  heaviest cycle: 17 relations
Tue Jan 13 01:10:40 2015  commencing cycle optimization
Tue Jan 13 01:10:40 2015  start with 1822991 relations
Tue Jan 13 01:10:42 2015  pruned 66162 relations
Tue Jan 13 01:10:42 2015  memory use: 57.6 MB
Tue Jan 13 01:10:42 2015  distribution of cycle lengths:
Tue Jan 13 01:10:42 2015  1 relations: 28446
Tue Jan 13 01:10:42 2015  2 relations: 27996
Tue Jan 13 01:10:42 2015  3 relations: 32326
Tue Jan 13 01:10:42 2015  4 relations: 33358
Tue Jan 13 01:10:42 2015  5 relations: 33436
Tue Jan 13 01:10:42 2015  6 relations: 30860
Tue Jan 13 01:10:42 2015  7 relations: 27898
Tue Jan 13 01:10:42 2015  8 relations: 23597
Tue Jan 13 01:10:42 2015  9 relations: 19357
Tue Jan 13 01:10:42 2015  10+ relations: 46642
Tue Jan 13 01:10:42 2015  heaviest cycle: 17 relations
Tue Jan 13 01:10:42 2015  RelProcTime: 101
Tue Jan 13 01:10:42 2015  
Tue Jan 13 01:10:42 2015  commencing linear algebra
Tue Jan 13 01:10:42 2015  read 303916 cycles
Tue Jan 13 01:10:42 2015  cycles contain 929391 unique relations
Tue Jan 13 01:10:51 2015  read 929391 relations
Tue Jan 13 01:10:52 2015  using 20 quadratic characters above 134216802
Tue Jan 13 01:10:54 2015  building initial matrix
Tue Jan 13 01:10:59 2015  memory use: 116.6 MB
Tue Jan 13 01:10:59 2015  read 303916 cycles
Tue Jan 13 01:10:59 2015  matrix is 303903 x 303916 (89.7 MB) with weight 27714872 (91.19/col)
Tue Jan 13 01:10:59 2015  sparse part has weight 20169222 (66.36/col)
Tue Jan 13 01:11:00 2015  filtering completed in 2 passes
Tue Jan 13 01:11:00 2015  matrix is 303401 x 303523 (89.6 MB) with weight 27691536 (91.23/col)
Tue Jan 13 01:11:00 2015  sparse part has weight 20155779 (66.41/col)
Tue Jan 13 01:11:01 2015  matrix starts at (0, 0)
Tue Jan 13 01:11:01 2015  matrix is 303401 x 303523 (89.6 MB) with weight 27691536 (91.23/col)
Tue Jan 13 01:11:01 2015  sparse part has weight 20155779 (66.41/col)
Tue Jan 13 01:11:01 2015  saving the first 48 matrix rows for later
Tue Jan 13 01:11:01 2015  matrix includes 64 packed rows
Tue Jan 13 01:11:01 2015  matrix is 303353 x 303523 (85.2 MB) with weight 21749446 (71.66/col)
Tue Jan 13 01:11:01 2015  sparse part has weight 19309638 (63.62/col)
Tue Jan 13 01:11:01 2015  using block size 65536 for processor cache size 8192 kB
Tue Jan 13 01:11:02 2015  commencing Lanczos iteration (8 threads)
Tue Jan 13 01:11:02 2015  memory use: 81.3 MB
Tue Jan 13 01:11:07 2015  linear algebra at 4.0%, ETA 0h 2m
Tue Jan 13 01:13:21 2015  lanczos halted after 4799 iterations (dim = 303316)
Tue Jan 13 01:13:22 2015  recovered 30 nontrivial dependencies
Tue Jan 13 01:13:22 2015  BLanczosTime: 160
Tue Jan 13 01:13:22 2015  
Tue Jan 13 01:13:22 2015  commencing square root phase
Tue Jan 13 01:13:22 2015  reading relations for dependency 1
Tue Jan 13 01:13:22 2015  read 151504 cycles
Tue Jan 13 01:13:22 2015  cycles contain 463660 unique relations
Tue Jan 13 01:13:29 2015  read 463660 relations
Tue Jan 13 01:13:30 2015  multiplying 463660 relations
Tue Jan 13 01:13:39 2015  multiply complete, coefficients have about 15.51 million bits
Tue Jan 13 01:13:39 2015  initial square root is modulo 819468421
Tue Jan 13 01:13:51 2015  sqrtTime: 29
--
n: 9436416749909342996224085240500561466796619605908275333071809783407274398866551542382317772682112732826732559816771747907474585707603190587309097919
m: 1000000000000000000000000000000
deg: 5
c5: 7000
c0: -367
skew: 0.55
# Murphy_E = 9.419e-10
type: snfs
lss: 1
rlim: 2600000
alim: 2600000
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 00:05:34 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 34 秒 (日本時間)

7×10154-3679

c137

name 名前Cyp
date 日付January 15, 2015 21:24:56 UTC 2015 年 1 月 16 日 (金) 6 時 24 分 56 秒 (日本時間)
composite number 合成数
75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253<137>
prime factors 素因数
5028858043936075976791474185155476423338396508841<49>
14968376542326133380687501676139774425030291221872947559900856516751299781435347985238533<89>
factorization results 素因数分解の結果
01/15/15 19:57:29 v1.34.3, 
01/15/15 19:57:29 v1.34.3, ****************************
01/15/15 19:57:29 v1.34.3, Starting factorization of 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253
01/15/15 19:57:29 v1.34.3, using pretesting plan: none
01/15/15 19:57:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/15/15 19:57:29 v1.34.3, ****************************
01/15/15 19:57:29 v1.34.3, nfs: commencing nfs on c137: 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253
01/15/15 19:57:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
01/15/15 19:57:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 19:58:37 v1.34.3, nfs: commencing lattice sieving with 8 threads
[112 lines snipped]
01/15/15 22:15:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 22:16:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/15/15 22:17:28 v1.34.3, nfs: commencing msieve filtering
01/15/15 22:19:14 v1.34.3, nfs: commencing msieve linear algebra
01/15/15 22:24:20 v1.34.3, nfs: commencing msieve sqrt
01/15/15 22:24:55 v1.34.3, prp49 = 5028858043936075976791474185155476423338396508841
01/15/15 22:24:55 v1.34.3, prp89 = 14968376542326133380687501676139774425030291221872947559900856516751299781435347985238533
01/15/15 22:24:55 v1.34.3, NFS elapsed time = 8846.4717 seconds.
01/15/15 22:24:55 v1.34.3, 
01/15/15 22:24:55 v1.34.3, 
01/15/15 22:24:55 v1.34.3, Total factoring time = 8846.4728 seconds
--
Thu Jan 15 22:17:28 2015  
Thu Jan 15 22:17:28 2015  commencing relation filtering
Thu Jan 15 22:17:28 2015  estimated available RAM is 15987.3 MB
Thu Jan 15 22:17:28 2015  commencing duplicate removal, pass 1
Thu Jan 15 22:17:56 2015  found 1655014 hash collisions in 10074069 relations
Thu Jan 15 22:18:04 2015  added 355704 free relations
Thu Jan 15 22:18:04 2015  commencing duplicate removal, pass 2
Thu Jan 15 22:18:13 2015  found 1325648 duplicates and 9104125 unique relations
Thu Jan 15 22:18:13 2015  memory use: 41.3 MB
Thu Jan 15 22:18:13 2015  reading ideals above 100000
Thu Jan 15 22:18:13 2015  commencing singleton removal, initial pass
Thu Jan 15 22:18:53 2015  memory use: 188.2 MB
Thu Jan 15 22:18:53 2015  reading all ideals from disk
Thu Jan 15 22:18:54 2015  memory use: 307.3 MB
Thu Jan 15 22:18:54 2015  keeping 9524603 ideals with weight <= 200, target excess is 46211
Thu Jan 15 22:18:54 2015  commencing in-memory singleton removal
Thu Jan 15 22:18:55 2015  begin with 9104125 relations and 9524603 unique ideals
Thu Jan 15 22:18:57 2015  reduce to 4166527 relations and 3421336 ideals in 12 passes
Thu Jan 15 22:18:57 2015  max relations containing the same ideal: 122
Thu Jan 15 22:18:59 2015  removing 1195948 relations and 850155 ideals in 345793 cliques
Thu Jan 15 22:18:59 2015  commencing in-memory singleton removal
Thu Jan 15 22:18:59 2015  begin with 2970579 relations and 3421336 unique ideals
Thu Jan 15 22:19:00 2015  reduce to 2738499 relations and 2314846 ideals in 8 passes
Thu Jan 15 22:19:00 2015  max relations containing the same ideal: 92
Thu Jan 15 22:19:00 2015  removing 997852 relations and 652059 ideals in 345793 cliques
Thu Jan 15 22:19:01 2015  commencing in-memory singleton removal
Thu Jan 15 22:19:01 2015  begin with 1740647 relations and 2314846 unique ideals
Thu Jan 15 22:19:01 2015  reduce to 1536607 relations and 1432343 ideals in 8 passes
Thu Jan 15 22:19:01 2015  max relations containing the same ideal: 65
Thu Jan 15 22:19:02 2015  removing 213124 relations and 162465 ideals in 50659 cliques
Thu Jan 15 22:19:02 2015  commencing in-memory singleton removal
Thu Jan 15 22:19:02 2015  begin with 1323483 relations and 1432343 unique ideals
Thu Jan 15 22:19:02 2015  reduce to 1301416 relations and 1247095 ideals in 7 passes
Thu Jan 15 22:19:02 2015  max relations containing the same ideal: 57
Thu Jan 15 22:19:02 2015  relations with 0 large ideals: 1060
Thu Jan 15 22:19:02 2015  relations with 1 large ideals: 685
Thu Jan 15 22:19:02 2015  relations with 2 large ideals: 10502
Thu Jan 15 22:19:02 2015  relations with 3 large ideals: 64038
Thu Jan 15 22:19:02 2015  relations with 4 large ideals: 201159
Thu Jan 15 22:19:02 2015  relations with 5 large ideals: 351980
Thu Jan 15 22:19:02 2015  relations with 6 large ideals: 370394
Thu Jan 15 22:19:02 2015  relations with 7+ large ideals: 301598
Thu Jan 15 22:19:02 2015  commencing 2-way merge
Thu Jan 15 22:19:03 2015  reduce to 818753 relation sets and 764432 unique ideals
Thu Jan 15 22:19:03 2015  commencing full merge
Thu Jan 15 22:19:11 2015  memory use: 98.4 MB
Thu Jan 15 22:19:11 2015  found 422322 cycles, need 414632
Thu Jan 15 22:19:11 2015  weight of 414632 cycles is about 29285585 (70.63/cycle)
Thu Jan 15 22:19:11 2015  distribution of cycle lengths:
Thu Jan 15 22:19:11 2015  1 relations: 28333
Thu Jan 15 22:19:11 2015  2 relations: 38199
Thu Jan 15 22:19:11 2015  3 relations: 43675
Thu Jan 15 22:19:11 2015  4 relations: 43841
Thu Jan 15 22:19:11 2015  5 relations: 43261
Thu Jan 15 22:19:11 2015  6 relations: 40225
Thu Jan 15 22:19:11 2015  7 relations: 36400
Thu Jan 15 22:19:11 2015  8 relations: 31542
Thu Jan 15 22:19:11 2015  9 relations: 26388
Thu Jan 15 22:19:11 2015  10+ relations: 82768
Thu Jan 15 22:19:11 2015  heaviest cycle: 20 relations
Thu Jan 15 22:19:11 2015  commencing cycle optimization
Thu Jan 15 22:19:11 2015  start with 2623610 relations
Thu Jan 15 22:19:14 2015  pruned 80801 relations
Thu Jan 15 22:19:14 2015  memory use: 80.6 MB
Thu Jan 15 22:19:14 2015  distribution of cycle lengths:
Thu Jan 15 22:19:14 2015  1 relations: 28333
Thu Jan 15 22:19:14 2015  2 relations: 38993
Thu Jan 15 22:19:14 2015  3 relations: 45290
Thu Jan 15 22:19:14 2015  4 relations: 45370
Thu Jan 15 22:19:14 2015  5 relations: 44870
Thu Jan 15 22:19:14 2015  6 relations: 41606
Thu Jan 15 22:19:14 2015  7 relations: 37506
Thu Jan 15 22:19:14 2015  8 relations: 31831
Thu Jan 15 22:19:14 2015  9 relations: 26698
Thu Jan 15 22:19:14 2015  10+ relations: 74135
Thu Jan 15 22:19:14 2015  heaviest cycle: 20 relations
Thu Jan 15 22:19:14 2015  RelProcTime: 106
Thu Jan 15 22:19:14 2015  
Thu Jan 15 22:19:14 2015  commencing linear algebra
Thu Jan 15 22:19:14 2015  read 414632 cycles
Thu Jan 15 22:19:15 2015  cycles contain 1266260 unique relations
Thu Jan 15 22:19:24 2015  read 1266260 relations
Thu Jan 15 22:19:25 2015  using 20 quadratic characters above 134213942
Thu Jan 15 22:19:29 2015  building initial matrix
Thu Jan 15 22:19:36 2015  memory use: 157.4 MB
Thu Jan 15 22:19:36 2015  read 414632 cycles
Thu Jan 15 22:19:36 2015  matrix is 414455 x 414632 (124.0 MB) with weight 37807513 (91.18/col)
Thu Jan 15 22:19:36 2015  sparse part has weight 27952204 (67.41/col)
Thu Jan 15 22:19:38 2015  filtering completed in 2 passes
Thu Jan 15 22:19:38 2015  matrix is 414363 x 414540 (124.0 MB) with weight 37803574 (91.19/col)
Thu Jan 15 22:19:38 2015  sparse part has weight 27950542 (67.43/col)
Thu Jan 15 22:19:39 2015  matrix starts at (0, 0)
Thu Jan 15 22:19:39 2015  matrix is 414363 x 414540 (124.0 MB) with weight 37803574 (91.19/col)
Thu Jan 15 22:19:39 2015  sparse part has weight 27950542 (67.43/col)
Thu Jan 15 22:19:39 2015  saving the first 48 matrix rows for later
Thu Jan 15 22:19:39 2015  matrix includes 64 packed rows
Thu Jan 15 22:19:39 2015  matrix is 414315 x 414540 (117.6 MB) with weight 29787447 (71.86/col)
Thu Jan 15 22:19:39 2015  sparse part has weight 26682453 (64.37/col)
Thu Jan 15 22:19:39 2015  using block size 65536 for processor cache size 8192 kB
Thu Jan 15 22:19:40 2015  commencing Lanczos iteration (8 threads)
Thu Jan 15 22:19:40 2015  memory use: 113.0 MB
Thu Jan 15 22:19:48 2015  linear algebra at 2.9%, ETA 0h 4m
Thu Jan 15 22:24:20 2015  lanczos halted after 6554 iterations (dim = 414313)
Thu Jan 15 22:24:20 2015  recovered 37 nontrivial dependencies
Thu Jan 15 22:24:20 2015  BLanczosTime: 306
Thu Jan 15 22:24:20 2015  
Thu Jan 15 22:24:20 2015  commencing square root phase
Thu Jan 15 22:24:20 2015  reading relations for dependency 1
Thu Jan 15 22:24:20 2015  read 206378 cycles
Thu Jan 15 22:24:21 2015  cycles contain 631648 unique relations
Thu Jan 15 22:24:28 2015  read 631648 relations
Thu Jan 15 22:24:30 2015  multiplying 631648 relations
Thu Jan 15 22:24:40 2015  multiply complete, coefficients have about 17.48 million bits
Thu Jan 15 22:24:40 2015  initial square root is modulo 105211
Thu Jan 15 22:24:55 2015  sqrtTime: 35
--
n: 75273840779540843473401647915202642561677612598277872901614171812367923048046108066879292836348383787563821328362477014764141769828370253
m: 5000000000000000000000000000000
deg: 5
c5: 112
c0: -1835
skew: 1.75
# Murphy_E = 7.901e-10
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
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 00:05:34 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 34 秒 (日本時間)

7×10159-3679

c111

name 名前Cyp
date 日付January 10, 2015 09:30:48 UTC 2015 年 1 月 10 日 (土) 18 時 30 分 48 秒 (日本時間)
composite number 合成数
227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319<111>
prime factors 素因数
3464752563106238351274480784722999020670403627620113473<55>
65598227648563890902853124995188379487350808962465532303<56>
factorization results 素因数分解の結果
01/10/15 08:40:24 v1.34.3, 
01/10/15 08:40:24 v1.34.3, ****************************
01/10/15 08:40:24 v1.34.3, Starting factorization of 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319
01/10/15 08:40:24 v1.34.3, using pretesting plan: none
01/10/15 08:40:24 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/10/15 08:40:24 v1.34.3, ****************************
01/10/15 08:40:24 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C111
01/10/15 08:40:24 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C111
01/10/15 08:40:24 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C111
01/10/15 08:40:24 v1.34.3, final ECM pretested depth: 0.00
01/10/15 08:40:24 v1.34.3, scheduler: switching to sieve method
01/10/15 08:40:24 v1.34.3, nfs: commencing nfs on c111: 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319
01/10/15 08:40:24 v1.34.3, nfs: commencing poly selection with 8 threads
01/10/15 08:40:24 v1.34.3, nfs: setting deadline of 500 seconds
01/10/15 08:48:45 v1.34.3, nfs: completed 150 ranges of size 250 in 500.8735 seconds
01/10/15 08:48:45 v1.34.3, nfs: best poly = # norm 1.737712e-10 alpha -5.714187 e 9.547e-10 rroots 5
01/10/15 08:48:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 08:53:45 v1.34.3, nfs: commencing lattice sieving with 8 threads
[11 lines snipped]
01/10/15 09:55:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:00:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:05:31 v1.34.3, nfs: commencing msieve filtering
01/10/15 10:06:17 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:11:22 v1.34.3, nfs: commencing msieve filtering
01/10/15 10:12:11 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:17:21 v1.34.3, nfs: commencing msieve filtering
01/10/15 10:18:13 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/10/15 10:23:24 v1.34.3, nfs: commencing msieve filtering
01/10/15 10:24:31 v1.34.3, nfs: commencing msieve linear algebra
01/10/15 10:29:00 v1.34.3, nfs: commencing msieve sqrt
01/10/15 10:30:46 v1.34.3, prp56 = 65598227648563890902853124995188379487350808962465532303
01/10/15 10:30:46 v1.34.3, prp55 = 3464752563106238351274480784722999020670403627620113473
01/10/15 10:30:46 v1.34.3, NFS elapsed time = 6622.3925 seconds.
01/10/15 10:30:46 v1.34.3, 
01/10/15 10:30:46 v1.34.3, 
01/10/15 10:30:46 v1.34.3, Total factoring time = 6622.4143 seconds
--
Sat Jan 10 10:05:31 2015  
Sat Jan 10 10:05:31 2015  commencing relation filtering
Sat Jan 10 10:05:31 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 10:05:31 2015  commencing duplicate removal, pass 1
Sat Jan 10 10:05:46 2015  found 448692 hash collisions in 4770828 relations
Sat Jan 10 10:05:51 2015  added 32761 free relations
Sat Jan 10 10:05:51 2015  commencing duplicate removal, pass 2
Sat Jan 10 10:05:55 2015  found 188293 duplicates and 4615296 unique relations
Sat Jan 10 10:05:55 2015  memory use: 20.6 MB
Sat Jan 10 10:05:55 2015  reading ideals above 100000
Sat Jan 10 10:05:55 2015  commencing singleton removal, initial pass
Sat Jan 10 10:06:14 2015  memory use: 172.2 MB
Sat Jan 10 10:06:14 2015  reading all ideals from disk
Sat Jan 10 10:06:14 2015  memory use: 155.9 MB
Sat Jan 10 10:06:15 2015  keeping 5497382 ideals with weight <= 200, target excess is 25049
Sat Jan 10 10:06:15 2015  commencing in-memory singleton removal
Sat Jan 10 10:06:15 2015  begin with 4615296 relations and 5497382 unique ideals
Sat Jan 10 10:06:17 2015  reduce to 982968 relations and 1123668 ideals in 49 passes
Sat Jan 10 10:06:17 2015  max relations containing the same ideal: 68
Sat Jan 10 10:11:22 2015  
Sat Jan 10 10:11:22 2015  commencing relation filtering
Sat Jan 10 10:11:22 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 10:11:22 2015  commencing duplicate removal, pass 1
Sat Jan 10 10:11:37 2015  found 506963 hash collisions in 5115788 relations
Sat Jan 10 10:11:42 2015  added 59 free relations
Sat Jan 10 10:11:42 2015  commencing duplicate removal, pass 2
Sat Jan 10 10:11:46 2015  found 211923 duplicates and 4903924 unique relations
Sat Jan 10 10:11:46 2015  memory use: 20.6 MB
Sat Jan 10 10:11:46 2015  reading ideals above 100000
Sat Jan 10 10:11:46 2015  commencing singleton removal, initial pass
Sat Jan 10 10:12:08 2015  memory use: 172.2 MB
Sat Jan 10 10:12:09 2015  reading all ideals from disk
Sat Jan 10 10:12:09 2015  memory use: 165.7 MB
Sat Jan 10 10:12:09 2015  keeping 5631485 ideals with weight <= 200, target excess is 26148
Sat Jan 10 10:12:09 2015  commencing in-memory singleton removal
Sat Jan 10 10:12:10 2015  begin with 4903924 relations and 5631485 unique ideals
Sat Jan 10 10:12:11 2015  reduce to 1457808 relations and 1524995 ideals in 22 passes
Sat Jan 10 10:12:11 2015  max relations containing the same ideal: 87
Sat Jan 10 10:17:21 2015  
Sat Jan 10 10:17:21 2015  commencing relation filtering
Sat Jan 10 10:17:21 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 10:17:21 2015  commencing duplicate removal, pass 1
Sat Jan 10 10:17:38 2015  found 564381 hash collisions in 5430039 relations
Sat Jan 10 10:17:43 2015  added 46 free relations
Sat Jan 10 10:17:43 2015  commencing duplicate removal, pass 2
Sat Jan 10 10:17:47 2015  found 236532 duplicates and 5193553 unique relations
Sat Jan 10 10:17:47 2015  memory use: 20.6 MB
Sat Jan 10 10:17:47 2015  reading ideals above 100000
Sat Jan 10 10:17:47 2015  commencing singleton removal, initial pass
Sat Jan 10 10:18:10 2015  memory use: 172.2 MB
Sat Jan 10 10:18:11 2015  reading all ideals from disk
Sat Jan 10 10:18:11 2015  memory use: 175.6 MB
Sat Jan 10 10:18:11 2015  keeping 5756733 ideals with weight <= 200, target excess is 27427
Sat Jan 10 10:18:11 2015  commencing in-memory singleton removal
Sat Jan 10 10:18:11 2015  begin with 5193553 relations and 5756733 unique ideals
Sat Jan 10 10:18:13 2015  reduce to 1877385 relations and 1850018 ideals in 22 passes
Sat Jan 10 10:18:13 2015  max relations containing the same ideal: 107
Sat Jan 10 10:23:24 2015  
Sat Jan 10 10:23:24 2015  commencing relation filtering
Sat Jan 10 10:23:24 2015  estimated available RAM is 15987.3 MB
Sat Jan 10 10:23:24 2015  commencing duplicate removal, pass 1
Sat Jan 10 10:23:41 2015  found 625855 hash collisions in 5753152 relations
Sat Jan 10 10:23:47 2015  added 21 free relations
Sat Jan 10 10:23:47 2015  commencing duplicate removal, pass 2
Sat Jan 10 10:23:51 2015  found 263295 duplicates and 5489878 unique relations
Sat Jan 10 10:23:51 2015  memory use: 20.6 MB
Sat Jan 10 10:23:51 2015  reading ideals above 100000
Sat Jan 10 10:23:51 2015  commencing singleton removal, initial pass
Sat Jan 10 10:24:14 2015  memory use: 172.2 MB
Sat Jan 10 10:24:15 2015  reading all ideals from disk
Sat Jan 10 10:24:15 2015  memory use: 185.7 MB
Sat Jan 10 10:24:15 2015  keeping 5876627 ideals with weight <= 200, target excess is 28953
Sat Jan 10 10:24:16 2015  commencing in-memory singleton removal
Sat Jan 10 10:24:16 2015  begin with 5489878 relations and 5876627 unique ideals
Sat Jan 10 10:24:18 2015  reduce to 2292111 relations and 2149904 ideals in 19 passes
Sat Jan 10 10:24:18 2015  max relations containing the same ideal: 116
Sat Jan 10 10:24:18 2015  removing 406467 relations and 352156 ideals in 54311 cliques
Sat Jan 10 10:24:18 2015  commencing in-memory singleton removal
Sat Jan 10 10:24:18 2015  begin with 1885644 relations and 2149904 unique ideals
Sat Jan 10 10:24:19 2015  reduce to 1824282 relations and 1734434 ideals in 10 passes
Sat Jan 10 10:24:19 2015  max relations containing the same ideal: 97
Sat Jan 10 10:24:19 2015  removing 307655 relations and 253344 ideals in 54311 cliques
Sat Jan 10 10:24:19 2015  commencing in-memory singleton removal
Sat Jan 10 10:24:20 2015  begin with 1516627 relations and 1734434 unique ideals
Sat Jan 10 10:24:20 2015  reduce to 1471955 relations and 1435065 ideals in 8 passes
Sat Jan 10 10:24:20 2015  max relations containing the same ideal: 82
Sat Jan 10 10:24:20 2015  relations with 0 large ideals: 94
Sat Jan 10 10:24:20 2015  relations with 1 large ideals: 172
Sat Jan 10 10:24:20 2015  relations with 2 large ideals: 2979
Sat Jan 10 10:24:20 2015  relations with 3 large ideals: 25807
Sat Jan 10 10:24:20 2015  relations with 4 large ideals: 114845
Sat Jan 10 10:24:20 2015  relations with 5 large ideals: 293917
Sat Jan 10 10:24:20 2015  relations with 6 large ideals: 433613
Sat Jan 10 10:24:20 2015  relations with 7+ large ideals: 600528
Sat Jan 10 10:24:20 2015  commencing 2-way merge
Sat Jan 10 10:24:21 2015  reduce to 845323 relation sets and 808434 unique ideals
Sat Jan 10 10:24:21 2015  ignored 1 oversize relation sets
Sat Jan 10 10:24:21 2015  commencing full merge
Sat Jan 10 10:24:28 2015  memory use: 92.0 MB
Sat Jan 10 10:24:28 2015  found 413386 cycles, need 406634
Sat Jan 10 10:24:28 2015  weight of 406634 cycles is about 28662889 (70.49/cycle)
Sat Jan 10 10:24:28 2015  distribution of cycle lengths:
Sat Jan 10 10:24:28 2015  1 relations: 44364
Sat Jan 10 10:24:28 2015  2 relations: 43488
Sat Jan 10 10:24:28 2015  3 relations: 45068
Sat Jan 10 10:24:28 2015  4 relations: 41314
Sat Jan 10 10:24:28 2015  5 relations: 38031
Sat Jan 10 10:24:28 2015  6 relations: 32691
Sat Jan 10 10:24:28 2015  7 relations: 29059
Sat Jan 10 10:24:28 2015  8 relations: 25366
Sat Jan 10 10:24:28 2015  9 relations: 21772
Sat Jan 10 10:24:28 2015  10+ relations: 85481
Sat Jan 10 10:24:28 2015  heaviest cycle: 22 relations
Sat Jan 10 10:24:28 2015  commencing cycle optimization
Sat Jan 10 10:24:29 2015  start with 2518806 relations
Sat Jan 10 10:24:30 2015  pruned 54998 relations
Sat Jan 10 10:24:30 2015  memory use: 84.2 MB
Sat Jan 10 10:24:30 2015  distribution of cycle lengths:
Sat Jan 10 10:24:30 2015  1 relations: 44364
Sat Jan 10 10:24:30 2015  2 relations: 44484
Sat Jan 10 10:24:30 2015  3 relations: 46531
Sat Jan 10 10:24:30 2015  4 relations: 42244
Sat Jan 10 10:24:30 2015  5 relations: 38703
Sat Jan 10 10:24:30 2015  6 relations: 33005
Sat Jan 10 10:24:30 2015  7 relations: 29441
Sat Jan 10 10:24:30 2015  8 relations: 25359
Sat Jan 10 10:24:30 2015  9 relations: 21704
Sat Jan 10 10:24:30 2015  10+ relations: 80799
Sat Jan 10 10:24:30 2015  heaviest cycle: 21 relations
Sat Jan 10 10:24:31 2015  RelProcTime: 67
Sat Jan 10 10:24:31 2015  
Sat Jan 10 10:24:31 2015  commencing linear algebra
Sat Jan 10 10:24:31 2015  read 406634 cycles
Sat Jan 10 10:24:31 2015  cycles contain 1413044 unique relations
Sat Jan 10 10:24:38 2015  read 1413044 relations
Sat Jan 10 10:24:39 2015  using 20 quadratic characters above 67108662
Sat Jan 10 10:24:43 2015  building initial matrix
Sat Jan 10 10:24:51 2015  memory use: 176.0 MB
Sat Jan 10 10:24:51 2015  read 406634 cycles
Sat Jan 10 10:24:51 2015  matrix is 406461 x 406634 (121.9 MB) with weight 38292304 (94.17/col)
Sat Jan 10 10:24:51 2015  sparse part has weight 27478728 (67.58/col)
Sat Jan 10 10:24:52 2015  filtering completed in 2 passes
Sat Jan 10 10:24:53 2015  matrix is 405626 x 405803 (121.8 MB) with weight 38256613 (94.27/col)
Sat Jan 10 10:24:53 2015  sparse part has weight 27466164 (67.68/col)
Sat Jan 10 10:24:53 2015  matrix starts at (0, 0)
Sat Jan 10 10:24:53 2015  matrix is 405626 x 405803 (121.8 MB) with weight 38256613 (94.27/col)
Sat Jan 10 10:24:53 2015  sparse part has weight 27466164 (67.68/col)
Sat Jan 10 10:24:53 2015  saving the first 48 matrix rows for later
Sat Jan 10 10:24:53 2015  matrix includes 64 packed rows
Sat Jan 10 10:24:53 2015  matrix is 405578 x 405803 (117.1 MB) with weight 30448395 (75.03/col)
Sat Jan 10 10:24:53 2015  sparse part has weight 26632096 (65.63/col)
Sat Jan 10 10:24:53 2015  using block size 65536 for processor cache size 8192 kB
Sat Jan 10 10:24:54 2015  commencing Lanczos iteration (8 threads)
Sat Jan 10 10:24:54 2015  memory use: 111.5 MB
Sat Jan 10 10:25:02 2015  linear algebra at 3.0%, ETA 0h 4m
Sat Jan 10 10:29:00 2015  lanczos halted after 6415 iterations (dim = 405576)
Sat Jan 10 10:29:00 2015  recovered 30 nontrivial dependencies
Sat Jan 10 10:29:00 2015  BLanczosTime: 269
Sat Jan 10 10:29:00 2015  
Sat Jan 10 10:29:00 2015  commencing square root phase
Sat Jan 10 10:29:00 2015  reading relations for dependency 1
Sat Jan 10 10:29:00 2015  read 202418 cycles
Sat Jan 10 10:29:00 2015  cycles contain 705910 unique relations
Sat Jan 10 10:29:07 2015  read 705910 relations
Sat Jan 10 10:29:08 2015  multiplying 705910 relations
Sat Jan 10 10:29:28 2015  multiply complete, coefficients have about 30.01 million bits
Sat Jan 10 10:29:28 2015  initial square root is modulo 414930487
Sat Jan 10 10:29:54 2015  GCD is 1, no factor found
Sat Jan 10 10:29:54 2015  reading relations for dependency 2
Sat Jan 10 10:29:54 2015  read 202192 cycles
Sat Jan 10 10:29:54 2015  cycles contain 704422 unique relations
Sat Jan 10 10:29:59 2015  read 704422 relations
Sat Jan 10 10:30:01 2015  multiplying 704422 relations
Sat Jan 10 10:30:21 2015  multiply complete, coefficients have about 29.94 million bits
Sat Jan 10 10:30:21 2015  initial square root is modulo 397711117
Sat Jan 10 10:30:46 2015  sqrtTime: 106
--
n: 227281627380588251826824237128717065288032518700650484925803790342222459614816319433811412493490890860207018319
skew: 33543.83
c0: -85382971384226959397462319
c1: 15018724425238895096064
c2: 729490490717569491
c3: -34809627784252
c4: -686289572
c5: 9108
Y0: -1902954955817836158850
Y1: 71727283019
rlim: 3460000
alim: 3460000
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
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)
403e6480 / 2318Pierre JammesJanuary 9, 2015 12:32:18 UTC 2015 年 1 月 9 日 (金) 21 時 32 分 18 秒 (日本時間)

7×10161-3679

c155

name 名前Jo Yeong Uk
date 日付January 24, 2015 23:36:18 UTC 2015 年 1 月 25 日 (日) 8 時 36 分 18 秒 (日本時間)
composite number 合成数
18515666224221596763017168016683567502286618651311994980244180903031789573791317808370419551506655469449772327400464208913002634541245140993227418961359471<155>
prime factors 素因数
8246222839059538147071186155103751374710449<43>
203420577934394845499307370430988206421583744720037<51>
11037974662607348656864191962093284376945652240854581510762867<62>
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 18515666224221596763017168016683567502286618651311994980244180903031789573791317808370419551506655469449772327400464208913002634541245140993227418961359471 (155 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2189132411
Step 1 took 8431ms
Step 2 took 2881ms
********** Factor found in step 2: 8246222839059538147071186155103751374710449
Found probable prime factor of 43 digits: 8246222839059538147071186155103751374710449
Composite cofactor 2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079 has 112 digits

Number: 77737_161
N=2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079
  ( 112 digits)
Divisors found:
 r1=203420577934394845499307370430988206421583744720037
 r2=11037974662607348656864191962093284376945652240854581510762867
Version: 
Total time: 7.32 hours.
Scaled time: 38.39 units (timescale=5.246).
Factorization parameters were as follows:
name: 77737_161
n: 2245351185092793817711751887329702373149689715606274450141145216943251100295262366778528575155398073299210466079
skew: 48073.34
# norm 3.79e+15
c5: 5400
c4: 3410271100
c3: -44692578219090
c2: -6010676640199957229
c1: 103800486094581809558562
c0: 867111791039574230577511840
# alpha -6.37
Y1: 33354301673
Y0: -3340239101195787798471
# Murphy_E 7.93e-10
# M 468138464480308768410929070279378604836399807706319586456883370485240432354393265164965617081897514915372087547
type: gnfs
rlim: 2400000
alim: 2400000
lpbr: 27
lpba: 27
mfbr: 53
mfba: 53
rlambda: 2.6
alambda: 2.6
qintsize: 60000
Factor base limits: 2400000/2400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 53/53
Sieved algebraic special-q in [1200000, 1980001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9127329
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 456869 x 457117
Polynomial selection time: 0.87 hours.
Total sieving time: 5.93 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
gnfs,111,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2400000,2400000,27,27,53,53,2.6,2.6,60000
total time: 7.32 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
GMP-ECM v6.4.4 / 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:35 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 35 秒 (日本時間)

7×10162-3679

c152

name 名前Jo Yeong Uk
date 日付February 1, 2015 14:19:03 UTC 2015 年 2 月 1 日 (日) 23 時 19 分 3 秒 (日本時間)
composite number 合成数
18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689<152>
prime factors 素因数
718057337019503144747429833102861133715377849<45>
25414544419666109655765588907786171975799366365374187194411035932639236744180550244305312552703358623444161<107>
factorization results 素因数分解の結果
Number: 77737_162
N=18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689
  ( 152 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=718057337019503144747429833102861133715377849
 r2=25414544419666109655765588907786171975799366365374187194411035932639236744180550244305312552703358623444161
Version: 
Total time: 13.11 hours.
Scaled time: 67.42 units (timescale=5.143).
Factorization parameters were as follows:
n: 18249100087549320667075758729874155032715125137503991623478775188149144329467564240177505087907195204850718800402121830899911815193527589809497867789689
m: 100000000000000000000000000000000
deg: 5
c5: 700
c0: -367
skew: 0.88
# Murphy_E = 3.717e-10
type: snfs
lss: 1
rlim: 3600000
alim: 3600000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3600000/3600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1800000, 3700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9679894
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 713760 x 714008
Total sieving time: 12.14 hours.
Total relation processing time: 0.45 hours.
Matrix solve time: 0.48 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3600000,3600000,27,27,51,51,2.4,2.4,100000
total time: 13.11 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.. 6799.88 BogoMIPS (lpj=3399941)
Total of 12 processors activated (81598.58 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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:05:35 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 35 秒 (日本時間)

7×10164-3679

c157

name 名前Serge Batalov
date 日付January 9, 2015 03:52:04 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 4 秒 (日本時間)
composite number 合成数
1542694757295778712655208398326237014584510616044055007461452559378095313725061482501761024632822063794963736766899357708073583480979689892392434632844080253<157>
prime factors 素因数
15716268822535468725388435056395003<35>
98159097093307379038758430803337647645383704561888592926695086704577604270206162251708421365417198712594618332403048811751<122>
factorization results 素因数分解の結果
Input number is 1542694757295778712655208398326237014584510616044055007461452559378095313725061482501761024632822063794963736766899357708073583480979689892392434632844080253 (157 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3395621347
Step 1 took 11018ms
Step 2 took 8471ms
********** Factor found in step 2: 15716268822535468725388435056395003
Found probable prime factor of 35 digits: 15716268822535468725388435056395003
Probable prime cofactor 98159097093307379038758430803337647645383704561888592926695086704577604270206162251708421365417198712594618332403048811751 has 122 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 00:05:36 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 36 秒 (日本時間)

7×10165-3679

c143

name 名前Cyp
date 日付February 26, 2015 11:10:53 UTC 2015 年 2 月 26 日 (木) 20 時 10 分 53 秒 (日本時間)
composite number 合成数
42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171<143>
prime factors 素因数
4290913700903358481684760865136287540367769821<46>
119491272652349327816254733434518118137422690113<48>
82799932491115414483079103780347174583881308668127<50>
factorization results 素因数分解の結果
02/26/15 07:45:41 v1.34.3, 
02/26/15 07:45:41 v1.34.3, ****************************
02/26/15 07:45:41 v1.34.3, Starting factorization of 42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171
02/26/15 07:45:41 v1.34.3, using pretesting plan: none
02/26/15 07:45:41 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/26/15 07:45:41 v1.34.3, ****************************
02/26/15 07:45:41 v1.34.3, nfs: commencing nfs on c143: 42453739372471881949791989225984639082432001222127720630878546624154214415997450264116828065027445903807273923086341922191982340334884525295171
02/26/15 07:45:41 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/26/15 07:45:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 07:50:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[43 lines snipped]
02/26/15 11:18:40 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 11:23:22 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 11:28:15 v1.34.3, nfs: commencing msieve filtering
02/26/15 11:30:11 v1.34.3, nfs: commencing msieve linear algebra
02/26/15 11:44:32 v1.34.3, nfs: commencing msieve sqrt
02/26/15 11:45:18 v1.34.3, prp46 = 4290913700903358481684760865136287540367769821
02/26/15 11:45:18 v1.34.3, C97 = 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351
02/26/15 11:45:18 v1.34.3, NFS elapsed time = 14376.5241 seconds.
02/26/15 11:45:18 v1.34.3, 
02/26/15 11:45:18 v1.34.3, 
02/26/15 11:45:18 v1.34.3, 
02/26/15 11:45:18 v1.34.3, ****************************
02/26/15 11:45:18 v1.34.3, Starting factorization of 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351
02/26/15 11:45:18 v1.34.3, using pretesting plan: normal
02/26/15 11:45:18 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/26/15 11:45:18 v1.34.3, ****************************
02/26/15 11:45:18 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C97
02/26/15 11:45:18 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C97
02/26/15 11:45:18 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C97
02/26/15 11:45:18 v1.34.3, pm1: starting B1 = 150K, B2 = gmp-ecm default on C97
02/26/15 11:45:18 v1.34.3, current ECM pretesting depth: 0.00
02/26/15 11:45:18 v1.34.3, scheduled 30 curves at B1=2000 toward target pretesting depth of 29.85
02/26/15 11:45:18 v1.34.3, Finished 30 curves using Lenstra ECM method on C97 input, B1=2K, B2=gmp-ecm default
02/26/15 11:45:18 v1.34.3, current ECM pretesting depth: 15.18
02/26/15 11:45:18 v1.34.3, scheduled 74 curves at B1=11000 toward target pretesting depth of 29.85
02/26/15 11:45:20 v1.34.3, Finished 74 curves using Lenstra ECM method on C97 input, B1=11K, B2=gmp-ecm default
02/26/15 11:45:20 v1.34.3, current ECM pretesting depth: 20.24
02/26/15 11:45:20 v1.34.3, scheduled 214 curves at B1=50000 toward target pretesting depth of 29.85
02/26/15 11:45:47 v1.34.3, Finished 214 curves using Lenstra ECM method on C97 input, B1=50K, B2=gmp-ecm default
02/26/15 11:45:47 v1.34.3, pm1: starting B1 = 3750K, B2 = gmp-ecm default on C97
02/26/15 11:45:48 v1.34.3, current ECM pretesting depth: 25.33
02/26/15 11:45:48 v1.34.3, scheduled 390 curves at B1=250000 toward target pretesting depth of 29.85
02/26/15 11:49:22 v1.34.3, Finished 390 curves using Lenstra ECM method on C97 input, B1=250K, B2=gmp-ecm default
02/26/15 11:49:22 v1.34.3, final ECM pretested depth: 29.87
02/26/15 11:49:22 v1.34.3, scheduler: switching to sieve method
02/26/15 11:49:22 v1.34.3, nfs: commencing nfs on c97: 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351
02/26/15 11:49:22 v1.34.3, nfs: commencing poly selection with 8 threads
02/26/15 11:49:22 v1.34.3, nfs: setting deadline of 124 seconds
02/26/15 11:51:35 v1.34.3, nfs: completed 189 ranges of size 250 in 133.0333 seconds
02/26/15 11:51:35 v1.34.3, nfs: best poly = # norm 3.508038e-13 alpha -5.008034 e 1.945e-08 rroots 4
02/26/15 11:51:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 11:52:56 v1.34.3, nfs: commencing lattice sieving with 8 threads
[3 lines snipped]
02/26/15 11:58:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 11:59:31 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 12:00:47 v1.34.3, nfs: commencing msieve filtering
02/26/15 12:01:03 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 12:02:21 v1.34.3, nfs: commencing msieve filtering
02/26/15 12:02:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 12:04:00 v1.34.3, nfs: commencing msieve filtering
02/26/15 12:04:21 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/26/15 12:05:46 v1.34.3, nfs: commencing msieve filtering
02/26/15 12:06:16 v1.34.3, nfs: commencing msieve linear algebra
02/26/15 12:09:43 v1.34.3, nfs: commencing msieve sqrt
02/26/15 12:10:52 v1.34.3, prp48 = 119491272652349327816254733434518118137422690113
02/26/15 12:10:52 v1.34.3, prp50 = 82799932491115414483079103780347174583881308668127
02/26/15 12:10:52 v1.34.3, NFS elapsed time = 1290.1779 seconds.
02/26/15 12:10:52 v1.34.3, 
02/26/15 12:10:52 v1.34.3, 
02/26/15 12:10:52 v1.34.3, Total factoring time = 1534.1225 seconds
02/26/15 12:10:52 v1.34.3, Total factoring time = 15910.6753 seconds
--
Thu Feb 26 11:28:15 2015  
Thu Feb 26 11:28:15 2015  commencing relation filtering
Thu Feb 26 11:28:15 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 11:28:15 2015  commencing duplicate removal, pass 1
Thu Feb 26 11:28:44 2015  found 1300948 hash collisions in 10208656 relations
Thu Feb 26 11:28:53 2015  added 366874 free relations
Thu Feb 26 11:28:53 2015  commencing duplicate removal, pass 2
Thu Feb 26 11:29:01 2015  found 816243 duplicates and 9759287 unique relations
Thu Feb 26 11:29:01 2015  memory use: 41.3 MB
Thu Feb 26 11:29:01 2015  reading ideals above 100000
Thu Feb 26 11:29:01 2015  commencing singleton removal, initial pass
Thu Feb 26 11:29:44 2015  memory use: 344.5 MB
Thu Feb 26 11:29:44 2015  reading all ideals from disk
Thu Feb 26 11:29:44 2015  memory use: 347.0 MB
Thu Feb 26 11:29:44 2015  keeping 10406095 ideals with weight <= 200, target excess is 50988
Thu Feb 26 11:29:45 2015  commencing in-memory singleton removal
Thu Feb 26 11:29:45 2015  begin with 9759287 relations and 10406095 unique ideals
Thu Feb 26 11:29:49 2015  reduce to 4386121 relations and 3885494 ideals in 14 passes
Thu Feb 26 11:29:49 2015  max relations containing the same ideal: 119
Thu Feb 26 11:29:50 2015  removing 1022635 relations and 801895 ideals in 220740 cliques
Thu Feb 26 11:29:50 2015  commencing in-memory singleton removal
Thu Feb 26 11:29:50 2015  begin with 3363486 relations and 3885494 unique ideals
Thu Feb 26 11:29:52 2015  reduce to 3167758 relations and 2875457 ideals in 10 passes
Thu Feb 26 11:29:52 2015  max relations containing the same ideal: 95
Thu Feb 26 11:29:52 2015  removing 824561 relations and 603821 ideals in 220740 cliques
Thu Feb 26 11:29:53 2015  commencing in-memory singleton removal
Thu Feb 26 11:29:53 2015  begin with 2343197 relations and 2875457 unique ideals
Thu Feb 26 11:29:53 2015  reduce to 2173428 relations and 2089726 ideals in 9 passes
Thu Feb 26 11:29:53 2015  max relations containing the same ideal: 72
Thu Feb 26 11:29:54 2015  removing 153325 relations and 128770 ideals in 24555 cliques
Thu Feb 26 11:29:54 2015  commencing in-memory singleton removal
Thu Feb 26 11:29:54 2015  begin with 2020103 relations and 2089726 unique ideals
Thu Feb 26 11:29:55 2015  reduce to 2012893 relations and 1953670 ideals in 7 passes
Thu Feb 26 11:29:55 2015  max relations containing the same ideal: 68
Thu Feb 26 11:29:55 2015  relations with 0 large ideals: 1184
Thu Feb 26 11:29:55 2015  relations with 1 large ideals: 363
Thu Feb 26 11:29:55 2015  relations with 2 large ideals: 6256
Thu Feb 26 11:29:55 2015  relations with 3 large ideals: 48115
Thu Feb 26 11:29:55 2015  relations with 4 large ideals: 192124
Thu Feb 26 11:29:55 2015  relations with 5 large ideals: 435858
Thu Feb 26 11:29:55 2015  relations with 6 large ideals: 599035
Thu Feb 26 11:29:55 2015  relations with 7+ large ideals: 729958
Thu Feb 26 11:29:55 2015  commencing 2-way merge
Thu Feb 26 11:29:56 2015  reduce to 1205216 relation sets and 1145993 unique ideals
Thu Feb 26 11:29:56 2015  commencing full merge
Thu Feb 26 11:30:06 2015  memory use: 144.9 MB
Thu Feb 26 11:30:07 2015  found 616009 cycles, need 608193
Thu Feb 26 11:30:07 2015  weight of 608193 cycles is about 42701272 (70.21/cycle)
Thu Feb 26 11:30:07 2015  distribution of cycle lengths:
Thu Feb 26 11:30:07 2015  1 relations: 66535
Thu Feb 26 11:30:07 2015  2 relations: 63506
Thu Feb 26 11:30:07 2015  3 relations: 64937
Thu Feb 26 11:30:07 2015  4 relations: 62026
Thu Feb 26 11:30:07 2015  5 relations: 59215
Thu Feb 26 11:30:07 2015  6 relations: 53635
Thu Feb 26 11:30:07 2015  7 relations: 47044
Thu Feb 26 11:30:07 2015  8 relations: 41038
Thu Feb 26 11:30:07 2015  9 relations: 34741
Thu Feb 26 11:30:07 2015  10+ relations: 115516
Thu Feb 26 11:30:07 2015  heaviest cycle: 22 relations
Thu Feb 26 11:30:07 2015  commencing cycle optimization
Thu Feb 26 11:30:07 2015  start with 3649247 relations
Thu Feb 26 11:30:10 2015  pruned 90499 relations
Thu Feb 26 11:30:10 2015  memory use: 119.3 MB
Thu Feb 26 11:30:10 2015  distribution of cycle lengths:
Thu Feb 26 11:30:10 2015  1 relations: 66535
Thu Feb 26 11:30:10 2015  2 relations: 64782
Thu Feb 26 11:30:10 2015  3 relations: 67084
Thu Feb 26 11:30:10 2015  4 relations: 63578
Thu Feb 26 11:30:10 2015  5 relations: 60942
Thu Feb 26 11:30:10 2015  6 relations: 54568
Thu Feb 26 11:30:10 2015  7 relations: 47930
Thu Feb 26 11:30:10 2015  8 relations: 41570
Thu Feb 26 11:30:10 2015  9 relations: 34749
Thu Feb 26 11:30:10 2015  10+ relations: 106455
Thu Feb 26 11:30:10 2015  heaviest cycle: 21 relations
Thu Feb 26 11:30:11 2015  RelProcTime: 116
Thu Feb 26 11:30:11 2015  
Thu Feb 26 11:30:11 2015  commencing linear algebra
Thu Feb 26 11:30:11 2015  read 608193 cycles
Thu Feb 26 11:30:12 2015  cycles contain 1970345 unique relations
Thu Feb 26 11:30:22 2015  read 1970345 relations
Thu Feb 26 11:30:24 2015  using 20 quadratic characters above 134217690
Thu Feb 26 11:30:30 2015  building initial matrix
Thu Feb 26 11:30:40 2015  memory use: 240.5 MB
Thu Feb 26 11:30:40 2015  read 608193 cycles
Thu Feb 26 11:30:40 2015  matrix is 608016 x 608193 (182.0 MB) with weight 54785134 (90.08/col)
Thu Feb 26 11:30:40 2015  sparse part has weight 41014045 (67.44/col)
Thu Feb 26 11:30:43 2015  filtering completed in 2 passes
Thu Feb 26 11:30:43 2015  matrix is 607741 x 607918 (182.0 MB) with weight 54775751 (90.10/col)
Thu Feb 26 11:30:43 2015  sparse part has weight 41010893 (67.46/col)
Thu Feb 26 11:30:44 2015  matrix starts at (0, 0)
Thu Feb 26 11:30:44 2015  matrix is 607741 x 607918 (182.0 MB) with weight 54775751 (90.10/col)
Thu Feb 26 11:30:44 2015  sparse part has weight 41010893 (67.46/col)
Thu Feb 26 11:30:44 2015  saving the first 48 matrix rows for later
Thu Feb 26 11:30:44 2015  matrix includes 64 packed rows
Thu Feb 26 11:30:45 2015  matrix is 607693 x 607918 (172.4 MB) with weight 43025348 (70.77/col)
Thu Feb 26 11:30:45 2015  sparse part has weight 39123843 (64.36/col)
Thu Feb 26 11:30:45 2015  using block size 65536 for processor cache size 8192 kB
Thu Feb 26 11:30:46 2015  commencing Lanczos iteration (8 threads)
Thu Feb 26 11:30:46 2015  memory use: 167.2 MB
Thu Feb 26 11:30:50 2015  linear algebra at 0.5%, ETA 0h13m
Thu Feb 26 11:44:32 2015  lanczos halted after 9610 iterations (dim = 607692)
Thu Feb 26 11:44:32 2015  recovered 37 nontrivial dependencies
Thu Feb 26 11:44:32 2015  BLanczosTime: 861
Thu Feb 26 11:44:32 2015  
Thu Feb 26 11:44:32 2015  commencing square root phase
Thu Feb 26 11:44:32 2015  reading relations for dependency 1
Thu Feb 26 11:44:32 2015  read 303708 cycles
Thu Feb 26 11:44:33 2015  cycles contain 984026 unique relations
Thu Feb 26 11:44:41 2015  read 984026 relations
Thu Feb 26 11:44:43 2015  multiplying 984026 relations
Thu Feb 26 11:44:58 2015  multiply complete, coefficients have about 24.54 million bits
Thu Feb 26 11:44:58 2015  initial square root is modulo 11162441
Thu Feb 26 11:45:18 2015  sqrtTime: 46
Thu Feb 26 12:00:47 2015  
Thu Feb 26 12:00:47 2015  commencing relation filtering
Thu Feb 26 12:00:47 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 12:00:47 2015  commencing duplicate removal, pass 1
Thu Feb 26 12:00:52 2015  found 95742 hash collisions in 1980213 relations
Thu Feb 26 12:00:54 2015  added 81382 free relations
Thu Feb 26 12:00:54 2015  commencing duplicate removal, pass 2
Thu Feb 26 12:00:55 2015  found 44931 duplicates and 2016664 unique relations
Thu Feb 26 12:00:55 2015  memory use: 6.1 MB
Thu Feb 26 12:00:55 2015  reading ideals above 100000
Thu Feb 26 12:00:55 2015  commencing singleton removal, initial pass
Thu Feb 26 12:01:03 2015  memory use: 86.1 MB
Thu Feb 26 12:01:03 2015  reading all ideals from disk
Thu Feb 26 12:01:03 2015  memory use: 60.9 MB
Thu Feb 26 12:01:03 2015  keeping 2693330 ideals with weight <= 200, target excess is 24261
Thu Feb 26 12:01:03 2015  commencing in-memory singleton removal
Thu Feb 26 12:01:03 2015  begin with 2016664 relations and 2693330 unique ideals
Thu Feb 26 12:01:03 2015  reduce to 472 relations and 3 ideals in 11 passes
Thu Feb 26 12:01:03 2015  max relations containing the same ideal: 2
Thu Feb 26 12:02:21 2015  
Thu Feb 26 12:02:21 2015  commencing relation filtering
Thu Feb 26 12:02:21 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 12:02:21 2015  commencing duplicate removal, pass 1
Thu Feb 26 12:02:27 2015  found 126904 hash collisions in 2335503 relations
Thu Feb 26 12:02:29 2015  added 1344 free relations
Thu Feb 26 12:02:29 2015  commencing duplicate removal, pass 2
Thu Feb 26 12:02:30 2015  found 57050 duplicates and 2279797 unique relations
Thu Feb 26 12:02:30 2015  memory use: 8.2 MB
Thu Feb 26 12:02:30 2015  reading ideals above 100000
Thu Feb 26 12:02:30 2015  commencing singleton removal, initial pass
Thu Feb 26 12:02:39 2015  memory use: 86.1 MB
Thu Feb 26 12:02:39 2015  reading all ideals from disk
Thu Feb 26 12:02:39 2015  memory use: 68.9 MB
Thu Feb 26 12:02:39 2015  keeping 2835060 ideals with weight <= 200, target excess is 25173
Thu Feb 26 12:02:39 2015  commencing in-memory singleton removal
Thu Feb 26 12:02:39 2015  begin with 2279797 relations and 2835060 unique ideals
Thu Feb 26 12:02:39 2015  reduce to 489 relations and 3 ideals in 23 passes
Thu Feb 26 12:02:39 2015  max relations containing the same ideal: 2
Thu Feb 26 12:04:00 2015  
Thu Feb 26 12:04:00 2015  commencing relation filtering
Thu Feb 26 12:04:00 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 12:04:00 2015  commencing duplicate removal, pass 1
Thu Feb 26 12:04:07 2015  found 157344 hash collisions in 2622762 relations
Thu Feb 26 12:04:09 2015  added 938 free relations
Thu Feb 26 12:04:09 2015  commencing duplicate removal, pass 2
Thu Feb 26 12:04:11 2015  found 70750 duplicates and 2552950 unique relations
Thu Feb 26 12:04:11 2015  memory use: 8.2 MB
Thu Feb 26 12:04:11 2015  reading ideals above 100000
Thu Feb 26 12:04:11 2015  commencing singleton removal, initial pass
Thu Feb 26 12:04:20 2015  memory use: 86.1 MB
Thu Feb 26 12:04:20 2015  reading all ideals from disk
Thu Feb 26 12:04:20 2015  memory use: 77.2 MB
Thu Feb 26 12:04:20 2015  keeping 2962744 ideals with weight <= 200, target excess is 26172
Thu Feb 26 12:04:20 2015  commencing in-memory singleton removal
Thu Feb 26 12:04:20 2015  begin with 2552950 relations and 2962744 unique ideals
Thu Feb 26 12:04:21 2015  reduce to 718930 relations and 739792 ideals in 31 passes
Thu Feb 26 12:04:21 2015  max relations containing the same ideal: 81
Thu Feb 26 12:05:46 2015  
Thu Feb 26 12:05:46 2015  commencing relation filtering
Thu Feb 26 12:05:46 2015  estimated available RAM is 15987.3 MB
Thu Feb 26 12:05:46 2015  commencing duplicate removal, pass 1
Thu Feb 26 12:05:55 2015  found 190682 hash collisions in 2908649 relations
Thu Feb 26 12:05:56 2015  added 712 free relations
Thu Feb 26 12:05:56 2015  commencing duplicate removal, pass 2
Thu Feb 26 12:05:58 2015  found 85989 duplicates and 2823372 unique relations
Thu Feb 26 12:05:58 2015  memory use: 8.2 MB
Thu Feb 26 12:05:58 2015  reading ideals above 100000
Thu Feb 26 12:05:58 2015  commencing singleton removal, initial pass
Thu Feb 26 12:06:09 2015  memory use: 86.1 MB
Thu Feb 26 12:06:09 2015  reading all ideals from disk
Thu Feb 26 12:06:09 2015  memory use: 85.4 MB
Thu Feb 26 12:06:09 2015  keeping 3074023 ideals with weight <= 200, target excess is 27284
Thu Feb 26 12:06:09 2015  commencing in-memory singleton removal
Thu Feb 26 12:06:09 2015  begin with 2823372 relations and 3074023 unique ideals
Thu Feb 26 12:06:10 2015  reduce to 1105775 relations and 1033874 ideals in 17 passes
Thu Feb 26 12:06:10 2015  max relations containing the same ideal: 106
Thu Feb 26 12:06:10 2015  removing 173870 relations and 153744 ideals in 20126 cliques
Thu Feb 26 12:06:10 2015  commencing in-memory singleton removal
Thu Feb 26 12:06:10 2015  begin with 931905 relations and 1033874 unique ideals
Thu Feb 26 12:06:10 2015  reduce to 907714 relations and 855297 ideals in 9 passes
Thu Feb 26 12:06:10 2015  max relations containing the same ideal: 89
Thu Feb 26 12:06:11 2015  removing 129959 relations and 109833 ideals in 20126 cliques
Thu Feb 26 12:06:11 2015  commencing in-memory singleton removal
Thu Feb 26 12:06:11 2015  begin with 777755 relations and 855297 unique ideals
Thu Feb 26 12:06:11 2015  reduce to 760818 relations and 728113 ideals in 9 passes
Thu Feb 26 12:06:11 2015  max relations containing the same ideal: 77
Thu Feb 26 12:06:11 2015  relations with 0 large ideals: 519
Thu Feb 26 12:06:11 2015  relations with 1 large ideals: 2303
Thu Feb 26 12:06:11 2015  relations with 2 large ideals: 17432
Thu Feb 26 12:06:11 2015  relations with 3 large ideals: 69090
Thu Feb 26 12:06:11 2015  relations with 4 large ideals: 158627
Thu Feb 26 12:06:11 2015  relations with 5 large ideals: 224250
Thu Feb 26 12:06:11 2015  relations with 6 large ideals: 177128
Thu Feb 26 12:06:11 2015  relations with 7+ large ideals: 111469
Thu Feb 26 12:06:11 2015  commencing 2-way merge
Thu Feb 26 12:06:11 2015  reduce to 434765 relation sets and 402060 unique ideals
Thu Feb 26 12:06:11 2015  commencing full merge
Thu Feb 26 12:06:14 2015  memory use: 41.4 MB
Thu Feb 26 12:06:14 2015  found 202213 cycles, need 198260
Thu Feb 26 12:06:14 2015  weight of 198260 cycles is about 14127939 (71.26/cycle)
Thu Feb 26 12:06:14 2015  distribution of cycle lengths:
Thu Feb 26 12:06:14 2015  1 relations: 19643
Thu Feb 26 12:06:14 2015  2 relations: 20024
Thu Feb 26 12:06:14 2015  3 relations: 20032
Thu Feb 26 12:06:14 2015  4 relations: 18713
Thu Feb 26 12:06:14 2015  5 relations: 16555
Thu Feb 26 12:06:14 2015  6 relations: 15193
Thu Feb 26 12:06:14 2015  7 relations: 13304
Thu Feb 26 12:06:14 2015  8 relations: 11819
Thu Feb 26 12:06:14 2015  9 relations: 10555
Thu Feb 26 12:06:14 2015  10+ relations: 52422
Thu Feb 26 12:06:14 2015  heaviest cycle: 25 relations
Thu Feb 26 12:06:14 2015  commencing cycle optimization
Thu Feb 26 12:06:14 2015  start with 1362713 relations
Thu Feb 26 12:06:15 2015  pruned 33230 relations
Thu Feb 26 12:06:15 2015  memory use: 43.8 MB
Thu Feb 26 12:06:15 2015  distribution of cycle lengths:
Thu Feb 26 12:06:15 2015  1 relations: 19643
Thu Feb 26 12:06:15 2015  2 relations: 20490
Thu Feb 26 12:06:15 2015  3 relations: 20746
Thu Feb 26 12:06:15 2015  4 relations: 19121
Thu Feb 26 12:06:15 2015  5 relations: 17011
Thu Feb 26 12:06:15 2015  6 relations: 15453
Thu Feb 26 12:06:15 2015  7 relations: 13515
Thu Feb 26 12:06:15 2015  8 relations: 11878
Thu Feb 26 12:06:15 2015  9 relations: 10521
Thu Feb 26 12:06:15 2015  10+ relations: 49882
Thu Feb 26 12:06:15 2015  heaviest cycle: 24 relations
Thu Feb 26 12:06:16 2015  RelProcTime: 30
Thu Feb 26 12:06:16 2015  
Thu Feb 26 12:06:16 2015  commencing linear algebra
Thu Feb 26 12:06:16 2015  read 198260 cycles
Thu Feb 26 12:06:16 2015  cycles contain 720777 unique relations
Thu Feb 26 12:06:19 2015  read 720777 relations
Thu Feb 26 12:06:19 2015  using 20 quadratic characters above 33554124
Thu Feb 26 12:06:21 2015  building initial matrix
Thu Feb 26 12:06:25 2015  memory use: 87.3 MB
Thu Feb 26 12:06:25 2015  read 198260 cycles
Thu Feb 26 12:06:25 2015  matrix is 198084 x 198260 (59.8 MB) with weight 19004478 (95.86/col)
Thu Feb 26 12:06:25 2015  sparse part has weight 13504001 (68.11/col)
Thu Feb 26 12:06:26 2015  filtering completed in 2 passes
Thu Feb 26 12:06:26 2015  matrix is 197521 x 197700 (59.8 MB) with weight 18978476 (96.00/col)
Thu Feb 26 12:06:26 2015  sparse part has weight 13494195 (68.26/col)
Thu Feb 26 12:06:26 2015  matrix starts at (0, 0)
Thu Feb 26 12:06:26 2015  matrix is 197521 x 197700 (59.8 MB) with weight 18978476 (96.00/col)
Thu Feb 26 12:06:26 2015  sparse part has weight 13494195 (68.26/col)
Thu Feb 26 12:06:26 2015  saving the first 48 matrix rows for later
Thu Feb 26 12:06:26 2015  matrix includes 64 packed rows
Thu Feb 26 12:06:26 2015  matrix is 197473 x 197700 (57.6 MB) with weight 15056446 (76.16/col)
Thu Feb 26 12:06:26 2015  sparse part has weight 13113999 (66.33/col)
Thu Feb 26 12:06:26 2015  using block size 65536 for processor cache size 8192 kB
Thu Feb 26 12:06:26 2015  commencing Lanczos iteration
Thu Feb 26 12:06:26 2015  memory use: 43.0 MB
Thu Feb 26 12:06:39 2015  linear algebra at 6.1%, ETA 0h 3m
Thu Feb 26 12:09:43 2015  lanczos halted after 3124 iterations (dim = 197473)
Thu Feb 26 12:09:43 2015  recovered 33 nontrivial dependencies
Thu Feb 26 12:09:43 2015  BLanczosTime: 207
Thu Feb 26 12:09:43 2015  
Thu Feb 26 12:09:43 2015  commencing square root phase
Thu Feb 26 12:09:43 2015  reading relations for dependency 1
Thu Feb 26 12:09:43 2015  read 99393 cycles
Thu Feb 26 12:09:44 2015  cycles contain 361686 unique relations
Thu Feb 26 12:09:46 2015  read 361686 relations
Thu Feb 26 12:09:47 2015  multiplying 361686 relations
Thu Feb 26 12:09:52 2015  multiply complete, coefficients have about 15.43 million bits
Thu Feb 26 12:09:52 2015  initial square root is modulo 731954243
Thu Feb 26 12:10:01 2015  GCD is N, no factor found
Thu Feb 26 12:10:01 2015  reading relations for dependency 2
Thu Feb 26 12:10:01 2015  read 99108 cycles
Thu Feb 26 12:10:01 2015  cycles contain 360104 unique relations
Thu Feb 26 12:10:03 2015  read 360104 relations
Thu Feb 26 12:10:04 2015  multiplying 360104 relations
Thu Feb 26 12:10:10 2015  multiply complete, coefficients have about 15.36 million bits
Thu Feb 26 12:10:10 2015  initial square root is modulo 668649677
Thu Feb 26 12:10:18 2015  GCD is N, no factor found
Thu Feb 26 12:10:18 2015  reading relations for dependency 3
Thu Feb 26 12:10:18 2015  read 98421 cycles
Thu Feb 26 12:10:18 2015  cycles contain 358632 unique relations
Thu Feb 26 12:10:20 2015  read 358632 relations
Thu Feb 26 12:10:21 2015  multiplying 358632 relations
Thu Feb 26 12:10:27 2015  multiply complete, coefficients have about 15.30 million bits
Thu Feb 26 12:10:27 2015  initial square root is modulo 616070453
Thu Feb 26 12:10:35 2015  GCD is 1, no factor found
Thu Feb 26 12:10:35 2015  reading relations for dependency 4
Thu Feb 26 12:10:35 2015  read 98869 cycles
Thu Feb 26 12:10:35 2015  cycles contain 360976 unique relations
Thu Feb 26 12:10:37 2015  read 360976 relations
Thu Feb 26 12:10:38 2015  multiplying 360976 relations
Thu Feb 26 12:10:44 2015  multiply complete, coefficients have about 15.40 million bits
Thu Feb 26 12:10:44 2015  initial square root is modulo 702626651
Thu Feb 26 12:10:52 2015  sqrtTime: 69
--
n: 9893869308891989879200755528627907100521861396113520232335209958799545965338461430858917481128351
skew: 307288.17
c0: 47981877131530387373332576
c1: 40516456042008302929
c2: -3135895721124238
c3: -1014519190
c4: 17028
Y0: -155256935769280835060055
Y1: 9082598172277
rlim: 1620000
alim: 1620000
lpbr: 25
lpba: 25
mfbr: 50
mfba: 50
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)
403e62650300Serge BatalovJanuary 9, 2015 00:05:36 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 36 秒 (日本時間)
2350Ignacio SantosFebruary 22, 2015 10:03:15 UTC 2015 年 2 月 22 日 (日) 19 時 3 分 15 秒 (日本時間)

7×10166-3679

c163

name 名前Cyp
date 日付February 17, 2015 18:32:42 UTC 2015 年 2 月 18 日 (水) 3 時 32 分 42 秒 (日本時間)
composite number 合成数
1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091<163>
prime factors 素因数
138243947265456089515279760783477003511561403094066577851<57>
7916315409391616039376909511194089089593933748644648136753844054815657584752796698966471337179279976721241<106>
factorization results 素因数分解の結果
02/17/15 08:20:19 v1.34.3, 
02/17/15 08:20:19 v1.34.3, ****************************
02/17/15 08:20:19 v1.34.3, Starting factorization of 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091
02/17/15 08:20:19 v1.34.3, using pretesting plan: none
02/17/15 08:20:19 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/17/15 08:20:19 v1.34.3, ****************************
02/17/15 08:20:19 v1.34.3, nfs: commencing nfs on c163: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091
02/17/15 08:20:19 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/17/15 08:20:19 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 08:24:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
[56 lines snipped]
02/17/15 12:45:48 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 12:50:29 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 18:38:10 v1.34.3, 
02/17/15 18:38:10 v1.34.3, ****************************
02/17/15 18:38:10 v1.34.3, Starting factorization of 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091
02/17/15 18:38:10 v1.34.3, using pretesting plan: none
02/17/15 18:38:10 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/17/15 18:38:10 v1.34.3, ****************************
02/17/15 18:38:10 v1.34.3, nfs: previous data file found - commencing search for last special-q
02/17/15 18:38:16 v1.34.3, nfs: parsing special-q from .dat file
02/17/15 18:38:16 v1.34.3, nfs: commencing nfs on c163: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091
02/17/15 18:38:16 v1.34.3, nfs: resuming with filtering
02/17/15 18:38:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 18:43:33 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
02/17/15 18:59:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 19:04:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
02/17/15 19:10:01 v1.34.3, nfs: commencing msieve filtering
02/17/15 19:12:13 v1.34.3, nfs: commencing msieve linear algebra
02/17/15 19:30:51 v1.34.3, nfs: commencing msieve sqrt
02/17/15 19:32:41 v1.34.3, prp106 = 7916315409391616039376909511194089089593933748644648136753844054815657584752796698966471337179279976721241
02/17/15 19:32:41 v1.34.3, prp57 = 138243947265456089515279760783477003511561403094066577851
02/17/15 19:32:41 v1.34.3, NFS elapsed time = 3271.2623 seconds.
02/17/15 19:32:41 v1.34.3, 
02/17/15 19:32:41 v1.34.3, 
02/17/15 19:32:41 v1.34.3, Total factoring time = 3271.2641 seconds
--
Tue Feb 17 19:10:01 2015  
Tue Feb 17 19:10:01 2015  commencing relation filtering
Tue Feb 17 19:10:01 2015  estimated available RAM is 15987.3 MB
Tue Feb 17 19:10:01 2015  commencing duplicate removal, pass 1
Tue Feb 17 19:10:31 2015  found 1423921 hash collisions in 10056518 relations
Tue Feb 17 19:10:39 2015  added 367346 free relations
Tue Feb 17 19:10:39 2015  commencing duplicate removal, pass 2
Tue Feb 17 19:10:48 2015  found 1008493 duplicates and 9415371 unique relations
Tue Feb 17 19:10:48 2015  memory use: 41.3 MB
Tue Feb 17 19:10:48 2015  reading ideals above 100000
Tue Feb 17 19:10:48 2015  commencing singleton removal, initial pass
Tue Feb 17 19:11:40 2015  memory use: 344.5 MB
Tue Feb 17 19:11:40 2015  reading all ideals from disk
Tue Feb 17 19:11:40 2015  memory use: 339.6 MB
Tue Feb 17 19:11:40 2015  keeping 10342352 ideals with weight <= 200, target excess is 49521
Tue Feb 17 19:11:41 2015  commencing in-memory singleton removal
Tue Feb 17 19:11:41 2015  begin with 9415371 relations and 10342352 unique ideals
Tue Feb 17 19:11:45 2015  reduce to 3950767 relations and 3678093 ideals in 20 passes
Tue Feb 17 19:11:45 2015  max relations containing the same ideal: 122
Tue Feb 17 19:11:47 2015  removing 681899 relations and 574284 ideals in 107615 cliques
Tue Feb 17 19:11:47 2015  commencing in-memory singleton removal
Tue Feb 17 19:11:47 2015  begin with 3268868 relations and 3678093 unique ideals
Tue Feb 17 19:11:48 2015  reduce to 3168449 relations and 2999864 ideals in 9 passes
Tue Feb 17 19:11:48 2015  max relations containing the same ideal: 97
Tue Feb 17 19:11:49 2015  removing 532963 relations and 425348 ideals in 107615 cliques
Tue Feb 17 19:11:49 2015  commencing in-memory singleton removal
Tue Feb 17 19:11:49 2015  begin with 2635486 relations and 2999864 unique ideals
Tue Feb 17 19:11:50 2015  reduce to 2560654 relations and 2497192 ideals in 9 passes
Tue Feb 17 19:11:50 2015  max relations containing the same ideal: 84
Tue Feb 17 19:11:51 2015  relations with 0 large ideals: 1140
Tue Feb 17 19:11:51 2015  relations with 1 large ideals: 279
Tue Feb 17 19:11:51 2015  relations with 2 large ideals: 4739
Tue Feb 17 19:11:51 2015  relations with 3 large ideals: 40510
Tue Feb 17 19:11:51 2015  relations with 4 large ideals: 182572
Tue Feb 17 19:11:51 2015  relations with 5 large ideals: 471743
Tue Feb 17 19:11:51 2015  relations with 6 large ideals: 743688
Tue Feb 17 19:11:51 2015  relations with 7+ large ideals: 1115983
Tue Feb 17 19:11:51 2015  commencing 2-way merge
Tue Feb 17 19:11:52 2015  reduce to 1523109 relation sets and 1459647 unique ideals
Tue Feb 17 19:11:52 2015  commencing full merge
Tue Feb 17 19:12:08 2015  memory use: 184.5 MB
Tue Feb 17 19:12:08 2015  found 766295 cycles, need 753847
Tue Feb 17 19:12:08 2015  weight of 753847 cycles is about 52948865 (70.24/cycle)
Tue Feb 17 19:12:08 2015  distribution of cycle lengths:
Tue Feb 17 19:12:08 2015  1 relations: 89667
Tue Feb 17 19:12:08 2015  2 relations: 82393
Tue Feb 17 19:12:08 2015  3 relations: 82168
Tue Feb 17 19:12:08 2015  4 relations: 76192
Tue Feb 17 19:12:08 2015  5 relations: 70140
Tue Feb 17 19:12:08 2015  6 relations: 62304
Tue Feb 17 19:12:08 2015  7 relations: 54661
Tue Feb 17 19:12:08 2015  8 relations: 47065
Tue Feb 17 19:12:08 2015  9 relations: 40838
Tue Feb 17 19:12:08 2015  10+ relations: 148419
Tue Feb 17 19:12:08 2015  heaviest cycle: 22 relations
Tue Feb 17 19:12:08 2015  commencing cycle optimization
Tue Feb 17 19:12:09 2015  start with 4532860 relations
Tue Feb 17 19:12:13 2015  pruned 110348 relations
Tue Feb 17 19:12:13 2015  memory use: 148.6 MB
Tue Feb 17 19:12:13 2015  distribution of cycle lengths:
Tue Feb 17 19:12:13 2015  1 relations: 89667
Tue Feb 17 19:12:13 2015  2 relations: 84101
Tue Feb 17 19:12:13 2015  3 relations: 84942
Tue Feb 17 19:12:13 2015  4 relations: 78023
Tue Feb 17 19:12:13 2015  5 relations: 71721
Tue Feb 17 19:12:13 2015  6 relations: 63404
Tue Feb 17 19:12:13 2015  7 relations: 55473
Tue Feb 17 19:12:13 2015  8 relations: 47510
Tue Feb 17 19:12:13 2015  9 relations: 40762
Tue Feb 17 19:12:13 2015  10+ relations: 138244
Tue Feb 17 19:12:13 2015  heaviest cycle: 22 relations
Tue Feb 17 19:12:13 2015  RelProcTime: 132
Tue Feb 17 19:12:13 2015  
Tue Feb 17 19:12:13 2015  commencing linear algebra
Tue Feb 17 19:12:14 2015  read 753847 cycles
Tue Feb 17 19:12:14 2015  cycles contain 2469670 unique relations
Tue Feb 17 19:12:26 2015  read 2469670 relations
Tue Feb 17 19:12:28 2015  using 20 quadratic characters above 134217104
Tue Feb 17 19:12:35 2015  building initial matrix
Tue Feb 17 19:12:50 2015  memory use: 308.7 MB
Tue Feb 17 19:12:51 2015  read 753847 cycles
Tue Feb 17 19:12:51 2015  matrix is 753669 x 753847 (225.7 MB) with weight 67930308 (90.11/col)
Tue Feb 17 19:12:51 2015  sparse part has weight 50864461 (67.47/col)
Tue Feb 17 19:12:55 2015  filtering completed in 2 passes
Tue Feb 17 19:12:56 2015  matrix is 752823 x 753001 (225.6 MB) with weight 67897954 (90.17/col)
Tue Feb 17 19:12:56 2015  sparse part has weight 50852150 (67.53/col)
Tue Feb 17 19:12:58 2015  matrix starts at (0, 0)
Tue Feb 17 19:12:58 2015  matrix is 752823 x 753001 (225.6 MB) with weight 67897954 (90.17/col)
Tue Feb 17 19:12:58 2015  sparse part has weight 50852150 (67.53/col)
Tue Feb 17 19:12:58 2015  saving the first 48 matrix rows for later
Tue Feb 17 19:12:58 2015  matrix includes 64 packed rows
Tue Feb 17 19:12:58 2015  matrix is 752775 x 753001 (213.5 MB) with weight 53324259 (70.82/col)
Tue Feb 17 19:12:58 2015  sparse part has weight 48425874 (64.31/col)
Tue Feb 17 19:12:58 2015  using block size 65536 for processor cache size 8192 kB
Tue Feb 17 19:13:00 2015  commencing Lanczos iteration (8 threads)
Tue Feb 17 19:13:00 2015  memory use: 208.2 MB
Tue Feb 17 19:13:04 2015  linear algebra at 0.4%, ETA 0h16m
Tue Feb 17 19:30:50 2015  lanczos halted after 11904 iterations (dim = 752773)
Tue Feb 17 19:30:51 2015  recovered 35 nontrivial dependencies
Tue Feb 17 19:30:51 2015  BLanczosTime: 1118
Tue Feb 17 19:30:51 2015  
Tue Feb 17 19:30:51 2015  commencing square root phase
Tue Feb 17 19:30:51 2015  reading relations for dependency 1
Tue Feb 17 19:30:51 2015  read 377579 cycles
Tue Feb 17 19:30:51 2015  cycles contain 1237680 unique relations
Tue Feb 17 19:31:02 2015  read 1237680 relations
Tue Feb 17 19:31:06 2015  multiplying 1237680 relations
Tue Feb 17 19:31:47 2015  multiply complete, coefficients have about 34.70 million bits
Tue Feb 17 19:31:47 2015  initial square root is modulo 95971
Tue Feb 17 19:32:40 2015  sqrtTime: 109
--
n: 1094382689992652001938620765129840689148413926801432077920047527476822538029798477244657067367071588261963947907383956349764707721651579819583196535497084251833091
m: 1000000000000000000000000000000000
deg: 5
c5: 70
c0: -367
skew: 1.39
# Murphy_E = 2.676e-10
type: snfs
lss: 1
rlim: 4200000
alim: 4200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
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)
403e62650300Serge BatalovJanuary 9, 2015 00:05:37 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 37 秒 (日本時間)
2350Ignacio SantosFebruary 8, 2015 10:19:18 UTC 2015 年 2 月 8 日 (日) 19 時 19 分 18 秒 (日本時間)

7×10169-3679

c146

name 名前Jo Yeong Uk
date 日付April 5, 2015 12:48:54 UTC 2015 年 4 月 5 日 (日) 21 時 48 分 54 秒 (日本時間)
composite number 合成数
52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487<146>
prime factors 素因数
2625669852459750933362478348074302860683548837773439<52>
19833695374068425453361268947015036473825115644031397960752005878361733954700469615203377316033<95>
factorization results 素因数分解の結果
Number: 77737_169
N=52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487
  ( 146 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=2625669852459750933362478348074302860683548837773439
 r2=19833695374068425453361268947015036473825115644031397960752005878361733954700469615203377316033
Version: 
Total time: 21.96 hours.
Scaled time: 115.33 units (timescale=5.252).
Factorization parameters were as follows:
n: 52076736006561887258255143682066223245971980934493086904811833053456823800932380717956753052391055722187076222671164006740058355939823551556247487
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -3670
skew: 3.50
# Murphy_E = 2.061e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 11178735
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 954623 x 954871
Total sieving time: 20.20 hours.
Total relation processing time: 0.78 hours.
Matrix solve time: 0.92 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 21.96 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
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)
403e62651300Serge BatalovJanuary 9, 2015 00:05:38 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 38 秒 (日本時間)
1CypJanuary 9, 2015 00:47:20 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 20 秒 (日本時間)
2350Ignacio SantosFebruary 13, 2015 23:50:02 UTC 2015 年 2 月 14 日 (土) 8 時 50 分 2 秒 (日本時間)

7×10170-3679

c135

name 名前Jo Yeong Uk
date 日付April 10, 2015 10:47:18 UTC 2015 年 4 月 10 日 (金) 19 時 47 分 18 秒 (日本時間)
composite number 合成数
988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099<135>
prime factors 素因数
4115973390976028362342300512416476875718204164823497833<55>
240053624897249292790074700146426909982741286912685880941346143287698220933280203<81>
factorization results 素因数分解の結果
Number: 77737_170
N=988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099
  ( 135 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=4115973390976028362342300512416476875718204164823497833
 r2=240053624897249292790074700146426909982741286912685880941346143287698220933280203
Version: 
Total time: 19.19 hours.
Scaled time: 100.64 units (timescale=5.245).
Factorization parameters were as follows:
n: 988054332484418719703061446272238448526163286407867668444232357295896013418064614116383343486142321363176119794806413469876776752300099
m: 10000000000000000000000000000000000
deg: 5
c5: 7
c0: -367
skew: 2.21
# Murphy_E = 2.445e-10
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2900000, 5300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 10841178
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 963080 x 963328
Total sieving time: 17.46 hours.
Total relation processing time: 0.65 hours.
Matrix solve time: 0.93 hours.
Time per square root: 0.16 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,5800000,5800000,27,27,52,52,2.4,2.4,100000
total time: 19.19 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
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 00:05:38 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 38 秒 (日本時間)
2350Ignacio SantosFebruary 10, 2015 20:35:08 UTC 2015 年 2 月 11 日 (水) 5 時 35 分 8 秒 (日本時間)
4511e60 / 3405--
5043e6138 / 7453Pierre JammesMarch 14, 2015 08:01:59 UTC 2015 年 3 月 14 日 (土) 17 時 1 分 59 秒 (日本時間)

7×10172-3679

c142

name 名前Cyp
date 日付April 28, 2015 15:45:34 UTC 2015 年 4 月 29 日 (水) 0 時 45 分 34 秒 (日本時間)
composite number 合成数
3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471<142>
prime factors 素因数
23889936092943474831250561182925504338603157035946091514871<59>
130795674677125223694882222042862167647528222239609969888005758667343365968220702601<84>
factorization results 素因数分解の結果
04/28/15 08:09:15 v1.34.3, 
04/28/15 08:09:15 v1.34.3, ****************************
04/28/15 08:09:15 v1.34.3, Starting factorization of 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471
04/28/15 08:09:15 v1.34.3, using pretesting plan: none
04/28/15 08:09:15 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
04/28/15 08:09:15 v1.34.3, ****************************
04/28/15 08:09:15 v1.34.3, nfs: commencing nfs on c142: 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471
04/28/15 08:09:15 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
04/28/15 08:09:15 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 08:18:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
[95 lines snipped]
04/28/15 16:05:04 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:09:30 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:14:01 v1.34.3, nfs: commencing msieve filtering
04/28/15 16:15:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:20:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/28/15 16:33:35 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:37:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:42:14 v1.34.3, nfs: commencing msieve filtering
04/28/15 16:44:00 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 16:48:23 v1.34.3, nfs: commencing lattice sieving with 8 threads
[2 lines snipped]
04/28/15 17:01:34 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 17:06:02 v1.34.3, nfs: commencing lattice sieving with 8 threads
04/28/15 17:10:30 v1.34.3, nfs: commencing msieve filtering
04/28/15 17:12:50 v1.34.3, nfs: commencing msieve linear algebra
04/28/15 17:43:41 v1.34.3, nfs: commencing msieve sqrt
04/28/15 17:45:32 v1.34.3, prp59 = 23889936092943474831250561182925504338603157035946091514871
04/28/15 17:45:32 v1.34.3, prp84 = 130795674677125223694882222042862167647528222239609969888005758667343365968220702601
04/28/15 17:45:33 v1.34.3, NFS elapsed time = 34577.9133 seconds.
04/28/15 17:45:33 v1.34.3, 
04/28/15 17:45:33 v1.34.3, 
04/28/15 17:45:33 v1.34.3, Total factoring time = 34577.9158 seconds
--
Tue Apr 28 16:14:01 2015  
Tue Apr 28 16:14:01 2015  commencing relation filtering
Tue Apr 28 16:14:01 2015  estimated available RAM is 15987.3 MB
Tue Apr 28 16:14:01 2015  commencing duplicate removal, pass 1
Tue Apr 28 16:14:33 2015  found 1462501 hash collisions in 10116243 relations
Tue Apr 28 16:14:42 2015  added 371858 free relations
Tue Apr 28 16:14:42 2015  commencing duplicate removal, pass 2
Tue Apr 28 16:14:51 2015  found 1057477 duplicates and 9430624 unique relations
Tue Apr 28 16:14:51 2015  memory use: 41.3 MB
Tue Apr 28 16:14:51 2015  reading ideals above 100000
Tue Apr 28 16:14:51 2015  commencing singleton removal, initial pass
Tue Apr 28 16:15:37 2015  memory use: 344.5 MB
Tue Apr 28 16:15:37 2015  reading all ideals from disk
Tue Apr 28 16:15:37 2015  memory use: 347.3 MB
Tue Apr 28 16:15:37 2015  keeping 10937134 ideals with weight <= 200, target excess is 48961
Tue Apr 28 16:15:38 2015  commencing in-memory singleton removal
Tue Apr 28 16:15:38 2015  begin with 9430624 relations and 10937134 unique ideals
Tue Apr 28 16:15:43 2015  reduce to 3193223 relations and 3360264 ideals in 23 passes
Tue Apr 28 16:15:43 2015  max relations containing the same ideal: 97
Tue Apr 28 16:42:14 2015  
Tue Apr 28 16:42:14 2015  commencing relation filtering
Tue Apr 28 16:42:14 2015  estimated available RAM is 15987.3 MB
Tue Apr 28 16:42:14 2015  commencing duplicate removal, pass 1
Tue Apr 28 16:42:49 2015  found 1639516 hash collisions in 11044007 relations
Tue Apr 28 16:42:58 2015  added 1238 free relations
Tue Apr 28 16:42:58 2015  commencing duplicate removal, pass 2
Tue Apr 28 16:43:07 2015  found 1160070 duplicates and 9885175 unique relations
Tue Apr 28 16:43:07 2015  memory use: 41.3 MB
Tue Apr 28 16:43:07 2015  reading ideals above 100000
Tue Apr 28 16:43:07 2015  commencing singleton removal, initial pass
Tue Apr 28 16:43:54 2015  memory use: 344.5 MB
Tue Apr 28 16:43:54 2015  reading all ideals from disk
Tue Apr 28 16:43:54 2015  memory use: 364.2 MB
Tue Apr 28 16:43:55 2015  keeping 11115461 ideals with weight <= 200, target excess is 51579
Tue Apr 28 16:43:55 2015  commencing in-memory singleton removal
Tue Apr 28 16:43:56 2015  begin with 9885175 relations and 11115461 unique ideals
Tue Apr 28 16:44:00 2015  reduce to 3867206 relations and 3868158 ideals in 21 passes
Tue Apr 28 16:44:00 2015  max relations containing the same ideal: 107
Tue Apr 28 17:10:30 2015  
Tue Apr 28 17:10:30 2015  commencing relation filtering
Tue Apr 28 17:10:30 2015  estimated available RAM is 15987.3 MB
Tue Apr 28 17:10:30 2015  commencing duplicate removal, pass 1
Tue Apr 28 17:11:06 2015  found 1779554 hash collisions in 11596672 relations
Tue Apr 28 17:11:15 2015  added 1048 free relations
Tue Apr 28 17:11:15 2015  commencing duplicate removal, pass 2
Tue Apr 28 17:11:24 2015  found 1265062 duplicates and 10332658 unique relations
Tue Apr 28 17:11:24 2015  memory use: 45.3 MB
Tue Apr 28 17:11:24 2015  reading ideals above 720000
Tue Apr 28 17:11:25 2015  commencing singleton removal, initial pass
Tue Apr 28 17:12:08 2015  memory use: 344.5 MB
Tue Apr 28 17:12:08 2015  reading all ideals from disk
Tue Apr 28 17:12:08 2015  memory use: 307.1 MB
Tue Apr 28 17:12:09 2015  commencing in-memory singleton removal
Tue Apr 28 17:12:09 2015  begin with 10332658 relations and 11219805 unique ideals
Tue Apr 28 17:12:13 2015  reduce to 4500953 relations and 4255124 ideals in 17 passes
Tue Apr 28 17:12:13 2015  max relations containing the same ideal: 72
Tue Apr 28 17:12:14 2015  removing 501859 relations and 446280 ideals in 55579 cliques
Tue Apr 28 17:12:14 2015  commencing in-memory singleton removal
Tue Apr 28 17:12:15 2015  begin with 3999094 relations and 4255124 unique ideals
Tue Apr 28 17:12:17 2015  reduce to 3949203 relations and 3758093 ideals in 9 passes
Tue Apr 28 17:12:17 2015  max relations containing the same ideal: 66
Tue Apr 28 17:12:19 2015  removing 374243 relations and 318664 ideals in 55579 cliques
Tue Apr 28 17:12:19 2015  commencing in-memory singleton removal
Tue Apr 28 17:12:19 2015  begin with 3574960 relations and 3758093 unique ideals
Tue Apr 28 17:12:21 2015  reduce to 3543839 relations and 3407855 ideals in 9 passes
Tue Apr 28 17:12:21 2015  max relations containing the same ideal: 62
Tue Apr 28 17:12:22 2015  relations with 0 large ideals: 2900
Tue Apr 28 17:12:22 2015  relations with 1 large ideals: 2018
Tue Apr 28 17:12:22 2015  relations with 2 large ideals: 28553
Tue Apr 28 17:12:22 2015  relations with 3 large ideals: 171166
Tue Apr 28 17:12:22 2015  relations with 4 large ideals: 533955
Tue Apr 28 17:12:22 2015  relations with 5 large ideals: 953552
Tue Apr 28 17:12:22 2015  relations with 6 large ideals: 1018660
Tue Apr 28 17:12:22 2015  relations with 7+ large ideals: 833035
Tue Apr 28 17:12:22 2015  commencing 2-way merge
Tue Apr 28 17:12:23 2015  reduce to 2106404 relation sets and 1970421 unique ideals
Tue Apr 28 17:12:23 2015  ignored 1 oversize relation sets
Tue Apr 28 17:12:23 2015  commencing full merge
Tue Apr 28 17:12:42 2015  memory use: 234.3 MB
Tue Apr 28 17:12:42 2015  found 1052327 cycles, need 1034621
Tue Apr 28 17:12:43 2015  weight of 1034621 cycles is about 72479278 (70.05/cycle)
Tue Apr 28 17:12:43 2015  distribution of cycle lengths:
Tue Apr 28 17:12:43 2015  1 relations: 135937
Tue Apr 28 17:12:43 2015  2 relations: 119642
Tue Apr 28 17:12:43 2015  3 relations: 115984
Tue Apr 28 17:12:43 2015  4 relations: 103285
Tue Apr 28 17:12:43 2015  5 relations: 93753
Tue Apr 28 17:12:43 2015  6 relations: 80068
Tue Apr 28 17:12:43 2015  7 relations: 68935
Tue Apr 28 17:12:43 2015  8 relations: 59412
Tue Apr 28 17:12:43 2015  9 relations: 50666
Tue Apr 28 17:12:43 2015  10+ relations: 206939
Tue Apr 28 17:12:43 2015  heaviest cycle: 22 relations
Tue Apr 28 17:12:43 2015  commencing cycle optimization
Tue Apr 28 17:12:44 2015  start with 6173217 relations
Tue Apr 28 17:12:49 2015  pruned 147860 relations
Tue Apr 28 17:12:49 2015  memory use: 203.6 MB
Tue Apr 28 17:12:49 2015  distribution of cycle lengths:
Tue Apr 28 17:12:49 2015  1 relations: 135937
Tue Apr 28 17:12:49 2015  2 relations: 122320
Tue Apr 28 17:12:49 2015  3 relations: 119874
Tue Apr 28 17:12:49 2015  4 relations: 105648
Tue Apr 28 17:12:49 2015  5 relations: 95796
Tue Apr 28 17:12:49 2015  6 relations: 81167
Tue Apr 28 17:12:49 2015  7 relations: 69607
Tue Apr 28 17:12:49 2015  8 relations: 59461
Tue Apr 28 17:12:49 2015  9 relations: 50183
Tue Apr 28 17:12:49 2015  10+ relations: 194628
Tue Apr 28 17:12:49 2015  heaviest cycle: 22 relations
Tue Apr 28 17:12:50 2015  RelProcTime: 140
Tue Apr 28 17:12:50 2015  
Tue Apr 28 17:12:50 2015  commencing linear algebra
Tue Apr 28 17:12:50 2015  read 1034621 cycles
Tue Apr 28 17:12:51 2015  cycles contain 3408274 unique relations
Tue Apr 28 17:13:06 2015  read 3408274 relations
Tue Apr 28 17:13:09 2015  using 20 quadratic characters above 134217354
Tue Apr 28 17:13:19 2015  building initial matrix
Tue Apr 28 17:13:38 2015  memory use: 414.6 MB
Tue Apr 28 17:13:39 2015  read 1034621 cycles
Tue Apr 28 17:13:39 2015  matrix is 1034439 x 1034621 (309.5 MB) with weight 92752023 (89.65/col)
Tue Apr 28 17:13:39 2015  sparse part has weight 69765456 (67.43/col)
Tue Apr 28 17:13:45 2015  filtering completed in 2 passes
Tue Apr 28 17:13:45 2015  matrix is 1032446 x 1032627 (309.4 MB) with weight 92677124 (89.75/col)
Tue Apr 28 17:13:45 2015  sparse part has weight 69736796 (67.53/col)
Tue Apr 28 17:13:48 2015  matrix starts at (0, 0)
Tue Apr 28 17:13:48 2015  matrix is 1032446 x 1032627 (309.4 MB) with weight 92677124 (89.75/col)
Tue Apr 28 17:13:48 2015  sparse part has weight 69736796 (67.53/col)
Tue Apr 28 17:13:48 2015  saving the first 48 matrix rows for later
Tue Apr 28 17:13:48 2015  matrix includes 64 packed rows
Tue Apr 28 17:13:48 2015  matrix is 1032398 x 1032627 (294.7 MB) with weight 73734272 (71.40/col)
Tue Apr 28 17:13:48 2015  sparse part has weight 66927031 (64.81/col)
Tue Apr 28 17:13:48 2015  using block size 65536 for processor cache size 8192 kB
Tue Apr 28 17:13:50 2015  commencing Lanczos iteration (8 threads)
Tue Apr 28 17:13:50 2015  memory use: 288.2 MB
Tue Apr 28 17:13:53 2015  linear algebra at 0.1%, ETA 0h33m
Tue Apr 28 17:13:54 2015  checkpointing every 1830000 dimensions
Tue Apr 28 17:43:40 2015  lanczos halted after 16327 iterations (dim = 1032398)
Tue Apr 28 17:43:41 2015  recovered 41 nontrivial dependencies
Tue Apr 28 17:43:41 2015  BLanczosTime: 1851
Tue Apr 28 17:43:41 2015  
Tue Apr 28 17:43:41 2015  commencing square root phase
Tue Apr 28 17:43:41 2015  reading relations for dependency 1
Tue Apr 28 17:43:41 2015  read 516408 cycles
Tue Apr 28 17:43:41 2015  cycles contain 1703508 unique relations
Tue Apr 28 17:43:54 2015  read 1703508 relations
Tue Apr 28 17:43:58 2015  multiplying 1703508 relations
Tue Apr 28 17:44:40 2015  multiply complete, coefficients have about 53.30 million bits
Tue Apr 28 17:44:40 2015  initial square root is modulo 44841911
Tue Apr 28 17:45:32 2015  sqrtTime: 111
--
n: 3124700309269946755446244411030936998666043641705704643205716220991835661715383192676130307593130057462945303155703809610422020203244059879471
m: 10000000000000000000000000000000000
deg: 5
c5: 700
c0: -367
skew: 0.88
# Murphy_E = 1.503e-10
type: snfs
lss: 1
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
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)
403e6300Serge BatalovJanuary 9, 2015 00:05:39 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 39 秒 (日本時間)
4511e6585 / 4409CypJanuary 31, 2015 13:50:41 UTC 2015 年 1 月 31 日 (土) 22 時 50 分 41 秒 (日本時間)

7×10173-3679

c149

name 名前Jo Yeong Uk
date 日付May 5, 2015 08:22:51 UTC 2015 年 5 月 5 日 (火) 17 時 22 分 51 秒 (日本時間)
composite number 合成数
10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929<149>
prime factors 素因数
1127378050818331830449068913021572340964436847<46>
9635982425587695430464602558772876694198286969221234391605440262767691624819301099935629561086297691007<103>
factorization results 素因数分解の結果
Number: 77737_173
N=10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929
  ( 149 digits)
SNFS difficulty: 174 digits.
Divisors found:
 r1=1127378050818331830449068913021572340964436847
 r2=9635982425587695430464602558772876694198286969221234391605440262767691624819301099935629561086297691007
Version: 
Total time: 26.57 hours.
Scaled time: 139.07 units (timescale=5.234).
Factorization parameters were as follows:
n: 10863395084678757314897332007582752554084906946197472023652009678818555401922941693222177963293998219716896916723442732676278225376680786398171334929
m: 20000000000000000000000000000000000
deg: 5
c5: 875
c0: -1468
skew: 1.11
# Murphy_E = 1.568e-10
type: snfs
lss: 1
rlim: 7200000
alim: 7200000
lpbr: 28
lpba: 28
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 7200000/7200000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 52/52
Sieved rational special-q in [3600000, 6700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 15802826
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1143402 x 1143649
Total sieving time: 23.85 hours.
Total relation processing time: 1.24 hours.
Matrix solve time: 1.40 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,174,5,0,0,0,0,0,0,0,0,7200000,7200000,28,28,52,52,2.4,2.4,100000
total time: 26.57 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)
403e62650300Serge BatalovJanuary 9, 2015 00:05:39 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 39 秒 (日本時間)
2350Ignacio SantosMarch 4, 2015 20:18:26 UTC 2015 年 3 月 5 日 (木) 5 時 18 分 26 秒 (日本時間)

7×10176-3679

c155

name 名前Jo Yeong Uk
date 日付January 16, 2016 12:01:37 UTC 2016 年 1 月 16 日 (土) 21 時 1 分 37 秒 (日本時間)
composite number 合成数
34933631150663074015742079048273135973750732425694424950060630671562198613116742180671318309567400773673043642027800662819966233180597404069225777614270783<155>
prime factors 素因数
26799763459972281786792014177988712771015626673<47>
1303505204545533136243561132737157629696569908163628118606180950760342268051357955970695509043715002178649071<109>
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 34933631150663074015742079048273135973750732425694424950060630671562198613116742180671318309567400773673043642027800662819966233180597404069225777614270783 (155 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=4770309734
Step 1 took 32393ms
Step 2 took 9947ms
********** Factor found in step 2: 26799763459972281786792014177988712771015626673
Found probable prime factor of 47 digits: 26799763459972281786792014177988712771015626673
Probable prime cofactor 1303505204545533136243561132737157629696569908163628118606180950760342268051357955970695509043715002178649071 has 109 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 00:05:40 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 40 秒 (日本時間)
4511e6585 / 4409CypJanuary 27, 2015 23:40:14 UTC 2015 年 1 月 28 日 (水) 8 時 40 分 14 秒 (日本時間)

7×10177-3679

c171

name 名前Serge Batalov
date 日付January 9, 2015 03:52:08 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 8 秒 (日本時間)
composite number 合成数
334899851309250302282997933524388914221670498638608183009946860483736043228107321623607875141297835480065301643578431703227444219918015559542777499571687011593419524115923<171>
prime factors 素因数
218670251708578120212357192683766853<36>
composite cofactor 合成数の残り
1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191<136>
factorization results 素因数分解の結果
Input number is 334899851309250302282997933524388914221670498638608183009946860483736043228107321623607875141297835480065301643578431703227444219918015559542777499571687011593419524115923 (171 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2817998849
Step 1 took 11754ms
Step 2 took 10157ms
********** Factor found in step 2: 218670251708578120212357192683766853
Found probable prime factor of 36 digits: 218670251708578120212357192683766853
Composite cofactor 1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191 has 136 digits

c136

name 名前Jo Yeong Uk
date 日付July 23, 2015 12:58:05 UTC 2015 年 7 月 23 日 (木) 21 時 58 分 5 秒 (日本時間)
composite number 合成数
1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191<136>
prime factors 素因数
91215185125889973695428070803235763122777<41>
16790286469452113770614450507879495492878467760444739480895304618239208194800130112776804103183<95>
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 1531529088627800128205673121809909509195597423304979240793653941112513118771813868667241230907270703487942710472162414188125411005499191 (136 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=207525113
Step 1 took 27046ms
Step 2 took 8700ms
********** Factor found in step 2: 91215185125889973695428070803235763122777
Found probable prime factor of 41 digits: 91215185125889973695428070803235763122777
Probable prime cofactor 16790286469452113770614450507879495492878467760444739480895304618239208194800130112776804103183 has 95 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)
403e6301300Serge BatalovJanuary 9, 2015 00:05:40 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 40 秒 (日本時間)
1CypJanuary 9, 2015 01:02:59 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 59 秒 (日本時間)
4511e6600 / 4409Pierre JammesMarch 15, 2015 08:52:13 UTC 2015 年 3 月 15 日 (日) 17 時 52 分 13 秒 (日本時間)

7×10180-3679

c160

name 名前Jo Yeong Uk
date 日付January 4, 2016 09:09:00 UTC 2016 年 1 月 4 日 (月) 18 時 9 分 0 秒 (日本時間)
composite number 合成数
4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737<160>
prime factors 素因数
253101972676952451220975446151218928515347697386797623634613666805856715543<75>
16184414899705064481411293559285954403884948704281714382733498975632175819340307637959<86>
factorization results 素因数分解の結果
Number: 77737_180
N=4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737
  ( 160 digits)
SNFS difficulty: 180 digits.
Divisors found:
 r1=253101972676952451220975446151218928515347697386797623634613666805856715543
 r2=16184414899705064481411293559285954403884948704281714382733498975632175819340307637959
Version: 
Total time: 47.44 hours.
Scaled time: 249.47 units (timescale=5.259).
Factorization parameters were as follows:
n: 4096307337737613376564976623889354857584353244622323839100421902743751105604015582137021164369724954435440020036877037080609731925492300994246997810836092096737
m: 1000000000000000000000000000000000000
deg: 5
c5: 7
c0: -367
skew: 2.21
# Murphy_E = 9.725e-11
type: snfs
lss: 1
rlim: 5800000
alim: 5800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [2900000, 5100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18028175
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1229626 x 1229874
Total sieving time: 44.50 hours.
Total relation processing time: 1.03 hours.
Matrix solve time: 1.60 hours.
Time per square root: 0.31 hours.
Prototype def-par.txt line would be:
snfs,180,5,0,0,0,0,0,0,0,0,5800000,5800000,28,28,53,53,2.5,2.5,100000
total time: 47.44 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)
403e6300Serge BatalovJanuary 9, 2015 00:05:41 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 41 秒 (日本時間)
4511e6585 / 4409CypMay 12, 2015 17:14:11 UTC 2015 年 5 月 13 日 (水) 2 時 14 分 11 秒 (日本時間)

7×10184-3679

c171

name 名前Serge Batalov
date 日付January 9, 2015 03:52:12 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 12 秒 (日本時間)
composite number 合成数
126161753403763998864273804891082527959368237289243474962353750657862197683963782005781662280325079606462363319457184388397777310330736477846200513456787427318955465429481<171>
prime factors 素因数
345118390403045614653734830343<30>
365560795692244401323223547634711676198270603383672186539330843906538518416528046210327518223064579626548984081096039555184479876626666375567<141>
factorization results 素因数分解の結果
Input number is 126161753403763998864273804891082527959368237289243474962353750657862197683963782005781662280325079606462363319457184388397777310330736477846200513456787427318955465429481 (171 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=182462322
Step 1 took 11672ms
Step 2 took 10121ms
********** Factor found in step 2: 345118390403045614653734830343
Found probable prime factor of 30 digits: 345118390403045614653734830343
Probable prime cofactor 365560795692244401323223547634711676198270603383672186539330843906538518416528046210327518223064579626548984081096039555184479876626666375567 has 141 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 00:05:42 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 42 秒 (日本時間)
1CypJanuary 9, 2015 00:41:33 UTC 2015 年 1 月 9 日 (金) 9 時 41 分 33 秒 (日本時間)

7×10186-3679

c184

name 名前Ben Meekins
date 日付August 25, 2015 17:58:15 UTC 2015 年 8 月 26 日 (水) 2 時 58 分 15 秒 (日本時間)
composite number 合成数
3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641<184>
prime factors 素因数
138304275192548422317990508889878541137338062583528115692137<60>
21881989345338610273013919288819615382320892826464038595070192875688693774647069271739207912327902235767736660892059670285793<125>
factorization results 素因数分解の結果
Number: 77737_186
N = 3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641 (184 digits)
SNFS difficulty: 187 digits.
Divisors found:
r1=138304275192548422317990508889878541137338062583528115692137 (pp60)
r2=21881989345338610273013919288819615382320892826464038595070192875688693774647069271739207912327902235767736660892059670285793 (pp125)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 32.57 hours.
Factorization parameters were as follows:
n: 3026372676178123648940769563337656722870730652831820146995244271508862948551664504971897968006917423259835711197578901859057501080847384349329874621703415477734543882403804582792909641
m: 10000000000000000000000000000000000000
deg: 5
c5: 70
c0: -367
skew: 1.39
# Murphy_E = 4.227e-11
type: snfs
lss: 1
rlim: 9100000
alim: 9100000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9100000/9100000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 22347027
Relations: 3414000 relations
Pruned matrix : 2066529 x 2066756
Polynomial selection time: 0.00 hours.
Total sieving time: 28.96 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 3.31 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,187,5,0,0,0,0,0,0,0,0,9100000,9100000,28,28,54,54,2.5,2.5,200000
total time: 32.57 hours.
x86_64
Linux-3.13.0-62-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.50GHz

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 00:05:42 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 42 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)
4511e613 / 3944KTakahashiJuly 25, 2015 08:44:53 UTC 2015 年 7 月 25 日 (土) 17 時 44 分 53 秒 (日本時間)

7×10187-3679

c125

name 名前Erik Branger
date 日付February 2, 2015 06:58:37 UTC 2015 年 2 月 2 日 (月) 15 時 58 分 37 秒 (日本時間)
composite number 合成数
38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453<125>
prime factors 素因数
196849808751862296426540219312637298173269919387142063<54>
196772465510560674034115945973904920343929581138748867047537445227920531<72>
factorization results 素因数分解の結果
Number: 77737_187
N = 38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453 (125 digits)
Divisors found:
r1=196849808751862296426540219312637298173269919387142063 (pp54)
r2=196772465510560674034115945973904920343929581138748867047537445227920531 (pp72)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 25.82 hours.
Factorization parameters were as follows:
# Murphy_E = 1.58e-10, selected by Erik Branger
# expecting poly E from 1.77e-010 to > 2.04e-010
n: 38734622203386288448248640634862462737523999406977522426327663204163564934823561629134760160666065882370330560093648571395453
Y0: -986779329563493539455427
Y1: 3914013074587
c0: 1716987883250389276140336896460
c1: 92089526662147086623223604
c2: 1368048829441917350857
c3: -1817247569851862
c4: -29671249620
c5: 41400
skew: 210430.77
type: gnfs
# selected mechanically
rlim: 7000000
alim: 7000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 27/27
Sieved algebraic special-q in [0, 0)
Total raw relations: 10368945
Relations: 1679146 relations
Pruned matrix : 976759 x 976986
Polynomial selection time: 0.00 hours.
Total sieving time: 25.14 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.04 hours.
Prototype def-par.txt line would be: gnfs,124,5,65,2000,1e-05,0.28,250,20,50000,3600,7000000,7000000,27,27,52,52,2.5,2.5,100000
total time: 25.82 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 00:05:43 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 43 秒 (日本時間)
4511e6600 / 4409Pierre JammesJanuary 21, 2015 19:23:17 UTC 2015 年 1 月 22 日 (木) 4 時 23 分 17 秒 (日本時間)

7×10189-3679

c180

composite cofactor 合成数の残り
457654358463081003256335438587905494664999478650288613938375026883344359655364099300176052904181677854661964375093820001586853723944429870539467978729127389997331635148518014964261<180>

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 00:05:43 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 43 秒 (日本時間)
1CypJanuary 9, 2015 00:42:52 UTC 2015 年 1 月 9 日 (金) 9 時 42 分 52 秒 (日本時間)
4511e6585 / 4409CypMay 19, 2015 06:28:11 UTC 2015 年 5 月 19 日 (火) 15 時 28 分 11 秒 (日本時間)

7×10191-3679

c166

composite cofactor 合成数の残り
7162202194578685158311913028525959628100480724628254997370354042106667476614136269100420638948590734982198835922095646359471161016498341191533462942115428105992000877<166>

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 00:05:44 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 44 秒 (日本時間)
4511e6585 / 4409CypJanuary 30, 2015 19:03:20 UTC 2015 年 1 月 31 日 (土) 4 時 3 分 20 秒 (日本時間)

7×10192-3679

c180

name 名前Serge Batalov
date 日付January 9, 2015 03:52:16 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 16 秒 (日本時間)
composite number 合成数
132586925506835212087682649514851478106573629333609046324039115657321070861204320489982483760470267492096746440764899525867392593326235042079871821623063011071139340803321386367133<180>
prime factors 素因数
15685475619925994173218854863394951<35>
8452846998047278340574007985260493266365643903971796220523567677493319250522255746980745447943841528267210219567944655692619083286337235395396283<145>
factorization results 素因数分解の結果
Input number is 132586925506835212087682649514851478106573629333609046324039115657321070861204320489982483760470267492096746440764899525867392593326235042079871821623063011071139340803321386367133 (180 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2708456972
Step 1 took 14988ms
********** Factor found in step 1: 15685475619925994173218854863394951
Found probable prime factor of 35 digits: 15685475619925994173218854863394951
Probable prime cofactor 8452846998047278340574007985260493266365643903971796220523567677493319250522255746980745447943841528267210219567944655692619083286337235395396283 has 145 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 00:05:45 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 45 秒 (日本時間)
1CypJanuary 9, 2015 00:43:47 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 47 秒 (日本時間)

7×10195-3679

c174

name 名前Serge Batalov
date 日付January 9, 2015 03:52:20 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 20 秒 (日本時間)
composite number 合成数
132853622527641889681865225815562200548284458440528890489537332148470430018554810167095300819603021004952937528465500463463812103565454541706211202789249947011741324853793619<174>
prime factors 素因数
3098579535886947102989403491241011<34>
42875653501536939899752988964947640158494254264294865536737902360284980600514115105386587590050476859143353563358732789656989039028618591329<140>
factorization results 素因数分解の結果
Input number is 132853622527641889681865225815562200548284458440528890489537332148470430018554810167095300819603021004952937528465500463463812103565454541706211202789249947011741324853793619 (174 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2984903419
Step 1 took 12069ms
Step 2 took 9749ms
********** Factor found in step 2: 3098579535886947102989403491241011
Found probable prime factor of 34 digits: 3098579535886947102989403491241011
Probable prime cofactor 42875653501536939899752988964947640158494254264294865536737902360284980600514115105386587590050476859143353563358732789656989039028618591329 has 140 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 00:05:45 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 45 秒 (日本時間)

7×10196-3679

c195

composite cofactor 合成数の残り
864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864197530864193<195>

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 00:05:46 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 46 秒 (日本時間)
1CypJanuary 9, 2015 00:37:38 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 38 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:54 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 54 秒 (日本時間)

7×10198-3679

c194

composite cofactor 合成数の残り
47272702715479108842021380768113886694084834241644549795039067512172720949235870526820505547789325823726844817223471572222559884384475644428236660656280178555751399609662540435043929847309170229<194>

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)
403e62681281CypJanuary 8, 2015 21:19:00 UTC 2015 年 1 月 9 日 (金) 6 時 19 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2015 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:08:56 UTC 2015 年 1 月 11 日 (日) 5 時 8 分 56 秒 (日本時間)

7×10202-3679

c188

composite cofactor 合成数の残り
25356628488239872668097320586151252095005911722626864794387439170036049165800325639944826765517142332234601851648082428057057497410885085297076302133050259794471021700311575206449167233883<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)
403e6301300Serge BatalovJanuary 9, 2015 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
1CypJanuary 9, 2015 01:02:20 UTC 2015 年 1 月 9 日 (金) 10 時 2 分 20 秒 (日本時間)
4511e6585 / 4409CypFebruary 2, 2015 23:51:20 UTC 2015 年 2 月 3 日 (火) 8 時 51 分 20 秒 (日本時間)

7×10205-3679

c173

composite cofactor 合成数の残り
87181823131300012848848647040444152437091416209117851128416267668445127347010925716685181596710929406654005554575935579963414951770799356031971575304296388132767456428253457<173>

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 00:05:47 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 47 秒 (日本時間)
1CypJanuary 9, 2015 01:21:37 UTC 2015 年 1 月 9 日 (金) 10 時 21 分 37 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 06:53:03 UTC 2017 年 1 月 16 日 (月) 15 時 53 分 3 秒 (日本時間)

7×10211-3679

c107

name 名前Cyp
date 日付January 9, 2015 17:38:53 UTC 2015 年 1 月 10 日 (土) 2 時 38 分 53 秒 (日本時間)
composite number 合成数
37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349<107>
prime factors 素因数
923868407079322798935774735391<30>
40459720694951257224689054458392767544297550655720123653957114026225946350139<77>
factorization results 素因数分解の結果
01/09/15 17:16:23 v1.34.3, 
01/09/15 17:16:23 v1.34.3, ****************************
01/09/15 17:16:23 v1.34.3, Starting factorization of 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349
01/09/15 17:16:23 v1.34.3, using pretesting plan: none
01/09/15 17:16:23 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
01/09/15 17:16:23 v1.34.3, ****************************
01/09/15 17:16:23 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C107
01/09/15 17:16:23 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C107
01/09/15 17:16:23 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C107
01/09/15 17:16:23 v1.34.3, final ECM pretested depth: 0.00
01/09/15 17:16:23 v1.34.3, scheduler: switching to sieve method
01/09/15 17:16:23 v1.34.3, nfs: commencing nfs on c107: 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349
01/09/15 17:16:23 v1.34.3, nfs: commencing poly selection with 8 threads
01/09/15 17:16:23 v1.34.3, nfs: setting deadline of 317 seconds
01/09/15 17:21:58 v1.34.3, nfs: completed 61 ranges of size 250 in 334.3389 seconds
01/09/15 17:21:58 v1.34.3, nfs: best poly = # norm 1.394468e-14 alpha -5.042026 e 4.599e-09 rroots 4
01/09/15 17:21:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 17:23:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
[29 lines snipped]
01/09/15 18:11:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:13:12 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:15:03 v1.34.3, nfs: commencing msieve filtering
01/09/15 18:15:43 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:17:26 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:19:12 v1.34.3, nfs: commencing msieve filtering
01/09/15 18:19:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:21:41 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:23:22 v1.34.3, nfs: commencing msieve filtering
01/09/15 18:24:09 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:25:50 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:27:36 v1.34.3, nfs: commencing msieve filtering
01/09/15 18:28:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:30:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
01/09/15 18:31:53 v1.34.3, nfs: commencing msieve filtering
01/09/15 18:33:00 v1.34.3, nfs: commencing msieve linear algebra
01/09/15 18:38:12 v1.34.3, nfs: commencing msieve sqrt
01/09/15 18:38:52 v1.34.3, prp77 = 40459720694951257224689054458392767544297550655720123653957114026225946350139
01/09/15 18:38:52 v1.34.3, prp30 = 923868407079322798935774735391
01/09/15 18:38:52 v1.34.3, NFS elapsed time = 4948.8559 seconds.
01/09/15 18:38:52 v1.34.3, 
01/09/15 18:38:52 v1.34.3, 
01/09/15 18:38:52 v1.34.3, Total factoring time = 4948.8779 seconds
--
Fri Jan  9 18:15:03 2015  
Fri Jan  9 18:15:03 2015  commencing relation filtering
Fri Jan  9 18:15:03 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 18:15:03 2015  commencing duplicate removal, pass 1
Fri Jan  9 18:15:16 2015  found 545497 hash collisions in 4597966 relations
Fri Jan  9 18:15:20 2015  added 158991 free relations
Fri Jan  9 18:15:20 2015  commencing duplicate removal, pass 2
Fri Jan  9 18:15:23 2015  found 342171 duplicates and 4414786 unique relations
Fri Jan  9 18:15:23 2015  memory use: 20.6 MB
Fri Jan  9 18:15:23 2015  reading ideals above 100000
Fri Jan  9 18:15:23 2015  commencing singleton removal, initial pass
Fri Jan  9 18:15:41 2015  memory use: 172.2 MB
Fri Jan  9 18:15:41 2015  reading all ideals from disk
Fri Jan  9 18:15:42 2015  memory use: 144.2 MB
Fri Jan  9 18:15:42 2015  keeping 5531777 ideals with weight <= 200, target excess is 21247
Fri Jan  9 18:15:42 2015  commencing in-memory singleton removal
Fri Jan  9 18:15:42 2015  begin with 4414786 relations and 5531777 unique ideals
Fri Jan  9 18:15:43 2015  reduce to 422 relations and 0 ideals in 23 passes
Fri Jan  9 18:15:43 2015  max relations containing the same ideal: 0
Fri Jan  9 18:19:12 2015  
Fri Jan  9 18:19:12 2015  commencing relation filtering
Fri Jan  9 18:19:12 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 18:19:12 2015  commencing duplicate removal, pass 1
Fri Jan  9 18:19:27 2015  found 623769 hash collisions in 5056884 relations
Fri Jan  9 18:19:30 2015  added 908 free relations
Fri Jan  9 18:19:30 2015  commencing duplicate removal, pass 2
Fri Jan  9 18:19:34 2015  found 380794 duplicates and 4676998 unique relations
Fri Jan  9 18:19:34 2015  memory use: 20.6 MB
Fri Jan  9 18:19:34 2015  reading ideals above 100000
Fri Jan  9 18:19:34 2015  commencing singleton removal, initial pass
Fri Jan  9 18:19:54 2015  memory use: 172.2 MB
Fri Jan  9 18:19:55 2015  reading all ideals from disk
Fri Jan  9 18:19:55 2015  memory use: 152.9 MB
Fri Jan  9 18:19:55 2015  keeping 5659241 ideals with weight <= 200, target excess is 22403
Fri Jan  9 18:19:55 2015  commencing in-memory singleton removal
Fri Jan  9 18:19:56 2015  begin with 4676998 relations and 5659241 unique ideals
Fri Jan  9 18:19:58 2015  reduce to 927038 relations and 1077184 ideals in 47 passes
Fri Jan  9 18:19:58 2015  max relations containing the same ideal: 66
Fri Jan  9 18:23:22 2015  
Fri Jan  9 18:23:22 2015  commencing relation filtering
Fri Jan  9 18:23:22 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 18:23:22 2015  commencing duplicate removal, pass 1
Fri Jan  9 18:23:38 2015  found 688298 hash collisions in 5358312 relations
Fri Jan  9 18:23:42 2015  added 774 free relations
Fri Jan  9 18:23:42 2015  commencing duplicate removal, pass 2
Fri Jan  9 18:23:46 2015  found 420589 duplicates and 4938497 unique relations
Fri Jan  9 18:23:46 2015  memory use: 20.6 MB
Fri Jan  9 18:23:46 2015  reading ideals above 100000
Fri Jan  9 18:23:46 2015  commencing singleton removal, initial pass
Fri Jan  9 18:24:07 2015  memory use: 172.2 MB
Fri Jan  9 18:24:07 2015  reading all ideals from disk
Fri Jan  9 18:24:07 2015  memory use: 161.5 MB
Fri Jan  9 18:24:07 2015  keeping 5777506 ideals with weight <= 200, target excess is 23655
Fri Jan  9 18:24:07 2015  commencing in-memory singleton removal
Fri Jan  9 18:24:08 2015  begin with 4938497 relations and 5777506 unique ideals
Fri Jan  9 18:24:09 2015  reduce to 1367466 relations and 1455753 ideals in 27 passes
Fri Jan  9 18:24:09 2015  max relations containing the same ideal: 86
Fri Jan  9 18:27:36 2015  
Fri Jan  9 18:27:36 2015  commencing relation filtering
Fri Jan  9 18:27:36 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 18:27:36 2015  commencing duplicate removal, pass 1
Fri Jan  9 18:27:54 2015  found 752124 hash collisions in 5649872 relations
Fri Jan  9 18:27:57 2015  added 625 free relations
Fri Jan  9 18:27:57 2015  commencing duplicate removal, pass 2
Fri Jan  9 18:28:01 2015  found 459966 duplicates and 5190531 unique relations
Fri Jan  9 18:28:01 2015  memory use: 20.6 MB
Fri Jan  9 18:28:01 2015  reading ideals above 100000
Fri Jan  9 18:28:01 2015  commencing singleton removal, initial pass
Fri Jan  9 18:28:22 2015  memory use: 172.2 MB
Fri Jan  9 18:28:23 2015  reading all ideals from disk
Fri Jan  9 18:28:23 2015  memory use: 169.8 MB
Fri Jan  9 18:28:23 2015  keeping 5884291 ideals with weight <= 200, target excess is 24880
Fri Jan  9 18:28:24 2015  commencing in-memory singleton removal
Fri Jan  9 18:28:24 2015  begin with 5190531 relations and 5884291 unique ideals
Fri Jan  9 18:28:25 2015  reduce to 1744741 relations and 1756166 ideals in 21 passes
Fri Jan  9 18:28:25 2015  max relations containing the same ideal: 96
Fri Jan  9 18:31:53 2015  
Fri Jan  9 18:31:53 2015  commencing relation filtering
Fri Jan  9 18:31:53 2015  estimated available RAM is 15987.3 MB
Fri Jan  9 18:31:53 2015  commencing duplicate removal, pass 1
Fri Jan  9 18:32:11 2015  found 820378 hash collisions in 5952230 relations
Fri Jan  9 18:32:14 2015  added 537 free relations
Fri Jan  9 18:32:14 2015  commencing duplicate removal, pass 2
Fri Jan  9 18:32:18 2015  found 502315 duplicates and 5450452 unique relations
Fri Jan  9 18:32:18 2015  memory use: 20.6 MB
Fri Jan  9 18:32:18 2015  reading ideals above 100000
Fri Jan  9 18:32:18 2015  commencing singleton removal, initial pass
Fri Jan  9 18:32:41 2015  memory use: 172.2 MB
Fri Jan  9 18:32:41 2015  reading all ideals from disk
Fri Jan  9 18:32:41 2015  memory use: 178.4 MB
Fri Jan  9 18:32:42 2015  keeping 5987570 ideals with weight <= 200, target excess is 26228
Fri Jan  9 18:32:42 2015  commencing in-memory singleton removal
Fri Jan  9 18:32:42 2015  begin with 5450452 relations and 5987570 unique ideals
Fri Jan  9 18:32:45 2015  reduce to 2117731 relations and 2035041 ideals in 23 passes
Fri Jan  9 18:32:45 2015  max relations containing the same ideal: 104
Fri Jan  9 18:32:46 2015  removing 268870 relations and 242737 ideals in 26133 cliques
Fri Jan  9 18:32:46 2015  commencing in-memory singleton removal
Fri Jan  9 18:32:46 2015  begin with 1848861 relations and 2035041 unique ideals
Fri Jan  9 18:32:46 2015  reduce to 1818996 relations and 1761913 ideals in 10 passes
Fri Jan  9 18:32:46 2015  max relations containing the same ideal: 95
Fri Jan  9 18:32:47 2015  removing 197433 relations and 171300 ideals in 26133 cliques
Fri Jan  9 18:32:47 2015  commencing in-memory singleton removal
Fri Jan  9 18:32:47 2015  begin with 1621563 relations and 1761913 unique ideals
Fri Jan  9 18:32:47 2015  reduce to 1602003 relations and 1570761 ideals in 10 passes
Fri Jan  9 18:32:47 2015  max relations containing the same ideal: 89
Fri Jan  9 18:32:48 2015  relations with 0 large ideals: 517
Fri Jan  9 18:32:48 2015  relations with 1 large ideals: 184
Fri Jan  9 18:32:48 2015  relations with 2 large ideals: 3282
Fri Jan  9 18:32:48 2015  relations with 3 large ideals: 28271
Fri Jan  9 18:32:48 2015  relations with 4 large ideals: 127756
Fri Jan  9 18:32:48 2015  relations with 5 large ideals: 343536
Fri Jan  9 18:32:48 2015  relations with 6 large ideals: 475402
Fri Jan  9 18:32:48 2015  relations with 7+ large ideals: 623055
Fri Jan  9 18:32:48 2015  commencing 2-way merge
Fri Jan  9 18:32:48 2015  reduce to 915788 relation sets and 884546 unique ideals
Fri Jan  9 18:32:48 2015  commencing full merge
Fri Jan  9 18:32:57 2015  memory use: 103.7 MB
Fri Jan  9 18:32:57 2015  found 441656 cycles, need 438746
Fri Jan  9 18:32:57 2015  weight of 438746 cycles is about 30763172 (70.12/cycle)
Fri Jan  9 18:32:57 2015  distribution of cycle lengths:
Fri Jan  9 18:32:57 2015  1 relations: 53211
Fri Jan  9 18:32:57 2015  2 relations: 48396
Fri Jan  9 18:32:57 2015  3 relations: 46111
Fri Jan  9 18:32:57 2015  4 relations: 41562
Fri Jan  9 18:32:57 2015  5 relations: 37370
Fri Jan  9 18:32:57 2015  6 relations: 32500
Fri Jan  9 18:32:57 2015  7 relations: 27886
Fri Jan  9 18:32:57 2015  8 relations: 24879
Fri Jan  9 18:32:57 2015  9 relations: 21475
Fri Jan  9 18:32:57 2015  10+ relations: 105356
Fri Jan  9 18:32:57 2015  heaviest cycle: 27 relations
Fri Jan  9 18:32:57 2015  commencing cycle optimization
Fri Jan  9 18:32:57 2015  start with 2882647 relations
Fri Jan  9 18:33:00 2015  pruned 63566 relations
Fri Jan  9 18:33:00 2015  memory use: 93.7 MB
Fri Jan  9 18:33:00 2015  distribution of cycle lengths:
Fri Jan  9 18:33:00 2015  1 relations: 53211
Fri Jan  9 18:33:00 2015  2 relations: 49357
Fri Jan  9 18:33:00 2015  3 relations: 47603
Fri Jan  9 18:33:00 2015  4 relations: 42383
Fri Jan  9 18:33:00 2015  5 relations: 38086
Fri Jan  9 18:33:00 2015  6 relations: 32881
Fri Jan  9 18:33:00 2015  7 relations: 28277
Fri Jan  9 18:33:00 2015  8 relations: 24828
Fri Jan  9 18:33:00 2015  9 relations: 21416
Fri Jan  9 18:33:00 2015  10+ relations: 100704
Fri Jan  9 18:33:00 2015  heaviest cycle: 27 relations
Fri Jan  9 18:33:00 2015  RelProcTime: 67
Fri Jan  9 18:33:00 2015  
Fri Jan  9 18:33:00 2015  commencing linear algebra
Fri Jan  9 18:33:00 2015  read 438746 cycles
Fri Jan  9 18:33:01 2015  cycles contain 1559123 unique relations
Fri Jan  9 18:33:08 2015  read 1559123 relations
Fri Jan  9 18:33:09 2015  using 20 quadratic characters above 67108440
Fri Jan  9 18:33:14 2015  building initial matrix
Fri Jan  9 18:33:21 2015  memory use: 190.5 MB
Fri Jan  9 18:33:21 2015  read 438746 cycles
Fri Jan  9 18:33:21 2015  matrix is 438578 x 438746 (131.3 MB) with weight 41303307 (94.14/col)
Fri Jan  9 18:33:21 2015  sparse part has weight 29597951 (67.46/col)
Fri Jan  9 18:33:23 2015  filtering completed in 2 passes
Fri Jan  9 18:33:23 2015  matrix is 438046 x 438221 (131.3 MB) with weight 41281849 (94.20/col)
Fri Jan  9 18:33:23 2015  sparse part has weight 29591612 (67.53/col)
Fri Jan  9 18:33:24 2015  matrix starts at (0, 0)
Fri Jan  9 18:33:24 2015  matrix is 438046 x 438221 (131.3 MB) with weight 41281849 (94.20/col)
Fri Jan  9 18:33:24 2015  sparse part has weight 29591612 (67.53/col)
Fri Jan  9 18:33:24 2015  saving the first 48 matrix rows for later
Fri Jan  9 18:33:24 2015  matrix includes 64 packed rows
Fri Jan  9 18:33:24 2015  matrix is 437998 x 438221 (125.9 MB) with weight 32612254 (74.42/col)
Fri Jan  9 18:33:24 2015  sparse part has weight 28630753 (65.33/col)
Fri Jan  9 18:33:24 2015  using block size 65536 for processor cache size 8192 kB
Fri Jan  9 18:33:25 2015  commencing Lanczos iteration (8 threads)
Fri Jan  9 18:33:25 2015  memory use: 120.0 MB
Fri Jan  9 18:33:33 2015  linear algebra at 2.8%, ETA 0h 4m
Fri Jan  9 18:38:11 2015  lanczos halted after 6928 iterations (dim = 437992)
Fri Jan  9 18:38:12 2015  recovered 29 nontrivial dependencies
Fri Jan  9 18:38:12 2015  BLanczosTime: 312
Fri Jan  9 18:38:12 2015  
Fri Jan  9 18:38:12 2015  commencing square root phase
Fri Jan  9 18:38:12 2015  reading relations for dependency 1
Fri Jan  9 18:38:12 2015  read 219143 cycles
Fri Jan  9 18:38:12 2015  cycles contain 778116 unique relations
Fri Jan  9 18:38:17 2015  read 778116 relations
Fri Jan  9 18:38:19 2015  multiplying 778116 relations
Fri Jan  9 18:38:32 2015  multiply complete, coefficients have about 30.78 million bits
Fri Jan  9 18:38:32 2015  initial square root is modulo 688855913
Fri Jan  9 18:38:52 2015  sqrtTime: 40
--
n: 37379457709318929244503940436803403770161745930935707608496046430690500585971188031217512749101884961069349
skew: 26618694.13
c0: 9629492144218280700862550128320
c1: 764077746580639500139624
c2: -74810924331001390
c3: -2660496509
c4: 60
Y0: -157987353418633716851651111
Y1: 61935624882227
rlim: 2780000
alim: 2780000
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)

7×10213-3679

c151

composite cofactor 合成数の残り
8273248223038420830521033034939214933339335841087124474272803073311883346144515185239237760717808796013882607448154731379707761909672493132434756202881<151>

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 00:05:48 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 48 秒 (日本時間)
4511e6585 / 4409CypJanuary 26, 2015 17:58:31 UTC 2015 年 1 月 27 日 (火) 2 時 58 分 31 秒 (日本時間)

7×10214-3679

c179

name 名前Cyp
date 日付May 17, 2015 11:24:18 UTC 2015 年 5 月 17 日 (日) 20 時 24 分 18 秒 (日本時間)
composite number 合成数
47995536105792228305630368032982016049246724826617323300577909752455982911839650977679617637977246168639529782979219972109706642851470464427326726076252781809883967253315328841921<179>
prime factors 素因数
77488809038859309935226320322417205050533<41>
619386679200648049305052393297801378219030047977627131190631419230494193371551324609096785362301101653123892463336681186152177237721523437<138>
factorization results 素因数分解の結果
Run 228 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3486639167
Step 1 took 59507ms
Step 2 took 19072ms
********** Factor found in step 2: 77488809038859309935226320322417205050533
Found probable prime factor of 41 digits: 77488809038859309935226320322417205050533
Probable prime cofactor 619386679200648049305052393297801378219030047977627131190631419230494193371551324609096785362301101653123892463336681186152177237721523437 has 138 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 / 1532Serge BatalovJanuary 9, 2015 00:05:49 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 49 秒 (日本時間)
4511e6228 / 4409CypMay 17, 2015 11:24:17 UTC 2015 年 5 月 17 日 (日) 20 時 24 分 17 秒 (日本時間)

7×10215-3679

c205

name 名前Serge Batalov
date 日付January 9, 2015 03:52:24 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 24 秒 (日本時間)
composite number 合成数
3439932017582392998125287366794635853338729534835992903182538596731108418810281730513962954347111026119374093404666719436078885196374309882394587584698180652036215249457034008456971544485829594778397066729<205>
prime factors 素因数
8035237196823225140555992480671498993199<40>
composite cofactor 合成数の残り
428105845953419879967093036309706216299866966399667018290481127289186822462252346572882061802947523918801980617854808949655738914963846792624056983156681007464730471<165>
factorization results 素因数分解の結果
Input number is 3439932017582392998125287366794635853338729534835992903182538596731108418810281730513962954347111026119374093404666719436078885196374309882394587584698180652036215249457034008456971544485829594778397066729 (205 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=529765281
Step 1 took 16486ms
Step 2 took 11151ms
********** Factor found in step 2: 8035237196823225140555992480671498993199
Found probable prime factor of 40 digits: 8035237196823225140555992480671498993199
Composite cofactor 428105845953419879967093036309706216299866966399667018290481127289186822462252346572882061802947523918801980617854808949655738914963846792624056983156681007464730471 has 165 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 00:05:49 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 49 秒 (日本時間)
1CypJanuary 9, 2015 00:58:24 UTC 2015 年 1 月 9 日 (金) 9 時 58 分 24 秒 (日本時間)
4511e6585 / 4409CypJune 22, 2015 04:19:34 UTC 2015 年 6 月 22 日 (月) 13 時 19 分 34 秒 (日本時間)

7×10216-3679

c213

name 名前Bob Backstrom
date 日付October 27, 2017 08:50:51 UTC 2017 年 10 月 27 日 (金) 17 時 50 分 51 秒 (日本時間)
composite number 合成数
404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497<213>
prime factors 素因数
210872183583348279617791646440724104210113193851485706776965948311031867853947<78>
1920033784533972394709776044980923505428757144486076867569774158903400623675825809470224653143262484240713208171888454202194956161152651<136>
factorization results 素因数分解の結果
Number: n
N=404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497
  ( 213 digits)
SNFS difficulty: 216 digits.
Divisors found:

Fri Oct 27 19:44:59 2017  p78 factor: 210872183583348279617791646440724104210113193851485706776965948311031867853947
Fri Oct 27 19:44:59 2017  p136 factor: 1920033784533972394709776044980923505428757144486076867569774158903400623675825809470224653143262484240713208171888454202194956161152651
Fri Oct 27 19:44:59 2017  elapsed time 04:55:59 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.124).
Factorization parameters were as follows:
#
# 7x10^216-367 7(214)37
#
n: 404881716698478801550118572502747411649025391867661518884840071721904100873387703163861414772398634970212273700040488171669847880155011857250274741164902539186766151888484007172190410087338770316386141477239863497
m: 1000000000000000000000000000000000000
deg: 6
c6: 7
c0: -367
skew: 1.93
# Murphy_E = 3.476e-12
type: snfs
lss: 1
rlim: 29000000
alim: 29000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 29000000/29000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 51300000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12182265 hash collisions in 68715251 relations (59019605 unique)
Msieve: matrix is 3555503 x 3555731 (1003.0 MB)

Sieving start time: 2017/10/26 09:34:10
Sieving end time  : 2017/10/27 14:47:00

Total sieving time: 29hrs 12min 50secs.

Total relation processing time: 4hrs 31min 47sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 5min 12sec.

Prototype def-par.txt line would be:
snfs,216,6,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 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 00:05:50 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 50 秒 (日本時間)
1CypJanuary 9, 2015 01:05:52 UTC 2015 年 1 月 9 日 (金) 10 時 5 分 52 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 20:09:06 UTC 2015 年 1 月 11 日 (日) 5 時 9 分 6 秒 (日本時間)

7×10217-3679

c179

composite cofactor 合成数の残り
60771281849827419977765712390991833440702431765834549399058558997810966234986077027600152309594436621743689580059648658933239200302817177530922464079677983520897962609307675278653<179>

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 00:05:50 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 50 秒 (日本時間)
4511e6585 / 4409CypMay 11, 2015 18:27:24 UTC 2015 年 5 月 12 日 (火) 3 時 27 分 24 秒 (日本時間)

7×10218-3679

c197

name 名前Serge Batalov
date 日付January 9, 2015 03:52:28 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 28 秒 (日本時間)
composite number 合成数
32267277832403691678704522748490206349906863011666876982574452865172370756386086112138846130264357552113017514650997864731856634767349820662037537803198131300553088189071287348223225958916792486297<197>
prime factors 素因数
115786311743225223979251099121<30>
composite cofactor 合成数の残り
278679555006135543871256130133035989954213922224674501738999115393856447215133105681233578115600826589901828382399716333113077805891963976657263813726992518576008828457<168>
factorization results 素因数分解の結果
Input number is 32267277832403691678704522748490206349906863011666876982574452865172370756386086112138846130264357552113017514650997864731856634767349820662037537803198131300553088189071287348223225958916792486297 (197 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=537974690
Step 1 took 18941ms
Step 2 took 12701ms
********** Factor found in step 2: 115786311743225223979251099121
Found probable prime factor of 30 digits: 115786311743225223979251099121
Composite cofactor 278679555006135543871256130133035989954213922224674501738999115393856447215133105681233578115600826589901828382399716333113077805891963976657263813726992518576008828457 has 168 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 00:05:51 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 51 秒 (日本時間)
4511e6585 / 4409CypJune 17, 2015 07:41:23 UTC 2015 年 6 月 17 日 (水) 16 時 41 分 23 秒 (日本時間)

7×10219-3679

c209

composite cofactor 合成数の残り
25218432300785909656359355840040441395142038545824204469297811548926973745246842592739726233437774308137309111944710447378556595506965769922887313647104185234101989565783476051721384227736514149088393890502291<209>

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 00:05:51 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 51 秒 (日本時間)
4511e6585 / 4409CypMay 21, 2015 20:59:00 UTC 2015 年 5 月 22 日 (金) 5 時 59 分 0 秒 (日本時間)

7×10220-3679

c184

name 名前Erik Branger
date 日付February 10, 2018 07:43:11 UTC 2018 年 2 月 10 日 (土) 16 時 43 分 11 秒 (日本時間)
composite number 合成数
4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147<184>
prime factors 素因数
163256747256708720021149743464252585343402553<45>
24692924378477507256582798866272806133106898412862935344521111712315853796898443958340637104459954861020225391191955031872551225960227222899<140>
factorization results 素因数分解の結果
Number: 77737_220
N = 4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147 (184 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=163256747256708720021149743464252585343402553 (pp45)
r2=24692924378477507256582798866272806133106898412862935344521111712315853796898443958340637104459954861020225391191955031872551225960227222899 (pp140)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 65.03 hours.
Factorization parameters were as follows:
n: 4031286514286123658156607531678056206985700106453785398746730080732537594904069405969777428647861770365860909785615407774408065626506349416283556757281081469102621993253848718616661147
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 7
c0: -367
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 67108864
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/67108864
Large primes per side: 3
Large prime bits: 29/29
Total raw relations: 30695613
Relations: 8843708 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 25.34 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7504405 x 7504630
Matrix solve time: 39.26 hours.
time per square root: 0.15 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,67108864,29,29,58,58,2.8,2.8,100000
total time: 65.03 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 00:05:52 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 52 秒 (日本時間)
4511e6600 / 4409Dmitry DomanovJanuary 16, 2017 06:53:47 UTC 2017 年 1 月 16 日 (月) 15 時 53 分 47 秒 (日本時間)

7×10222-3679

c201

name 名前Cyp
date 日付June 4, 2015 18:00:09 UTC 2015 年 6 月 5 日 (金) 3 時 0 分 9 秒 (日本時間)
composite number 合成数
256430081548574513349282547384151878309851389823796831798564665260002053148845335134801285591438873597365539379683108511746186470641128306322600925259040571799392545624182444756577270912242000145219803<201>
prime factors 素因数
136763056677312188361581494955719199<36>
composite cofactor 合成数の残り
1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597<166>
factorization results 素因数分解の結果
Run 101 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2097021839
Step 1 took 69276ms
Step 2 took 21150ms
********** Factor found in step 2: 136763056677312188361581494955719199
Found probable prime factor of 36 digits: 136763056677312188361581494955719199
Composite cofactor 1874995249291719379858980766385413258090541255701240656111333921518366266260532700498014397125148868887270415985958986007460918808100870589767434110643446908225542597 has 166 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 00:05:53 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 53 秒 (日本時間)
1CypJanuary 9, 2015 00:19:31 UTC 2015 年 1 月 9 日 (金) 9 時 19 分 31 秒 (日本時間)
4511e6585 / 4409CypJune 4, 2015 18:00:08 UTC 2015 年 6 月 5 日 (金) 3 時 0 分 8 秒 (日本時間)

7×10223-3679

c201

composite cofactor 合成数の残り
166153640082904426689342035205992977888471936069353740221859078758927243292018999951602217561065972118111453430944796088685836560154844106404020527009336492748727982674168033365362069735308819216234309<201>

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 00:05:53 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 53 秒 (日本時間)
4511e6585 / 4409CypFebruary 9, 2015 18:17:06 UTC 2015 年 2 月 10 日 (火) 3 時 17 分 6 秒 (日本時間)

7×10224-3679

c200

name 名前Serge Batalov
date 日付January 9, 2015 03:52:32 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 32 秒 (日本時間)
composite number 合成数
94105131147590851482778351631358295652168212150059804508631996411966229489868879121975112019349739301935255246444360558682294944568704941508508232655081590101395990322565388214072410972328114933894121<200>
prime factors 素因数
172300356716145588549969860640488093<36>
546169102264967219762591350507410333015750166448838629561620062635554892093707038444702452835044763824939698727264725592482417355741058304973203483119470728153988797<165>
factorization results 素因数分解の結果
Input number is 94105131147590851482778351631358295652168212150059804508631996411966229489868879121975112019349739301935255246444360558682294944568704941508508232655081590101395990322565388214072410972328114933894121 (200 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4025152681
Step 1 took 16126ms
Step 2 took 10792ms
********** Factor found in step 2: 172300356716145588549969860640488093
Found probable prime factor of 36 digits: 172300356716145588549969860640488093
Probable prime cofactor 546169102264967219762591350507410333015750166448838629561620062635554892093707038444702452835044763824939698727264725592482417355741058304973203483119470728153988797 has 165 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 00:05:54 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 54 秒 (日本時間)
1CypJanuary 9, 2015 00:43:20 UTC 2015 年 1 月 9 日 (金) 9 時 43 分 20 秒 (日本時間)

7×10225-3679

c206

name 名前Cyp
date 日付January 8, 2015 19:43:14 UTC 2015 年 1 月 9 日 (金) 4 時 43 分 14 秒 (日本時間)
composite number 合成数
40317164003827123374668500456292506276542024061092371311142642866372893366473017461396682163784553567298544416352662102561771844189582221022044843619771160748232075697255686661073143885361140729977570837751<206>
prime factors 素因数
8817951537887474405825366680134832759<37>
4572168925016109495386833535032506331261220626945030879132247691130661509375977085115052720731966050282632194121065584473862366257400823753341953746257108061311880085889<169>
factorization results 素因数分解の結果
Run 274 out of 281:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=252859711
Step 1 took 18798ms
Step 2 took 6355ms
********** Factor found in step 2: 8817951537887474405825366680134832759
Found probable prime factor of 37 digits: 8817951537887474405825366680134832759
Probable prime cofactor 4572168925016109495386833535032506331261220626945030879132247691130661509375977085115052720731966050282632194121065584473862366257400823753341953746257108061311880085889 has 169 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
3025e40--
351e6118 / 135Makoto KamadaJanuary 7, 2015 17:00:00 UTC 2015 年 1 月 8 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6274 / 2318CypJanuary 8, 2015 19:43:14 UTC 2015 年 1 月 9 日 (金) 4 時 43 分 14 秒 (日本時間)

7×10226-3679

c195

composite cofactor 合成数の残り
456784192270299773427008396666991647729485949610382495096307714800915200503956914465879032181639431580537578540304805937081727183819194025876552837656610338829438794455729109310943173812764984981<195>

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 00:05:54 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 54 秒 (日本時間)
4511e6585 / 4409CypJune 29, 2015 21:57:58 UTC 2015 年 6 月 30 日 (火) 6 時 57 分 58 秒 (日本時間)

7×10228-3679

c199

composite cofactor 合成数の残り
2961036427913972981841623332107288229803241138020324558637728596817608320258176255808684421173784241128057311365113936383721275500898069201244075814984278320993364045415645785737611733371028178469133<199>

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 00:05:55 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 55 秒 (日本時間)
1CypJanuary 9, 2015 00:37:16 UTC 2015 年 1 月 9 日 (金) 9 時 37 分 16 秒 (日本時間)
4511e6585 / 4409CypJune 6, 2015 22:30:31 UTC 2015 年 6 月 7 日 (日) 7 時 30 分 31 秒 (日本時間)

7×10229-3679

c216

composite cofactor 合成数の残り
442710138261439991936932307726878562386512305910964761611462281946713364162825662245371471400789095593483657333337388244533350734882649346070758197789519784320273142546718372377631864474836116120907439990743195827027<216>

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 00:05:56 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 56 秒 (日本時間)

7×10231-3679

c230

composite cofactor 合成数の残り
70707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707067<230>

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 00:05:56 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 56 秒 (日本時間)
1CypJanuary 9, 2015 00:14:39 UTC 2015 年 1 月 9 日 (金) 9 時 14 分 39 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:57 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 57 秒 (日本時間)
4511e6436KTakahashiMarch 14, 2015 01:28:40 UTC 2015 年 3 月 14 日 (土) 10 時 28 分 40 秒 (日本時間)
5043e61000 / 7364Serge BatalovJanuary 11, 2015 21:22:47 UTC 2015 年 1 月 12 日 (月) 6 時 22 分 47 秒 (日本時間)

7×10232-3679

c229

name 名前Serge Batalov
date 日付January 9, 2015 03:52:36 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 36 秒 (日本時間)
composite number 合成数
2210223864102806984307410564870070411417384989422500078936566575100249439550377316788228979192321050803574247734520539294622841084904171008177828297180385841937419090019260522244324460863250292065296327870922926336396072116447223<229>
prime factors 素因数
6812036649310930743390102666726845567<37>
324458598490714437006162660452421031552682007665461978147450946715311712513788124703073922759100203300525092496424953232094168093512187136038189880583506484216352153510400264124624014667999369<192>
factorization results 素因数分解の結果
Input number is 2210223864102806984307410564870070411417384989422500078936566575100249439550377316788228979192321050803574247734520539294622841084904171008177828297180385841937419090019260522244324460863250292065296327870922926336396072116447223 (229 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3962516753
Step 1 took 20026ms
Step 2 took 3395ms
********** Factor found in step 2: 6812036649310930743390102666726845567
Found probable prime factor of 37 digits: 6812036649310930743390102666726845567
Probable prime cofactor 324458598490714437006162660452421031552682007665461978147450946715311712513788124703073922759100203300525092496424953232094168093512187136038189880583506484216352153510400264124624014667999369 has 192 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 00:05:57 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 57 秒 (日本時間)

7×10233-3679

c184

composite cofactor 合成数の残り
1045058379458293257334448436334281852075665521043576547388921540608001814780833731420029085166868348449970930409136635165011571114427906990567697458102892534251006889935057932658110977<184>

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 00:05:57 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 57 秒 (日本時間)
4511e6585 / 4409CypJune 10, 2015 19:05:03 UTC 2015 年 6 月 11 日 (木) 4 時 5 分 3 秒 (日本時間)

7×10234-3679

c216

composite cofactor 合成数の残り
463569285216242206263147738857082881096019376944367862661377354362067750841440010506920792184909556724480396088947404544285294061979596742134438315005853066329925413853263847109206230730679366578155287079263443367551<216>

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 00:05:58 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 58 秒 (日本時間)

7×10236-3679

c190

name 名前Cyp
date 日付June 17, 2015 09:40:08 UTC 2015 年 6 月 17 日 (水) 18 時 40 分 8 秒 (日本時間)
composite number 合成数
1610319546479409470679697654663892516470628326726218503698679711048131406716857142735551264256434641923955730260083587033383661338808734808360025173319003523225803793470483152267188716756147<190>
prime factors 素因数
3935907909741538996128698642680778372521<40>
composite cofactor 合成数の残り
409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507<150>
factorization results 素因数分解の結果
Run 423 out of 585:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=630661390
Step 1 took 59280ms
Step 2 took 19517ms
********** Factor found in step 2: 3935907909741538996128698642680778372521
Found probable prime factor of 40 digits: 3935907909741538996128698642680778372521
Composite cofactor 409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507 has 150 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

c150

name 名前Lionel Debroux
date 日付December 29, 2017 14:58:19 UTC 2017 年 12 月 29 日 (金) 23 時 58 分 19 秒 (日本時間)
composite number 合成数
409135473544439467307392803782256066363277342201201530618811347629083852464732175353236927259952698406652854322764621579418483256743216138730495328507<150>
prime factors 素因数
9074341566728810810003139692077733845511259263573<49>
45087070013381456098725829515180827346956784278370779114897994839326553730714908122290336502190994959<101>
factorization results 素因数分解の結果
9074341566728810810003139692077733845511259263573
software ソフトウェア
GMP-ECM 7.0.4
execution environment 実行環境
Core i7-6700HQ @ 2.6 GHz (+ turbo), Debian sid amd64

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 00:05:58 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 58 秒 (日本時間)
4511e61385 / 4409585CypJune 17, 2015 09:40:08 UTC 2015 年 6 月 17 日 (水) 18 時 40 分 8 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:16:51 UTC 2016 年 3 月 1 日 (火) 22 時 16 分 51 秒 (日本時間)

7×10237-3679

c234

composite cofactor 合成数の残り
556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221029189533126541000556748588244651236777221<234>

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 00:05:59 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 59 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 08:39:59 UTC 2015 年 1 月 10 日 (土) 17 時 39 分 59 秒 (日本時間)

7×10238-3679

c224

composite cofactor 合成数の残り
10102680082991035281136325734893201368974957758695599519618713332279878652077258135159758667311047283164376762924848174156664177754070255349578291695004504353784212920757520941889669013966620154618202851614056102780900132871<224>

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 00:05:59 UTC 2015 年 1 月 9 日 (金) 9 時 5 分 59 秒 (日本時間)
4511e6585 / 4409CypMay 27, 2015 21:42:28 UTC 2015 年 5 月 28 日 (木) 6 時 42 分 28 秒 (日本時間)

7×10239-3679

c221

composite cofactor 合成数の残り
22654491206208622427912520988014316452558404784524267565076345233264597577684271103507801526783620029575802383650052725903770290700471905208860908275184808005745871395662012680755162572889009693994080467824998028445873107<221>

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 00:06:00 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 0 秒 (日本時間)
1CypJanuary 9, 2015 00:40:04 UTC 2015 年 1 月 9 日 (金) 9 時 40 分 4 秒 (日本時間)

7×10240-3679

c222

composite cofactor 合成数の残り
117412726143410957719964529667763760350608787873227747884887178548004754286622251605105734498866593043617779725576744033202167746651932440356056815466346927685730793189581581406927901512753301681689121924583184990757739881<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)
403e6301 / 2318300Serge BatalovJanuary 9, 2015 00:06:01 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 1 秒 (日本時間)
1CypJanuary 9, 2015 00:32:29 UTC 2015 年 1 月 9 日 (金) 9 時 32 分 29 秒 (日本時間)

7×10241-3679

c231

composite cofactor 合成数の残り
233472644109003649633402832995415169301024499791041935160251168141634183264230874425298003189085368458602921318352576640003976941534299048325077490438347566612170819876993779360150176787109921577341622795825460831849307238239867173<231>

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 00:06:02 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 2 秒 (日本時間)
1CypJanuary 9, 2015 00:29:50 UTC 2015 年 1 月 9 日 (金) 9 時 29 分 50 秒 (日本時間)

7×10242-3679

c213

name 名前Serge Batalov
date 日付January 9, 2015 03:52:39 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 39 秒 (日本時間)
composite number 合成数
781272879972312904960066401107021702880755154748550414677201151666070388705556611671933206770587606434839974808844244526547044523187657734648792194677713571156290328669443621957529403650017857496773897508507021093<213>
prime factors 素因数
54190919947211301117690218187619<32>
14417044049692640428918482642398197077900227333106513334835163241309487125521013706386578785706110173152878878191743805144735048959050172866749349417894714054493065169336476483737047<182>
factorization results 素因数分解の結果
Input number is 781272879972312904960066401107021702880755154748550414677201151666070388705556611671933206770587606434839974808844244526547044523187657734648792194677713571156290328669443621957529403650017857496773897508507021093 (213 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=3896209700
Step 1 took 21858ms
Step 2 took 13992ms
********** Factor found in step 2: 54190919947211301117690218187619
Found probable prime factor of 32 digits: 54190919947211301117690218187619
Probable prime cofactor 14417044049692640428918482642398197077900227333106513334835163241309487125521013706386578785706110173152878878191743805144735048959050172866749349417894714054493065169336476483737047 has 182 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 00:06:03 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 3 秒 (日本時間)

7×10243-3679

c222

composite cofactor 合成数の残り
642682905357990798205517888511177830683220547775454277133572838353605330854508381865376893053763653974458784193620903329642621958118505535580048828138573015212124348242634776825236878191521558579043497810478123285675126621<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)
403e6300 / 2318Serge BatalovJanuary 9, 2015 00:06:03 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 3 秒 (日本時間)

7×10244-3679

c243

composite cofactor 合成数の残り
136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241715399610136452241<243>

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 00:06:04 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 4 秒 (日本時間)
2100Serge BatalovJanuary 9, 2015 18:41:17 UTC 2015 年 1 月 10 日 (土) 3 時 41 分 17 秒 (日本時間)
4511e639502100Serge BatalovJanuary 9, 2015 20:57:03 UTC 2015 年 1 月 10 日 (土) 5 時 57 分 3 秒 (日本時間)
1850Serge BatalovMarch 18, 2015 22:54:43 UTC 2015 年 3 月 19 日 (木) 7 時 54 分 43 秒 (日本時間)

7×10245-3679

c239

composite cofactor 合成数の残り
98050380246378194043663515187373576290969826116054951355105280195069830780451611647096511129348481836937455203232524935962596301231498768697332063160693227394099636275110877471062181169928732781477778912360749200154023140169882088814874859<239>

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 00:06:05 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 5 秒 (日本時間)

7×10247-3679

c229

name 名前Serge Batalov
date 日付January 9, 2015 01:58:35 UTC 2015 年 1 月 9 日 (金) 10 時 58 分 35 秒 (日本時間)
composite number 合成数
2494342722477007874352551533882076025541143669334484391321982191375582981173450689352217046950934610177153398737610440282850672389610082026813481870949181397543962107724062453644510687873266980477797811649675261304149777838450479<229>
prime factors 素因数
7971424269072586275270598405849<31>
2865270010169192652673508005530627847<37>
composite cofactor 合成数の残り
109208048507065619557883790022406286409990927204257433821092013486322270605976232924776616649592953240909218820678080688557865698183245138313569834967361099283393<162>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=4196485187
Step 1 took 18273ms
Step 2 took 12185ms
********** Factor found in step 2: 2865270010169192652673508005530627847
Found probable prime factor of 37 digits: 2865270010169192652673508005530627847

Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=602668143
Step 1 took 18336ms
Step 2 took 12266ms
********** Factor found in step 2: 7971424269072586275270598405849
Found probable prime factor of 31 digits: 7971424269072586275270598405849

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 00:06:05 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 5 秒 (日本時間)
2100Serge BatalovJanuary 10, 2015 23:39:24 UTC 2015 年 1 月 11 日 (日) 8 時 39 分 24 秒 (日本時間)
4511e639682600Serge BatalovJune 22, 2015 18:19:33 UTC 2015 年 6 月 23 日 (火) 3 時 19 分 33 秒 (日本時間)
1368Ignacio SantosJanuary 16, 2016 12:06:58 UTC 2016 年 1 月 16 日 (土) 21 時 6 分 58 秒 (日本時間)

7×10249-3679

c211

composite cofactor 合成数の残り
2143886010005993793652387893348356264220301102593110171700522695091014088213090888826211304820410718576478901933072586758789081802814711961900811262018407836931884190315792917826796513983843016466451403037670793<211>

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 00:06:06 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 6 秒 (日本時間)
1CypJanuary 9, 2015 00:47:21 UTC 2015 年 1 月 9 日 (金) 9 時 47 分 21 秒 (日本時間)
4511e6585 / 4409CypMay 19, 2015 18:02:29 UTC 2015 年 5 月 20 日 (水) 3 時 2 分 29 秒 (日本時間)

7×10250-3679

c246

name 名前Serge Batalov
date 日付January 9, 2015 03:52:43 UTC 2015 年 1 月 9 日 (金) 12 時 52 分 43 秒 (日本時間)
composite number 合成数
978706150469079876403394712190484179914153489087426422269759378102148959076101393957188596675195391692182934161039106301469457377347147071571382632160284104413964738615550242579310151979083651412832235784293164436614795240691805433217286746920571<246>
prime factors 素因数
40776765455537402341079211790579<32>
composite cofactor 合成数の残り
24001564114648862103047835146960213518489526223100717883357981193686678897091031806111999729889977155507169711835842395383330735608836559604670774495245133367204514533645425749172106515372809362171240427568916661849<215>
factorization results 素因数分解の結果
Input number is 978706150469079876403394712190484179914153489087426422269759378102148959076101393957188596675195391692182934161039106301469457377347147071571382632160284104413964738615550242579310151979083651412832235784293164436614795240691805433217286746920571 (246 digits)
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=558934117
Step 1 took 24621ms
Step 2 took 15841ms
********** Factor found in step 2: 40776765455537402341079211790579
Found probable prime factor of 32 digits: 40776765455537402341079211790579
Composite cofactor 24001564114648862103047835146960213518489526223100717883357981193686678897091031806111999729889977155507169711835842395383330735608836559604670774495245133367204514533645425749172106515372809362171240427568916661849 has 215 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 00:06:07 UTC 2015 年 1 月 9 日 (金) 9 時 6 分 7 秒 (日本時間)
4511e6600 / 2655Dmitry DomanovApril 21, 2015 11:01:03 UTC 2015 年 4 月 21 日 (火) 20 時 1 分 3 秒 (日本時間)
5043e6500 / 7407Dmitry DomanovJune 20, 2015 09:44:17 UTC 2015 年 6 月 20 日 (土) 18 時 44 分 17 秒 (日本時間)