Table of contents 目次

10111-41

c110

name 名前Serge Batalov
date 日付November 17, 2014 22:47:43 UTC 2014 年 11 月 18 日 (火) 7 時 47 分 43 秒 (日本時間)
composite number 合成数
20408163265306122448979591836734693877551020408163265306122448979591836734693877551020408163265306122448979591<110>
prime factors 素因数
81811641406752171417473915827<29>
249453047443951817742490321385626014358859532986448278841961866230130294702419933<81>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=46426871
Step 1 took 2041ms
********** Factor found in step 1: 81811641406752171417473915827
Found probable prime factor of 29 digits: 81811641406752171417473915827
Probable prime cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:32 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 32 秒 (日本時間)

10116-41

c103

name 名前Dmitry Domanov
date 日付November 18, 2014 07:22:14 UTC 2014 年 11 月 18 日 (火) 16 時 22 分 14 秒 (日本時間)
composite number 合成数
7063640863195121890046337309680338917641771336610559958028299058470463755018788789991538896055043395187<103>
prime factors 素因数
310987271532476775896471959039652033495550810461<48>
22713601197846637122387933580332842329424809755429796367<56>
factorization results 素因数分解の結果
N=7063640863195121890046337309680338917641771336610559958028299058470463755018788789991538896055043395187
  ( 103 digits)
SNFS difficulty: 116 digits.
Divisors found:
 r1=310987271532476775896471959039652033495550810461 (pp48)
 r2=22713601197846637122387933580332842329424809755429796367 (pp56)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.11 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 7063640863195121890046337309680338917641771336610559958028299058470463755018788789991538896055043395187
m: 100000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 2.565e-08
type: snfs
lss: 1
rlim: 600000
alim: 600000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 600000/600000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [300000, 900001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 65717 x 65944
Total sieving time: 1.06 hours.
Total relation processing time: 0.02 hours.
Matrix solve time: 0.01 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,116.000,5,0,0,0,0,0,0,0,0,600000,600000,25,25,45,45,2.2,2.2,50000
total time: 1.11 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:33 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 33 秒 (日本時間)

10119-41

c98

name 名前KTakahashi
date 日付November 17, 2014 19:45:11 UTC 2014 年 11 月 18 日 (火) 4 時 45 分 11 秒 (日本時間)
composite number 合成数
22171398770926831918950756805574491469500232577602090703078538658249951712907051399007331280618471<98>
prime factors 素因数
1076648672511891568287441362053127<34>
20592974604426449200122590514679611354225073852777215775084432673<65>
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 22171398770926831918950756805574491469500232577602090703078538658249951712907051399007331280618471 (98 digits)
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3728169066
Step 1 took 2668ms
********** Factor found in step 1: 1076648672511891568287441362053127
Found probable prime factor of 34 digits: 1076648672511891568287441362053127
Probable prime cofactor 20592974604426449200122590514679611354225073852777215775084432673 has 65 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)

10121-41

c100

name 名前Serge Batalov
date 日付November 18, 2014 06:36:13 UTC 2014 年 11 月 18 日 (火) 15 時 36 分 13 秒 (日本時間)
composite number 合成数
2105943465329806303560240342005094523877387383184984334254858130456686894973228274134877575370516231<100>
prime factors 素因数
1915256689183410618116173558758371<34>
1099561994600158244623456122790629323865327744646302646552099723661<67>
factorization results 素因数分解の結果
Input number is 2105943465329806303560240342005094523877387383184984334254858130456686894973228274134877575370516231 (100 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=892634613
Step 1 took 2412ms
Step 2 took 2119ms
********** Factor found in step 2: 1915256689183410618116173558758371
Found probable prime factor of 34 digits: 1915256689183410618116173558758371
Probable prime cofactor 1099561994600158244623456122790629323865327744646302646552099723661 has 67 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:33 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 33 秒 (日本時間)

10124-41

c110

name 名前Dmitry Domanov
date 日付November 18, 2014 09:00:03 UTC 2014 年 11 月 18 日 (火) 18 時 0 分 3 秒 (日本時間)
composite number 合成数
78476574303801898533829736788441627868158240810073963276865530907125111094507213727724799429270743327866739063<110>
prime factors 素因数
65832519325722729251892666492427457831<38>
1192063969411827746924958261090238575249610253747531214926208431912135473<73>
factorization results 素因数分解の結果
N=78476574303801898533829736788441627868158240810073963276865530907125111094507213727724799429270743327866739063
  ( 110 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=65832519325722729251892666492427457831 (pp38)
 r2=1192063969411827746924958261090238575249610253747531214926208431912135473 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 1.33 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 78476574303801898533829736788441627868158240810073963276865530907125111094507213727724799429270743327866739063
m: 10000000000000000000000000
deg: 5
c5: 1
c0: -410
skew: 3.33
# Murphy_E = 1.234e-08
type: snfs
lss: 1
rlim: 850000
alim: 850000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 850000/850000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [425000, 675001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 101137 x 101369
Total sieving time: 1.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.03 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,125.000,5,0,0,0,0,0,0,0,0,850000,850000,26,26,46,46,2.3,2.3,50000
total time: 1.33 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:34 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 34 秒 (日本時間)

10133-41

c126

name 名前Dmitry Domanov
date 日付November 18, 2014 12:57:47 UTC 2014 年 11 月 18 日 (火) 21 時 57 分 47 秒 (日本時間)
composite number 合成数
120011535988885395619768554632545498803526990228408715559374429307642767853417141869345048923482720853059279470179791562284133<126>
prime factors 素因数
8785061852224781131746853136613612812448218197<46>
13660864090386906376546185345500354670945428843714848554633414017745849662631889<80>
factorization results 素因数分解の結果
N=120011535988885395619768554632545498803526990228408715559374429307642767853417141869345048923482720853059279470179791562284133
  ( 126 digits)
SNFS difficulty: 133 digits.
Divisors found:
 r1=8785061852224781131746853136613612812448218197 (pp46)
 r2=13660864090386906376546185345500354670945428843714848554633414017745849662631889 (pp80)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 2.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 120011535988885395619768554632545498803526990228408715559374429307642767853417141869345048923482720853059279470179791562284133
m: 100000000000000000000000000
deg: 5
c5: 1000
c0: -41
skew: 0.53
# Murphy_E = 5.569e-09
type: snfs
lss: 1
rlim: 1150000
alim: 1150000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1150000/1150000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [575000, 1025001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 166532 x 166758
Total sieving time: 2.24 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,133.000,5,0,0,0,0,0,0,0,0,1150000,1150000,26,26,47,47,2.3,2.3,50000
total time: 2.36 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:34 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 34 秒 (日本時間)

10134-41

c129

name 名前Serge Batalov
date 日付November 17, 2014 20:40:10 UTC 2014 年 11 月 18 日 (火) 5 時 40 分 10 秒 (日本時間)
composite number 合成数
887760446721056790035776746002858588638441802863915201122129204655415782605221806947613256038990438819988814218371314684445549213<129>
prime factors 素因数
1603041116536502438819880851669<31>
62111167422292669076415980862287<32>
8916233587902654250288798094888729644310538893810833376857058984071<67>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=496989334
Step 1 took 2540ms
Step 2 took 2034ms
********** Factor found in step 2: 1603041116536502438819880851669
Found probable prime factor of 31 digits: 1603041116536502438819880851669

Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1174441807
Step 1 took 2520ms
Step 2 took 2029ms
********** Factor found in step 2: 62111167422292669076415980862287
Found probable prime factor of 32 digits: 62111167422292669076415980862287

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)

10137-41

c132

name 名前Serge Batalov
date 日付November 18, 2014 06:33:10 UTC 2014 年 11 月 18 日 (火) 15 時 33 分 10 秒 (日本時間)
composite number 合成数
177859672275767864670132558813747129789538649796083885735832143155693021320038915696293938008789825003868447871997951056575383154199<132>
prime factors 素因数
12568534327961048123605305479<29>
14151186417980803078276322226269628265983119078417788584772378314467166484689823375253969195609020637681<104>
factorization results 素因数分解の結果
Input number is 177859672275767864670132558813747129789538649796083885735832143155693021320038915696293938008789825003868447871997951056575383154199 (132 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2661535331
Step 1 took 2847ms
Step 2 took 2439ms
********** Factor found in step 2: 12568534327961048123605305479
Found probable prime factor of 29 digits: 12568534327961048123605305479
Probable prime cofactor 14151186417980803078276322226269628265983119078417788584772378314467166484689823375253969195609020637681 has 104 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:35 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 35 秒 (日本時間)

10139-41

c102

name 名前Dmitry Domanov
date 日付November 19, 2014 16:56:34 UTC 2014 年 11 月 20 日 (木) 1 時 56 分 34 秒 (日本時間)
composite number 合成数
106440936436145963470742158052517072928151941588905745889535869194778493262624449828086401377068049341<102>
prime factors 素因数
1193338079666483245655826604058741787536059<43>
89195960683576200617463736920903208249637035409455009050599<59>
factorization results 素因数分解の結果
N=106440936436145963470742158052517072928151941588905745889535869194778493262624449828086401377068049341
  ( 102 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=1193338079666483245655826604058741787536059 (pp43)
 r2=89195960683576200617463736920903208249637035409455009050599 (pp59)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 3.29 hours.
Scaled time: 6.93 units (timescale=2.109).
Factorization parameters were as follows:
n: 106440936436145963470742158052517072928151941588905745889535869194778493262624449828086401377068049341
m: 10000000000000000000000000000
deg: 5
c5: 1
c0: -410
skew: 3.33
# Murphy_E = 3.533e-09
type: snfs
lss: 1
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [755000, 1430001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 219316 x 219542
Total sieving time: 3.19 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
snfs,140.000,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 3.29 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:35 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 35 秒 (日本時間)

10141-41

c137

name 名前Serge Batalov
date 日付November 18, 2014 06:34:20 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 20 秒 (日本時間)
composite number 合成数
96070708041118263041598616581804207897012200979921222019406283024305889134402920549524449995196464597944086847920069170909789605149389951<137>
prime factors 素因数
36768888242596108394559155925529<32>
composite cofactor 合成数の残り
2612826023111083422561413778576062228277570900534278566362828383440861463104322975597347841690466241388119<106>
factorization results 素因数分解の結果
Input number is 96070708041118263041598616581804207897012200979921222019406283024305889134402920549524449995196464597944086847920069170909789605149389951 (137 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3344743912
Step 1 took 3348ms
Step 2 took 1667ms
********** Factor found in step 2: 36768888242596108394559155925529
Found probable prime factor of 32 digits: 36768888242596108394559155925529
Composite cofactor 2612826023111083422561413778576062228277570900534278566362828383440861463104322975597347841690466241388119 has 106 digits

c106

name 名前Dmitry Domanov
date 日付November 19, 2014 13:37:16 UTC 2014 年 11 月 19 日 (水) 22 時 37 分 16 秒 (日本時間)
composite number 合成数
2612826023111083422561413778576062228277570900534278566362828383440861463104322975597347841690466241388119<106>
prime factors 素因数
220021033836418697284879749821306582666993<42>
11875346540975114588033524839386880095052849278934034998838038983<65>
factorization results 素因数分解の結果
N=2612826023111083422561413778576062228277570900534278566362828383440861463104322975597347841690466241388119
  ( 106 digits)
SNFS difficulty: 141 digits.
Divisors found:
 r1=220021033836418697284879749821306582666993 (pp42)
 r2=11875346540975114588033524839386880095052849278934034998838038983 (pp65)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 4.34 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2612826023111083422561413778576062228277570900534278566362828383440861463104322975597347841690466241388119
m: 10000000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 3.264e-09
type: snfs
lss: 1
rlim: 1570000
alim: 1570000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1570000/1570000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [785000, 1585001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 238363 x 238589
Total sieving time: 4.21 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.06 hours.
Time per square root: 0.03 hours.
Prototype def-par.txt line would be:
snfs,141.000,5,0,0,0,0,0,0,0,0,1570000,1570000,26,26,48,48,2.3,2.3,100000
total time: 4.34 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:36 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 36 秒 (日本時間)

10143-41

c121

name 名前Serge Batalov
date 日付November 18, 2014 06:36:09 UTC 2014 年 11 月 18 日 (火) 15 時 36 分 9 秒 (日本時間)
composite number 合成数
6770419703868361355512873557011169040826698676164323325415873974262096503243287287114691225777329931476981842183216758217<121>
prime factors 素因数
594567539012688454308582264803<30>
11387133100321974081843868509568833204292605266659708063455083477327845061765610425348330339<92>
factorization results 素因数分解の結果
Input number is 6770419703868361355512873557011169040826698676164323325415873974262096503243287287114691225777329931476981842183216758217 (121 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=285595031
Step 1 took 2965ms
Step 2 took 2436ms
********** Factor found in step 2: 594567539012688454308582264803
Found probable prime factor of 30 digits: 594567539012688454308582264803
Probable prime cofactor 11387133100321974081843868509568833204292605266659708063455083477327845061765610425348330339 has 92 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:36 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 36 秒 (日本時間)

10145-41

c139

name 名前Dmitry Domanov
date 日付November 20, 2014 08:22:26 UTC 2014 年 11 月 20 日 (木) 17 時 22 分 26 秒 (日本時間)
composite number 合成数
3720560599188843378164848366692499759093701202522391263826068256660640598682847136675165667262080381223521235285647900283023044780295315777<139>
prime factors 素因数
446005438688765459446515034949360182070184758885650016069685205212001<69>
8341962398770545514940786254226431935026696137894365533352859553591777<70>
factorization results 素因数分解の結果
N=3720560599188843378164848366692499759093701202522391263826068256660640598682847136675165667262080381223521235285647900283023044780295315777
  ( 139 digits)
SNFS difficulty: 145 digits.
Divisors found:
 r1=446005438688765459446515034949360182070184758885650016069685205212001 (pp69)
 r2=8341962398770545514940786254226431935026696137894365533352859553591777 (pp70)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 5.23 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 3720560599188843378164848366692499759093701202522391263826068256660640598682847136675165667262080381223521235285647900283023044780295315777
m: 100000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
# Murphy_E = 2.944e-09
type: snfs
lss: 1
rlim: 1830000
alim: 1830000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1830000/1830000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [915000, 1815001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 232874 x 233099
Total sieving time: 5.09 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,145.000,5,0,0,0,0,0,0,0,0,1830000,1830000,26,26,49,49,2.3,2.3,100000
total time: 5.23 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:37 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 37 秒 (日本時間)

10146-41

c109

name 名前Dmitry Domanov
date 日付November 20, 2014 10:44:54 UTC 2014 年 11 月 20 日 (木) 19 時 44 分 54 秒 (日本時間)
composite number 合成数
2942333745919771520496283609561074376953507311983391057932324337832704252891288931671613976855272235460935429<109>
prime factors 素因数
3063079228513014656637325214925658484539<40>
960580359309915870479191091275192187080055645722729650391763157624511<69>
factorization results 素因数分解の結果
N=2942333745919771520496283609561074376953507311983391057932324337832704252891288931671613976855272235460935429
  ( 109 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=3063079228513014656637325214925658484539 (pp40)
 r2=960580359309915870479191091275192187080055645722729650391763157624511 (pp69)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 6.81 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 2942333745919771520496283609561074376953507311983391057932324337832704252891288931671613976855272235460935429
m: 100000000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 2.124e-09
type: snfs
lss: 1
rlim: 1900000
alim: 1900000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1900000/1900000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [950000, 2150001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 298940 x 299166
Total sieving time: 6.66 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.08 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,146.000,5,0,0,0,0,0,0,0,0,1900000,1900000,26,26,49,49,2.3,2.3,100000
total time: 6.81 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:37 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 37 秒 (日本時間)

10147-41

c129

name 名前Dmitry Domanov
date 日付November 21, 2014 09:20:59 UTC 2014 年 11 月 21 日 (金) 18 時 20 分 59 秒 (日本時間)
composite number 合成数
118988628605042207378109609623320813754085217571084231324174973105101597768252914318314336274362866384471795237252846174859888209<129>
prime factors 素因数
77294335932150436150012700331128192787985095134377980469<56>
1539422354433465121006289267484457936113540519867408262057258392631068461<73>
factorization results 素因数分解の結果
N=118988628605042207378109609623320813754085217571084231324174973105101597768252914318314336274362866384471795237252846174859888209
  ( 129 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=77294335932150436150012700331128192787985095134377980469 (pp56)
 r2=1539422354433465121006289267484457936113540519867408262057258392631068461 (pp73)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 7.66 hours.
Scaled time: 13.21 units (timescale=1.724).
Factorization parameters were as follows:
n: 118988628605042207378109609623320813754085217571084231324174973105101597768252914318314336274362866384471795237252846174859888209
m: 100000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 1.685e-09
type: snfs
lss: 1
rlim: 1970000
alim: 1970000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1970000/1970000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [985000, 2485001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 319432 x 319657
Total sieving time: 7.44 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.15 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,147.000,5,0,0,0,0,0,0,0,0,1970000,1970000,26,26,49,49,2.3,2.3,100000
total time: 7.66 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:37 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 37 秒 (日本時間)

10148-41

c109

name 名前Jane Sullivan
date 日付November 21, 2014 22:11:47 UTC 2014 年 11 月 22 日 (土) 7 時 11 分 47 秒 (日本時間)
composite number 合成数
1084442986564770188120466091739494134672004277664137669901939894775111561368173464108870080938606852953866523<109>
prime factors 素因数
30524315800945175889175798607545892360609676070511<50>
35527184086176658882290222737015428338167678607454903619093<59>
factorization results 素因数分解の結果
11/21/14 13:10:01 v1.33 @ JANELT3, prp50 = 30524315800945175889175798607545892360609676070511
11/21/14 13:10:01 v1.33 @ JANELT3, prp59 = 35527184086176658882290222737015428338167678607454903619093
11/21/14 13:10:01 v1.33 @ JANELT3, NFS elapsed time = 8138.2812 seconds.
software ソフトウェア
yafu-x86 v.1.33
execution environment 実行環境
Intel(R) Core(TM) i7-4710MQ CPU @ 2.50GHz,WIN64,
Windows 7 Professional

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:38 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 38 秒 (日本時間)
403e60 / 271--
4511e6522 / 443496Pierre JammesNovember 20, 2014 14:11:25 UTC 2014 年 11 月 20 日 (木) 23 時 11 分 25 秒 (日本時間)
426Pierre JammesNovember 20, 2014 20:57:05 UTC 2014 年 11 月 21 日 (金) 5 時 57 分 5 秒 (日本時間)

10150-41

c114

name 名前Jane Sullivan
date 日付November 22, 2014 11:51:42 UTC 2014 年 11 月 22 日 (土) 20 時 51 分 42 秒 (日本時間)
composite number 合成数
106370843591377544598268894214850727805983223568720342852197202127951587623851703226012422423032742482006629095761<114>
prime factors 素因数
10022894723783657867779429684138351629508917771001<50>
10612786677182855891364812336005123531401913755285790120561364761<65>
factorization results 素因数分解の結果
11/22/14 07:28:43 v1.33 @ JANELT3, nfs: best poly = # norm 1.191827e-010 alpha -5.518253 e 8.762e-010 rroots 3
11/22/14 07:28:43 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/22/14 08:03:43 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/22/14 08:41:28 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/22/14 09:19:09 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/22/14 09:56:47 v1.33 @ JANELT3, nfs: commencing lattice sieving with 4 threads
11/22/14 10:36:03 v1.33 @ JANELT3, nfs: commencing msieve filtering
11/22/14 10:39:04 v1.33 @ JANELT3, nfs: commencing msieve linear algebra
11/22/14 10:47:46 v1.33 @ JANELT3, nfs: commencing msieve sqrt
11/22/14 10:50:09 v1.33 @ JANELT3, prp65 = 10612786677182855891364812336005123531401913755285790120561364761
11/22/14 10:50:09 v1.33 @ JANELT3, prp50 = 10022894723783657867779429684138351629508917771001
11/22/14 10:50:10 v1.33 @ JANELT3, NFS elapsed time = 13542.4469 seconds.
software ソフトウェア
yafu-x64 v.1.33
execution environment 実行環境
Intel(R) Core(TM) i7-4710MQ CPU @ 2.50GHz,WIN64,
Windows 7 Professional

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:38 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 38 秒 (日本時間)
403e60 / 1500--
4511e6166 / 4434Pierre JammesNovember 21, 2014 11:17:25 UTC 2014 年 11 月 21 日 (金) 20 時 17 分 25 秒 (日本時間)

10153-41

c144

name 名前Dmitry Domanov
date 日付November 24, 2014 17:06:59 UTC 2014 年 11 月 25 日 (火) 2 時 6 分 59 秒 (日本時間)
composite number 合成数
155140507160402518046662481297441463852630988463001472919333891070386184300217023557704521800014935593821041974975877462401978506143142178942717<144>
prime factors 素因数
3266883215323205718482633810348531709534018173<46>
320800903693052087570574113857516284243085245161<48>
148032138895145305081210369830718009368779186505689<51>
factorization results 素因数分解の結果
N=155140507160402518046662481297441463852630988463001472919333891070386184300217023557704521800014935593821041974975877462401978506143142178942717
  ( 144 digits)
SNFS difficulty: 153 digits.
Divisors found:
 r1=3266883215323205718482633810348531709534018173 (pp46)
 r2=320800903693052087570574113857516284243085245161 (pp48)
 r3=148032138895145305081210369830718009368779186505689 (pp51)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 9.18 hours.
Scaled time: 19.70 units (timescale=2.146).
Factorization parameters were as follows:
n: 155140507160402518046662481297441463852630988463001472919333891070386184300217023557704521800014935593821041974975877462401978506143142178942717
m: 1000000000000000000000000000000
deg: 5
c5: 1000
c0: -41
skew: 0.53
# Murphy_E = 1.006e-09
type: snfs
lss: 1
rlim: 2500000
alim: 2500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1250000, 1950001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 476128 x 476353
Total sieving time: 8.78 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.20 hours.
Time per square root: 0.11 hours.
Prototype def-par.txt line would be:
snfs,153.000,5,0,0,0,0,0,0,0,0,2500000,2500000,27,27,50,50,2.4,2.4,100000
total time: 9.18 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:38 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 38 秒 (日本時間)

10154-41

c100

name 名前KTakahashi
date 日付November 18, 2014 09:30:55 UTC 2014 年 11 月 18 日 (火) 18 時 30 分 55 秒 (日本時間)
composite number 合成数
1865383238623293345849969587549916286328994716828676585813981911474019130528131343960286231706476077<100>
prime factors 素因数
222014685395560022977038066536890873<36>
8402071400366015381669343805820472839396973723168855581286632149<64>
factorization results 素因数分解の結果
Number: 99959_154
N=1865383238623293345849969587549916286328994716828676585813981911474019130528131343960286231706476077
  ( 100 digits)
Divisors found:
 r1=222014685395560022977038066536890873 (pp36)
 r2=8402071400366015381669343805820472839396973723168855581286632149 (pp64)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 5.85 hours.
Scaled time: 10.18 units (timescale=1.742).
Factorization parameters were as follows:
name: 99959_154
n: 1865383238623293345849969587549916286328994716828676585813981911474019130528131343960286231706476077
skew: 7553.73
# norm 5.69e+013
c5: 21960
c4: 161564878
c3: -4834264022564
c2: 2166551865330925
c1: -342797338046027658
c0: -63254098751745661004245
# alpha -5.83
Y1: 2200066847
Y0: -9678922258640715362
# Murphy_E 3.77e-009
# M 1707149348366893838931249245590557745017185214173211578248157314165163700444833605534341204443974421
type: gnfs
rlim: 1800000
alim: 1800000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.5
alambda: 2.5
qintsize: 100000
Factor base limits: 1800000/1800000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [900000, 1400001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 180458 x 180689
Polynomial selection time: 0.39 hours.
Total sieving time: 5.30 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.11 hours.
Time per square root: 0.01 hours.
Prototype def-par.txt line would be:
gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000
total time: 5.85 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:39 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 39 秒 (日本時間)

10158-41

c140

name 名前Serge Batalov
date 日付November 18, 2014 06:37:19 UTC 2014 年 11 月 18 日 (火) 15 時 37 分 19 秒 (日本時間)
composite number 合成数
68866804784625815045967257931060093001534994981509264235173928314879610206724221690013575779311195532736435375271360528057869482863525996893<140>
prime factors 素因数
26591820763633093469904967405270076503<38>
composite cofactor 合成数の残り
2589773953305517249119838427974461113979688064958339530285423368222461361772848814191503388973177825131<103>
factorization results 素因数分解の結果
Input number is 68866804784625815045967257931060093001534994981509264235173928314879610206724221690013575779311195532736435375271360528057869482863525996893 (140 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3242235565
Step 1 took 3136ms
Step 2 took 2211ms
********** Factor found in step 2: 26591820763633093469904967405270076503
Found probable prime factor of 38 digits: 26591820763633093469904967405270076503
Composite cofactor 2589773953305517249119838427974461113979688064958339530285423368222461361772848814191503388973177825131 has 103 digits

c103

name 名前Serge Batalov
date 日付November 19, 2014 04:43:19 UTC 2014 年 11 月 19 日 (水) 13 時 43 分 19 秒 (日本時間)
composite number 合成数
2589773953305517249119838427974461113979688064958339530285423368222461361772848814191503388973177825131<103>
prime factors 素因数
38096405909941668735790255353453214771<38>
67979482353995177133649744719589033338874732480548925464347357161<65>
factorization results 素因数分解の結果
Divisors found:
 r1=38096405909941668735790255353453214771 (pp38)
 r2=67979482353995177133649744719589033338874732480548925464347357161 (pp65)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 3.30 hours.
Scaled time: 7.93 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  2589773953305517249119838427974461113979688064958339530285423368222461361772848814191503388973177825131
skew:  14785528.68
Y0:  -11835050236042815865119407
Y1:  40954035648563
c0:  -1581694887764249075538910784100
c1:  -485984874271550763093860
c2:  -1894890844762009
c3:  659169952
c4:  132
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 263899 x 264126
Total sieving time: 3.16 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.05 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
gnfs,102,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 3.30 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:39 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 39 秒 (日本時間)

10159-41

c112

name 名前Rich Smith
date 日付November 23, 2014 22:16:38 UTC 2014 年 11 月 24 日 (月) 7 時 16 分 38 秒 (日本時間)
composite number 合成数
4838461918732001221707927368467479299575568151237227775304655198110678549754567961309834249274139809657034587487<112>
prime factors 素因数
61888197088025385458236400322667880294639477834952913561<56>
78180689475411860766344713047409895347042855853150134967<56>
factorization results 素因数分解の結果
10^159-41 factors:

P56 = 61888197088025385458236400322667880294639477834952913561
P56 = 78180689475411860766344713047409895347042855853150134967
software ソフトウェア
YAFU 1.31

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:40 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 40 秒 (日本時間)
403e60--
4511e6768 / 4434Pierre JammesNovember 21, 2014 08:51:07 UTC 2014 年 11 月 21 日 (金) 17 時 51 分 7 秒 (日本時間)

10160-41

c138

name 名前Dmitry Domanov
date 日付December 5, 2014 10:18:56 UTC 2014 年 12 月 5 日 (金) 19 時 18 分 56 秒 (日本時間)
composite number 合成数
127684247217009981840791274565361900052473960604922003236002548427753870369172166887182461413153934219436807892800239275790943722028241031<138>
prime factors 素因数
8891128073106708373541543434763465272142756482807<49>
14360860193120013985758041225334656217827679741217078896362845726852082700067271158421233<89>
factorization results 素因数分解の結果
N=127684247217009981840791274565361900052473960604922003236002548427753870369172166887182461413153934219436807892800239275790943722028241031
  ( 138 digits)
SNFS difficulty: 160 digits.
Divisors found:
 r1=8891128073106708373541543434763465272142756482807 (pp49)
 r2=14360860193120013985758041225334656217827679741217078896362845726852082700067271158421233 (pp89)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 16.36 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 127684247217009981840791274565361900052473960604922003236002548427753870369172166887182461413153934219436807892800239275790943722028241031
m: 100000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
# Murphy_E = 7.881e-10
type: snfs
lss: 1
rlim: 3200000
alim: 3200000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3200000/3200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1600000, 2500001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 616714 x 616939
Total sieving time: 15.80 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.41 hours.
Time per square root: 0.05 hours.
Prototype def-par.txt line would be:
snfs,160.000,5,0,0,0,0,0,0,0,0,3200000,3200000,27,27,51,51,2.4,2.4,100000
total time: 16.36 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:40 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 40 秒 (日本時間)

10163-41

c146

name 名前Jo Yeong Uk
date 日付December 9, 2014 22:16:13 UTC 2014 年 12 月 10 日 (水) 7 時 16 分 13 秒 (日本時間)
composite number 合成数
20155248937689599461918016385857840799674881059508085880216505177059840835316387476703411919049159520321221356206338195738811135808523483985806213<146>
prime factors 素因数
4901185318031776639523358615248915473<37>
composite cofactor 合成数の残り
4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381<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 20155248937689599461918016385857840799674881059508085880216505177059840835316387476703411919049159520321221356206338195738811135808523483985806213 (146 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=5400595585
Step 1 took 6736ms
Step 2 took 2563ms
********** Factor found in step 2: 4901185318031776639523358615248915473
Found probable prime factor of 37 digits: 4901185318031776639523358615248915473
Composite cofactor 4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381 has 109 digits
execution environment 実行環境
Core i7-4930K

c109

name 名前Cyp
date 日付December 10, 2014 23:57:49 UTC 2014 年 12 月 11 日 (木) 8 時 57 分 49 秒 (日本時間)
composite number 合成数
4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381<109>
prime factors 素因数
15379440347018632706789989953250786436681594117<47>
267390830854178423047811752175747600180701822420526755799988593<63>
factorization results 素因数分解の結果
12/10/14 23:41:48 v1.34.3, 
12/10/14 23:41:48 v1.34.3, ****************************
12/10/14 23:41:48 v1.34.3, Starting factorization of 4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381
12/10/14 23:41:48 v1.34.3, using pretesting plan: none
12/10/14 23:41:48 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
12/10/14 23:41:48 v1.34.3, ****************************
12/10/14 23:41:48 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C109
12/10/14 23:41:48 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C109
12/10/14 23:41:48 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C109
12/10/14 23:41:48 v1.34.3, final ECM pretested depth: 0.00
12/10/14 23:41:48 v1.34.3, scheduler: switching to sieve method
12/10/14 23:41:48 v1.34.3, nfs: commencing nfs on c109: 4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381
12/10/14 23:41:48 v1.34.3, nfs: commencing poly selection with 8 threads
12/10/14 23:41:48 v1.34.3, nfs: setting deadline of 397 seconds
12/10/14 23:49:10 v1.34.3, nfs: completed 85 ranges of size 250 in 441.5937 seconds
12/10/14 23:49:10 v1.34.3, nfs: best poly = # norm 7.395751e-15 alpha -5.691494 e 3.434e-09 rroots 4
12/10/14 23:49:10 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/10/14 23:54:25 v1.34.3, nfs: commencing lattice sieving with 8 threads
[6 lines snipped]
12/11/14 00:31:58 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 00:37:42 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 00:43:07 v1.34.3, nfs: commencing msieve filtering
12/11/14 00:43:54 v1.34.3, nfs: commencing lattice sieving with 8 threads
12/11/14 00:49:06 v1.34.3, nfs: commencing msieve filtering
12/11/14 00:50:11 v1.34.3, nfs: commencing msieve linear algebra
12/11/14 00:56:54 v1.34.3, nfs: commencing msieve sqrt
12/11/14 00:57:47 v1.34.3, prp47 = 15379440347018632706789989953250786436681594117
12/11/14 00:57:47 v1.34.3, prp63 = 267390830854178423047811752175747600180701822420526755799988593
12/11/14 00:57:47 v1.34.3, NFS elapsed time = 4559.3722 seconds.
12/11/14 00:57:47 v1.34.3, 
12/11/14 00:57:47 v1.34.3, 
12/11/14 00:57:47 v1.34.3, Total factoring time = 4559.3943 seconds
--
Thu Dec 11 00:43:07 2014  
Thu Dec 11 00:43:07 2014  commencing relation filtering
Thu Dec 11 00:43:07 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 00:43:07 2014  commencing duplicate removal, pass 1
Thu Dec 11 00:43:23 2014  found 455404 hash collisions in 4955800 relations
Thu Dec 11 00:43:27 2014  added 161755 free relations
Thu Dec 11 00:43:27 2014  commencing duplicate removal, pass 2
Thu Dec 11 00:43:31 2014  found 165131 duplicates and 4952424 unique relations
Thu Dec 11 00:43:31 2014  memory use: 20.6 MB
Thu Dec 11 00:43:31 2014  reading ideals above 100000
Thu Dec 11 00:43:31 2014  commencing singleton removal, initial pass
Thu Dec 11 00:43:51 2014  memory use: 172.2 MB
Thu Dec 11 00:43:51 2014  reading all ideals from disk
Thu Dec 11 00:43:51 2014  memory use: 164.9 MB
Thu Dec 11 00:43:52 2014  keeping 5797314 ideals with weight <= 200, target excess is 38928
Thu Dec 11 00:43:52 2014  commencing in-memory singleton removal
Thu Dec 11 00:43:52 2014  begin with 4952424 relations and 5797314 unique ideals
Thu Dec 11 00:43:54 2014  reduce to 1329682 relations and 1419733 ideals in 28 passes
Thu Dec 11 00:43:54 2014  max relations containing the same ideal: 82
Thu Dec 11 00:49:06 2014  
Thu Dec 11 00:49:06 2014  commencing relation filtering
Thu Dec 11 00:49:06 2014  estimated available RAM is 15987.3 MB
Thu Dec 11 00:49:06 2014  commencing duplicate removal, pass 1
Thu Dec 11 00:49:23 2014  found 560200 hash collisions in 5600395 relations
Thu Dec 11 00:49:26 2014  added 924 free relations
Thu Dec 11 00:49:26 2014  commencing duplicate removal, pass 2
Thu Dec 11 00:49:30 2014  found 196357 duplicates and 5404962 unique relations
Thu Dec 11 00:49:30 2014  memory use: 20.6 MB
Thu Dec 11 00:49:30 2014  reading ideals above 100000
Thu Dec 11 00:49:30 2014  commencing singleton removal, initial pass
Thu Dec 11 00:49:53 2014  memory use: 172.2 MB
Thu Dec 11 00:49:54 2014  reading all ideals from disk
Thu Dec 11 00:49:54 2014  memory use: 180.1 MB
Thu Dec 11 00:49:54 2014  keeping 5977474 ideals with weight <= 200, target excess is 43368
Thu Dec 11 00:49:54 2014  commencing in-memory singleton removal
Thu Dec 11 00:49:54 2014  begin with 5404962 relations and 5977474 unique ideals
Thu Dec 11 00:49:56 2014  reduce to 2024179 relations and 1963427 ideals in 22 passes
Thu Dec 11 00:49:56 2014  max relations containing the same ideal: 103
Thu Dec 11 00:49:57 2014  relations with 0 large ideals: 612
Thu Dec 11 00:49:57 2014  relations with 1 large ideals: 2026
Thu Dec 11 00:49:57 2014  relations with 2 large ideals: 17590
Thu Dec 11 00:49:57 2014  relations with 3 large ideals: 90881
Thu Dec 11 00:49:57 2014  relations with 4 large ideals: 279803
Thu Dec 11 00:49:57 2014  relations with 5 large ideals: 534862
Thu Dec 11 00:49:57 2014  relations with 6 large ideals: 556629
Thu Dec 11 00:49:57 2014  relations with 7+ large ideals: 541776
Thu Dec 11 00:49:57 2014  commencing 2-way merge
Thu Dec 11 00:49:58 2014  reduce to 1122676 relation sets and 1062335 unique ideals
Thu Dec 11 00:49:58 2014  ignored 411 oversize relation sets
Thu Dec 11 00:49:58 2014  commencing full merge
Thu Dec 11 00:50:07 2014  memory use: 101.5 MB
Thu Dec 11 00:50:07 2014  found 501825 cycles, need 496535
Thu Dec 11 00:50:07 2014  weight of 496535 cycles is about 34826267 (70.14/cycle)
Thu Dec 11 00:50:07 2014  distribution of cycle lengths:
Thu Dec 11 00:50:07 2014  1 relations: 58785
Thu Dec 11 00:50:07 2014  2 relations: 59383
Thu Dec 11 00:50:07 2014  3 relations: 57499
Thu Dec 11 00:50:07 2014  4 relations: 50236
Thu Dec 11 00:50:07 2014  5 relations: 44625
Thu Dec 11 00:50:07 2014  6 relations: 37019
Thu Dec 11 00:50:07 2014  7 relations: 31925
Thu Dec 11 00:50:07 2014  8 relations: 26697
Thu Dec 11 00:50:07 2014  9 relations: 22303
Thu Dec 11 00:50:07 2014  10+ relations: 108063
Thu Dec 11 00:50:07 2014  heaviest cycle: 27 relations
Thu Dec 11 00:50:07 2014  commencing cycle optimization
Thu Dec 11 00:50:08 2014  start with 3174501 relations
Thu Dec 11 00:50:10 2014  pruned 69398 relations
Thu Dec 11 00:50:10 2014  memory use: 106.3 MB
Thu Dec 11 00:50:10 2014  distribution of cycle lengths:
Thu Dec 11 00:50:10 2014  1 relations: 58785
Thu Dec 11 00:50:10 2014  2 relations: 60669
Thu Dec 11 00:50:10 2014  3 relations: 59452
Thu Dec 11 00:50:10 2014  4 relations: 51318
Thu Dec 11 00:50:10 2014  5 relations: 45315
Thu Dec 11 00:50:10 2014  6 relations: 37218
Thu Dec 11 00:50:10 2014  7 relations: 31961
Thu Dec 11 00:50:10 2014  8 relations: 26641
Thu Dec 11 00:50:10 2014  9 relations: 21979
Thu Dec 11 00:50:10 2014  10+ relations: 103197
Thu Dec 11 00:50:10 2014  heaviest cycle: 27 relations
Thu Dec 11 00:50:11 2014  RelProcTime: 65
Thu Dec 11 00:50:11 2014  
Thu Dec 11 00:50:11 2014  commencing linear algebra
Thu Dec 11 00:50:11 2014  read 496535 cycles
Thu Dec 11 00:50:11 2014  cycles contain 1792311 unique relations
Thu Dec 11 00:50:21 2014  read 1792311 relations
Thu Dec 11 00:50:22 2014  using 20 quadratic characters above 67108778
Thu Dec 11 00:50:27 2014  building initial matrix
Thu Dec 11 00:50:36 2014  memory use: 221.5 MB
Thu Dec 11 00:50:36 2014  read 496535 cycles
Thu Dec 11 00:50:36 2014  matrix is 496304 x 496535 (150.2 MB) with weight 47391890 (95.45/col)
Thu Dec 11 00:50:36 2014  sparse part has weight 33423931 (67.31/col)
Thu Dec 11 00:50:39 2014  filtering completed in 3 passes
Thu Dec 11 00:50:39 2014  matrix is 493221 x 493421 (149.7 MB) with weight 47187758 (95.63/col)
Thu Dec 11 00:50:39 2014  sparse part has weight 33323553 (67.54/col)
Thu Dec 11 00:50:40 2014  matrix starts at (0, 0)
Thu Dec 11 00:50:40 2014  matrix is 493221 x 493421 (149.7 MB) with weight 47187758 (95.63/col)
Thu Dec 11 00:50:40 2014  sparse part has weight 33323553 (67.54/col)
Thu Dec 11 00:50:40 2014  saving the first 48 matrix rows for later
Thu Dec 11 00:50:40 2014  matrix includes 64 packed rows
Thu Dec 11 00:50:40 2014  matrix is 493173 x 493421 (143.3 MB) with weight 37544887 (76.09/col)
Thu Dec 11 00:50:40 2014  sparse part has weight 32630002 (66.13/col)
Thu Dec 11 00:50:40 2014  using block size 65536 for processor cache size 8192 kB
Thu Dec 11 00:50:41 2014  commencing Lanczos iteration (8 threads)
Thu Dec 11 00:50:41 2014  memory use: 136.5 MB
Thu Dec 11 00:50:50 2014  linear algebra at 2.5%, ETA 0h 5m
Thu Dec 11 00:56:53 2014  lanczos halted after 7803 iterations (dim = 493173)
Thu Dec 11 00:56:54 2014  recovered 33 nontrivial dependencies
Thu Dec 11 00:56:54 2014  BLanczosTime: 403
Thu Dec 11 00:56:54 2014  
Thu Dec 11 00:56:54 2014  commencing square root phase
Thu Dec 11 00:56:54 2014  reading relations for dependency 1
Thu Dec 11 00:56:54 2014  read 247486 cycles
Thu Dec 11 00:56:54 2014  cycles contain 896544 unique relations
Thu Dec 11 00:57:00 2014  read 896544 relations
Thu Dec 11 00:57:01 2014  multiplying 896544 relations
Thu Dec 11 00:57:22 2014  multiply complete, coefficients have about 40.52 million bits
Thu Dec 11 00:57:22 2014  initial square root is modulo 656599
Thu Dec 11 00:57:47 2014  sqrtTime: 53
--
n: 4112321332461586327907988476866832533377550846403428512425598823222245711689981421407337333873492401655907381
skew: 6826268.09
c0: 561287659732800797837017525216
c1: -753064128150994633746514
c2: -356953090470475561
c3: 43994729716
c4: 2508
Y0: -201228420749121820821025683
Y1: 59037780758467
rlim: 3060000
alim: 3060000
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:40 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 40 秒 (日本時間)

10164-41

c146

name 名前Serge Batalov
date 日付November 18, 2014 06:38:03 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 3 秒 (日本時間)
composite number 合成数
84835506483577234681597827913892106943026059867696493938615938824714526708680043314587550090446112655608669463098166956964760437193060954009112751<146>
prime factors 素因数
31818235634872010383351605499935941<35>
2666254265544491356047247840900569116506099588292064755715417343416150114085976660809583174079655671307769501411<112>
factorization results 素因数分解の結果
Input number is 84835506483577234681597827913892106943026059867696493938615938824714526708680043314587550090446112655608669463098166956964760437193060954009112751 (146 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4234271323
Step 1 took 3601ms
********** Factor found in step 1: 31818235634872010383351605499935941
Found probable prime factor of 35 digits: 31818235634872010383351605499935941
Probable prime cofactor 2666254265544491356047247840900569116506099588292064755715417343416150114085976660809583174079655671307769501411 has 112 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:41 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 41 秒 (日本時間)

10166-41

c162

name 名前Dmitry Domanov
date 日付November 25, 2014 14:49:16 UTC 2014 年 11 月 25 日 (火) 23 時 49 分 16 秒 (日本時間)
composite number 合成数
135709148153677039369223879381709121011847408633816005536933244670023206264334278773732137283374272259693025906876382536946815584838573968271201161670308195475457<162>
prime factors 素因数
27164301873112438085857319203215369756395499734947<50>
4995863644410594347831490885910771522768653861756816988228491002081241334939177551813077560679908968251287864331<112>
factorization results 素因数分解の結果
N=135709148153677039369223879381709121011847408633816005536933244670023206264334278773732137283374272259693025906876382536946815584838573968271201161670308195475457
  ( 162 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=27164301873112438085857319203215369756395499734947 (pp50)
 r2=4995863644410594347831490885910771522768653861756816988228491002081241334939177551813077560679908968251287864331 (pp112)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 25.78 hours.
Scaled time: 54.63 units (timescale=2.119).
Factorization parameters were as follows:
n: 135709148153677039369223879381709121011847408633816005536933244670023206264334278773732137283374272259693025906876382536946815584838573968271201161670308195475457
m: 1000000000000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 3.621e-10
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
qintsize: 120000
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3970001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 796141 x 796366
Total sieving time: 25.05 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 0.57 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 25.78 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:41 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 41 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:19 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 19 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:18 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 18 秒 (日本時間)

10168-41

c141

name 名前Serge Batalov
date 日付November 18, 2014 06:22:12 UTC 2014 年 11 月 18 日 (火) 15 時 22 分 12 秒 (日本時間)
composite number 合成数
179245109766250343038844529292484002858451987817717607517548572342545847015209006209164626573185886711295061812069042953654734662674343071573<141>
prime factors 素因数
11123251839564300768767799798843533<35>
composite cofactor 合成数の残り
16114452172043188897351424655842589602682779370981137519417783105035304389984434340016355574814274130043881<107>
factorization results 素因数分解の結果
Input number is 179245109766250343038844529292484002858451987817717607517548572342545847015209006209164626573185886711295061812069042953654734662674343071573 (141 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2865555227
Step 1 took 3475ms
Step 2 took 2635ms
********** Factor found in step 2: 11123251839564300768767799798843533
Found probable prime factor of 35 digits: 11123251839564300768767799798843533
Composite cofactor 16114452172043188897351424655842589602682779370981137519417783105035304389984434340016355574814274130043881 has 107 digits

c107

name 名前Erik Branger
date 日付November 19, 2014 22:02:00 UTC 2014 年 11 月 20 日 (木) 7 時 2 分 0 秒 (日本時間)
composite number 合成数
16114452172043188897351424655842589602682779370981137519417783105035304389984434340016355574814274130043881<107>
prime factors 素因数
72730983270035000258931523213995998540911<41>
221562413259471311909267000999833924362379927688720896845244287271<66>
factorization results 素因数分解の結果
Number: 99959_168
N = 16114452172043188897351424655842589602682779370981137519417783105035304389984434340016355574814274130043881 (107 digits)
Divisors found:
r1=72730983270035000258931523213995998540911 (pp41)
r2=221562413259471311909267000999833924362379927688720896845244287271 (pp66)
Version: Msieve v. 1.51 (SVN 845)
Total time: 6.40 hours.
Factorization parameters were as follows:
n: 16114452172043188897351424655842589602682779370981137519417783105035304389984434340016355574814274130043881
Y0: -82491347936313174170868771
Y1: 33595509569461
c0: 24273503717827761602179793162806
c1: -1041683340728307788430371
c2: -235925376774167461
c3: 5314679159
c4: 348
skew: 20728281.53
type: gnfs
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Sieved algebraic special-q in [0, 0)
Total raw relations: 5291145
Relations: 549702 relations
Pruned matrix : 327933 x 328164
Polynomial selection time: 0.00 hours.
Total sieving time: 6.26 hours.
Total relation processing time: 0.03 hours.
Matrix solve time: 0.08 hours.
time per square root: 0.02 hours.
Prototype def-par.txt line would be: gnfs,106,4,59,2000,0.0006,0.25,200,15,15000,2000,2500000,2500000,26,26,49,49,2.6,2.6,150000
total time: 6.40 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:42 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 42 秒 (日本時間)

10171-41

c130

name 名前Daniel Morel
date 日付April 22, 2015 00:28:14 UTC 2015 年 4 月 22 日 (水) 9 時 28 分 14 秒 (日本時間)
composite number 合成数
1803663734645408986101166222477018922194692046041346372717419711218635169116853314465427951806810368839148562482086023684229324479<130>
prime factors 素因数
535395397958376382509900577746162781527804227<45>
3368844299975907661102206853992099505015531502556559882672977142021229610562616037077<85>
factorization results 素因数分解の結果
B1 = 9000000
sigma = 1:1898432020

p45 = 535395397958376382509900577746162781527804227
p85 = 3368844299975907661102206853992099505015531502556559882672977142021229610562616037077
software ソフトウェア
GMP-ECM 7.0
execution environment 実行環境
Windows 7, Intel Core I5 3.2 GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:42 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 42 秒 (日本時間)
403e60--
4511e6680 / 4118Pierre JammesDecember 7, 2014 21:07:54 UTC 2014 年 12 月 8 日 (月) 6 時 7 分 54 秒 (日本時間)
5043e690 / 7395Pierre JammesMarch 26, 2015 15:12:11 UTC 2015 年 3 月 27 日 (金) 0 時 12 分 11 秒 (日本時間)

10173-41

c151

name 名前Ben Meekins
date 日付January 5, 2015 06:35:04 UTC 2015 年 1 月 5 日 (月) 15 時 35 分 4 秒 (日本時間)
composite number 合成数
1679020246912905531414801031212520396265784584878478357658430540151450645465535113147414736793879094902943944478246569307197196417529844827204344280757<151>
prime factors 素因数
17611615321946663722340111914223203012426633<44>
95335959605056742598506559188741913761820632891110225511044060878336415121494741006238823542914447912794829<107>
factorization results 素因数分解の結果
Number: 99959_173
N = 1679020246912905531414801031212520396265784584878478357658430540151450645465535113147414736793879094902943944478246569307197196417529844827204344280757 (151 digits)
SNFS difficulty: 173 digits.
Divisors found:
r1=17611615321946663722340111914223203012426633 (pp44)
r2=95335959605056742598506559188741913761820632891110225511044060878336415121494741006238823542914447912794829 (pp107)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 10.95 hours.
Factorization parameters were as follows:
n: 1679020246912905531414801031212520396265784584878478357658430540151450645465535113147414736793879094902943944478246569307197196417529844827204344280757
m: 10000000000000000000000000000000000
deg: 5
c5: 1000
c0: -41
skew: 0.53
# Murphy_E = 1.676e-10
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Sieved rational special-q in [0, 0)
Total raw relations: 11917991
Relations: 1368268 relations
Pruned matrix : 868663 x 868890
Polynomial selection time: 0.00 hours.
Total sieving time: 10.24 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.58 hours.
time per square root: 0.05 hours.
Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,200000
total time: 10.95 hours.
x86_64
Linux-3.13.0-43-generic-x86_64-with-Ubuntu-14.04-trusty
processors: 4, speed: 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:42 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 42 秒 (日本時間)

10176-41

c175

name 名前Serge Batalov
date 日付November 22, 2014 04:42:41 UTC 2014 年 11 月 22 日 (土) 13 時 42 分 41 秒 (日本時間)
composite number 合成数
1694915254237288135593220338983050847457627118644067796610169491525423728813559322033898305084745762711864406779661016949152542372881355932203389830508474576271186440677966101<175>
prime factors 素因数
133606076420108078026873451960810722714173187<45>
12685914440806067845693066333954597132682070116349213457043240650453852989745777158904478221617505596051316078504937230160305084423<131>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2787182531
Step 1 took 15346ms
Step 2 took 11327ms
********** Factor found in step 2: 133606076420108078026873451960810722714173187
Found probable prime factor of 45 digits: 133606076420108078026873451960810722714173187
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:43 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 43 秒 (日本時間)

10179-41

c148

name 名前Cyp
date 日付December 4, 2014 02:16:53 UTC 2014 年 12 月 4 日 (木) 11 時 16 分 53 秒 (日本時間)
composite number 合成数
2110210081688348797648837433476899849372693329059955473315437059310796506501080087321103814708466597669576519787232865812254007425634110707046155143<148>
prime factors 素因数
236635696008661598630566314460073477<36>
8917547594387909166575093504067253045503970145417609207559204038210463095612511073966660230204152407247091660059<112>
factorization results 素因数分解の結果
Run 266 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2967763543
Step 1 took 42266ms
********** Factor found in step 1: 236635696008661598630566314460073477
Found probable prime factor of 36 digits: 236635696008661598630566314460073477
Probable prime cofactor 8917547594387909166575093504067253045503970145417609207559204038210463095612511073966660230204152407247091660059 has 112 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:43 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 43 秒 (日本時間)
403e60 / 1155--
4511e6266 / 4434CypDecember 4, 2014 02:16:53 UTC 2014 年 12 月 4 日 (木) 11 時 16 分 53 秒 (日本時間)

10180-41

c143

name 名前Cyp
date 日付December 1, 2014 18:02:28 UTC 2014 年 12 月 2 日 (火) 3 時 2 分 28 秒 (日本時間)
composite number 合成数
76396523696294010350969053304246842925003849129593555059988137413410634399724642924587106951838013159431635542132722113744845548816504693822831<143>
prime factors 素因数
337813109020433742198212175598271286419<39>
226150263729620137872921627393021935532783247464279450470727359926249720170261322475906468336611007805749<105>
factorization results 素因数分解の結果
Run 479 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1212421222
Step 1 took 42178ms
Step 2 took 14885ms
********** Factor found in step 2: 337813109020433742198212175598271286419
Found probable prime factor of 39 digits: 337813109020433742198212175598271286419
Probable prime cofactor 226150263729620137872921627393021935532783247464279450470727359926249720170261322475906468336611007805749 has 105 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:43 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 43 秒 (日本時間)
403e60 / 420--
4511e6479 / 4434CypDecember 1, 2014 18:02:27 UTC 2014 年 12 月 2 日 (火) 3 時 2 分 27 秒 (日本時間)

10181-41

c175

name 名前Jo Yeong Uk
date 日付January 21, 2016 08:50:28 UTC 2016 年 1 月 21 日 (木) 17 時 50 分 28 秒 (日本時間)
composite number 合成数
2740539179159186136598886738174641955407590800229218696944874328465130886780927053150290894531171851812469288832823547370356738725490330418587213685594931317977361502056637627<175>
prime factors 素因数
1110290846112466194259674550529561175483520236869826324082736657<64>
2468307460837684858491314301898609920385486058726425197900532358347921611656708947313373920770319630275716979211<112>
factorization results 素因数分解の結果
Number: 99959_181
N=2740539179159186136598886738174641955407590800229218696944874328465130886780927053150290894531171851812469288832823547370356738725490330418587213685594931317977361502056637627
  ( 175 digits)
SNFS difficulty: 181 digits.
Divisors found:
 r1=1110290846112466194259674550529561175483520236869826324082736657
 r2=2468307460837684858491314301898609920385486058726425197900532358347921611656708947313373920770319630275716979211
Version: 
Total time: 51.07 hours.
Scaled time: 267.33 units (timescale=5.235).
Factorization parameters were as follows:
n: 2740539179159186136598886738174641955407590800229218696944874328465130886780927053150290894531171851812469288832823547370356738725490330418587213685594931317977361502056637627
m: 1000000000000000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 9.133e-11
type: snfs
lss: 1
rlim: 6000000
alim: 6000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 6000000/6000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3000000, 5400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 17940698
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1345489 x 1345737
Total sieving time: 47.79 hours.
Total relation processing time: 1.09 hours.
Matrix solve time: 2.10 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,181,5,0,0,0,0,0,0,0,0,6000000,6000000,28,28,53,53,2.5,2.5,100000
total time: 51.07 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:44 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 44 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 4, 2014 05:27:14 UTC 2014 年 12 月 4 日 (木) 14 時 27 分 14 秒 (日本時間)

10182-41

c178

name 名前Dmitry Domanov
date 日付November 28, 2014 23:27:57 UTC 2014 年 11 月 29 日 (土) 8 時 27 分 57 秒 (日本時間)
composite number 合成数
8452370890034654720649142084354661482545854112078438001859521595807624038542811258558025526160087904657256360409094751077677288479418476882765615755219339024596399290000845237089<178>
prime factors 素因数
38975144656334703142685533233980671521019498297799457930217<59>
216865670790034516891905985094912856227704240714550146656806069209090469332161527232107366172688957178308122638932140217<120>
factorization results 素因数分解の結果
N=8452370890034654720649142084354661482545854112078438001859521595807624038542811258558025526160087904657256360409094751077677288479418476882765615755219339024596399290000845237089
  ( 178 digits)
SNFS difficulty: 182 digits.
Divisors found:
 r1=38975144656334703142685533233980671521019498297799457930217 (pp59)
 r2=216865670790034516891905985094912856227704240714550146656806069209090469332161527232107366172688957178308122638932140217 (pp120)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 142.71 hours.
Scaled time: 0.00 units (timescale=0.000).
Factorization parameters were as follows:
n: 8452370890034654720649142084354661482545854112078438001859521595807624038542811258558025526160087904657256360409094751077677288479418476882765615755219339024596399290000845237089
m: 1000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 7.22e-11
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
qintsize: 160000
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3800000, 10840001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 1658870 x 1659097
Total sieving time: 138.78 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 2.93 hours.
Time per square root: 0.78 hours.
Prototype def-par.txt line would be:
snfs,182.000,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000
total time: 142.71 hours.
 --------- CPU info (if available) ----------
[    0.074811] CPU0: Intel(R) Xeon(R) CPU           E5620  @ 2.40GHz stepping 02
[    0.000000] Memory: 49295964k/51380224k available (5351k kernel code, 1057796k absent, 1026464k reserved, 7000k data, 1344k init)
[    0.000007] Calibrating delay loop (skipped), value calculated using timer frequency.. 4800.38 BogoMIPS (lpj=2400194)
[    0.709831] Total of 16 processors activated (76642.81 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:44 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 44 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:22 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 22 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:20 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 20 秒 (日本時間)

10183-41

c140

name 名前Jo Yeong Uk
date 日付April 10, 2016 03:57:11 UTC 2016 年 4 月 10 日 (日) 12 時 57 分 11 秒 (日本時間)
composite number 合成数
23769321917768158844154552778798858118172372581960032213573914074593292504556974473685904738552441004907238356880018379286666542047689268013<140>
prime factors 素因数
22288136606433810630271839622389038840441448381821389361544519793<65>
1066456220073004285101578809289857033480106298281991095407330153992687420541<76>
factorization results 素因数分解の結果
Number: 99959_183
N=23769321917768158844154552778798858118172372581960032213573914074593292504556974473685904738552441004907238356880018379286666542047689268013
  ( 140 digits)
SNFS difficulty: 183 digits.
Divisors found:
 r1=22288136606433810630271839622389038840441448381821389361544519793
 r2=1066456220073004285101578809289857033480106298281991095407330153992687420541
Version: 
Total time: 62.81 hours.
Scaled time: 326.30 units (timescale=5.195).
Factorization parameters were as follows:
n: 23769321917768158844154552778798858118172372581960032213573914074593292504556974473685904738552441004907238356880018379286666542047689268013
m: 2000000000000000000000000000000000000
deg: 5
c5: 125
c0: -164
skew: 1.06
# Murphy_E = 6.645e-11
type: snfs
lss: 1
rlim: 7000000
alim: 7000000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7000000/7000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 53/53
Sieved rational special-q in [3500000, 6400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 18558057
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1374798 x 1375046
Total sieving time: 58.86 hours.
Total relation processing time: 1.40 hours.
Matrix solve time: 2.13 hours.
Time per square root: 0.42 hours.
Prototype def-par.txt line would be:
snfs,183,5,0,0,0,0,0,0,0,0,7000000,7000000,28,28,53,53,2.5,2.5,100000
total time: 62.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49365468k/51380224k available (5397k kernel code, 1086460k absent, 928296k reserved, 7011k data, 1296k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.82 BogoMIPS (lpj=3399914)
Total of 12 processors activated (81597.93 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:45 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 45 秒 (日本時間)
403e60--
4511e6700 / 4434Pierre JammesMarch 27, 2015 14:06:27 UTC 2015 年 3 月 27 日 (金) 23 時 6 分 27 秒 (日本時間)

10186-41

c163

name 名前Serge Batalov
date 日付November 18, 2014 06:34:55 UTC 2014 年 11 月 18 日 (火) 15 時 34 分 55 秒 (日本時間)
composite number 合成数
7602581633909880985766318930545502928941740038376789038794966687906448646685553623749103723879344382850084388333803480863770472888722363984900842195388067803269743<163>
prime factors 素因数
33427923849790556420291973081264073<35>
composite cofactor 合成数の残り
227432061532517675963117454547767517493005302584307497607221590467824960623431069258020678622744780082588393543000325007936156791<129>
factorization results 素因数分解の結果
Input number is 7602581633909880985766318930545502928941740038376789038794966687906448646685553623749103723879344382850084388333803480863770472888722363984900842195388067803269743 (163 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2042645429
Step 1 took 3661ms
Step 2 took 2516ms
********** Factor found in step 2: 33427923849790556420291973081264073
Found probable prime factor of 35 digits: 33427923849790556420291973081264073
Composite cofactor 227432061532517675963117454547767517493005302584307497607221590467824960623431069258020678622744780082588393543000325007936156791 has 129 digits

c129

name 名前Erik Branger
date 日付February 18, 2015 21:26:58 UTC 2015 年 2 月 19 日 (木) 6 時 26 分 58 秒 (日本時間)
composite number 合成数
227432061532517675963117454547767517493005302584307497607221590467824960623431069258020678622744780082588393543000325007936156791<129>
prime factors 素因数
111663334378463373419084326470681477484494752383<48>
2036765808565920279512792853318274292265154961030473876777823907903276351364295177<82>
factorization results 素因数分解の結果
Number: 99959_186
N = 227432061532517675963117454547767517493005302584307497607221590467824960623431069258020678622744780082588393543000325007936156791 (129 digits)
Divisors found:
r1=111663334378463373419084326470681477484494752383 (pp48)
r2=2036765808565920279512792853318274292265154961030473876777823907903276351364295177 (pp82)
Version: Msieve v. 1.51 (SVN Official Release)
Total time: 43.38 hours.
Factorization parameters were as follows:
# Murphy_E = 8.284e-11, selected by Maksym Voznyy
# sieved up to A5=684
n: 227432061532517675963117454547767517493005302584307497607221590467824960623431069258020678622744780082588393543000325007936156791
Y0: -13391903443147638177925522
Y1: 16812248013853
c0: 541973762329312909362914629040319
c1: 1236277214109894913765971232
c2: -11598032431445227362731
c3: 7463368769337504
c4: 6022351188
c5: 528
skew: 1346312.27
type: gnfs
# selected mechanically
rlim: 8800000
alim: 8800000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 8800000/8800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 17353100
Relations: 2255030 relations
Pruned matrix : 1314796 x 1315027
Polynomial selection time: 0.00 hours.
Total sieving time: 42.10 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 1.07 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,8800000,8800000,28,28,53,53,2.5,2.5,100000
total time: 43.38 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:45 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 45 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:09 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 9 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:04 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 4 秒 (日本時間)
4511e61674 / 3012837Pierre JammesDecember 6, 2014 09:56:32 UTC 2014 年 12 月 6 日 (土) 18 時 56 分 32 秒 (日本時間)
837Pierre JammesDecember 7, 2014 07:27:00 UTC 2014 年 12 月 7 日 (日) 16 時 27 分 0 秒 (日本時間)
5043e6274 / 7093Pierre JammesDecember 7, 2014 07:27:00 UTC 2014 年 12 月 7 日 (日) 16 時 27 分 0 秒 (日本時間)

10187-41

c185

name 名前Serge Batalov
date 日付December 2, 2014 00:46:08 UTC 2014 年 12 月 2 日 (火) 9 時 46 分 8 秒 (日本時間)
composite number 合成数
72992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007<185>
prime factors 素因数
5746498793784103960857077165695345714592501852401354608236847190164623<70>
12702117123714016405483896232140514610450843482372418619819102850147989331793036346307201609365364057209069051189809<116>
factorization results 素因数分解の結果
Mon Dec  1 16:45:12 2014  prp70 factor: 5746498793784103960857077165695345714592501852401354608236847190164623
Mon Dec  1 16:45:12 2014  prp116 factor: 12702117123714016405483896232140514610450843482372418619819102850147989331793036346307201609365364057209069051189809
Mon Dec  1 16:45:12 2014  elapsed time 00:04:23
software ソフトウェア
Msieve v. 1.52 (SVN 923M)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:45 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 45 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:23 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 23 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:22 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 22 秒 (日本時間)

10188-41

c176

name 名前LegionMammal978
date 日付July 22, 2017 10:51:53 UTC 2017 年 7 月 22 日 (土) 19 時 51 分 53 秒 (日本時間)
composite number 合成数
17290968258686906364301706826340438665803301341665080823289490861786640025615294383914157778439574689596523695150970871665318563315212710154388293396321675992012890238342877393<176>
prime factors 素因数
711777000442584982900397390835426445814173<42>
38988213329066673908141609135348992340454810497220191957525625497<65>
623077443424318180533747714631065659737821548812760718033157651709453<69>
factorization results 素因数分解の結果
Sat Jul 22 02:45:40 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 22 02:45:40 2017  random seeds: ef38d254 128ba464
Sat Jul 22 02:45:40 2017  factoring 17290968258686906364301706826340438665803301341665080823289490861786640025615294383914157778439574689596523695150970871665318563315212710154388293396321675992012890238342877393 (176 digits)
Sat Jul 22 02:45:41 2017  no P-1/P+1/ECM available, skipping
Sat Jul 22 02:45:41 2017  commencing number field sieve (176-digit input)
Sat Jul 22 02:45:41 2017  R0: -10000000000000000000000000000000000000
Sat Jul 22 02:45:41 2017  R1: 1
Sat Jul 22 02:45:41 2017  A0: -41
Sat Jul 22 02:45:41 2017  A1: 0
Sat Jul 22 02:45:41 2017  A2: 0
Sat Jul 22 02:45:41 2017  A3: 0
Sat Jul 22 02:45:41 2017  A4: 0
Sat Jul 22 02:45:41 2017  A5: 1000
Sat Jul 22 02:45:41 2017  skew 0.53, size 3.168e-13, alpha -0.117, combined = 4.157e-11 rroots = 1
Sat Jul 22 02:45:41 2017  
Sat Jul 22 02:45:41 2017  commencing relation filtering
Sat Jul 22 02:45:41 2017  estimated available RAM is 15929.4 MB
Sat Jul 22 02:45:41 2017  commencing duplicate removal, pass 1
Sat Jul 22 02:48:16 2017  found 3130372 hash collisions in 21872582 relations
Sat Jul 22 02:48:35 2017  added 400 free relations
Sat Jul 22 02:48:35 2017  commencing duplicate removal, pass 2
Sat Jul 22 02:48:40 2017  found 2794016 duplicates and 19078966 unique relations
Sat Jul 22 02:48:40 2017  memory use: 98.6 MB
Sat Jul 22 02:48:40 2017  reading ideals above 720000
Sat Jul 22 02:48:40 2017  commencing singleton removal, initial pass
Sat Jul 22 02:50:36 2017  memory use: 689.0 MB
Sat Jul 22 02:50:36 2017  reading all ideals from disk
Sat Jul 22 02:50:36 2017  memory use: 606.4 MB
Sat Jul 22 02:50:37 2017  keeping 21302225 ideals with weight <= 200, target excess is 116338
Sat Jul 22 02:50:38 2017  commencing in-memory singleton removal
Sat Jul 22 02:50:39 2017  begin with 19078966 relations and 21302225 unique ideals
Sat Jul 22 02:50:47 2017  reduce to 7564077 relations and 7396433 ideals in 21 passes
Sat Jul 22 02:50:47 2017  max relations containing the same ideal: 107
Sat Jul 22 02:50:49 2017  removing 276246 relations and 259900 ideals in 16346 cliques
Sat Jul 22 02:50:49 2017  commencing in-memory singleton removal
Sat Jul 22 02:50:49 2017  begin with 7287831 relations and 7396433 unique ideals
Sat Jul 22 02:50:52 2017  reduce to 7278238 relations and 7126913 ideals in 9 passes
Sat Jul 22 02:50:52 2017  max relations containing the same ideal: 104
Sat Jul 22 02:50:54 2017  removing 199373 relations and 183027 ideals in 16346 cliques
Sat Jul 22 02:50:54 2017  commencing in-memory singleton removal
Sat Jul 22 02:50:55 2017  begin with 7078865 relations and 7126913 unique ideals
Sat Jul 22 02:50:57 2017  reduce to 7073943 relations and 6938952 ideals in 7 passes
Sat Jul 22 02:50:57 2017  max relations containing the same ideal: 100
Sat Jul 22 02:50:58 2017  relations with 0 large ideals: 2931
Sat Jul 22 02:50:58 2017  relations with 1 large ideals: 904
Sat Jul 22 02:50:58 2017  relations with 2 large ideals: 16574
Sat Jul 22 02:50:58 2017  relations with 3 large ideals: 132160
Sat Jul 22 02:50:58 2017  relations with 4 large ideals: 558896
Sat Jul 22 02:50:58 2017  relations with 5 large ideals: 1377369
Sat Jul 22 02:50:58 2017  relations with 6 large ideals: 2093282
Sat Jul 22 02:50:58 2017  relations with 7+ large ideals: 2891827
Sat Jul 22 02:50:58 2017  commencing 2-way merge
Sat Jul 22 02:51:01 2017  reduce to 4085076 relation sets and 3950085 unique ideals
Sat Jul 22 02:51:01 2017  commencing full merge
Sat Jul 22 02:51:43 2017  memory use: 473.7 MB
Sat Jul 22 02:51:43 2017  found 2084845 cycles, need 2074285
Sat Jul 22 02:51:43 2017  weight of 2074285 cycles is about 145352271 (70.07/cycle)
Sat Jul 22 02:51:43 2017  distribution of cycle lengths:
Sat Jul 22 02:51:43 2017  1 relations: 315529
Sat Jul 22 02:51:43 2017  2 relations: 272843
Sat Jul 22 02:51:43 2017  3 relations: 252511
Sat Jul 22 02:51:43 2017  4 relations: 216207
Sat Jul 22 02:51:43 2017  5 relations: 183688
Sat Jul 22 02:51:43 2017  6 relations: 152242
Sat Jul 22 02:51:43 2017  7 relations: 127312
Sat Jul 22 02:51:43 2017  8 relations: 103273
Sat Jul 22 02:51:43 2017  9 relations: 83734
Sat Jul 22 02:51:43 2017  10+ relations: 366946
Sat Jul 22 02:51:43 2017  heaviest cycle: 28 relations
Sat Jul 22 02:51:44 2017  commencing cycle optimization
Sat Jul 22 02:51:46 2017  start with 11909078 relations
Sat Jul 22 02:51:56 2017  pruned 245636 relations
Sat Jul 22 02:51:56 2017  memory use: 404.1 MB
Sat Jul 22 02:51:56 2017  distribution of cycle lengths:
Sat Jul 22 02:51:56 2017  1 relations: 315529
Sat Jul 22 02:51:56 2017  2 relations: 278699
Sat Jul 22 02:51:56 2017  3 relations: 260223
Sat Jul 22 02:51:56 2017  4 relations: 219760
Sat Jul 22 02:51:56 2017  5 relations: 186483
Sat Jul 22 02:51:56 2017  6 relations: 153044
Sat Jul 22 02:51:56 2017  7 relations: 126923
Sat Jul 22 02:51:56 2017  8 relations: 102054
Sat Jul 22 02:51:56 2017  9 relations: 81963
Sat Jul 22 02:51:56 2017  10+ relations: 349607
Sat Jul 22 02:51:56 2017  heaviest cycle: 28 relations
Sat Jul 22 02:51:58 2017  RelProcTime: 377
Sat Jul 22 02:51:59 2017  elapsed time 00:06:19
Sat Jul 22 02:51:59 2017 LatSieveTime: 1987.32
Sat Jul 22 02:51:59 2017 -> Running matrix solving step ...
Sat Jul 22 02:51:59 2017 -> ./msieve -s 99959_188/99959_188.dat -l 99959_188/99959_188.log -i 99959_188/99959_188.ini -nf 99959_188/99959_188.fb -t 2 -nc2
Sat Jul 22 02:51:59 2017  
Sat Jul 22 02:51:59 2017  
Sat Jul 22 02:51:59 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 22 02:51:59 2017  random seeds: ea90c86d 8c9bdf00
Sat Jul 22 02:51:59 2017  factoring 17290968258686906364301706826340438665803301341665080823289490861786640025615294383914157778439574689596523695150970871665318563315212710154388293396321675992012890238342877393 (176 digits)
Sat Jul 22 02:52:00 2017  no P-1/P+1/ECM available, skipping
Sat Jul 22 02:52:00 2017  commencing number field sieve (176-digit input)
Sat Jul 22 02:52:00 2017  R0: -10000000000000000000000000000000000000
Sat Jul 22 02:52:00 2017  R1: 1
Sat Jul 22 02:52:00 2017  A0: -41
Sat Jul 22 02:52:00 2017  A1: 0
Sat Jul 22 02:52:00 2017  A2: 0
Sat Jul 22 02:52:00 2017  A3: 0
Sat Jul 22 02:52:00 2017  A4: 0
Sat Jul 22 02:52:00 2017  A5: 1000
Sat Jul 22 02:52:00 2017  skew 0.53, size 3.168e-13, alpha -0.117, combined = 4.157e-11 rroots = 1
Sat Jul 22 02:52:00 2017  
Sat Jul 22 02:52:00 2017  commencing linear algebra
Sat Jul 22 02:52:00 2017  read 2074285 cycles
Sat Jul 22 02:52:02 2017  cycles contain 6891226 unique relations
Sat Jul 22 02:52:35 2017  read 6891226 relations
Sat Jul 22 02:52:39 2017  using 20 quadratic characters above 4294917295
Sat Jul 22 02:53:06 2017  building initial matrix
Sat Jul 22 02:53:45 2017  memory use: 847.3 MB
Sat Jul 22 02:53:45 2017  read 2074285 cycles
Sat Jul 22 02:53:46 2017  matrix is 2074107 x 2074285 (622.5 MB) with weight 184275226 (88.84/col)
Sat Jul 22 02:53:46 2017  sparse part has weight 140371727 (67.67/col)
Sat Jul 22 02:53:57 2017  filtering completed in 2 passes
Sat Jul 22 02:53:58 2017  matrix is 2071091 x 2071268 (622.2 MB) with weight 184170170 (88.92/col)
Sat Jul 22 02:53:58 2017  sparse part has weight 140334852 (67.75/col)
Sat Jul 22 02:54:02 2017  matrix starts at (0, 0)
Sat Jul 22 02:54:02 2017  matrix is 2071091 x 2071268 (622.2 MB) with weight 184170170 (88.92/col)
Sat Jul 22 02:54:02 2017  sparse part has weight 140334852 (67.75/col)
Sat Jul 22 02:54:02 2017  saving the first 48 matrix rows for later
Sat Jul 22 02:54:02 2017  matrix includes 64 packed rows
Sat Jul 22 02:54:02 2017  matrix is 2071043 x 2071268 (589.7 MB) with weight 146477093 (70.72/col)
Sat Jul 22 02:54:02 2017  sparse part has weight 133874535 (64.63/col)
Sat Jul 22 02:54:02 2017  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
Sat Jul 22 02:54:07 2017  commencing Lanczos iteration (2 threads)
Sat Jul 22 02:54:07 2017  memory use: 473.7 MB
Sat Jul 22 02:54:15 2017  linear algebra at 0.1%, ETA 3h 2m
Sat Jul 22 02:54:17 2017  checkpointing every 730000 dimensions
Sat Jul 22 05:43:11 2017  lanczos halted after 32754 iterations (dim = 2071039)
Sat Jul 22 05:43:12 2017  recovered 36 nontrivial dependencies
Sat Jul 22 05:43:12 2017  BLanczosTime: 10272
Sat Jul 22 05:43:12 2017  elapsed time 02:51:13
Sat Jul 22 05:43:12 2017 -> Running square root step ...
Sat Jul 22 05:43:12 2017 -> ./msieve -s 99959_188/99959_188.dat -l 99959_188/99959_188.log -i 99959_188/99959_188.ini -nf 99959_188/99959_188.fb -t 2 -nc3
Sat Jul 22 05:43:12 2017  
Sat Jul 22 05:43:12 2017  
Sat Jul 22 05:43:12 2017  Msieve v. 1.53 (SVN Unversioned directory)
Sat Jul 22 05:43:12 2017  random seeds: fd178d56 a6d66669
Sat Jul 22 05:43:12 2017  factoring 17290968258686906364301706826340438665803301341665080823289490861786640025615294383914157778439574689596523695150970871665318563315212710154388293396321675992012890238342877393 (176 digits)
Sat Jul 22 05:43:13 2017  no P-1/P+1/ECM available, skipping
Sat Jul 22 05:43:13 2017  commencing number field sieve (176-digit input)
Sat Jul 22 05:43:13 2017  R0: -10000000000000000000000000000000000000
Sat Jul 22 05:43:13 2017  R1: 1
Sat Jul 22 05:43:13 2017  A0: -41
Sat Jul 22 05:43:13 2017  A1: 0
Sat Jul 22 05:43:13 2017  A2: 0
Sat Jul 22 05:43:13 2017  A3: 0
Sat Jul 22 05:43:13 2017  A4: 0
Sat Jul 22 05:43:13 2017  A5: 1000
Sat Jul 22 05:43:13 2017  skew 0.53, size 3.168e-13, alpha -0.117, combined = 4.157e-11 rroots = 1
Sat Jul 22 05:43:13 2017  
Sat Jul 22 05:43:13 2017  commencing square root phase
Sat Jul 22 05:43:13 2017  reading relations for dependency 1
Sat Jul 22 05:43:13 2017  read 1035077 cycles
Sat Jul 22 05:43:14 2017  cycles contain 3442724 unique relations
Sat Jul 22 05:43:31 2017  read 3442724 relations
Sat Jul 22 05:43:41 2017  multiplying 3442724 relations
Sat Jul 22 05:45:24 2017  multiply complete, coefficients have about 110.31 million bits
Sat Jul 22 05:45:25 2017  initial square root is modulo 82808291
Sat Jul 22 05:47:30 2017  found factor: 623077443424318180533747714631065659737821548812760718033157651709453
Sat Jul 22 05:47:30 2017  reading relations for dependency 2
Sat Jul 22 05:47:30 2017  read 1034100 cycles
Sat Jul 22 05:47:31 2017  cycles contain 3443494 unique relations
Sat Jul 22 05:47:48 2017  read 3443494 relations
Sat Jul 22 05:47:57 2017  multiplying 3443494 relations
Sat Jul 22 05:49:39 2017  multiply complete, coefficients have about 110.34 million bits
Sat Jul 22 05:49:39 2017  initial square root is modulo 83146691
Sat Jul 22 05:51:44 2017  found factor: 623077443424318180533747714631065659737821548812760718033157651709453
Sat Jul 22 05:51:44 2017  reading relations for dependency 3
Sat Jul 22 05:51:44 2017  read 1035433 cycles
Sat Jul 22 05:51:45 2017  cycles contain 3444892 unique relations
Sat Jul 22 05:52:02 2017  read 3444892 relations
Sat Jul 22 05:52:11 2017  multiplying 3444892 relations
Sat Jul 22 05:53:54 2017  multiply complete, coefficients have about 110.38 million bits
Sat Jul 22 05:53:54 2017  initial square root is modulo 83753161
Sat Jul 22 05:55:59 2017  GCD is N, no factor found
Sat Jul 22 05:55:59 2017  reading relations for dependency 4
Sat Jul 22 05:55:59 2017  read 1035399 cycles
Sat Jul 22 05:56:00 2017  cycles contain 3445684 unique relations
Sat Jul 22 05:56:17 2017  read 3445684 relations
Sat Jul 22 05:56:26 2017  multiplying 3445684 relations
Sat Jul 22 05:58:09 2017  multiply complete, coefficients have about 110.41 million bits
Sat Jul 22 05:58:09 2017  initial square root is modulo 84108971
Sat Jul 22 06:00:15 2017  sqrtTime: 1022
Sat Jul 22 06:00:15 2017  p42 factor: 711777000442584982900397390835426445814173
Sat Jul 22 06:00:15 2017  p65 factor: 38988213329066673908141609135348992340454810497220191957525625497
Sat Jul 22 06:00:15 2017  p69 factor: 623077443424318180533747714631065659737821548812760718033157651709453
Sat Jul 22 06:00:15 2017  elapsed time 00:17:03
software ソフトウェア
Msieve 1.53 snfs
execution environment 実行環境
Core i7-2600K 3.4GHz, Ubuntu 16.04.2 LTS

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:46 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 46 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 3, 2015 09:05:27 UTC 2015 年 7 月 3 日 (金) 18 時 5 分 27 秒 (日本時間)

10189-41

c175

name 名前Kenji Ibusuki
date 日付March 28, 2018 14:11:47 UTC 2018 年 3 月 28 日 (水) 23 時 11 分 47 秒 (日本時間)
composite number 合成数
2537050798319111090173498667201573912226480909587039891608466025000796223147030524424746291058047815728668532295230770623428165276006877992017342132558227825840091542961346651<175>
prime factors 素因数
277708224841400482235618368325210764825608792960808963<54>
726332490949170335804708156331889811046127554019844575393<57>
12577807648020483477067799450269921447887658123043092513693909289<65>
factorization results 素因数分解の結果
Number: 99959_189
N=2537050798319111090173498667201573912226480909587039891608466025000796223147030524424746291058047815728668532295230770623428165276006877992017342132558227825840091542961346651
  ( 175 digits)
SNFS difficulty: 189 digits.
Divisors found: (Total dependency: 3 (2, 3))
 r1=277708224841400482235618368325210764825608792960808963 (pp54)
 r2=726332490949170335804708156331889811046127554019844575393 (pp57)
 r3=12577807648020483477067799450269921447887658123043092513693909289 (pp65)
Msieve version: Msieve v. 1.49 (SVN unknown)
GGNFS version: GGNFS-0.77.1-VC8(UTE)
Total time: 306.62 hours (15.78 calendar hours).
Scaled time: 1384.38 units (timescale=4.515).
Factorization parameters were as follows:
n: 2537050798319111090173498667201573912226480909587039891608466025000796223147030524424746291058047815728668532295230770623428165276006877992017342132558227825840091542961346651
m: 50000000000000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
# Murphy_E = 3.924e-11
type: snfs
lss: 1
rlim: 10200000
alim: 10200000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
relslim: 29100000
qintsize: 5000

Polynomial score was as follows:
skew 1.67, size 3.577e-013, alpha 0.316, combined = 4.411e-011 rroots = 1
Factor base limits: 10200000/10200000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [5100000, 21695001)
Relations: raw-rels:29298419 rels:25459173, finalFF:1497356
Pruned matrix : 1496913 x 1497138
Total sieving time: 297.36 hours (14.22 calendar hours).
Total relation processing time: 0.11 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 8.98 hours (1.28 calendar hours).
Total time of square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,189,5,0,0,0,0,0,0,0,0,10200000,10200000,28,28,54,54,2.5,2.5,100000
total time: 306.62 hours (15.78 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) snfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:46 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 46 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 1, 2015 10:29:48 UTC 2015 年 6 月 1 日 (月) 19 時 29 分 48 秒 (日本時間)

10190-41

c170

name 名前Jo Yeong Uk
date 日付August 19, 2018 00:46:35 UTC 2018 年 8 月 19 日 (日) 9 時 46 分 35 秒 (日本時間)
composite number 合成数
54300041641340877110334913002338613116076675889026228395813500007470196498555658285223507304524449553912807791770524805526841982748601154843975121146231301978781518444049<170>
prime factors 素因数
552800027166529501011367427908066022586332085225683161320589891<63>
98227277447262385194017298202703904004067011569379895533201495079955517148157309041394903319021927990381339<107>
factorization results 素因数分解の結果
Number: 99959_190
N=54300041641340877110334913002338613116076675889026228395813500007470196498555658285223507304524449553912807791770524805526841982748601154843975121146231301978781518444049
  ( 170 digits)
SNFS difficulty: 190 digits.
Divisors found:
 r1=552800027166529501011367427908066022586332085225683161320589891
 r2=98227277447262385194017298202703904004067011569379895533201495079955517148157309041394903319021927990381339
Version: 
Total time: 81.30 hours.
Scaled time: 426.50 units (timescale=5.246).
Factorization parameters were as follows:
n: 54300041641340877110334913002338613116076675889026228395813500007470196498555658285223507304524449553912807791770524805526841982748601154843975121146231301978781518444049
m: 100000000000000000000000000000000000000
deg: 5
c5: 1
c0: -41
skew: 2.10
# Murphy_E = 4.963e-11
type: snfs
lss: 1
rlim: 9000000
alim: 9000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 9000000/9000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4500000, 8000001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 20331710
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1792218 x 1792466
Total sieving time: 75.07 hours.
Total relation processing time: 1.87 hours.
Matrix solve time: 4.27 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
snfs,190,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,54,54,2.5,2.5,100000
total time: 81.30 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:47 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 47 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 09:41:21 UTC 2014 年 12 月 1 日 (月) 18 時 41 分 21 秒 (日本時間)

10191-41

c182

name 名前Serge Batalov
date 日付November 18, 2014 06:22:34 UTC 2014 年 11 月 18 日 (火) 15 時 22 分 34 秒 (日本時間)
composite number 合成数
80851829716806869304696555284913847633476929390032961099890956835149366628313011154514897676887529968347179736056760164226527587365093436429140002316033002969819493980754704758471131<182>
prime factors 素因数
866985566681753770494129497624203<33>
93256258032361595012944642206167661053866679921674149108817108012969587426536488944862954398680535309893605960118642737742095737491381560378040302577<149>
factorization results 素因数分解の結果
Input number is 80851829716806869304696555284913847633476929390032961099890956835149366628313011154514897676887529968347179736056760164226527587365093436429140002316033002969819493980754704758471131 (182 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2509682389
Step 1 took 4558ms
Step 2 took 2839ms
********** Factor found in step 2: 866985566681753770494129497624203
Found probable prime factor of 33 digits: 866985566681753770494129497624203
Probable prime cofactor 93256258032361595012944642206167661053866679921674149108817108012969587426536488944862954398680535309893605960118642737742095737491381560378040302577 has 149 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:47 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 47 秒 (日本時間)

10192-41

c166

name 名前Jo Yeong Uk
date 日付October 21, 2018 12:16:17 UTC 2018 年 10 月 21 日 (日) 21 時 16 分 17 秒 (日本時間)
composite number 合成数
3269715993985009072171653315631801193907591298177740518280006073594368573966775593121865166876615913664878799555461172258130796724247684135810206562111427081924947907<166>
prime factors 素因数
8955858339123074532904037330318808766558829721353412616214741<61>
365092419975143098689472018730376091813687700434885538652721845162341301731448634480636398570024837263927<105>
factorization results 素因数分解の結果
Number: 99959_192
N=3269715993985009072171653315631801193907591298177740518280006073594368573966775593121865166876615913664878799555461172258130796724247684135810206562111427081924947907
  ( 166 digits)
SNFS difficulty: 192 digits.
Divisors found:
 r1=8955858339123074532904037330318808766558829721353412616214741
 r2=365092419975143098689472018730376091813687700434885538652721845162341301731448634480636398570024837263927
Version: 
Total time: 142.81 hours.
Scaled time: 749.34 units (timescale=5.247).
Factorization parameters were as follows:
n: 3269715993985009072171653315631801193907591298177740518280006073594368573966775593121865166876615913664878799555461172258130796724247684135810206562111427081924947907
m: 100000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 2.816e-11
type: snfs
lss: 1
rlim: 11000000
alim: 11000000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 11000000/11000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved rational special-q in [5500000, 11500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 23135758
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2208040 x 2208288
Total sieving time: 131.38 hours.
Total relation processing time: 3.71 hours.
Matrix solve time: 7.39 hours.
Time per square root: 0.34 hours.
Prototype def-par.txt line would be:
snfs,192,5,0,0,0,0,0,0,0,0,11000000,11000000,28,28,55,55,2.5,2.5,100000
total time: 142.81 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49367604k/51380224k available (5540k kernel code, 1086464k absent, 926156k reserved, 6889k data, 1348k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.73 BogoMIPS (lpj=3399865)
Total of 12 processors activated (81596.76 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:48 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 48 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 27, 2015 19:14:25 UTC 2015 年 6 月 28 日 (日) 4 時 14 分 25 秒 (日本時間)

10193-41

c149

name 名前Pierre Jammes
date 日付April 27, 2015 06:23:33 UTC 2015 年 4 月 27 日 (月) 15 時 23 分 33 秒 (日本時間)
composite number 合成数
74548804169345202433426190081565025663272945081530317925835979647093084880169765355590327961630979445183933957429741569534195102884164856915121820299<149>
prime factors 素因数
9561289532716835991792999334922381<34>
7796940351430001540890269961835933990528740852893884961912286327808210189779811305147326012107550087272887727996279<115>
factorization results 素因数分解の結果
Using B1=11000000, B2=144269945836, polynomial Dickson(12), sigma=3106067246
Step 1 took 58820ms
********** Factor found in step 1: 9561289532716835991792999334922381
Found probable prime factor of 34 digits: 9561289532716835991792999334922381
Probable prime cofactor 7796940351430001540890269961835933990528740852893884961912286327808210189779811305147326012107550087272887727996279 has 115 digits
software ソフトウェア
GMP-ECM 6.4.4
execution environment 実行環境
debian 8

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:48 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 48 秒 (日本時間)

10194-41

c191

name 名前Robert Backstrom
date 日付December 31, 2014 08:00:20 UTC 2014 年 12 月 31 日 (水) 17 時 0 分 20 秒 (日本時間)
composite number 合成数
11503508570113884734844127458874956861842862072932244334522029218911768089267226504083745542390429080869665247900609685954216035890946738755320372713677671689865408949729667548602323708731163<191>
prime factors 素因数
430108710178825747402436516201289245285231<42>
26745583843980015457556928237200750930542847633645120266216176830575716996575751595127176009375061355609200867241878292630011848730032839286235140373<149>
factorization results 素因数分解の結果
Number: n
N=11503508570113884734844127458874956861842862072932244334522029218911768089267226504083745542390429080869665247900609685954216035890946738755320372713677671689865408949729667548602323708731163
  ( 191 digits)
SNFS difficulty: 194 digits.
Divisors found:

Wed Dec 31 18:48:28 2014  prp42 factor: 430108710178825747402436516201289245285231
Wed Dec 31 18:48:28 2014  prp149 factor: 26745583843980015457556928237200750930542847633645120266216176830575716996575751595127176009375061355609200867241878292630011848730032839286235140373
Wed Dec 31 18:48:28 2014  elapsed time 01:41:37 (Msieve 1.44 - dependency 1)

Version: GGNFS-0.77.1-20060513-nocona
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.281).
Factorization parameters were as follows:
#
#  N = 10^194-41 9(192)59
#
n: 11503508570113884734844127458874956861842862072932244334522029218911768089267226504083745542390429080869665247900609685954216035890946738755320372713677671689865408949729667548602323708731163
m: 500000000000000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
# Murphy_E = 2.44e-11
type: snfs
lss: 1
rlim: 12300000
alim: 12300000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 12300000/12300000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 55/55
Sieved  special-q in [100000, 14550000)
Primes: RFBsize:806435, AFBsize:806685,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 4455376 hash collisions in 32135521 relations (29383152 unique)
Msieve: matrix is 1503062 x 1503289 (423.1 MB)

Total sieving time: 0.00 hours.
Total relation processing time: 1hrs 32min 41sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 1min 42sec.

Prototype def-par.txt line would be:
snfs,194,5,0,0,0,0,0,0,0,0,12300000,12300000,28,28,55,55,2.5,2.5,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.038914] smpboot: CPU0: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz (fam: 06, model: 3c, stepping: 03)
[    0.000000] Memory: 16059668K/16661464K available (7375K kernel code, 1160K rwdata, 3228K rodata, 1468K init, 1504K bss, 601796K reserved)
[    1.131637] [drm] Memory usable by graphics device = 2048M
[    0.000027] Calibrating delay loop (skipped), value calculated using timer frequency.. 7200.29 BogoMIPS (lpj=3600149)
[    0.136791] smpboot: Total of 8 processors activated (57602.38 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:48 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 48 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:25 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 25 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:24 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 24 秒 (日本時間)

10197-41

c188

name 名前Jo Yeong Uk
date 日付January 17, 2019 06:36:52 UTC 2019 年 1 月 17 日 (木) 15 時 36 分 52 秒 (日本時間)
composite number 合成数
21606771425437082401458759738871130584748745916680223421267771509808715937505259695855397726274457603148058888934875540814598873012020298741561154829324522545400149739636254449726326072723<188>
prime factors 素因数
54007320450130175256254339657556211827052333<44>
composite cofactor 合成数の残り
400071161563895048518042305102786950895925815452522740248089418606749876742260904352573229063952191428515580111070475081214498761305675799248831<144>
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 21606771425437082401458759738871130584748745916680223421267771509808715937505259695855397726274457603148058888934875540814598873012020298741561154829324522545400149739636254449726326072723 (188 digits)
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2347587407
Step 1 took 34318ms
Step 2 took 11267ms
********** Factor found in step 2: 54007320450130175256254339657556211827052333
Found probable prime factor of 44 digits: 54007320450130175256254339657556211827052333
Composite cofactor 400071161563895048518042305102786950895925815452522740248089418606749876742260904352573229063952191428515580111070475081214498761305675799248831 has 144 digits
execution environment 実行環境
Core i7-4930K

c144

name 名前Jo Yeong Uk
date 日付April 25, 2019 14:25:20 UTC 2019 年 4 月 25 日 (木) 23 時 25 分 20 秒 (日本時間)
composite number 合成数
400071161563895048518042305102786950895925815452522740248089418606749876742260904352573229063952191428515580111070475081214498761305675799248831<144>
prime factors 素因数
275199929869773110478264366332818305973759984945862739931<57>
1453747323820947340538174015813116232566730956750330673985541991732972484689028331441901<88>
factorization results 素因数分解の結果
Number: 99959_197
N=400071161563895048518042305102786950895925815452522740248089418606749876742260904352573229063952191428515580111070475081214498761305675799248831
  ( 144 digits)
SNFS difficulty: 197 digits.
Divisors found:
 r1=275199929869773110478264366332818305973759984945862739931
 r2=1453747323820947340538174015813116232566730956750330673985541991732972484689028331441901
Version: 
Total time: 202.39 hours.
Scaled time: 1017.22 units (timescale=5.026).
Factorization parameters were as follows:
n: 400071161563895048518042305102786950895925815452522740248089418606749876742260904352573229063952191428515580111070475081214498761305675799248831
m: 1000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 1.748e-11
type: snfs
lss: 1
rlim: 14000000
alim: 14000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5

Factor base limits: 14000000/14000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [7000000, 14900001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 35083707
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2818344 x 2818591
Total sieving time: 180.97 hours.
Total relation processing time: 7.17 hours.
Matrix solve time: 14.06 hours.
Time per square root: 0.19 hours.
Prototype def-par.txt line would be:
snfs,197,5,0,0,0,0,0,0,0,0,14000000,14000000,29,29,55,55,2.5,2.5,100000
total time: 202.39 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:49 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 49 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 05:45:16 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 16 秒 (日本時間)

10198-41

c153

name 名前Jo Yeong Uk
date 日付June 13, 2019 15:25:08 UTC 2019 年 6 月 14 日 (金) 0 時 25 分 8 秒 (日本時間)
composite number 合成数
331500193185586787079477630346595720417872168967662359191075432929962917121248817395499703628589096484271026272117054652576858481556095238249187647254749<153>
prime factors 素因数
1338920075680927845406903816142842282020625148447<49>
247587738212826035899901979475816656303179103211307840635504797242578155833660479706132101538224934190467<105>
factorization results 素因数分解の結果
Number: 99959_198
N=331500193185586787079477630346595720417872168967662359191075432929962917121248817395499703628589096484271026272117054652576858481556095238249187647254749
  ( 153 digits)
SNFS difficulty: 198 digits.
Divisors found:
 r1=1338920075680927845406903816142842282020625148447
 r2=247587738212826035899901979475816656303179103211307840635504797242578155833660479706132101538224934190467
Version: 
Total time: 228.77 hours.
Scaled time: 1200.83 units (timescale=5.249).
Factorization parameters were as follows:
n: 331500193185586787079477630346595720417872168967662359191075432929962917121248817395499703628589096484271026272117054652576858481556095238249187647254749
m: 1000000000000000000000000000000000
deg: 6
c6: 1
c0: -41
skew: 1.86
# Murphy_E = 1.607e-11
type: snfs
lss: 1
rlim: 16000000
alim: 16000000
lpbr: 29
lpba: 29
mfbr: 55
mfba: 55
rlambda: 2.5
alambda: 2.5
Factor base limits: 16000000/16000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 55/55
Sieved rational special-q in [8000000, 16800001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 34907663
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 2778927 x 2779174
Total sieving time: 205.54 hours.
Total relation processing time: 8.73 hours.
Matrix solve time: 13.80 hours.
Time per square root: 0.70 hours.
Prototype def-par.txt line would be:
snfs,198,6,0,0,0,0,0,0,0,0,16000000,16000000,29,29,55,55,2.5,2.5,100000
total time: 228.77 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:49 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 49 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 05:45:19 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 19 秒 (日本時間)

10200-41

c104

name 名前Serge Batalov
date 日付November 19, 2014 05:10:15 UTC 2014 年 11 月 19 日 (水) 14 時 10 分 15 秒 (日本時間)
composite number 合成数
39487319031340874374459751327679764642448155333575444122978503373067273461081797278740266478522120671893<104>
prime factors 素因数
560632821870086621427203204961977177606460461129<48>
70433477118988808242870527669259474612145848767580686317<56>
factorization results 素因数分解の結果
Divisors found:
 r1=560632821870086621427203204961977177606460461129 (pp48)
 r2=70433477118988808242870527669259474612145848767580686317 (pp56)
Version: Msieve v. 1.51 (SVN 719M)
Total time: 3.26 hours.
Scaled time: 7.81 units (timescale=2.400).
Factorization parameters were as follows:
name: test
type: gnfs
n:  39487319031340874374459751327679764642448155333575444122978503373067273461081797278740266478522120671893
skew:  6952645.81
Y0:  -16730423647347799209964271
Y1:  41575934959183
c0:  538329649372414323413087427210
c1:  8809582318063066929635
c2:  -33783480121297384
c3:  -299287240
c4:  504
Factor base limits: 2300000/2300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1150000, 1850001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 279815 x 280048
Total sieving time: 3.12 hours.
Total relation processing time: 0.04 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
gnfs,103,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2300000,2300000,26,26,49,49,2.6,2.6,100000
total time: 3.26 hours.

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:50 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 50 秒 (日本時間)

10201-41

c179

name 名前Serge Batalov
date 日付November 18, 2014 06:38:17 UTC 2014 年 11 月 18 日 (火) 15 時 38 分 17 秒 (日本時間)
composite number 合成数
26357820548997815622447858006571664468095871265035006428937868518636524709067739629461117699547404397849792942953619993061982768860067673672117139525453664868509173029671210117927<179>
prime factors 素因数
9599216456841574363834950343455673<34>
composite cofactor 合成数の残り
2745830419337196278980908326147834664880958251172884860721078579652257612012189468391137282418939413579562348717686862385401319526078486384543199<145>
factorization results 素因数分解の結果
Input number is 26357820548997815622447858006571664468095871265035006428937868518636524709067739629461117699547404397849792942953619993061982768860067673672117139525453664868509173029671210117927 (179 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=899055590
Step 1 took 4613ms
Step 2 took 2860ms
********** Factor found in step 2: 9599216456841574363834950343455673
Found probable prime factor of 34 digits: 9599216456841574363834950343455673
Composite cofactor 2745830419337196278980908326147834664880958251172884860721078579652257612012189468391137282418939413579562348717686862385401319526078486384543199 has 145 digits

c145

name 名前Eric Jeancolas
date 日付May 26, 2020 04:22:42 UTC 2020 年 5 月 26 日 (火) 13 時 22 分 42 秒 (日本時間)
composite number 合成数
2745830419337196278980908326147834664880958251172884860721078579652257612012189468391137282418939413579562348717686862385401319526078486384543199<145>
prime factors 素因数
17277943107017460462272188856997271192964033<44>
158921140226580180184854736945904445188959309913530996924612976606721536014499767450577474349391116703<102>
factorization results 素因数分解の結果
2745830419337196278980908326147834664880958251172884860721078579652257612012189468391137282418939413579562348717686862385401319526078486384543199=17277943107017460462272188856997271192964033*158921140226580180184854736945904445188959309913530996924612976606721536014499767450577474349391116703

n: 2745830419337196278980908326147834664880958251172884860721078579652257612012189468391137282418939413579562348717686862385401319526078486384543199
skew: 463283.623
c0: 1353795585027235128097101017471775
c1: -60175211459986796501897302612
c2: 403658360344840716626417
c3: 761690250228959368
c4: -844582569468
c5: 324000
Y0: -6592423853223803726383718842
Y1: 936553227739858519453
# MurphyE (Bf=5.369e+08,Bg=5.369e+08,area=3.355e+14) = 1.76e-07
# found by revision 7f9c8bd19
# f(x) = 324000*x^5-844582569468*x^4+761690250228959368*x^3+403658360344840716626417*x^2-60175211459986796501897302612*x+1353795585027235128097101017471775
# g(x) = 936553227739858519453*x-6592423853223803726383718842

Info:Square Root: Factors: 17277943107017460462272188856997271192964033 158921140226580180184854736945904445188959309913530996924612976606721536014499767450577474349391116703
Info:Square Root: Total cpu/real time for sqrt: 1698.59/499.067
Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info)
Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info)
Info:Generate Factor Base: Total cpu/real time for makefb: 18.12/5.02647
Info:Generate Free Relations: Total cpu/real time for freerel: 469.07/120.899
Warning:Lattice Sieving: some stats could not be displayed for sieving (see log file for debug info)
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 49744873
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 105.73/77.5242
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 77.4s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 560.7/177.115
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 166.0s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 244.26/104.632
Info:Filtering - Merging: Total cpu/real time for merge: 523.96/152.165
Info:Filtering - Merging: Total cpu/real time for replay: 154.53/132.877
Info:Linear Algebra: Total cpu/real time for bwc: 241170/61545.4
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 39245.65, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (113664 iterations)
Info:Linear Algebra: Lingen CPU time 804.9, WCT time 231.99
Info:Linear Algebra: Mksol: WCT time 21593.9, iteration CPU time 0.36, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (56832 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 146.86/59.8252
Info:Square Root: Total cpu/real time for sqrt: 1698.59/499.067
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 176614/63106.9
Info:root: Cleaning up computation data in /tmp/cado.q6ywxxml
17277943107017460462272188856997271192964033 158921140226580180184854736945904445188959309913530996924612976606721536014499767450577474349391116703
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:50 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 50 秒 (日本時間)
403e60--
4511e6601 / 3984CypDecember 1, 2014 01:25:38 UTC 2014 年 12 月 1 日 (月) 10 時 25 分 38 秒 (日本時間)
5043e6128 / 7413Pierre JammesApril 28, 2015 07:33:58 UTC 2015 年 4 月 28 日 (火) 16 時 33 分 58 秒 (日本時間)

10202-41

c198

name 名前Bob Backstrom
date 日付April 13, 2021 13:50:37 UTC 2021 年 4 月 13 日 (火) 22 時 50 分 37 秒 (日本時間)
composite number 合成数
931012010054929708593240852807001210315613071408621171213108649101573410296992831207522577041243832045433386090680569779350153616981659063401917884740713155199702076156782422493250162927101759612699<198>
prime factors 素因数
443035454852947168126239012567860316987184024725075610256630943407845017723758989<81>
2101439060591555304447056192443905170578503556052861758994310994382066746776255623910132145109033518275791901519832391<118>
factorization results 素因数分解の結果
Number: n
N=931012010054929708593240852807001210315613071408621171213108649101573410296992831207522577041243832045433386090680569779350153616981659063401917884740713155199702076156782422493250162927101759612699
  ( 198 digits)
SNFS difficulty: 202 digits.
Divisors found:

Tue Apr 13 23:42:34 2021  p81 factor: 443035454852947168126239012567860316987184024725075610256630943407845017723758989
Tue Apr 13 23:42:34 2021  p118 factor: 2101439060591555304447056192443905170578503556052861758994310994382066746776255623910132145109033518275791901519832391
Tue Apr 13 23:42:34 2021  elapsed time 02:29:27 (Msieve 1.54 - dependency 7)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.352).
Factorization parameters were as follows:
#
# N = 10^202-41 = 9(200)59
#
n: 931012010054929708593240852807001210315613071408621171213108649101573410296992831207522577041243832045433386090680569779350153616981659063401917884740713155199702076156782422493250162927101759612699
m: 10000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 1.08e-11
type: snfs
lss: 1
rlim: 16300000
alim: 16300000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 16300000/16300000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 20950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 5616725 hash collisions in 45820630 relations (41965665 unique)
Msieve: matrix is 2386641 x 2386867 (832.1 MB)

Sieving start time : 2021/04/13 14:40:36
Sieving end time  : 2021/04/13 21:12:19

Total sieving time: 6hrs 31min 43secs.

Total relation processing time: 1hrs 49min 13sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 24min 47sec.

Prototype def-par.txt line would be:
snfs,202,5,0,0,0,0,0,0,0,0,16300000,16300000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.119768] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved)
[    0.153507] x86/mm: Memory block size: 128MB
[    0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.05 BogoMIPS (lpj=12798104)
[    0.152038] smpboot: Total of 16 processors activated (102384.83 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:50 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 50 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:30 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 30 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:29 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 29 秒 (日本時間)

10203-41

c164

name 名前Serge Batalov
date 日付November 17, 2014 21:38:05 UTC 2014 年 11 月 18 日 (火) 6 時 38 分 5 秒 (日本時間)
composite number 合成数
69521713188172047195496249390829736214636903489250039671172574019402534631409914933719429280464282710717205444482968173031736939746454438944760413931007948997058973<164>
prime factors 素因数
14800097745278991605147975171239<32>
807380073950322548460378688364423<33>
5818055438043364518870939038928846674485048568731128919627788691543037690654487716412644410456847309<100>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=2973648052
Step 1 took 4472ms
Step 2 took 142ms
********** Factor found in step 2: 14800097745278991605147975171239
Found probable prime factor of 32 digits: 14800097745278991605147975171239
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=342998068
Step 1 took 4315ms
Step 2 took 3139ms
********** Factor found in step 2: 807380073950322548460378688364423
Found probable prime factor of 33 digits: 807380073950322548460378688364423

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:51 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 51 秒 (日本時間)

10204-41

c159

name 名前ebina
date 日付November 28, 2022 22:36:35 UTC 2022 年 11 月 29 日 (火) 7 時 36 分 35 秒 (日本時間)
composite number 合成数
657161561524733368029986404574375750201036337738827474521572189340052303194746129476729631995417370217627532580210729955198584477564640597667287063326411712361<159>
prime factors 素因数
12778305767515123769370864079672205247354283370470124661318599929066107644251<77>
51427910200377476150958788467286364073421662583371788073712800692151725923634825611<83>
factorization results 素因数分解の結果
Number: 99959_204
N = 657161561524733368029986404574375750201036337738827474521572189340052303194746129476729631995417370217627532580210729955198584477564640597667287063326411712361 (159 digits)
SNFS difficulty: 205 digits.
Divisors found:
r1=12778305767515123769370864079672205247354283370470124661318599929066107644251 (pp77)
r2=51427910200377476150958788467286364073421662583371788073712800692151725923634825611 (pp83)
Version: Msieve v. 1.53 (SVN unknown)
Total time: 94.13 hours.
Factorization parameters were as follows:
n: 657161561524733368029986404574375750201036337738827474521572189340052303194746129476729631995417370217627532580210729955198584477564640597667287063326411712361
m: 50000000000000000000000000000000000000000
deg: 5
c5: 16
c0: -205
skew: 1.67
# Murphy_E = 9.315e-12
type: snfs
lss: 1
rlim: 18100000
alim: 18100000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 18100000/18100000
Large primes per side: 3
Large prime bits: 29/29
Sieved rational special-q in [0, 0)
Total raw relations: 39022016
Relations: 6045938 relations
Pruned matrix : 3638556 x 3638787
Total sieving time: 85.44 hours.
Total relation processing time: 0.63 hours.
Matrix solve time: 7.90 hours.
time per square root: 0.16 hours.
Prototype def-par.txt line would be: snfs,205,5,0,0,0,0,0,0,0,0,18100000,18100000,29,29,56,56,2.6,2.6,100000
total time: 94.13 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
processors: 8, speed: 2.19GHz
Windows-7-6.1.7601-SP1
Running Python 3.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:51 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 51 秒 (日本時間)
403e60--
4511e65081601CypJune 24, 2015 17:40:41 UTC 2015 年 6 月 25 日 (木) 2 時 40 分 41 秒 (日本時間)
4480Ignacio SantosDecember 26, 2021 13:21:42 UTC 2021 年 12 月 26 日 (日) 22 時 21 分 42 秒 (日本時間)

10206-41

c127

name 名前Erik Branger
date 日付December 3, 2014 07:11:54 UTC 2014 年 12 月 3 日 (水) 16 時 11 分 54 秒 (日本時間)
composite number 合成数
1824970750131713114461897783324907222918345483761044432934565383658493698223942638908462786434986413180061532789089802707734901<127>
prime factors 素因数
26056135017983311003249191243351778353659070269<47>
70039963673513461035753365346775941360422399009705067743536409482007817341195929<80>
factorization results 素因数分解の結果
Number: 99959_206
N = 1824970750131713114461897783324907222918345483761044432934565383658493698223942638908462786434986413180061532789089802707734901 (127 digits)
Divisors found:
r1=26056135017983311003249191243351778353659070269 (pp47)
r2=70039963673513461035753365346775941360422399009705067743536409482007817341195929 (pp80)
Version: Msieve v. 1.51 (SVN 845)
Total time: 47.59 hours.
Factorization parameters were as follows:
n: 1824970750131713114461897783324907222918345483761044432934565383658493698223942638908462786434986413180061532789089802707734901
Y0: -3176840642496423124627860
Y1: 1286782613639
c0: -37066048368910594119400208032841
c1: -143078291490158373090561619
c2: 1069074034590256895003
c3: 701962077175699
c4: -11116754442
c5: 5640
skew: 430924.61 
type: gnfs
Factor base limits: 6100000/6100000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 18455180
Relations: 2216514 relations
Pruned matrix : 1214846 x 1215083
Polynomial selection time: 0.00 hours.
Total sieving time: 46.05 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 1.23 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: gnfs,126,5,65,2000,1e-05,0.28,250,20,50000,3600,6100000,6100000,28,28,55,55,2.5,2.5,100000
total time: 47.59 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:51 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 51 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:07 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 7 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:02 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 2 秒 (日本時間)

10207-41

c182

composite cofactor 合成数の残り
29826399948449923658129364422103794267625289180541108213694878860204580744201482134774169503295241005032790784474754931106677007361106574538387241552911444986624705333949455683362671<182>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:52 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 05:45:17 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 17 秒 (日本時間)

10210-41

c189

composite cofactor 合成数の残り
312853930205141063690754379424916774219362980382198200456569035511354364105819307102900071947107073483726807487162143727856639661315795080346759489687444646285164993531798144808364255664779<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:52 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 52 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 29, 2015 21:05:19 UTC 2015 年 5 月 30 日 (土) 6 時 5 分 19 秒 (日本時間)

10211-41

c204

name 名前Bob Backstrom
date 日付November 7, 2019 11:41:25 UTC 2019 年 11 月 7 日 (木) 20 時 41 分 25 秒 (日本時間)
composite number 合成数
197318633147782125737707774300869991665852891737126355216436736854154162009371411698994134723361545491090659210179684069584731689378403092803826939640683952949687635724388569244761550396431879264043329909<204>
prime factors 素因数
801305960111059795324483621285462287782202155942638030037<57>
246246306617305156853419419005610432923033092272192182551211122637615113716434703773301961078981486173174263602405151760334368184219162459591719457<147>
factorization results 素因数分解の結果
Number: n
N=197318633147782125737707774300869991665852891737126355216436736854154162009371411698994134723361545491090659210179684069584731689378403092803826939640683952949687635724388569244761550396431879264043329909
  ( 204 digits)
SNFS difficulty: 211 digits.
Divisors found:

Thu Nov  7 22:35:40 2019  p57 factor: 801305960111059795324483621285462287782202155942638030037
Thu Nov  7 22:35:40 2019  p147 factor: 246246306617305156853419419005610432923033092272192182551211122637615113716434703773301961078981486173174263602405151760334368184219162459591719457
Thu Nov  7 22:35:40 2019  elapsed time 03:59:27 (Msieve 1.54 - dependency 2)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.122).
Factorization parameters were as follows:
#
# N = 10^211-41 = 9(209)59
#
n: 197318633147782125737707774300869991665852891737126355216436736854154162009371411698994134723361545491090659210179684069584731689378403092803826939640683952949687635724388569244761550396431879264043329909
m: 1000000000000000000000000000000000000000000
deg: 5
c5: 10
c0: -41
skew: 1.33
# Murphy_E = 5.169e-12
type: snfs
lss: 1
rlim: 23000000
alim: 23000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 23000000/23000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 51500000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9040099 hash collisions in 60139276 relations (53242546 unique)
Msieve: matrix is 2996301 x 2996526 (1044.4 MB)

Sieving start time: 2019/11/06 21:21:21
Sieving end time  : 2019/11/07 18:35:12

Total sieving time: 21hrs 13min 51secs.

Total relation processing time: 3hrs 33min 22sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 8min 0sec.

Prototype def-par.txt line would be:
snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149912] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16284044K/16703460K available (12300K kernel code, 2481K rwdata, 4256K rodata, 2436K init, 2388K bss, 419416K reserved, 0K cma-reserved)
[    0.184564] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.54 BogoMIPS (lpj=11977096)
[    0.182216] smpboot: Total of 16 processors activated (95816.76 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:53 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 53 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 23, 2015 08:13:08 UTC 2015 年 5 月 23 日 (土) 17 時 13 分 8 秒 (日本時間)

10213-41

c213

name 名前Bob Backstrom
date 日付October 3, 2017 10:39:37 UTC 2017 年 10 月 3 日 (火) 19 時 39 分 37 秒 (日本時間)
composite number 合成数
142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857137<213>
prime factors 素因数
39786565071853147898097222909315862167000293241933272565655990446638203720001402887461780439504581536323<104>
3590587491007274518683721867174151782671220638178765491139202821375972734254606666660256500832567916396129019<109>
factorization results 素因数分解の結果
Number: n
N=142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857137
  ( 213 digits)
SNFS difficulty: 213 digits.
Divisors found:

Tue Oct  3 21:31:11 2017  p104 factor: 39786565071853147898097222909315862167000293241933272565655990446638203720001402887461780439504581536323
Tue Oct  3 21:31:11 2017  p109 factor: 3590587491007274518683721867174151782671220638178765491139202821375972734254606666660256500832567916396129019
Tue Oct  3 21:31:11 2017  elapsed time 04:59:10 (Msieve 1.53 - dependency 1)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.116).
Factorization parameters were as follows:
#
# 10^213-41 = 9(211)59
#
n: 142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857137
m: 100000000000000000000000000000000000
deg: 6
c6: 1000
c0: -41
skew: 0.59
# Murphy_E = 3.639e-12
type: snfs
lss: 1
rlim: 25000000
alim: 25000000
lpbr: 29
lpba: 29
mfbr: 57
mfba: 57
rlambda: 2.6
alambda: 2.6
Factor base limits: 25000000/25000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 57/57
Sieved  special-q in [100000, 54900000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 12418048 hash collisions in 69989405 relations (58778993 unique)
Msieve: matrix is 3439221 x 3439449 (971.5 MB)

Sieving start time: 2017/10/02 11:29:00
Sieving end time  : 2017/10/03 16:30:13

Total sieving time: 29hrs 1min 13secs.

Total relation processing time: 4hrs 32min 39sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 6min 28sec.

Prototype def-par.txt line would be:
snfs,213,6,0,0,0,0,0,0,0,0,25000000,25000000,29,29,57,57,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.178577] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16306368K/16703460K available (9091K kernel code, 1667K rwdata, 3820K rodata, 2232K init, 2364K bss, 397092K reserved, 0K cma-reserved)
[    0.215024] x86/mm: Memory block size: 128MB
[    0.000018] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.38 BogoMIPS (lpj=11976772)
[    0.212835] smpboot: Total of 16 processors activated (95814.17 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:53 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 53 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:35 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 35 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:35 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 35 秒 (日本時間)
4511e61000Serge BatalovDecember 18, 2014 00:18:34 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 34 秒 (日本時間)
5043e61000 / 7244Serge BatalovJanuary 11, 2015 21:31:15 UTC 2015 年 1 月 12 日 (月) 6 時 31 分 15 秒 (日本時間)

10214-41

c121

name 名前Cyp
date 日付November 29, 2014 13:43:36 UTC 2014 年 11 月 29 日 (土) 22 時 43 分 36 秒 (日本時間)
composite number 合成数
1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057<121>
prime factors 素因数
2630887326117513735232435848630470576954555279553518627<55>
568479695381326937433450472498673653512831463028760560128357069091<66>
factorization results 素因数分解の結果
11/24/14 05:37:28 v1.34.3, 
11/24/14 05:37:28 v1.34.3, ****************************
11/24/14 05:37:28 v1.34.3, Starting factorization of 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/24/14 05:37:28 v1.34.3, using pretesting plan: none
11/24/14 05:37:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
11/24/14 05:37:28 v1.34.3, ****************************
11/24/14 05:37:28 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C121
11/24/14 05:37:28 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C121
11/24/14 05:37:28 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C121
11/24/14 05:37:28 v1.34.3, final ECM pretested depth: 0.00
11/24/14 05:37:28 v1.34.3, scheduler: switching to sieve method
11/24/14 05:37:28 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/24/14 05:37:28 v1.34.3, nfs: commencing poly selection with 8 threads
11/24/14 05:37:28 v1.34.3, nfs: setting deadline of 1905 seconds
11/24/14 06:11:16 v1.34.3, nfs: completed 148 ranges of size 250 in 2028.4531 seconds
11/24/14 06:11:16 v1.34.3, nfs: best poly = # norm 2.192867e-11 alpha -7.786600 e 3.087e-10 rroots 3
11/24/14 06:11:16 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 06:17:08 v1.34.3, nfs: commencing lattice sieving with 8 threads
[32 lines snipped]
11/24/14 09:32:46 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 09:38:39 v1.34.3, nfs: commencing lattice sieving with 8 threads
11/24/14 09:44:51 v1.34.3, nfs: commencing msieve filtering
11/25/14 21:46:31 v1.34.3, 
11/25/14 21:46:31 v1.34.3, ****************************
11/25/14 21:46:31 v1.34.3, Starting factorization of 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/25/14 21:46:31 v1.34.3, using pretesting plan: none
11/25/14 21:46:31 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
11/25/14 21:46:31 v1.34.3, ****************************
11/25/14 21:46:31 v1.34.3, nfs: previous data file found - commencing search for last special-q
11/25/14 21:46:40 v1.34.3, nfs: parsing special-q from .dat file
11/25/14 21:46:40 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/25/14 21:46:40 v1.34.3, nfs: resuming with filtering
11/25/14 21:46:40 v1.34.3, nfs: commencing msieve filtering
11/28/14 08:20:23 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/28/14 08:20:23 v1.34.3, nfs: resuming with sieving at user specified special-q 4314899
11/28/14 08:20:23 v1.34.3, nfs: commencing lattice sieving with 1 threads
11/28/14 21:24:04 v1.34.3, 
11/28/14 21:24:04 v1.34.3, ****************************
11/28/14 21:24:04 v1.34.3, Starting factorization of 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/28/14 21:24:04 v1.34.3, using pretesting plan: none
11/28/14 21:24:04 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
11/28/14 21:24:04 v1.34.3, ****************************
11/28/14 21:24:04 v1.34.3, nfs: previous data file found - commencing search for last special-q
11/28/14 21:24:12 v1.34.3, nfs: parsing special-q from .dat file
11/28/14 21:24:12 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/28/14 21:24:12 v1.34.3, nfs: resuming with filtering
11/28/14 21:24:12 v1.34.3, nfs: commencing msieve filtering
11/28/14 21:45:03 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/28/14 21:45:03 v1.34.3, nfs: resuming with sieving at user specified special-q 4324899
11/28/14 21:45:03 v1.34.3, nfs: commencing lattice sieving with 1 threads
11/29/14 09:30:18 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/29/14 09:30:18 v1.34.3, nfs: resuming with sieving at user specified special-q 4424899
11/29/14 09:30:18 v1.34.3, nfs: commencing lattice sieving with 1 threads
11/29/14 14:30:28 v1.34.3, 
11/29/14 14:30:28 v1.34.3, ****************************
11/29/14 14:30:28 v1.34.3, Starting factorization of 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/29/14 14:30:28 v1.34.3, using pretesting plan: none
11/29/14 14:30:28 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
11/29/14 14:30:28 v1.34.3, ****************************
11/29/14 14:30:28 v1.34.3, nfs: previous data file found - commencing search for last special-q
11/29/14 14:30:38 v1.34.3, nfs: parsing special-q from .dat file
11/29/14 14:30:38 v1.34.3, nfs: commencing nfs on c121: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
11/29/14 14:30:38 v1.34.3, nfs: resuming with filtering
11/29/14 14:30:38 v1.34.3, nfs: commencing msieve filtering
11/29/14 14:33:29 v1.34.3, nfs: commencing msieve linear algebra
11/29/14 14:42:27 v1.34.3, nfs: commencing msieve sqrt
11/29/14 14:43:35 v1.34.3, prp66 = 568479695381326937433450472498673653512831463028760560128357069091
11/29/14 14:43:35 v1.34.3, prp55 = 2630887326117513735232435848630470576954555279553518627
11/29/14 14:43:35 v1.34.3, NFS elapsed time = 787.4069 seconds.
11/29/14 14:43:35 v1.34.3, 
11/29/14 14:43:35 v1.34.3, 
11/29/14 14:43:35 v1.34.3, Total factoring time = 787.4075 seconds
--
Mon Nov 24 09:44:51 2014  
Mon Nov 24 09:44:51 2014  commencing relation filtering
Mon Nov 24 09:44:51 2014  estimated available RAM is 15987.3 MB
Mon Nov 24 09:44:51 2014  commencing duplicate removal, pass 1
Mon Nov 24 09:45:26 2014  found 1086620 hash collisions in 10170660 relations
Mon Nov 24 09:45:37 2014  added 62923 free relations
Mon Nov 24 09:45:37 2014  commencing duplicate removal, pass 2
Mon Nov 24 09:45:45 2014  found 527873 duplicates and 9705710 unique relations
Mon Nov 24 09:45:45 2014  memory use: 41.3 MB
Mon Nov 24 09:45:45 2014  reading ideals above 100000
Mon Nov 24 09:45:45 2014  commencing singleton removal, initial pass
Mon Nov 24 09:46:32 2014  memory use: 344.5 MB
Mon Nov 24 09:46:32 2014  reading all ideals from disk
Mon Nov 24 09:46:32 2014  memory use: 343.1 MB
Mon Nov 24 09:46:33 2014  keeping 10847118 ideals with weight <= 200, target excess is 49075
Mon Nov 24 09:46:33 2014  commencing in-memory singleton removal
Mon Nov 24 09:46:34 2014  begin with 9705710 relations and 10847118 unique ideals
Mon Nov 24 09:46:37 2014  reduce to 3287016 relations and 3223664 ideals in 20 passes
Mon Nov 24 09:46:37 2014  max relations containing the same ideal: 97
Mon Nov 24 09:46:39 2014  relations with 0 large ideals: 136
Mon Nov 24 09:46:39 2014  relations with 1 large ideals: 421
Mon Nov 24 09:46:39 2014  relations with 2 large ideals: 6844
Mon Nov 24 09:46:39 2014  relations with 3 large ideals: 57597
Mon Nov 24 09:46:39 2014  relations with 4 large ideals: 259744
Mon Nov 24 09:46:39 2014  relations with 5 large ideals: 664456
Mon Nov 24 09:46:39 2014  relations with 6 large ideals: 980592
Mon Nov 24 09:46:39 2014  relations with 7+ large ideals: 1317226
Mon Nov 24 09:46:39 2014  commencing 2-way merge
Mon Nov 24 09:46:40 2014  reduce to 1772810 relation sets and 1710208 unique ideals
Mon Nov 24 09:46:40 2014  ignored 751 oversize relation sets
Mon Nov 24 09:46:40 2014  commencing full merge
Mon Nov 24 09:47:13 2014  memory use: 83.7 MB
Mon Nov 24 09:47:13 2014  found 91665 cycles, need 381775
Mon Nov 24 09:47:13 2014  too few cycles, matrix probably cannot build
Tue Nov 25 21:46:40 2014  
Tue Nov 25 21:46:40 2014  commencing relation filtering
Tue Nov 25 21:46:40 2014  estimated available RAM is 15987.3 MB
Tue Nov 25 21:46:40 2014  commencing duplicate removal, pass 1
Tue Nov 25 21:47:15 2014  found 1094217 hash collisions in 10233583 relations
Tue Nov 25 21:47:25 2014  commencing duplicate removal, pass 2
Tue Nov 25 21:47:33 2014  found 527873 duplicates and 9705710 unique relations
Tue Nov 25 21:47:33 2014  memory use: 41.3 MB
Tue Nov 25 21:47:33 2014  reading ideals above 100000
Tue Nov 25 21:47:33 2014  commencing singleton removal, initial pass
Tue Nov 25 21:48:20 2014  memory use: 344.5 MB
Tue Nov 25 21:48:20 2014  reading all ideals from disk
Tue Nov 25 21:48:20 2014  memory use: 343.1 MB
Tue Nov 25 21:48:21 2014  keeping 10847118 ideals with weight <= 200, target excess is 49075
Tue Nov 25 21:48:21 2014  commencing in-memory singleton removal
Tue Nov 25 21:48:22 2014  begin with 9705710 relations and 10847118 unique ideals
Tue Nov 25 21:48:26 2014  reduce to 3287016 relations and 3223664 ideals in 20 passes
Tue Nov 25 21:48:26 2014  max relations containing the same ideal: 97
Tue Nov 25 21:48:27 2014  relations with 0 large ideals: 136
Tue Nov 25 21:48:27 2014  relations with 1 large ideals: 421
Tue Nov 25 21:48:27 2014  relations with 2 large ideals: 6844
Tue Nov 25 21:48:27 2014  relations with 3 large ideals: 57597
Tue Nov 25 21:48:27 2014  relations with 4 large ideals: 259744
Tue Nov 25 21:48:27 2014  relations with 5 large ideals: 664456
Tue Nov 25 21:48:27 2014  relations with 6 large ideals: 980592
Tue Nov 25 21:48:27 2014  relations with 7+ large ideals: 1317226
Tue Nov 25 21:48:27 2014  commencing 2-way merge
Tue Nov 25 21:48:28 2014  reduce to 1772810 relation sets and 1710208 unique ideals
Tue Nov 25 21:48:28 2014  ignored 751 oversize relation sets
Tue Nov 25 21:48:28 2014  commencing full merge
Tue Nov 25 21:49:04 2014  memory use: 83.7 MB
Tue Nov 25 21:49:04 2014  found 91665 cycles, need 381775
Tue Nov 25 21:49:04 2014  too few cycles, matrix probably cannot build
Fri Nov 28 21:24:12 2014  
Fri Nov 28 21:24:12 2014  commencing relation filtering
Fri Nov 28 21:24:12 2014  estimated available RAM is 15987.3 MB
Fri Nov 28 21:24:12 2014  commencing duplicate removal, pass 1
Fri Nov 28 21:24:49 2014  found 1149889 hash collisions in 10302238 relations
Fri Nov 28 21:24:59 2014  commencing duplicate removal, pass 2
Fri Nov 28 21:25:08 2014  found 596528 duplicates and 9705710 unique relations
Fri Nov 28 21:25:08 2014  memory use: 41.3 MB
Fri Nov 28 21:25:08 2014  reading ideals above 100000
Fri Nov 28 21:25:08 2014  commencing singleton removal, initial pass
Fri Nov 28 21:25:57 2014  memory use: 344.5 MB
Fri Nov 28 21:25:57 2014  reading all ideals from disk
Fri Nov 28 21:25:57 2014  memory use: 343.1 MB
Fri Nov 28 21:25:57 2014  keeping 10847118 ideals with weight <= 200, target excess is 49075
Fri Nov 28 21:25:58 2014  commencing in-memory singleton removal
Fri Nov 28 21:25:59 2014  begin with 9705710 relations and 10847118 unique ideals
Fri Nov 28 21:26:03 2014  reduce to 3287016 relations and 3223664 ideals in 20 passes
Fri Nov 28 21:26:03 2014  max relations containing the same ideal: 97
Fri Nov 28 21:26:04 2014  relations with 0 large ideals: 136
Fri Nov 28 21:26:04 2014  relations with 1 large ideals: 421
Fri Nov 28 21:26:04 2014  relations with 2 large ideals: 6844
Fri Nov 28 21:26:04 2014  relations with 3 large ideals: 57597
Fri Nov 28 21:26:04 2014  relations with 4 large ideals: 259744
Fri Nov 28 21:26:04 2014  relations with 5 large ideals: 664456
Fri Nov 28 21:26:04 2014  relations with 6 large ideals: 980592
Fri Nov 28 21:26:04 2014  relations with 7+ large ideals: 1317226
Fri Nov 28 21:26:04 2014  commencing 2-way merge
Fri Nov 28 21:26:06 2014  reduce to 1772810 relation sets and 1710208 unique ideals
Fri Nov 28 21:26:06 2014  ignored 751 oversize relation sets
Fri Nov 28 21:26:06 2014  commencing full merge
Fri Nov 28 21:26:43 2014  memory use: 83.7 MB
Fri Nov 28 21:26:43 2014  found 91665 cycles, need 381775
Fri Nov 28 21:26:43 2014  too few cycles, matrix probably cannot build
Sat Nov 29 14:30:38 2014  
Sat Nov 29 14:30:38 2014  commencing relation filtering
Sat Nov 29 14:30:38 2014  estimated available RAM is 15987.3 MB
Sat Nov 29 14:30:38 2014  commencing duplicate removal, pass 1
Sat Nov 29 14:31:26 2014  found 1919181 hash collisions in 13711795 relations
Sat Nov 29 14:31:37 2014  added 318 free relations
Sat Nov 29 14:31:37 2014  commencing duplicate removal, pass 2
Sat Nov 29 14:31:50 2014  found 1051325 duplicates and 12660788 unique relations
Sat Nov 29 14:31:50 2014  memory use: 74.6 MB
Sat Nov 29 14:31:50 2014  reading ideals above 720000
Sat Nov 29 14:31:50 2014  commencing singleton removal, initial pass
Sat Nov 29 14:32:55 2014  memory use: 344.5 MB
Sat Nov 29 14:32:55 2014  reading all ideals from disk
Sat Nov 29 14:32:55 2014  memory use: 361.3 MB
Sat Nov 29 14:32:56 2014  commencing in-memory singleton removal
Sat Nov 29 14:32:56 2014  begin with 12660788 relations and 11879007 unique ideals
Sat Nov 29 14:33:02 2014  reduce to 7222415 relations and 5741094 ideals in 13 passes
Sat Nov 29 14:33:02 2014  max relations containing the same ideal: 115
Sat Nov 29 14:33:04 2014  removing 1588604 relations and 1188604 ideals in 400000 cliques
Sat Nov 29 14:33:05 2014  commencing in-memory singleton removal
Sat Nov 29 14:33:05 2014  begin with 5633811 relations and 5741094 unique ideals
Sat Nov 29 14:33:08 2014  reduce to 5368083 relations and 4268183 ideals in 9 passes
Sat Nov 29 14:33:08 2014  max relations containing the same ideal: 96
Sat Nov 29 14:33:09 2014  removing 1271120 relations and 871120 ideals in 400000 cliques
Sat Nov 29 14:33:10 2014  commencing in-memory singleton removal
Sat Nov 29 14:33:10 2014  begin with 4096963 relations and 4268183 unique ideals
Sat Nov 29 14:33:11 2014  reduce to 3892260 relations and 3177103 ideals in 8 passes
Sat Nov 29 14:33:11 2014  max relations containing the same ideal: 77
Sat Nov 29 14:33:12 2014  removing 1182236 relations and 782236 ideals in 400000 cliques
Sat Nov 29 14:33:13 2014  commencing in-memory singleton removal
Sat Nov 29 14:33:13 2014  begin with 2710024 relations and 3177103 unique ideals
Sat Nov 29 14:33:14 2014  reduce to 2489309 relations and 2152373 ideals in 8 passes
Sat Nov 29 14:33:14 2014  max relations containing the same ideal: 56
Sat Nov 29 14:33:14 2014  removing 657276 relations and 454750 ideals in 202526 cliques
Sat Nov 29 14:33:15 2014  commencing in-memory singleton removal
Sat Nov 29 14:33:15 2014  begin with 1832033 relations and 2152373 unique ideals
Sat Nov 29 14:33:15 2014  reduce to 1710914 relations and 1566801 ideals in 9 passes
Sat Nov 29 14:33:15 2014  max relations containing the same ideal: 42
Sat Nov 29 14:33:16 2014  removing 59401 relations and 49698 ideals in 9703 cliques
Sat Nov 29 14:33:16 2014  commencing in-memory singleton removal
Sat Nov 29 14:33:16 2014  begin with 1651513 relations and 1566801 unique ideals
Sat Nov 29 14:33:16 2014  reduce to 1650172 relations and 1515752 ideals in 6 passes
Sat Nov 29 14:33:16 2014  max relations containing the same ideal: 41
Sat Nov 29 14:33:16 2014  relations with 0 large ideals: 516
Sat Nov 29 14:33:16 2014  relations with 1 large ideals: 4604
Sat Nov 29 14:33:16 2014  relations with 2 large ideals: 50375
Sat Nov 29 14:33:16 2014  relations with 3 large ideals: 212121
Sat Nov 29 14:33:16 2014  relations with 4 large ideals: 436952
Sat Nov 29 14:33:16 2014  relations with 5 large ideals: 487947
Sat Nov 29 14:33:16 2014  relations with 6 large ideals: 314309
Sat Nov 29 14:33:16 2014  relations with 7+ large ideals: 143348
Sat Nov 29 14:33:16 2014  commencing 2-way merge
Sat Nov 29 14:33:17 2014  reduce to 1006479 relation sets and 872059 unique ideals
Sat Nov 29 14:33:17 2014  commencing full merge
Sat Nov 29 14:33:25 2014  memory use: 104.5 MB
Sat Nov 29 14:33:25 2014  found 520502 cycles, need 502259
Sat Nov 29 14:33:25 2014  weight of 502259 cycles is about 35521279 (70.72/cycle)
Sat Nov 29 14:33:25 2014  distribution of cycle lengths:
Sat Nov 29 14:33:25 2014  1 relations: 47871
Sat Nov 29 14:33:25 2014  2 relations: 50663
Sat Nov 29 14:33:25 2014  3 relations: 53357
Sat Nov 29 14:33:25 2014  4 relations: 53509
Sat Nov 29 14:33:25 2014  5 relations: 52348
Sat Nov 29 14:33:25 2014  6 relations: 48311
Sat Nov 29 14:33:25 2014  7 relations: 43306
Sat Nov 29 14:33:25 2014  8 relations: 37252
Sat Nov 29 14:33:25 2014  9 relations: 30951
Sat Nov 29 14:33:25 2014  10+ relations: 84691
Sat Nov 29 14:33:25 2014  heaviest cycle: 17 relations
Sat Nov 29 14:33:25 2014  commencing cycle optimization
Sat Nov 29 14:33:26 2014  start with 2944466 relations
Sat Nov 29 14:33:28 2014  pruned 86087 relations
Sat Nov 29 14:33:28 2014  memory use: 95.9 MB
Sat Nov 29 14:33:28 2014  distribution of cycle lengths:
Sat Nov 29 14:33:28 2014  1 relations: 47871
Sat Nov 29 14:33:28 2014  2 relations: 51869
Sat Nov 29 14:33:28 2014  3 relations: 55449
Sat Nov 29 14:33:28 2014  4 relations: 55421
Sat Nov 29 14:33:28 2014  5 relations: 54387
Sat Nov 29 14:33:28 2014  6 relations: 49830
Sat Nov 29 14:33:28 2014  7 relations: 44434
Sat Nov 29 14:33:28 2014  8 relations: 37591
Sat Nov 29 14:33:28 2014  9 relations: 30808
Sat Nov 29 14:33:28 2014  10+ relations: 74599
Sat Nov 29 14:33:28 2014  heaviest cycle: 17 relations
Sat Nov 29 14:33:29 2014  RelProcTime: 171
Sat Nov 29 14:33:29 2014  
Sat Nov 29 14:33:29 2014  commencing linear algebra
Sat Nov 29 14:33:29 2014  read 502259 cycles
Sat Nov 29 14:33:30 2014  cycles contain 1570514 unique relations
Sat Nov 29 14:33:44 2014  read 1570514 relations
Sat Nov 29 14:33:45 2014  using 20 quadratic characters above 134217048
Sat Nov 29 14:33:51 2014  building initial matrix
Sat Nov 29 14:34:01 2014  memory use: 204.8 MB
Sat Nov 29 14:34:01 2014  read 502259 cycles
Sat Nov 29 14:34:01 2014  matrix is 502080 x 502259 (152.0 MB) with weight 48502462 (96.57/col)
Sat Nov 29 14:34:01 2014  sparse part has weight 33812641 (67.32/col)
Sat Nov 29 14:34:04 2014  filtering completed in 2 passes
Sat Nov 29 14:34:04 2014  matrix is 501774 x 501953 (151.9 MB) with weight 48486125 (96.59/col)
Sat Nov 29 14:34:04 2014  sparse part has weight 33805636 (67.35/col)
Sat Nov 29 14:34:05 2014  matrix starts at (0, 0)
Sat Nov 29 14:34:05 2014  matrix is 501774 x 501953 (151.9 MB) with weight 48486125 (96.59/col)
Sat Nov 29 14:34:05 2014  sparse part has weight 33805636 (67.35/col)
Sat Nov 29 14:34:05 2014  saving the first 48 matrix rows for later
Sat Nov 29 14:34:05 2014  matrix includes 64 packed rows
Sat Nov 29 14:34:05 2014  matrix is 501726 x 501953 (146.1 MB) with weight 38553572 (76.81/col)
Sat Nov 29 14:34:05 2014  sparse part has weight 33267878 (66.28/col)
Sat Nov 29 14:34:05 2014  using block size 65536 for processor cache size 8192 kB
Sat Nov 29 14:34:06 2014  commencing Lanczos iteration (8 threads)
Sat Nov 29 14:34:06 2014  memory use: 138.2 MB
Sat Nov 29 14:34:09 2014  linear algebra at 0.6%, ETA 0h 8m
Sat Nov 29 14:42:26 2014  lanczos halted after 7935 iterations (dim = 501726)
Sat Nov 29 14:42:27 2014  recovered 31 nontrivial dependencies
Sat Nov 29 14:42:27 2014  BLanczosTime: 538
Sat Nov 29 14:42:27 2014  
Sat Nov 29 14:42:27 2014  commencing square root phase
Sat Nov 29 14:42:27 2014  reading relations for dependency 1
Sat Nov 29 14:42:27 2014  read 251258 cycles
Sat Nov 29 14:42:27 2014  cycles contain 785922 unique relations
Sat Nov 29 14:42:39 2014  read 785922 relations
Sat Nov 29 14:42:41 2014  multiplying 785922 relations
Sat Nov 29 14:43:08 2014  multiply complete, coefficients have about 31.92 million bits
Sat Nov 29 14:43:08 2014  initial square root is modulo 1466218969
Sat Nov 29 14:43:35 2014  sqrtTime: 68
--
n: 1495606025733877949164116854644538277399459630601227443986456897226755110206448771281062009247075531067780930037994458057
skew: 510895.45
c0: -2900634666578231949611825119133
c1: -9702027821195639593444236
c2: 246650404277771113495
c3: -185480248293090
c4: 718436008
c5: 336
Y0: -338605814661438014342910
Y1: 2140569770911
rlim: 5800000
alim: 5800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:54 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 54 秒 (日本時間)
403e60--
4511e6601 / 4434KTakahashiNovember 23, 2014 21:24:13 UTC 2014 年 11 月 24 日 (月) 6 時 24 分 13 秒 (日本時間)

10215-41

c179

composite cofactor 合成数の残り
23486446643950813314816977035838892829902920821447906327448746599426132591776659178497301207025954532899887748867036859301729400428649463940092787607963987661213339606394258707213<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:54 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 54 秒 (日本時間)
403e60--
4511e6601 / 4434271CypDecember 29, 2014 09:41:23 UTC 2014 年 12 月 29 日 (月) 18 時 41 分 23 秒 (日本時間)
330CypJuly 6, 2015 13:20:43 UTC 2015 年 7 月 6 日 (月) 22 時 20 分 43 秒 (日本時間)

10216-41

c216

name 名前Serge Batalov
date 日付November 17, 2014 22:24:50 UTC 2014 年 11 月 18 日 (火) 7 時 24 分 50 秒 (日本時間)
composite number 合成数
999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959<216>
prime factors 素因数
37482818721560924274040606675516033891<38>
composite cofactor 合成数の残り
26678890065030740913634062388350312701768053808193184277007513333557853836878680625917288850887954632690447256097798140858741078224593763755833766157380913464196163713906688292349<179>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4279766420
Step 1 took 7620ms
Step 2 took 5038ms
********** Factor found in step 2: 37482818721560924274040606675516033891
Found probable prime factor of 38 digits: 37482818721560924274040606675516033891
Composite cofactor 

c179

name 名前Cyp
date 日付August 2, 2015 12:16:34 UTC 2015 年 8 月 2 日 (日) 21 時 16 分 34 秒 (日本時間)
composite number 合成数
26678890065030740913634062388350312701768053808193184277007513333557853836878680625917288850887954632690447256097798140858741078224593763755833766157380913464196163713906688292349<179>
prime factors 素因数
969128132811887538509606747593532399<36>
27528754105634081938480531931718601515115279148270052832807033500769315282639253481488817149780060987767463037833923985756993925504976445860051<143>
factorization results 素因数分解の結果
Run 106 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=930025779
Step 1 took 58923ms
Step 2 took 5068ms
********** Factor found in step 2: 969128132811887538509606747593532399
Found probable prime factor of 36 digits: 969128132811887538509606747593532399
Probable prime cofactor 27528754105634081938480531931718601515115279148270052832807033500769315282639253481488817149780060987767463037833923985756993925504976445860051 has 143 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:54 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 54 秒 (日本時間)
403e60 / 1707--
4511e6106 / 4434CypAugust 2, 2015 12:16:34 UTC 2015 年 8 月 2 日 (日) 21 時 16 分 34 秒 (日本時間)

10217-41

c206

name 名前Bob Backstrom
date 日付June 22, 2020 01:27:44 UTC 2020 年 6 月 22 日 (月) 10 時 27 分 44 秒 (日本時間)
composite number 合成数
26837736713933598605726952129981934317650838981545873222674119731549752410194602718091161011884286402586334836806337726118801735655958316607857996725552396677907053518933791399130795308285329922276456140673<206>
prime factors 素因数
69864166884336220574668043944279342336700804454527<50>
384141655311869306246804621614903835330318564376880100480826731889982419017923928585769831679519054685578731341272895830407344696914641783818594714445977599<156>
factorization results 素因数分解の結果
Number: n
N=26837736713933598605726952129981934317650838981545873222674119731549752410194602718091161011884286402586334836806337726118801735655958316607857996725552396677907053518933791399130795308285329922276456140673  ( 206 digits)
SNFS difficulty: 217 digits.
Divisors found:

Mon Jun 22 11:21:52 2020  p50 factor: 69864166884336220574668043944279342336700804454527
Mon Jun 22 11:21:52 2020  p156 factor: 384141655311869306246804621614903835330318564376880100480826731889982419017923928585769831679519054685578731341272895830407344696914641783818594714445977599
Mon Jun 22 11:21:52 2020  elapsed time 09:17:37 (Msieve 1.54 - dependency 4)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.119).
Factorization parameters were as follows:
#
# N = 10^217-41 = 9(215)59
#
n: 26837736713933598605726952129981934317650838981545873222674119731549752410194602718091161011884286402586334836806337726118801735655958316607857996725552396677907053518933791399130795308285329922276456140673
m: 10000000000000000000000000000000000000000000
deg: 5
c5: 100
c0: -41
skew: 0.84
# Murphy_E = 2.489e-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, 76100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 9207365 hash collisions in 56994430 relations (49496200 unique)
Msieve: matrix is 4353699 x 4353924 (1519.9 MB)

Sieving start time: 2020/06/20 16:10:32
Sieving end time  : 2020/06/22 02:03:23

Total sieving time: 33hrs 52min 51secs.

Total relation processing time: 8hrs 30min 7sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 29min 24sec.
Prototype def-par.txt line would be:
snfs,217,5,0,0,0,0,0,0,0,0,29000000,29000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.149558] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16283204K/16703460K available (12300K kernel code, 2481K rwdata, 4268K rodata, 2432K init, 2712K bss, 420256K reserved, 0K cma-reserved)
[    0.184558] x86/mm: Memory block size: 128MB
[    0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.59 BogoMIPS (lpj=11977184)
[    0.182227] smpboot: Total of 16 processors activated (95817.47 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:55 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 10, 2015 07:30:59 UTC 2015 年 6 月 10 日 (水) 16 時 30 分 59 秒 (日本時間)

10219-41

c203

name 名前Erik Branger
date 日付November 29, 2019 19:15:20 UTC 2019 年 11 月 30 日 (土) 4 時 15 分 20 秒 (日本時間)
composite number 合成数
69241055411848591254381235874520601325415588470546752464988779957745693806740740523238682473193894104366393784538543668769646067608487189890585903432979940643729172677967320892933381736942053644677019907<203>
prime factors 素因数
224335136588238187269505521735319741138662299396787110135527<60>
308650069110390420964986839487648009583665487157355989001757906842847601478306598052599076557680958837262350550290082551836894912929371440407941<144>
factorization results 素因数分解の結果
Number: 99959_219
N = 69241055411848591254381235874520601325415588470546752464988779957745693806740740523238682473193894104366393784538543668769646067608487189890585903432979940643729172677967320892933381736942053644677019907 (203 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=224335136588238187269505521735319741138662299396787110135527 (pp60)
r2=308650069110390420964986839487648009583665487157355989001757906842847601478306598052599076557680958837262350550290082551836894912929371440407941 (pp144)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 60.89 hours.
Factorization parameters were as follows:
n: 69241055411848591254381235874520601325415588470546752464988779957745693806740740523238682473193894104366393784538543668769646067608487189890585903432979940643729172677967320892933381736942053644677019907
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -410
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 44739242
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/44739242
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 33470451
Relations: 9049258 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 33.33 hours.
Total relation processing time: 0.35 hours.
Pruned matrix : 7687902 x 7688127
Matrix solve time: 26.84 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,44739242,29,28,58,56,2.8,2.8,100000
total time: 60.89 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.18362-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:55 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 55 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 7, 2015 21:38:39 UTC 2015 年 6 月 8 日 (月) 6 時 38 分 39 秒 (日本時間)

10220-41

c158

name 名前Erik Branger
date 日付March 13, 2018 19:13:27 UTC 2018 年 3 月 14 日 (水) 4 時 13 分 27 秒 (日本時間)
composite number 合成数
59804014479737810533983628913498536803441283815622628182785570714527000055319629636439670623260979310612390952545731882623349202587905271002206071114791908003<158>
prime factors 素因数
1739839897689290634002034125969870020730927051363<49>
34373286047276237625974683297734065617345785617514413463344036052642740456370624957951885280519846229132825281<110>
factorization results 素因数分解の結果
Number: 99959_220
N = 59804014479737810533983628913498536803441283815622628182785570714527000055319629636439670623260979310612390952545731882623349202587905271002206071114791908003 (158 digits)
SNFS difficulty: 220 digits.
Divisors found:
r1=1739839897689290634002034125969870020730927051363 (pp49)
r2=34373286047276237625974683297734065617345785617514413463344036052642740456370624957951885280519846229132825281 (pp110)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 75.50 hours.
Factorization parameters were as follows:
n: 59804014479737810533983628913498536803441283815622628182785570714527000055319629636439670623260979310612390952545731882623349202587905271002206071114791908003
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1
c0: -41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 27
mfbr: 58
mfba: 54
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 4
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/27
Total raw relations: 30745061
Relations: 7547748 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 41.49 hours.
Total relation processing time: 0.28 hours.
Pruned matrix : 7022822 x 7023047
Matrix solve time: 33.35 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,220,4,0,0,0,0,0,0,0,0,536870912,536870912,29,27,58,54,2.8,2.8,100000
total time: 75.50 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:56 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 56 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 4, 2015 01:49:02 UTC 2015 年 2 月 4 日 (水) 10 時 49 分 2 秒 (日本時間)

10221-41

c211

name 名前Erik Branger
date 日付October 2, 2019 15:23:26 UTC 2019 年 10 月 3 日 (木) 0 時 23 分 26 秒 (日本時間)
composite number 合成数
9719883512005506975739220617036671176805690882078234140816132571526952645864075488228818129190340864088124563377911949684673861887741902275355923105107696036670288505536719894951628008760380545573797591985775099<211>
prime factors 素因数
1873300462351312439304445248795045902777<40>
5188640961421314624598291793553509298631635576427947410729899663047974321051314117223722891671736035513432299611998413116359916231899713955434060134424990918640359322485587<172>
factorization results 素因数分解の結果
Number: 99959_221
N = 9719883512005506975739220617036671176805690882078234140816132571526952645864075488228818129190340864088124563377911949684673861887741902275355923105107696036670288505536719894951628008760380545573797591985775099 (211 digits)
SNFS difficulty: 221 digits.
Divisors found:
r1=1873300462351312439304445248795045902777 (pp40)
r2=5188640961421314624598291793553509298631635576427947410729899663047974321051314117223722891671736035513432299611998413116359916231899713955434060134424990918640359322485587 (pp172)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 55.57 hours.
Factorization parameters were as follows:
n: 9719883512005506975739220617036671176805690882078234140816132571526952645864075488228818129190340864088124563377911949684673861887741902275355923105107696036670288505536719894951628008760380545573797591985775099
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 10
c0: -41
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 22369622
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Factor base limits: 536870912/22369622
Large primes per side: 3
Large prime bits: 29/28
Relations: 7192742 relations
Pruned matrix : 6428818 x 6429043
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G relations.
Total batch smoothness checking time: 30.42 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 24.49 hours.
time per square root: 0.37 hours.
Prototype def-par.txt line would be: snfs,221,4,0,0,0,0,0,0,0,0,536870912,22369622,29,28,58,56,2.8,2.8,100000
total time: 55.57 hours.
Intel64 Family 6 Model 60 Stepping 3, GenuineIntel
Windows-10-10.0.17763-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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:56 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 56 秒 (日本時間)
403e60--
4511e6601 / 4434CypFebruary 5, 2015 20:18:04 UTC 2015 年 2 月 6 日 (金) 5 時 18 分 4 秒 (日本時間)

10223-41

c197

name 名前Cyp
date 日付May 31, 2015 09:48:53 UTC 2015 年 5 月 31 日 (日) 18 時 48 分 53 秒 (日本時間)
composite number 合成数
84875915068688980228631549862412799902524038238479527531186555350344069444995155207551694062660196447660814477139945699952227681407694572281160608155454754028865151323796257346673343741942102955007<197>
prime factors 素因数
598932646786335374784195133692388043857<39>
141711952961829131259262511983450172733296578733869678310096866958603689940195779503507729750555848369601699015143835498740978970520865760231199083739684271951<159>
factorization results 素因数分解の結果
Run 86 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2244362138
Step 1 took 69918ms
Step 2 took 9932ms
********** Factor found in step 2: 598932646786335374784195133692388043857
Found probable prime factor of 39 digits: 598932646786335374784195133692388043857
Probable prime cofactor 141711952961829131259262511983450172733296578733869678310096866958603689940195779503507729750555848369601699015143835498740978970520865760231199083739684271951 has 159 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:56 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 56 秒 (日本時間)
403e60 / 1776--
4511e686 / 4434CypMay 31, 2015 09:48:53 UTC 2015 年 5 月 31 日 (日) 18 時 48 分 53 秒 (日本時間)

10225-41

c202

composite cofactor 合成数の残り
4528331513363963773692482633450263499000658923285607239213760628428823674431359899696703340978393927913698037825937811060808599462809837183346623300196109366251222988170000729068135123282757069876119537<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:57 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 57 秒 (日本時間)
403e60--
4511e6601 / 4434CypDecember 1, 2014 10:21:43 UTC 2014 年 12 月 1 日 (月) 19 時 21 分 43 秒 (日本時間)

10226-41

c189

name 名前Serge Batalov
date 日付November 18, 2014 06:37:56 UTC 2014 年 11 月 18 日 (火) 15 時 37 分 56 秒 (日本時間)
composite number 合成数
515064700018070613792717954462157515946139263410242641192524124449266458726157892535786668172215915662903453078731496985929029032127777701997806752371856341727807272418257908838735165986329<189>
prime factors 素因数
254506463705342848615946557112367947<36>
2023778463302179275186249250835632935074269856666444257446512786617281652375619232343137071714628124561116078793227108595551461925406535376619498048328107<154>
factorization results 素因数分解の結果
Input number is 515064700018070613792717954462157515946139263410242641192524124449266458726157892535786668172215915662903453078731496985929029032127777701997806752371856341727807272418257908838735165986329 (189 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4269711382
Step 1 took 4585ms
Step 2 took 2934ms
********** Factor found in step 2: 254506463705342848615946557112367947
Found probable prime factor of 36 digits: 254506463705342848615946557112367947
Probable prime cofactor 2023778463302179275186249250835632935074269856666444257446512786617281652375619232343137071714628124561116078793227108595551461925406535376619498048328107 has 154 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:57 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 57 秒 (日本時間)

10228-41

c196

composite cofactor 合成数の残り
1708536796202851074514858399361204370984818462934218822439103832904555998883798794063506306939837132986829173276837039733324585047919301874904822759756632074764686961112990305793209249556959845397<196>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:57 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 57 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 11, 2015 05:31:07 UTC 2015 年 5 月 11 日 (月) 14 時 31 分 7 秒 (日本時間)

10230-41

c226

name 名前Serge Batalov
date 日付November 22, 2014 06:14:24 UTC 2014 年 11 月 22 日 (土) 15 時 14 分 24 秒 (日本時間)
composite number 合成数
2922523891632814098255253236695209983341613817692959639945056550837303094952801239150130052313177660227372358769032936844258701814887336703977555016512259987725399655142180787327936405880118069965221965689569512230762486483327<226>
prime factors 素因数
12849026418451644293153637651096058978322153<44>
composite cofactor 合成数の残り
227450998733722671431203849231099836504041146518598110552924213960872546375027733319012483556867487680574365145714596944410250222821687549084697845535481267830751915281190061311237159<183>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2899328320
Step 1 took 18109ms
Step 2 took 12163ms
********** Factor found in step 2: 12849026418451644293153637651096058978322153
Found probable prime factor of 44 digits: 12849026418451644293153637651096058978322153
Composite cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:58 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 58 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:39 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 39 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:40 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 40 秒 (日本時間)

10232-41

c193

composite cofactor 合成数の残り
5560565812944129177757215011638970234287548406067140710577725630665386633160367745502781086827298554004369155613515796504667296666463897570925920158456415057528718944875069286291547394521594487<193>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:58 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 58 秒 (日本時間)
403e60--
4511e6601 / 4434CypJanuary 24, 2015 09:19:23 UTC 2015 年 1 月 24 日 (土) 18 時 19 分 23 秒 (日本時間)

10233-41

c222

name 名前Cyp
date 日付July 1, 2015 19:39:41 UTC 2015 年 7 月 2 日 (木) 4 時 39 分 41 秒 (日本時間)
composite number 合成数
360324113030980806247843295943274808940667910028707168124541252290286447638688549837583076044691034719497442446536674536471544726029492840901255649378733052029000441634877600239847154388051454864918355455656452538929693027<222>
prime factors 素因数
274123498298054153597255704907194219<36>
composite cofactor 合成数の残り
1314459049545620590312437023659793039135724164636949257239544760148041246960338872663762028118942699131949279470528048631533958760409325426669721290356575657688540624422927450774913760233<187>
factorization results 素因数分解の結果
Run 75 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2022611717
Step 1 took 80582ms
Step 2 took 23958ms
********** Factor found in step 2: 274123498298054153597255704907194219
Found probable prime factor of 36 digits: 274123498298054153597255704907194219
Composite cofactor 1314459049545620590312437023659793039135724164636949257239544760148041246960338872663762028118942699131949279470528048631533958760409325426669721290356575657688540624422927450774913760233 has 187 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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:59 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 59 秒 (日本時間)
403e60--
4511e6601 / 4434CypJuly 1, 2015 19:39:41 UTC 2015 年 7 月 2 日 (木) 4 時 39 分 41 秒 (日本時間)

10237-41

c132

name 名前Erik Branger
date 日付December 12, 2014 15:52:56 UTC 2014 年 12 月 13 日 (土) 0 時 52 分 56 秒 (日本時間)
composite number 合成数
493733098214057544192706478548626863977773217904973646313491935335510058636782648695069116978517085450377553835797129527920648333769<132>
prime factors 素因数
86438866209975441579316632763243749447846358050500837532721<59>
5711933992918089436270732715848227637852902258704108047124139828177809689<73>
factorization results 素因数分解の結果
Number: 99959_237
N = 493733098214057544192706478548626863977773217904973646313491935335510058636782648695069116978517085450377553835797129527920648333769 (132 digits)
Divisors found:
r1=86438866209975441579316632763243749447846358050500837532721 (pp59)
r2=5711933992918089436270732715848227637852902258704108047124139828177809689 (pp73)
Version: Msieve v. 1.51 (SVN 845)
Total time: 96.93 hours.
Factorization parameters were as follows:
# Murphy_E = 5.933e-11, selected by Erik Branger
# expecting poly E from 6.56e-011 to > 7.54e-011
n: 493733098214057544192706478548626863977773217904973646313491935335510058636782648695069116978517085450377553835797129527920648333769
Y0: -30860204910681783631852725
Y1: 7526677142323
c0: 3428324450023463606184633488736208
c1: 36688587709327656924967401308
c2: 75508247316310399693724
c3: 1027529698574731
c4: -60975130578
c5: 17640
skew: 1090129.19
type: gnfs
# selected mechanically
rlim: 10900000
alim: 10900000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
Factor base limits: 10900000/10900000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [0, 0)
Total raw relations: 19590233
Relations: 2695300 relations
Pruned matrix : 1584142 x 1584371
Polynomial selection time: 0.00 hours.
Total sieving time: 94.38 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 2.01 hours.
time per square root: 0.42 hours.
Prototype def-par.txt line would be: gnfs,131,5,65,2000,1e-05,0.28,250,20,50000,3600,10900000,10900000,28,28,54,54,2.6,2.6,100000
total time: 96.93 hours.
Intel64 Family 6 Model 58 Stepping 9, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 8, speed: 2.29GHz
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
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:59 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 59 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:12 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 12 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:09 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 9 秒 (日本時間)

10238-41

c235

name 名前Serge Batalov
date 日付November 22, 2014 05:01:14 UTC 2014 年 11 月 22 日 (土) 14 時 1 分 14 秒 (日本時間)
composite number 合成数
1646632636258850650419891322246006915857072287172731763543553433229046599703606125473406882924419561995718755145726988308908282562160382018771612053350897414786761073604478840770624073769142104396509138811131236621109830396838465338383<235>
prime factors 素因数
153532053956927587397259511506595651<36>
composite cofactor 合成数の残り
10725008842263014708589021891272969754427646425913913458059339065794000049487158974784411308820908823280820558037716664740150913479142353178892846003031622211786963409443821152931988329873728464196933<200>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2810938313
Step 1 took 20891ms
Step 2 took 13070ms
********** Factor found in step 2: 153532053956927587397259511506595651
Found probable prime factor of 36 digits: 153532053956927587397259511506595651
Composite cofactor

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:55:59 UTC 2014 年 11 月 18 日 (火) 5 時 55 分 59 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:43 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 43 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:44 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 44 秒 (日本時間)

10239-41

c205

composite cofactor 合成数の残り
8839398285681950754157958879230113412685379569825516668787393027205000965659051219187098134212329991873378831354238318696880934160665692939431191969964303594892529405336006936293374638007754015046375636293<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:00 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 0 秒 (日本時間)
403e60--
4511e6601 / 4434CypAugust 3, 2015 05:45:18 UTC 2015 年 8 月 3 日 (月) 14 時 45 分 18 秒 (日本時間)

10240-41

c234

composite cofactor 合成数の残り
959833833566732927195643890129740739283215289769035184628837055728912210718080485906279904822877063522762939279951854734908292676371866502471092204517553921065185195139017533284637763510381082826940999974084486493698210965717614966497<234>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:00 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 0 秒 (日本時間)
403e620802000Serge BatalovNovember 22, 2014 04:47:44 UTC 2014 年 11 月 22 日 (土) 13 時 47 分 44 秒 (日本時間)
80Serge BatalovNovember 22, 2014 04:55:45 UTC 2014 年 11 月 22 日 (土) 13 時 55 分 45 秒 (日本時間)
4511e63000 / 39741000Serge BatalovDecember 18, 2014 00:18:59 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 59 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 01:48:48 UTC 2014 年 12 月 18 日 (木) 10 時 48 分 48 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:55 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 55 秒 (日本時間)

10242-41

c180

name 名前Serge Batalov
date 日付November 17, 2014 23:02:39 UTC 2014 年 11 月 18 日 (火) 8 時 2 分 39 秒 (日本時間)
composite number 合成数
147418719025023377785480146351002286749103983493029268615646583721675711353324873918013918838585719736730460164844958222620912220040438531612586117127392716850857586153975710082349<180>
prime factors 素因数
1133270034211430385369924652477541276702077<43>
130082605711535087082313447314682622949994603001124858273514484490330308165498256214277647746493647770605872499758979326981389521956871537<138>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=712360434
Step 1 took 4618ms
Step 2 took 2863ms
********** Factor found in step 2: 1133270034211430385369924652477541276702077
Found probable prime factor of 43 digits: 1133270034211430385369924652477541276702077
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:00 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 0 秒 (日本時間)

10243-41

c216

name 名前Serge Batalov
date 日付November 18, 2014 06:39:48 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 48 秒 (日本時間)
composite number 合成数
481472786177611587388517882573658310994982781451842279169511154383394470932630099561887393349694558441788031562411704758657941943005101542174021728204849118522549681664308774519755325253638767240545905320114248854363<216>
prime factors 素因数
372164657848589537616663111090821<33>
composite cofactor 合成数の残り
1293709050614614440180358129356526880189831096854375499773423810284164074072581562403366972832227108230618488551782150757100842345972231437842402487485237890078208821223221250001783903<184>
factorization results 素因数分解の結果
Input number is 481472786177611587388517882573658310994982781451842279169511154383394470932630099561887393349694558441788031562411704758657941943005101542174021728204849118522549681664308774519755325253638767240545905320114248854363 (216 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3387933016
Step 1 took 6042ms
Step 2 took 3468ms
********** Factor found in step 2: 372164657848589537616663111090821
Found probable prime factor of 33 digits: 372164657848589537616663111090821
Composite cofactor 1293709050614614440180358129356526880189831096854375499773423810284164074072581562403366972832227108230618488551782150757100842345972231437842402487485237890078208821223221250001783903 has 184 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:01 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 1 秒 (日本時間)
403e60--
4511e6601 / 4434CypJanuary 23, 2015 20:01:11 UTC 2015 年 1 月 24 日 (土) 5 時 1 分 11 秒 (日本時間)

10244-41

c214

composite cofactor 合成数の残り
1655374683436931370924193435646742863015011387227277950822295966106929456291444646572816227303671962134663803020940469652823014880871118073171723030817504094499092752975111210417495640101853931819980525149299531087<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:01 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 1 秒 (日本時間)
403e60--
4511e6601 / 4434CypMay 18, 2015 07:35:21 UTC 2015 年 5 月 18 日 (月) 16 時 35 分 21 秒 (日本時間)

10245-41

c214

name 名前Serge Batalov
date 日付November 17, 2014 22:28:04 UTC 2014 年 11 月 18 日 (火) 7 時 28 分 4 秒 (日本時間)
composite number 合成数
2887624607735070709095128448451460407162307129528342442814169994856415246877620605412981265609555284387822238513783926700506224600898777016936295116833348975503077280111014049487994847710540239952570930497124032929<214>
prime factors 素因数
252790006043821503896575921824761833<36>
11423017281919352906557727720223453258076377355266910879398150730655335647995550441872081297165997086978776345267763345964978241235017499010810888901770914559881289362548694462713<179>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=3713480697
Step 1 took 6067ms
Step 2 took 3495ms
********** Factor found in step 2: 252790006043821503896575921824761833
Found probable prime factor of 36 digits: 252790006043821503896575921824761833
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:02 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 2 秒 (日本時間)

10246-41

c231

composite cofactor 合成数の残り
144114779928277615434848962699355891062650528262699141986695285699855956742968689845030898542683356533237862474719409131515936372288127680909640527007894641573099948412016167634360337829972931043201137685262269646204185990499134409<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:02 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 2 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 17, 2015 06:06:59 UTC 2015 年 6 月 17 日 (水) 15 時 6 分 59 秒 (日本時間)

10247-41

c237

name 名前Serge Batalov
date 日付November 17, 2014 22:21:50 UTC 2014 年 11 月 18 日 (火) 7 時 21 分 50 秒 (日本時間)
composite number 合成数
392924847132728693644751688017333775584760805573580143586637692519937948093217172150302500063856083300563620465503409390214994205713506127588983639946527940454585649882165427713373222252555413570271639046170201198442229592979019948591779<237>
prime factors 素因数
195624636344523842563153430511450283<36>
44064086712459229816243303511850397741<38>
45582818175763736701081508749040344654604774719141053639010759613466685991168939931995709788262732113746968154906245711187975816525666765412261594671363581934478893<164>
factorization results 素因数分解の結果
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=782359539
Step 1 took 6968ms
Step 2 took 2492ms
********** Factor found in step 2: 195624636344523842563153430511450283
Found probable prime factor of 36 digits: 195624636344523842563153430511450283
 
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=4076145061
Step 1 took 7009ms
Step 2 took 3881ms
********** Factor found in step 2: 44064086712459229816243303511850397741
Found probable prime factor of 38 digits: 44064086712459229816243303511850397741

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:02 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 2 秒 (日本時間)

10248-41

c234

name 名前Serge Batalov
date 日付November 18, 2014 06:39:45 UTC 2014 年 11 月 18 日 (火) 15 時 39 分 45 秒 (日本時間)
composite number 合成数
103128894796269697663855861778378941380451315072708906118366837400715334384169497653783304617094467681865783588938415898972813929056645240218926607121426454672502073535195861625739493649656095580912873555575437006458942351921457523247<234>
prime factors 素因数
8203478185915980752937931177656721<34>
composite cofactor 合成数の残り
12571362105079404430376973498901784253673961186189528126672452139427329103177565488097598964799470421030992071888272963685853775201412032483902882900843758055825620593025555323780566604287278204342207<200>
factorization results 素因数分解の結果
Input number is 103128894796269697663855861778378941380451315072708906118366837400715334384169497653783304617094467681865783588938415898972813929056645240218926607121426454672502073535195861625739493649656095580912873555575437006458942351921457523247 (234 digits)
Using B1=1000000, B2=2139490090, polynomial Dickson(6), sigma=1148317906
Step 1 took 6983ms
Step 2 took 3834ms
********** Factor found in step 2: 8203478185915980752937931177656721
Found probable prime factor of 34 digits: 8203478185915980752937931177656721
Composite cofactor 12571362105079404430376973498901784253673961186189528126672452139427329103177565488097598964799470421030992071888272963685853775201412032483902882900843758055825620593025555323780566604287278204342207 has 200 digits

c200

name 名前Cyp
date 日付December 3, 2014 22:14:28 UTC 2014 年 12 月 4 日 (木) 7 時 14 分 28 秒 (日本時間)
composite number 合成数
12571362105079404430376973498901784253673961186189528126672452139427329103177565488097598964799470421030992071888272963685853775201412032483902882900843758055825620593025555323780566604287278204342207<200>
prime factors 素因数
19298173615673920486872752638736071567<38>
composite cofactor 合成数の残り
651427557624882216273919906391887684829131730823878520600245691427998042833891603930735494742859829219033442964524757834701963112704617588392690189877005158387921<162>
factorization results 素因数分解の結果
Run 56 out of 601:
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2151555186
Step 1 took 69184ms
Step 2 took 20757ms
********** Factor found in step 2: 19298173615673920486872752638736071567
Found probable prime factor of 38 digits: 19298173615673920486872752638736071567
Composite cofactor 651427557624882216273919906391887684829131730823878520600245691427998042833891603930735494742859829219033442964524757834701963112704617588392690189877005158387921 has 162 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

c162

name 名前Dmitry Domanov
date 日付March 1, 2016 12:47:31 UTC 2016 年 3 月 1 日 (火) 21 時 47 分 31 秒 (日本時間)
composite number 合成数
651427557624882216273919906391887684829131730823878520600245691427998042833891603930735494742859829219033442964524757834701963112704617588392690189877005158387921<162>
prime factors 素因数
8443855293142879782665237304118581214166281213<46>
77148119550781045072496668812159094800372846468609425500637446066026949570396516568632743035636900666752770553622117<116>
factorization results 素因数分解の結果
Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=4135769216
Step 1 took 213477ms
Step 2 took 55895ms
********** Factor found in step 2: 8443855293142879782665237304118581214166281213
Found probable prime factor of 46 digits: 8443855293142879782665237304118581214166281213

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:03 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 3 秒 (日本時間)
403e60--
4511e61401 / 2329601CypDecember 3, 2014 22:14:27 UTC 2014 年 12 月 4 日 (木) 7 時 14 分 27 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 00:37:25 UTC 2016 年 2 月 11 日 (木) 9 時 37 分 25 秒 (日本時間)
5043e6600 / 7233Dmitry DomanovMarch 1, 2016 11:25:43 UTC 2016 年 3 月 1 日 (火) 20 時 25 分 43 秒 (日本時間)

10249-41

c229

composite cofactor 合成数の残り
1311947611305206745435168331355369477316376762800460635326935230646929755487793182324948849483800305547781960870611248888374965210329859840967073498714191181270545998908532174962632383940982013159471053791299289668960776312562921<229>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:03 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 3 秒 (日本時間)
403e60--
4511e6601 / 4434CypJune 2, 2015 05:48:35 UTC 2015 年 6 月 2 日 (火) 14 時 48 分 35 秒 (日本時間)

10250-41

c250

name 名前NFS@home + Rich Dickerson
date 日付February 13, 2020 00:34:56 UTC 2020 年 2 月 13 日 (木) 9 時 34 分 56 秒 (日本時間)
composite number 合成数
9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959<250>
prime factors 素因数
9456228473907856204227837276299918911513979108458846735787007148939579381013963709713267771746649904684169657369485566404693<124>
1057504059635672719692295202974660417514878944415136443985191083254561862210324116583281233632957829302735582696946576621495163<127>
factorization results 素因数分解の結果
p124 factor: 9456228473907856204227837276299918911513979108458846735787007148939579381013963709713267771746649904684169657369485566404693
p127 factor: 1057504059635672719692295202974660417514878944415136443985191083254561862210324116583281233632957829302735582696946576621495163
Complete post-processing log at: https://pastebin.com/je0g1Avq
software ソフトウェア
GGNFS-lasieve4I14e + Msieve v1.54
execution environment 実行環境
Core-i5 2500K,  Linux-OpenSUSE

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61018118Makoto KamadaNovember 17, 2014 07:00:00 UTC 2014 年 11 月 17 日 (月) 16 時 0 分 0 秒 (日本時間)
900Serge BatalovNovember 17, 2014 20:56:04 UTC 2014 年 11 月 18 日 (火) 5 時 56 分 4 秒 (日本時間)
403e62100Serge BatalovNovember 19, 2014 00:14:59 UTC 2014 年 11 月 19 日 (水) 9 時 14 分 59 秒 (日本時間)
4511e64000Serge BatalovNovember 19, 2014 00:31:03 UTC 2014 年 11 月 19 日 (水) 9 時 31 分 3 秒 (日本時間)
5043e61267Serge BatalovJanuary 6, 2015 01:38:10 UTC 2015 年 1 月 6 日 (火) 10 時 38 分 10 秒 (日本時間)
5511e7202001100Serge BatalovJanuary 5, 2015 02:07:43 UTC 2015 年 1 月 5 日 (月) 11 時 7 分 43 秒 (日本時間)
1100Serge BatalovJanuary 6, 2015 01:23:26 UTC 2015 年 1 月 6 日 (火) 10 時 23 分 26 秒 (日本時間)
18000yoyo@homeJanuary 20, 2019 12:41:16 UTC 2019 年 1 月 20 日 (日) 21 時 41 分 16 秒 (日本時間)

10251-41

c249

composite cofactor 合成数の残り
729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007299270072992700729927007<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10253-41

c200

composite cofactor 合成数の残り
81524230797659737647789414986501262153377338051520909596784700704079273549623092456530583546161996298696715860691730908686646190773533379165838011340177265819060973699603288430321346551499553148459619<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10255-41

c221

composite cofactor 合成数の残り
34156610484660103957536120377483332971980399991897432312100971458383514565726926701353555649314156203728674270428671989063558194343085560952116536743323913693375138403194755530030879905273704234011057435873488708979252401<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10256-41

c241

composite cofactor 合成数の残り
2139136072008756518869839589249113209515737454528680656342294190814153467641021021960111101085849192341532853216810727744756114626833090306734029477965458095003777835064384077749774221329428208219138448693750598840886948746770628162920909609<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10258-41

c226

composite cofactor 合成数の残り
1693617422848873573001351355383624061707469418212769487008425639851486493656404218011238941369328325929455457838585157449237202428895290242377134476604511795279633306215526255027451399576997333741840022159331888054385877807519<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10259-41

c189

composite cofactor 合成数の残り
481915403364393464323361274932072295038149015908363488105834427008915256989193706408657086314221302493321704462895116261839075141153291837330195037007828017577950106539665151305629969135849<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10260-41

c188

composite cofactor 合成数の残り
33668545561951602314501611760702009147934674293848085063674368691915963542385930983421655031942699803087315681831819950842773909488167776476859732722099476357056759072345596158416414476647<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10261-41

c245

composite cofactor 合成数の残り
25507721868426110365927811009520010375822794078633353249428065329040427419323327288982097139216603603507780717965731303447972245924645148749234878888478880916005452969368933751101502279474876922701920469127933493443237980442774819745927487651833<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10262-41

c214

composite cofactor 合成数の残り
8730942018149011829463167870636875701014704600743845955748546000507023326267912855137386996694007468427567627794216901917850086703828866696523626459377853466196440127999420165027759087139863050686538717168219906833<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10263-41

c246

composite cofactor 合成数の残り
538182641045861951842409594308429902461975084289190577445328287169995896370029940472181570820548429639654769750858062041675411295784190765216607612148913126934660183082572062681485403233472588819872608589657026961251667304943366835201333175212203<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10264-41

c213

composite cofactor 合成数の残り
754842905180033483196935326285316110731115868724563990612710695857759592560245043277954909275540467231273156638954995163819016134558886384899447582651983723949514568049053373882191867273884516979856384942418117163<213>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10265-41

c236

composite cofactor 合成数の残り
11867576078280375488553087458443390266353481099446653871051061411862425627448875152770880236832773284524340475039876672098438296970420758098168896821132405579672083571384043662306260246309273760350785023560450121683225719168721126432241<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10266-41

c226

composite cofactor 合成数の残り
1352568177504527737046366402749333882348009264892510404762266242283650355321272148243003087765624359632414798206596154219855086895636429959175822009264945730879743226588489158598244730556279895342755362128125663097327022054073<226>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10267-41

c192

composite cofactor 合成数の残り
227753001712855667228592512437994565243254403139816894967050407201470725896302367717917380781294836211115881930439569882517911079937920113758485708246785034261066213010527331743869816345008043<192>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10268-41

c205

composite cofactor 合成数の残り
8548399488385537618869246195325441801259361131160479239440813125358012984993365021091242896724066124254249237585776553967564240433904154397493468245400134819449987959602558318766822314838542033067019681253<205>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10271-41

c265

composite cofactor 合成数の残り
1396821867078710493163325212676605426736762912814988569108250761372679197928122060999490299700702978541044702629894306679783755213113810671132399297175109360676028259941285989639213483130372788010351567492546907722734770486103787496460802594289317287947424742380651<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10272-41

c184

composite cofactor 合成数の残り
1187884102202645028455603025258818728159518063662598967227922910410556654229629978192436951494976777418288887008811707038635434922553923014746917060226062603666034895774542226488601579<184>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e620001000Dmitry DomanovJuly 18, 2018 18:22:20 UTC 2018 年 7 月 19 日 (木) 3 時 22 分 20 秒 (日本時間)
1000Dmitry DomanovJuly 19, 2018 08:57:50 UTC 2018 年 7 月 19 日 (木) 17 時 57 分 50 秒 (日本時間)
5043e62342 / 7010400Dmitry DomanovJuly 20, 2018 15:44:47 UTC 2018 年 7 月 21 日 (土) 0 時 44 分 47 秒 (日本時間)
150Dmitry DomanovJuly 21, 2018 01:29:14 UTC 2018 年 7 月 21 日 (土) 10 時 29 分 14 秒 (日本時間)
1792Dmitry DomanovApril 16, 2024 20:41:12 UTC 2024 年 4 月 17 日 (水) 5 時 41 分 12 秒 (日本時間)

10274-41

c244

composite cofactor 合成数の残り
1541439675777337692939725779087811951840176482612477424213116491167797681194672322596470706336161339224808237054623181414482846279079724093827777488695091261389546067830791218456422635545287867647411649670256891090329633705694213030446995847659<244>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10276-41

c208

composite cofactor 合成数の残り
3131693220940485476723136091490092057806636059345325802299650986343085294041911974936521387506610672884433796832668105147924990506447103270646868940553962415352612400762544543933150385855426446118761654450309<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10277-41

c255

composite cofactor 合成数の残り
407645309906944812218281486039937625067604760823735068051505451800306710301186223652573138240097753749526991549348146335429746584337499692477100612753573224484597024668428441638714249815646198738248707381418282521723818017608484347808559949542347122907357<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10278-41

c246

composite cofactor 合成数の残り
175938037532787760011104951069948454514662017972571312501891835977000956956525741449238181684637348494112824240179985226816598937160190985434120087180852717474238538144775044519074861743965244283122325569547251621485755139865995121882295257167847<246>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10281-41

c254

composite cofactor 合成数の残り
79179623920338759624789345974755913706828198716871488771440377325776223213038249409864736262741830502034746309206863480965234206243992174686053215461027200810492373446837405565492281558100352167524644137589821038084842107516214540684679603308142681912467<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10283-41

c216

composite cofactor 合成数の残り
244962702201854936520368060547498778043185748306072161948687290303981994977842028687726947217481336564526296351171410955263268318984491682559024197779229393062661073347387776878941656270240573085265888628933088354319<216>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10285-41

c285

composite cofactor 合成数の残り
142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857137<285>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10286-41

c181

name 名前Dmitry Domanov
date 日付July 8, 2018 15:11:31 UTC 2018 年 7 月 9 日 (月) 0 時 11 分 31 秒 (日本時間)
composite number 合成数
1122569034639351864631970405697465841114017750958901657124872214993688300417054525322444299524649985308820020466173027205440977043212152563796730072536507614966452954891066932188937<181>
prime factors 素因数
338220312400887031215480527480185247921777<42>
composite cofactor 合成数の残り
3319046767684340198555722963417070242708183460509549893286773525545767782375137528616338464952084312422686015342291613569252884102649325081<139>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3:582318740
Step 1 took 222588ms
Step 2 took 79379ms
********** Factor found in step 2: 338220312400887031215480527480185247921777
Found prime factor of 42 digits: 338220312400887031215480527480185247921777
Composite cofactor 3319046767684340198555722963417070242708183460509549893286773525545767782375137528616338464952084312422686015342291613569252884102649325081 has 139 digits

c139

name 名前Kenji Ibusuki
date 日付September 22, 2018 16:00:36 UTC 2018 年 9 月 23 日 (日) 1 時 0 分 36 秒 (日本時間)
composite number 合成数
3319046767684340198555722963417070242708183460509549893286773525545767782375137528616338464952084312422686015342291613569252884102649325081<139>
prime factors 素因数
573690538729364269353556057885203092106979963001<48>
5785430547687809127236573669112014231083326308973327820634210645998109626167229771186322081<91>
factorization results 素因数分解の結果
Number: 99959_286
N=3319046767684340198555722963417070242708183460509549893286773525545767782375137528616338464952084312422686015342291613569252884102649325081
  ( 139 digits)
Divisors found (Total dependency: 1):
 r1=573690538729364269353556057885203092106979963001 (pp48)
 r2=5785430547687809127236573669112014231083326308973327820634210645998109626167229771186322081 (pp91)
Msieve version (polynomial selection): Msieve v. 1.52 (SVN 958)
Msieve version (other): Msieve v. 1.49 (SVN unknown)
GGNFS version (latsieve): GGNFS-0.77.1-VC8(UTE)
Total time: 640.71 hours (28.92 calendar hours).
Scaled time: 2892.79 units (timescale=4.515).
Factorization parameters were as follows:
n: 3319046767684340198555722963417070242708183460509549893286773525545767782375137528616338464952084312422686015342291613569252884102649325081
type: gnfs
deg: 5
skew: 1671446.12
c0: 18039465071819948671976872100585680
c1: 62112818522986336375307486468
c2: -8901890575884433249792
c3: -55459294433421395
c4: 7259774346
c5: 6216
Y0: -882064687477958885910063447
Y1: 324555986741557
rlim: 16600000
alim: 16600000
lpbr: 28
lpba: 28
mfbr: 55
mfba: 55
rlambda: 2.6
alambda: 2.6
relslim: 33700000
#q0: 8300000
qintsize: 5000
#lss: 1
#Murphy_E: 2.639e-011

Polynomial score was as follows:
skew 1671446.12, size 2.687e-013, alpha -6.474, combined = 2.916e-011 rroots = 5
Factor base limits: 16600000/16600000
Large primes per side: 3
Large prime bits: 28/28
Sieved special-q in [8300000, 30390001)
Relations: raw-rels:33879938, rels:28531566, finalFF:1753578
Pruned matrix : 1753023 x 1753248
Total polynomial selection time: 96.36 hours (4.69 calendar hours).
Total sieving time: 531.19 hours (22.15 calendar hours).
Total relation processing time: 0.13 hours.
Total matrix build processing time: 0.03 hours.
Matrix pruned processing time: (N/A)
Matrix solve time: 12.92 hours (1.85 calendar hours).
Total time of square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,138,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,16600000,16600000,28,28,55,55,2.6,2.6,100000
total time: 640.71 hours (28.92 calendar hours).
 --------- CPU info (if available) ----------
software ソフトウェア
Msieve v. 1.52 (SVN 958) + Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with 
factMsieve.pl (decomposed + modified) nfs
(without procrels.exe, matbuild.exe for "finalFF" calculation)
execution environment 実行環境
[Envilonment]
  PC #1   (Master) --- Intel Core i7 2600, 16GB RAM, Windows 7 64bit
  PC #2,3 (Slave)  --- Intel Core i7 4770, 16GB RAM, Windows 7 64bit
  PC #4   (Slave)  --- Intel Core 2 Quad Q6600, 4GB RAM, Windows Vista 32bit

[Threads used]
  (Polyselection)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
  (Sieving)
    PC #1   --- 7 threads used
    PC #2,3 --- 7 threads used x 2
    PC #4   --- 4 threads used
  (Relation processing and Matrix build processing)
    PC #1   --- 1 thread used
  (Matrix solve)
    PC #1   --- 7 threads used
  (Square root processing)
    PC #1   --- 1 thread used

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e61000 / 3928Dmitry DomanovJuly 7, 2018 18:51:27 UTC 2018 年 7 月 8 日 (日) 3 時 51 分 27 秒 (日本時間)

10287-41

c278

composite cofactor 合成数の残り
48321791128291464352850632178506197380610714019732163783369094269485786312574619325290532969172132900564467282287219862395069490294542399724405748796521751858814755288739462404794347402693313508345644223710481094057422706638599830524944362615866975323911512163851435169252797143<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10288-41

c272

composite cofactor 合成数の残り
66586884217350532821161393242667148133846127087898644742621626192774513971631580865004333057193629720150101842777499860883864061708172240919705978274060612810113566244349574309444441976191919508873329432992370582787008153373044043939740968736249178092171453063959691611443<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10290-41

c271

composite cofactor 合成数の残り
1074086311935407402103230911059556742870644333491560499294992546634842267159157203098516824662750397666501028512564540944821896248687823156769333603143296374248280109242225042906607369756366695172560819020646425200501325998434063345154436745924490185209254335656461278357<271>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10291-41

c217

composite cofactor 合成数の残り
5344150434047318147213244767913580045440595418224165371116089749778387034218805885434424553963761244188615648981399937720778384970886597733168050132152726659345414400299568141706830337929044268430360392573478853508047<217>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10292-41

c254

composite cofactor 合成数の残り
16636551149211814387784328124265731513595670025754440643468518378919646264785849126902087208176169856245504898576361218493288221075603631172026777563053732064410454255898571839544006340888525802767853988357270779203356626212389799172885207150201814902741<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10294-41

c275

composite cofactor 合成数の残り
43145766479795619995740144587979456114825225741909666104861341763734135380417033988440642976423080234000388866922222972073548775780108290188324716970661533370708310316461716928559359404592599686953163835483755980927431091946427200020954374635711155694872835038146010028768391<275>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10295-41

c255

composite cofactor 合成数の残り
422573703011703602251087241982017117196185958473556708643812651278731062767613353941071998980145735269909481394516823549414465812414625902727396071895360782709694002169681463876444461585902861103926848292539144216599394631630065938951496400991454364493027<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10297-41

c251

composite cofactor 合成数の残り
57075667618941037778765742405635648693532614205765060130606448941144331107798713349182862385821891817342010043136854707893666289877705946368641727771404950681423907024251595486317630828216036158143231412494503520498435738382430793687572130332551808917<251>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10298-41

c276

composite cofactor 合成数の残り
437773070693709587299550010467956489729372025268540183630933995186267577773366633173132233730898515134430019797847495223097426958801028181499247907723450347375548495269433984668919550784307175354312739032800826625777891534765118129314827679024642723384963360670315817081769771<276>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10299-41

c281

composite cofactor 合成数の残り
18549152366729458025433791842242632197741445194736663581775096916159029607657158135725578590159226534243931652741444969813022472159305891490242008745600022305559938574886465156733870845782503905218916752527308503345693235456759774655516623627293542778179729337250436444787714092569<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)

10300-41

c255

composite cofactor 合成数の残り
174266681244984306199691354416623245135347502678057999390113223954067622440316246335666486288489000596153362877405993414217632365077502689043022495863303611974479935196972918934997820764308079043236593773767131986265536434650794538821057291056449469496559<255>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
403e62500Erik BrangerJune 12, 2018 00:00:00 UTC 2018 年 6 月 12 日 (火) 9 時 0 分 0 秒 (日本時間)
4511e640001000Dmitry DomanovJuly 10, 2018 19:51:34 UTC 2018 年 7 月 11 日 (水) 4 時 51 分 34 秒 (日本時間)
3000Dmitry DomanovJuly 13, 2018 22:25:17 UTC 2018 年 7 月 14 日 (土) 7 時 25 分 17 秒 (日本時間)